%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG066+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 : n020.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 11:49:33 AM UTC 2026
% Result : Theorem 0.14s 5.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG066+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
% 0.09/5.36 % Computer : n020.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 12:56:09 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.14/5.40 % Drodi V4.1.1
% 0.14/5.55 % Refutation found
% 0.14/5.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.55 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.55 fof(f1,axiom,(
% 0.14/5.55 ( ( op(e0,e0) = e0| op(e0,e0) = e1| op(e0,e0) = e2| op(e0,e0) = e3| op(e0,e0) = e4 )& ( op(e0,e1) = e0| op(e0,e1) = e1| op(e0,e1) = e2| op(e0,e1) = e3| op(e0,e1) = e4 )& ( op(e0,e2) = e0| op(e0,e2) = e1| op(e0,e2) = e2| op(e0,e2) = e3| op(e0,e2) = e4 )& ( op(e0,e3) = e0| op(e0,e3) = e1| op(e0,e3) = e2| op(e0,e3) = e3| op(e0,e3) = e4 )& ( op(e0,e4) = e0| op(e0,e4) = e1| op(e0,e4) = e2| op(e0,e4) = e3| op(e0,e4) = e4 )& ( op(e1,e0) = e0| op(e1,e0) = e1| op(e1,e0) = e2| op(e1,e0) = e3| op(e1,e0) = e4 )& ( op(e1,e1) = e0| op(e1,e1) = e1| op(e1,e1) = e2| op(e1,e1) = e3| op(e1,e1) = e4 )& ( op(e1,e2) = e0| op(e1,e2) = e1| op(e1,e2) = e2| op(e1,e2) = e3| op(e1,e2) = e4 )& ( op(e1,e3) = e0| op(e1,e3) = e1| op(e1,e3) = e2| op(e1,e3) = e3| op(e1,e3) = e4 )& ( op(e1,e4) = e0| op(e1,e4) = e1| op(e1,e4) = e2| op(e1,e4) = e3| op(e1,e4) = e4 )& ( op(e2,e0) = e0| op(e2,e0) = e1| op(e2,e0) = e2| op(e2,e0) = e3| op(e2,e0) = e4 )& ( op(e2,e1) = e0| op(e2,e1) = e1| op(e2,e1) = e2| op(e2,e1) = e3| op(e2,e1) = e4 )& ( op(e2,e2) = e0| op(e2,e2) = e1| op(e2,e2) = e2| op(e2,e2) = e3| op(e2,e2) = e4 )& ( op(e2,e3) = e0| op(e2,e3) = e1| op(e2,e3) = e2| op(e2,e3) = e3| op(e2,e3) = e4 )& ( op(e2,e4) = e0| op(e2,e4) = e1| op(e2,e4) = e2| op(e2,e4) = e3| op(e2,e4) = e4 )& ( op(e3,e0) = e0| op(e3,e0) = e1| op(e3,e0) = e2| op(e3,e0) = e3| op(e3,e0) = e4 )& ( op(e3,e1) = e0| op(e3,e1) = e1| op(e3,e1) = e2| op(e3,e1) = e3| op(e3,e1) = e4 )& ( op(e3,e2) = e0| op(e3,e2) = e1| op(e3,e2) = e2| op(e3,e2) = e3| op(e3,e2) = e4 )& ( op(e3,e3) = e0| op(e3,e3) = e1| op(e3,e3) = e2| op(e3,e3) = e3| op(e3,e3) = e4 )& ( op(e3,e4) = e0| op(e3,e4) = e1| op(e3,e4) = e2| op(e3,e4) = e3| op(e3,e4) = e4 )& ( op(e4,e0) = e0| op(e4,e0) = e1| op(e4,e0) = e2| op(e4,e0) = e3| op(e4,e0) = e4 )& ( op(e4,e1) = e0| op(e4,e1) = e1| op(e4,e1) = e2| op(e4,e1) = e3| op(e4,e1) = e4 )& ( op(e4,e2) = e0| op(e4,e2) = e1| op(e4,e2) = e2| op(e4,e2) = e3| op(e4,e2) = e4 )& ( op(e4,e3) = e0| op(e4,e3) = e1| op(e4,e3) = e2| op(e4,e3) = e3| op(e4,e3) = e4 )& ( op(e4,e4) = e0| op(e4,e4) = e1| op(e4,e4) = e2| op(e4,e4) = e3| op(e4,e4) = e4 ) ) ),
% 0.14/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.55 fof(f2,axiom,(
% 0.14/5.55 ( op(unit,e0) = e0& op(e0,unit) = e0& op(unit,e1) = e1& op(e1,unit) = e1& op(unit,e2) = e2& op(e2,unit) = e2& op(unit,e3) = e3& op(e3,unit) = e3& op(unit,e4) = e4& op(e4,unit) = e4& ( unit = e0| unit = e1| unit = e2| unit = e3| unit = e4 ) ) ),
% 0.14/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.55 fof(f3,axiom,(
% 0.14/5.55 ( ( op(e0,e0) = e0| op(e0,e1) = e0| op(e0,e2) = e0| op(e0,e3) = e0| op(e0,e4) = e0 )& ( op(e0,e0) = e0| op(e1,e0) = e0| op(e2,e0) = e0| op(e3,e0) = e0| op(e4,e0) = e0 )& ( op(e0,e0) = e1| op(e0,e1) = e1| op(e0,e2) = e1| op(e0,e3) = e1| op(e0,e4) = e1 )& ( op(e0,e0) = e1| op(e1,e0) = e1| op(e2,e0) = e1| op(e3,e0) = e1| op(e4,e0) = e1 )& ( op(e0,e0) = e2| op(e0,e1) = e2| op(e0,e2) = e2| op(e0,e3) = e2| op(e0,e4) = e2 )& ( op(e0,e0) = e2| op(e1,e0) = e2| op(e2,e0) = e2| op(e3,e0) = e2| op(e4,e0) = e2 )& ( op(e0,e0) = e3| op(e0,e1) = e3| op(e0,e2) = e3| op(e0,e3) = e3| op(e0,e4) = e3 )& ( op(e0,e0) = e3| op(e1,e0) = e3| op(e2,e0) = e3| op(e3,e0) = e3| op(e4,e0) = e3 )& ( op(e0,e0) = e4| op(e0,e1) = e4| op(e0,e2) = e4| op(e0,e3) = e4| op(e0,e4) = e4 )& ( op(e0,e0) = e4| op(e1,e0) = e4| op(e2,e0) = e4| op(e3,e0) = e4| op(e4,e0) = e4 )& ( op(e1,e0) = e0| op(e1,e1) = e0| op(e1,e2) = e0| op(e1,e3) = e0| op(e1,e4) = e0 )& ( op(e0,e1) = e0| op(e1,e1) = e0| op(e2,e1) = e0| op(e3,e1) = e0| op(e4,e1) = e0 )& ( op(e1,e0) = e1| op(e1,e1) = e1| op(e1,e2) = e1| op(e1,e3) = e1| op(e1,e4) = e1 )& ( op(e0,e1) = e1| op(e1,e1) = e1| op(e2,e1) = e1| op(e3,e1) = e1| op(e4,e1) = e1 )& ( op(e1,e0) = e2| op(e1,e1) = e2| op(e1,e2) = e2| op(e1,e3) = e2| op(e1,e4) = e2 )& ( op(e0,e1) = e2| op(e1,e1) = e2| op(e2,e1) = e2| op(e3,e1) = e2| op(e4,e1) = e2 )& ( op(e1,e0) = e3| op(e1,e1) = e3| op(e1,e2) = e3| op(e1,e3) = e3| op(e1,e4) = e3 )& ( op(e0,e1) = e3| op(e1,e1) = e3| op(e2,e1) = e3| op(e3,e1) = e3| op(e4,e1) = e3 )& ( op(e1,e0) = e4| op(e1,e1) = e4| op(e1,e2) = e4| op(e1,e3) = e4| op(e1,e4) = e4 )& ( op(e0,e1) = e4| op(e1,e1) = e4| op(e2,e1) = e4| op(e3,e1) = e4| op(e4,e1) = e4 )& ( op(e2,e0) = e0| op(e2,e1) = e0| op(e2,e2) = e0| op(e2,e3) = e0| op(e2,e4) = e0 )& ( op(e0,e2) = e0| op(e1,e2) = e0| op(e2,e2) = e0| op(e3,e2) = e0| op(e4,e2) = e0 )& ( op(e2,e0) = e1| op(e2,e1) = e1| op(e2,e2) = e1| op(e2,e3) = e1| op(e2,e4) = e1 )& ( op(e0,e2) = e1| op(e1,e2) = e1| op(e2,e2) = e1| op(e3,e2) = e1| op(e4,e2) = e1 )& ( op(e2,e0) = e2| op(e2,e1) = e2| op(e2,e2) = e2| op(e2,e3) = e2| op(e2,e4) = e2 )& ( op(e0,e2) = e2| op(e1,e2) = e2| op(e2,e2) = e2| op(e3,e2) = e2| op(e4,e2) = e2 )& ( op(e2,e0) = e3| op(e2,e1) = e3| op(e2,e2) = e3| op(e2,e3) = e3| op(e2,e4) = e3 )& ( op(e0,e2) = e3| op(e1,e2) = e3| op(e2,e2) = e3| op(e3,e2) = e3| op(e4,e2) = e3 )& ( op(e2,e0) = e4| op(e2,e1) = e4| op(e2,e2) = e4| op(e2,e3) = e4| op(e2,e4) = e4 )& ( op(e0,e2) = e4| op(e1,e2) = e4| op(e2,e2) = e4| op(e3,e2) = e4| op(e4,e2) = e4 )& ( op(e3,e0) = e0| op(e3,e1) = e0| op(e3,e2) = e0| op(e3,e3) = e0| op(e3,e4) = e0 )& ( op(e0,e3) = e0| op(e1,e3) = e0| op(e2,e3) = e0| op(e3,e3) = e0| op(e4,e3) = e0 )& ( op(e3,e0) = e1| op(e3,e1) = e1| op(e3,e2) = e1| op(e3,e3) = e1| op(e3,e4) = e1 )& ( op(e0,e3) = e1| op(e1,e3) = e1| op(e2,e3) = e1| op(e3,e3) = e1| op(e4,e3) = e1 )& ( op(e3,e0) = e2| op(e3,e1) = e2| op(e3,e2) = e2| op(e3,e3) = e2| op(e3,e4) = e2 )& ( op(e0,e3) = e2| op(e1,e3) = e2| op(e2,e3) = e2| op(e3,e3) = e2| op(e4,e3) = e2 )& ( op(e3,e0) = e3| op(e3,e1) = e3| op(e3,e2) = e3| op(e3,e3) = e3| op(e3,e4) = e3 )& ( op(e0,e3) = e3| op(e1,e3) = e3| op(e2,e3) = e3| op(e3,e3) = e3| op(e4,e3) = e3 )& ( op(e3,e0) = e4| op(e3,e1) = e4| op(e3,e2) = e4| op(e3,e3) = e4| op(e3,e4) = e4 )& ( op(e0,e3) = e4| op(e1,e3) = e4| op(e2,e3) = e4| op(e3,e3) = e4| op(e4,e3) = e4 )& ( op(e4,e0) = e0| op(e4,e1) = e0| op(e4,e2) = e0| op(e4,e3) = e0| op(e4,e4) = e0 )& ( op(e0,e4) = e0| op(e1,e4) = e0| op(e2,e4) = e0| op(e3,e4) = e0| op(e4,e4) = e0 )& ( op(e4,e0) = e1| op(e4,e1) = e1| op(e4,e2) = e1| op(e4,e3) = e1| op(e4,e4) = e1 )& ( op(e0,e4) = e1| op(e1,e4) = e1| op(e2,e4) = e1| op(e3,e4) = e1| op(e4,e4) = e1 )& ( op(e4,e0) = e2| op(e4,e1) = e2| op(e4,e2) = e2| op(e4,e3) = e2| op(e4,e4) = e2 )& ( op(e0,e4) = e2| op(e1,e4) = e2| op(e2,e4) = e2| op(e3,e4) = e2| op(e4,e4) = e2 )& ( op(e4,e0) = e3| op(e4,e1) = e3| op(e4,e2) = e3| op(e4,e3) = e3| op(e4,e4) = e3 )& ( op(e0,e4) = e3| op(e1,e4) = e3| op(e2,e4) = e3| op(e3,e4) = e3| op(e4,e4) = e3 )& ( op(e4,e0) = e4| op(e4,e1) = e4| op(e4,e2) = e4| op(e4,e3) = e4| op(e4,e4) = e4 )& ( op(e0,e4) = e4| op(e1,e4) = e4| op(e2,e4) = e4| op(e3,e4) = e4| op(e4,e4) = e4 ) ) ),
% 0.14/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.55 fof(f4,axiom,(
% 0.14/5.55 ( op(e0,e0) != op(e1,e0)& op(e0,e0) != op(e2,e0)& op(e0,e0) != op(e3,e0)& op(e0,e0) != op(e4,e0)& op(e1,e0) != op(e2,e0)& op(e1,e0) != op(e3,e0)& op(e1,e0) != op(e4,e0)& op(e2,e0) != op(e3,e0)& op(e2,e0) != op(e4,e0)& op(e3,e0) != op(e4,e0)& op(e0,e1) != op(e1,e1)& op(e0,e1) != op(e2,e1)& op(e0,e1) != op(e3,e1)& op(e0,e1) != op(e4,e1)& op(e1,e1) != op(e2,e1)& op(e1,e1) != op(e3,e1)& op(e1,e1) != op(e4,e1)& op(e2,e1) != op(e3,e1)& op(e2,e1) != op(e4,e1)& op(e3,e1) != op(e4,e1)& op(e0,e2) != op(e1,e2)& op(e0,e2) != op(e2,e2)& op(e0,e2) != op(e3,e2)& op(e0,e2) != op(e4,e2)& op(e1,e2) != op(e2,e2)& op(e1,e2) != op(e3,e2)& op(e1,e2) != op(e4,e2)& op(e2,e2) != op(e3,e2)& op(e2,e2) != op(e4,e2)& op(e3,e2) != op(e4,e2)& op(e0,e3) != op(e1,e3)& op(e0,e3) != op(e2,e3)& op(e0,e3) != op(e3,e3)& op(e0,e3) != op(e4,e3)& op(e1,e3) != op(e2,e3)& op(e1,e3) != op(e3,e3)& op(e1,e3) != op(e4,e3)& op(e2,e3) != op(e3,e3)& op(e2,e3) != op(e4,e3)& op(e3,e3) != op(e4,e3)& op(e0,e4) != op(e1,e4)& op(e0,e4) != op(e2,e4)& op(e0,e4) != op(e3,e4)& op(e0,e4) != op(e4,e4)& op(e1,e4) != op(e2,e4)& op(e1,e4) != op(e3,e4)& op(e1,e4) != op(e4,e4)& op(e2,e4) != op(e3,e4)& op(e2,e4) != op(e4,e4)& op(e3,e4) != op(e4,e4)& op(e0,e0) != op(e0,e1)& op(e0,e0) != op(e0,e2)& op(e0,e0) != op(e0,e3)& op(e0,e0) != op(e0,e4)& op(e0,e1) != op(e0,e2)& op(e0,e1) != op(e0,e3)& op(e0,e1) != op(e0,e4)& op(e0,e2) != op(e0,e3)& op(e0,e2) != op(e0,e4)& op(e0,e3) != op(e0,e4)& op(e1,e0) != op(e1,e1)& op(e1,e0) != op(e1,e2)& op(e1,e0) != op(e1,e3)& op(e1,e0) != op(e1,e4)& op(e1,e1) != op(e1,e2)& op(e1,e1) != op(e1,e3)& op(e1,e1) != op(e1,e4)& op(e1,e2) != op(e1,e3)& op(e1,e2) != op(e1,e4)& op(e1,e3) != op(e1,e4)& op(e2,e0) != op(e2,e1)& op(e2,e0) != op(e2,e2)& op(e2,e0) != op(e2,e3)& op(e2,e0) != op(e2,e4)& op(e2,e1) != op(e2,e2)& op(e2,e1) != op(e2,e3)& op(e2,e1) != op(e2,e4)& op(e2,e2) != op(e2,e3)& op(e2,e2) != op(e2,e4)& op(e2,e3) != op(e2,e4)& op(e3,e0) != op(e3,e1)& op(e3,e0) != op(e3,e2)& op(e3,e0) != op(e3,e3)& op(e3,e0) != op(e3,e4)& op(e3,e1) != op(e3,e2)& op(e3,e1) != op(e3,e3)& op(e3,e1) != op(e3,e4)& op(e3,e2) != op(e3,e3)& op(e3,e2) != op(e3,e4)& op(e3,e3) != op(e3,e4)& op(e4,e0) != op(e4,e1)& op(e4,e0) != op(e4,e2)& op(e4,e0) != op(e4,e3)& op(e4,e0) != op(e4,e4)& op(e4,e1) != op(e4,e2)& op(e4,e1) != op(e4,e3)& op(e4,e1) != op(e4,e4)& op(e4,e2) != op(e4,e3)& op(e4,e2) != op(e4,e4)& op(e4,e3) != op(e4,e4) ) ),
% 0.14/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.55 fof(f5,axiom,(
% 0.14/5.55 ( e0 != e1& e0 != e2& e0 != e3& e0 != e4& e1 != e2& e1 != e3& e1 != e4& e2 != e3& e2 != e4& e3 != e4 ) ),
% 0.14/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.55 fof(f6,axiom,(
% 0.14/5.55 ( e0 = op(op(e4,e2),op(e4,e2))& e1 = op(e4,e2)& e3 = op(e2,e4) ) ),
% 0.14/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.55 fof(f7,conjecture,(
