Drodi-SAT---4.1.1.THM-Ass.s

%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : ALG044+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 11:49:30 AM UTC 2026

% Result   : Theorem 0.09s 0.43s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG044+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37  % Computer : n006.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 21 12:54:13 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.41  % Drodi V4.1.1
% 0.09/0.43  % Refutation found
% 0.09/0.43  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.43  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.43  fof(f1,axiom,(
% 0.09/0.43    ( e0 != e1& e0 != e2& e0 != e3& e1 != e2& e1 != e3& e2 != e3 ) ),
% 0.09/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43  fof(f2,axiom,(
% 0.09/0.43    ( op(e0,e0) = e0& op(e0,e1) = e1& op(e0,e2) = e2& op(e0,e3) = e3& op(e1,e0) = e1& op(e1,e1) = e3& op(e1,e2) = e0& op(e1,e3) = e2& op(e2,e0) = e2& op(e2,e1) = e0& op(e2,e2) = e3& op(e2,e3) = e1& op(e3,e0) = e3& op(e3,e1) = e2& op(e3,e2) = e1& op(e3,e3) = e0 ) ),
% 0.09/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43  fof(f3,axiom,(
% 0.09/0.43    unit = e0 ),
% 0.09/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43  fof(f4,conjecture,(
% 0.09/0.43    ( ~ ( ( op(e0,e0) = e0& op(e1,e1) = e0& op(e2,e2) = e0& op(e3,e3) = e0 )| ( op(e0,e0) = e1& op(e1,e1) = e1& op(e2,e2) = e1& op(e3,e3) = e1 )| ( op(e0,e0) = e2& op(e1,e1) = e2& op(e2,e2) = e2& op(e3,e3) = e2 )| ( op(e0,e0) = e3& op(e1,e1) = e3& op(e2,e2) = e3& op(e3,e3) = e3 ) )& ( op(e0,e0) = e0| op(e0,e0) = e1| op(e0,e0) = e2| op(e0,e0) = e3 )& ( op(e0,e1) = e0| op(e0,e1) = e1| op(e0,e1) = e2| op(e0,e1) = e3 )& ( op(e0,e2) = e0| op(e0,e2) = e1| op(e0,e2) = e2| op(e0,e2) = e3 )& ( op(e0,e3) = e0| op(e0,e3) = e1| op(e0,e3) = e2| op(e0,e3) = e3 )& ( op(e1,e0) = e0| op(e1,e0) = e1| op(e1,e0) = e2| op(e1,e0) = e3 )& ( op(e1,e1) = e0| op(e1,e1) = e1| op(e1,e1) = e2| op(e1,e1) = e3 )& ( op(e1,e2) = e0| op(e1,e2) = e1| op(e1,e2) = e2| op(e1,e2) = e3 )& ( op(e1,e3) = e0| op(e1,e3) = e1| op(e1,e3) = e2| op(e1,e3) = e3 )& ( op(e2,e0) = e0| op(e2,e0) = e1| op(e2,e0) = e2| op(e2,e0) = e3 )& ( op(e2,e1) = e0| op(e2,e1) = e1| op(e2,e1) = e2| op(e2,e1) = e3 )& ( op(e2,e2) = e0| op(e2,e2) = e1| op(e2,e2) = e2| op(e2,e2) = e3 )& ( op(e2,e3) = e0| op(e2,e3) = e1| op(e2,e3) = e2| op(e2,e3) = e3 )& ( op(e3,e0) = e0| op(e3,e0) = e1| op(e3,e0) = e2| op(e3,e0) = e3 )& ( op(e3,e1) = e0| op(e3,e1) = e1| op(e3,e1) = e2| op(e3,e1) = e3 )& ( op(e3,e2) = e0| op(e3,e2) = e1| op(e3,e2) = e2| op(e3,e2) = e3 )& ( op(e3,e3) = e0| op(e3,e3) = e1| op(e3,e3) = e2| op(e3,e3) = e3 )& 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& ( unit = e0| unit = e1| unit = e2| unit = e3 )& ( op(e0,e0) = e0| op(e0,e1) = e0| op(e0,e2) = e0| op(e0,e3) = e0 )& ( op(e0,e0) = e0| op(e1,e0) = e0| op(e2,e0) = e0| op(e3,e0) = e0 )& ( op(e0,e0) = e1| op(e0,e1) = e1| op(e0,e2) = e1| op(e0,e3) = e1 )& ( op(e0,e0) = e1| op(e1,e0) = e1| op(e2,e0) = e1| op(e3,e0) = e1 )& ( op(e0,e0) = e2| op(e0,e1) = e2| op(e0,e2) = e2| op(e0,e3) = e2 )& ( op(e0,e0) = e2| op(e1,e0) = e2| op(e2,e0) = e2| op(e3,e0) = e2 )& ( op(e0,e0) = e3| op(e0,e1) = e3| op(e0,e2) = e3| op(e0,e3) = e3 )& ( op(e0,e0) = e3| op(e1,e0) = e3| op(e2,e0) = e3| op(e3,e0) = e3 )& ( op(e1,e0) = e0| op(e1,e1) = e0| op(e1,e2) = e0| op(e1,e3) = e0 )& ( op(e0,e1) = e0| op(e1,e1) = e0| op(e2,e1) = e0| op(e3,e1) = e0 )& ( op(e1,e0) = e1| op(e1,e1) = e1| op(e1,e2) = e1| op(e1,e3) = e1 )& ( op(e0,e1) = e1| op(e1,e1) = e1| op(e2,e1) = e1| op(e3,e1) = e1 )& ( op(e1,e0) = e2| op(e1,e1) = e2| op(e1,e2) = e2| op(e1,e3) = e2 )& ( op(e0,e1) = e2| op(e1,e1) = e2| op(e2,e1) = e2| op(e3,e1) = e2 )& ( op(e1,e0) = e3| op(e1,e1) = e3| op(e1,e2) = e3| op(e1,e3) = e3 )& ( op(e0,e1) = e3| op(e1,e1) = e3| op(e2,e1) = e3| op(e3,e1) = e3 )& ( op(e2,e0) = e0| op(e2,e1) = e0| op(e2,e2) = e0| op(e2,e3) = e0 )& ( op(e0,e2) = e0| op(e1,e2) = e0| op(e2,e2) = e0| op(e3,e2) = e0 )& ( op(e2,e0) = e1| op(e2,e1) = e1| op(e2,e2) = e1| op(e2,e3) = e1 )& ( op(e0,e2) = e1| op(e1,e2) = e1| op(e2,e2) = e1| op(e3,e2) = e1 )& ( op(e2,e0) = e2| op(e2,e1) = e2| op(e2,e2) = e2| op(e2,e3) = e2 )& ( op(e0,e2) = e2| op(e1,e2) = e2| op(e2,e2) = e2| op(e3,e2) = e2 )& ( op(e2,e0) = e3| op(e2,e1) = e3| op(e2,e2) = e3| op(e2,e3) = e3 )& ( op(e0,e2) = e3| op(e1,e2) = e3| op(e2,e2) = e3| op(e3,e2) = e3 )& ( op(e3,e0) = e0| op(e3,e1) = e0| op(e3,e2) = e0| op(e3,e3) = e0 )& ( op(e0,e3) = e0| op(e1,e3) = e0| op(e2,e3) = e0| op(e3,e3) = e0 )& ( op(e3,e0) = e1| op(e3,e1) = e1| op(e3,e2) = e1| op(e3,e3) = e1 )& ( op(e0,e3) = e1| op(e1,e3) = e1| op(e2,e3) = e1| op(e3,e3) = e1 )& ( op(e3,e0) = e2| op(e3,e1) = e2| op(e3,e2) = e2| op(e3,e3) = e2 )& ( op(e0,e3) = e2| op(e1,e3) = e2| op(e2,e3) = e2| op(e3,e3) = e2 )& ( op(e3,e0) = e3| op(e3,e1) = e3| op(e3,e2) = e3| op(e3,e3) = e3 )& ( op(e0,e3) = e3| op(e1,e3) = e3| op(e2,e3) = e3| op(e3,e3) = e3 ) ) ),
% 0.09/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.43  fof(f5,negated_conjecture,(
% 0.09/0.43    ~(( ~ ( ( op(e0,e0) = e0& op(e1,e1) = e0& op(e2,e2) = e0& op(e3,e3) = e0 )| ( op(e0,e0) = e1& op(e1,e1) = e1& op(e2,e2) = e1& op(e3,e3) = e1 )| ( op(e0,e0) = e2& op(e1,e1) = e2& op(e2,e2) = e2& op(e3,e3) = e2 )| ( op(e0,e0) = e3& op(e1,e1) = e3& op(e2,e2) = e3& op(e3,e3) = e3 ) )& ( op(e0,e0) = e0| op(e0,e0) = e1| op(e0,e0) = e2| op(e0,e0) = e3 )& ( op(e0,e1) = e0| op(e0,e1) = e1| op(e0,e1) = e2| op(e0,e1) = e3 )& ( op(e0,e2) = e0| op(e0,e2) = e1| op(e0,e2) = e2| op(e0,e2) = e3 )& ( op(e0,e3) = e0| op(e0,e3) = e1| op(e0,e3) = e2| op(e0,e3) = e3 )& ( op(e1,e0) = e0| op(e1,e0) = e1| op(e1,e0) = e2| op(e1,e0) = e3 )& ( op(e1,e1) = e0| op(e1,e1) = e1| op(e1,e1) = e2| op(e1,e1) = e3 )& ( op(e1,e2) = e0| op(e1,e2) = e1| op(e1,e2) = e2| op(e1,e2) = e3 )& ( op(e1,e3) = e0| op(e1,e3) = e1| op(e1,e3) = e2| op(e1,e3) = e3 )& ( op(e2,e0) = e0| op(e2,e0) = e1| op(e2,e0) = e2| op(e2,e0) = e3 )& ( op(e2,e1) = e0| op(e2,e1) = e1| op(e2,e1) = e2| op(e2,e1) = e3 )& ( op(e2,e2) = e0| op(e2,e2) = e1| op(e2,e2) = e2| op(e2,e2) = e3 )& ( op(e2,e3) = e0| op(e2,e3) = e1| op(e2,e3) = e2| op(e2,e3) = e3 )& ( op(e3,e0) = e0| op(e3,e0) = e1| op(e3,e0) = e2| op(e3,e0) = e3 )& ( op(e3,e1) = e0| op(e3,e1) = e1| op(e3,e1) = e2| op(e3,e1) = e3 )& ( op(e3,e2) = e0| op(e3,e2) = e1| op(e3,e2) = e2| op(e3,e2) = e3 )& ( op(e3,e3) = e0| op(e3,e3) = e1| op(e3,e3) = e2| op(e3,e3) = e3 )& 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& ( unit = e0| unit = e1| unit = e2| unit = e3 )& ( op(e0,e0) = e0| op(e0,e1) = e0| op(e0,e2) = e0| op(e0,e3) = e0 )& ( op(e0,e0) = e0| op(e1,e0) = e0| op(e2,e0) = e0| op(e3,e0) = e0 )& ( op(e0,e0) = e1| op(e0,e1) = e1| op(e0,e2) = e1| op(e0,e3) = e1 )& ( op(e0,e0) = e1| op(e1,e0) = e1| op(e2,e0) = e1| op(e3,e0) = e1 )& ( op(e0,e0) = e2| op(e0,e1) = e2| op(e0,e2) = e2| op(e0,e3) = e2 )& ( op(e0,e0) = e2| op(e1,e0) = e2| op(e2,e0) = e2| op(e3,e0) = e2 )& ( op(e0,e0) = e3| op(e0,e1) = e3| op(e0,e2) = e3| op(e0,e3) = e3 )& ( op(e0,e0) = e3| op(e1,e0) = e3| op(e2,e0) = e3| op(e3,e0) = e3 )& ( op(e1,e0) = e0| op(e1,e1) = e0| op(e1,e2) = e0| op(e1,e3) = e0 )& ( op(e0,e1) = e0| op(e1,e1) = e0| op(e2,e1) = e0| op(e3,e1) = e0 )& ( op(e1,e0) = e1| op(e1,e1) = e1| op(e1,e2) = e1| op(e1,e3) = e1 )& ( op(e0,e1) = e1| op(e1,e1) = e1| op(e2,e1) = e1| op(e3,e1) = e1 )& ( op(e1,e0) = e2| op(e1,e1) = e2| op(e1,e2) = e2| op(e1,e3) = e2 )& ( op(e0,e1) = e2| op(e1,e1) = e2| op(e2,e1) = e2| op(e3,e1) = e2 )& ( op(e1,e0) = e3| op(e1,e1) = e3| op(e1,e2) = e3| op(e1,e3) = e3 )& ( op(e0,e1) = e3| op(e1,e1) = e3| op(e2,e1) = e3| op(e3,e1) = e3 )& ( op(e2,e0) = e0| op(e2,e1) = e0| op(e2,e2) = e0| op(e2,e3) = e0 )& ( op(e0,e2) = e0| op(e1,e2) = e0| op(e2,e2) = e0| op(e3,e2) = e0 )& ( op(e2,e0) = e1| op(e2,e1) = e1| op(e2,e2) = e1| op(e2,e3) = e1 )& ( op(e0,e2) = e1| op(e1,e2) = e1| op(e2,e2) = e1| op(e3,e2) = e1 )& ( op(e2,e0) = e2| op(e2,e1) = e2| op(e2,e2) = e2| op(e2,e3) = e2 )& ( op(e0,e2) = e2| op(e1,e2) = e2| op(e2,e2) = e2| op(e3,e2) = e2 )& ( op(e2,e0) = e3| op(e2,e1) = e3| op(e2,e2) = e3| op(e2,e3) = e3 )& ( op(e0,e2) = e3| op(e1,e2) = e3| op(e2,e2) = e3| op(e3,e2) = e3 )& ( op(e3,e0) = e0| op(e3,e1) = e0| op(e3,e2) = e0| op(e3,e3) = e0 )& ( op(e0,e3) = e0| op(e1,e3) = e0| op(e2,e3) = e0| op(e3,e3) = e0 )& ( op(e3,e0) = e1| op(e3,e1) = e1| op(e3,e2) = e1| op(e3,e3) = e1 )& ( op(e0,e3) = e1| op(e1,e3) = e1| op(e2,e3) = e1| op(e3,e3) = e1 )& ( op(e3,e0) = e2| op(e3,e1) = e2| op(e3,e2) = e2| op(e3,e3) = e2 )& ( op(e0,e3) = e2| op(e1,e3) = e2| op(e2,e3) = e2| op(e3,e3) = e2 )& ( op(e3,e0) = e3| op(e3,e1) = e3| op(e3,e2) = e3| op(e3,e3) = e3 )& ( op(e0,e3) = e3| op(e1,e3) = e3| op(e2,e3) = e3| op(e3,e3) = e3 ) ) )),
