%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG091+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 11:49:35 AM UTC 2026
% Result : Theorem 0.22s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG091+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 12:56:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.45 % Drodi V4.1.1
% 0.22/0.47 % Refutation found
% 0.22/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.47 fof(f1,axiom,(
% 0.22/0.47 ( e0 != e1& e0 != e2& e0 != e3& e0 != e4& e1 != e2& e1 != e3& e1 != e4& e2 != e3& e2 != e4& e3 != e4 ) ),
% 0.22/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.47 fof(f2,axiom,(
% 0.22/0.47 ( op(e0,e0) = e0& op(e0,e1) = e1& op(e0,e2) = e2& op(e0,e3) = e3& op(e0,e4) = e4& op(e1,e0) = e1& op(e1,e1) = e0& op(e1,e2) = e3& op(e1,e3) = e4& op(e1,e4) = e2& op(e2,e0) = e2& op(e2,e1) = e4& op(e2,e2) = e0& op(e2,e3) = e1& op(e2,e4) = e3& op(e3,e0) = e3& op(e3,e1) = e2& op(e3,e2) = e4& op(e3,e3) = e0& op(e3,e4) = e1& op(e4,e0) = e4& op(e4,e1) = e3& op(e4,e2) = e1& op(e4,e3) = e2& op(e4,e4) = e0 ) ),
% 0.22/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.47 fof(f3,axiom,(
% 0.22/0.47 unit = e0 ),
% 0.22/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.47 fof(f4,conjecture,(
% 0.22/0.47 ( ( op(e0,e0) != e0| op(e0,e0) = e0 )& ( op(e0,e0) != e1| op(e0,e1) = e0 )& ( op(e0,e0) != e2| op(e0,e2) = e0 )& ( op(e0,e0) != e3| op(e0,e3) = e0 )& ( op(e0,e0) != e4| op(e0,e4) = e0 )& ( op(e1,e1) != e0| op(e1,e0) = e1 )& ( op(e1,e1) != e1| op(e1,e1) = e1 )& ( op(e1,e1) != e2| op(e1,e2) = e1 )& ( op(e1,e1) != e3| op(e1,e3) = e1 )& ( op(e1,e1) != e4| op(e1,e4) = e1 )& ( op(e2,e2) != e0| op(e2,e0) = e2 )& ( op(e2,e2) != e1| op(e2,e1) = e2 )& ( op(e2,e2) != e2| op(e2,e2) = e2 )& ( op(e2,e2) != e3| op(e2,e3) = e2 )& ( op(e2,e2) != e4| op(e2,e4) = e2 )& ( op(e3,e3) != e0| op(e3,e0) = e3 )& ( op(e3,e3) != e1| op(e3,e1) = e3 )& ( op(e3,e3) != e2| op(e3,e2) = e3 )& ( op(e3,e3) != e3| op(e3,e3) = e3 )& ( op(e3,e3) != e4| op(e3,e4) = e3 )& ( op(e4,e4) != e0| op(e4,e0) = e4 )& ( op(e4,e4) != e1| op(e4,e1) = e4 )& ( op(e4,e4) != e2| op(e4,e2) = e4 )& ( op(e4,e4) != e3| op(e4,e3) = e4 )& ( op(e4,e4) != e4| op(e4,e4) = e4 )& ( op(e0,e0) = e0| op(e0,e0) = e1| op(e0,e0) = e2| op(e0,e0) = e3| op(e0,e0) = e4 )& ( op(e0,e1) = e0| op(e0,e1) = e1| op(e0,e1) = e2| op(e0,e1) = e3| op(e0,e1) = e4 )& ( op(e0,e2) = e0| op(e0,e2) = e1| op(e0,e2) = e2| op(e0,e2) = e3| op(e0,e2) = e4 )& ( op(e0,e3) = e0| op(e0,e3) = e1| op(e0,e3) = e2| op(e0,e3) = e3| op(e0,e3) = e4 )& ( op(e0,e4) = e0| op(e0,e4) = e1| op(e0,e4) = e2| op(e0,e4) = e3| op(e0,e4) = e4 )& ( op(e1,e0) = e0| op(e1,e0) = e1| op(e1,e0) = e2| op(e1,e0) = e3| op(e1,e0) = e4 )& ( op(e1,e1) = e0| op(e1,e1) = e1| op(e1,e1) = e2| op(e1,e1) = e3| op(e1,e1) = e4 )& ( op(e1,e2) = e0| op(e1,e2) = e1| op(e1,e2) = e2| op(e1,e2) = e3| op(e1,e2) = e4 )& ( op(e1,e3) = e0| op(e1,e3) = e1| op(e1,e3) = e2| op(e1,e3) = e3| op(e1,e3) = e4 )& ( op(e1,e4) = e0| op(e1,e4) = e1| op(e1,e4) = e2| op(e1,e4) = e3| op(e1,e4) = e4 )& ( op(e2,e0) = e0| op(e2,e0) = e1| op(e2,e0) = e2| op(e2,e0) = e3| op(e2,e0) = e4 )& ( op(e2,e1) = e0| op(e2,e1) = e1| op(e2,e1) = e2| op(e2,e1) = e3| op(e2,e1) = e4 )& ( op(e2,e2) = e0| op(e2,e2) = e1| op(e2,e2) = e2| op(e2,e2) = e3| op(e2,e2) = e4 )& ( op(e2,e3) = e0| op(e2,e3) = e1| op(e2,e3) = e2| op(e2,e3) = e3| op(e2,e3) = e4 )& ( op(e2,e4) = e0| op(e2,e4) = e1| op(e2,e4) = e2| op(e2,e4) = e3| op(e2,e4) = e4 )& ( op(e3,e0) = e0| op(e3,e0) = e1| op(e3,e0) = e2| op(e3,e0) = e3| op(e3,e0) = e4 )& ( op(e3,e1) = e0| op(e3,e1) = e1| op(e3,e1) = e2| op(e3,e1) = e3| op(e3,e1) = e4 )& ( op(e3,e2) = e0| op(e3,e2) = e1| op(e3,e2) = e2| op(e3,e2) = e3| op(e3,e2) = e4 )& ( op(e3,e3) = e0| op(e3,e3) = e1| op(e3,e3) = e2| op(e3,e3) = e3| op(e3,e3) = e4 )& ( op(e3,e4) = e0| op(e3,e4) = e1| op(e3,e4) = e2| op(e3,e4) = e3| op(e3,e4) = e4 )& ( op(e4,e0) = e0| op(e4,e0) = e1| op(e4,e0) = e2| op(e4,e0) = e3| op(e4,e0) = e4 )& ( op(e4,e1) = e0| op(e4,e1) = e1| op(e4,e1) = e2| op(e4,e1) = e3| op(e4,e1) = e4 )& ( op(e4,e2) = e0| op(e4,e2) = e1| op(e4,e2) = e2| op(e4,e2) = e3| op(e4,e2) = e4 )& ( op(e4,e3) = e0| op(e4,e3) = e1| op(e4,e3) = e2| op(e4,e3) = e3| op(e4,e3) = e4 )& ( op(e4,e4) = e0| op(e4,e4) = e1| op(e4,e4) = e2| op(e4,e4) = e3| op(e4,e4) = e4 )& op(unit,e0) = e0& op(e0,unit) = e0& op(unit,e1) = e1& op(e1,unit) = e1& op(unit,e2) = e2& op(e2,unit) = e2& op(unit,e3) = e3& op(e3,unit) = e3& op(unit,e4) = e4& op(e4,unit) = e4& ( unit = e0| unit = e1| unit = e2| unit = e3| unit = e4 )& ( op(e0,e0) = e0| op(e0,e1) = e0| op(e0,e2) = e0| op(e0,e3) = e0| op(e0,e4) = e0 )& ( op(e0,e0) = e0| op(e1,e0) = e0| op(e2,e0) = e0| op(e3,e0) = e0| op(e4,e0) = e0 )& ( op(e0,e0) = e1| op(e0,e1) = e1| op(e0,e2) = e1| op(e0,e3) = e1| op(e0,e4) = e1 )& ( op(e0,e0) = e1| op(e1,e0) = e1| op(e2,e0) = e1| op(e3,e0) = e1| op(e4,e0) = e1 )& ( op(e0,e0) = e2| op(e0,e1) = e2| op(e0,e2) = e2| op(e0,e3) = e2| op(e0,e4) = e2 )& ( op(e0,e0) = e2| op(e1,e0) = e2| op(e2,e0) = e2| op(e3,e0) = e2| op(e4,e0) = e2 )& ( op(e0,e0) = e3| op(e0,e1) = e3| op(e0,e2) = e3| op(e0,e3) = e3| op(e0,e4) = e3 )& ( op(e0,e0) = e3| op(e1,e0) = e3| op(e2,e0) = e3| op(e3,e0) = e3| op(e4,e0) = e3 )& ( op(e0,e0) = e4| op(e0,e1) = e4| op(e0,e2) = e4| op(e0,e3) = e4| op(e0,e4) = e4 )& ( op(e0,e0) = e4| op(e1,e0) = e4| op(e2,e0) = e4| op(e3,e0) = e4| op(e4,e0) = e4 )& ( op(e1,e0) = e0| op(e1,e1) = e0| op(e1,e2) = e0| op(e1,e3) = e0| op(e1,e4) = e0 )& ( op(e0,e1) = e0| op(e1,e1) = e0| op(e2,e1) = e0| op(e3,e1) = e0| op(e4,e1) = e0 )& ( op(e1,e0) = e1| op(e1,e1) = e1| op(e1,e2) = e1| op(e1,e3) = e1| op(e1,e4) = e1 )& ( op(e0,e1) = e1| op(e1,e1) = e1| op(e2,e1) = e1| op(e3,e1) = e1| op(e4,e1) = e1 )& ( op(e1,e0) = e2| op(e1,e1) = e2| op(e1,e2) = e2| op(e1,e3) = e2| op(e1,e4) = e2 )& ( op(e0,e1) = e2| op(e1,e1) = e2| op(e2,e1) = e2| op(e3,e1) = e2| op(e4,e1) = e2 )& ( op(e1,e0) = e3| op(e1,e1) = e3| op(e1,e2) = e3| op(e1,e3) = e3| op(e1,e4) = e3 )& ( op(e0,e1) = e3| op(e1,e1) = e3| op(e2,e1) = e3| op(e3,e1) = e3| op(e4,e1) = e3 )& ( op(e1,e0) = e4| op(e1,e1) = e4| op(e1,e2) = e4| op(e1,e3) = e4| op(e1,e4) = e4 )& ( op(e0,e1) = e4| op(e1,e1) = e4| op(e2,e1) = e4| op(e3,e1) = e4| op(e4,e1) = e4 )& ( op(e2,e0) = e0| op(e2,e1) = e0| op(e2,e2) = e0| op(e2,e3) = e0| op(e2,e4) = e0 )& ( op(e0,e2) = e0| op(e1,e2) = e0| op(e2,e2) = e0| op(e3,e2) = e0| op(e4,e2) = e0 )& ( op(e2,e0) = e1| op(e2,e1) = e1| op(e2,e2) = e1| op(e2,e3) = e1| op(e2,e4) = e1 )& ( op(e0,e2) = e1| op(e1,e2) = e1| op(e2,e2) = e1| op(e3,e2) = e1| op(e4,e2) = e1 )& ( op(e2,e0) = e2| op(e2,e1) = e2| op(e2,e2) = e2| op(e2,e3) = e2| op(e2,e4) = e2 )& ( op(e0,e2) = e2| op(e1,e2) = e2| op(e2,e2) = e2| op(e3,e2) = e2| op(e4,e2) = e2 )& ( op(e2,e0) = e3| op(e2,e1) = e3| op(e2,e2) = e3| op(e2,e3) = e3| op(e2,e4) = e3 )& ( op(e0,e2) = e3| op(e1,e2) = e3| op(e2,e2) = e3| op(e3,e2) = e3| op(e4,e2) = e3 )& ( op(e2,e0) = e4| op(e2,e1) = e4| op(e2,e2) = e4| op(e2,e3) = e4| op(e2,e4) = e4 )& ( op(e0,e2) = e4| op(e1,e2) = e4| op(e2,e2) = e4| op(e3,e2) = e4| op(e4,e2) = e4 )& ( op(e3,e0) = e0| op(e3,e1) = e0| op(e3,e2) = e0| op(e3,e3) = e0| op(e3,e4) = e0 )& ( op(e0,e3) = e0| op(e1,e3) = e0| op(e2,e3) = e0| op(e3,e3) = e0| op(e4,e3) = e0 )& ( op(e3,e0) = e1| op(e3,e1) = e1| op(e3,e2) = e1| op(e3,e3) = e1| op(e3,e4) = e1 )& ( op(e0,e3) = e1| op(e1,e3) = e1| op(e2,e3) = e1| op(e3,e3) = e1| op(e4,e3) = e1 )& ( op(e3,e0) = e2| op(e3,e1) = e2| op(e3,e2) = e2| op(e3,e3) = e2| op(e3,e4) = e2 )& ( op(e0,e3) = e2| op(e1,e3) = e2| op(e2,e3) = e2| op(e3,e3) = e2| op(e4,e3) = e2 )& ( op(e3,e0) = e3| op(e3,e1) = e3| op(e3,e2) = e3| op(e3,e3) = e3| op(e3,e4) = e3 )& ( op(e0,e3) = e3| op(e1,e3) = e3| op(e2,e3) = e3| op(e3,e3) = e3| op(e4,e3) = e3 )& ( op(e3,e0) = e4| op(e3,e1) = e4| op(e3,e2) = e4| op(e3,e3) = e4| op(e3,e4) = e4 )& ( op(e0,e3) = e4| op(e1,e3) = e4| op(e2,e3) = e4| op(e3,e3) = e4| op(e4,e3) = e4 )& ( op(e4,e0) = e0| op(e4,e1) = e0| op(e4,e2) = e0| op(e4,e3) = e0| op(e4,e4) = e0 )& ( op(e0,e4) = e0| op(e1,e4) = e0| op(e2,e4) = e0| op(e3,e4) = e0| op(e4,e4) = e0 )& ( op(e4,e0) = e1| op(e4,e1) = e1| op(e4,e2) = e1| op(e4,e3) = e1| op(e4,e4) = e1 )& ( op(e0,e4) = e1| op(e1,e4) = e1| op(e2,e4) = e1| op(e3,e4) = e1| op(e4,e4) = e1 )& ( op(e4,e0) = e2| op(e4,e1) = e2| op(e4,e2) = e2| op(e4,e3) = e2| op(e4,e4) = e2 )& ( op(e0,e4) = e2| op(e1,e4) = e2| op(e2,e4) = e2| op(e3,e4) = e2| op(e4,e4) = e2 )& ( op(e4,e0) = e3| op(e4,e1) = e3| op(e4,e2) = e3| op(e4,e3) = e3| op(e4,e4) = e3 )& ( op(e0,e4) = e3| op(e1,e4) = e3| op(e2,e4) = e3| op(e3,e4) = e3| op(e4,e4) = e3 )& ( op(e4,e0) = e4| op(e4,e1) = e4| op(e4,e2) = e4| op(e4,e3) = e4| op(e4,e4) = e4 )& ( op(e0,e4) = e4| op(e1,e4) = e4| op(e2,e4) = e4| op(e3,e4) = e4| op(e4,e4) = e4 ) ) ),
% 0.22/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.47 fof(f5,negated_conjecture,(
% 0.22/0.47 ~(( ( op(e0,e0) != e0| op(e0,e0) = e0 )& ( op(e0,e0) != e1| op(e0,e1) = e0 )& ( op(e0,e0) != e2| op(e0,e2) = e0 )& ( op(e0,e0) != e3| op(e0,e3) = e0 )& ( op(e0,e0) != e4| op(e0,e4) = e0 )& ( op(e1,e1) != e0| op(e1,e0) = e1 )& ( op(e1,e1) != e1| op(e1,e1) = e1 )& ( op(e1,e1) != e2| op(e1,e2) = e1 )& ( op(e1,e1) != e3| op(e1,e3) = e1 )& ( op(e1,e1) != e4| op(e1,e4) = e1 )& ( op(e2,e2) != e0| op(e2,e0) = e2 )& ( op(e2,e2) != e1| op(e2,e1) = e2 )& ( op(e2,e2) != e2| op(e2,e2) = e2 )& ( op(e2,e2) != e3| op(e2,e3) = e2 )& ( op(e2,e2) != e4| op(e2,e4) = e2 )& ( op(e3,e3) != e0| op(e3,e0) = e3 )& ( op(e3,e3) != e1| op(e3,e1) = e3 )& ( op(e3,e3) != e2| op(e3,e2) = e3 )& ( op(e3,e3) != e3| op(e3,e3) = e3 )& ( op(e3,e3) != e4| op(e3,e4) = e3 )& ( op(e4,e4) != e0| op(e4,e0) = e4 )& ( op(e4,e4) != e1| op(e4,e1) = e4 )& ( op(e4,e4) != e2| op(e4,e2) = e4 )& ( op(e4,e4) != e3| op(e4,e3) = e4 )& ( op(e4,e4) != e4| op(e4,e4) = e4 )& ( op(e0,e0) = e0| op(e0,e0) = e1| op(e0,e0) = e2| op(e0,e0) = e3| op(e0,e0) = e4 )& ( op(e0,e1) = e0| op(e0,e1) = e1| op(e0,e1) = e2| op(e0,e1) = e3| op(e0,e1) = e4 )& ( op(e0,e2) = e0| op(e0,e2) = e1| op(e0,e2) = e2| op(e0,e2) = e3| op(e0,e2) = e4 )& ( op(e0,e3) = e0| op(e0,e3) = e1| op(e0,e3) = e2| op(e0,e3) = e3| op(e0,e3) = e4 )& ( op(e0,e4) = e0| op(e0,e4) = e1| op(e0,e4) = e2| op(e0,e4) = e3| op(e0,e4) = e4 )& ( op(e1,e0) = e0| op(e1,e0) = e1| op(e1,e0) = e2| op(e1,e0) = e3| op(e1,e0) = e4 )& ( op(e1,e1) = e0| op(e1,e1) = e1| op(e1,e1) = e2| op(e1,e1) = e3| op(e1,e1) = e4 )& ( op(e1,e2) = e0| op(e1,e2) = e1| op(e1,e2) = e2| op(e1,e2) = e3| op(e1,e2) = e4 )& ( op(e1,e3) = e0| op(e1,e3) = e1| op(e1,e3) = e2| op(e1,e3) = e3| op(e1,e3) = e4 )& ( op(e1,e4) = e0| op(e1,e4) = e1| op(e1,e4) = e2| op(e1,e4) = e3| op(e1,e4) = e4 )& ( op(e2,e0) = e0| op(e2,e0) = e1| op(e2,e0) = e2| op(e2,e0) = e3| op(e2,e0) = e4 )& ( op(e2,e1) = e0| op(e2,e1) = e1| op(e2,e1) = e2| op(e2,e1) = e3| op(e2,e1) = e4 )& ( op(e2,e2) = e0| op(e2,e2) = e1| op(e2,e2) = e2| op(e2,e2) = e3| op(e2,e2) = e4 )& ( op(e2,e3) = e0| op(e2,e3) = e1| op(e2,e3) = e2| op(e2,e3) = e3| op(e2,e3) = e4 )& ( op(e2,e4) = e0| op(e2,e4) = e1| op(e2,e4) = e2| op(e2,e4) = e3| op(e2,e4) = e4 )& ( op(e3,e0) = e0| op(e3,e0) = e1| op(e3,e0) = e2| op(e3,e0) = e3| op(e3,e0) = e4 )& ( op(e3,e1) = e0| op(e3,e1) = e1| op(e3,e1) = e2| op(e3,e1) = e3| op(e3,e1) = e4 )& ( op(e3,e2) = e0| op(e3,e2) = e1| op(e3,e2) = e2| op(e3,e2) = e3| op(e3,e2) = e4 )& ( op(e3,e3) = e0| op(e3,e3) = e1| op(e3,e3) = e2| op(e3,e3) = e3| op(e3,e3) = e4 )& ( op(e3,e4) = e0| op(e3,e4) = e1| op(e3,e4) = e2| op(e3,e4) = e3| op(e3,e4) = e4 )& ( op(e4,e0) = e0| op(e4,e0) = e1| op(e4,e0) = e2| op(e4,e0) = e3| op(e4,e0) = e4 )& ( op(e4,e1) = e0| op(e4,e1) = e1| op(e4,e1) = e2| op(e4,e1) = e3| op(e4,e1) = e4 )& ( op(e4,e2) = e0| op(e4,e2) = e1| op(e4,e2) = e2| op(e4,e2) = e3| op(e4,e2) = e4 )& ( op(e4,e3) = e0| op(e4,e3) = e1| op(e4,e3) = e2| op(e4,e3) = e3| op(e4,e3) = e4 )& ( op(e4,e4) = e0| op(e4,e4) = e1| op(e4,e4) = e2| op(e4,e4) = e3| op(e4,e4) = e4 )& op(unit,e0) = e0& op(e0,unit) = e0& op(unit,e1) = e1& op(e1,unit) = e1& op(unit,e2) = e2& op(e2,unit) = e2& op(unit,e3) = e3& op(e3,unit) = e3& op(unit,e4) = e4& op(e4,unit) = e4& ( unit = e0| unit = e1| unit = e2| unit = e3| unit = e4 )& ( op(e0,e0) = e0| op(e0,e1) = e0| op(e0,e2) = e0| op(e0,e3) = e0| op(e0,e4) = e0 )& ( op(e0,e0) = e0| op(e1,e0) = e0| op(e2,e0) = e0| op(e3,e0) = e0| op(e4,e0) = e0 )& ( op(e0,e0) = e1| op(e0,e1) = e1| op(e0,e2) = e1| op(e0,e3) = e1| op(e0,e4) = e1 )& ( op(e0,e0) = e1| op(e1,e0) = e1| op(e2,e0) = e1| op(e3,e0) = e1| op(e4,e0) = e1 )& ( op(e0,e0) = e2| op(e0,e1) = e2| op(e0,e2) = e2| op(e0,e3) = e2| op(e0,e4) = e2 )& ( op(e0,e0) = e2| op(e1,e0) = e2| op(e2,e0) = e2| op(e3,e0) = e2| op(e4,e0) = e2 )& ( op(e0,e0) = e3| op(e0,e1) = e3| op(e0,e2) = e3| op(e0,e3) = e3| op(e0,e4) = e3 )& ( op(e0,e0) = e3| op(e1,e0) = e3| op(e2,e0) = e3| op(e3,e0) = e3| op(e4,e0) = e3 )& ( op(e0,e0) = e4| op(e0,e1) = e4| op(e0,e2) = e4| op(e0,e3) = e4| op(e0,e4) = e4 )& ( op(e0,e0) = e4| op(e1,e0) = e4| op(e2,e0) = e4| op(e3,e0) = e4| op(e4,e0) = e4 )& ( op(e1,e0) = e0| op(e1,e1) = e0| op(e1,e2) = e0| op(e1,e3) = e0| op(e1,e4) = e0 )& ( op(e0,e1) = e0| op(e1,e1) = e0| op(e2,e1) = e0| op(e3,e1) = e0| op(e4,e1) = e0 )& ( op(e1,e0) = e1| op(e1,e1) = e1| op(e1,e2) = e1| op(e1,e3) = e1| op(e1,e4) = e1 )& ( op(e0,e1) = e1| op(e1,e1) = e1| op(e2,e1) = e1| op(e3,e1) = e1| op(e4,e1) = e1 )& ( op(e1,e0) = e2| op(e1,e1) = e2| op(e1,e2) = e2| op(e1,e3) = e2| op(e1,e4) = e2 )& ( op(e0,e1) = e2| op(e1,e1) = e2| op(e2,e1) = e2| op(e3,e1) = e2| op(e4,e1) = e2 )& ( op(e1,e0) = e3| op(e1,e1) = e3| op(e1,e2) = e3| op(e1,e3) = e3| op(e1,e4) = e3 )& ( op(e0,e1) = e3| op(e1,e1) = e3| op(e2,e1) = e3| op(e3,e1) = e3| op(e4,e1) = e3 )& ( op(e1,e0) = e4| op(e1,e1) = e4| op(e1,e2) = e4| op(e1,e3) = e4| op(e1,e4) = e4 )& ( op(e0,e1) = e4| op(e1,e1) = e4| op(e2,e1) = e4| op(e3,e1) = e4| op(e4,e1) = e4 )& ( op(e2,e0) = e0| op(e2,e1) = e0| op(e2,e2) = e0| op(e2,e3) = e0| op(e2,e4) = e0 )& ( op(e0,e2) = e0| op(e1,e2) = e0| op(e2,e2) = e0| op(e3,e2) = e0| op(e4,e2) = e0 )& ( op(e2,e0) = e1| op(e2,e1) = e1| op(e2,e2) = e1| op(e2,e3) = e1| op(e2,e4) = e1 )& ( op(e0,e2) = e1| op(e1,e2) = e1| op(e2,e2) = e1| op(e3,e2) = e1| op(e4,e2) = e1 )& ( op(e2,e0) = e2| op(e2,e1) = e2| op(e2,e2) = e2| op(e2,e3) = e2| op(e2,e4) = e2 )& ( op(e0,e2) = e2| op(e1,e2) = e2| op(e2,e2) = e2| op(e3,e2) = e2| op(e4,e2) = e2 )& ( op(e2,e0) = e3| op(e2,e1) = e3| op(e2,e2) = e3| op(e2,e3) = e3| op(e2,e4) = e3 )& ( op(e0,e2) = e3| op(e1,e2) = e3| op(e2,e2) = e3| op(e3,e2) = e3| op(e4,e2) = e3 )& ( op(e2,e0) = e4| op(e2,e1) = e4| op(e2,e2) = e4| op(e2,e3) = e4| op(e2,e4) = e4 )& ( op(e0,e2) = e4| op(e1,e2) = e4| op(e2,e2) = e4| op(e3,e2) = e4| op(e4,e2) = e4 )& ( op(e3,e0) = e0| op(e3,e1) = e0| op(e3,e2) = e0| op(e3,e3) = e0| op(e3,e4) = e0 )& ( op(e0,e3) = e0| op(e1,e3) = e0| op(e2,e3) = e0| op(e3,e3) = e0| op(e4,e3) = e0 )& ( op(e3,e0) = e1| op(e3,e1) = e1| op(e3,e2) = e1| op(e3,e3) = e1| op(e3,e4) = e1 )& ( op(e0,e3) = e1| op(e1,e3) = e1| op(e2,e3) = e1| op(e3,e3) = e1| op(e4,e3) = e1 )& ( op(e3,e0) = e2| op(e3,e1) = e2| op(e3,e2) = e2| op(e3,e3) = e2| op(e3,e4) = e2 )& ( op(e0,e3) = e2| op(e1,e3) = e2| op(e2,e3) = e2| op(e3,e3) = e2| op(e4,e3) = e2 )& ( op(e3,e0) = e3| op(e3,e1) = e3| op(e3,e2) = e3| op(e3,e3) = e3| op(e3,e4) = e3 )& ( op(e0,e3) = e3| op(e1,e3) = e3| op(e2,e3) = e3| op(e3,e3) = e3| op(e4,e3) = e3 )& ( op(e3,e0) = e4| op(e3,e1) = e4| op(e3,e2) = e4| op(e3,e3) = e4| op(e3,e4) = e4 )& ( op(e0,e3) = e4| op(e1,e3) = e4| op(e2,e3) = e4| op(e3,e3) = e4| op(e4,e3) = e4 )& ( op(e4,e0) = e0| op(e4,e1) = e0| op(e4,e2) = e0| op(e4,e3) = e0| op(e4,e4) = e0 )& ( op(e0,e4) = e0| op(e1,e4) = e0| op(e2,e4) = e0| op(e3,e4) = e0| op(e4,e4) = e0 )& ( op(e4,e0) = e1| op(e4,e1) = e1| op(e4,e2) = e1| op(e4,e3) = e1| op(e4,e4) = e1 )& ( op(e0,e4) = e1| op(e1,e4) = e1| op(e2,e4) = e1| op(e3,e4) = e1| op(e4,e4) = e1 )& ( op(e4,e0) = e2| op(e4,e1) = e2| op(e4,e2) = e2| op(e4,e3) = e2| op(e4,e4) = e2 )& ( op(e0,e4) = e2| op(e1,e4) = e2| op(e2,e4) = e2| op(e3,e4) = e2| op(e4,e4) = e2 )& ( op(e4,e0) = e3| op(e4,e1) = e3| op(e4,e2) = e3| op(e4,e3) = e3| op(e4,e4) = e3 )& ( op(e0,e4) = e3| op(e1,e4) = e3| op(e2,e4) = e3| op(e3,e4) = e3| op(e4,e4) = e3 )& ( op(e4,e0) = e4| op(e4,e1) = e4| op(e4,e2) = e4| op(e4,e3) = e4| op(e4,e4) = e4 )& ( op(e0,e4) = e4| op(e1,e4) = e4| op(e2,e4) = e4| op(e3,e4) = e4| op(e4,e4) = e4 ) ) )),
% 0.22/0.47 inference(negated_conjecture,[status(cth)],[f4])).
% 0.22/0.47 fof(f6,plain,(
% 0.22/0.47 ~e0=e1),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.22/0.47 fof(f7,plain,(
% 0.22/0.47 ~e0=e2),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.22/0.47 fof(f8,plain,(
% 0.22/0.47 ~e0=e3),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.22/0.47 fof(f9,plain,(
% 0.22/0.47 ~e0=e4),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.22/0.47 fof(f16,plain,(
% 0.22/0.47 op(e0,e0)=e0),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f17,plain,(
% 0.22/0.47 op(e0,e1)=e1),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f18,plain,(
% 0.22/0.47 op(e0,e2)=e2),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f19,plain,(
% 0.22/0.47 op(e0,e3)=e3),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f20,plain,(
% 0.22/0.47 op(e0,e4)=e4),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f21,plain,(
% 0.22/0.47 op(e1,e0)=e1),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f22,plain,(
% 0.22/0.47 op(e1,e1)=e0),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f23,plain,(
% 0.22/0.47 op(e1,e2)=e3),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f24,plain,(
% 0.22/0.47 op(e1,e3)=e4),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f25,plain,(
% 0.22/0.47 op(e1,e4)=e2),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f26,plain,(
% 0.22/0.47 op(e2,e0)=e2),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f27,plain,(
% 0.22/0.47 op(e2,e1)=e4),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f28,plain,(
% 0.22/0.47 op(e2,e2)=e0),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f29,plain,(
% 0.22/0.47 op(e2,e3)=e1),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f30,plain,(
% 0.22/0.47 op(e2,e4)=e3),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f31,plain,(
% 0.22/0.47 op(e3,e0)=e3),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f32,plain,(
% 0.22/0.47 op(e3,e1)=e2),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f33,plain,(
% 0.22/0.47 op(e3,e2)=e4),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f34,plain,(
% 0.22/0.47 op(e3,e3)=e0),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f35,plain,(
% 0.22/0.47 op(e3,e4)=e1),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f36,plain,(
% 0.22/0.47 op(e4,e0)=e4),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f37,plain,(
% 0.22/0.47 op(e4,e1)=e3),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f38,plain,(
% 0.22/0.47 op(e4,e2)=e1),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f39,plain,(
% 0.22/0.47 op(e4,e3)=e2),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f40,plain,(
% 0.22/0.47 op(e4,e4)=e0),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f41,plain,(
% 0.22/0.47 unit=e0),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f3])).
% 0.22/0.47 fof(f42,plain,(
% 0.22/0.47 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2))|((((~op(e4,e0)=e3&~op(e4,e1)=e3)&~op(e4,e2)=e3)&~op(e4,e3)=e3)&~op(e4,e4)=e3))|((((~op(e0,e4)=e3&~op(e1,e4)=e3)&~op(e2,e4)=e3)&~op(e3,e4)=e3)&~op(e4,e4)=e3))|((((~op(e4,e0)=e4&~op(e4,e1)=e4)&~op(e4,e2)=e4)&~op(e4,e3)=e4)&~op(e4,e4)=e4))|((((~op(e0,e4)=e4&~op(e1,e4)=e4)&~op(e2,e4)=e4)&~op(e3,e4)=e4)&~op(e4,e4)=e4))),
% 0.22/0.47 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.22/0.47 fof(f43,definition,(
% 0.22/0.47 sP0_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2))|((((~op(e4,e0)=e3&~op(e4,e1)=e3)&~op(e4,e2)=e3)&~op(e4,e3)=e3)&~op(e4,e4)=e3))|((((~op(e0,e4)=e3&~op(e1,e4)=e3)&~op(e2,e4)=e3)&~op(e3,e4)=e3)&~op(e4,e4)=e3))|((((~op(e4,e0)=e4&~op(e4,e1)=e4)&~op(e4,e2)=e4)&~op(e4,e3)=e4)&~op(e4,e4)=e4))),
% 0.22/0.47 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.22/0.47 fof(f44,plain,(
% 0.22/0.47 sP0_prd|((((~op(e0,e4)=e4&~op(e1,e4)=e4)&~op(e2,e4)=e4)&~op(e3,e4)=e4)&~op(e4,e4)=e4)),
% 0.22/0.47 inference(formula_renaming,[status(thm)],[f42,f43])).
% 0.22/0.47 fof(f45,plain,(
% 0.22/0.47 sP0_prd|~op(e0,e4)=e4),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f44])).
% 0.22/0.47 fof(f50,definition,(
% 0.22/0.47 sP1_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2))|((((~op(e4,e0)=e3&~op(e4,e1)=e3)&~op(e4,e2)=e3)&~op(e4,e3)=e3)&~op(e4,e4)=e3))|((((~op(e0,e4)=e3&~op(e1,e4)=e3)&~op(e2,e4)=e3)&~op(e3,e4)=e3)&~op(e4,e4)=e3))),
% 0.22/0.47 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.22/0.47 fof(f51,plain,(
% 0.22/0.47 sP0_prd<=>(sP1_prd|((((~op(e4,e0)=e4&~op(e4,e1)=e4)&~op(e4,e2)=e4)&~op(e4,e3)=e4)&~op(e4,e4)=e4))),
% 0.22/0.47 inference(formula_renaming,[status(thm)],[f43,f50])).
% 0.22/0.47 fof(f52,plain,(
% 0.22/0.47 (~sP0_prd|(sP1_prd|((((~op(e4,e0)=e4&~op(e4,e1)=e4)&~op(e4,e2)=e4)&~op(e4,e3)=e4)&~op(e4,e4)=e4)))&(sP0_prd|(~sP1_prd&((((op(e4,e0)=e4|op(e4,e1)=e4)|op(e4,e2)=e4)|op(e4,e3)=e4)|op(e4,e4)=e4)))),
% 0.22/0.47 inference(NNF_transformation,[status(thm)],[f51])).
% 0.22/0.47 fof(f53,plain,(
% 0.22/0.47 ~sP0_prd|sP1_prd|~op(e4,e0)=e4),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f52])).
% 0.22/0.47 fof(f60,definition,(
% 0.22/0.47 sP2_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2))|((((~op(e4,e0)=e3&~op(e4,e1)=e3)&~op(e4,e2)=e3)&~op(e4,e3)=e3)&~op(e4,e4)=e3))),
% 0.22/0.47 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.22/0.47 fof(f61,plain,(
% 0.22/0.47 sP1_prd<=>(sP2_prd|((((~op(e0,e4)=e3&~op(e1,e4)=e3)&~op(e2,e4)=e3)&~op(e3,e4)=e3)&~op(e4,e4)=e3))),
% 0.22/0.47 inference(formula_renaming,[status(thm)],[f50,f60])).