% 0.14/5.55 ~ ( ( op(e0,e0) != e0| op(e0,e0) = e0 )& ( op(e0,e0) != e1| op(e0,e1) = e0 )& ( op(e0,e0) != e2| op(e0,e2) = e0 )& ( op(e0,e0) != e3| op(e0,e3) = e0 )& ( op(e0,e0) != e4| op(e0,e4) = e0 )& ( op(e1,e1) != e0| op(e1,e0) = e1 )& ( op(e1,e1) != e1| op(e1,e1) = e1 )& ( op(e1,e1) != e2| op(e1,e2) = e1 )& ( op(e1,e1) != e3| op(e1,e3) = e1 )& ( op(e1,e1) != e4| op(e1,e4) = e1 )& ( op(e2,e2) != e0| op(e2,e0) = e2 )& ( op(e2,e2) != e1| op(e2,e1) = e2 )& ( op(e2,e2) != e2| op(e2,e2) = e2 )& ( op(e2,e2) != e3| op(e2,e3) = e2 )& ( op(e2,e2) != e4| op(e2,e4) = e2 )& ( op(e3,e3) != e0| op(e3,e0) = e3 )& ( op(e3,e3) != e1| op(e3,e1) = e3 )& ( op(e3,e3) != e2| op(e3,e2) = e3 )& ( op(e3,e3) != e3| op(e3,e3) = e3 )& ( op(e3,e3) != e4| op(e3,e4) = e3 )& ( op(e4,e4) != e0| op(e4,e0) = e4 )& ( op(e4,e4) != e1| op(e4,e1) = e4 )& ( op(e4,e4) != e2| op(e4,e2) = e4 )& ( op(e4,e4) != e3| op(e4,e3) = e4 )& ( op(e4,e4) != e4| op(e4,e4) = e4 )& ( ( ( op(e0,e0) != e0| ( op(e0,e0) = e0& e0 != unit ) )& ( op(e0,e1) != e0| ( op(e0,e0) = e1& e0 != unit ) )& ( op(e0,e2) != e0| ( op(e0,e0) = e2& e0 != unit ) )& ( op(e0,e3) != e0| ( op(e0,e0) = e3& e0 != unit ) )& ( op(e0,e4) != e0| ( op(e0,e0) = e4& e0 != unit ) )& ( op(e1,e0) != e0| ( op(e1,e0) = e0& e0 != unit ) )& ( op(e1,e1) != e0| ( op(e1,e0) = e1& e0 != unit ) )& ( op(e1,e2) != e0| ( op(e1,e0) = e2& e0 != unit ) )& ( op(e1,e3) != e0| ( op(e1,e0) = e3& e0 != unit ) )& ( op(e1,e4) != e0| ( op(e1,e0) = e4& e0 != unit ) )& ( op(e2,e0) != e0| ( op(e2,e0) = e0& e0 != unit ) )& ( op(e2,e1) != e0| ( op(e2,e0) = e1& e0 != unit ) )& ( op(e2,e2) != e0| ( op(e2,e0) = e2& e0 != unit ) )& ( op(e2,e3) != e0| ( op(e2,e0) = e3& e0 != unit ) )& ( op(e2,e4) != e0| ( op(e2,e0) = e4& e0 != unit ) )& ( op(e3,e0) != e0| ( op(e3,e0) = e0& e0 != unit ) )& ( op(e3,e1) != e0| ( op(e3,e0) = e1& e0 != unit ) )& ( op(e3,e2) != e0| ( op(e3,e0) = e2& e0 != unit ) )& ( op(e3,e3) != e0| ( op(e3,e0) = e3& e0 != unit ) )& ( op(e3,e4) != e0| ( op(e3,e0) = e4& e0 != unit ) )& ( op(e4,e0) != e0| ( op(e4,e0) = e0& e0 != unit ) )& ( op(e4,e1) != e0| ( op(e4,e0) = e1& e0 != unit ) )& ( op(e4,e2) != e0| ( op(e4,e0) = e2& e0 != unit ) )& ( op(e4,e3) != e0| ( op(e4,e0) = e3& e0 != unit ) )& ( op(e4,e4) != e0| ( op(e4,e0) = e4& e0 != unit ) ) )| ( ( op(e0,e0) != e1| ( op(e0,e1) = e0& e1 != unit ) )& ( op(e0,e1) != e1| ( op(e0,e1) = e1& e1 != unit ) )& ( op(e0,e2) != e1| ( op(e0,e1) = e2& e1 != unit ) )& ( op(e0,e3) != e1| ( op(e0,e1) = e3& e1 != unit ) )& ( op(e0,e4) != e1| ( op(e0,e1) = e4& e1 != unit ) )& ( op(e1,e0) != e1| ( op(e1,e1) = e0& e1 != unit ) )& ( op(e1,e1) != e1| ( op(e1,e1) = e1& e1 != unit ) )& ( op(e1,e2) != e1| ( op(e1,e1) = e2& e1 != unit ) )& ( op(e1,e3) != e1| ( op(e1,e1) = e3& e1 != unit ) )& ( op(e1,e4) != e1| ( op(e1,e1) = e4& e1 != unit ) )& ( op(e2,e0) != e1| ( op(e2,e1) = e0& e1 != unit ) )& ( op(e2,e1) != e1| ( op(e2,e1) = e1& e1 != unit ) )& ( op(e2,e2) != e1| ( op(e2,e1) = e2& e1 != unit ) )& ( op(e2,e3) != e1| ( op(e2,e1) = e3& e1 != unit ) )& ( op(e2,e4) != e1| ( op(e2,e1) = e4& e1 != unit ) )& ( op(e3,e0) != e1| ( op(e3,e1) = e0& e1 != unit ) )& ( op(e3,e1) != e1| ( op(e3,e1) = e1& e1 != unit ) )& ( op(e3,e2) != e1| ( op(e3,e1) = e2& e1 != unit ) )& ( op(e3,e3) != e1| ( op(e3,e1) = e3& e1 != unit ) )& ( op(e3,e4) != e1| ( op(e3,e1) = e4& e1 != unit ) )& ( op(e4,e0) != e1| ( op(e4,e1) = e0& e1 != unit ) )& ( op(e4,e1) != e1| ( op(e4,e1) = e1& e1 != unit ) )& ( op(e4,e2) != e1| ( op(e4,e1) = e2& e1 != unit ) )& ( op(e4,e3) != e1| ( op(e4,e1) = e3& e1 != unit ) )& ( op(e4,e4) != e1| ( op(e4,e1) = e4& e1 != unit ) ) )| ( ( op(e0,e0) != e2| ( op(e0,e2) = e0& e2 != unit ) )& ( op(e0,e1) != e2| ( op(e0,e2) = e1& e2 != unit ) )& ( op(e0,e2) != e2| ( op(e0,e2) = e2& e2 != unit ) )& ( op(e0,e3) != e2| ( op(e0,e2) = e3& e2 != unit ) )& ( op(e0,e4) != e2| ( op(e0,e2) = e4& e2 != unit ) )& ( op(e1,e0) != e2| ( op(e1,e2) = e0& e2 != unit ) )& ( op(e1,e1) != e2| ( op(e1,e2) = e1& e2 != unit ) )& ( op(e1,e2) != e2| ( op(e1,e2) = e2& e2 != unit ) )& ( op(e1,e3) != e2| ( op(e1,e2) = e3& e2 != unit ) )& ( op(e1,e4) != e2| ( op(e1,e2) = e4& e2 != unit ) )& ( op(e2,e0) != e2| ( op(e2,e2) = e0& e2 != unit ) )& ( op(e2,e1) != e2| ( op(e2,e2) = e1& e2 != unit ) )& ( op(e2,e2) != e2| ( op(e2,e2) = e2& e2 != unit ) )& ( op(e2,e3) != e2| ( op(e2,e2) = e3& e2 != unit ) )& ( op(e2,e4) != e2| ( op(e2,e2) = e4& e2 != unit ) )& ( op(e3,e0) != e2| ( op(e3,e2) = e0& e2 != unit ) )& ( op(e3,e1) != e2| ( op(e3,e2) = e1& e2 != unit ) )& ( op(e3,e2) != e2| ( op(e3,e2) = e2& e2 != unit ) )& ( op(e3,e3) != e2| ( op(e3,e2) = e3& e2 != unit ) )& ( op(e3,e4) != e2| ( op(e3,e2) = e4& e2 != unit ) )& ( op(e4,e0) != e2| ( op(e4,e2) = e0& e2 != unit ) )& ( op(e4,e1) != e2| ( op(e4,e2) = e1& e2 != unit ) )& ( op(e4,e2) != e2| ( op(e4,e2) = e2& e2 != unit ) )& ( op(e4,e3) != e2| ( op(e4,e2) = e3& e2 != unit ) )& ( op(e4,e4) != e2| ( op(e4,e2) = e4& e2 != unit ) ) )| ( ( op(e0,e0) != e3| ( op(e0,e3) = e0& e3 != unit ) )& ( op(e0,e1) != e3| ( op(e0,e3) = e1& e3 != unit ) )& ( op(e0,e2) != e3| ( op(e0,e3) = e2& e3 != unit ) )& ( op(e0,e3) != e3| ( op(e0,e3) = e3& e3 != unit ) )& ( op(e0,e4) != e3| ( op(e0,e3) = e4& e3 != unit ) )& ( op(e1,e0) != e3| ( op(e1,e3) = e0& e3 != unit ) )& ( op(e1,e1) != e3| ( op(e1,e3) = e1& e3 != unit ) )& ( op(e1,e2) != e3| ( op(e1,e3) = e2& e3 != unit ) )& ( op(e1,e3) != e3| ( op(e1,e3) = e3& e3 != unit ) )& ( op(e1,e4) != e3| ( op(e1,e3) = e4& e3 != unit ) )& ( op(e2,e0) != e3| ( op(e2,e3) = e0& e3 != unit ) )& ( op(e2,e1) != e3| ( op(e2,e3) = e1& e3 != unit ) )& ( op(e2,e2) != e3| ( op(e2,e3) = e2& e3 != unit ) )& ( op(e2,e3) != e3| ( op(e2,e3) = e3& e3 != unit ) )& ( op(e2,e4) != e3| ( op(e2,e3) = e4& e3 != unit ) )& ( op(e3,e0) != e3| ( op(e3,e3) = e0& e3 != unit ) )& ( op(e3,e1) != e3| ( op(e3,e3) = e1& e3 != unit ) )& ( op(e3,e2) != e3| ( op(e3,e3) = e2& e3 != unit ) )& ( op(e3,e3) != e3| ( op(e3,e3) = e3& e3 != unit ) )& ( op(e3,e4) != e3| ( op(e3,e3) = e4& e3 != unit ) )& ( op(e4,e0) != e3| ( op(e4,e3) = e0& e3 != unit ) )& ( op(e4,e1) != e3| ( op(e4,e3) = e1& e3 != unit ) )& ( op(e4,e2) != e3| ( op(e4,e3) = e2& e3 != unit ) )& ( op(e4,e3) != e3| ( op(e4,e3) = e3& e3 != unit ) )& ( op(e4,e4) != e3| ( op(e4,e3) = e4& e3 != unit ) ) )| ( ( op(e0,e0) != e4| ( op(e0,e4) = e0& e4 != unit ) )& ( op(e0,e1) != e4| ( op(e0,e4) = e1& e4 != unit ) )& ( op(e0,e2) != e4| ( op(e0,e4) = e2& e4 != unit ) )& ( op(e0,e3) != e4| ( op(e0,e4) = e3& e4 != unit ) )& ( op(e0,e4) != e4| ( op(e0,e4) = e4& e4 != unit ) )& ( op(e1,e0) != e4| ( op(e1,e4) = e0& e4 != unit ) )& ( op(e1,e1) != e4| ( op(e1,e4) = e1& e4 != unit ) )& ( op(e1,e2) != e4| ( op(e1,e4) = e2& e4 != unit ) )& ( op(e1,e3) != e4| ( op(e1,e4) = e3& e4 != unit ) )& ( op(e1,e4) != e4| ( op(e1,e4) = e4& e4 != unit ) )& ( op(e2,e0) != e4| ( op(e2,e4) = e0& e4 != unit ) )& ( op(e2,e1) != e4| ( op(e2,e4) = e1& e4 != unit ) )& ( op(e2,e2) != e4| ( op(e2,e4) = e2& e4 != unit ) )& ( op(e2,e3) != e4| ( op(e2,e4) = e3& e4 != unit ) )& ( op(e2,e4) != e4| ( op(e2,e4) = e4& e4 != unit ) )& ( op(e3,e0) != e4| ( op(e3,e4) = e0& e4 != unit ) )& ( op(e3,e1) != e4| ( op(e3,e4) = e1& e4 != unit ) )& ( op(e3,e2) != e4| ( op(e3,e4) = e2& e4 != unit ) )& ( op(e3,e3) != e4| ( op(e3,e4) = e3& e4 != unit ) )& ( op(e3,e4) != e4| ( op(e3,e4) = e4& e4 != unit ) )& ( op(e4,e0) != e4| ( op(e4,e4) = e0& e4 != unit ) )& ( op(e4,e1) != e4| ( op(e4,e4) = e1& e4 != unit ) )& ( op(e4,e2) != e4| ( op(e4,e4) = e2& e4 != unit ) )& ( op(e4,e3) != e4| ( op(e4,e4) = e3& e4 != unit ) )& ( op(e4,e4) != e4| ( op(e4,e4) = e4& e4 != unit ) ) ) ) ) ),
% 0.14/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.55 fof(f8,negated_conjecture,(
% 0.14/5.55 ~(~ ( ( op(e0,e0) != e0| op(e0,e0) = e0 )& ( op(e0,e0) != e1| op(e0,e1) = e0 )& ( op(e0,e0) != e2| op(e0,e2) = e0 )& ( op(e0,e0) != e3| op(e0,e3) = e0 )& ( op(e0,e0) != e4| op(e0,e4) = e0 )& ( op(e1,e1) != e0| op(e1,e0) = e1 )& ( op(e1,e1) != e1| op(e1,e1) = e1 )& ( op(e1,e1) != e2| op(e1,e2) = e1 )& ( op(e1,e1) != e3| op(e1,e3) = e1 )& ( op(e1,e1) != e4| op(e1,e4) = e1 )& ( op(e2,e2) != e0| op(e2,e0) = e2 )& ( op(e2,e2) != e1| op(e2,e1) = e2 )& ( op(e2,e2) != e2| op(e2,e2) = e2 )& ( op(e2,e2) != e3| op(e2,e3) = e2 )& ( op(e2,e2) != e4| op(e2,e4) = e2 )& ( op(e3,e3) != e0| op(e3,e0) = e3 )& ( op(e3,e3) != e1| op(e3,e1) = e3 )& ( op(e3,e3) != e2| op(e3,e2) = e3 )& ( op(e3,e3) != e3| op(e3,e3) = e3 )& ( op(e3,e3) != e4| op(e3,e4) = e3 )& ( op(e4,e4) != e0| op(e4,e0) = e4 )& ( op(e4,e4) != e1| op(e4,e1) = e4 )& ( op(e4,e4) != e2| op(e4,e2) = e4 )& ( op(e4,e4) != e3| op(e4,e3) = e4 )& ( op(e4,e4) != e4| op(e4,e4) = e4 )& ( ( ( op(e0,e0) != e0| ( op(e0,e0) = e0& e0 != unit ) )& ( op(e0,e1) != e0| ( op(e0,e0) = e1& e0 != unit ) )& ( op(e0,e2) != e0| ( op(e0,e0) = e2& e0 != unit ) )& ( op(e0,e3) != e0| ( op(e0,e0) = e3& e0 != unit ) )& ( op(e0,e4) != e0| ( op(e0,e0) = e4& e0 != unit ) )& ( op(e1,e0) != e0| ( op(e1,e0) = e0& e0 != unit ) )& ( op(e1,e1) != e0| ( op(e1,e0) = e1& e0 != unit ) )& ( op(e1,e2) != e0| ( op(e1,e0) = e2& e0 != unit ) )& ( op(e1,e3) != e0| ( op(e1,e0) = e3& e0 != unit ) )& ( op(e1,e4) != e0| ( op(e1,e0) = e4& e0 != unit ) )& ( op(e2,e0) != e0| ( op(e2,e0) = e0& e0 != unit ) )& ( op(e2,e1) != e0| ( op(e2,e0) = e1& e0 != unit ) )& ( op(e2,e2) != e0| ( op(e2,e0) = e2& e0 != unit ) )& ( op(e2,e3) != e0| ( op(e2,e0) = e3& e0 != unit ) )& ( op(e2,e4) != e0| ( op(e2,e0) = e4& e0 != unit ) )& ( op(e3,e0) != e0| ( op(e3,e0) = e0& e0 != unit ) )& ( op(e3,e1) != e0| ( op(e3,e0) = e1& e0 != unit ) )& ( op(e3,e2) != e0| ( op(e3,e0) = e2& e0 != unit ) )& ( op(e3,e3) != e0| ( op(e3,e0) = e3& e0 != unit ) )& ( op(e3,e4) != e0| ( op(e3,e0) = e4& e0 != unit ) )& ( op(e4,e0) != e0| ( op(e4,e0) = e0& e0 != unit ) )& ( op(e4,e1) != e0| ( op(e4,e0) = e1& e0 != unit ) )& ( op(e4,e2) != e0| ( op(e4,e0) = e2& e0 != unit ) )& ( op(e4,e3) != e0| ( op(e4,e0) = e3& e0 != unit ) )& ( op(e4,e4) != e0| ( op(e4,e0) = e4& e0 != unit ) ) )| ( ( op(e0,e0) != e1| ( op(e0,e1) = e0& e1 != unit ) )& ( op(e0,e1) != e1| ( op(e0,e1) = e1& e1 != unit ) )& ( op(e0,e2) != e1| ( op(e0,e1) = e2& e1 != unit ) )& ( op(e0,e3) != e1| ( op(e0,e1) = e3& e1 != unit ) )& ( op(e0,e4) != e1| ( op(e0,e1) = e4& e1 != unit ) )& ( op(e1,e0) != e1| ( op(e1,e1) = e0& e1 != unit ) )& ( op(e1,e1) != e1| ( op(e1,e1) = e1& e1 != unit ) )& ( op(e1,e2) != e1| ( op(e1,e1) = e2& e1 != unit ) )& ( op(e1,e3) != e1| ( op(e1,e1) = e3& e1 != unit ) )& ( op(e1,e4) != e1| ( op(e1,e1) = e4& e1 != unit ) )& ( op(e2,e0) != e1| ( op(e2,e1) = e0& e1 != unit ) )& ( op(e2,e1) != e1| ( op(e2,e1) = e1& e1 != unit ) )& ( op(e2,e2) != e1| ( op(e2,e1) = e2& e1 != unit ) )& ( op(e2,e3) != e1| ( op(e2,e1) = e3& e1 != unit ) )& ( op(e2,e4) != e1| ( op(e2,e1) = e4& e1 != unit ) )& ( op(e3,e0) != e1| ( op(e3,e1) = e0& e1 != unit ) )& ( op(e3,e1) != e1| ( op(e3,e1) = e1& e1 != unit ) )& ( op(e3,e2) != e1| ( op(e3,e1) = e2& e1 != unit ) )& ( op(e3,e3) != e1| ( op(e3,e1) = e3& e1 != unit ) )& ( op(e3,e4) != e1| ( op(e3,e1) = e4& e1 != unit ) )& ( op(e4,e0) != e1| ( op(e4,e1) = e0& e1 != unit ) )& ( op(e4,e1) != e1| ( op(e4,e1) = e1& e1 != unit ) )& ( op(e4,e2) != e1| ( op(e4,e1) = e2& e1 != unit ) )& ( op(e4,e3) != e1| ( op(e4,e1) = e3& e1 != unit ) )& ( op(e4,e4) != e1| ( op(e4,e1) = e4& e1 != unit ) ) )| ( ( op(e0,e0) != e2| ( op(e0,e2) = e0& e2 != unit ) )& ( op(e0,e1) != e2| ( op(e0,e2) = e1& e2 != unit ) )& ( op(e0,e2) != e2| ( op(e0,e2) = e2& e2 != unit ) )& ( op(e0,e3) != e2| ( op(e0,e2) = e3& e2 != unit ) )& ( op(e0,e4) != e2| ( op(e0,e2) = e4& e2 != unit ) )& ( op(e1,e0) != e2| ( op(e1,e2) = e0& e2 != unit ) )& ( op(e1,e1) != e2| ( op(e1,e2) = e1& e2 != unit ) )& ( op(e1,e2) != e2| ( op(e1,e2) = e2& e2 != unit ) )& ( op(e1,e3) != e2| ( op(e1,e2) = e3& e2 != unit ) )& ( op(e1,e4) != e2| ( op(e1,e2) = e4& e2 != unit ) )& ( op(e2,e0) != e2| ( op(e2,e2) = e0& e2 != unit ) )& ( op(e2,e1) != e2| ( op(e2,e2) = e1& e2 != unit ) )& ( op(e2,e2) != e2| ( op(e2,e2) = e2& e2 != unit ) )& ( op(e2,e3) != e2| ( op(e2,e2) = e3& e2 != unit ) )& ( op(e2,e4) != e2| ( op(e2,e2) = e4& e2 != unit ) )& ( op(e3,e0) != e2| ( op(e3,e2) = e0& e2 != unit ) )& ( op(e3,e1) != e2| ( op(e3,e2) = e1& e2 != unit ) )& ( op(e3,e2) != e2| ( op(e3,e2) = e2& e2 != unit ) )& ( op(e3,e3) != e2| ( op(e3,e2) = e3& e2 != unit ) )& ( op(e3,e4) != e2| ( op(e3,e2) = e4& e2 != unit ) )& ( op(e4,e0) != e2| ( op(e4,e2) = e0& e2 != unit ) )& ( op(e4,e1) != e2| ( op(e4,e2) = e1& e2 != unit ) )& ( op(e4,e2) != e2| ( op(e4,e2) = e2& e2 != unit ) )& ( op(e4,e3) != e2| ( op(e4,e2) = e3& e2 != unit ) )& ( op(e4,e4) != e2| ( op(e4,e2) = e4& e2 != unit ) ) )| ( ( op(e0,e0) != e3| ( op(e0,e3) = e0& e3 != unit ) )& ( op(e0,e1) != e3| ( op(e0,e3) = e1& e3 != unit ) )& ( op(e0,e2) != e3| ( op(e0,e3) = e2& e3 != unit ) )& ( op(e0,e3) != e3| ( op(e0,e3) = e3& e3 != unit ) )& ( op(e0,e4) != e3| ( op(e0,e3) = e4& e3 != unit ) )& ( op(e1,e0) != e3| ( op(e1,e3) = e0& e3 != unit ) )& ( op(e1,e1) != e3| ( op(e1,e3) = e1& e3 != unit ) )& ( op(e1,e2) != e3| ( op(e1,e3) = e2& e3 != unit ) )& ( op(e1,e3) != e3| ( op(e1,e3) = e3& e3 != unit ) )& ( op(e1,e4) != e3| ( op(e1,e3) = e4& e3 != unit ) )& ( op(e2,e0) != e3| ( op(e2,e3) = e0& e3 != unit ) )& ( op(e2,e1) != e3| ( op(e2,e3) = e1& e3 != unit ) )& ( op(e2,e2) != e3| ( op(e2,e3) = e2& e3 != unit ) )& ( op(e2,e3) != e3| ( op(e2,e3) = e3& e3 != unit ) )& ( op(e2,e4) != e3| ( op(e2,e3) = e4& e3 != unit ) )& ( op(e3,e0) != e3| ( op(e3,e3) = e0& e3 != unit ) )& ( op(e3,e1) != e3| ( op(e3,e3) = e1& e3 != unit ) )& ( op(e3,e2) != e3| ( op(e3,e3) = e2& e3 != unit ) )& ( op(e3,e3) != e3| ( op(e3,e3) = e3& e3 != unit ) )& ( op(e3,e4) != e3| ( op(e3,e3) = e4& e3 != unit ) )& ( op(e4,e0) != e3| ( op(e4,e3) = e0& e3 != unit ) )& ( op(e4,e1) != e3| ( op(e4,e3) = e1& e3 != unit ) )& ( op(e4,e2) != e3| ( op(e4,e3) = e2& e3 != unit ) )& ( op(e4,e3) != e3| ( op(e4,e3) = e3& e3 != unit ) )& ( op(e4,e4) != e3| ( op(e4,e3) = e4& e3 != unit ) ) )| ( ( op(e0,e0) != e4| ( op(e0,e4) = e0& e4 != unit ) )& ( op(e0,e1) != e4| ( op(e0,e4) = e1& e4 != unit ) )& ( op(e0,e2) != e4| ( op(e0,e4) = e2& e4 != unit ) )& ( op(e0,e3) != e4| ( op(e0,e4) = e3& e4 != unit ) )& ( op(e0,e4) != e4| ( op(e0,e4) = e4& e4 != unit ) )& ( op(e1,e0) != e4| ( op(e1,e4) = e0& e4 != unit ) )& ( op(e1,e1) != e4| ( op(e1,e4) = e1& e4 != unit ) )& ( op(e1,e2) != e4| ( op(e1,e4) = e2& e4 != unit ) )& ( op(e1,e3) != e4| ( op(e1,e4) = e3& e4 != unit ) )& ( op(e1,e4) != e4| ( op(e1,e4) = e4& e4 != unit ) )& ( op(e2,e0) != e4| ( op(e2,e4) = e0& e4 != unit ) )& ( op(e2,e1) != e4| ( op(e2,e4) = e1& e4 != unit ) )& ( op(e2,e2) != e4| ( op(e2,e4) = e2& e4 != unit ) )& ( op(e2,e3) != e4| ( op(e2,e4) = e3& e4 != unit ) )& ( op(e2,e4) != e4| ( op(e2,e4) = e4& e4 != unit ) )& ( op(e3,e0) != e4| ( op(e3,e4) = e0& e4 != unit ) )& ( op(e3,e1) != e4| ( op(e3,e4) = e1& e4 != unit ) )& ( op(e3,e2) != e4| ( op(e3,e4) = e2& e4 != unit ) )& ( op(e3,e3) != e4| ( op(e3,e4) = e3& e4 != unit ) )& ( op(e3,e4) != e4| ( op(e3,e4) = e4& e4 != unit ) )& ( op(e4,e0) != e4| ( op(e4,e4) = e0& e4 != unit ) )& ( op(e4,e1) != e4| ( op(e4,e4) = e1& e4 != unit ) )& ( op(e4,e2) != e4| ( op(e4,e4) = e2& e4 != unit ) )& ( op(e4,e3) != e4| ( op(e4,e4) = e3& e4 != unit ) )& ( op(e4,e4) != e4| ( op(e4,e4) = e4& e4 != unit ) ) ) ) ) )),
% 0.14/5.55 inference(negated_conjecture,[status(cth)],[f7])).
% 0.14/5.55 fof(f17,plain,(
% 0.14/5.55 op(e1,e3)=e0|op(e1,e3)=e1|op(e1,e3)=e2|op(e1,e3)=e3|op(e1,e3)=e4),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.55 fof(f20,plain,(
% 0.14/5.55 op(e2,e1)=e0|op(e2,e1)=e1|op(e2,e1)=e2|op(e2,e1)=e3|op(e2,e1)=e4),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.55 fof(f21,plain,(
% 0.14/5.55 op(e2,e2)=e0|op(e2,e2)=e1|op(e2,e2)=e2|op(e2,e2)=e3|op(e2,e2)=e4),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.55 fof(f22,plain,(
% 0.14/5.55 op(e2,e3)=e0|op(e2,e3)=e1|op(e2,e3)=e2|op(e2,e3)=e3|op(e2,e3)=e4),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.55 fof(f32,plain,(
% 0.14/5.55 op(e4,e3)=e0|op(e4,e3)=e1|op(e4,e3)=e2|op(e4,e3)=e3|op(e4,e3)=e4),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.55 fof(f33,plain,(
% 0.14/5.55 op(e4,e4)=e0|op(e4,e4)=e1|op(e4,e4)=e2|op(e4,e4)=e3|op(e4,e4)=e4),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.55 fof(f36,plain,(
% 0.14/5.55 op(unit,e1)=e1),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.55 fof(f37,plain,(
% 0.14/5.55 op(e1,unit)=e1),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.55 fof(f38,plain,(
% 0.14/5.55 op(unit,e2)=e2),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.55 fof(f40,plain,(
% 0.14/5.55 op(unit,e3)=e3),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.55 fof(f42,plain,(
% 0.14/5.55 op(unit,e4)=e4),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.55 fof(f43,plain,(
% 0.14/5.55 op(e4,unit)=e4),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.55 fof(f44,plain,(
% 0.14/5.55 unit=e0|unit=e1|unit=e2|unit=e3|unit=e4),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.55 fof(f47,plain,(
% 0.14/5.55 op(e0,e0)=e1|op(e0,e1)=e1|op(e0,e2)=e1|op(e0,e3)=e1|op(e0,e4)=e1),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.55 fof(f61,plain,(
% 0.14/5.55 op(e1,e0)=e3|op(e1,e1)=e3|op(e1,e2)=e3|op(e1,e3)=e3|op(e1,e4)=e3),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.55 fof(f82,plain,(
% 0.14/5.55 op(e0,e3)=e3|op(e1,e3)=e3|op(e2,e3)=e3|op(e3,e3)=e3|op(e4,e3)=e3),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.55 fof(f105,plain,(
% 0.14/5.55 ~op(e0,e1)=op(e1,e1)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f106,plain,(
% 0.14/5.55 ~op(e0,e1)=op(e2,e1)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f109,plain,(
% 0.14/5.55 ~op(e1,e1)=op(e2,e1)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f116,plain,(
% 0.14/5.55 ~op(e0,e2)=op(e2,e2)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f118,plain,(
% 0.14/5.55 ~op(e0,e2)=op(e4,e2)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f123,plain,(
% 0.14/5.55 ~op(e2,e2)=op(e4,e2)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f125,plain,(
% 0.14/5.55 ~op(e0,e3)=op(e1,e3)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f127,plain,(
% 0.14/5.55 ~op(e0,e3)=op(e3,e3)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f128,plain,(
% 0.14/5.55 ~op(e0,e3)=op(e4,e3)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f131,plain,(
% 0.14/5.55 ~op(e1,e3)=op(e4,e3)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f138,plain,(
% 0.14/5.55 ~op(e0,e4)=op(e4,e4)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f139,plain,(
% 0.14/5.55 ~op(e1,e4)=op(e2,e4)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f143,plain,(
% 0.14/5.55 ~op(e2,e4)=op(e4,e4)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f150,plain,(
% 0.14/5.55 ~op(e0,e1)=op(e0,e3)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f151,plain,(
% 0.14/5.55 ~op(e0,e1)=op(e0,e4)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f157,plain,(
% 0.14/5.55 ~op(e1,e0)=op(e1,e3)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f160,plain,(
% 0.14/5.55 ~op(e1,e1)=op(e1,e3)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f165,plain,(
% 0.14/5.55 ~op(e2,e0)=op(e2,e1)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f167,plain,(
% 0.14/5.55 ~op(e2,e0)=op(e2,e3)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f170,plain,(
% 0.14/5.55 ~op(e2,e1)=op(e2,e3)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f171,plain,(
% 0.14/5.55 ~op(e2,e1)=op(e2,e4)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f172,plain,(
% 0.14/5.55 ~op(e2,e2)=op(e2,e3)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f173,plain,(
% 0.14/5.55 ~op(e2,e2)=op(e2,e4)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f174,plain,(
% 0.14/5.55 ~op(e2,e3)=op(e2,e4)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f187,plain,(
% 0.14/5.55 ~op(e4,e0)=op(e4,e3)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f192,plain,(
% 0.14/5.55 ~op(e4,e2)=op(e4,e3)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f193,plain,(
% 0.14/5.55 ~op(e4,e2)=op(e4,e4)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f194,plain,(
% 0.14/5.55 ~op(e4,e3)=op(e4,e4)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.55 fof(f195,plain,(
% 0.14/5.55 ~e0=e1),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.55 fof(f197,plain,(
% 0.14/5.55 ~e0=e3),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.55 fof(f199,plain,(
% 0.14/5.55 ~e1=e2),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.55 fof(f200,plain,(
% 0.14/5.55 ~e1=e3),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.55 fof(f201,plain,(
% 0.14/5.55 ~e1=e4),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.55 fof(f202,plain,(
% 0.14/5.55 ~e2=e3),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.55 fof(f205,plain,(