% 0.09/0.43    inference(negated_conjecture,[status(cth)],[f4])).
% 0.09/0.43  fof(f6,plain,(
% 0.09/0.43    ~e0=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.43  fof(f7,plain,(
% 0.09/0.43    ~e0=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.43  fof(f8,plain,(
% 0.09/0.43    ~e0=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.43  fof(f12,plain,(
% 0.09/0.43    op(e0,e0)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f13,plain,(
% 0.09/0.43    op(e0,e1)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f14,plain,(
% 0.09/0.43    op(e0,e2)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f15,plain,(
% 0.09/0.43    op(e0,e3)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f16,plain,(
% 0.09/0.43    op(e1,e0)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f17,plain,(
% 0.09/0.43    op(e1,e1)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f18,plain,(
% 0.09/0.43    op(e1,e2)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f19,plain,(
% 0.09/0.43    op(e1,e3)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f20,plain,(
% 0.09/0.43    op(e2,e0)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f21,plain,(
% 0.09/0.43    op(e2,e1)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f22,plain,(
% 0.09/0.43    op(e2,e2)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f23,plain,(
% 0.09/0.43    op(e2,e3)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f24,plain,(
% 0.09/0.43    op(e3,e0)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f25,plain,(
% 0.09/0.43    op(e3,e1)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f26,plain,(
% 0.09/0.43    op(e3,e2)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f27,plain,(
% 0.09/0.43    op(e3,e3)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.43  fof(f28,plain,(
% 0.09/0.43    unit=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.43  fof(f29,plain,(
% 0.09/0.43    (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1))|(((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1))|(((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2))|(((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2))|(((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3))|(((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3))|(((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0))|(((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0))|(((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1))|(((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1))|(((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2))|(((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2))|(((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3))|(((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3))),
% 0.09/0.43    inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.09/0.43  fof(f30,definition,(
% 0.09/0.43    sP0_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1))|(((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1))|(((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2))|(((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2))|(((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3))|(((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3))|(((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0))|(((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0))|(((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1))|(((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1))|(((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2))|(((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2))|(((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.09/0.43  fof(f31,plain,(
% 0.09/0.43    sP0_prd|(((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f29,f30])).
% 0.09/0.43  fof(f32,plain,(
% 0.09/0.43    sP0_prd|~op(e0,e3)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.43  fof(f36,definition,(
% 0.09/0.43    sP1_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1))|(((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1))|(((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2))|(((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2))|(((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3))|(((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3))|(((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0))|(((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0))|(((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1))|(((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1))|(((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2))|(((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.09/0.43  fof(f37,plain,(
% 0.09/0.43    sP0_prd<=>(sP1_prd|(((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f30,f36])).
% 0.09/0.43  fof(f38,plain,(
% 0.09/0.43    (~sP0_prd|(sP1_prd|(((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)))&(sP0_prd|(~sP1_prd&(((op(e3,e0)=e3|op(e3,e1)=e3)|op(e3,e2)=e3)|op(e3,e3)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f37])).
% 0.09/0.43  fof(f39,plain,(
% 0.09/0.43    ~sP0_prd|sP1_prd|~op(e3,e0)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f38])).
% 0.09/0.43  fof(f45,definition,(
% 0.09/0.43    sP2_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1))|(((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1))|(((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2))|(((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2))|(((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3))|(((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3))|(((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0))|(((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0))|(((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1))|(((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1))|(((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.09/0.43  fof(f46,plain,(
% 0.09/0.43    sP1_prd<=>(sP2_prd|(((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f36,f45])).
% 0.09/0.43  fof(f47,plain,(
% 0.09/0.43    (~sP1_prd|(sP2_prd|(((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)))&(sP1_prd|(~sP2_prd&(((op(e0,e3)=e2|op(e1,e3)=e2)|op(e2,e3)=e2)|op(e3,e3)=e2)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f46])).
% 0.09/0.43  fof(f49,plain,(
% 0.09/0.43    ~sP1_prd|sP2_prd|~op(e1,e3)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f47])).
% 0.09/0.43  fof(f54,definition,(
% 0.09/0.43    sP3_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1))|(((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1))|(((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2))|(((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2))|(((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3))|(((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3))|(((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0))|(((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0))|(((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1))|(((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.09/0.43  fof(f55,plain,(
% 0.09/0.43    sP2_prd<=>(sP3_prd|(((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f45,f54])).
% 0.09/0.43  fof(f56,plain,(
% 0.09/0.43    (~sP2_prd|(sP3_prd|(((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)))&(sP2_prd|(~sP3_prd&(((op(e3,e0)=e2|op(e3,e1)=e2)|op(e3,e2)=e2)|op(e3,e3)=e2)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f55])).
% 0.09/0.43  fof(f58,plain,(
% 0.09/0.43    ~sP2_prd|sP3_prd|~op(e3,e1)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f56])).
% 0.09/0.43  fof(f63,definition,(
% 0.09/0.43    sP4_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1))|(((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1))|(((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2))|(((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2))|(((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3))|(((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3))|(((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0))|(((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0))|(((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 0.09/0.43  fof(f64,plain,(
% 0.09/0.43    sP3_prd<=>(sP4_prd|(((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f54,f63])).