% 0.22/0.47 fof(f62,plain,(
% 0.22/0.47 (~sP1_prd|(sP2_prd|((((~op(e0,e4)=e3&~op(e1,e4)=e3)&~op(e2,e4)=e3)&~op(e3,e4)=e3)&~op(e4,e4)=e3)))&(sP1_prd|(~sP2_prd&((((op(e0,e4)=e3|op(e1,e4)=e3)|op(e2,e4)=e3)|op(e3,e4)=e3)|op(e4,e4)=e3)))),
% 0.22/0.47 inference(NNF_transformation,[status(thm)],[f61])).
% 0.22/0.47 fof(f65,plain,(
% 0.22/0.47 ~sP1_prd|sP2_prd|~op(e2,e4)=e3),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f62])).
% 0.22/0.47 fof(f70,definition,(
% 0.22/0.47 sP3_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2))),
% 0.22/0.47 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.22/0.47 fof(f71,plain,(
% 0.22/0.47 sP2_prd<=>(sP3_prd|((((~op(e4,e0)=e3&~op(e4,e1)=e3)&~op(e4,e2)=e3)&~op(e4,e3)=e3)&~op(e4,e4)=e3))),
% 0.22/0.47 inference(formula_renaming,[status(thm)],[f60,f70])).
% 0.22/0.47 fof(f72,plain,(
% 0.22/0.47 (~sP2_prd|(sP3_prd|((((~op(e4,e0)=e3&~op(e4,e1)=e3)&~op(e4,e2)=e3)&~op(e4,e3)=e3)&~op(e4,e4)=e3)))&(sP2_prd|(~sP3_prd&((((op(e4,e0)=e3|op(e4,e1)=e3)|op(e4,e2)=e3)|op(e4,e3)=e3)|op(e4,e4)=e3)))),
% 0.22/0.47 inference(NNF_transformation,[status(thm)],[f71])).
% 0.22/0.47 fof(f74,plain,(
% 0.22/0.47 ~sP2_prd|sP3_prd|~op(e4,e1)=e3),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f72])).
% 0.22/0.47 fof(f80,definition,(
% 0.22/0.47 sP4_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))),
% 0.22/0.47 introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 0.22/0.47 fof(f81,plain,(
% 0.22/0.47 sP3_prd<=>(sP4_prd|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2))),
% 0.22/0.47 inference(formula_renaming,[status(thm)],[f70,f80])).
% 0.22/0.47 fof(f82,plain,(
% 0.22/0.47 (~sP3_prd|(sP4_prd|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2)))&(sP3_prd|(~sP4_prd&((((op(e0,e4)=e2|op(e1,e4)=e2)|op(e2,e4)=e2)|op(e3,e4)=e2)|op(e4,e4)=e2)))),
% 0.22/0.47 inference(NNF_transformation,[status(thm)],[f81])).
% 0.22/0.47 fof(f84,plain,(
% 0.22/0.47 ~sP3_prd|sP4_prd|~op(e1,e4)=e2),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f82])).
% 0.22/0.47 fof(f90,definition,(
% 0.22/0.47 sP5_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 0.22/0.48 fof(f91,plain,(
% 0.22/0.48 sP4_prd<=>(sP5_prd|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f80,f90])).
% 0.22/0.48 fof(f92,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f91])).
% 0.22/0.48 fof(f96,plain,(
% 0.22/0.48 ~sP4_prd|sP5_prd|~op(e4,e3)=e2),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f92])).
% 0.22/0.48 fof(f100,definition,(
% 0.22/0.48 sP6_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP6_prd])],[])).
% 0.22/0.48 fof(f101,plain,(
% 0.22/0.48 sP5_prd<=>(sP6_prd|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f90,f100])).
% 0.22/0.48 fof(f102,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f101])).
% 0.22/0.48 fof(f106,plain,(
% 0.22/0.48 ~sP5_prd|sP6_prd|~op(e3,e4)=e1),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f102])).
% 0.22/0.48 fof(f110,definition,(
% 0.22/0.48 sP7_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 0.22/0.48 fof(f111,plain,(
% 0.22/0.48 sP6_prd<=>(sP7_prd|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f100,f110])).
% 0.22/0.48 fof(f112,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f111])).
% 0.22/0.48 fof(f115,plain,(
% 0.22/0.48 ~sP6_prd|sP7_prd|~op(e4,e2)=e1),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f112])).
% 0.22/0.48 fof(f120,definition,(
% 0.22/0.48 sP8_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP8_prd])],[])).
% 0.22/0.48 fof(f121,plain,(
% 0.22/0.48 sP7_prd<=>(sP8_prd|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f110,f120])).
% 0.22/0.48 fof(f122,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f121])).
% 0.22/0.48 fof(f127,plain,(
% 0.22/0.48 ~sP7_prd|sP8_prd|~op(e4,e4)=e0),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f122])).
% 0.22/0.48 fof(f130,definition,(
% 0.22/0.48 sP9_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 0.22/0.48 fof(f131,plain,(
% 0.22/0.48 sP8_prd<=>(sP9_prd|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f120,f130])).
% 0.22/0.48 fof(f132,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f131])).
% 0.22/0.48 fof(f137,plain,(
% 0.22/0.48 ~sP8_prd|sP9_prd|~op(e4,e4)=e0),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f132])).
% 0.22/0.48 fof(f140,definition,(
% 0.22/0.48 sP10_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP10_prd])],[])).
% 0.22/0.48 fof(f141,plain,(
% 0.22/0.48 sP9_prd<=>(sP10_prd|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f130,f140])).
% 0.22/0.48 fof(f142,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f141])).
% 0.22/0.48 fof(f144,plain,(
% 0.22/0.48 ~sP9_prd|sP10_prd|~op(e1,e3)=e4),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f142])).
% 0.22/0.48 fof(f150,definition,(
% 0.22/0.48 sP11_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP11_prd])],[])).
% 0.22/0.48 fof(f151,plain,(
% 0.22/0.48 sP10_prd<=>(sP11_prd|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f140,f150])).
% 0.22/0.48 fof(f152,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f151])).
% 0.22/0.48 fof(f155,plain,(
% 0.22/0.48 ~sP10_prd|sP11_prd|~op(e3,e2)=e4),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f152])).
% 0.22/0.48 fof(f160,definition,(
% 0.22/0.48 sP12_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP12_prd])],[])).
% 0.22/0.48 fof(f161,plain,(
% 0.22/0.48 sP11_prd<=>(sP12_prd|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f150,f160])).
% 0.22/0.48 fof(f162,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f161])).
% 0.22/0.48 fof(f163,plain,(
% 0.22/0.48 ~sP11_prd|sP12_prd|~op(e0,e3)=e3),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f162])).
% 0.22/0.48 fof(f170,definition,(
% 0.22/0.48 sP13_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP13_prd])],[])).
% 0.22/0.48 fof(f171,plain,(
% 0.22/0.48 sP12_prd<=>(sP13_prd|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f160,f170])).
% 0.22/0.48 fof(f172,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f171])).
% 0.22/0.48 fof(f173,plain,(
% 0.22/0.48 ~sP12_prd|sP13_prd|~op(e3,e0)=e3),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f172])).
% 0.22/0.48 fof(f180,definition,(
% 0.22/0.48 sP14_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP14_prd])],[])).
% 0.22/0.48 fof(f181,plain,(
% 0.22/0.48 sP13_prd<=>(sP14_prd|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f170,f180])).
% 0.22/0.48 fof(f182,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f181])).
% 0.22/0.48 fof(f187,plain,(
% 0.22/0.48 ~sP13_prd|sP14_prd|~op(e4,e3)=e2),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f182])).
% 0.22/0.48 fof(f190,definition,(
% 0.22/0.48 sP15_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP15_prd])],[])).
% 0.22/0.48 fof(f191,plain,(
% 0.22/0.48 sP14_prd<=>(sP15_prd|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f180,f190])).
% 0.22/0.48 fof(f192,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f191])).
% 0.22/0.48 fof(f194,plain,(
% 0.22/0.48 ~sP14_prd|sP15_prd|~op(e3,e1)=e2),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f192])).
% 0.22/0.48 fof(f200,definition,(
% 0.22/0.48 sP16_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP16_prd])],[])).
% 0.22/0.48 fof(f201,plain,(
% 0.22/0.48 sP15_prd<=>(sP16_prd|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f190,f200])).
% 0.22/0.48 fof(f202,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f201])).
% 0.22/0.48 fof(f205,plain,(
% 0.22/0.48 ~sP15_prd|sP16_prd|~op(e2,e3)=e1),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f202])).
% 0.22/0.48 fof(f210,definition,(
% 0.22/0.48 sP17_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP17_prd])],[])).
% 0.22/0.48 fof(f211,plain,(
% 0.22/0.48 sP16_prd<=>(sP17_prd|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f200,f210])).
% 0.22/0.48 fof(f212,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f211])).
% 0.22/0.48 fof(f217,plain,(
% 0.22/0.48 ~sP16_prd|sP17_prd|~op(e3,e4)=e1),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f212])).
% 0.22/0.48 fof(f220,definition,(
% 0.22/0.48 sP18_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP18_prd])],[])).
% 0.22/0.48 fof(f221,plain,(
% 0.22/0.48 sP17_prd<=>(sP18_prd|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f210,f220])).
% 0.22/0.48 fof(f222,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f221])).
% 0.22/0.48 fof(f226,plain,(
% 0.22/0.48 ~sP17_prd|sP18_prd|~op(e3,e3)=e0),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f222])).
% 0.22/0.48 fof(f230,definition,(
% 0.22/0.48 sP19_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP19_prd])],[])).
% 0.22/0.48 fof(f231,plain,(
% 0.22/0.48 sP18_prd<=>(sP19_prd|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f220,f230])).
% 0.22/0.48 fof(f232,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f231])).
% 0.22/0.48 fof(f236,plain,(
% 0.22/0.48 ~sP18_prd|sP19_prd|~op(e3,e3)=e0),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f232])).
% 0.22/0.48 fof(f240,definition,(
% 0.22/0.48 sP20_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP20_prd])],[])).
% 0.22/0.48 fof(f241,plain,(
% 0.22/0.48 sP19_prd<=>(sP20_prd|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f230,f240])).
% 0.22/0.48 fof(f242,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f241])).
% 0.22/0.48 fof(f246,plain,(
% 0.22/0.48 ~sP19_prd|sP20_prd|~op(e3,e2)=e4),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f242])).
% 0.22/0.48 fof(f250,definition,(
% 0.22/0.48 sP21_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP21_prd])],[])).
% 0.22/0.48 fof(f251,plain,(
% 0.22/0.48 sP20_prd<=>(sP21_prd|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f240,f250])).
% 0.22/0.48 fof(f252,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f251])).
% 0.22/0.48 fof(f254,plain,(
% 0.22/0.48 ~sP20_prd|sP21_prd|~op(e2,e1)=e4),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f252])).
% 0.22/0.48 fof(f260,definition,(
% 0.22/0.48 sP22_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP22_prd])],[])).
% 0.22/0.48 fof(f261,plain,(
% 0.22/0.48 sP21_prd<=>(sP22_prd|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f250,f260])).
% 0.22/0.48 fof(f262,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f261])).
% 0.22/0.48 fof(f264,plain,(
% 0.22/0.48 ~sP21_prd|sP22_prd|~op(e1,e2)=e3),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f262])).
% 0.22/0.48 fof(f270,definition,(
% 0.22/0.48 sP23_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP23_prd])],[])).
% 0.22/0.48 fof(f271,plain,(
% 0.22/0.48 sP22_prd<=>(sP23_prd|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f260,f270])).
% 0.22/0.48 fof(f272,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f271])).
% 0.22/0.48 fof(f277,plain,(
% 0.22/0.48 ~sP22_prd|sP23_prd|~op(e2,e4)=e3),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f272])).
% 0.22/0.48 fof(f280,definition,(
% 0.22/0.48 sP24_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP24_prd])],[])).
% 0.22/0.48 fof(f281,plain,(
% 0.22/0.48 sP23_prd<=>(sP24_prd|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f270,f280])).
% 0.22/0.48 fof(f282,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f281])).
% 0.22/0.48 fof(f283,plain,(
% 0.22/0.48 ~sP23_prd|sP24_prd|~op(e0,e2)=e2),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f282])).
% 0.22/0.48 fof(f290,definition,(
% 0.22/0.48 sP25_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP25_prd])],[])).
% 0.22/0.48 fof(f291,plain,(
% 0.22/0.48 sP24_prd<=>(sP25_prd|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f280,f290])).
% 0.22/0.48 fof(f292,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f291])).
% 0.22/0.48 fof(f293,plain,(
% 0.22/0.48 ~sP24_prd|sP25_prd|~op(e2,e0)=e2),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f292])).
% 0.22/0.48 fof(f300,definition,(
% 0.22/0.48 sP26_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP26_prd])],[])).
% 0.22/0.48 fof(f301,plain,(
% 0.22/0.48 sP25_prd<=>(sP26_prd|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f290,f300])).
% 0.22/0.48 fof(f302,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f301])).
% 0.22/0.48 fof(f307,plain,(
% 0.22/0.48 ~sP25_prd|sP26_prd|~op(e4,e2)=e1),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f302])).
% 0.22/0.48 fof(f310,definition,(
% 0.22/0.48 sP27_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP27_prd])],[])).
% 0.22/0.48 fof(f311,plain,(
% 0.22/0.48 sP26_prd<=>(sP27_prd|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f300,f310])).
% 0.22/0.48 fof(f312,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f311])).
% 0.22/0.48 fof(f316,plain,(
% 0.22/0.48 ~sP26_prd|sP27_prd|~op(e2,e3)=e1),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f312])).
% 0.22/0.48 fof(f320,definition,(
% 0.22/0.48 sP28_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP28_prd])],[])).
% 0.22/0.48 fof(f321,plain,(
% 0.22/0.48 sP27_prd<=>(sP28_prd|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f310,f320])).
% 0.22/0.48 fof(f322,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f321])).
% 0.22/0.48 fof(f325,plain,(
% 0.22/0.48 ~sP27_prd|sP28_prd|~op(e2,e2)=e0),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f322])).
% 0.22/0.48 fof(f330,definition,(
% 0.22/0.48 sP29_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP29_prd])],[])).
% 0.22/0.48 fof(f331,plain,(
% 0.22/0.48 sP28_prd<=>(sP29_prd|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f320,f330])).
% 0.22/0.48 fof(f332,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f331])).
% 0.22/0.48 fof(f335,plain,(
% 0.22/0.48 ~sP28_prd|sP29_prd|~op(e2,e2)=e0),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f332])).
% 0.22/0.48 fof(f340,definition,(
% 0.22/0.48 sP30_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP30_prd])],[])).
% 0.22/0.48 fof(f341,plain,(
% 0.22/0.48 sP29_prd<=>(sP30_prd|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f330,f340])).
% 0.22/0.48 fof(f342,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f341])).
% 0.22/0.48 fof(f345,plain,(
% 0.22/0.48 ~sP29_prd|sP30_prd|~op(e2,e1)=e4),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f342])).
% 0.22/0.48 fof(f350,definition,(
% 0.22/0.48 sP31_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP31_prd])],[])).
% 0.22/0.48 fof(f351,plain,(
% 0.22/0.48 sP30_prd<=>(sP31_prd|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f340,f350])).
% 0.22/0.48 fof(f352,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f351])).
% 0.22/0.48 fof(f356,plain,(
% 0.22/0.48 ~sP30_prd|sP31_prd|~op(e1,e3)=e4),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f352])).
% 0.22/0.48 fof(f360,definition,(
% 0.22/0.48 sP32_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP32_prd])],[])).
% 0.22/0.48 fof(f361,plain,(
% 0.22/0.48 sP31_prd<=>(sP32_prd|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f350,f360])).
% 0.22/0.48 fof(f362,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f361])).
% 0.22/0.48 fof(f367,plain,(
% 0.22/0.48 ~sP31_prd|sP32_prd|~op(e4,e1)=e3),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f362])).
% 0.22/0.48 fof(f370,definition,(
% 0.22/0.48 sP33_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP33_prd])],[])).
% 0.22/0.48 fof(f371,plain,(
% 0.22/0.48 sP32_prd<=>(sP33_prd|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f360,f370])).
% 0.22/0.48 fof(f372,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f371])).
% 0.22/0.48 fof(f375,plain,(
% 0.22/0.48 ~sP32_prd|sP33_prd|~op(e1,e2)=e3),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f372])).
% 0.22/0.48 fof(f380,definition,(
% 0.22/0.48 sP34_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP34_prd])],[])).
% 0.22/0.48 fof(f381,plain,(
% 0.22/0.48 sP33_prd<=>(sP34_prd|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f370,f380])).
% 0.22/0.48 fof(f382,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f381])).
% 0.22/0.48 fof(f386,plain,(
% 0.22/0.48 ~sP33_prd|sP34_prd|~op(e3,e1)=e2),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f382])).
% 0.22/0.48 fof(f390,definition,(
% 0.22/0.48 sP35_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP35_prd])],[])).
% 0.22/0.48 fof(f391,plain,(
% 0.22/0.48 sP34_prd<=>(sP35_prd|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f380,f390])).
% 0.22/0.48 fof(f392,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f391])).
% 0.22/0.48 fof(f397,plain,(
% 0.22/0.48 ~sP34_prd|sP35_prd|~op(e1,e4)=e2),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f392])).
% 0.22/0.48 fof(f400,definition,(
% 0.22/0.48 sP36_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP36_prd])],[])).
% 0.22/0.48 fof(f401,plain,(
% 0.22/0.48 sP35_prd<=>(sP36_prd|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f390,f400])).
% 0.22/0.48 fof(f402,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f401])).
% 0.22/0.48 fof(f403,plain,(
% 0.22/0.48 ~sP35_prd|sP36_prd|~op(e0,e1)=e1),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f402])).
% 0.22/0.48 fof(f410,definition,(
% 0.22/0.48 sP37_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP37_prd])],[])).
% 0.22/0.48 fof(f411,plain,(
% 0.22/0.48 sP36_prd<=>(sP37_prd|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f400,f410])).