% 0.14/5.55 e0=op(op(e4,e2),op(e4,e2))),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/5.55 fof(f206,plain,(
% 0.14/5.55 e1=op(e4,e2)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/5.55 fof(f207,plain,(
% 0.14/5.55 e3=op(e2,e4)),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/5.55 fof(f208,definition,(
% 0.14/5.55 sP0_prd<=>((((((((((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit)))&(~op(e4,e3)=e0|(op(e4,e0)=e3&~e0=unit)))&(~op(e4,e4)=e0|(op(e4,e0)=e4&~e0=unit)))|(((((((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit)))&(~op(e4,e3)=e1|(op(e4,e1)=e3&~e1=unit)))&(~op(e4,e4)=e1|(op(e4,e1)=e4&~e1=unit))))|(((((((((((((((((((((((((~op(e0,e0)=e2|(op(e0,e2)=e0&~e2=unit))&(~op(e0,e1)=e2|(op(e0,e2)=e1&~e2=unit)))&(~op(e0,e2)=e2|(op(e0,e2)=e2&~e2=unit)))&(~op(e0,e3)=e2|(op(e0,e2)=e3&~e2=unit)))&(~op(e0,e4)=e2|(op(e0,e2)=e4&~e2=unit)))&(~op(e1,e0)=e2|(op(e1,e2)=e0&~e2=unit)))&(~op(e1,e1)=e2|(op(e1,e2)=e1&~e2=unit)))&(~op(e1,e2)=e2|(op(e1,e2)=e2&~e2=unit)))&(~op(e1,e3)=e2|(op(e1,e2)=e3&~e2=unit)))&(~op(e1,e4)=e2|(op(e1,e2)=e4&~e2=unit)))&(~op(e2,e0)=e2|(op(e2,e2)=e0&~e2=unit)))&(~op(e2,e1)=e2|(op(e2,e2)=e1&~e2=unit)))&(~op(e2,e2)=e2|(op(e2,e2)=e2&~e2=unit)))&(~op(e2,e3)=e2|(op(e2,e2)=e3&~e2=unit)))&(~op(e2,e4)=e2|(op(e2,e2)=e4&~e2=unit)))&(~op(e3,e0)=e2|(op(e3,e2)=e0&~e2=unit)))&(~op(e3,e1)=e2|(op(e3,e2)=e1&~e2=unit)))&(~op(e3,e2)=e2|(op(e3,e2)=e2&~e2=unit)))&(~op(e3,e3)=e2|(op(e3,e2)=e3&~e2=unit)))&(~op(e3,e4)=e2|(op(e3,e2)=e4&~e2=unit)))&(~op(e4,e0)=e2|(op(e4,e2)=e0&~e2=unit)))&(~op(e4,e1)=e2|(op(e4,e2)=e1&~e2=unit)))&(~op(e4,e2)=e2|(op(e4,e2)=e2&~e2=unit)))&(~op(e4,e3)=e2|(op(e4,e2)=e3&~e2=unit)))&(~op(e4,e4)=e2|(op(e4,e2)=e4&~e2=unit))))|(((((((((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit)))&(~op(e4,e1)=e3|(op(e4,e3)=e1&~e3=unit)))&(~op(e4,e2)=e3|(op(e4,e3)=e2&~e3=unit)))&(~op(e4,e3)=e3|(op(e4,e3)=e3&~e3=unit)))&(~op(e4,e4)=e3|(op(e4,e3)=e4&~e3=unit))))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.14/5.55 fof(f209,plain,(
% 0.14/5.55 (((((((((((((((((((((((((~op(e0,e0)=e0|op(e0,e0)=e0)&(~op(e0,e0)=e1|op(e0,e1)=e0))&(~op(e0,e0)=e2|op(e0,e2)=e0))&(~op(e0,e0)=e3|op(e0,e3)=e0))&(~op(e0,e0)=e4|op(e0,e4)=e0))&(~op(e1,e1)=e0|op(e1,e0)=e1))&(~op(e1,e1)=e1|op(e1,e1)=e1))&(~op(e1,e1)=e2|op(e1,e2)=e1))&(~op(e1,e1)=e3|op(e1,e3)=e1))&(~op(e1,e1)=e4|op(e1,e4)=e1))&(~op(e2,e2)=e0|op(e2,e0)=e2))&(~op(e2,e2)=e1|op(e2,e1)=e2))&(~op(e2,e2)=e2|op(e2,e2)=e2))&(~op(e2,e2)=e3|op(e2,e3)=e2))&(~op(e2,e2)=e4|op(e2,e4)=e2))&(~op(e3,e3)=e0|op(e3,e0)=e3))&(~op(e3,e3)=e1|op(e3,e1)=e3))&(~op(e3,e3)=e2|op(e3,e2)=e3))&(~op(e3,e3)=e3|op(e3,e3)=e3))&(~op(e3,e3)=e4|op(e3,e4)=e3))&(~op(e4,e4)=e0|op(e4,e0)=e4))&(~op(e4,e4)=e1|op(e4,e1)=e4))&(~op(e4,e4)=e2|op(e4,e2)=e4))&(~op(e4,e4)=e3|op(e4,e3)=e4))&(~op(e4,e4)=e4|op(e4,e4)=e4))&(sP0_prd|(((((((((((((((((((((((((~op(e0,e0)=e4|(op(e0,e4)=e0&~e4=unit))&(~op(e0,e1)=e4|(op(e0,e4)=e1&~e4=unit)))&(~op(e0,e2)=e4|(op(e0,e4)=e2&~e4=unit)))&(~op(e0,e3)=e4|(op(e0,e4)=e3&~e4=unit)))&(~op(e0,e4)=e4|(op(e0,e4)=e4&~e4=unit)))&(~op(e1,e0)=e4|(op(e1,e4)=e0&~e4=unit)))&(~op(e1,e1)=e4|(op(e1,e4)=e1&~e4=unit)))&(~op(e1,e2)=e4|(op(e1,e4)=e2&~e4=unit)))&(~op(e1,e3)=e4|(op(e1,e4)=e3&~e4=unit)))&(~op(e1,e4)=e4|(op(e1,e4)=e4&~e4=unit)))&(~op(e2,e0)=e4|(op(e2,e4)=e0&~e4=unit)))&(~op(e2,e1)=e4|(op(e2,e4)=e1&~e4=unit)))&(~op(e2,e2)=e4|(op(e2,e4)=e2&~e4=unit)))&(~op(e2,e3)=e4|(op(e2,e4)=e3&~e4=unit)))&(~op(e2,e4)=e4|(op(e2,e4)=e4&~e4=unit)))&(~op(e3,e0)=e4|(op(e3,e4)=e0&~e4=unit)))&(~op(e3,e1)=e4|(op(e3,e4)=e1&~e4=unit)))&(~op(e3,e2)=e4|(op(e3,e4)=e2&~e4=unit)))&(~op(e3,e3)=e4|(op(e3,e4)=e3&~e4=unit)))&(~op(e3,e4)=e4|(op(e3,e4)=e4&~e4=unit)))&(~op(e4,e0)=e4|(op(e4,e4)=e0&~e4=unit)))&(~op(e4,e1)=e4|(op(e4,e4)=e1&~e4=unit)))&(~op(e4,e2)=e4|(op(e4,e4)=e2&~e4=unit)))&(~op(e4,e3)=e4|(op(e4,e4)=e3&~e4=unit)))&(~op(e4,e4)=e4|(op(e4,e4)=e4&~e4=unit))))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f8,f208])).
% 0.14/5.55 fof(f215,plain,(
% 0.14/5.55 ~op(e1,e1)=e0|op(e1,e0)=e1),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f209])).
% 0.14/5.55 fof(f220,plain,(
% 0.14/5.55 ~op(e2,e2)=e0|op(e2,e0)=e2),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f209])).
% 0.14/5.55 fof(f224,plain,(
% 0.14/5.55 ~op(e2,e2)=e4|op(e2,e4)=e2),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f209])).
% 0.14/5.55 fof(f232,plain,(
% 0.14/5.55 ~op(e4,e4)=e2|op(e4,e2)=e4),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f209])).
% 0.14/5.55 fof(f251,plain,(
% 0.14/5.55 sP0_prd|~op(e1,e3)=e4|op(e1,e4)=e3),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f209])).
% 0.14/5.55 fof(f285,definition,(
% 0.14/5.55 sP1_prd<=>(((((((((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit)))&(~op(e4,e3)=e0|(op(e4,e0)=e3&~e0=unit)))&(~op(e4,e4)=e0|(op(e4,e0)=e4&~e0=unit)))|(((((((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit)))&(~op(e4,e3)=e1|(op(e4,e1)=e3&~e1=unit)))&(~op(e4,e4)=e1|(op(e4,e1)=e4&~e1=unit))))|(((((((((((((((((((((((((~op(e0,e0)=e2|(op(e0,e2)=e0&~e2=unit))&(~op(e0,e1)=e2|(op(e0,e2)=e1&~e2=unit)))&(~op(e0,e2)=e2|(op(e0,e2)=e2&~e2=unit)))&(~op(e0,e3)=e2|(op(e0,e2)=e3&~e2=unit)))&(~op(e0,e4)=e2|(op(e0,e2)=e4&~e2=unit)))&(~op(e1,e0)=e2|(op(e1,e2)=e0&~e2=unit)))&(~op(e1,e1)=e2|(op(e1,e2)=e1&~e2=unit)))&(~op(e1,e2)=e2|(op(e1,e2)=e2&~e2=unit)))&(~op(e1,e3)=e2|(op(e1,e2)=e3&~e2=unit)))&(~op(e1,e4)=e2|(op(e1,e2)=e4&~e2=unit)))&(~op(e2,e0)=e2|(op(e2,e2)=e0&~e2=unit)))&(~op(e2,e1)=e2|(op(e2,e2)=e1&~e2=unit)))&(~op(e2,e2)=e2|(op(e2,e2)=e2&~e2=unit)))&(~op(e2,e3)=e2|(op(e2,e2)=e3&~e2=unit)))&(~op(e2,e4)=e2|(op(e2,e2)=e4&~e2=unit)))&(~op(e3,e0)=e2|(op(e3,e2)=e0&~e2=unit)))&(~op(e3,e1)=e2|(op(e3,e2)=e1&~e2=unit)))&(~op(e3,e2)=e2|(op(e3,e2)=e2&~e2=unit)))&(~op(e3,e3)=e2|(op(e3,e2)=e3&~e2=unit)))&(~op(e3,e4)=e2|(op(e3,e2)=e4&~e2=unit)))&(~op(e4,e0)=e2|(op(e4,e2)=e0&~e2=unit)))&(~op(e4,e1)=e2|(op(e4,e2)=e1&~e2=unit)))&(~op(e4,e2)=e2|(op(e4,e2)=e2&~e2=unit)))&(~op(e4,e3)=e2|(op(e4,e2)=e3&~e2=unit)))&(~op(e4,e4)=e2|(op(e4,e2)=e4&~e2=unit))))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.14/5.55 fof(f286,plain,(
% 0.14/5.55 sP0_prd<=>(sP1_prd|(((((((((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit)))&(~op(e4,e1)=e3|(op(e4,e3)=e1&~e3=unit)))&(~op(e4,e2)=e3|(op(e4,e3)=e2&~e3=unit)))&(~op(e4,e3)=e3|(op(e4,e3)=e3&~e3=unit)))&(~op(e4,e4)=e3|(op(e4,e3)=e4&~e3=unit))))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f208,f285])).
% 0.14/5.55 fof(f287,definition,(
% 0.14/5.55 sP2_prd<=>((((((((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit)))&(~op(e4,e1)=e3|(op(e4,e3)=e1&~e3=unit)))&(~op(e4,e2)=e3|(op(e4,e3)=e2&~e3=unit)))&(~op(e4,e3)=e3|(op(e4,e3)=e3&~e3=unit)))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.14/5.55 fof(f288,plain,(
% 0.14/5.55 sP0_prd<=>(sP1_prd|(sP2_prd&(~op(e4,e4)=e3|(op(e4,e3)=e4&~e3=unit))))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f286,f287])).
% 0.14/5.55 fof(f289,plain,(
% 0.14/5.55 (~sP0_prd|(sP1_prd|(sP2_prd&(~op(e4,e4)=e3|(op(e4,e3)=e4&~e3=unit)))))&(sP0_prd|(~sP1_prd&(~sP2_prd|(op(e4,e4)=e3&(~op(e4,e3)=e4|e3=unit)))))),
% 0.14/5.55 inference(NNF_transformation,[status(thm)],[f288])).
% 0.14/5.55 fof(f290,plain,(
% 0.14/5.55 ~sP0_prd|sP1_prd|sP2_prd),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f289])).
% 0.14/5.55 fof(f296,definition,(
% 0.14/5.55 sP3_prd<=>((((((((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit)))&(~op(e4,e3)=e0|(op(e4,e0)=e3&~e0=unit)))&(~op(e4,e4)=e0|(op(e4,e0)=e4&~e0=unit)))|(((((((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit)))&(~op(e4,e3)=e1|(op(e4,e1)=e3&~e1=unit)))&(~op(e4,e4)=e1|(op(e4,e1)=e4&~e1=unit))))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.14/5.55 fof(f297,plain,(
% 0.14/5.55 sP1_prd<=>(sP3_prd|(((((((((((((((((((((((((~op(e0,e0)=e2|(op(e0,e2)=e0&~e2=unit))&(~op(e0,e1)=e2|(op(e0,e2)=e1&~e2=unit)))&(~op(e0,e2)=e2|(op(e0,e2)=e2&~e2=unit)))&(~op(e0,e3)=e2|(op(e0,e2)=e3&~e2=unit)))&(~op(e0,e4)=e2|(op(e0,e2)=e4&~e2=unit)))&(~op(e1,e0)=e2|(op(e1,e2)=e0&~e2=unit)))&(~op(e1,e1)=e2|(op(e1,e2)=e1&~e2=unit)))&(~op(e1,e2)=e2|(op(e1,e2)=e2&~e2=unit)))&(~op(e1,e3)=e2|(op(e1,e2)=e3&~e2=unit)))&(~op(e1,e4)=e2|(op(e1,e2)=e4&~e2=unit)))&(~op(e2,e0)=e2|(op(e2,e2)=e0&~e2=unit)))&(~op(e2,e1)=e2|(op(e2,e2)=e1&~e2=unit)))&(~op(e2,e2)=e2|(op(e2,e2)=e2&~e2=unit)))&(~op(e2,e3)=e2|(op(e2,e2)=e3&~e2=unit)))&(~op(e2,e4)=e2|(op(e2,e2)=e4&~e2=unit)))&(~op(e3,e0)=e2|(op(e3,e2)=e0&~e2=unit)))&(~op(e3,e1)=e2|(op(e3,e2)=e1&~e2=unit)))&(~op(e3,e2)=e2|(op(e3,e2)=e2&~e2=unit)))&(~op(e3,e3)=e2|(op(e3,e2)=e3&~e2=unit)))&(~op(e3,e4)=e2|(op(e3,e2)=e4&~e2=unit)))&(~op(e4,e0)=e2|(op(e4,e2)=e0&~e2=unit)))&(~op(e4,e1)=e2|(op(e4,e2)=e1&~e2=unit)))&(~op(e4,e2)=e2|(op(e4,e2)=e2&~e2=unit)))&(~op(e4,e3)=e2|(op(e4,e2)=e3&~e2=unit)))&(~op(e4,e4)=e2|(op(e4,e2)=e4&~e2=unit))))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f285,f296])).
% 0.14/5.55 fof(f298,definition,(
% 0.14/5.55 sP4_prd<=>((((((((((((((((((((((((~op(e0,e0)=e2|(op(e0,e2)=e0&~e2=unit))&(~op(e0,e1)=e2|(op(e0,e2)=e1&~e2=unit)))&(~op(e0,e2)=e2|(op(e0,e2)=e2&~e2=unit)))&(~op(e0,e3)=e2|(op(e0,e2)=e3&~e2=unit)))&(~op(e0,e4)=e2|(op(e0,e2)=e4&~e2=unit)))&(~op(e1,e0)=e2|(op(e1,e2)=e0&~e2=unit)))&(~op(e1,e1)=e2|(op(e1,e2)=e1&~e2=unit)))&(~op(e1,e2)=e2|(op(e1,e2)=e2&~e2=unit)))&(~op(e1,e3)=e2|(op(e1,e2)=e3&~e2=unit)))&(~op(e1,e4)=e2|(op(e1,e2)=e4&~e2=unit)))&(~op(e2,e0)=e2|(op(e2,e2)=e0&~e2=unit)))&(~op(e2,e1)=e2|(op(e2,e2)=e1&~e2=unit)))&(~op(e2,e2)=e2|(op(e2,e2)=e2&~e2=unit)))&(~op(e2,e3)=e2|(op(e2,e2)=e3&~e2=unit)))&(~op(e2,e4)=e2|(op(e2,e2)=e4&~e2=unit)))&(~op(e3,e0)=e2|(op(e3,e2)=e0&~e2=unit)))&(~op(e3,e1)=e2|(op(e3,e2)=e1&~e2=unit)))&(~op(e3,e2)=e2|(op(e3,e2)=e2&~e2=unit)))&(~op(e3,e3)=e2|(op(e3,e2)=e3&~e2=unit)))&(~op(e3,e4)=e2|(op(e3,e2)=e4&~e2=unit)))&(~op(e4,e0)=e2|(op(e4,e2)=e0&~e2=unit)))&(~op(e4,e1)=e2|(op(e4,e2)=e1&~e2=unit)))&(~op(e4,e2)=e2|(op(e4,e2)=e2&~e2=unit)))&(~op(e4,e3)=e2|(op(e4,e2)=e3&~e2=unit)))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 0.14/5.55 fof(f299,plain,(
% 0.14/5.55 sP1_prd<=>(sP3_prd|(sP4_prd&(~op(e4,e4)=e2|(op(e4,e2)=e4&~e2=unit))))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f297,f298])).
% 0.14/5.55 fof(f300,plain,(
% 0.14/5.55 (~sP1_prd|(sP3_prd|(sP4_prd&(~op(e4,e4)=e2|(op(e4,e2)=e4&~e2=unit)))))&(sP1_prd|(~sP3_prd&(~sP4_prd|(op(e4,e4)=e2&(~op(e4,e2)=e4|e2=unit)))))),
% 0.14/5.55 inference(NNF_transformation,[status(thm)],[f299])).