% 0.09/0.43  fof(f65,plain,(
% 0.09/0.43    (~sP3_prd|(sP4_prd|(((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)))&(sP3_prd|(~sP4_prd&(((op(e0,e3)=e1|op(e1,e3)=e1)|op(e2,e3)=e1)|op(e3,e3)=e1)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f64])).
% 0.09/0.43  fof(f68,plain,(
% 0.09/0.43    ~sP3_prd|sP4_prd|~op(e2,e3)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f65])).
% 0.09/0.43  fof(f72,definition,(
% 0.09/0.43    sP5_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1))|(((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1))|(((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2))|(((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2))|(((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3))|(((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3))|(((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0))|(((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 0.09/0.43  fof(f73,plain,(
% 0.09/0.43    sP4_prd<=>(sP5_prd|(((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f63,f72])).
% 0.09/0.43  fof(f74,plain,(
% 0.09/0.43    (~sP4_prd|(sP5_prd|(((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)))&(sP4_prd|(~sP5_prd&(((op(e3,e0)=e1|op(e3,e1)=e1)|op(e3,e2)=e1)|op(e3,e3)=e1)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f73])).
% 0.09/0.43  fof(f77,plain,(
% 0.09/0.43    ~sP4_prd|sP5_prd|~op(e3,e2)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f74])).
% 0.09/0.43  fof(f81,definition,(
% 0.09/0.43    sP6_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1))|(((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1))|(((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2))|(((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2))|(((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3))|(((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3))|(((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP6_prd])],[])).
% 0.09/0.43  fof(f82,plain,(
% 0.09/0.43    sP5_prd<=>(sP6_prd|(((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f72,f81])).
% 0.09/0.43  fof(f83,plain,(
% 0.09/0.43    (~sP5_prd|(sP6_prd|(((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)))&(sP5_prd|(~sP6_prd&(((op(e0,e3)=e0|op(e1,e3)=e0)|op(e2,e3)=e0)|op(e3,e3)=e0)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f82])).
% 0.09/0.43  fof(f87,plain,(
% 0.09/0.43    ~sP5_prd|sP6_prd|~op(e3,e3)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f83])).
% 0.09/0.43  fof(f90,definition,(
% 0.09/0.43    sP7_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1))|(((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1))|(((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2))|(((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2))|(((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3))|(((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 0.09/0.43  fof(f91,plain,(
% 0.09/0.43    sP6_prd<=>(sP7_prd|(((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f81,f90])).
% 0.09/0.43  fof(f92,plain,(
% 0.09/0.43    (~sP6_prd|(sP7_prd|(((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)))&(sP6_prd|(~sP7_prd&(((op(e3,e0)=e0|op(e3,e1)=e0)|op(e3,e2)=e0)|op(e3,e3)=e0)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f91])).
% 0.09/0.43  fof(f96,plain,(
% 0.09/0.43    ~sP6_prd|sP7_prd|~op(e3,e3)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f92])).
% 0.09/0.43  fof(f99,definition,(
% 0.09/0.43    sP8_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1))|(((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1))|(((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2))|(((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2))|(((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP8_prd])],[])).
% 0.09/0.43  fof(f100,plain,(
% 0.09/0.43    sP7_prd<=>(sP8_prd|(((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f90,f99])).
% 0.09/0.43  fof(f101,plain,(
% 0.09/0.43    (~sP7_prd|(sP8_prd|(((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)))&(sP7_prd|(~sP8_prd&(((op(e0,e2)=e3|op(e1,e2)=e3)|op(e2,e2)=e3)|op(e3,e2)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f100])).
% 0.09/0.43  fof(f104,plain,(
% 0.09/0.43    ~sP7_prd|sP8_prd|~op(e2,e2)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f101])).
% 0.09/0.43  fof(f108,definition,(
% 0.09/0.43    sP9_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1))|(((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1))|(((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2))|(((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 0.09/0.43  fof(f109,plain,(
% 0.09/0.43    sP8_prd<=>(sP9_prd|(((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f99,f108])).
% 0.09/0.43  fof(f110,plain,(
% 0.09/0.43    (~sP8_prd|(sP9_prd|(((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)))&(sP8_prd|(~sP9_prd&(((op(e2,e0)=e3|op(e2,e1)=e3)|op(e2,e2)=e3)|op(e2,e3)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f109])).
% 0.09/0.43  fof(f113,plain,(
% 0.09/0.43    ~sP8_prd|sP9_prd|~op(e2,e2)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f110])).
% 0.09/0.43  fof(f117,definition,(
% 0.09/0.43    sP10_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1))|(((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1))|(((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP10_prd])],[])).
% 0.09/0.43  fof(f118,plain,(
% 0.09/0.43    sP9_prd<=>(sP10_prd|(((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f108,f117])).
% 0.09/0.43  fof(f119,plain,(
% 0.09/0.43    (~sP9_prd|(sP10_prd|(((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)))&(sP9_prd|(~sP10_prd&(((op(e0,e2)=e2|op(e1,e2)=e2)|op(e2,e2)=e2)|op(e3,e2)=e2)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f118])).
% 0.09/0.43  fof(f120,plain,(
% 0.09/0.43    ~sP9_prd|sP10_prd|~op(e0,e2)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f119])).
% 0.09/0.43  fof(f126,definition,(
% 0.09/0.43    sP11_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1))|(((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP11_prd])],[])).
% 0.09/0.43  fof(f127,plain,(
% 0.09/0.43    sP10_prd<=>(sP11_prd|(((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f117,f126])).
% 0.09/0.43  fof(f128,plain,(
% 0.09/0.43    (~sP10_prd|(sP11_prd|(((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)))&(sP10_prd|(~sP11_prd&(((op(e2,e0)=e2|op(e2,e1)=e2)|op(e2,e2)=e2)|op(e2,e3)=e2)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f127])).
% 0.09/0.43  fof(f129,plain,(
% 0.09/0.43    ~sP10_prd|sP11_prd|~op(e2,e0)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f128])).
% 0.09/0.43  fof(f135,definition,(
% 0.09/0.43    sP12_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP12_prd])],[])).
% 0.09/0.43  fof(f136,plain,(
% 0.09/0.43    sP11_prd<=>(sP12_prd|(((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f126,f135])).
% 0.09/0.43  fof(f137,plain,(
% 0.09/0.43    (~sP11_prd|(sP12_prd|(((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)))&(sP11_prd|(~sP12_prd&(((op(e0,e2)=e1|op(e1,e2)=e1)|op(e2,e2)=e1)|op(e3,e2)=e1)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f136])).
% 0.09/0.43  fof(f141,plain,(
% 0.09/0.43    ~sP11_prd|sP12_prd|~op(e3,e2)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f137])).
% 0.09/0.43  fof(f144,definition,(
% 0.09/0.43    sP13_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP13_prd])],[])).
% 0.09/0.43  fof(f145,plain,(
% 0.09/0.43    sP12_prd<=>(sP13_prd|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f135,f144])).
% 0.09/0.43  fof(f146,plain,(
% 0.09/0.43    (~sP12_prd|(sP13_prd|(((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)))&(sP12_prd|(~sP13_prd&(((op(e2,e0)=e1|op(e2,e1)=e1)|op(e2,e2)=e1)|op(e2,e3)=e1)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f145])).
% 0.09/0.43  fof(f150,plain,(
% 0.09/0.43    ~sP12_prd|sP13_prd|~op(e2,e3)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f146])).
% 0.09/0.43  fof(f153,definition,(
% 0.09/0.43    sP14_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP14_prd])],[])).
% 0.09/0.43  fof(f154,plain,(
% 0.09/0.43    sP13_prd<=>(sP14_prd|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f144,f153])).
% 0.09/0.43  fof(f155,plain,(
% 0.09/0.43    (~sP13_prd|(sP14_prd|(((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)))&(sP13_prd|(~sP14_prd&(((op(e0,e2)=e0|op(e1,e2)=e0)|op(e2,e2)=e0)|op(e3,e2)=e0)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f154])).
% 0.09/0.43  fof(f157,plain,(
% 0.09/0.43    ~sP13_prd|sP14_prd|~op(e1,e2)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f155])).
% 0.09/0.43  fof(f162,definition,(
% 0.09/0.43    sP15_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP15_prd])],[])).
% 0.09/0.43  fof(f163,plain,(
% 0.09/0.43    sP14_prd<=>(sP15_prd|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f153,f162])).
% 0.09/0.43  fof(f164,plain,(
% 0.09/0.43    (~sP14_prd|(sP15_prd|(((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)))&(sP14_prd|(~sP15_prd&(((op(e2,e0)=e0|op(e2,e1)=e0)|op(e2,e2)=e0)|op(e2,e3)=e0)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f163])).
% 0.09/0.43  fof(f166,plain,(
% 0.09/0.43    ~sP14_prd|sP15_prd|~op(e2,e1)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f164])).
% 0.09/0.43  fof(f171,definition,(
% 0.09/0.43    sP16_prd<=>((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP16_prd])],[])).
% 0.09/0.43  fof(f172,plain,(
% 0.09/0.43    sP15_prd<=>(sP16_prd|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f162,f171])).
% 0.09/0.43  fof(f173,plain,(
% 0.09/0.43    (~sP15_prd|(sP16_prd|(((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)))&(sP15_prd|(~sP16_prd&(((op(e0,e1)=e3|op(e1,e1)=e3)|op(e2,e1)=e3)|op(e3,e1)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f172])).
% 0.09/0.43  fof(f175,plain,(
% 0.09/0.43    ~sP15_prd|sP16_prd|~op(e1,e1)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f173])).
% 0.09/0.43  fof(f180,definition,(
% 0.09/0.43    sP17_prd<=>(((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP17_prd])],[])).
% 0.09/0.43  fof(f181,plain,(
% 0.09/0.43    sP16_prd<=>(sP17_prd|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f171,f180])).
% 0.09/0.43  fof(f182,plain,(
% 0.09/0.43    (~sP16_prd|(sP17_prd|(((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)))&(sP16_prd|(~sP17_prd&(((op(e1,e0)=e3|op(e1,e1)=e3)|op(e1,e2)=e3)|op(e1,e3)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f181])).