% 0.22/0.48 fof(f412,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f411])).
% 0.22/0.48 fof(f413,plain,(
% 0.22/0.48 ~sP36_prd|sP37_prd|~op(e1,e0)=e1),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f412])).
% 0.22/0.48 fof(f420,definition,(
% 0.22/0.48 sP38_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP38_prd])],[])).
% 0.22/0.48 fof(f421,plain,(
% 0.22/0.48 sP37_prd<=>(sP38_prd|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f410,f420])).
% 0.22/0.48 fof(f422,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f421])).
% 0.22/0.48 fof(f424,plain,(
% 0.22/0.48 ~sP37_prd|sP38_prd|~op(e1,e1)=e0),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f422])).
% 0.22/0.48 fof(f430,definition,(
% 0.22/0.48 sP39_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP39_prd])],[])).
% 0.22/0.48 fof(f431,plain,(
% 0.22/0.48 sP38_prd<=>(sP39_prd|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f420,f430])).
% 0.22/0.48 fof(f432,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f431])).
% 0.22/0.48 fof(f434,plain,(
% 0.22/0.48 ~sP38_prd|sP39_prd|~op(e1,e1)=e0),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f432])).
% 0.22/0.48 fof(f440,definition,(
% 0.22/0.48 sP40_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP40_prd])],[])).
% 0.22/0.48 fof(f441,plain,(
% 0.22/0.48 sP39_prd<=>(sP40_prd|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f430,f440])).
% 0.22/0.48 fof(f442,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f441])).
% 0.22/0.48 fof(f447,plain,(
% 0.22/0.48 ~sP39_prd|sP40_prd|~op(e4,e0)=e4),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f442])).
% 0.22/0.48 fof(f450,definition,(
% 0.22/0.48 sP41_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP41_prd])],[])).
% 0.22/0.48 fof(f451,plain,(
% 0.22/0.48 sP40_prd<=>(sP41_prd|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f440,f450])).
% 0.22/0.48 fof(f452,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f451])).
% 0.22/0.48 fof(f457,plain,(
% 0.22/0.48 ~sP40_prd|sP41_prd|~op(e0,e4)=e4),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f452])).
% 0.22/0.48 fof(f460,definition,(
% 0.22/0.48 sP42_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP42_prd])],[])).
% 0.22/0.48 fof(f461,plain,(
% 0.22/0.48 sP41_prd<=>(sP42_prd|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f450,f460])).
% 0.22/0.48 fof(f462,plain,(
% 0.22/0.48 (~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)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f461])).
% 0.22/0.48 fof(f466,plain,(
% 0.22/0.48 ~sP41_prd|sP42_prd|~op(e3,e0)=e3),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f462])).
% 0.22/0.48 fof(f470,definition,(
% 0.22/0.48 sP43_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP43_prd])],[])).
% 0.22/0.48 fof(f471,plain,(
% 0.22/0.48 sP42_prd<=>(sP43_prd|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f460,f470])).
% 0.22/0.48 fof(f472,plain,(
% 0.22/0.48 (~sP42_prd|(sP43_prd|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3)))&(sP42_prd|(~sP43_prd&((((op(e0,e0)=e3|op(e0,e1)=e3)|op(e0,e2)=e3)|op(e0,e3)=e3)|op(e0,e4)=e3)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f471])).
% 0.22/0.48 fof(f476,plain,(
% 0.22/0.48 ~sP42_prd|sP43_prd|~op(e0,e3)=e3),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f472])).
% 0.22/0.48 fof(f480,definition,(
% 0.22/0.48 sP44_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP44_prd])],[])).
% 0.22/0.48 fof(f481,plain,(
% 0.22/0.48 sP43_prd<=>(sP44_prd|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f470,f480])).
% 0.22/0.48 fof(f482,plain,(
% 0.22/0.48 (~sP43_prd|(sP44_prd|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2)))&(sP43_prd|(~sP44_prd&((((op(e0,e0)=e2|op(e1,e0)=e2)|op(e2,e0)=e2)|op(e3,e0)=e2)|op(e4,e0)=e2)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f481])).
% 0.22/0.48 fof(f485,plain,(
% 0.22/0.48 ~sP43_prd|sP44_prd|~op(e2,e0)=e2),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f482])).
% 0.22/0.48 fof(f490,definition,(
% 0.22/0.48 sP45_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP45_prd])],[])).
% 0.22/0.48 fof(f491,plain,(
% 0.22/0.48 sP44_prd<=>(sP45_prd|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f480,f490])).
% 0.22/0.48 fof(f492,plain,(
% 0.22/0.48 (~sP44_prd|(sP45_prd|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2)))&(sP44_prd|(~sP45_prd&((((op(e0,e0)=e2|op(e0,e1)=e2)|op(e0,e2)=e2)|op(e0,e3)=e2)|op(e0,e4)=e2)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f491])).
% 0.22/0.48 fof(f495,plain,(
% 0.22/0.48 ~sP44_prd|sP45_prd|~op(e0,e2)=e2),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f492])).
% 0.22/0.48 fof(f500,definition,(
% 0.22/0.48 sP46_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP46_prd])],[])).
% 0.22/0.48 fof(f501,plain,(
% 0.22/0.48 sP45_prd<=>(sP46_prd|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f490,f500])).
% 0.22/0.48 fof(f502,plain,(
% 0.22/0.48 (~sP45_prd|(sP46_prd|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1)))&(sP45_prd|(~sP46_prd&((((op(e0,e0)=e1|op(e1,e0)=e1)|op(e2,e0)=e1)|op(e3,e0)=e1)|op(e4,e0)=e1)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f501])).
% 0.22/0.48 fof(f504,plain,(
% 0.22/0.48 ~sP45_prd|sP46_prd|~op(e1,e0)=e1),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f502])).
% 0.22/0.48 fof(f510,definition,(
% 0.22/0.48 sP47_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))),
% 0.22/0.48 introduced(definition,[new_symbols(definition,[sP47_prd])],[])).
% 0.22/0.48 fof(f511,plain,(
% 0.22/0.48 sP46_prd<=>(sP47_prd|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))),
% 0.22/0.48 inference(formula_renaming,[status(thm)],[f500,f510])).
% 0.22/0.48 fof(f512,plain,(
% 0.22/0.48 (~sP46_prd|(sP47_prd|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1)))&(sP46_prd|(~sP47_prd&((((op(e0,e0)=e1|op(e0,e1)=e1)|op(e0,e2)=e1)|op(e0,e3)=e1)|op(e0,e4)=e1)))),
% 0.22/0.48 inference(NNF_transformation,[status(thm)],[f511])).
% 0.22/0.48 fof(f514,plain,(
% 0.22/0.48 ~sP46_prd|sP47_prd|~op(e0,e1)=e1),
% 0.22/0.48 inference(cnf_transformation,[status(thm)],[f512])).
% 0.22/0.48 fof(f520,definition,(
% 0.22/0.48 sP48_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP48_prd])],[])).
% 0.22/0.49 fof(f521,plain,(
% 0.22/0.49 sP47_prd<=>(sP48_prd|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f510,f520])).
% 0.22/0.49 fof(f522,plain,(
% 0.22/0.49 (~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)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f521])).
% 0.22/0.49 fof(f523,plain,(
% 0.22/0.49 ~sP47_prd|sP48_prd|~op(e0,e0)=e0),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f522])).
% 0.22/0.49 fof(f530,definition,(
% 0.22/0.49 sP49_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP49_prd])],[])).
% 0.22/0.49 fof(f531,plain,(
% 0.22/0.49 sP48_prd<=>(sP49_prd|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f520,f530])).
% 0.22/0.49 fof(f532,plain,(
% 0.22/0.49 (~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)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f531])).
% 0.22/0.49 fof(f533,plain,(
% 0.22/0.49 ~sP48_prd|sP49_prd|~op(e0,e0)=e0),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f532])).
% 0.22/0.49 fof(f540,definition,(
% 0.22/0.49 sP50_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP50_prd])],[])).
% 0.22/0.49 fof(f541,plain,(
% 0.22/0.49 sP49_prd<=>(sP50_prd|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f530,f540])).
% 0.22/0.49 fof(f542,plain,(
% 0.22/0.49 (~sP49_prd|(sP50_prd|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4)))&(sP49_prd|(~sP50_prd&((((unit=e0|unit=e1)|unit=e2)|unit=e3)|unit=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f541])).
% 0.22/0.49 fof(f543,plain,(
% 0.22/0.49 ~sP49_prd|sP50_prd|~unit=e0),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f542])).
% 0.22/0.49 fof(f550,definition,(
% 0.22/0.49 sP51_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP51_prd])],[])).
% 0.22/0.49 fof(f551,plain,(
% 0.22/0.49 sP50_prd<=>(((((((((((sP51_prd|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f540,f550])).
% 0.22/0.49 fof(f552,plain,(
% 0.22/0.49 (~sP50_prd|(((((((((((sP51_prd|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4))&(sP50_prd|(((((((((((~sP51_prd&((((op(e4,e4)=e0|op(e4,e4)=e1)|op(e4,e4)=e2)|op(e4,e4)=e3)|op(e4,e4)=e4))&op(unit,e0)=e0)&op(e0,unit)=e0)&op(unit,e1)=e1)&op(e1,unit)=e1)&op(unit,e2)=e2)&op(e2,unit)=e2)&op(unit,e3)=e3)&op(e3,unit)=e3)&op(unit,e4)=e4)&op(e4,unit)=e4))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f551])).
% 0.22/0.49 fof(f553,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~op(e4,e4)=e0|~op(unit,e0)=e0|~op(e0,unit)=e0|~op(unit,e1)=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f552])).
% 0.22/0.49 fof(f570,definition,(
% 0.22/0.49 sP52_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP52_prd])],[])).
% 0.22/0.49 fof(f571,plain,(
% 0.22/0.49 sP51_prd<=>(sP52_prd|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f550,f570])).
% 0.22/0.49 fof(f572,plain,(
% 0.22/0.49 (~sP51_prd|(sP52_prd|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4)))&(sP51_prd|(~sP52_prd&((((op(e4,e3)=e0|op(e4,e3)=e1)|op(e4,e3)=e2)|op(e4,e3)=e3)|op(e4,e3)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f571])).
% 0.22/0.49 fof(f575,plain,(
% 0.22/0.49 ~sP51_prd|sP52_prd|~op(e4,e3)=e2),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f572])).
% 0.22/0.49 fof(f580,definition,(
% 0.22/0.49 sP53_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP53_prd])],[])).
% 0.22/0.49 fof(f581,plain,(
% 0.22/0.49 sP52_prd<=>(sP53_prd|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f570,f580])).
% 0.22/0.49 fof(f582,plain,(
% 0.22/0.49 (~sP52_prd|(sP53_prd|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4)))&(sP52_prd|(~sP53_prd&((((op(e4,e2)=e0|op(e4,e2)=e1)|op(e4,e2)=e2)|op(e4,e2)=e3)|op(e4,e2)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f581])).
% 0.22/0.49 fof(f584,plain,(
% 0.22/0.49 ~sP52_prd|sP53_prd|~op(e4,e2)=e1),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f582])).
% 0.22/0.49 fof(f590,definition,(
% 0.22/0.49 sP54_prd<=>((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP54_prd])],[])).
% 0.22/0.49 fof(f591,plain,(
% 0.22/0.49 sP53_prd<=>(sP54_prd|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f580,f590])).
% 0.22/0.49 fof(f592,plain,(
% 0.22/0.49 (~sP53_prd|(sP54_prd|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4)))&(sP53_prd|(~sP54_prd&((((op(e4,e1)=e0|op(e4,e1)=e1)|op(e4,e1)=e2)|op(e4,e1)=e3)|op(e4,e1)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f591])).
% 0.22/0.49 fof(f596,plain,(
% 0.22/0.49 ~sP53_prd|sP54_prd|~op(e4,e1)=e3),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f592])).
% 0.22/0.49 fof(f600,definition,(
% 0.22/0.49 sP55_prd<=>(((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP55_prd])],[])).
% 0.22/0.49 fof(f601,plain,(
% 0.22/0.49 sP54_prd<=>(sP55_prd|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f590,f600])).
% 0.22/0.49 fof(f602,plain,(
% 0.22/0.49 (~sP54_prd|(sP55_prd|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4)))&(sP54_prd|(~sP55_prd&((((op(e4,e0)=e0|op(e4,e0)=e1)|op(e4,e0)=e2)|op(e4,e0)=e3)|op(e4,e0)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f601])).
% 0.22/0.49 fof(f607,plain,(
% 0.22/0.49 ~sP54_prd|sP55_prd|~op(e4,e0)=e4),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f602])).
% 0.22/0.49 fof(f610,definition,(
% 0.22/0.49 sP56_prd<=>((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP56_prd])],[])).
% 0.22/0.49 fof(f611,plain,(
% 0.22/0.49 sP55_prd<=>(sP56_prd|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f600,f610])).
% 0.22/0.49 fof(f612,plain,(
% 0.22/0.49 (~sP55_prd|(sP56_prd|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4)))&(sP55_prd|(~sP56_prd&((((op(e3,e4)=e0|op(e3,e4)=e1)|op(e3,e4)=e2)|op(e3,e4)=e3)|op(e3,e4)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f611])).
% 0.22/0.49 fof(f614,plain,(
% 0.22/0.49 ~sP55_prd|sP56_prd|~op(e3,e4)=e1),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f612])).
% 0.22/0.49 fof(f620,definition,(
% 0.22/0.49 sP57_prd<=>(((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP57_prd])],[])).
% 0.22/0.49 fof(f621,plain,(
% 0.22/0.49 sP56_prd<=>(sP57_prd|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f610,f620])).
% 0.22/0.49 fof(f622,plain,(
% 0.22/0.49 (~sP56_prd|(sP57_prd|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4)))&(sP56_prd|(~sP57_prd&((((op(e3,e3)=e0|op(e3,e3)=e1)|op(e3,e3)=e2)|op(e3,e3)=e3)|op(e3,e3)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f621])).
% 0.22/0.49 fof(f623,plain,(
% 0.22/0.49 ~sP56_prd|sP57_prd|~op(e3,e3)=e0),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f622])).
% 0.22/0.49 fof(f630,definition,(
% 0.22/0.49 sP58_prd<=>((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP58_prd])],[])).
% 0.22/0.49 fof(f631,plain,(
% 0.22/0.49 sP57_prd<=>(sP58_prd|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f620,f630])).
% 0.22/0.49 fof(f632,plain,(
% 0.22/0.49 (~sP57_prd|(sP58_prd|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4)))&(sP57_prd|(~sP58_prd&((((op(e3,e2)=e0|op(e3,e2)=e1)|op(e3,e2)=e2)|op(e3,e2)=e3)|op(e3,e2)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f631])).
% 0.22/0.49 fof(f637,plain,(
% 0.22/0.49 ~sP57_prd|sP58_prd|~op(e3,e2)=e4),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f632])).
% 0.22/0.49 fof(f640,definition,(
% 0.22/0.49 sP59_prd<=>(((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP59_prd])],[])).
% 0.22/0.49 fof(f641,plain,(
% 0.22/0.49 sP58_prd<=>(sP59_prd|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f630,f640])).
% 0.22/0.49 fof(f642,plain,(
% 0.22/0.49 (~sP58_prd|(sP59_prd|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4)))&(sP58_prd|(~sP59_prd&((((op(e3,e1)=e0|op(e3,e1)=e1)|op(e3,e1)=e2)|op(e3,e1)=e3)|op(e3,e1)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f641])).
% 0.22/0.49 fof(f645,plain,(
% 0.22/0.49 ~sP58_prd|sP59_prd|~op(e3,e1)=e2),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f642])).
% 0.22/0.49 fof(f650,definition,(
% 0.22/0.49 sP60_prd<=>((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP60_prd])],[])).
% 0.22/0.49 fof(f651,plain,(
% 0.22/0.49 sP59_prd<=>(sP60_prd|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f640,f650])).
% 0.22/0.49 fof(f652,plain,(
% 0.22/0.49 (~sP59_prd|(sP60_prd|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4)))&(sP59_prd|(~sP60_prd&((((op(e3,e0)=e0|op(e3,e0)=e1)|op(e3,e0)=e2)|op(e3,e0)=e3)|op(e3,e0)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f651])).
% 0.22/0.49 fof(f656,plain,(
% 0.22/0.49 ~sP59_prd|sP60_prd|~op(e3,e0)=e3),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f652])).
% 0.22/0.49 fof(f660,definition,(
% 0.22/0.49 sP61_prd<=>(((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP61_prd])],[])).
% 0.22/0.49 fof(f661,plain,(
% 0.22/0.49 sP60_prd<=>(sP61_prd|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f650,f660])).
% 0.22/0.49 fof(f662,plain,(
% 0.22/0.49 (~sP60_prd|(sP61_prd|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4)))&(sP60_prd|(~sP61_prd&((((op(e2,e4)=e0|op(e2,e4)=e1)|op(e2,e4)=e2)|op(e2,e4)=e3)|op(e2,e4)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f661])).
% 0.22/0.49 fof(f666,plain,(
% 0.22/0.49 ~sP60_prd|sP61_prd|~op(e2,e4)=e3),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f662])).
% 0.22/0.49 fof(f670,definition,(
% 0.22/0.49 sP62_prd<=>((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP62_prd])],[])).
% 0.22/0.49 fof(f671,plain,(
% 0.22/0.49 sP61_prd<=>(sP62_prd|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f660,f670])).
% 0.22/0.49 fof(f672,plain,(
% 0.22/0.49 (~sP61_prd|(sP62_prd|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4)))&(sP61_prd|(~sP62_prd&((((op(e2,e3)=e0|op(e2,e3)=e1)|op(e2,e3)=e2)|op(e2,e3)=e3)|op(e2,e3)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f671])).
% 0.22/0.49 fof(f674,plain,(
% 0.22/0.49 ~sP61_prd|sP62_prd|~op(e2,e3)=e1),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f672])).