% 0.14/5.55 fof(f301,plain,(
% 0.14/5.55 ~sP1_prd|sP3_prd|sP4_prd),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f300])).
% 0.14/5.55 fof(f307,definition,(
% 0.14/5.55 sP5_prd<=>(((((((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit)))&(~op(e4,e1)=e3|(op(e4,e3)=e1&~e3=unit)))&(~op(e4,e2)=e3|(op(e4,e3)=e2&~e3=unit)))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 0.14/5.55 fof(f308,plain,(
% 0.14/5.55 sP2_prd<=>(sP5_prd&(~op(e4,e3)=e3|(op(e4,e3)=e3&~e3=unit)))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f287,f307])).
% 0.14/5.55 fof(f309,plain,(
% 0.14/5.55 (~sP2_prd|(sP5_prd&(~op(e4,e3)=e3|(op(e4,e3)=e3&~e3=unit))))&(sP2_prd|(~sP5_prd|(op(e4,e3)=e3&(~op(e4,e3)=e3|e3=unit))))),
% 0.14/5.55 inference(NNF_transformation,[status(thm)],[f308])).
% 0.14/5.55 fof(f310,plain,(
% 0.14/5.55 ~sP2_prd|sP5_prd),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f309])).
% 0.14/5.55 fof(f315,definition,(
% 0.14/5.55 sP6_prd<=>(((((((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit)))&(~op(e4,e3)=e0|(op(e4,e0)=e3&~e0=unit)))&(~op(e4,e4)=e0|(op(e4,e0)=e4&~e0=unit)))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP6_prd])],[])).
% 0.14/5.55 fof(f316,plain,(
% 0.14/5.55 sP3_prd<=>(sP6_prd|(((((((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit)))&(~op(e4,e3)=e1|(op(e4,e1)=e3&~e1=unit)))&(~op(e4,e4)=e1|(op(e4,e1)=e4&~e1=unit))))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f296,f315])).
% 0.14/5.55 fof(f317,definition,(
% 0.14/5.55 sP7_prd<=>((((((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit)))&(~op(e4,e3)=e1|(op(e4,e1)=e3&~e1=unit)))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 0.14/5.55 fof(f318,plain,(
% 0.14/5.55 sP3_prd<=>(sP6_prd|(sP7_prd&(~op(e4,e4)=e1|(op(e4,e1)=e4&~e1=unit))))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f316,f317])).
% 0.14/5.55 fof(f319,plain,(
% 0.14/5.55 (~sP3_prd|(sP6_prd|(sP7_prd&(~op(e4,e4)=e1|(op(e4,e1)=e4&~e1=unit)))))&(sP3_prd|(~sP6_prd&(~sP7_prd|(op(e4,e4)=e1&(~op(e4,e1)=e4|e1=unit)))))),
% 0.14/5.55 inference(NNF_transformation,[status(thm)],[f318])).
% 0.14/5.55 fof(f320,plain,(
% 0.14/5.55 ~sP3_prd|sP6_prd|sP7_prd),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f319])).
% 0.14/5.55 fof(f326,definition,(
% 0.14/5.55 sP8_prd<=>(((((((((((((((((((((((~op(e0,e0)=e2|(op(e0,e2)=e0&~e2=unit))&(~op(e0,e1)=e2|(op(e0,e2)=e1&~e2=unit)))&(~op(e0,e2)=e2|(op(e0,e2)=e2&~e2=unit)))&(~op(e0,e3)=e2|(op(e0,e2)=e3&~e2=unit)))&(~op(e0,e4)=e2|(op(e0,e2)=e4&~e2=unit)))&(~op(e1,e0)=e2|(op(e1,e2)=e0&~e2=unit)))&(~op(e1,e1)=e2|(op(e1,e2)=e1&~e2=unit)))&(~op(e1,e2)=e2|(op(e1,e2)=e2&~e2=unit)))&(~op(e1,e3)=e2|(op(e1,e2)=e3&~e2=unit)))&(~op(e1,e4)=e2|(op(e1,e2)=e4&~e2=unit)))&(~op(e2,e0)=e2|(op(e2,e2)=e0&~e2=unit)))&(~op(e2,e1)=e2|(op(e2,e2)=e1&~e2=unit)))&(~op(e2,e2)=e2|(op(e2,e2)=e2&~e2=unit)))&(~op(e2,e3)=e2|(op(e2,e2)=e3&~e2=unit)))&(~op(e2,e4)=e2|(op(e2,e2)=e4&~e2=unit)))&(~op(e3,e0)=e2|(op(e3,e2)=e0&~e2=unit)))&(~op(e3,e1)=e2|(op(e3,e2)=e1&~e2=unit)))&(~op(e3,e2)=e2|(op(e3,e2)=e2&~e2=unit)))&(~op(e3,e3)=e2|(op(e3,e2)=e3&~e2=unit)))&(~op(e3,e4)=e2|(op(e3,e2)=e4&~e2=unit)))&(~op(e4,e0)=e2|(op(e4,e2)=e0&~e2=unit)))&(~op(e4,e1)=e2|(op(e4,e2)=e1&~e2=unit)))&(~op(e4,e2)=e2|(op(e4,e2)=e2&~e2=unit)))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP8_prd])],[])).
% 0.14/5.55 fof(f327,plain,(
% 0.14/5.55 sP4_prd<=>(sP8_prd&(~op(e4,e3)=e2|(op(e4,e2)=e3&~e2=unit)))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f298,f326])).
% 0.14/5.55 fof(f328,plain,(
% 0.14/5.55 (~sP4_prd|(sP8_prd&(~op(e4,e3)=e2|(op(e4,e2)=e3&~e2=unit))))&(sP4_prd|(~sP8_prd|(op(e4,e3)=e2&(~op(e4,e2)=e3|e2=unit))))),
% 0.14/5.55 inference(NNF_transformation,[status(thm)],[f327])).
% 0.14/5.55 fof(f330,plain,(
% 0.14/5.55 ~sP4_prd|~op(e4,e3)=e2|op(e4,e2)=e3),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f328])).
% 0.14/5.55 fof(f334,definition,(
% 0.14/5.55 sP9_prd<=>((((((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit)))&(~op(e4,e1)=e3|(op(e4,e3)=e1&~e3=unit)))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 0.14/5.55 fof(f335,plain,(
% 0.14/5.55 sP5_prd<=>(sP9_prd&(~op(e4,e2)=e3|(op(e4,e3)=e2&~e3=unit)))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f307,f334])).
% 0.14/5.55 fof(f336,plain,(
% 0.14/5.55 (~sP5_prd|(sP9_prd&(~op(e4,e2)=e3|(op(e4,e3)=e2&~e3=unit))))&(sP5_prd|(~sP9_prd|(op(e4,e2)=e3&(~op(e4,e3)=e2|e3=unit))))),
% 0.14/5.55 inference(NNF_transformation,[status(thm)],[f335])).
% 0.14/5.55 fof(f337,plain,(
% 0.14/5.55 ~sP5_prd|sP9_prd),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f336])).
% 0.14/5.55 fof(f342,definition,(
% 0.14/5.55 sP10_prd<=>((((((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit)))&(~op(e4,e3)=e0|(op(e4,e0)=e3&~e0=unit)))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP10_prd])],[])).
% 0.14/5.55 fof(f343,plain,(
% 0.14/5.55 sP6_prd<=>(sP10_prd&(~op(e4,e4)=e0|(op(e4,e0)=e4&~e0=unit)))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f315,f342])).
% 0.14/5.55 fof(f344,plain,(
% 0.14/5.55 (~sP6_prd|(sP10_prd&(~op(e4,e4)=e0|(op(e4,e0)=e4&~e0=unit))))&(sP6_prd|(~sP10_prd|(op(e4,e4)=e0&(~op(e4,e0)=e4|e0=unit))))),
% 0.14/5.55 inference(NNF_transformation,[status(thm)],[f343])).
% 0.14/5.55 fof(f345,plain,(
% 0.14/5.55 ~sP6_prd|sP10_prd),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f344])).
% 0.14/5.55 fof(f350,definition,(
% 0.14/5.55 sP11_prd<=>(((((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit)))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP11_prd])],[])).
% 0.14/5.55 fof(f351,plain,(
% 0.14/5.55 sP7_prd<=>(sP11_prd&(~op(e4,e3)=e1|(op(e4,e1)=e3&~e1=unit)))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f317,f350])).
% 0.14/5.55 fof(f352,plain,(
% 0.14/5.55 (~sP7_prd|(sP11_prd&(~op(e4,e3)=e1|(op(e4,e1)=e3&~e1=unit))))&(sP7_prd|(~sP11_prd|(op(e4,e3)=e1&(~op(e4,e1)=e3|e1=unit))))),
% 0.14/5.55 inference(NNF_transformation,[status(thm)],[f351])).
% 0.14/5.55 fof(f353,plain,(
% 0.14/5.55 ~sP7_prd|sP11_prd),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f352])).
% 0.14/5.55 fof(f366,definition,(
% 0.14/5.55 sP13_prd<=>(((((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit)))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP13_prd])],[])).
% 0.14/5.55 fof(f367,plain,(
% 0.14/5.55 sP9_prd<=>(sP13_prd&(~op(e4,e1)=e3|(op(e4,e3)=e1&~e3=unit)))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f334,f366])).
% 0.14/5.55 fof(f368,plain,(
% 0.14/5.55 (~sP9_prd|(sP13_prd&(~op(e4,e1)=e3|(op(e4,e3)=e1&~e3=unit))))&(sP9_prd|(~sP13_prd|(op(e4,e1)=e3&(~op(e4,e3)=e1|e3=unit))))),
% 0.14/5.55 inference(NNF_transformation,[status(thm)],[f367])).
% 0.14/5.55 fof(f369,plain,(
% 0.14/5.55 ~sP9_prd|sP13_prd),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f368])).
% 0.14/5.55 fof(f374,definition,(
% 0.14/5.55 sP14_prd<=>(((((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit)))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP14_prd])],[])).
% 0.14/5.55 fof(f375,plain,(
% 0.14/5.55 sP10_prd<=>(sP14_prd&(~op(e4,e3)=e0|(op(e4,e0)=e3&~e0=unit)))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f342,f374])).
% 0.14/5.55 fof(f376,plain,(
% 0.14/5.55 (~sP10_prd|(sP14_prd&(~op(e4,e3)=e0|(op(e4,e0)=e3&~e0=unit))))&(sP10_prd|(~sP14_prd|(op(e4,e3)=e0&(~op(e4,e0)=e3|e0=unit))))),
% 0.14/5.55 inference(NNF_transformation,[status(thm)],[f375])).
% 0.14/5.55 fof(f377,plain,(
% 0.14/5.55 ~sP10_prd|sP14_prd),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f376])).
% 0.14/5.55 fof(f382,definition,(
% 0.14/5.55 sP15_prd<=>((((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP15_prd])],[])).
% 0.14/5.55 fof(f383,plain,(
% 0.14/5.55 sP11_prd<=>(sP15_prd&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit)))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f350,f382])).
% 0.14/5.55 fof(f384,plain,(
% 0.14/5.55 (~sP11_prd|(sP15_prd&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit))))&(sP11_prd|(~sP15_prd|(op(e4,e2)=e1&(~op(e4,e1)=e2|e1=unit))))),
% 0.14/5.55 inference(NNF_transformation,[status(thm)],[f383])).
% 0.14/5.55 fof(f385,plain,(
% 0.14/5.55 ~sP11_prd|sP15_prd),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f384])).
% 0.14/5.55 fof(f398,definition,(
% 0.14/5.55 sP17_prd<=>((((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))),
% 0.14/5.55 introduced(definition,[new_symbols(definition,[sP17_prd])],[])).
% 0.14/5.55 fof(f399,plain,(
% 0.14/5.55 sP13_prd<=>(sP17_prd&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit)))),
% 0.14/5.55 inference(formula_renaming,[status(thm)],[f366,f398])).
% 0.14/5.55 fof(f400,plain,(
% 0.14/5.55 (~sP13_prd|(sP17_prd&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit))))&(sP13_prd|(~sP17_prd|(op(e4,e0)=e3&(~op(e4,e3)=e0|e3=unit))))),
% 0.14/5.55 inference(NNF_transformation,[status(thm)],[f399])).
% 0.14/5.55 fof(f401,plain,(
% 0.14/5.55 ~sP13_prd|sP17_prd),
% 0.14/5.55 inference(cnf_transformation,[status(thm)],[f400])).
% 0.14/5.55 fof(f406,definition,(
% 0.14/5.55 sP18_prd<=>((((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP18_prd])],[])).
% 0.14/5.56 fof(f407,plain,(
% 0.14/5.56 sP14_prd<=>(sP18_prd&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f374,f406])).
% 0.14/5.56 fof(f408,plain,(
% 0.14/5.56 (~sP14_prd|(sP18_prd&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit))))&(sP14_prd|(~sP18_prd|(op(e4,e2)=e0&(~op(e4,e0)=e2|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f407])).
% 0.14/5.56 fof(f409,plain,(
% 0.14/5.56 ~sP14_prd|sP18_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f408])).
% 0.14/5.56 fof(f414,definition,(
% 0.14/5.56 sP19_prd<=>(((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP19_prd])],[])).
% 0.14/5.56 fof(f415,plain,(
% 0.14/5.56 sP15_prd<=>(sP19_prd&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f382,f414])).
% 0.14/5.56 fof(f416,plain,(
% 0.14/5.56 (~sP15_prd|(sP19_prd&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit))))&(sP15_prd|(~sP19_prd|(op(e4,e1)=e1&(~op(e4,e1)=e1|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f415])).
% 0.14/5.56 fof(f417,plain,(
% 0.14/5.56 ~sP15_prd|sP19_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/5.56 fof(f430,definition,(
% 0.14/5.56 sP21_prd<=>(((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP21_prd])],[])).
% 0.14/5.56 fof(f431,plain,(
% 0.14/5.56 sP17_prd<=>(sP21_prd&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f398,f430])).
% 0.14/5.56 fof(f432,plain,(
% 0.14/5.56 (~sP17_prd|(sP21_prd&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit))))&(sP17_prd|(~sP21_prd|(op(e3,e4)=e3&(~op(e3,e3)=e4|e3=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f431])).
% 0.14/5.56 fof(f433,plain,(
% 0.14/5.56 ~sP17_prd|sP21_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f432])).
% 0.14/5.56 fof(f438,definition,(
% 0.14/5.56 sP22_prd<=>(((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP22_prd])],[])).
% 0.14/5.56 fof(f439,plain,(
% 0.14/5.56 sP18_prd<=>(sP22_prd&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f406,f438])).
% 0.14/5.56 fof(f440,plain,(
% 0.14/5.56 (~sP18_prd|(sP22_prd&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit))))&(sP18_prd|(~sP22_prd|(op(e4,e1)=e0&(~op(e4,e0)=e1|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f439])).
% 0.14/5.56 fof(f441,plain,(
% 0.14/5.56 ~sP18_prd|sP22_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f440])).
% 0.14/5.56 fof(f446,definition,(
% 0.14/5.56 sP23_prd<=>((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP23_prd])],[])).
% 0.14/5.56 fof(f447,plain,(
% 0.14/5.56 sP19_prd<=>(sP23_prd&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f414,f446])).
% 0.14/5.56 fof(f448,plain,(
% 0.14/5.56 (~sP19_prd|(sP23_prd&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit))))&(sP19_prd|(~sP23_prd|(op(e4,e0)=e1&(~op(e4,e1)=e0|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f447])).
% 0.14/5.56 fof(f449,plain,(
% 0.14/5.56 ~sP19_prd|sP23_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f448])).
% 0.14/5.56 fof(f462,definition,(
% 0.14/5.56 sP25_prd<=>((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP25_prd])],[])).
% 0.14/5.56 fof(f463,plain,(
% 0.14/5.56 sP21_prd<=>(sP25_prd&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f430,f462])).
% 0.14/5.56 fof(f464,plain,(
% 0.14/5.56 (~sP21_prd|(sP25_prd&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit))))&(sP21_prd|(~sP25_prd|(op(e3,e3)=e3&(~op(e3,e3)=e3|e3=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f463])).
% 0.14/5.56 fof(f465,plain,(
% 0.14/5.56 ~sP21_prd|sP25_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f464])).
% 0.14/5.56 fof(f470,definition,(
% 0.14/5.56 sP26_prd<=>((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP26_prd])],[])).
% 0.14/5.56 fof(f471,plain,(
% 0.14/5.56 sP22_prd<=>(sP26_prd&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f438,f470])).
% 0.14/5.56 fof(f472,plain,(
% 0.14/5.56 (~sP22_prd|(sP26_prd&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit))))&(sP22_prd|(~sP26_prd|(op(e4,e0)=e0&(~op(e4,e0)=e0|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f471])).
% 0.14/5.56 fof(f473,plain,(
% 0.14/5.56 ~sP22_prd|sP26_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f472])).
% 0.14/5.56 fof(f478,definition,(
% 0.14/5.56 sP27_prd<=>(((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP27_prd])],[])).
% 0.14/5.56 fof(f479,plain,(
% 0.14/5.56 sP23_prd<=>(sP27_prd&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f446,f478])).