% 0.09/0.43  fof(f184,plain,(
% 0.09/0.43    ~sP16_prd|sP17_prd|~op(e1,e1)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f182])).
% 0.09/0.43  fof(f189,definition,(
% 0.09/0.43    sP18_prd<=>((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP18_prd])],[])).
% 0.09/0.43  fof(f190,plain,(
% 0.09/0.43    sP17_prd<=>(sP18_prd|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f180,f189])).
% 0.09/0.43  fof(f191,plain,(
% 0.09/0.43    (~sP17_prd|(sP18_prd|(((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)))&(sP17_prd|(~sP18_prd&(((op(e0,e1)=e2|op(e1,e1)=e2)|op(e2,e1)=e2)|op(e3,e1)=e2)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f190])).
% 0.09/0.43  fof(f195,plain,(
% 0.09/0.43    ~sP17_prd|sP18_prd|~op(e3,e1)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f191])).
% 0.09/0.43  fof(f198,definition,(
% 0.09/0.43    sP19_prd<=>(((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP19_prd])],[])).
% 0.09/0.43  fof(f199,plain,(
% 0.09/0.43    sP18_prd<=>(sP19_prd|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f189,f198])).
% 0.09/0.43  fof(f200,plain,(
% 0.09/0.43    (~sP18_prd|(sP19_prd|(((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)))&(sP18_prd|(~sP19_prd&(((op(e1,e0)=e2|op(e1,e1)=e2)|op(e1,e2)=e2)|op(e1,e3)=e2)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f199])).
% 0.09/0.43  fof(f204,plain,(
% 0.09/0.43    ~sP18_prd|sP19_prd|~op(e1,e3)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f200])).
% 0.09/0.43  fof(f207,definition,(
% 0.09/0.43    sP20_prd<=>((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP20_prd])],[])).
% 0.09/0.43  fof(f208,plain,(
% 0.09/0.43    sP19_prd<=>(sP20_prd|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f198,f207])).
% 0.09/0.43  fof(f209,plain,(
% 0.09/0.43    (~sP19_prd|(sP20_prd|(((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)))&(sP19_prd|(~sP20_prd&(((op(e0,e1)=e1|op(e1,e1)=e1)|op(e2,e1)=e1)|op(e3,e1)=e1)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f208])).
% 0.09/0.43  fof(f210,plain,(
% 0.09/0.43    ~sP19_prd|sP20_prd|~op(e0,e1)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f209])).
% 0.09/0.43  fof(f216,definition,(
% 0.09/0.43    sP21_prd<=>(((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP21_prd])],[])).
% 0.09/0.43  fof(f217,plain,(
% 0.09/0.43    sP20_prd<=>(sP21_prd|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f207,f216])).
% 0.09/0.43  fof(f218,plain,(
% 0.09/0.43    (~sP20_prd|(sP21_prd|(((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)))&(sP20_prd|(~sP21_prd&(((op(e1,e0)=e1|op(e1,e1)=e1)|op(e1,e2)=e1)|op(e1,e3)=e1)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f217])).
% 0.09/0.43  fof(f219,plain,(
% 0.09/0.43    ~sP20_prd|sP21_prd|~op(e1,e0)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f218])).
% 0.09/0.43  fof(f225,definition,(
% 0.09/0.43    sP22_prd<=>((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP22_prd])],[])).
% 0.09/0.43  fof(f226,plain,(
% 0.09/0.43    sP21_prd<=>(sP22_prd|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f216,f225])).
% 0.09/0.43  fof(f227,plain,(
% 0.09/0.43    (~sP21_prd|(sP22_prd|(((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)))&(sP21_prd|(~sP22_prd&(((op(e0,e1)=e0|op(e1,e1)=e0)|op(e2,e1)=e0)|op(e3,e1)=e0)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f226])).
% 0.09/0.43  fof(f230,plain,(
% 0.09/0.43    ~sP21_prd|sP22_prd|~op(e2,e1)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f227])).
% 0.09/0.43  fof(f234,definition,(
% 0.09/0.43    sP23_prd<=>(((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP23_prd])],[])).
% 0.09/0.43  fof(f235,plain,(
% 0.09/0.43    sP22_prd<=>(sP23_prd|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f225,f234])).
% 0.09/0.43  fof(f236,plain,(
% 0.09/0.43    (~sP22_prd|(sP23_prd|(((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)))&(sP22_prd|(~sP23_prd&(((op(e1,e0)=e0|op(e1,e1)=e0)|op(e1,e2)=e0)|op(e1,e3)=e0)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f235])).
% 0.09/0.43  fof(f239,plain,(
% 0.09/0.43    ~sP22_prd|sP23_prd|~op(e1,e2)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f236])).
% 0.09/0.43  fof(f243,definition,(
% 0.09/0.43    sP24_prd<=>((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP24_prd])],[])).
% 0.09/0.43  fof(f244,plain,(
% 0.09/0.43    sP23_prd<=>(sP24_prd|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f234,f243])).
% 0.09/0.43  fof(f245,plain,(
% 0.09/0.43    (~sP23_prd|(sP24_prd|(((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)))&(sP23_prd|(~sP24_prd&(((op(e0,e0)=e3|op(e1,e0)=e3)|op(e2,e0)=e3)|op(e3,e0)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f244])).
% 0.09/0.43  fof(f249,plain,(
% 0.09/0.43    ~sP23_prd|sP24_prd|~op(e3,e0)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f245])).
% 0.09/0.43  fof(f252,definition,(
% 0.09/0.43    sP25_prd<=>(((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP25_prd])],[])).
% 0.09/0.43  fof(f253,plain,(
% 0.09/0.43    sP24_prd<=>(sP25_prd|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f243,f252])).
% 0.09/0.43  fof(f254,plain,(
% 0.09/0.43    (~sP24_prd|(sP25_prd|(((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)))&(sP24_prd|(~sP25_prd&(((op(e0,e0)=e3|op(e0,e1)=e3)|op(e0,e2)=e3)|op(e0,e3)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f253])).
% 0.09/0.43  fof(f258,plain,(
% 0.09/0.43    ~sP24_prd|sP25_prd|~op(e0,e3)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f254])).
% 0.09/0.43  fof(f261,definition,(
% 0.09/0.43    sP26_prd<=>((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP26_prd])],[])).
% 0.09/0.43  fof(f262,plain,(
% 0.09/0.43    sP25_prd<=>(sP26_prd|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f252,f261])).
% 0.09/0.43  fof(f263,plain,(
% 0.09/0.43    (~sP25_prd|(sP26_prd|(((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)))&(sP25_prd|(~sP26_prd&(((op(e0,e0)=e2|op(e1,e0)=e2)|op(e2,e0)=e2)|op(e3,e0)=e2)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f262])).
% 0.09/0.43  fof(f266,plain,(
% 0.09/0.43    ~sP25_prd|sP26_prd|~op(e2,e0)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f263])).
% 0.09/0.43  fof(f270,definition,(
% 0.09/0.43    sP27_prd<=>(((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP27_prd])],[])).
% 0.09/0.43  fof(f271,plain,(
% 0.09/0.43    sP26_prd<=>(sP27_prd|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f261,f270])).
% 0.09/0.43  fof(f272,plain,(
% 0.09/0.43    (~sP26_prd|(sP27_prd|(((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)))&(sP26_prd|(~sP27_prd&(((op(e0,e0)=e2|op(e0,e1)=e2)|op(e0,e2)=e2)|op(e0,e3)=e2)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f271])).
% 0.09/0.43  fof(f275,plain,(
% 0.09/0.43    ~sP26_prd|sP27_prd|~op(e0,e2)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f272])).
% 0.09/0.43  fof(f279,definition,(
% 0.09/0.43    sP28_prd<=>((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP28_prd])],[])).
% 0.09/0.43  fof(f280,plain,(
% 0.09/0.43    sP27_prd<=>(sP28_prd|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f270,f279])).
% 0.09/0.43  fof(f281,plain,(
% 0.09/0.43    (~sP27_prd|(sP28_prd|(((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)))&(sP27_prd|(~sP28_prd&(((op(e0,e0)=e1|op(e1,e0)=e1)|op(e2,e0)=e1)|op(e3,e0)=e1)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f280])).
% 0.09/0.43  fof(f283,plain,(
% 0.09/0.43    ~sP27_prd|sP28_prd|~op(e1,e0)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f281])).
% 0.09/0.43  fof(f288,definition,(
% 0.09/0.43    sP29_prd<=>(((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP29_prd])],[])).
% 0.09/0.43  fof(f289,plain,(
% 0.09/0.43    sP28_prd<=>(sP29_prd|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f279,f288])).
% 0.09/0.43  fof(f290,plain,(
% 0.09/0.43    (~sP28_prd|(sP29_prd|(((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)))&(sP28_prd|(~sP29_prd&(((op(e0,e0)=e1|op(e0,e1)=e1)|op(e0,e2)=e1)|op(e0,e3)=e1)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f289])).
% 0.09/0.43  fof(f292,plain,(
% 0.09/0.43    ~sP28_prd|sP29_prd|~op(e0,e1)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f290])).
% 0.09/0.43  fof(f297,definition,(
% 0.09/0.43    sP30_prd<=>((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP30_prd])],[])).
% 0.09/0.43  fof(f298,plain,(
% 0.09/0.43    sP29_prd<=>(sP30_prd|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f288,f297])).
% 0.09/0.43  fof(f299,plain,(
% 0.09/0.43    (~sP29_prd|(sP30_prd|(((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)))&(sP29_prd|(~sP30_prd&(((op(e0,e0)=e0|op(e1,e0)=e0)|op(e2,e0)=e0)|op(e3,e0)=e0)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f298])).
% 0.09/0.43  fof(f300,plain,(
% 0.09/0.43    ~sP29_prd|sP30_prd|~op(e0,e0)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f299])).
% 0.09/0.43  fof(f306,definition,(
% 0.09/0.43    sP31_prd<=>(((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP31_prd])],[])).