% 0.22/0.49 fof(f680,definition,(
% 0.22/0.49 sP63_prd<=>(((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP63_prd])],[])).
% 0.22/0.49 fof(f681,plain,(
% 0.22/0.49 sP62_prd<=>(sP63_prd|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f670,f680])).
% 0.22/0.49 fof(f682,plain,(
% 0.22/0.49 (~sP62_prd|(sP63_prd|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4)))&(sP62_prd|(~sP63_prd&((((op(e2,e2)=e0|op(e2,e2)=e1)|op(e2,e2)=e2)|op(e2,e2)=e3)|op(e2,e2)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f681])).
% 0.22/0.49 fof(f683,plain,(
% 0.22/0.49 ~sP62_prd|sP63_prd|~op(e2,e2)=e0),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f682])).
% 0.22/0.49 fof(f690,definition,(
% 0.22/0.49 sP64_prd<=>((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP64_prd])],[])).
% 0.22/0.49 fof(f691,plain,(
% 0.22/0.49 sP63_prd<=>(sP64_prd|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f680,f690])).
% 0.22/0.49 fof(f692,plain,(
% 0.22/0.49 (~sP63_prd|(sP64_prd|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4)))&(sP63_prd|(~sP64_prd&((((op(e2,e1)=e0|op(e2,e1)=e1)|op(e2,e1)=e2)|op(e2,e1)=e3)|op(e2,e1)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f691])).
% 0.22/0.49 fof(f697,plain,(
% 0.22/0.49 ~sP63_prd|sP64_prd|~op(e2,e1)=e4),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f692])).
% 0.22/0.49 fof(f700,definition,(
% 0.22/0.49 sP65_prd<=>(((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP65_prd])],[])).
% 0.22/0.49 fof(f701,plain,(
% 0.22/0.49 sP64_prd<=>(sP65_prd|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f690,f700])).
% 0.22/0.49 fof(f702,plain,(
% 0.22/0.49 (~sP64_prd|(sP65_prd|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4)))&(sP64_prd|(~sP65_prd&((((op(e2,e0)=e0|op(e2,e0)=e1)|op(e2,e0)=e2)|op(e2,e0)=e3)|op(e2,e0)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f701])).
% 0.22/0.49 fof(f705,plain,(
% 0.22/0.49 ~sP64_prd|sP65_prd|~op(e2,e0)=e2),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f702])).
% 0.22/0.49 fof(f710,definition,(
% 0.22/0.49 sP66_prd<=>((((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP66_prd])],[])).
% 0.22/0.49 fof(f711,plain,(
% 0.22/0.49 sP65_prd<=>(sP66_prd|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f700,f710])).
% 0.22/0.49 fof(f712,plain,(
% 0.22/0.49 (~sP65_prd|(sP66_prd|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4)))&(sP65_prd|(~sP66_prd&((((op(e1,e4)=e0|op(e1,e4)=e1)|op(e1,e4)=e2)|op(e1,e4)=e3)|op(e1,e4)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f711])).
% 0.22/0.49 fof(f715,plain,(
% 0.22/0.49 ~sP65_prd|sP66_prd|~op(e1,e4)=e2),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f712])).
% 0.22/0.49 fof(f720,definition,(
% 0.22/0.49 sP67_prd<=>(((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP67_prd])],[])).
% 0.22/0.49 fof(f721,plain,(
% 0.22/0.49 sP66_prd<=>(sP67_prd|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f710,f720])).
% 0.22/0.49 fof(f722,plain,(
% 0.22/0.49 (~sP66_prd|(sP67_prd|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4)))&(sP66_prd|(~sP67_prd&((((op(e1,e3)=e0|op(e1,e3)=e1)|op(e1,e3)=e2)|op(e1,e3)=e3)|op(e1,e3)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f721])).
% 0.22/0.49 fof(f727,plain,(
% 0.22/0.49 ~sP66_prd|sP67_prd|~op(e1,e3)=e4),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f722])).
% 0.22/0.49 fof(f730,definition,(
% 0.22/0.49 sP68_prd<=>((((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP68_prd])],[])).
% 0.22/0.49 fof(f731,plain,(
% 0.22/0.49 sP67_prd<=>(sP68_prd|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f720,f730])).
% 0.22/0.49 fof(f732,plain,(
% 0.22/0.49 (~sP67_prd|(sP68_prd|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4)))&(sP67_prd|(~sP68_prd&((((op(e1,e2)=e0|op(e1,e2)=e1)|op(e1,e2)=e2)|op(e1,e2)=e3)|op(e1,e2)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f731])).
% 0.22/0.49 fof(f736,plain,(
% 0.22/0.49 ~sP67_prd|sP68_prd|~op(e1,e2)=e3),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f732])).
% 0.22/0.49 fof(f740,definition,(
% 0.22/0.49 sP69_prd<=>(((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP69_prd])],[])).
% 0.22/0.49 fof(f741,plain,(
% 0.22/0.49 sP68_prd<=>(sP69_prd|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f730,f740])).
% 0.22/0.49 fof(f742,plain,(
% 0.22/0.49 (~sP68_prd|(sP69_prd|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4)))&(sP68_prd|(~sP69_prd&((((op(e1,e1)=e0|op(e1,e1)=e1)|op(e1,e1)=e2)|op(e1,e1)=e3)|op(e1,e1)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f741])).
% 0.22/0.49 fof(f743,plain,(
% 0.22/0.49 ~sP68_prd|sP69_prd|~op(e1,e1)=e0),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f742])).
% 0.22/0.49 fof(f750,definition,(
% 0.22/0.49 sP70_prd<=>((((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP70_prd])],[])).
% 0.22/0.49 fof(f751,plain,(
% 0.22/0.49 sP69_prd<=>(sP70_prd|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f740,f750])).
% 0.22/0.49 fof(f752,plain,(
% 0.22/0.49 (~sP69_prd|(sP70_prd|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4)))&(sP69_prd|(~sP70_prd&((((op(e1,e0)=e0|op(e1,e0)=e1)|op(e1,e0)=e2)|op(e1,e0)=e3)|op(e1,e0)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f751])).
% 0.22/0.49 fof(f754,plain,(
% 0.22/0.49 ~sP69_prd|sP70_prd|~op(e1,e0)=e1),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f752])).
% 0.22/0.49 fof(f760,definition,(
% 0.22/0.49 sP71_prd<=>(((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP71_prd])],[])).
% 0.22/0.49 fof(f761,plain,(
% 0.22/0.49 sP70_prd<=>(sP71_prd|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f750,f760])).
% 0.22/0.49 fof(f762,plain,(
% 0.22/0.49 (~sP70_prd|(sP71_prd|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4)))&(sP70_prd|(~sP71_prd&((((op(e0,e4)=e0|op(e0,e4)=e1)|op(e0,e4)=e2)|op(e0,e4)=e3)|op(e0,e4)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f761])).
% 0.22/0.49 fof(f767,plain,(
% 0.22/0.49 ~sP70_prd|sP71_prd|~op(e0,e4)=e4),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f762])).
% 0.22/0.49 fof(f770,definition,(
% 0.22/0.49 sP72_prd<=>((((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP72_prd])],[])).
% 0.22/0.49 fof(f771,plain,(
% 0.22/0.49 sP71_prd<=>(sP72_prd|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f760,f770])).
% 0.22/0.49 fof(f772,plain,(
% 0.22/0.49 (~sP71_prd|(sP72_prd|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4)))&(sP71_prd|(~sP72_prd&((((op(e0,e3)=e0|op(e0,e3)=e1)|op(e0,e3)=e2)|op(e0,e3)=e3)|op(e0,e3)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f771])).
% 0.22/0.49 fof(f776,plain,(
% 0.22/0.49 ~sP71_prd|sP72_prd|~op(e0,e3)=e3),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f772])).
% 0.22/0.49 fof(f780,definition,(
% 0.22/0.49 sP73_prd<=>(((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP73_prd])],[])).
% 0.22/0.49 fof(f781,plain,(
% 0.22/0.49 sP72_prd<=>(sP73_prd|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f770,f780])).
% 0.22/0.49 fof(f782,plain,(
% 0.22/0.49 (~sP72_prd|(sP73_prd|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4)))&(sP72_prd|(~sP73_prd&((((op(e0,e2)=e0|op(e0,e2)=e1)|op(e0,e2)=e2)|op(e0,e2)=e3)|op(e0,e2)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f781])).
% 0.22/0.49 fof(f785,plain,(
% 0.22/0.49 ~sP72_prd|sP73_prd|~op(e0,e2)=e2),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f782])).
% 0.22/0.49 fof(f790,definition,(
% 0.22/0.49 sP74_prd<=>((((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP74_prd])],[])).
% 0.22/0.49 fof(f791,plain,(
% 0.22/0.49 sP73_prd<=>(sP74_prd|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f780,f790])).
% 0.22/0.49 fof(f792,plain,(
% 0.22/0.49 (~sP73_prd|(sP74_prd|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4)))&(sP73_prd|(~sP74_prd&((((op(e0,e1)=e0|op(e0,e1)=e1)|op(e0,e1)=e2)|op(e0,e1)=e3)|op(e0,e1)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f791])).
% 0.22/0.49 fof(f794,plain,(
% 0.22/0.49 ~sP73_prd|sP74_prd|~op(e0,e1)=e1),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f792])).
% 0.22/0.49 fof(f800,definition,(
% 0.22/0.49 sP75_prd<=>(((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))|(op(e4,e4)=e4&~op(e4,e4)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP75_prd])],[])).
% 0.22/0.49 fof(f801,plain,(
% 0.22/0.49 sP74_prd<=>(sP75_prd|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f790,f800])).
% 0.22/0.49 fof(f802,plain,(
% 0.22/0.49 (~sP74_prd|(sP75_prd|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4)))&(sP74_prd|(~sP75_prd&((((op(e0,e0)=e0|op(e0,e0)=e1)|op(e0,e0)=e2)|op(e0,e0)=e3)|op(e0,e0)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f801])).
% 0.22/0.49 fof(f803,plain,(
% 0.22/0.49 ~sP74_prd|sP75_prd|~op(e0,e0)=e0),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f802])).
% 0.22/0.49 fof(f810,definition,(
% 0.22/0.49 sP76_prd<=>((((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))|(op(e4,e4)=e3&~op(e4,e3)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP76_prd])],[])).
% 0.22/0.49 fof(f811,plain,(
% 0.22/0.49 sP75_prd<=>(sP76_prd|(op(e4,e4)=e4&~op(e4,e4)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f800,f810])).
% 0.22/0.49 fof(f812,plain,(
% 0.22/0.49 (~sP75_prd|(sP76_prd|(op(e4,e4)=e4&~op(e4,e4)=e4)))&(sP75_prd|(~sP76_prd&(~op(e4,e4)=e4|op(e4,e4)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f811])).
% 0.22/0.49 fof(f813,plain,(
% 0.22/0.49 ~sP75_prd|sP76_prd|op(e4,e4)=e4),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f812])).
% 0.22/0.49 fof(f817,definition,(
% 0.22/0.49 sP77_prd<=>(((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))|(op(e4,e4)=e2&~op(e4,e2)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP77_prd])],[])).
% 0.22/0.49 fof(f818,plain,(
% 0.22/0.49 sP76_prd<=>(sP77_prd|(op(e4,e4)=e3&~op(e4,e3)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f810,f817])).
% 0.22/0.49 fof(f819,plain,(
% 0.22/0.49 (~sP76_prd|(sP77_prd|(op(e4,e4)=e3&~op(e4,e3)=e4)))&(sP76_prd|(~sP77_prd&(~op(e4,e4)=e3|op(e4,e3)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f818])).
% 0.22/0.49 fof(f820,plain,(
% 0.22/0.49 ~sP76_prd|sP77_prd|op(e4,e4)=e3),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f819])).
% 0.22/0.49 fof(f824,definition,(
% 0.22/0.49 sP78_prd<=>((((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))|(op(e4,e4)=e1&~op(e4,e1)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP78_prd])],[])).
% 0.22/0.49 fof(f825,plain,(
% 0.22/0.49 sP77_prd<=>(sP78_prd|(op(e4,e4)=e2&~op(e4,e2)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f817,f824])).
% 0.22/0.49 fof(f826,plain,(
% 0.22/0.49 (~sP77_prd|(sP78_prd|(op(e4,e4)=e2&~op(e4,e2)=e4)))&(sP77_prd|(~sP78_prd&(~op(e4,e4)=e2|op(e4,e2)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f825])).
% 0.22/0.49 fof(f827,plain,(
% 0.22/0.49 ~sP77_prd|sP78_prd|op(e4,e4)=e2),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f826])).
% 0.22/0.49 fof(f831,definition,(
% 0.22/0.49 sP79_prd<=>(((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))|(op(e4,e4)=e0&~op(e4,e0)=e4))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP79_prd])],[])).
% 0.22/0.49 fof(f832,plain,(
% 0.22/0.49 sP78_prd<=>(sP79_prd|(op(e4,e4)=e1&~op(e4,e1)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f824,f831])).
% 0.22/0.49 fof(f833,plain,(
% 0.22/0.49 (~sP78_prd|(sP79_prd|(op(e4,e4)=e1&~op(e4,e1)=e4)))&(sP78_prd|(~sP79_prd&(~op(e4,e4)=e1|op(e4,e1)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f832])).
% 0.22/0.49 fof(f834,plain,(
% 0.22/0.49 ~sP78_prd|sP79_prd|op(e4,e4)=e1),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f833])).
% 0.22/0.49 fof(f838,definition,(
% 0.22/0.49 sP80_prd<=>((((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))|(op(e3,e3)=e4&~op(e3,e4)=e3))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP80_prd])],[])).
% 0.22/0.49 fof(f839,plain,(
% 0.22/0.49 sP79_prd<=>(sP80_prd|(op(e4,e4)=e0&~op(e4,e0)=e4))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f831,f838])).
% 0.22/0.49 fof(f840,plain,(
% 0.22/0.49 (~sP79_prd|(sP80_prd|(op(e4,e4)=e0&~op(e4,e0)=e4)))&(sP79_prd|(~sP80_prd&(~op(e4,e4)=e0|op(e4,e0)=e4)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f839])).
% 0.22/0.49 fof(f842,plain,(
% 0.22/0.49 ~sP79_prd|sP80_prd|~op(e4,e0)=e4),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f840])).
% 0.22/0.49 fof(f845,definition,(
% 0.22/0.49 sP81_prd<=>(((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))|(op(e3,e3)=e3&~op(e3,e3)=e3))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP81_prd])],[])).
% 0.22/0.49 fof(f846,plain,(
% 0.22/0.49 sP80_prd<=>(sP81_prd|(op(e3,e3)=e4&~op(e3,e4)=e3))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f838,f845])).
% 0.22/0.49 fof(f847,plain,(
% 0.22/0.49 (~sP80_prd|(sP81_prd|(op(e3,e3)=e4&~op(e3,e4)=e3)))&(sP80_prd|(~sP81_prd&(~op(e3,e3)=e4|op(e3,e4)=e3)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f846])).
% 0.22/0.49 fof(f848,plain,(
% 0.22/0.49 ~sP80_prd|sP81_prd|op(e3,e3)=e4),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f847])).
% 0.22/0.49 fof(f852,definition,(
% 0.22/0.49 sP82_prd<=>((((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))|(op(e3,e3)=e2&~op(e3,e2)=e3))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP82_prd])],[])).
% 0.22/0.49 fof(f853,plain,(
% 0.22/0.49 sP81_prd<=>(sP82_prd|(op(e3,e3)=e3&~op(e3,e3)=e3))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f845,f852])).
% 0.22/0.49 fof(f854,plain,(
% 0.22/0.49 (~sP81_prd|(sP82_prd|(op(e3,e3)=e3&~op(e3,e3)=e3)))&(sP81_prd|(~sP82_prd&(~op(e3,e3)=e3|op(e3,e3)=e3)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f853])).
% 0.22/0.49 fof(f855,plain,(
% 0.22/0.49 ~sP81_prd|sP82_prd|op(e3,e3)=e3),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f854])).
% 0.22/0.49 fof(f859,definition,(
% 0.22/0.49 sP83_prd<=>(((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))|(op(e3,e3)=e1&~op(e3,e1)=e3))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP83_prd])],[])).
% 0.22/0.49 fof(f860,plain,(
% 0.22/0.49 sP82_prd<=>(sP83_prd|(op(e3,e3)=e2&~op(e3,e2)=e3))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f852,f859])).
% 0.22/0.49 fof(f861,plain,(
% 0.22/0.49 (~sP82_prd|(sP83_prd|(op(e3,e3)=e2&~op(e3,e2)=e3)))&(sP82_prd|(~sP83_prd&(~op(e3,e3)=e2|op(e3,e2)=e3)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f860])).
% 0.22/0.49 fof(f862,plain,(
% 0.22/0.49 ~sP82_prd|sP83_prd|op(e3,e3)=e2),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f861])).
% 0.22/0.49 fof(f866,definition,(
% 0.22/0.49 sP84_prd<=>((((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))|(op(e3,e3)=e0&~op(e3,e0)=e3))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP84_prd])],[])).
% 0.22/0.49 fof(f867,plain,(
% 0.22/0.49 sP83_prd<=>(sP84_prd|(op(e3,e3)=e1&~op(e3,e1)=e3))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f859,f866])).
% 0.22/0.49 fof(f868,plain,(
% 0.22/0.49 (~sP83_prd|(sP84_prd|(op(e3,e3)=e1&~op(e3,e1)=e3)))&(sP83_prd|(~sP84_prd&(~op(e3,e3)=e1|op(e3,e1)=e3)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f867])).
% 0.22/0.49 fof(f869,plain,(
% 0.22/0.49 ~sP83_prd|sP84_prd|op(e3,e3)=e1),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f868])).
% 0.22/0.49 fof(f873,definition,(
% 0.22/0.49 sP85_prd<=>(((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))|(op(e2,e2)=e4&~op(e2,e4)=e2))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP85_prd])],[])).