% 0.14/5.56 fof(f480,plain,(
% 0.14/5.56 (~sP23_prd|(sP27_prd&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit))))&(sP23_prd|(~sP27_prd|(op(e3,e4)=e1&(~op(e3,e1)=e4|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f479])).
% 0.14/5.56 fof(f481,plain,(
% 0.14/5.56 ~sP23_prd|sP27_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f480])).
% 0.14/5.56 fof(f494,definition,(
% 0.14/5.56 sP29_prd<=>(((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP29_prd])],[])).
% 0.14/5.56 fof(f495,plain,(
% 0.14/5.56 sP25_prd<=>(sP29_prd&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f462,f494])).
% 0.14/5.56 fof(f496,plain,(
% 0.14/5.56 (~sP25_prd|(sP29_prd&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit))))&(sP25_prd|(~sP29_prd|(op(e3,e2)=e3&(~op(e3,e3)=e2|e3=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f495])).
% 0.14/5.56 fof(f497,plain,(
% 0.14/5.56 ~sP25_prd|sP29_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f496])).
% 0.14/5.56 fof(f502,definition,(
% 0.14/5.56 sP30_prd<=>(((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP30_prd])],[])).
% 0.14/5.56 fof(f503,plain,(
% 0.14/5.56 sP26_prd<=>(sP30_prd&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f470,f502])).
% 0.14/5.56 fof(f504,plain,(
% 0.14/5.56 (~sP26_prd|(sP30_prd&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit))))&(sP26_prd|(~sP30_prd|(op(e3,e4)=e0&(~op(e3,e0)=e4|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f503])).
% 0.14/5.56 fof(f505,plain,(
% 0.14/5.56 ~sP26_prd|sP30_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f504])).
% 0.14/5.56 fof(f510,definition,(
% 0.14/5.56 sP31_prd<=>((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP31_prd])],[])).
% 0.14/5.56 fof(f511,plain,(
% 0.14/5.56 sP27_prd<=>(sP31_prd&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f478,f510])).
% 0.14/5.56 fof(f512,plain,(
% 0.14/5.56 (~sP27_prd|(sP31_prd&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit))))&(sP27_prd|(~sP31_prd|(op(e3,e3)=e1&(~op(e3,e1)=e3|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f511])).
% 0.14/5.56 fof(f513,plain,(
% 0.14/5.56 ~sP27_prd|sP31_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f512])).
% 0.14/5.56 fof(f526,definition,(
% 0.14/5.56 sP33_prd<=>((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP33_prd])],[])).
% 0.14/5.56 fof(f527,plain,(
% 0.14/5.56 sP29_prd<=>(sP33_prd&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f494,f526])).
% 0.14/5.56 fof(f528,plain,(
% 0.14/5.56 (~sP29_prd|(sP33_prd&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit))))&(sP29_prd|(~sP33_prd|(op(e3,e1)=e3&(~op(e3,e3)=e1|e3=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f527])).
% 0.14/5.56 fof(f529,plain,(
% 0.14/5.56 ~sP29_prd|sP33_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f528])).
% 0.14/5.56 fof(f534,definition,(
% 0.14/5.56 sP34_prd<=>((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP34_prd])],[])).
% 0.14/5.56 fof(f535,plain,(
% 0.14/5.56 sP30_prd<=>(sP34_prd&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f502,f534])).
% 0.14/5.56 fof(f536,plain,(
% 0.14/5.56 (~sP30_prd|(sP34_prd&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit))))&(sP30_prd|(~sP34_prd|(op(e3,e3)=e0&(~op(e3,e0)=e3|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f535])).
% 0.14/5.56 fof(f537,plain,(
% 0.14/5.56 ~sP30_prd|sP34_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f536])).
% 0.14/5.56 fof(f542,definition,(
% 0.14/5.56 sP35_prd<=>(((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP35_prd])],[])).
% 0.14/5.56 fof(f543,plain,(
% 0.14/5.56 sP31_prd<=>(sP35_prd&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f510,f542])).
% 0.14/5.56 fof(f544,plain,(
% 0.14/5.56 (~sP31_prd|(sP35_prd&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit))))&(sP31_prd|(~sP35_prd|(op(e3,e2)=e1&(~op(e3,e1)=e2|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f543])).
% 0.14/5.56 fof(f545,plain,(
% 0.14/5.56 ~sP31_prd|sP35_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f544])).
% 0.14/5.56 fof(f558,definition,(
% 0.14/5.56 sP37_prd<=>(((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP37_prd])],[])).
% 0.14/5.56 fof(f559,plain,(
% 0.14/5.56 sP33_prd<=>(sP37_prd&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f526,f558])).
% 0.14/5.56 fof(f560,plain,(
% 0.14/5.56 (~sP33_prd|(sP37_prd&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit))))&(sP33_prd|(~sP37_prd|(op(e3,e0)=e3&(~op(e3,e3)=e0|e3=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f559])).
% 0.14/5.56 fof(f561,plain,(
% 0.14/5.56 ~sP33_prd|sP37_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f560])).
% 0.14/5.56 fof(f566,definition,(
% 0.14/5.56 sP38_prd<=>(((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP38_prd])],[])).
% 0.14/5.56 fof(f567,plain,(
% 0.14/5.56 sP34_prd<=>(sP38_prd&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f534,f566])).
% 0.14/5.56 fof(f568,plain,(
% 0.14/5.56 (~sP34_prd|(sP38_prd&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit))))&(sP34_prd|(~sP38_prd|(op(e3,e2)=e0&(~op(e3,e0)=e2|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f567])).
% 0.14/5.56 fof(f569,plain,(
% 0.14/5.56 ~sP34_prd|sP38_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f568])).
% 0.14/5.56 fof(f574,definition,(
% 0.14/5.56 sP39_prd<=>((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP39_prd])],[])).
% 0.14/5.56 fof(f575,plain,(
% 0.14/5.56 sP35_prd<=>(sP39_prd&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f542,f574])).
% 0.14/5.56 fof(f576,plain,(
% 0.14/5.56 (~sP35_prd|(sP39_prd&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit))))&(sP35_prd|(~sP39_prd|(op(e3,e1)=e1&(~op(e3,e1)=e1|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f575])).
% 0.14/5.56 fof(f577,plain,(
% 0.14/5.56 ~sP35_prd|sP39_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f576])).
% 0.14/5.56 fof(f590,definition,(
% 0.14/5.56 sP41_prd<=>((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP41_prd])],[])).
% 0.14/5.56 fof(f591,plain,(
% 0.14/5.56 sP37_prd<=>(sP41_prd&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f558,f590])).
% 0.14/5.56 fof(f592,plain,(
% 0.14/5.56 (~sP37_prd|(sP41_prd&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit))))&(sP37_prd|(~sP41_prd|(op(e2,e4)=e3&(~op(e2,e3)=e4|e3=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f591])).
% 0.14/5.56 fof(f593,plain,(
% 0.14/5.56 ~sP37_prd|sP41_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f592])).
% 0.14/5.56 fof(f598,definition,(
% 0.14/5.56 sP42_prd<=>((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP42_prd])],[])).
% 0.14/5.56 fof(f599,plain,(
% 0.14/5.56 sP38_prd<=>(sP42_prd&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f566,f598])).
% 0.14/5.56 fof(f600,plain,(
% 0.14/5.56 (~sP38_prd|(sP42_prd&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit))))&(sP38_prd|(~sP42_prd|(op(e3,e1)=e0&(~op(e3,e0)=e1|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f599])).
% 0.14/5.56 fof(f601,plain,(
% 0.14/5.56 ~sP38_prd|sP42_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f600])).
% 0.14/5.56 fof(f606,definition,(
% 0.14/5.56 sP43_prd<=>(((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP43_prd])],[])).
% 0.14/5.56 fof(f607,plain,(
% 0.14/5.56 sP39_prd<=>(sP43_prd&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f574,f606])).
% 0.14/5.56 fof(f608,plain,(
% 0.14/5.56 (~sP39_prd|(sP43_prd&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit))))&(sP39_prd|(~sP43_prd|(op(e3,e0)=e1&(~op(e3,e1)=e0|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f607])).
% 0.14/5.56 fof(f609,plain,(
% 0.14/5.56 ~sP39_prd|sP43_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f608])).
% 0.14/5.56 fof(f622,definition,(
% 0.14/5.56 sP45_prd<=>(((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP45_prd])],[])).
% 0.14/5.56 fof(f623,plain,(
% 0.14/5.56 sP41_prd<=>(sP45_prd&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f590,f622])).
% 0.14/5.56 fof(f624,plain,(
% 0.14/5.56 (~sP41_prd|(sP45_prd&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit))))&(sP41_prd|(~sP45_prd|(op(e2,e3)=e3&(~op(e2,e3)=e3|e3=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f623])).
% 0.14/5.56 fof(f625,plain,(
% 0.14/5.56 ~sP41_prd|sP45_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f624])).
% 0.14/5.56 fof(f630,definition,(
% 0.14/5.56 sP46_prd<=>(((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP46_prd])],[])).
% 0.14/5.56 fof(f631,plain,(
% 0.14/5.56 sP42_prd<=>(sP46_prd&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f598,f630])).
% 0.14/5.56 fof(f632,plain,(
% 0.14/5.56 (~sP42_prd|(sP46_prd&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit))))&(sP42_prd|(~sP46_prd|(op(e3,e0)=e0&(~op(e3,e0)=e0|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f631])).
% 0.14/5.56 fof(f633,plain,(
% 0.14/5.56 ~sP42_prd|sP46_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f632])).
% 0.14/5.56 fof(f638,definition,(
% 0.14/5.56 sP47_prd<=>((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP47_prd])],[])).
% 0.14/5.56 fof(f639,plain,(
% 0.14/5.56 sP43_prd<=>(sP47_prd&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f606,f638])).
% 0.14/5.56 fof(f640,plain,(
% 0.14/5.56 (~sP43_prd|(sP47_prd&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit))))&(sP43_prd|(~sP47_prd|(op(e2,e4)=e1&(~op(e2,e1)=e4|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f639])).
% 0.14/5.56 fof(f641,plain,(
% 0.14/5.56 ~sP43_prd|sP47_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f640])).
% 0.14/5.56 fof(f654,definition,(
% 0.14/5.56 sP49_prd<=>((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP49_prd])],[])).
% 0.14/5.56 fof(f655,plain,(
% 0.14/5.56 sP45_prd<=>(sP49_prd&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f622,f654])).
% 0.14/5.56 fof(f656,plain,(
% 0.14/5.56 (~sP45_prd|(sP49_prd&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit))))&(sP45_prd|(~sP49_prd|(op(e2,e2)=e3&(~op(e2,e3)=e2|e3=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f655])).
% 0.14/5.56 fof(f657,plain,(
% 0.14/5.56 ~sP45_prd|sP49_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f656])).
% 0.14/5.56 fof(f662,definition,(
% 0.14/5.56 sP50_prd<=>((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP50_prd])],[])).
% 0.14/5.56 fof(f663,plain,(
% 0.14/5.56 sP46_prd<=>(sP50_prd&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f630,f662])).
% 0.14/5.56 fof(f664,plain,(
% 0.14/5.56 (~sP46_prd|(sP50_prd&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit))))&(sP46_prd|(~sP50_prd|(op(e2,e4)=e0&(~op(e2,e0)=e4|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f663])).
% 0.14/5.56 fof(f665,plain,(
% 0.14/5.56 ~sP46_prd|sP50_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f664])).
% 0.14/5.56 fof(f670,definition,(
% 0.14/5.56 sP51_prd<=>(((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP51_prd])],[])).
% 0.14/5.56 fof(f671,plain,(
% 0.14/5.56 sP47_prd<=>(sP51_prd&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f638,f670])).
% 0.14/5.56 fof(f672,plain,(
% 0.14/5.56 (~sP47_prd|(sP51_prd&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit))))&(sP47_prd|(~sP51_prd|(op(e2,e3)=e1&(~op(e2,e1)=e3|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f671])).
% 0.14/5.56 fof(f673,plain,(
% 0.14/5.56 ~sP47_prd|sP51_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f672])).
% 0.14/5.56 fof(f674,plain,(
% 0.14/5.56 ~sP47_prd|~op(e2,e3)=e1|op(e2,e1)=e3),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f672])).
% 0.14/5.56 fof(f686,definition,(
% 0.14/5.56 sP53_prd<=>(((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP53_prd])],[])).
% 0.14/5.56 fof(f687,plain,(
% 0.14/5.56 sP49_prd<=>(sP53_prd&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f654,f686])).
% 0.14/5.56 fof(f688,plain,(
% 0.14/5.56 (~sP49_prd|(sP53_prd&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit))))&(sP49_prd|(~sP53_prd|(op(e2,e1)=e3&(~op(e2,e3)=e1|e3=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f687])).
% 0.14/5.56 fof(f689,plain,(
% 0.14/5.56 ~sP49_prd|sP53_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f688])).
% 0.14/5.56 fof(f694,definition,(
% 0.14/5.56 sP54_prd<=>(((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP54_prd])],[])).
% 0.14/5.56 fof(f695,plain,(
% 0.14/5.56 sP50_prd<=>(sP54_prd&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f662,f694])).
% 0.14/5.56 fof(f696,plain,(
% 0.14/5.56 (~sP50_prd|(sP54_prd&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit))))&(sP50_prd|(~sP54_prd|(op(e2,e3)=e0&(~op(e2,e0)=e3|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f695])).
% 0.14/5.56 fof(f697,plain,(
% 0.14/5.56 ~sP50_prd|sP54_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f696])).
% 0.14/5.56 fof(f702,definition,(
% 0.14/5.56 sP55_prd<=>((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP55_prd])],[])).
% 0.14/5.56 fof(f703,plain,(
% 0.14/5.56 sP51_prd<=>(sP55_prd&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f670,f702])).
% 0.14/5.56 fof(f704,plain,(
% 0.14/5.56 (~sP51_prd|(sP55_prd&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit))))&(sP51_prd|(~sP55_prd|(op(e2,e2)=e1&(~op(e2,e1)=e2|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f703])).
% 0.14/5.56 fof(f705,plain,(
% 0.14/5.56 ~sP51_prd|sP55_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f704])).
% 0.14/5.56 fof(f718,definition,(
% 0.14/5.56 sP57_prd<=>((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP57_prd])],[])).
% 0.14/5.56 fof(f719,plain,(
% 0.14/5.56 sP53_prd<=>(sP57_prd&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f686,f718])).
% 0.14/5.56 fof(f720,plain,(
% 0.14/5.56 (~sP53_prd|(sP57_prd&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit))))&(sP53_prd|(~sP57_prd|(op(e2,e0)=e3&(~op(e2,e3)=e0|e3=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f719])).
% 0.14/5.56 fof(f721,plain,(
% 0.14/5.56 ~sP53_prd|sP57_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f720])).
% 0.14/5.56 fof(f726,definition,(
% 0.14/5.56 sP58_prd<=>((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP58_prd])],[])).
% 0.14/5.56 fof(f727,plain,(
% 0.14/5.56 sP54_prd<=>(sP58_prd&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f694,f726])).
% 0.14/5.56 fof(f728,plain,(
% 0.14/5.56 (~sP54_prd|(sP58_prd&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit))))&(sP54_prd|(~sP58_prd|(op(e2,e2)=e0&(~op(e2,e0)=e2|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f727])).
% 0.14/5.56 fof(f729,plain,(
% 0.14/5.56 ~sP54_prd|sP58_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f728])).
% 0.14/5.56 fof(f734,definition,(
% 0.14/5.56 sP59_prd<=>(((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP59_prd])],[])).
% 0.14/5.56 fof(f735,plain,(
% 0.14/5.56 sP55_prd<=>(sP59_prd&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f702,f734])).
% 0.14/5.56 fof(f736,plain,(
% 0.14/5.56 (~sP55_prd|(sP59_prd&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit))))&(sP55_prd|(~sP59_prd|(op(e2,e1)=e1&(~op(e2,e1)=e1|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f735])).
% 0.14/5.56 fof(f737,plain,(
% 0.14/5.56 ~sP55_prd|sP59_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f736])).
% 0.14/5.56 fof(f750,definition,(
% 0.14/5.56 sP61_prd<=>(((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP61_prd])],[])).
% 0.14/5.56 fof(f751,plain,(
% 0.14/5.56 sP57_prd<=>(sP61_prd&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f718,f750])).
% 0.14/5.56 fof(f752,plain,(
% 0.14/5.56 (~sP57_prd|(sP61_prd&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit))))&(sP57_prd|(~sP61_prd|(op(e1,e4)=e3&(~op(e1,e3)=e4|e3=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f751])).
% 0.14/5.56 fof(f753,plain,(
% 0.14/5.56 ~sP57_prd|sP61_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f752])).
% 0.14/5.56 fof(f758,definition,(
% 0.14/5.56 sP62_prd<=>(((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP62_prd])],[])).
% 0.14/5.56 fof(f759,plain,(
% 0.14/5.56 sP58_prd<=>(sP62_prd&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f726,f758])).
% 0.14/5.56 fof(f760,plain,(
% 0.14/5.56 (~sP58_prd|(sP62_prd&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit))))&(sP58_prd|(~sP62_prd|(op(e2,e1)=e0&(~op(e2,e0)=e1|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f759])).