% 0.09/0.43  fof(f307,plain,(
% 0.09/0.43    sP30_prd<=>(sP31_prd|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f297,f306])).
% 0.09/0.43  fof(f308,plain,(
% 0.09/0.43    (~sP30_prd|(sP31_prd|(((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)))&(sP30_prd|(~sP31_prd&(((op(e0,e0)=e0|op(e0,e1)=e0)|op(e0,e2)=e0)|op(e0,e3)=e0)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f307])).
% 0.09/0.43  fof(f309,plain,(
% 0.09/0.43    ~sP30_prd|sP31_prd|~op(e0,e0)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f308])).
% 0.09/0.43  fof(f315,definition,(
% 0.09/0.43    sP32_prd<=>((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP32_prd])],[])).
% 0.09/0.43  fof(f316,plain,(
% 0.09/0.43    sP31_prd<=>(sP32_prd|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f306,f315])).
% 0.09/0.43  fof(f317,plain,(
% 0.09/0.43    (~sP31_prd|(sP32_prd|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)))&(sP31_prd|(~sP32_prd&(((unit=e0|unit=e1)|unit=e2)|unit=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f316])).
% 0.09/0.43  fof(f318,plain,(
% 0.09/0.43    ~sP31_prd|sP32_prd|~unit=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f317])).
% 0.09/0.43  fof(f324,definition,(
% 0.09/0.43    sP33_prd<=>(((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP33_prd])],[])).
% 0.09/0.43  fof(f325,plain,(
% 0.09/0.43    sP32_prd<=>(((((((((sP33_prd|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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)),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f315,f324])).
% 0.09/0.43  fof(f326,plain,(
% 0.09/0.43    (~sP32_prd|(((((((((sP33_prd|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~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))&(sP32_prd|(((((((((~sP33_prd&(((op(e3,e3)=e0|op(e3,e3)=e1)|op(e3,e3)=e2)|op(e3,e3)=e3))&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))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f325])).
% 0.09/0.43  fof(f327,plain,(
% 0.09/0.43    ~sP32_prd|sP33_prd|~op(e3,e3)=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),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f326])).
% 0.09/0.43  fof(f341,definition,(
% 0.09/0.43    sP34_prd<=>((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP34_prd])],[])).
% 0.09/0.43  fof(f342,plain,(
% 0.09/0.43    sP33_prd<=>(sP34_prd|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f324,f341])).
% 0.09/0.43  fof(f343,plain,(
% 0.09/0.43    (~sP33_prd|(sP34_prd|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)))&(sP33_prd|(~sP34_prd&(((op(e3,e2)=e0|op(e3,e2)=e1)|op(e3,e2)=e2)|op(e3,e2)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f342])).
% 0.09/0.43  fof(f345,plain,(
% 0.09/0.43    ~sP33_prd|sP34_prd|~op(e3,e2)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f343])).
% 0.09/0.43  fof(f350,definition,(
% 0.09/0.43    sP35_prd<=>(((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP35_prd])],[])).
% 0.09/0.43  fof(f351,plain,(
% 0.09/0.43    sP34_prd<=>(sP35_prd|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f341,f350])).
% 0.09/0.43  fof(f352,plain,(
% 0.09/0.43    (~sP34_prd|(sP35_prd|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)))&(sP34_prd|(~sP35_prd&(((op(e3,e1)=e0|op(e3,e1)=e1)|op(e3,e1)=e2)|op(e3,e1)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f351])).
% 0.09/0.43  fof(f355,plain,(
% 0.09/0.43    ~sP34_prd|sP35_prd|~op(e3,e1)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f352])).
% 0.09/0.43  fof(f359,definition,(
% 0.09/0.43    sP36_prd<=>((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP36_prd])],[])).
% 0.09/0.43  fof(f360,plain,(
% 0.09/0.43    sP35_prd<=>(sP36_prd|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f350,f359])).
% 0.09/0.43  fof(f361,plain,(
% 0.09/0.43    (~sP35_prd|(sP36_prd|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)))&(sP35_prd|(~sP36_prd&(((op(e3,e0)=e0|op(e3,e0)=e1)|op(e3,e0)=e2)|op(e3,e0)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f360])).
% 0.09/0.43  fof(f365,plain,(
% 0.09/0.43    ~sP35_prd|sP36_prd|~op(e3,e0)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f361])).
% 0.09/0.43  fof(f368,definition,(
% 0.09/0.43    sP37_prd<=>(((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP37_prd])],[])).
% 0.09/0.43  fof(f369,plain,(
% 0.09/0.43    sP36_prd<=>(sP37_prd|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f359,f368])).
% 0.09/0.43  fof(f370,plain,(
% 0.09/0.43    (~sP36_prd|(sP37_prd|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)))&(sP36_prd|(~sP37_prd&(((op(e2,e3)=e0|op(e2,e3)=e1)|op(e2,e3)=e2)|op(e2,e3)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f369])).
% 0.09/0.43  fof(f372,plain,(
% 0.09/0.43    ~sP36_prd|sP37_prd|~op(e2,e3)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f370])).
% 0.09/0.43  fof(f377,definition,(
% 0.09/0.43    sP38_prd<=>((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP38_prd])],[])).
% 0.09/0.43  fof(f378,plain,(
% 0.09/0.43    sP37_prd<=>(sP38_prd|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f368,f377])).
% 0.09/0.43  fof(f379,plain,(
% 0.09/0.43    (~sP37_prd|(sP38_prd|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)))&(sP37_prd|(~sP38_prd&(((op(e2,e2)=e0|op(e2,e2)=e1)|op(e2,e2)=e2)|op(e2,e2)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f378])).
% 0.09/0.43  fof(f383,plain,(
% 0.09/0.43    ~sP37_prd|sP38_prd|~op(e2,e2)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f379])).
% 0.09/0.43  fof(f386,definition,(
% 0.09/0.43    sP39_prd<=>(((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP39_prd])],[])).
% 0.09/0.43  fof(f387,plain,(
% 0.09/0.43    sP38_prd<=>(sP39_prd|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f377,f386])).
% 0.09/0.43  fof(f388,plain,(
% 0.09/0.43    (~sP38_prd|(sP39_prd|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)))&(sP38_prd|(~sP39_prd&(((op(e2,e1)=e0|op(e2,e1)=e1)|op(e2,e1)=e2)|op(e2,e1)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f387])).
% 0.09/0.43  fof(f389,plain,(
% 0.09/0.43    ~sP38_prd|sP39_prd|~op(e2,e1)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f388])).
% 0.09/0.43  fof(f395,definition,(
% 0.09/0.43    sP40_prd<=>((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP40_prd])],[])).
% 0.09/0.43  fof(f396,plain,(
% 0.09/0.43    sP39_prd<=>(sP40_prd|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f386,f395])).
% 0.09/0.43  fof(f397,plain,(
% 0.09/0.43    (~sP39_prd|(sP40_prd|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)))&(sP39_prd|(~sP40_prd&(((op(e2,e0)=e0|op(e2,e0)=e1)|op(e2,e0)=e2)|op(e2,e0)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f396])).
% 0.09/0.43  fof(f400,plain,(
% 0.09/0.43    ~sP39_prd|sP40_prd|~op(e2,e0)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f397])).
% 0.09/0.43  fof(f404,definition,(
% 0.09/0.43    sP41_prd<=>(((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP41_prd])],[])).
% 0.09/0.43  fof(f405,plain,(
% 0.09/0.43    sP40_prd<=>(sP41_prd|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f395,f404])).
% 0.09/0.43  fof(f406,plain,(
% 0.09/0.43    (~sP40_prd|(sP41_prd|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)))&(sP40_prd|(~sP41_prd&(((op(e1,e3)=e0|op(e1,e3)=e1)|op(e1,e3)=e2)|op(e1,e3)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f405])).
% 0.09/0.43  fof(f409,plain,(
% 0.09/0.43    ~sP40_prd|sP41_prd|~op(e1,e3)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f406])).
% 0.09/0.43  fof(f413,definition,(
% 0.09/0.43    sP42_prd<=>((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP42_prd])],[])).
% 0.09/0.43  fof(f414,plain,(
% 0.09/0.43    sP41_prd<=>(sP42_prd|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f404,f413])).
% 0.09/0.43  fof(f415,plain,(
% 0.09/0.43    (~sP41_prd|(sP42_prd|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)))&(sP41_prd|(~sP42_prd&(((op(e1,e2)=e0|op(e1,e2)=e1)|op(e1,e2)=e2)|op(e1,e2)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f414])).
% 0.09/0.43  fof(f416,plain,(
% 0.09/0.43    ~sP41_prd|sP42_prd|~op(e1,e2)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f415])).
% 0.09/0.43  fof(f422,definition,(
% 0.09/0.43    sP43_prd<=>(((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP43_prd])],[])).
% 0.09/0.43  fof(f423,plain,(
% 0.09/0.43    sP42_prd<=>(sP43_prd|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f413,f422])).
% 0.09/0.43  fof(f424,plain,(
% 0.09/0.43    (~sP42_prd|(sP43_prd|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)))&(sP42_prd|(~sP43_prd&(((op(e1,e1)=e0|op(e1,e1)=e1)|op(e1,e1)=e2)|op(e1,e1)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f423])).
% 0.09/0.43  fof(f428,plain,(
% 0.09/0.43    ~sP42_prd|sP43_prd|~op(e1,e1)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f424])).
% 0.09/0.43  fof(f431,definition,(
% 0.09/0.43    sP44_prd<=>((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP44_prd])],[])).
% 0.09/0.43  fof(f432,plain,(
% 0.09/0.43    sP43_prd<=>(sP44_prd|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f422,f431])).
% 0.09/0.43  fof(f433,plain,(
% 0.09/0.43    (~sP43_prd|(sP44_prd|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)))&(sP43_prd|(~sP44_prd&(((op(e1,e0)=e0|op(e1,e0)=e1)|op(e1,e0)=e2)|op(e1,e0)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f432])).