% 0.22/0.49 fof(f874,plain,(
% 0.22/0.49 sP84_prd<=>(sP85_prd|(op(e3,e3)=e0&~op(e3,e0)=e3))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f866,f873])).
% 0.22/0.49 fof(f875,plain,(
% 0.22/0.49 (~sP84_prd|(sP85_prd|(op(e3,e3)=e0&~op(e3,e0)=e3)))&(sP84_prd|(~sP85_prd&(~op(e3,e3)=e0|op(e3,e0)=e3)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f874])).
% 0.22/0.49 fof(f877,plain,(
% 0.22/0.49 ~sP84_prd|sP85_prd|~op(e3,e0)=e3),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f875])).
% 0.22/0.49 fof(f880,definition,(
% 0.22/0.49 sP86_prd<=>((((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))|(op(e2,e2)=e3&~op(e2,e3)=e2))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP86_prd])],[])).
% 0.22/0.49 fof(f881,plain,(
% 0.22/0.49 sP85_prd<=>(sP86_prd|(op(e2,e2)=e4&~op(e2,e4)=e2))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f873,f880])).
% 0.22/0.49 fof(f882,plain,(
% 0.22/0.49 (~sP85_prd|(sP86_prd|(op(e2,e2)=e4&~op(e2,e4)=e2)))&(sP85_prd|(~sP86_prd&(~op(e2,e2)=e4|op(e2,e4)=e2)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f881])).
% 0.22/0.49 fof(f883,plain,(
% 0.22/0.49 ~sP85_prd|sP86_prd|op(e2,e2)=e4),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f882])).
% 0.22/0.49 fof(f887,definition,(
% 0.22/0.49 sP87_prd<=>(((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))|(op(e2,e2)=e2&~op(e2,e2)=e2))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP87_prd])],[])).
% 0.22/0.49 fof(f888,plain,(
% 0.22/0.49 sP86_prd<=>(sP87_prd|(op(e2,e2)=e3&~op(e2,e3)=e2))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f880,f887])).
% 0.22/0.49 fof(f889,plain,(
% 0.22/0.49 (~sP86_prd|(sP87_prd|(op(e2,e2)=e3&~op(e2,e3)=e2)))&(sP86_prd|(~sP87_prd&(~op(e2,e2)=e3|op(e2,e3)=e2)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f888])).
% 0.22/0.49 fof(f890,plain,(
% 0.22/0.49 ~sP86_prd|sP87_prd|op(e2,e2)=e3),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f889])).
% 0.22/0.49 fof(f894,definition,(
% 0.22/0.49 sP88_prd<=>((((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))|(op(e2,e2)=e1&~op(e2,e1)=e2))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP88_prd])],[])).
% 0.22/0.49 fof(f895,plain,(
% 0.22/0.49 sP87_prd<=>(sP88_prd|(op(e2,e2)=e2&~op(e2,e2)=e2))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f887,f894])).
% 0.22/0.49 fof(f896,plain,(
% 0.22/0.49 (~sP87_prd|(sP88_prd|(op(e2,e2)=e2&~op(e2,e2)=e2)))&(sP87_prd|(~sP88_prd&(~op(e2,e2)=e2|op(e2,e2)=e2)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f895])).
% 0.22/0.49 fof(f897,plain,(
% 0.22/0.49 ~sP87_prd|sP88_prd|op(e2,e2)=e2),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f896])).
% 0.22/0.49 fof(f901,definition,(
% 0.22/0.49 sP89_prd<=>(((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))|(op(e2,e2)=e0&~op(e2,e0)=e2))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP89_prd])],[])).
% 0.22/0.49 fof(f902,plain,(
% 0.22/0.49 sP88_prd<=>(sP89_prd|(op(e2,e2)=e1&~op(e2,e1)=e2))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f894,f901])).
% 0.22/0.49 fof(f903,plain,(
% 0.22/0.49 (~sP88_prd|(sP89_prd|(op(e2,e2)=e1&~op(e2,e1)=e2)))&(sP88_prd|(~sP89_prd&(~op(e2,e2)=e1|op(e2,e1)=e2)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f902])).
% 0.22/0.49 fof(f904,plain,(
% 0.22/0.49 ~sP88_prd|sP89_prd|op(e2,e2)=e1),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f903])).
% 0.22/0.49 fof(f908,definition,(
% 0.22/0.49 sP90_prd<=>((((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))|(op(e1,e1)=e4&~op(e1,e4)=e1))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP90_prd])],[])).
% 0.22/0.49 fof(f909,plain,(
% 0.22/0.49 sP89_prd<=>(sP90_prd|(op(e2,e2)=e0&~op(e2,e0)=e2))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f901,f908])).
% 0.22/0.49 fof(f910,plain,(
% 0.22/0.49 (~sP89_prd|(sP90_prd|(op(e2,e2)=e0&~op(e2,e0)=e2)))&(sP89_prd|(~sP90_prd&(~op(e2,e2)=e0|op(e2,e0)=e2)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f909])).
% 0.22/0.49 fof(f912,plain,(
% 0.22/0.49 ~sP89_prd|sP90_prd|~op(e2,e0)=e2),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f910])).
% 0.22/0.49 fof(f915,definition,(
% 0.22/0.49 sP91_prd<=>(((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))|(op(e1,e1)=e3&~op(e1,e3)=e1))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP91_prd])],[])).
% 0.22/0.49 fof(f916,plain,(
% 0.22/0.49 sP90_prd<=>(sP91_prd|(op(e1,e1)=e4&~op(e1,e4)=e1))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f908,f915])).
% 0.22/0.49 fof(f917,plain,(
% 0.22/0.49 (~sP90_prd|(sP91_prd|(op(e1,e1)=e4&~op(e1,e4)=e1)))&(sP90_prd|(~sP91_prd&(~op(e1,e1)=e4|op(e1,e4)=e1)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f916])).
% 0.22/0.49 fof(f918,plain,(
% 0.22/0.49 ~sP90_prd|sP91_prd|op(e1,e1)=e4),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f917])).
% 0.22/0.49 fof(f922,definition,(
% 0.22/0.49 sP92_prd<=>((((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))|(op(e1,e1)=e2&~op(e1,e2)=e1))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP92_prd])],[])).
% 0.22/0.49 fof(f923,plain,(
% 0.22/0.49 sP91_prd<=>(sP92_prd|(op(e1,e1)=e3&~op(e1,e3)=e1))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f915,f922])).
% 0.22/0.49 fof(f924,plain,(
% 0.22/0.49 (~sP91_prd|(sP92_prd|(op(e1,e1)=e3&~op(e1,e3)=e1)))&(sP91_prd|(~sP92_prd&(~op(e1,e1)=e3|op(e1,e3)=e1)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f923])).
% 0.22/0.49 fof(f925,plain,(
% 0.22/0.49 ~sP91_prd|sP92_prd|op(e1,e1)=e3),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f924])).
% 0.22/0.49 fof(f929,definition,(
% 0.22/0.49 sP93_prd<=>(((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))|(op(e1,e1)=e1&~op(e1,e1)=e1))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP93_prd])],[])).
% 0.22/0.49 fof(f930,plain,(
% 0.22/0.49 sP92_prd<=>(sP93_prd|(op(e1,e1)=e2&~op(e1,e2)=e1))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f922,f929])).
% 0.22/0.49 fof(f931,plain,(
% 0.22/0.49 (~sP92_prd|(sP93_prd|(op(e1,e1)=e2&~op(e1,e2)=e1)))&(sP92_prd|(~sP93_prd&(~op(e1,e1)=e2|op(e1,e2)=e1)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f930])).
% 0.22/0.49 fof(f932,plain,(
% 0.22/0.49 ~sP92_prd|sP93_prd|op(e1,e1)=e2),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f931])).
% 0.22/0.49 fof(f936,definition,(
% 0.22/0.49 sP94_prd<=>((((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))|(op(e1,e1)=e0&~op(e1,e0)=e1))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP94_prd])],[])).
% 0.22/0.49 fof(f937,plain,(
% 0.22/0.49 sP93_prd<=>(sP94_prd|(op(e1,e1)=e1&~op(e1,e1)=e1))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f929,f936])).
% 0.22/0.49 fof(f938,plain,(
% 0.22/0.49 (~sP93_prd|(sP94_prd|(op(e1,e1)=e1&~op(e1,e1)=e1)))&(sP93_prd|(~sP94_prd&(~op(e1,e1)=e1|op(e1,e1)=e1)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f937])).
% 0.22/0.49 fof(f939,plain,(
% 0.22/0.49 ~sP93_prd|sP94_prd|op(e1,e1)=e1),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f938])).
% 0.22/0.49 fof(f943,definition,(
% 0.22/0.49 sP95_prd<=>(((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))|(op(e0,e0)=e4&~op(e0,e4)=e0))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP95_prd])],[])).
% 0.22/0.49 fof(f944,plain,(
% 0.22/0.49 sP94_prd<=>(sP95_prd|(op(e1,e1)=e0&~op(e1,e0)=e1))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f936,f943])).
% 0.22/0.49 fof(f945,plain,(
% 0.22/0.49 (~sP94_prd|(sP95_prd|(op(e1,e1)=e0&~op(e1,e0)=e1)))&(sP94_prd|(~sP95_prd&(~op(e1,e1)=e0|op(e1,e0)=e1)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f944])).
% 0.22/0.49 fof(f947,plain,(
% 0.22/0.49 ~sP94_prd|sP95_prd|~op(e1,e0)=e1),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f945])).
% 0.22/0.49 fof(f950,definition,(
% 0.22/0.49 sP96_prd<=>((((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))|(op(e0,e0)=e3&~op(e0,e3)=e0))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP96_prd])],[])).
% 0.22/0.49 fof(f951,plain,(
% 0.22/0.49 sP95_prd<=>(sP96_prd|(op(e0,e0)=e4&~op(e0,e4)=e0))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f943,f950])).
% 0.22/0.49 fof(f952,plain,(
% 0.22/0.49 (~sP95_prd|(sP96_prd|(op(e0,e0)=e4&~op(e0,e4)=e0)))&(sP95_prd|(~sP96_prd&(~op(e0,e0)=e4|op(e0,e4)=e0)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f951])).
% 0.22/0.49 fof(f953,plain,(
% 0.22/0.49 ~sP95_prd|sP96_prd|op(e0,e0)=e4),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f952])).
% 0.22/0.49 fof(f957,definition,(
% 0.22/0.49 sP97_prd<=>(((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))|(op(e0,e0)=e2&~op(e0,e2)=e0))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP97_prd])],[])).
% 0.22/0.49 fof(f958,plain,(
% 0.22/0.49 sP96_prd<=>(sP97_prd|(op(e0,e0)=e3&~op(e0,e3)=e0))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f950,f957])).
% 0.22/0.49 fof(f959,plain,(
% 0.22/0.49 (~sP96_prd|(sP97_prd|(op(e0,e0)=e3&~op(e0,e3)=e0)))&(sP96_prd|(~sP97_prd&(~op(e0,e0)=e3|op(e0,e3)=e0)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f958])).
% 0.22/0.49 fof(f960,plain,(
% 0.22/0.49 ~sP96_prd|sP97_prd|op(e0,e0)=e3),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f959])).
% 0.22/0.49 fof(f964,definition,(
% 0.22/0.49 sP98_prd<=>((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0))),
% 0.22/0.49 introduced(definition,[new_symbols(definition,[sP98_prd])],[])).
% 0.22/0.49 fof(f965,plain,(
% 0.22/0.49 sP97_prd<=>(sP98_prd|(op(e0,e0)=e2&~op(e0,e2)=e0))),
% 0.22/0.49 inference(formula_renaming,[status(thm)],[f957,f964])).
% 0.22/0.49 fof(f966,plain,(
% 0.22/0.49 (~sP97_prd|(sP98_prd|(op(e0,e0)=e2&~op(e0,e2)=e0)))&(sP97_prd|(~sP98_prd&(~op(e0,e0)=e2|op(e0,e2)=e0)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f965])).
% 0.22/0.49 fof(f967,plain,(
% 0.22/0.49 ~sP97_prd|sP98_prd|op(e0,e0)=e2),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f966])).
% 0.22/0.49 fof(f971,plain,(
% 0.22/0.49 (~sP98_prd|((op(e0,e0)=e0&~op(e0,e0)=e0)|(op(e0,e0)=e1&~op(e0,e1)=e0)))&(sP98_prd|((~op(e0,e0)=e0|op(e0,e0)=e0)&(~op(e0,e0)=e1|op(e0,e1)=e0)))),
% 0.22/0.49 inference(NNF_transformation,[status(thm)],[f964])).
% 0.22/0.49 fof(f974,plain,(
% 0.22/0.49 ~sP98_prd|~op(e0,e0)=e0|op(e0,e0)=e1),
% 0.22/0.49 inference(cnf_transformation,[status(thm)],[f971])).
% 0.22/0.49 fof(f978,plain,(
% 0.22/0.49 sP0_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f20,f45])).
% 0.22/0.49 fof(f979,plain,(
% 0.22/0.49 sP0_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f978])).
% 0.22/0.49 fof(f984,plain,(
% 0.22/0.49 ~sP0_prd|sP1_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f36,f53])).
% 0.22/0.49 fof(f985,plain,(
% 0.22/0.49 ~sP0_prd|sP1_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f984])).
% 0.22/0.49 fof(f986,plain,(
% 0.22/0.49 sP1_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f985,f979])).
% 0.22/0.49 fof(f993,plain,(
% 0.22/0.49 ~sP1_prd|sP2_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f30,f65])).
% 0.22/0.49 fof(f994,plain,(
% 0.22/0.49 ~sP1_prd|sP2_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f993])).
% 0.22/0.49 fof(f995,plain,(
% 0.22/0.49 sP2_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f994,f986])).
% 0.22/0.49 fof(f1001,plain,(
% 0.22/0.49 ~sP2_prd|sP3_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f37,f74])).
% 0.22/0.49 fof(f1002,plain,(
% 0.22/0.49 ~sP2_prd|sP3_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1001])).
% 0.22/0.49 fof(f1003,plain,(
% 0.22/0.49 sP3_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1002,f995])).
% 0.22/0.49 fof(f1009,plain,(
% 0.22/0.49 ~sP3_prd|sP4_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f25,f84])).
% 0.22/0.49 fof(f1010,plain,(
% 0.22/0.49 ~sP3_prd|sP4_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1009])).
% 0.22/0.49 fof(f1011,plain,(
% 0.22/0.49 sP4_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1010,f1003])).
% 0.22/0.49 fof(f1019,plain,(
% 0.22/0.49 ~sP4_prd|sP5_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f39,f96])).
% 0.22/0.49 fof(f1020,plain,(
% 0.22/0.49 ~sP4_prd|sP5_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1019])).
% 0.22/0.49 fof(f1021,plain,(
% 0.22/0.49 sP5_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1020,f1011])).
% 0.22/0.49 fof(f1029,plain,(
% 0.22/0.49 ~sP5_prd|sP6_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f35,f106])).
% 0.22/0.49 fof(f1030,plain,(
% 0.22/0.49 ~sP5_prd|sP6_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1029])).
% 0.22/0.49 fof(f1031,plain,(
% 0.22/0.49 sP6_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1030,f1021])).
% 0.22/0.49 fof(f1038,plain,(
% 0.22/0.49 ~sP6_prd|sP7_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f38,f115])).
% 0.22/0.49 fof(f1039,plain,(
% 0.22/0.49 ~sP6_prd|sP7_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1038])).
% 0.22/0.49 fof(f1040,plain,(
% 0.22/0.49 sP7_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1039,f1031])).
% 0.22/0.49 fof(f1049,plain,(
% 0.22/0.49 ~sP7_prd|sP8_prd|~e0=e0),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f40,f127])).
% 0.22/0.49 fof(f1050,plain,(
% 0.22/0.49 ~sP7_prd|sP8_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1049])).
% 0.22/0.49 fof(f1051,plain,(
% 0.22/0.49 sP8_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1050,f1040])).
% 0.22/0.49 fof(f1060,plain,(
% 0.22/0.49 ~sP8_prd|sP9_prd|~e0=e0),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f40,f137])).
% 0.22/0.49 fof(f1061,plain,(
% 0.22/0.49 ~sP8_prd|sP9_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1060])).
% 0.22/0.49 fof(f1062,plain,(
% 0.22/0.49 sP9_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1061,f1051])).
% 0.22/0.49 fof(f1068,plain,(
% 0.22/0.49 ~sP9_prd|sP10_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f24,f144])).
% 0.22/0.49 fof(f1069,plain,(
% 0.22/0.49 ~sP9_prd|sP10_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1068])).
% 0.22/0.49 fof(f1070,plain,(
% 0.22/0.49 sP10_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1069,f1062])).
% 0.22/0.49 fof(f1077,plain,(
% 0.22/0.49 ~sP10_prd|sP11_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f33,f155])).
% 0.22/0.49 fof(f1078,plain,(
% 0.22/0.49 ~sP10_prd|sP11_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1077])).
% 0.22/0.49 fof(f1079,plain,(
% 0.22/0.49 sP11_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1078,f1070])).
% 0.22/0.49 fof(f1084,plain,(
% 0.22/0.49 ~sP11_prd|sP12_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f19,f163])).
% 0.22/0.49 fof(f1085,plain,(
% 0.22/0.49 ~sP11_prd|sP12_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1084])).
% 0.22/0.49 fof(f1086,plain,(
% 0.22/0.49 sP12_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1085,f1079])).
% 0.22/0.49 fof(f1091,plain,(
% 0.22/0.49 ~sP12_prd|sP13_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f31,f173])).
% 0.22/0.49 fof(f1092,plain,(
% 0.22/0.49 ~sP12_prd|sP13_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1091])).
% 0.22/0.49 fof(f1093,plain,(
% 0.22/0.49 sP13_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1092,f1086])).
% 0.22/0.49 fof(f1102,plain,(
% 0.22/0.49 ~sP13_prd|sP14_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f39,f187])).