% 0.14/5.56 fof(f761,plain,(
% 0.14/5.56 ~sP58_prd|sP62_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f760])).
% 0.14/5.56 fof(f766,definition,(
% 0.14/5.56 sP63_prd<=>((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP63_prd])],[])).
% 0.14/5.56 fof(f767,plain,(
% 0.14/5.56 sP59_prd<=>(sP63_prd&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f734,f766])).
% 0.14/5.56 fof(f768,plain,(
% 0.14/5.56 (~sP59_prd|(sP63_prd&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit))))&(sP59_prd|(~sP63_prd|(op(e2,e0)=e1&(~op(e2,e1)=e0|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f767])).
% 0.14/5.56 fof(f769,plain,(
% 0.14/5.56 ~sP59_prd|sP63_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f768])).
% 0.14/5.56 fof(f782,definition,(
% 0.14/5.56 sP65_prd<=>((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP65_prd])],[])).
% 0.14/5.56 fof(f783,plain,(
% 0.14/5.56 sP61_prd<=>(sP65_prd&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f750,f782])).
% 0.14/5.56 fof(f784,plain,(
% 0.14/5.56 (~sP61_prd|(sP65_prd&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit))))&(sP61_prd|(~sP65_prd|(op(e1,e3)=e3&(~op(e1,e3)=e3|e3=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f783])).
% 0.14/5.56 fof(f785,plain,(
% 0.14/5.56 ~sP61_prd|sP65_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f784])).
% 0.14/5.56 fof(f790,definition,(
% 0.14/5.56 sP66_prd<=>((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP66_prd])],[])).
% 0.14/5.56 fof(f791,plain,(
% 0.14/5.56 sP62_prd<=>(sP66_prd&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f758,f790])).
% 0.14/5.56 fof(f792,plain,(
% 0.14/5.56 (~sP62_prd|(sP66_prd&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit))))&(sP62_prd|(~sP66_prd|(op(e2,e0)=e0&(~op(e2,e0)=e0|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f791])).
% 0.14/5.56 fof(f793,plain,(
% 0.14/5.56 ~sP62_prd|sP66_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f792])).
% 0.14/5.56 fof(f798,definition,(
% 0.14/5.56 sP67_prd<=>(((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP67_prd])],[])).
% 0.14/5.56 fof(f799,plain,(
% 0.14/5.56 sP63_prd<=>(sP67_prd&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f766,f798])).
% 0.14/5.56 fof(f800,plain,(
% 0.14/5.56 (~sP63_prd|(sP67_prd&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit))))&(sP63_prd|(~sP67_prd|(op(e1,e4)=e1&(~op(e1,e1)=e4|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f799])).
% 0.14/5.56 fof(f801,plain,(
% 0.14/5.56 ~sP63_prd|sP67_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f800])).
% 0.14/5.56 fof(f814,definition,(
% 0.14/5.56 sP69_prd<=>(((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP69_prd])],[])).
% 0.14/5.56 fof(f815,plain,(
% 0.14/5.56 sP65_prd<=>(sP69_prd&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f782,f814])).
% 0.14/5.56 fof(f816,plain,(
% 0.14/5.56 (~sP65_prd|(sP69_prd&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit))))&(sP65_prd|(~sP69_prd|(op(e1,e2)=e3&(~op(e1,e3)=e2|e3=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f815])).
% 0.14/5.56 fof(f818,plain,(
% 0.14/5.56 ~sP65_prd|~op(e1,e2)=e3|op(e1,e3)=e2),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f816])).
% 0.14/5.56 fof(f822,definition,(
% 0.14/5.56 sP70_prd<=>(((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP70_prd])],[])).
% 0.14/5.56 fof(f823,plain,(
% 0.14/5.56 sP66_prd<=>(sP70_prd&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f790,f822])).
% 0.14/5.56 fof(f824,plain,(
% 0.14/5.56 (~sP66_prd|(sP70_prd&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit))))&(sP66_prd|(~sP70_prd|(op(e1,e4)=e0&(~op(e1,e0)=e4|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f823])).
% 0.14/5.56 fof(f825,plain,(
% 0.14/5.56 ~sP66_prd|sP70_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f824])).
% 0.14/5.56 fof(f830,definition,(
% 0.14/5.56 sP71_prd<=>((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP71_prd])],[])).
% 0.14/5.56 fof(f831,plain,(
% 0.14/5.56 sP67_prd<=>(sP71_prd&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f798,f830])).
% 0.14/5.56 fof(f832,plain,(
% 0.14/5.56 (~sP67_prd|(sP71_prd&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit))))&(sP67_prd|(~sP71_prd|(op(e1,e3)=e1&(~op(e1,e1)=e3|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f831])).
% 0.14/5.56 fof(f833,plain,(
% 0.14/5.56 ~sP67_prd|sP71_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f832])).
% 0.14/5.56 fof(f854,definition,(
% 0.14/5.56 sP74_prd<=>((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP74_prd])],[])).
% 0.14/5.56 fof(f855,plain,(
% 0.14/5.56 sP70_prd<=>(sP74_prd&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f822,f854])).
% 0.14/5.56 fof(f856,plain,(
% 0.14/5.56 (~sP70_prd|(sP74_prd&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit))))&(sP70_prd|(~sP74_prd|(op(e1,e3)=e0&(~op(e1,e0)=e3|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f855])).
% 0.14/5.56 fof(f857,plain,(
% 0.14/5.56 ~sP70_prd|sP74_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f856])).
% 0.14/5.56 fof(f862,definition,(
% 0.14/5.56 sP75_prd<=>(((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP75_prd])],[])).
% 0.14/5.56 fof(f863,plain,(
% 0.14/5.56 sP71_prd<=>(sP75_prd&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f830,f862])).
% 0.14/5.56 fof(f864,plain,(
% 0.14/5.56 (~sP71_prd|(sP75_prd&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit))))&(sP71_prd|(~sP75_prd|(op(e1,e2)=e1&(~op(e1,e1)=e2|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f863])).
% 0.14/5.56 fof(f865,plain,(
% 0.14/5.56 ~sP71_prd|sP75_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f864])).
% 0.14/5.56 fof(f886,definition,(
% 0.14/5.56 sP78_prd<=>(((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP78_prd])],[])).
% 0.14/5.56 fof(f887,plain,(
% 0.14/5.56 sP74_prd<=>(sP78_prd&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f854,f886])).
% 0.14/5.56 fof(f888,plain,(
% 0.14/5.56 (~sP74_prd|(sP78_prd&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit))))&(sP74_prd|(~sP78_prd|(op(e1,e2)=e0&(~op(e1,e0)=e2|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f887])).
% 0.14/5.56 fof(f889,plain,(
% 0.14/5.56 ~sP74_prd|sP78_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f888])).
% 0.14/5.56 fof(f894,definition,(
% 0.14/5.56 sP79_prd<=>((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP79_prd])],[])).
% 0.14/5.56 fof(f895,plain,(
% 0.14/5.56 sP75_prd<=>(sP79_prd&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f862,f894])).
% 0.14/5.56 fof(f896,plain,(
% 0.14/5.56 (~sP75_prd|(sP79_prd&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit))))&(sP75_prd|(~sP79_prd|(op(e1,e1)=e1&(~op(e1,e1)=e1|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f895])).
% 0.14/5.56 fof(f897,plain,(
% 0.14/5.56 ~sP75_prd|sP79_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f896])).
% 0.14/5.56 fof(f918,definition,(
% 0.14/5.56 sP82_prd<=>((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP82_prd])],[])).
% 0.14/5.56 fof(f919,plain,(
% 0.14/5.56 sP78_prd<=>(sP82_prd&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f886,f918])).
% 0.14/5.56 fof(f920,plain,(
% 0.14/5.56 (~sP78_prd|(sP82_prd&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit))))&(sP78_prd|(~sP82_prd|(op(e1,e1)=e0&(~op(e1,e0)=e1|e0=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f919])).
% 0.14/5.56 fof(f923,plain,(
% 0.14/5.56 ~sP78_prd|~op(e1,e1)=e0|~e0=unit),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f920])).
% 0.14/5.56 fof(f926,definition,(
% 0.14/5.56 sP83_prd<=>(((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP83_prd])],[])).
% 0.14/5.56 fof(f927,plain,(
% 0.14/5.56 sP79_prd<=>(sP83_prd&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f894,f926])).
% 0.14/5.56 fof(f928,plain,(
% 0.14/5.56 (~sP79_prd|(sP83_prd&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit))))&(sP79_prd|(~sP83_prd|(op(e1,e0)=e1&(~op(e1,e1)=e0|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f927])).
% 0.14/5.56 fof(f929,plain,(
% 0.14/5.56 ~sP79_prd|sP83_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f928])).
% 0.14/5.56 fof(f958,definition,(
% 0.14/5.56 sP87_prd<=>((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP87_prd])],[])).
% 0.14/5.56 fof(f959,plain,(
% 0.14/5.56 sP83_prd<=>(sP87_prd&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f926,f958])).
% 0.14/5.56 fof(f960,plain,(
% 0.14/5.56 (~sP83_prd|(sP87_prd&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit))))&(sP83_prd|(~sP87_prd|(op(e0,e4)=e1&(~op(e0,e1)=e4|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f959])).
% 0.14/5.56 fof(f961,plain,(
% 0.14/5.56 ~sP83_prd|sP87_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f960])).
% 0.14/5.56 fof(f962,plain,(
% 0.14/5.56 ~sP83_prd|~op(e0,e4)=e1|op(e0,e1)=e4),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f960])).
% 0.14/5.56 fof(f990,definition,(
% 0.14/5.56 sP91_prd<=>(((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP91_prd])],[])).
% 0.14/5.56 fof(f991,plain,(
% 0.14/5.56 sP87_prd<=>(sP91_prd&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f958,f990])).
% 0.14/5.56 fof(f992,plain,(
% 0.14/5.56 (~sP87_prd|(sP91_prd&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit))))&(sP87_prd|(~sP91_prd|(op(e0,e3)=e1&(~op(e0,e1)=e3|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f991])).
% 0.14/5.56 fof(f993,plain,(
% 0.14/5.56 ~sP87_prd|sP91_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f992])).
% 0.14/5.56 fof(f994,plain,(
% 0.14/5.56 ~sP87_prd|~op(e0,e3)=e1|op(e0,e1)=e3),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f992])).
% 0.14/5.56 fof(f1023,definition,(
% 0.14/5.56 sP94_prd<=>((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sP94_prd])],[])).
% 0.14/5.56 fof(f1024,plain,(
% 0.14/5.56 sP91_prd<=>(sP94_prd&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))),
% 0.14/5.56 inference(formula_renaming,[status(thm)],[f990,f1023])).
% 0.14/5.56 fof(f1025,plain,(
% 0.14/5.56 (~sP91_prd|(sP94_prd&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit))))&(sP91_prd|(~sP94_prd|(op(e0,e2)=e1&(~op(e0,e1)=e2|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f1024])).
% 0.14/5.56 fof(f1026,plain,(
% 0.14/5.56 ~sP91_prd|sP94_prd),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f1025])).
% 0.14/5.56 fof(f1048,plain,(
% 0.14/5.56 (~sP94_prd|((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit))))&(sP94_prd|((op(e0,e0)=e1&(~op(e0,e1)=e0|e1=unit))|(op(e0,e1)=e1&(~op(e0,e1)=e1|e1=unit))))),
% 0.14/5.56 inference(NNF_transformation,[status(thm)],[f1023])).
% 0.14/5.56 fof(f1049,plain,(
% 0.14/5.56 ~sP94_prd|~op(e0,e0)=e1|op(e0,e1)=e0),
% 0.14/5.56 inference(cnf_transformation,[status(thm)],[f1048])).
% 0.14/5.56 fof(f1069,definition,(
% 0.14/5.56 sQ1_spl <=> (op(e0,e0)=e1)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1082,definition,(
% 0.14/5.56 sQ5_spl <=> (op(e0,e1)=e0)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1083,plain,(
% 0.14/5.56 op(e0,e1)=e0|~sQ5_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1082])).
% 0.14/5.56 fof(f1085,definition,(
% 0.14/5.56 sQ6_spl <=> (op(e0,e1)=e1)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1091,definition,(
% 0.14/5.56 sQ8_spl <=> (op(e0,e1)=e3)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1094,definition,(
% 0.14/5.56 sQ9_spl <=> (op(e0,e1)=e4)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1101,definition,(
% 0.14/5.56 sQ11_spl <=> (op(e0,e2)=e1)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1102,plain,(
% 0.14/5.56 op(e0,e2)=e1|~sQ11_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1101])).
% 0.14/5.56 fof(f1104,definition,(
% 0.14/5.56 sQ12_spl <=> (op(e0,e2)=e2)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1117,definition,(
% 0.14/5.56 sQ16_spl <=> (op(e0,e3)=e1)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1123,definition,(
% 0.14/5.56 sQ18_spl <=> (op(e0,e3)=e3)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1124,plain,(
% 0.14/5.56 op(e0,e3)=e3|~sQ18_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1123])).
% 0.14/5.56 fof(f1133,definition,(
% 0.14/5.56 sQ21_spl <=> (op(e0,e4)=e1)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1149,definition,(
% 0.14/5.56 sQ26_spl <=> (op(e1,e0)=e1)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1150,plain,(
% 0.14/5.56 op(e1,e0)=e1|~sQ26_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1149])).
% 0.14/5.56 fof(f1155,definition,(
% 0.14/5.56 sQ28_spl <=> (op(e1,e0)=e3)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1156,plain,(
% 0.14/5.56 op(e1,e0)=e3|~sQ28_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1155])).
% 0.14/5.56 fof(f1162,definition,(
% 0.14/5.56 sQ30_spl <=> (op(e1,e1)=e0)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1164,plain,(
% 0.14/5.56 ~op(e1,e1)=e0|sQ30_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1162])).
% 0.14/5.56 fof(f1165,definition,(
% 0.14/5.56 sQ31_spl <=> (op(e1,e1)=e1)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1166,plain,(
% 0.14/5.56 op(e1,e1)=e1|~sQ31_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1165])).
% 0.14/5.56 fof(f1171,definition,(
% 0.14/5.56 sQ33_spl <=> (op(e1,e1)=e3)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1172,plain,(
% 0.14/5.56 op(e1,e1)=e3|~sQ33_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1171])).
% 0.14/5.56 fof(f1187,definition,(
% 0.14/5.56 sQ38_spl <=> (op(e1,e2)=e3)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1194,definition,(
% 0.14/5.56 sQ40_spl <=> (op(e1,e3)=e0)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1195,plain,(
% 0.14/5.56 op(e1,e3)=e0|~sQ40_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1194])).
% 0.14/5.56 fof(f1197,definition,(
% 0.14/5.56 sQ41_spl <=> (op(e1,e3)=e1)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1198,plain,(
% 0.14/5.56 op(e1,e3)=e1|~sQ41_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1197])).
% 0.14/5.56 fof(f1200,definition,(
% 0.14/5.56 sQ42_spl <=> (op(e1,e3)=e2)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1201,plain,(
% 0.14/5.56 op(e1,e3)=e2|~sQ42_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1200])).
% 0.14/5.56 fof(f1203,definition,(
% 0.14/5.56 sQ43_spl <=> (op(e1,e3)=e3)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1206,definition,(
% 0.14/5.56 sQ44_spl <=> (op(e1,e3)=e4)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1209,plain,(
% 0.14/5.56 sQ40_spl|sQ41_spl|sQ42_spl|sQ43_spl|sQ44_spl),
% 0.14/5.56 inference(split_clause,[status(thm)],[f17,f1194,f1197,f1200,f1203,f1206])).
% 0.14/5.56 fof(f1219,definition,(
% 0.14/5.56 sQ48_spl <=> (op(e1,e4)=e3)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1220,plain,(
% 0.14/5.56 op(e1,e4)=e3|~sQ48_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1219])).
% 0.14/5.56 fof(f1232,definition,(
% 0.14/5.56 sQ52_spl <=> (op(e2,e0)=e2)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1233,plain,(
% 0.14/5.56 op(e2,e0)=e2|~sQ52_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1232])).
% 0.14/5.56 fof(f1242,definition,(
% 0.14/5.56 sQ55_spl <=> (op(e2,e1)=e0)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1243,plain,(
% 0.14/5.56 op(e2,e1)=e0|~sQ55_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1242])).
% 0.14/5.56 fof(f1245,definition,(
% 0.14/5.56 sQ56_spl <=> (op(e2,e1)=e1)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1246,plain,(
% 0.14/5.56 op(e2,e1)=e1|~sQ56_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1245])).
% 0.14/5.56 fof(f1248,definition,(
% 0.14/5.56 sQ57_spl <=> (op(e2,e1)=e2)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1251,definition,(
% 0.14/5.56 sQ58_spl <=> (op(e2,e1)=e3)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1252,plain,(
% 0.14/5.56 op(e2,e1)=e3|~sQ58_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1251])).
% 0.14/5.56 fof(f1254,definition,(
% 0.14/5.56 sQ59_spl <=> (op(e2,e1)=e4)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1257,plain,(
% 0.14/5.56 sQ55_spl|sQ56_spl|sQ57_spl|sQ58_spl|sQ59_spl),
% 0.14/5.56 inference(split_clause,[status(thm)],[f20,f1242,f1245,f1248,f1251,f1254])).