% 0.09/0.43  fof(f435,plain,(
% 0.09/0.43    ~sP43_prd|sP44_prd|~op(e1,e0)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f433])).
% 0.09/0.43  fof(f440,definition,(
% 0.09/0.43    sP45_prd<=>(((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP45_prd])],[])).
% 0.09/0.43  fof(f441,plain,(
% 0.09/0.43    sP44_prd<=>(sP45_prd|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f431,f440])).
% 0.09/0.43  fof(f442,plain,(
% 0.09/0.43    (~sP44_prd|(sP45_prd|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)))&(sP44_prd|(~sP45_prd&(((op(e0,e3)=e0|op(e0,e3)=e1)|op(e0,e3)=e2)|op(e0,e3)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f441])).
% 0.09/0.43  fof(f446,plain,(
% 0.09/0.43    ~sP44_prd|sP45_prd|~op(e0,e3)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f442])).
% 0.09/0.43  fof(f449,definition,(
% 0.09/0.43    sP46_prd<=>((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP46_prd])],[])).
% 0.09/0.43  fof(f450,plain,(
% 0.09/0.43    sP45_prd<=>(sP46_prd|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f440,f449])).
% 0.09/0.43  fof(f451,plain,(
% 0.09/0.43    (~sP45_prd|(sP46_prd|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)))&(sP45_prd|(~sP46_prd&(((op(e0,e2)=e0|op(e0,e2)=e1)|op(e0,e2)=e2)|op(e0,e2)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f450])).
% 0.09/0.43  fof(f454,plain,(
% 0.09/0.43    ~sP45_prd|sP46_prd|~op(e0,e2)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f451])).
% 0.09/0.43  fof(f458,definition,(
% 0.09/0.43    sP47_prd<=>(((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP47_prd])],[])).
% 0.09/0.43  fof(f459,plain,(
% 0.09/0.43    sP46_prd<=>(sP47_prd|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f449,f458])).
% 0.09/0.43  fof(f460,plain,(
% 0.09/0.43    (~sP46_prd|(sP47_prd|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)))&(sP46_prd|(~sP47_prd&(((op(e0,e1)=e0|op(e0,e1)=e1)|op(e0,e1)=e2)|op(e0,e1)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f459])).
% 0.09/0.43  fof(f462,plain,(
% 0.09/0.43    ~sP46_prd|sP47_prd|~op(e0,e1)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f460])).
% 0.09/0.43  fof(f467,definition,(
% 0.09/0.43    sP48_prd<=>((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP48_prd])],[])).
% 0.09/0.43  fof(f468,plain,(
% 0.09/0.43    sP47_prd<=>(sP48_prd|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f458,f467])).
% 0.09/0.43  fof(f469,plain,(
% 0.09/0.43    (~sP47_prd|(sP48_prd|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)))&(sP47_prd|(~sP48_prd&(((op(e0,e0)=e0|op(e0,e0)=e1)|op(e0,e0)=e2)|op(e0,e0)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f468])).
% 0.09/0.43  fof(f470,plain,(
% 0.09/0.43    ~sP47_prd|sP48_prd|~op(e0,e0)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f469])).
% 0.09/0.43  fof(f476,definition,(
% 0.09/0.43    sP49_prd<=>(((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP49_prd])],[])).
% 0.09/0.43  fof(f477,plain,(
% 0.09/0.43    sP48_prd<=>(sP49_prd|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f467,f476])).
% 0.09/0.43  fof(f478,plain,(
% 0.09/0.43    (~sP48_prd|(sP49_prd|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3)))&(sP48_prd|(~sP49_prd&(((~op(e0,e0)=e3|~op(e1,e1)=e3)|~op(e2,e2)=e3)|~op(e3,e3)=e3)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f477])).
% 0.09/0.43  fof(f479,plain,(
% 0.09/0.43    ~sP48_prd|sP49_prd|op(e0,e0)=e3),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f478])).
% 0.09/0.43  fof(f485,definition,(
% 0.09/0.43    sP50_prd<=>((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP50_prd])],[])).
% 0.09/0.43  fof(f486,plain,(
% 0.09/0.43    sP49_prd<=>(sP50_prd|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f476,f485])).
% 0.09/0.43  fof(f487,plain,(
% 0.09/0.43    (~sP49_prd|(sP50_prd|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2)))&(sP49_prd|(~sP50_prd&(((~op(e0,e0)=e2|~op(e1,e1)=e2)|~op(e2,e2)=e2)|~op(e3,e3)=e2)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f486])).
% 0.09/0.43  fof(f488,plain,(
% 0.09/0.43    ~sP49_prd|sP50_prd|op(e0,e0)=e2),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f487])).
% 0.09/0.43  fof(f494,definition,(
% 0.09/0.43    sP51_prd<=>(((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)),
% 0.09/0.43    introduced(definition,[new_symbols(definition,[sP51_prd])],[])).
% 0.09/0.43  fof(f495,plain,(
% 0.09/0.43    sP50_prd<=>(sP51_prd|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))),
% 0.09/0.43    inference(formula_renaming,[status(thm)],[f485,f494])).
% 0.09/0.43  fof(f496,plain,(
% 0.09/0.43    (~sP50_prd|(sP51_prd|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1)))&(sP50_prd|(~sP51_prd&(((~op(e0,e0)=e1|~op(e1,e1)=e1)|~op(e2,e2)=e1)|~op(e3,e3)=e1)))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f495])).
% 0.09/0.43  fof(f497,plain,(
% 0.09/0.43    ~sP50_prd|sP51_prd|op(e0,e0)=e1),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f496])).
% 0.09/0.43  fof(f503,plain,(
% 0.09/0.43    (~sP51_prd|(((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0))&(sP51_prd|(((~op(e0,e0)=e0|~op(e1,e1)=e0)|~op(e2,e2)=e0)|~op(e3,e3)=e0))),
% 0.09/0.43    inference(NNF_transformation,[status(thm)],[f494])).
% 0.09/0.43  fof(f505,plain,(
% 0.09/0.43    ~sP51_prd|op(e1,e1)=e0),
% 0.09/0.43    inference(cnf_transformation,[status(thm)],[f503])).
% 0.09/0.43  fof(f509,plain,(
% 0.09/0.43    sP0_prd|~e3=e3),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f15,f32])).
% 0.09/0.43  fof(f510,plain,(
% 0.09/0.43    sP0_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f509])).
% 0.09/0.43  fof(f514,plain,(
% 0.09/0.43    ~sP0_prd|sP1_prd|~e3=e3),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f24,f39])).
% 0.09/0.43  fof(f515,plain,(
% 0.09/0.43    ~sP0_prd|sP1_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f514])).
% 0.09/0.43  fof(f516,plain,(
% 0.09/0.43    sP1_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f515,f510])).
% 0.09/0.43  fof(f521,plain,(
% 0.09/0.43    ~sP1_prd|sP2_prd|~e2=e2),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f19,f49])).
% 0.09/0.43  fof(f522,plain,(
% 0.09/0.43    ~sP1_prd|sP2_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f521])).
% 0.09/0.43  fof(f523,plain,(
% 0.09/0.43    sP2_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f522,f516])).
% 0.09/0.43  fof(f528,plain,(
% 0.09/0.43    ~sP2_prd|sP3_prd|~e2=e2),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f25,f58])).
% 0.09/0.43  fof(f529,plain,(
% 0.09/0.43    ~sP2_prd|sP3_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f528])).
% 0.09/0.43  fof(f530,plain,(
% 0.09/0.43    sP3_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f529,f523])).
% 0.09/0.43  fof(f536,plain,(
% 0.09/0.43    ~sP3_prd|sP4_prd|~e1=e1),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f23,f68])).
% 0.09/0.43  fof(f537,plain,(
% 0.09/0.43    ~sP3_prd|sP4_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f536])).
% 0.09/0.43  fof(f538,plain,(
% 0.09/0.43    sP4_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f537,f530])).
% 0.09/0.43  fof(f544,plain,(
% 0.09/0.43    ~sP4_prd|sP5_prd|~e1=e1),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f26,f77])).
% 0.09/0.43  fof(f545,plain,(
% 0.09/0.43    ~sP4_prd|sP5_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f544])).
% 0.09/0.43  fof(f546,plain,(
% 0.09/0.43    sP5_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f545,f538])).
% 0.09/0.43  fof(f553,plain,(
% 0.09/0.43    ~sP5_prd|sP6_prd|~e0=e0),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f27,f87])).
% 0.09/0.43  fof(f554,plain,(
% 0.09/0.43    ~sP5_prd|sP6_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f553])).
% 0.09/0.43  fof(f555,plain,(
% 0.09/0.43    sP6_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f554,f546])).
% 0.09/0.43  fof(f562,plain,(
% 0.09/0.43    ~sP6_prd|sP7_prd|~e0=e0),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f27,f96])).
% 0.09/0.43  fof(f563,plain,(
% 0.09/0.43    ~sP6_prd|sP7_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f562])).
% 0.09/0.43  fof(f564,plain,(
% 0.09/0.43    sP7_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f563,f555])).
% 0.09/0.43  fof(f570,plain,(
% 0.09/0.43    ~sP7_prd|sP8_prd|~e3=e3),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f22,f104])).
% 0.09/0.43  fof(f571,plain,(
% 0.09/0.43    ~sP7_prd|sP8_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f570])).
% 0.09/0.43  fof(f572,plain,(
% 0.09/0.43    sP8_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f571,f564])).
% 0.09/0.43  fof(f578,plain,(
% 0.09/0.43    ~sP8_prd|sP9_prd|~e3=e3),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f22,f113])).
% 0.09/0.43  fof(f579,plain,(
% 0.09/0.43    ~sP8_prd|sP9_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f578])).
% 0.09/0.43  fof(f580,plain,(
% 0.09/0.43    sP9_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f579,f572])).
% 0.09/0.43  fof(f584,plain,(
% 0.09/0.43    ~sP9_prd|sP10_prd|~e2=e2),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f14,f120])).
% 0.09/0.43  fof(f585,plain,(
% 0.09/0.43    ~sP9_prd|sP10_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f584])).