% 0.22/0.49 fof(f1103,plain,(
% 0.22/0.49 ~sP13_prd|sP14_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1102])).
% 0.22/0.49 fof(f1104,plain,(
% 0.22/0.49 sP14_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1103,f1093])).
% 0.22/0.49 fof(f1110,plain,(
% 0.22/0.49 ~sP14_prd|sP15_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f32,f194])).
% 0.22/0.49 fof(f1111,plain,(
% 0.22/0.49 ~sP14_prd|sP15_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1110])).
% 0.22/0.49 fof(f1112,plain,(
% 0.22/0.49 sP15_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1111,f1104])).
% 0.22/0.49 fof(f1119,plain,(
% 0.22/0.49 ~sP15_prd|sP16_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f29,f205])).
% 0.22/0.49 fof(f1120,plain,(
% 0.22/0.49 ~sP15_prd|sP16_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1119])).
% 0.22/0.49 fof(f1121,plain,(
% 0.22/0.49 sP16_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1120,f1112])).
% 0.22/0.49 fof(f1130,plain,(
% 0.22/0.49 ~sP16_prd|sP17_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f35,f217])).
% 0.22/0.49 fof(f1131,plain,(
% 0.22/0.49 ~sP16_prd|sP17_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1130])).
% 0.22/0.49 fof(f1132,plain,(
% 0.22/0.49 sP17_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1131,f1121])).
% 0.22/0.49 fof(f1140,plain,(
% 0.22/0.49 ~sP17_prd|sP18_prd|~e0=e0),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f34,f226])).
% 0.22/0.49 fof(f1141,plain,(
% 0.22/0.49 ~sP17_prd|sP18_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1140])).
% 0.22/0.49 fof(f1142,plain,(
% 0.22/0.49 sP18_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1141,f1132])).
% 0.22/0.49 fof(f1150,plain,(
% 0.22/0.49 ~sP18_prd|sP19_prd|~e0=e0),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f34,f236])).
% 0.22/0.49 fof(f1151,plain,(
% 0.22/0.49 ~sP18_prd|sP19_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1150])).
% 0.22/0.49 fof(f1152,plain,(
% 0.22/0.49 sP19_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1151,f1142])).
% 0.22/0.49 fof(f1160,plain,(
% 0.22/0.49 ~sP19_prd|sP20_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f33,f246])).
% 0.22/0.49 fof(f1161,plain,(
% 0.22/0.49 ~sP19_prd|sP20_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1160])).
% 0.22/0.49 fof(f1162,plain,(
% 0.22/0.49 sP20_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1161,f1152])).
% 0.22/0.49 fof(f1168,plain,(
% 0.22/0.49 ~sP20_prd|sP21_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f27,f254])).
% 0.22/0.49 fof(f1169,plain,(
% 0.22/0.49 ~sP20_prd|sP21_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1168])).
% 0.22/0.49 fof(f1170,plain,(
% 0.22/0.49 sP21_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1169,f1162])).
% 0.22/0.49 fof(f1176,plain,(
% 0.22/0.49 ~sP21_prd|sP22_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f23,f264])).
% 0.22/0.49 fof(f1177,plain,(
% 0.22/0.49 ~sP21_prd|sP22_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1176])).
% 0.22/0.49 fof(f1178,plain,(
% 0.22/0.49 sP22_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1177,f1170])).
% 0.22/0.49 fof(f1187,plain,(
% 0.22/0.49 ~sP22_prd|sP23_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f30,f277])).
% 0.22/0.49 fof(f1188,plain,(
% 0.22/0.49 ~sP22_prd|sP23_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1187])).
% 0.22/0.49 fof(f1189,plain,(
% 0.22/0.49 sP23_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1188,f1178])).
% 0.22/0.49 fof(f1194,plain,(
% 0.22/0.49 ~sP23_prd|sP24_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f18,f283])).
% 0.22/0.49 fof(f1195,plain,(
% 0.22/0.49 ~sP23_prd|sP24_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1194])).
% 0.22/0.49 fof(f1196,plain,(
% 0.22/0.49 sP24_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1195,f1189])).
% 0.22/0.49 fof(f1201,plain,(
% 0.22/0.49 ~sP24_prd|sP25_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f26,f293])).
% 0.22/0.49 fof(f1202,plain,(
% 0.22/0.49 ~sP24_prd|sP25_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1201])).
% 0.22/0.49 fof(f1203,plain,(
% 0.22/0.49 sP25_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1202,f1196])).
% 0.22/0.49 fof(f1212,plain,(
% 0.22/0.49 ~sP25_prd|sP26_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f38,f307])).
% 0.22/0.49 fof(f1213,plain,(
% 0.22/0.49 ~sP25_prd|sP26_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1212])).
% 0.22/0.49 fof(f1214,plain,(
% 0.22/0.49 sP26_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1213,f1203])).
% 0.22/0.49 fof(f1222,plain,(
% 0.22/0.49 ~sP26_prd|sP27_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f29,f316])).
% 0.22/0.49 fof(f1223,plain,(
% 0.22/0.49 ~sP26_prd|sP27_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1222])).
% 0.22/0.49 fof(f1224,plain,(
% 0.22/0.49 sP27_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1223,f1214])).
% 0.22/0.49 fof(f1231,plain,(
% 0.22/0.49 ~sP27_prd|sP28_prd|~e0=e0),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f28,f325])).
% 0.22/0.49 fof(f1232,plain,(
% 0.22/0.49 ~sP27_prd|sP28_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1231])).
% 0.22/0.49 fof(f1233,plain,(
% 0.22/0.49 sP28_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1232,f1224])).
% 0.22/0.49 fof(f1240,plain,(
% 0.22/0.49 ~sP28_prd|sP29_prd|~e0=e0),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f28,f335])).
% 0.22/0.49 fof(f1241,plain,(
% 0.22/0.49 ~sP28_prd|sP29_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1240])).
% 0.22/0.49 fof(f1242,plain,(
% 0.22/0.49 sP29_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1241,f1233])).
% 0.22/0.49 fof(f1249,plain,(
% 0.22/0.49 ~sP29_prd|sP30_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f27,f345])).
% 0.22/0.49 fof(f1250,plain,(
% 0.22/0.49 ~sP29_prd|sP30_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1249])).
% 0.22/0.49 fof(f1251,plain,(
% 0.22/0.49 sP30_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1250,f1242])).
% 0.22/0.49 fof(f1259,plain,(
% 0.22/0.49 ~sP30_prd|sP31_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f24,f356])).
% 0.22/0.49 fof(f1260,plain,(
% 0.22/0.49 ~sP30_prd|sP31_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1259])).
% 0.22/0.49 fof(f1261,plain,(
% 0.22/0.49 sP31_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1260,f1251])).
% 0.22/0.49 fof(f1270,plain,(
% 0.22/0.49 ~sP31_prd|sP32_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f37,f367])).
% 0.22/0.49 fof(f1271,plain,(
% 0.22/0.49 ~sP31_prd|sP32_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1270])).
% 0.22/0.49 fof(f1272,plain,(
% 0.22/0.49 sP32_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1271,f1261])).
% 0.22/0.49 fof(f1279,plain,(
% 0.22/0.49 ~sP32_prd|sP33_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f23,f375])).
% 0.22/0.49 fof(f1280,plain,(
% 0.22/0.49 ~sP32_prd|sP33_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1279])).
% 0.22/0.49 fof(f1281,plain,(
% 0.22/0.49 sP33_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1280,f1272])).
% 0.22/0.49 fof(f1289,plain,(
% 0.22/0.49 ~sP33_prd|sP34_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f32,f386])).
% 0.22/0.49 fof(f1290,plain,(
% 0.22/0.49 ~sP33_prd|sP34_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1289])).
% 0.22/0.49 fof(f1291,plain,(
% 0.22/0.49 sP34_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1290,f1281])).
% 0.22/0.49 fof(f1300,plain,(
% 0.22/0.49 ~sP34_prd|sP35_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f25,f397])).
% 0.22/0.49 fof(f1301,plain,(
% 0.22/0.49 ~sP34_prd|sP35_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1300])).
% 0.22/0.49 fof(f1302,plain,(
% 0.22/0.49 sP35_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1301,f1291])).
% 0.22/0.49 fof(f1307,plain,(
% 0.22/0.49 ~sP35_prd|sP36_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f17,f403])).
% 0.22/0.49 fof(f1308,plain,(
% 0.22/0.49 ~sP35_prd|sP36_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1307])).
% 0.22/0.49 fof(f1309,plain,(
% 0.22/0.49 sP36_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1308,f1302])).
% 0.22/0.49 fof(f1314,plain,(
% 0.22/0.49 ~sP36_prd|sP37_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f21,f413])).
% 0.22/0.49 fof(f1315,plain,(
% 0.22/0.49 ~sP36_prd|sP37_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1314])).
% 0.22/0.49 fof(f1316,plain,(
% 0.22/0.49 sP37_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1315,f1309])).
% 0.22/0.49 fof(f1322,plain,(
% 0.22/0.49 ~sP37_prd|sP38_prd|~e0=e0),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f22,f424])).
% 0.22/0.49 fof(f1323,plain,(
% 0.22/0.49 ~sP37_prd|sP38_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1322])).
% 0.22/0.49 fof(f1324,plain,(
% 0.22/0.49 sP38_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1323,f1316])).
% 0.22/0.49 fof(f1330,plain,(
% 0.22/0.49 ~sP38_prd|sP39_prd|~e0=e0),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f22,f434])).
% 0.22/0.49 fof(f1331,plain,(
% 0.22/0.49 ~sP38_prd|sP39_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1330])).
% 0.22/0.49 fof(f1332,plain,(
% 0.22/0.49 sP39_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1331,f1324])).
% 0.22/0.49 fof(f1341,plain,(
% 0.22/0.49 ~sP39_prd|sP40_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f36,f447])).
% 0.22/0.49 fof(f1342,plain,(
% 0.22/0.49 ~sP39_prd|sP40_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1341])).
% 0.22/0.49 fof(f1343,plain,(
% 0.22/0.49 sP40_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1342,f1332])).
% 0.22/0.49 fof(f1352,plain,(
% 0.22/0.49 ~sP40_prd|sP41_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f20,f457])).
% 0.22/0.49 fof(f1353,plain,(
% 0.22/0.49 ~sP40_prd|sP41_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1352])).
% 0.22/0.49 fof(f1354,plain,(
% 0.22/0.49 sP41_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1353,f1343])).
% 0.22/0.49 fof(f1362,plain,(
% 0.22/0.49 ~sP41_prd|sP42_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f31,f466])).
% 0.22/0.49 fof(f1363,plain,(
% 0.22/0.49 ~sP41_prd|sP42_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1362])).
% 0.22/0.49 fof(f1364,plain,(
% 0.22/0.49 sP42_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1363,f1354])).
% 0.22/0.49 fof(f1372,plain,(
% 0.22/0.49 ~sP42_prd|sP43_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f19,f476])).
% 0.22/0.49 fof(f1373,plain,(
% 0.22/0.49 ~sP42_prd|sP43_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1372])).
% 0.22/0.49 fof(f1374,plain,(
% 0.22/0.49 sP43_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1373,f1364])).
% 0.22/0.49 fof(f1381,plain,(
% 0.22/0.49 ~sP43_prd|sP44_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f26,f485])).
% 0.22/0.49 fof(f1382,plain,(
% 0.22/0.49 ~sP43_prd|sP44_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1381])).
% 0.22/0.49 fof(f1383,plain,(
% 0.22/0.49 sP44_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1382,f1374])).
% 0.22/0.49 fof(f1390,plain,(
% 0.22/0.49 ~sP44_prd|sP45_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f18,f495])).
% 0.22/0.49 fof(f1391,plain,(
% 0.22/0.49 ~sP44_prd|sP45_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1390])).
% 0.22/0.49 fof(f1392,plain,(
% 0.22/0.49 sP45_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1391,f1383])).
% 0.22/0.49 fof(f1398,plain,(
% 0.22/0.49 ~sP45_prd|sP46_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f21,f504])).
% 0.22/0.49 fof(f1399,plain,(
% 0.22/0.49 ~sP45_prd|sP46_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1398])).
% 0.22/0.49 fof(f1400,plain,(
% 0.22/0.49 sP46_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1399,f1392])).
% 0.22/0.49 fof(f1406,plain,(
% 0.22/0.49 ~sP46_prd|sP47_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f17,f514])).
% 0.22/0.49 fof(f1407,plain,(
% 0.22/0.49 ~sP46_prd|sP47_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1406])).
% 0.22/0.49 fof(f1408,plain,(
% 0.22/0.49 sP47_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1407,f1400])).
% 0.22/0.49 fof(f1413,plain,(
% 0.22/0.49 ~sP47_prd|sP48_prd|~e0=e0),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f16,f523])).
% 0.22/0.49 fof(f1414,plain,(
% 0.22/0.49 ~sP47_prd|sP48_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1413])).
% 0.22/0.49 fof(f1415,plain,(
% 0.22/0.49 sP48_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1414,f1408])).
% 0.22/0.49 fof(f1420,plain,(
% 0.22/0.49 ~sP48_prd|sP49_prd|~e0=e0),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f16,f533])).
% 0.22/0.49 fof(f1421,plain,(
% 0.22/0.49 ~sP48_prd|sP49_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1420])).
% 0.22/0.49 fof(f1422,plain,(
% 0.22/0.49 sP49_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1421,f1415])).
% 0.22/0.49 fof(f1427,plain,(
% 0.22/0.49 ~sP49_prd|sP50_prd|~e0=e0),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f41,f543])).
% 0.22/0.49 fof(f1428,plain,(
% 0.22/0.49 ~sP49_prd|sP50_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1427])).
% 0.22/0.49 fof(f1429,plain,(
% 0.22/0.49 sP50_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1428,f1422])).
% 0.22/0.49 fof(f1434,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~op(unit,e0)=e0|~op(e0,unit)=e0|~op(unit,e1)=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f40,f553])).
% 0.22/0.49 fof(f1435,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~op(e0,e0)=e0|~op(e0,unit)=e0|~op(unit,e1)=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f41,f1434])).
% 0.22/0.49 fof(f1436,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~op(e0,unit)=e0|~op(unit,e1)=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f16,f1435])).
% 0.22/0.49 fof(f1437,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~op(e0,e0)=e0|~op(unit,e1)=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f41,f1436])).
% 0.22/0.49 fof(f1438,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~op(unit,e1)=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f16,f1437])).
% 0.22/0.49 fof(f1439,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~op(e0,e1)=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f41,f1438])).
% 0.22/0.49 fof(f1440,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f17,f1439])).
% 0.22/0.49 fof(f1441,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~op(e1,e0)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f41,f1440])).
% 0.22/0.49 fof(f1442,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f21,f1441])).
% 0.22/0.49 fof(f1443,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~op(e0,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f41,f1442])).
% 0.22/0.49 fof(f1444,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f18,f1443])).
% 0.22/0.49 fof(f1445,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~op(e2,e0)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f41,f1444])).
% 0.22/0.49 fof(f1446,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f26,f1445])).
% 0.22/0.49 fof(f1447,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~op(e0,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f41,f1446])).
% 0.22/0.49 fof(f1448,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f19,f1447])).
% 0.22/0.49 fof(f1449,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~op(e3,e0)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f41,f1448])).
% 0.22/0.49 fof(f1450,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f31,f1449])).
% 0.22/0.49 fof(f1451,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~op(e0,e4)=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f41,f1450])).
% 0.22/0.49 fof(f1452,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e4=e4|~op(e4,unit)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f20,f1451])).
% 0.22/0.49 fof(f1453,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e4=e4|~op(e4,e0)=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f41,f1452])).
% 0.22/0.49 fof(f1454,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e4=e4|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f36,f1453])).
% 0.22/0.49 fof(f1455,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd|~e0=e0|~e1=e1|~e2=e2|~e3=e3|~e4=e4),
% 0.22/0.49 inference(duplicate_literals_removal,[status(thm)],[f1454])).
% 0.22/0.49 fof(f1456,plain,(
% 0.22/0.49 ~sP50_prd|sP51_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1455])).
% 0.22/0.49 fof(f1457,plain,(
% 0.22/0.49 sP51_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1456,f1429])).
% 0.22/0.49 fof(f1562,plain,(
% 0.22/0.49 ~sP51_prd|sP52_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f39,f575])).
% 0.22/0.49 fof(f1563,plain,(
% 0.22/0.49 ~sP51_prd|sP52_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1562])).
% 0.22/0.49 fof(f1564,plain,(
% 0.22/0.49 sP52_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1563,f1457])).
% 0.22/0.49 fof(f1570,plain,(
% 0.22/0.49 ~sP52_prd|sP53_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f38,f584])).
% 0.22/0.49 fof(f1571,plain,(
% 0.22/0.49 ~sP52_prd|sP53_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1570])).
% 0.22/0.49 fof(f1572,plain,(
% 0.22/0.49 sP53_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1571,f1564])).
% 0.22/0.49 fof(f1580,plain,(
% 0.22/0.49 ~sP53_prd|sP54_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f37,f596])).
% 0.22/0.49 fof(f1581,plain,(
% 0.22/0.49 ~sP53_prd|sP54_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1580])).
% 0.22/0.49 fof(f1582,plain,(
% 0.22/0.49 sP54_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1581,f1572])).
% 0.22/0.49 fof(f1591,plain,(
% 0.22/0.49 ~sP54_prd|sP55_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f36,f607])).
% 0.22/0.49 fof(f1592,plain,(
% 0.22/0.49 ~sP54_prd|sP55_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1591])).
% 0.22/0.49 fof(f1593,plain,(
% 0.22/0.49 sP55_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1592,f1582])).
% 0.22/0.49 fof(f1599,plain,(
% 0.22/0.49 ~sP55_prd|sP56_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f35,f614])).
% 0.22/0.49 fof(f1600,plain,(
% 0.22/0.49 ~sP55_prd|sP56_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1599])).
% 0.22/0.49 fof(f1601,plain,(
% 0.22/0.49 sP56_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1600,f1593])).