% 0.09/0.43  fof(f586,plain,(
% 0.09/0.43    sP10_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f585,f580])).
% 0.09/0.43  fof(f590,plain,(
% 0.09/0.43    ~sP10_prd|sP11_prd|~e2=e2),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f20,f129])).
% 0.09/0.43  fof(f591,plain,(
% 0.09/0.43    ~sP10_prd|sP11_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f590])).
% 0.09/0.43  fof(f592,plain,(
% 0.09/0.43    sP11_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f591,f586])).
% 0.09/0.43  fof(f599,plain,(
% 0.09/0.43    ~sP11_prd|sP12_prd|~e1=e1),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f26,f141])).
% 0.09/0.43  fof(f600,plain,(
% 0.09/0.43    ~sP11_prd|sP12_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f599])).
% 0.09/0.43  fof(f601,plain,(
% 0.09/0.43    sP12_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f600,f592])).
% 0.09/0.43  fof(f608,plain,(
% 0.09/0.43    ~sP12_prd|sP13_prd|~e1=e1),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f23,f150])).
% 0.09/0.43  fof(f609,plain,(
% 0.09/0.43    ~sP12_prd|sP13_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f608])).
% 0.09/0.43  fof(f610,plain,(
% 0.09/0.43    sP13_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f609,f601])).
% 0.09/0.43  fof(f615,plain,(
% 0.09/0.43    ~sP13_prd|sP14_prd|~e0=e0),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f18,f157])).
% 0.09/0.43  fof(f616,plain,(
% 0.09/0.43    ~sP13_prd|sP14_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f615])).
% 0.09/0.43  fof(f617,plain,(
% 0.09/0.43    sP14_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f616,f610])).
% 0.09/0.43  fof(f622,plain,(
% 0.09/0.43    ~sP14_prd|sP15_prd|~e0=e0),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f21,f166])).
% 0.09/0.43  fof(f623,plain,(
% 0.09/0.43    ~sP14_prd|sP15_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f622])).
% 0.09/0.43  fof(f624,plain,(
% 0.09/0.43    sP15_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f623,f617])).
% 0.09/0.43  fof(f629,plain,(
% 0.09/0.43    ~sP15_prd|sP16_prd|~e3=e3),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f17,f175])).
% 0.09/0.43  fof(f630,plain,(
% 0.09/0.43    ~sP15_prd|sP16_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f629])).
% 0.09/0.43  fof(f631,plain,(
% 0.09/0.43    sP16_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f630,f624])).
% 0.09/0.43  fof(f636,plain,(
% 0.09/0.43    ~sP16_prd|sP17_prd|~e3=e3),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f17,f184])).
% 0.09/0.43  fof(f637,plain,(
% 0.09/0.43    ~sP16_prd|sP17_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f636])).
% 0.09/0.43  fof(f638,plain,(
% 0.09/0.43    sP17_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f637,f631])).
% 0.09/0.43  fof(f645,plain,(
% 0.09/0.43    ~sP17_prd|sP18_prd|~e2=e2),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f25,f195])).
% 0.09/0.43  fof(f646,plain,(
% 0.09/0.43    ~sP17_prd|sP18_prd),
% 0.09/0.43    inference(trivial_equality_resolution,[status(thm)],[f645])).
% 0.09/0.43  fof(f647,plain,(
% 0.09/0.43    sP18_prd),
% 0.09/0.43    inference(forward_subsumption_resolution,[status(thm)],[f646,f638])).
% 0.09/0.43  fof(f654,plain,(
% 0.09/0.43    ~sP18_prd|sP19_prd|~e2=e2),
% 0.09/0.43    inference(forward_demodulation,[status(thm)],[f19,f204])).
% 0.09/0.44  fof(f655,plain,(
% 0.09/0.44    ~sP18_prd|sP19_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f654])).
% 0.09/0.44  fof(f656,plain,(
% 0.09/0.44    sP19_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f655,f647])).
% 0.09/0.44  fof(f660,plain,(
% 0.09/0.44    ~sP19_prd|sP20_prd|~e1=e1),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f13,f210])).
% 0.09/0.44  fof(f661,plain,(
% 0.09/0.44    ~sP19_prd|sP20_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f660])).
% 0.09/0.44  fof(f662,plain,(
% 0.09/0.44    sP20_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f661,f656])).
% 0.09/0.44  fof(f666,plain,(
% 0.09/0.44    ~sP20_prd|sP21_prd|~e1=e1),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f16,f219])).
% 0.09/0.44  fof(f667,plain,(
% 0.09/0.44    ~sP20_prd|sP21_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f666])).
% 0.09/0.44  fof(f668,plain,(
% 0.09/0.44    sP21_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f667,f662])).
% 0.09/0.44  fof(f674,plain,(
% 0.09/0.44    ~sP21_prd|sP22_prd|~e0=e0),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f21,f230])).
% 0.09/0.44  fof(f675,plain,(
% 0.09/0.44    ~sP21_prd|sP22_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f674])).
% 0.09/0.44  fof(f676,plain,(
% 0.09/0.44    sP22_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f675,f668])).
% 0.09/0.44  fof(f682,plain,(
% 0.09/0.44    ~sP22_prd|sP23_prd|~e0=e0),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f18,f239])).
% 0.09/0.44  fof(f683,plain,(
% 0.09/0.44    ~sP22_prd|sP23_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f682])).
% 0.09/0.44  fof(f684,plain,(
% 0.09/0.44    sP23_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f683,f676])).
% 0.09/0.44  fof(f691,plain,(
% 0.09/0.44    ~sP23_prd|sP24_prd|~e3=e3),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f24,f249])).
% 0.09/0.44  fof(f692,plain,(
% 0.09/0.44    ~sP23_prd|sP24_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f691])).
% 0.09/0.44  fof(f693,plain,(
% 0.09/0.44    sP24_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f692,f684])).
% 0.09/0.44  fof(f700,plain,(
% 0.09/0.44    ~sP24_prd|sP25_prd|~e3=e3),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f15,f258])).
% 0.09/0.44  fof(f701,plain,(
% 0.09/0.44    ~sP24_prd|sP25_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f700])).
% 0.09/0.44  fof(f702,plain,(
% 0.09/0.44    sP25_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f701,f693])).
% 0.09/0.44  fof(f708,plain,(
% 0.09/0.44    ~sP25_prd|sP26_prd|~e2=e2),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f20,f266])).
% 0.09/0.44  fof(f709,plain,(
% 0.09/0.44    ~sP25_prd|sP26_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f708])).
% 0.09/0.44  fof(f710,plain,(
% 0.09/0.44    sP26_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f709,f702])).
% 0.09/0.44  fof(f716,plain,(
% 0.09/0.44    ~sP26_prd|sP27_prd|~e2=e2),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f14,f275])).
% 0.09/0.44  fof(f717,plain,(
% 0.09/0.44    ~sP26_prd|sP27_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f716])).
% 0.09/0.44  fof(f718,plain,(
% 0.09/0.44    sP27_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f717,f710])).
% 0.09/0.44  fof(f723,plain,(
% 0.09/0.44    ~sP27_prd|sP28_prd|~e1=e1),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f16,f283])).
% 0.09/0.44  fof(f724,plain,(
% 0.09/0.44    ~sP27_prd|sP28_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f723])).
% 0.09/0.44  fof(f725,plain,(
% 0.09/0.44    sP28_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f724,f718])).
% 0.09/0.44  fof(f730,plain,(
% 0.09/0.44    ~sP28_prd|sP29_prd|~e1=e1),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f13,f292])).
% 0.09/0.44  fof(f731,plain,(
% 0.09/0.44    ~sP28_prd|sP29_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f730])).
% 0.09/0.44  fof(f732,plain,(
% 0.09/0.44    sP29_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f731,f725])).
% 0.09/0.44  fof(f736,plain,(
% 0.09/0.44    ~sP29_prd|sP30_prd|~e0=e0),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f12,f300])).
% 0.09/0.44  fof(f737,plain,(
% 0.09/0.44    ~sP29_prd|sP30_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f736])).
% 0.09/0.44  fof(f738,plain,(
% 0.09/0.44    sP30_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f737,f732])).
% 0.09/0.44  fof(f742,plain,(
% 0.09/0.44    ~sP30_prd|sP31_prd|~e0=e0),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f12,f309])).
% 0.09/0.44  fof(f743,plain,(
% 0.09/0.44    ~sP30_prd|sP31_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f742])).
% 0.09/0.44  fof(f744,plain,(
% 0.09/0.44    sP31_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f743,f738])).
% 0.09/0.44  fof(f748,plain,(
% 0.09/0.44    ~sP31_prd|sP32_prd|~e0=e0),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f28,f318])).
% 0.09/0.44  fof(f749,plain,(
% 0.09/0.44    ~sP31_prd|sP32_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f748])).
% 0.09/0.44  fof(f750,plain,(
% 0.09/0.44    sP32_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f749,f744])).
% 0.09/0.44  fof(f754,plain,(
% 0.09/0.44    ~sP32_prd|sP33_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),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f27,f327])).
% 0.09/0.44  fof(f755,plain,(
% 0.09/0.44    ~sP32_prd|sP33_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),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f28,f754])).
% 0.09/0.44  fof(f756,plain,(
% 0.09/0.44    ~sP32_prd|sP33_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),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f12,f755])).
% 0.09/0.44  fof(f757,plain,(
% 0.09/0.44    ~sP32_prd|sP33_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),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f28,f756])).
% 0.09/0.44  fof(f758,plain,(
% 0.09/0.44    ~sP32_prd|sP33_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),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f12,f757])).
% 0.09/0.44  fof(f759,plain,(
% 0.09/0.44    ~sP32_prd|sP33_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),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f28,f758])).
% 0.09/0.44  fof(f760,plain,(
% 0.09/0.44    ~sP32_prd|sP33_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),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f13,f759])).
% 0.09/0.44  fof(f761,plain,(
% 0.09/0.44    ~sP32_prd|sP33_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),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f28,f760])).
% 0.09/0.44  fof(f762,plain,(
% 0.09/0.44    ~sP32_prd|sP33_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),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f16,f761])).
% 0.09/0.44  fof(f763,plain,(
% 0.09/0.44    ~sP32_prd|sP33_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),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f28,f762])).
% 0.09/0.44  fof(f764,plain,(
% 0.09/0.44    ~sP32_prd|sP33_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),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f14,f763])).
% 0.09/0.44  fof(f765,plain,(
% 0.09/0.44    ~sP32_prd|sP33_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),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f28,f764])).
% 0.09/0.44  fof(f766,plain,(
% 0.09/0.44    ~sP32_prd|sP33_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~op(unit,e3)=e3|~op(e3,unit)=e3),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f20,f765])).
% 0.09/0.44  fof(f767,plain,(
% 0.09/0.44    ~sP32_prd|sP33_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~op(e0,e3)=e3|~op(e3,unit)=e3),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f28,f766])).
% 0.09/0.44  fof(f768,plain,(
% 0.09/0.44    ~sP32_prd|sP33_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~op(e3,unit)=e3),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f15,f767])).
% 0.09/0.44  fof(f769,plain,(
% 0.09/0.44    ~sP32_prd|sP33_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~op(e3,e0)=e3),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f28,f768])).
% 0.09/0.44  fof(f770,plain,(
% 0.09/0.44    ~sP32_prd|sP33_prd|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~e3=e3),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f24,f769])).
% 0.09/0.44  fof(f771,plain,(
% 0.09/0.44    ~sP32_prd|sP33_prd|~e0=e0|~e1=e1|~e2=e2|~e3=e3),
% 0.09/0.44    inference(duplicate_literals_removal,[status(thm)],[f770])).
% 0.09/0.44  fof(f772,plain,(
% 0.09/0.44    ~sP32_prd|sP33_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f771])).
% 0.09/0.44  fof(f773,plain,(
% 0.09/0.44    sP33_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f772,f750])).
% 0.09/0.44  fof(f840,plain,(
% 0.09/0.44    ~sP33_prd|sP34_prd|~e1=e1),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f26,f345])).
% 0.09/0.44  fof(f841,plain,(
% 0.09/0.44    ~sP33_prd|sP34_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f840])).
% 0.09/0.44  fof(f842,plain,(
% 0.09/0.44    sP34_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f841,f773])).
% 0.09/0.44  fof(f848,plain,(
% 0.09/0.44    ~sP34_prd|sP35_prd|~e2=e2),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f25,f355])).
% 0.09/0.44  fof(f849,plain,(
% 0.09/0.44    ~sP34_prd|sP35_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f848])).
% 0.09/0.44  fof(f850,plain,(
% 0.09/0.44    sP35_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f849,f842])).
% 0.09/0.44  fof(f857,plain,(
% 0.09/0.44    ~sP35_prd|sP36_prd|~e3=e3),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f24,f365])).
% 0.09/0.44  fof(f858,plain,(
% 0.09/0.44    ~sP35_prd|sP36_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f857])).
% 0.09/0.44  fof(f859,plain,(
% 0.09/0.44    sP36_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f858,f850])).
% 0.09/0.44  fof(f864,plain,(
% 0.09/0.44    ~sP36_prd|sP37_prd|~e1=e1),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f23,f372])).
% 0.09/0.44  fof(f865,plain,(
% 0.09/0.44    ~sP36_prd|sP37_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f864])).
% 0.09/0.44  fof(f866,plain,(
% 0.09/0.44    sP37_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f865,f859])).
% 0.09/0.44  fof(f873,plain,(
% 0.09/0.44    ~sP37_prd|sP38_prd|~e3=e3),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f22,f383])).
% 0.09/0.44  fof(f874,plain,(
% 0.09/0.44    ~sP37_prd|sP38_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f873])).
% 0.09/0.44  fof(f875,plain,(
% 0.09/0.44    sP38_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f874,f866])).
% 0.09/0.44  fof(f879,plain,(
% 0.09/0.44    ~sP38_prd|sP39_prd|~e0=e0),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f21,f389])).
% 0.09/0.44  fof(f880,plain,(
% 0.09/0.44    ~sP38_prd|sP39_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f879])).
% 0.09/0.44  fof(f881,plain,(
% 0.09/0.44    sP39_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f880,f875])).
% 0.09/0.44  fof(f887,plain,(
% 0.09/0.44    ~sP39_prd|sP40_prd|~e2=e2),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f20,f400])).
% 0.09/0.44  fof(f888,plain,(
% 0.09/0.44    ~sP39_prd|sP40_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f887])).
% 0.09/0.44  fof(f889,plain,(
% 0.09/0.44    sP40_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f888,f881])).
% 0.09/0.44  fof(f895,plain,(
% 0.09/0.44    ~sP40_prd|sP41_prd|~e2=e2),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f19,f409])).
% 0.09/0.44  fof(f896,plain,(
% 0.09/0.44    ~sP40_prd|sP41_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f895])).
% 0.09/0.44  fof(f897,plain,(
% 0.09/0.44    sP41_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f896,f889])).
% 0.09/0.44  fof(f901,plain,(
% 0.09/0.44    ~sP41_prd|sP42_prd|~e0=e0),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f18,f416])).
% 0.09/0.44  fof(f902,plain,(
% 0.09/0.44    ~sP41_prd|sP42_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f901])).
% 0.09/0.44  fof(f903,plain,(
% 0.09/0.44    sP42_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f902,f897])).
% 0.09/0.44  fof(f910,plain,(
% 0.09/0.44    ~sP42_prd|sP43_prd|~e3=e3),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f17,f428])).
% 0.09/0.44  fof(f911,plain,(
% 0.09/0.44    ~sP42_prd|sP43_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f910])).
% 0.09/0.44  fof(f912,plain,(
% 0.09/0.44    sP43_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f911,f903])).
% 0.09/0.44  fof(f917,plain,(
% 0.09/0.44    ~sP43_prd|sP44_prd|~e1=e1),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f16,f435])).
% 0.09/0.44  fof(f918,plain,(
% 0.09/0.44    ~sP43_prd|sP44_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f917])).
% 0.09/0.44  fof(f919,plain,(
% 0.09/0.44    sP44_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f918,f912])).
% 0.09/0.44  fof(f926,plain,(
% 0.09/0.44    ~sP44_prd|sP45_prd|~e3=e3),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f15,f446])).
% 0.09/0.44  fof(f927,plain,(
% 0.09/0.44    ~sP44_prd|sP45_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f926])).
% 0.09/0.44  fof(f928,plain,(
% 0.09/0.44    sP45_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f927,f919])).
% 0.09/0.44  fof(f934,plain,(
% 0.09/0.44    ~sP45_prd|sP46_prd|~e2=e2),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f14,f454])).
% 0.09/0.44  fof(f935,plain,(
% 0.09/0.44    ~sP45_prd|sP46_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f934])).
% 0.09/0.44  fof(f936,plain,(
% 0.09/0.44    sP46_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f935,f928])).
% 0.09/0.44  fof(f941,plain,(
% 0.09/0.44    ~sP46_prd|sP47_prd|~e1=e1),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f13,f462])).
% 0.09/0.44  fof(f942,plain,(
% 0.09/0.44    ~sP46_prd|sP47_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f941])).
% 0.09/0.44  fof(f943,plain,(
% 0.09/0.44    sP47_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f942,f936])).
% 0.09/0.44  fof(f947,plain,(
% 0.09/0.44    ~sP47_prd|sP48_prd|~e0=e0),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f12,f470])).
% 0.09/0.44  fof(f948,plain,(
% 0.09/0.44    ~sP47_prd|sP48_prd),
% 0.09/0.44    inference(trivial_equality_resolution,[status(thm)],[f947])).
% 0.09/0.44  fof(f949,plain,(
% 0.09/0.44    sP48_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f948,f943])).
% 0.09/0.44  fof(f953,plain,(
% 0.09/0.44    ~sP48_prd|sP49_prd|e0=e3),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f12,f479])).
% 0.09/0.44  fof(f954,plain,(
% 0.09/0.44    sP49_prd|e0=e3),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f953,f949])).
% 0.09/0.44  fof(f962,plain,(
% 0.09/0.44    ~sP49_prd|sP50_prd|e0=e2),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f12,f488])).
% 0.09/0.44  fof(f963,plain,(
% 0.09/0.44    ~sP49_prd|sP50_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f962,f7])).
% 0.09/0.44  fof(f972,plain,(
% 0.09/0.44    ~sP50_prd|sP51_prd|e0=e1),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f12,f497])).
% 0.09/0.44  fof(f973,plain,(
% 0.09/0.44    ~sP50_prd|sP51_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f972,f6])).
% 0.09/0.44  fof(f982,plain,(
% 0.09/0.44    ~sP51_prd|e3=e0),
% 0.09/0.44    inference(forward_demodulation,[status(thm)],[f17,f505])).
% 0.09/0.44  fof(f983,plain,(
% 0.09/0.44    ~sP50_prd),
% 0.09/0.44    inference(backward_subsumption_resolution,[status(thm)],[f973,f984])).
% 0.09/0.44  fof(f984,plain,(
% 0.09/0.44    ~sP51_prd),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f982,f8])).
% 0.09/0.44  fof(f992,plain,(
% 0.09/0.44    ~sP49_prd),
% 0.09/0.44    inference(backward_subsumption_resolution,[status(thm)],[f963,f983])).
% 0.09/0.44  fof(f993,plain,(
% 0.09/0.44    e0=e3),
% 0.09/0.44    inference(backward_subsumption_resolution,[status(thm)],[f954,f992])).
% 0.09/0.44  fof(f994,plain,(
% 0.09/0.44    $false),
% 0.09/0.44    inference(forward_subsumption_resolution,[status(thm)],[f993,f8])).
% 0.09/0.44  % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.47  % Elapsed time: 0.083541 seconds
% 0.09/0.47  % CPU time: 0.203429 seconds
% 0.09/0.47  % Total memory used: 80.982 MB
% 0.09/0.47  % Net memory used: 80.764 MB
%------------------------------------------------------------------------------