% 0.22/0.49 fof(f1606,plain,(
% 0.22/0.49 ~sP56_prd|sP57_prd|~e0=e0),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f34,f623])).
% 0.22/0.49 fof(f1607,plain,(
% 0.22/0.49 ~sP56_prd|sP57_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1606])).
% 0.22/0.49 fof(f1608,plain,(
% 0.22/0.49 sP57_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1607,f1601])).
% 0.22/0.49 fof(f1617,plain,(
% 0.22/0.49 ~sP57_prd|sP58_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f33,f637])).
% 0.22/0.49 fof(f1618,plain,(
% 0.22/0.49 ~sP57_prd|sP58_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1617])).
% 0.22/0.49 fof(f1619,plain,(
% 0.22/0.49 sP58_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1618,f1608])).
% 0.22/0.49 fof(f1626,plain,(
% 0.22/0.49 ~sP58_prd|sP59_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f32,f645])).
% 0.22/0.49 fof(f1627,plain,(
% 0.22/0.49 ~sP58_prd|sP59_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1626])).
% 0.22/0.49 fof(f1628,plain,(
% 0.22/0.49 sP59_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1627,f1619])).
% 0.22/0.49 fof(f1636,plain,(
% 0.22/0.49 ~sP59_prd|sP60_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f31,f656])).
% 0.22/0.49 fof(f1637,plain,(
% 0.22/0.49 ~sP59_prd|sP60_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1636])).
% 0.22/0.49 fof(f1638,plain,(
% 0.22/0.49 sP60_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1637,f1628])).
% 0.22/0.49 fof(f1646,plain,(
% 0.22/0.49 ~sP60_prd|sP61_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f30,f666])).
% 0.22/0.49 fof(f1647,plain,(
% 0.22/0.49 ~sP60_prd|sP61_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1646])).
% 0.22/0.49 fof(f1648,plain,(
% 0.22/0.49 sP61_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1647,f1638])).
% 0.22/0.49 fof(f1654,plain,(
% 0.22/0.49 ~sP61_prd|sP62_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f29,f674])).
% 0.22/0.49 fof(f1655,plain,(
% 0.22/0.49 ~sP61_prd|sP62_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1654])).
% 0.22/0.49 fof(f1656,plain,(
% 0.22/0.49 sP62_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1655,f1648])).
% 0.22/0.49 fof(f1661,plain,(
% 0.22/0.49 ~sP62_prd|sP63_prd|~e0=e0),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f28,f683])).
% 0.22/0.49 fof(f1662,plain,(
% 0.22/0.49 ~sP62_prd|sP63_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1661])).
% 0.22/0.49 fof(f1663,plain,(
% 0.22/0.49 sP63_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1662,f1656])).
% 0.22/0.49 fof(f1672,plain,(
% 0.22/0.49 ~sP63_prd|sP64_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f27,f697])).
% 0.22/0.49 fof(f1673,plain,(
% 0.22/0.49 ~sP63_prd|sP64_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1672])).
% 0.22/0.49 fof(f1674,plain,(
% 0.22/0.49 sP64_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1673,f1663])).
% 0.22/0.49 fof(f1681,plain,(
% 0.22/0.49 ~sP64_prd|sP65_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f26,f705])).
% 0.22/0.49 fof(f1682,plain,(
% 0.22/0.49 ~sP64_prd|sP65_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1681])).
% 0.22/0.49 fof(f1683,plain,(
% 0.22/0.49 sP65_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1682,f1674])).
% 0.22/0.49 fof(f1690,plain,(
% 0.22/0.49 ~sP65_prd|sP66_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f25,f715])).
% 0.22/0.49 fof(f1691,plain,(
% 0.22/0.49 ~sP65_prd|sP66_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1690])).
% 0.22/0.49 fof(f1692,plain,(
% 0.22/0.49 sP66_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1691,f1683])).
% 0.22/0.49 fof(f1701,plain,(
% 0.22/0.49 ~sP66_prd|sP67_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f24,f727])).
% 0.22/0.49 fof(f1702,plain,(
% 0.22/0.49 ~sP66_prd|sP67_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1701])).
% 0.22/0.49 fof(f1703,plain,(
% 0.22/0.49 sP67_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1702,f1692])).
% 0.22/0.49 fof(f1711,plain,(
% 0.22/0.49 ~sP67_prd|sP68_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f23,f736])).
% 0.22/0.49 fof(f1712,plain,(
% 0.22/0.49 ~sP67_prd|sP68_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1711])).
% 0.22/0.49 fof(f1713,plain,(
% 0.22/0.49 sP68_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1712,f1703])).
% 0.22/0.49 fof(f1718,plain,(
% 0.22/0.49 ~sP68_prd|sP69_prd|~e0=e0),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f22,f743])).
% 0.22/0.49 fof(f1719,plain,(
% 0.22/0.49 ~sP68_prd|sP69_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1718])).
% 0.22/0.49 fof(f1720,plain,(
% 0.22/0.49 sP69_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1719,f1713])).
% 0.22/0.49 fof(f1726,plain,(
% 0.22/0.49 ~sP69_prd|sP70_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f21,f754])).
% 0.22/0.49 fof(f1727,plain,(
% 0.22/0.49 ~sP69_prd|sP70_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1726])).
% 0.22/0.49 fof(f1728,plain,(
% 0.22/0.49 sP70_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1727,f1720])).
% 0.22/0.49 fof(f1737,plain,(
% 0.22/0.49 ~sP70_prd|sP71_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f20,f767])).
% 0.22/0.49 fof(f1738,plain,(
% 0.22/0.49 ~sP70_prd|sP71_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1737])).
% 0.22/0.49 fof(f1739,plain,(
% 0.22/0.49 sP71_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1738,f1728])).
% 0.22/0.49 fof(f1747,plain,(
% 0.22/0.49 ~sP71_prd|sP72_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f19,f776])).
% 0.22/0.49 fof(f1748,plain,(
% 0.22/0.49 ~sP71_prd|sP72_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1747])).
% 0.22/0.49 fof(f1749,plain,(
% 0.22/0.49 sP72_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1748,f1739])).
% 0.22/0.49 fof(f1756,plain,(
% 0.22/0.49 ~sP72_prd|sP73_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f18,f785])).
% 0.22/0.49 fof(f1757,plain,(
% 0.22/0.49 ~sP72_prd|sP73_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1756])).
% 0.22/0.49 fof(f1758,plain,(
% 0.22/0.49 sP73_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1757,f1749])).
% 0.22/0.49 fof(f1764,plain,(
% 0.22/0.49 ~sP73_prd|sP74_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f17,f794])).
% 0.22/0.49 fof(f1765,plain,(
% 0.22/0.49 ~sP73_prd|sP74_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1764])).
% 0.22/0.49 fof(f1766,plain,(
% 0.22/0.49 sP74_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1765,f1758])).
% 0.22/0.49 fof(f1771,plain,(
% 0.22/0.49 ~sP74_prd|sP75_prd|~e0=e0),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f16,f803])).
% 0.22/0.49 fof(f1772,plain,(
% 0.22/0.49 ~sP74_prd|sP75_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1771])).
% 0.22/0.49 fof(f1773,plain,(
% 0.22/0.49 sP75_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1772,f1766])).
% 0.22/0.49 fof(f1778,plain,(
% 0.22/0.49 ~sP75_prd|sP76_prd|e0=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f40,f813])).
% 0.22/0.49 fof(f1779,plain,(
% 0.22/0.49 sP76_prd|e0=e4),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1778,f1773])).
% 0.22/0.49 fof(f1781,plain,(
% 0.22/0.49 ~sP76_prd|sP77_prd|e0=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f40,f820])).
% 0.22/0.49 fof(f1782,plain,(
% 0.22/0.49 ~sP76_prd|sP77_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1781,f8])).
% 0.22/0.49 fof(f1786,plain,(
% 0.22/0.49 ~sP77_prd|sP78_prd|e0=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f40,f827])).
% 0.22/0.49 fof(f1787,plain,(
% 0.22/0.49 ~sP77_prd|sP78_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1786,f7])).
% 0.22/0.49 fof(f1791,plain,(
% 0.22/0.49 ~sP78_prd|sP79_prd|e0=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f40,f834])).
% 0.22/0.49 fof(f1792,plain,(
% 0.22/0.49 ~sP78_prd|sP79_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1791,f6])).
% 0.22/0.49 fof(f1796,plain,(
% 0.22/0.49 ~sP79_prd|sP80_prd|~e4=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f36,f842])).
% 0.22/0.49 fof(f1797,plain,(
% 0.22/0.49 ~sP79_prd|sP80_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1796])).
% 0.22/0.49 fof(f1799,plain,(
% 0.22/0.49 ~sP80_prd|sP81_prd|e0=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f34,f848])).
% 0.22/0.49 fof(f1800,plain,(
% 0.22/0.49 ~sP80_prd|sP81_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1799,f9])).
% 0.22/0.49 fof(f1804,plain,(
% 0.22/0.49 ~sP81_prd|sP82_prd|e0=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f34,f855])).
% 0.22/0.49 fof(f1805,plain,(
% 0.22/0.49 ~sP81_prd|sP82_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1804,f8])).
% 0.22/0.49 fof(f1807,plain,(
% 0.22/0.49 ~sP82_prd|sP83_prd|e0=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f34,f862])).
% 0.22/0.49 fof(f1808,plain,(
% 0.22/0.49 ~sP82_prd|sP83_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1807,f7])).
% 0.22/0.49 fof(f1812,plain,(
% 0.22/0.49 ~sP83_prd|sP84_prd|e0=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f34,f869])).
% 0.22/0.49 fof(f1813,plain,(
% 0.22/0.49 ~sP83_prd|sP84_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1812,f6])).
% 0.22/0.49 fof(f1817,plain,(
% 0.22/0.49 ~sP84_prd|sP85_prd|~e3=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f31,f877])).
% 0.22/0.49 fof(f1818,plain,(
% 0.22/0.49 ~sP84_prd|sP85_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1817])).
% 0.22/0.49 fof(f1820,plain,(
% 0.22/0.49 ~sP85_prd|sP86_prd|e0=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f28,f883])).
% 0.22/0.49 fof(f1821,plain,(
% 0.22/0.49 ~sP85_prd|sP86_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1820,f9])).
% 0.22/0.49 fof(f1825,plain,(
% 0.22/0.49 ~sP86_prd|sP87_prd|e0=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f28,f890])).
% 0.22/0.49 fof(f1826,plain,(
% 0.22/0.49 ~sP86_prd|sP87_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1825,f8])).
% 0.22/0.49 fof(f1830,plain,(
% 0.22/0.49 ~sP87_prd|sP88_prd|e0=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f28,f897])).
% 0.22/0.49 fof(f1831,plain,(
% 0.22/0.49 ~sP87_prd|sP88_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1830,f7])).
% 0.22/0.49 fof(f1833,plain,(
% 0.22/0.49 ~sP88_prd|sP89_prd|e0=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f28,f904])).
% 0.22/0.49 fof(f1834,plain,(
% 0.22/0.49 ~sP88_prd|sP89_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1833,f6])).
% 0.22/0.49 fof(f1838,plain,(
% 0.22/0.49 ~sP89_prd|sP90_prd|~e2=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f26,f912])).
% 0.22/0.49 fof(f1839,plain,(
% 0.22/0.49 ~sP89_prd|sP90_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1838])).
% 0.22/0.49 fof(f1841,plain,(
% 0.22/0.49 ~sP90_prd|sP91_prd|e0=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f22,f918])).
% 0.22/0.49 fof(f1842,plain,(
% 0.22/0.49 ~sP90_prd|sP91_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1841,f9])).
% 0.22/0.49 fof(f1846,plain,(
% 0.22/0.49 ~sP91_prd|sP92_prd|e0=e3),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f22,f925])).
% 0.22/0.49 fof(f1847,plain,(
% 0.22/0.49 ~sP91_prd|sP92_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1846,f8])).
% 0.22/0.49 fof(f1851,plain,(
% 0.22/0.49 ~sP92_prd|sP93_prd|e0=e2),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f22,f932])).
% 0.22/0.49 fof(f1852,plain,(
% 0.22/0.49 ~sP92_prd|sP93_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1851,f7])).
% 0.22/0.49 fof(f1856,plain,(
% 0.22/0.49 ~sP93_prd|sP94_prd|e0=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f22,f939])).
% 0.22/0.49 fof(f1857,plain,(
% 0.22/0.49 ~sP93_prd|sP94_prd),
% 0.22/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1856,f6])).
% 0.22/0.49 fof(f1859,plain,(
% 0.22/0.49 ~sP94_prd|sP95_prd|~e1=e1),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f21,f947])).
% 0.22/0.49 fof(f1860,plain,(
% 0.22/0.49 ~sP94_prd|sP95_prd),
% 0.22/0.49 inference(trivial_equality_resolution,[status(thm)],[f1859])).
% 0.22/0.49 fof(f1862,plain,(
% 0.22/0.49 ~sP95_prd|sP96_prd|e0=e4),
% 0.22/0.49 inference(forward_demodulation,[status(thm)],[f16,f953])).
% 0.22/0.49 fof(f1863,plain,(
% 0.22/0.50 ~sP95_prd|sP96_prd),
% 0.22/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1862,f9])).
% 0.22/0.50 fof(f1866,plain,(
% 0.22/0.50 ~sP96_prd|sP97_prd|e0=e3),
% 0.22/0.50 inference(forward_demodulation,[status(thm)],[f16,f960])).
% 0.22/0.50 fof(f1867,plain,(
% 0.22/0.50 ~sP96_prd|sP97_prd),
% 0.22/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1866,f8])).
% 0.22/0.50 fof(f1870,plain,(
% 0.22/0.50 ~sP97_prd|sP98_prd|e0=e2),
% 0.22/0.50 inference(forward_demodulation,[status(thm)],[f16,f967])).
% 0.22/0.50 fof(f1871,plain,(
% 0.22/0.50 ~sP97_prd|sP98_prd),
% 0.22/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1870,f7])).
% 0.22/0.50 fof(f1874,plain,(
% 0.22/0.50 ~sP98_prd|~e0=e0|op(e0,e0)=e1),
% 0.22/0.50 inference(forward_demodulation,[status(thm)],[f16,f974])).
% 0.22/0.50 fof(f1875,plain,(
% 0.22/0.50 ~sP98_prd|~e0=e0|e0=e1),
% 0.22/0.50 inference(forward_demodulation,[status(thm)],[f16,f1874])).
% 0.22/0.50 fof(f1876,plain,(
% 0.22/0.50 ~sP98_prd|e0=e1),
% 0.22/0.50 inference(trivial_equality_resolution,[status(thm)],[f1875])).
% 0.22/0.50 fof(f1877,plain,(
% 0.22/0.50 ~sP97_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1871,f1878])).
% 0.22/0.50 fof(f1878,plain,(
% 0.22/0.50 ~sP98_prd),
% 0.22/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1876,f6])).
% 0.22/0.50 fof(f1883,plain,(
% 0.22/0.50 ~sP96_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1867,f1877])).
% 0.22/0.50 fof(f1884,plain,(
% 0.22/0.50 ~sP95_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1863,f1883])).
% 0.22/0.50 fof(f1885,plain,(
% 0.22/0.50 ~sP94_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1860,f1884])).
% 0.22/0.50 fof(f1886,plain,(
% 0.22/0.50 ~sP93_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1857,f1885])).
% 0.22/0.50 fof(f1887,plain,(
% 0.22/0.50 ~sP92_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1852,f1886])).
% 0.22/0.50 fof(f1888,plain,(
% 0.22/0.50 ~sP91_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1847,f1887])).
% 0.22/0.50 fof(f1889,plain,(
% 0.22/0.50 ~sP90_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1842,f1888])).
% 0.22/0.50 fof(f1890,plain,(
% 0.22/0.50 ~sP89_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1839,f1889])).
% 0.22/0.50 fof(f1891,plain,(
% 0.22/0.50 ~sP88_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1834,f1890])).
% 0.22/0.50 fof(f1892,plain,(
% 0.22/0.50 ~sP87_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1831,f1891])).
% 0.22/0.50 fof(f1893,plain,(
% 0.22/0.50 ~sP86_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1826,f1892])).
% 0.22/0.50 fof(f1894,plain,(
% 0.22/0.50 ~sP85_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1821,f1893])).
% 0.22/0.50 fof(f1895,plain,(
% 0.22/0.50 ~sP84_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1818,f1894])).
% 0.22/0.50 fof(f1896,plain,(
% 0.22/0.50 ~sP83_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1813,f1895])).
% 0.22/0.50 fof(f1897,plain,(
% 0.22/0.50 ~sP82_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1808,f1896])).
% 0.22/0.50 fof(f1898,plain,(
% 0.22/0.50 ~sP81_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1805,f1897])).
% 0.22/0.50 fof(f1899,plain,(
% 0.22/0.50 ~sP80_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1800,f1898])).
% 0.22/0.50 fof(f1900,plain,(
% 0.22/0.50 ~sP79_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1797,f1899])).
% 0.22/0.50 fof(f1901,plain,(
% 0.22/0.50 ~sP78_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1792,f1900])).
% 0.22/0.50 fof(f1902,plain,(
% 0.22/0.50 ~sP77_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1787,f1901])).
% 0.22/0.50 fof(f1903,plain,(
% 0.22/0.50 ~sP76_prd),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1782,f1902])).
% 0.22/0.50 fof(f1904,plain,(
% 0.22/0.50 e0=e4),
% 0.22/0.50 inference(backward_subsumption_resolution,[status(thm)],[f1779,f1903])).
% 0.22/0.50 fof(f1905,plain,(
% 0.22/0.50 $false),
% 0.22/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1904,f9])).
% 0.22/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.51 % Elapsed time: 0.138957 seconds
% 0.22/0.51 % CPU time: 0.267474 seconds
% 0.22/0.51 % Total memory used: 73.269 MB
% 0.22/0.51 % Net memory used: 72.899 MB
%------------------------------------------------------------------------------