% 0.14/5.56 fof(f1258,definition,(
% 0.14/5.56 sQ60_spl <=> (op(e2,e2)=e0)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1259,plain,(
% 0.14/5.56 op(e2,e2)=e0|~sQ60_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1258])).
% 0.14/5.56 fof(f1261,definition,(
% 0.14/5.56 sQ61_spl <=> (op(e2,e2)=e1)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1262,plain,(
% 0.14/5.56 op(e2,e2)=e1|~sQ61_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1261])).
% 0.14/5.56 fof(f1264,definition,(
% 0.14/5.56 sQ62_spl <=> (op(e2,e2)=e2)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1265,plain,(
% 0.14/5.56 op(e2,e2)=e2|~sQ62_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1264])).
% 0.14/5.56 fof(f1267,definition,(
% 0.14/5.56 sQ63_spl <=> (op(e2,e2)=e3)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1268,plain,(
% 0.14/5.56 op(e2,e2)=e3|~sQ63_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1267])).
% 0.14/5.56 fof(f1270,definition,(
% 0.14/5.56 sQ64_spl <=> (op(e2,e2)=e4)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1273,plain,(
% 0.14/5.56 sQ60_spl|sQ61_spl|sQ62_spl|sQ63_spl|sQ64_spl),
% 0.14/5.56 inference(split_clause,[status(thm)],[f21,f1258,f1261,f1264,f1267,f1270])).
% 0.14/5.56 fof(f1274,definition,(
% 0.14/5.56 sQ65_spl <=> (op(e2,e3)=e0)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1275,plain,(
% 0.14/5.56 op(e2,e3)=e0|~sQ65_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1274])).
% 0.14/5.56 fof(f1277,definition,(
% 0.14/5.56 sQ66_spl <=> (op(e2,e3)=e1)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1280,definition,(
% 0.14/5.56 sQ67_spl <=> (op(e2,e3)=e2)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1283,definition,(
% 0.14/5.56 sQ68_spl <=> (op(e2,e3)=e3)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1284,plain,(
% 0.14/5.56 op(e2,e3)=e3|~sQ68_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1283])).
% 0.14/5.56 fof(f1286,definition,(
% 0.14/5.56 sQ69_spl <=> (op(e2,e3)=e4)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1287,plain,(
% 0.14/5.56 op(e2,e3)=e4|~sQ69_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1286])).
% 0.14/5.56 fof(f1289,plain,(
% 0.14/5.56 sQ65_spl|sQ66_spl|sQ67_spl|sQ68_spl|sQ69_spl),
% 0.14/5.56 inference(split_clause,[status(thm)],[f22,f1274,f1277,f1280,f1283,f1286])).
% 0.14/5.56 fof(f1296,definition,(
% 0.14/5.56 sQ72_spl <=> (op(e2,e4)=e2)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1297,plain,(
% 0.14/5.56 op(e2,e4)=e2|~sQ72_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1296])).
% 0.14/5.56 fof(f1363,definition,(
% 0.14/5.56 sQ93_spl <=> (op(e3,e3)=e3)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1424,definition,(
% 0.14/5.56 sQ112_spl <=> (op(e4,e2)=e2)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1425,plain,(
% 0.14/5.56 op(e4,e2)=e2|~sQ112_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1424])).
% 0.14/5.56 fof(f1427,definition,(
% 0.14/5.56 sQ113_spl <=> (op(e4,e2)=e3)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1428,plain,(
% 0.14/5.56 op(e4,e2)=e3|~sQ113_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1427])).
% 0.14/5.56 fof(f1430,definition,(
% 0.14/5.56 sQ114_spl <=> (op(e4,e2)=e4)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1431,plain,(
% 0.14/5.56 op(e4,e2)=e4|~sQ114_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1430])).
% 0.14/5.56 fof(f1434,definition,(
% 0.14/5.56 sQ115_spl <=> (op(e4,e3)=e0)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1437,definition,(
% 0.14/5.56 sQ116_spl <=> (op(e4,e3)=e1)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1438,plain,(
% 0.14/5.56 op(e4,e3)=e1|~sQ116_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1437])).
% 0.14/5.56 fof(f1440,definition,(
% 0.14/5.56 sQ117_spl <=> (op(e4,e3)=e2)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1443,definition,(
% 0.14/5.56 sQ118_spl <=> (op(e4,e3)=e3)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1446,definition,(
% 0.14/5.56 sQ119_spl <=> (op(e4,e3)=e4)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1449,plain,(
% 0.14/5.56 sQ115_spl|sQ116_spl|sQ117_spl|sQ118_spl|sQ119_spl),
% 0.14/5.56 inference(split_clause,[status(thm)],[f32,f1434,f1437,f1440,f1443,f1446])).
% 0.14/5.56 fof(f1450,definition,(
% 0.14/5.56 sQ120_spl <=> (op(e4,e4)=e0)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1451,plain,(
% 0.14/5.56 op(e4,e4)=e0|~sQ120_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1450])).
% 0.14/5.56 fof(f1453,definition,(
% 0.14/5.56 sQ121_spl <=> (op(e4,e4)=e1)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1454,plain,(
% 0.14/5.56 op(e4,e4)=e1|~sQ121_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1453])).
% 0.14/5.56 fof(f1456,definition,(
% 0.14/5.56 sQ122_spl <=> (op(e4,e4)=e2)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1459,definition,(
% 0.14/5.56 sQ123_spl <=> (op(e4,e4)=e3)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition])).
% 0.14/5.56 fof(f1460,plain,(
% 0.14/5.56 op(e4,e4)=e3|~sQ123_spl),
% 0.14/5.56 inference(component_clause,[status(thm)],[f1459])).
% 0.14/5.56 fof(f1462,definition,(
% 0.14/5.56 sQ124_spl <=> (op(e4,e4)=e4)),
% 0.14/5.56 introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1465,plain,(
% 0.14/5.57 sQ120_spl|sQ121_spl|sQ122_spl|sQ123_spl|sQ124_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f33,f1450,f1453,f1456,f1459,f1462])).
% 0.14/5.57 fof(f1466,definition,(
% 0.14/5.57 sQ125_spl <=> (unit=e0)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1467,plain,(
% 0.14/5.57 unit=e0|~sQ125_spl),
% 0.14/5.57 inference(component_clause,[status(thm)],[f1466])).
% 0.14/5.57 fof(f1469,definition,(
% 0.14/5.57 sQ126_spl <=> (unit=e1)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1470,plain,(
% 0.14/5.57 unit=e1|~sQ126_spl),
% 0.14/5.57 inference(component_clause,[status(thm)],[f1469])).
% 0.14/5.57 fof(f1472,definition,(
% 0.14/5.57 sQ127_spl <=> (unit=e2)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1473,plain,(
% 0.14/5.57 unit=e2|~sQ127_spl),
% 0.14/5.57 inference(component_clause,[status(thm)],[f1472])).
% 0.14/5.57 fof(f1475,definition,(
% 0.14/5.57 sQ128_spl <=> (unit=e3)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1476,plain,(
% 0.14/5.57 unit=e3|~sQ128_spl),
% 0.14/5.57 inference(component_clause,[status(thm)],[f1475])).
% 0.14/5.57 fof(f1478,definition,(
% 0.14/5.57 sQ129_spl <=> (unit=e4)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1479,plain,(
% 0.14/5.57 unit=e4|~sQ129_spl),
% 0.14/5.57 inference(component_clause,[status(thm)],[f1478])).
% 0.14/5.57 fof(f1481,plain,(
% 0.14/5.57 sQ125_spl|sQ126_spl|sQ127_spl|sQ128_spl|sQ129_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f44,f1466,f1469,f1472,f1475,f1478])).
% 0.14/5.57 fof(f1484,plain,(
% 0.14/5.57 sQ1_spl|sQ6_spl|sQ11_spl|sQ16_spl|sQ21_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f47,f1069,f1085,f1101,f1117,f1133])).
% 0.14/5.57 fof(f1498,plain,(
% 0.14/5.57 sQ28_spl|sQ33_spl|sQ38_spl|sQ43_spl|sQ48_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f61,f1155,f1171,f1187,f1203,f1219])).
% 0.14/5.57 fof(f1519,plain,(
% 0.14/5.57 sQ18_spl|sQ43_spl|sQ68_spl|sQ93_spl|sQ118_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f82,f1123,f1203,f1283,f1363,f1443])).
% 0.14/5.57 fof(f1537,plain,(
% 0.14/5.57 ~sQ30_spl|sQ26_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f215,f1162,f1149])).
% 0.14/5.57 fof(f1542,plain,(
% 0.14/5.57 ~sQ60_spl|sQ52_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f220,f1258,f1232])).
% 0.14/5.57 fof(f1546,plain,(
% 0.14/5.57 ~sQ64_spl|sQ72_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f224,f1270,f1296])).
% 0.14/5.57 fof(f1554,plain,(
% 0.14/5.57 ~sQ122_spl|sQ114_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f232,f1456,f1430])).
% 0.14/5.57 fof(f1557,definition,(
% 0.14/5.57 sQ130_spl <=> (sP0_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1576,plain,(
% 0.14/5.57 sQ130_spl|~sQ44_spl|sQ48_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f251,f1557,f1206,f1219])).
% 0.14/5.57 fof(f1610,definition,(
% 0.14/5.57 sQ131_spl <=> (sP1_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1613,definition,(
% 0.14/5.57 sQ132_spl <=> (sP2_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1616,plain,(
% 0.14/5.57 ~sQ130_spl|sQ131_spl|sQ132_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f290,f1557,f1610,f1613])).
% 0.14/5.57 fof(f1622,definition,(
% 0.14/5.57 sQ133_spl <=> (sP3_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1625,definition,(
% 0.14/5.57 sQ134_spl <=> (sP4_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1628,plain,(
% 0.14/5.57 ~sQ131_spl|sQ133_spl|sQ134_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f301,f1610,f1622,f1625])).
% 0.14/5.57 fof(f1634,definition,(
% 0.14/5.57 sQ135_spl <=> (sP5_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1637,plain,(
% 0.14/5.57 ~sQ132_spl|sQ135_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f310,f1613,f1634])).
% 0.14/5.57 fof(f1642,definition,(
% 0.14/5.57 sQ136_spl <=> (sP6_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1645,definition,(
% 0.14/5.57 sQ137_spl <=> (sP7_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1648,plain,(
% 0.14/5.57 ~sQ133_spl|sQ136_spl|sQ137_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f320,f1622,f1642,f1645])).
% 0.14/5.57 fof(f1658,plain,(
% 0.14/5.57 ~sQ134_spl|~sQ117_spl|sQ113_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f330,f1625,f1440,f1427])).
% 0.14/5.57 fof(f1662,definition,(
% 0.14/5.57 sQ139_spl <=> (sP9_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1665,plain,(
% 0.14/5.57 ~sQ135_spl|sQ139_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f337,f1634,f1662])).
% 0.14/5.57 fof(f1670,definition,(
% 0.14/5.57 sQ140_spl <=> (sP10_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1673,plain,(
% 0.14/5.57 ~sQ136_spl|sQ140_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f345,f1642,f1670])).
% 0.14/5.57 fof(f1678,definition,(
% 0.14/5.57 sQ141_spl <=> (sP11_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1681,plain,(
% 0.14/5.57 ~sQ137_spl|sQ141_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f353,f1645,f1678])).
% 0.14/5.57 fof(f1694,definition,(
% 0.14/5.57 sQ143_spl <=> (sP13_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1697,plain,(
% 0.14/5.57 ~sQ139_spl|sQ143_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f369,f1662,f1694])).
% 0.14/5.57 fof(f1702,definition,(
% 0.14/5.57 sQ144_spl <=> (sP14_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1705,plain,(
% 0.14/5.57 ~sQ140_spl|sQ144_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f377,f1670,f1702])).
% 0.14/5.57 fof(f1710,definition,(
% 0.14/5.57 sQ145_spl <=> (sP15_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1713,plain,(
% 0.14/5.57 ~sQ141_spl|sQ145_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f385,f1678,f1710])).
% 0.14/5.57 fof(f1726,definition,(
% 0.14/5.57 sQ147_spl <=> (sP17_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1729,plain,(
% 0.14/5.57 ~sQ143_spl|sQ147_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f401,f1694,f1726])).
% 0.14/5.57 fof(f1734,definition,(
% 0.14/5.57 sQ148_spl <=> (sP18_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1737,plain,(
% 0.14/5.57 ~sQ144_spl|sQ148_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f409,f1702,f1734])).
% 0.14/5.57 fof(f1742,definition,(
% 0.14/5.57 sQ149_spl <=> (sP19_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1745,plain,(
% 0.14/5.57 ~sQ145_spl|sQ149_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f417,f1710,f1742])).
% 0.14/5.57 fof(f1758,definition,(
% 0.14/5.57 sQ151_spl <=> (sP21_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1761,plain,(
% 0.14/5.57 ~sQ147_spl|sQ151_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f433,f1726,f1758])).
% 0.14/5.57 fof(f1766,definition,(
% 0.14/5.57 sQ152_spl <=> (sP22_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1769,plain,(
% 0.14/5.57 ~sQ148_spl|sQ152_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f441,f1734,f1766])).
% 0.14/5.57 fof(f1774,definition,(
% 0.14/5.57 sQ153_spl <=> (sP23_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1777,plain,(
% 0.14/5.57 ~sQ149_spl|sQ153_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f449,f1742,f1774])).
% 0.14/5.57 fof(f1790,definition,(
% 0.14/5.57 sQ155_spl <=> (sP25_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1793,plain,(
% 0.14/5.57 ~sQ151_spl|sQ155_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f465,f1758,f1790])).
% 0.14/5.57 fof(f1798,definition,(
% 0.14/5.57 sQ156_spl <=> (sP26_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1801,plain,(
% 0.14/5.57 ~sQ152_spl|sQ156_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f473,f1766,f1798])).
% 0.14/5.57 fof(f1806,definition,(
% 0.14/5.57 sQ157_spl <=> (sP27_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1809,plain,(
% 0.14/5.57 ~sQ153_spl|sQ157_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f481,f1774,f1806])).
% 0.14/5.57 fof(f1822,definition,(
% 0.14/5.57 sQ159_spl <=> (sP29_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1825,plain,(
% 0.14/5.57 ~sQ155_spl|sQ159_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f497,f1790,f1822])).
% 0.14/5.57 fof(f1830,definition,(
% 0.14/5.57 sQ160_spl <=> (sP30_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1833,plain,(
% 0.14/5.57 ~sQ156_spl|sQ160_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f505,f1798,f1830])).
% 0.14/5.57 fof(f1838,definition,(
% 0.14/5.57 sQ161_spl <=> (sP31_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1841,plain,(
% 0.14/5.57 ~sQ157_spl|sQ161_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f513,f1806,f1838])).
% 0.14/5.57 fof(f1854,definition,(
% 0.14/5.57 sQ163_spl <=> (sP33_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1857,plain,(
% 0.14/5.57 ~sQ159_spl|sQ163_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f529,f1822,f1854])).
% 0.14/5.57 fof(f1862,definition,(
% 0.14/5.57 sQ164_spl <=> (sP34_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1865,plain,(
% 0.14/5.57 ~sQ160_spl|sQ164_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f537,f1830,f1862])).
% 0.14/5.57 fof(f1870,definition,(
% 0.14/5.57 sQ165_spl <=> (sP35_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1873,plain,(
% 0.14/5.57 ~sQ161_spl|sQ165_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f545,f1838,f1870])).
% 0.14/5.57 fof(f1886,definition,(
% 0.14/5.57 sQ167_spl <=> (sP37_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1889,plain,(
% 0.14/5.57 ~sQ163_spl|sQ167_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f561,f1854,f1886])).
% 0.14/5.57 fof(f1894,definition,(
% 0.14/5.57 sQ168_spl <=> (sP38_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1897,plain,(
% 0.14/5.57 ~sQ164_spl|sQ168_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f569,f1862,f1894])).
% 0.14/5.57 fof(f1902,definition,(
% 0.14/5.57 sQ169_spl <=> (sP39_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1905,plain,(
% 0.14/5.57 ~sQ165_spl|sQ169_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f577,f1870,f1902])).
% 0.14/5.57 fof(f1918,definition,(
% 0.14/5.57 sQ171_spl <=> (sP41_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1921,plain,(
% 0.14/5.57 ~sQ167_spl|sQ171_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f593,f1886,f1918])).
% 0.14/5.57 fof(f1926,definition,(
% 0.14/5.57 sQ172_spl <=> (sP42_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1929,plain,(
% 0.14/5.57 ~sQ168_spl|sQ172_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f601,f1894,f1926])).
% 0.14/5.57 fof(f1934,definition,(
% 0.14/5.57 sQ173_spl <=> (sP43_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1937,plain,(
% 0.14/5.57 ~sQ169_spl|sQ173_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f609,f1902,f1934])).
% 0.14/5.57 fof(f1950,definition,(
% 0.14/5.57 sQ175_spl <=> (sP45_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1953,plain,(
% 0.14/5.57 ~sQ171_spl|sQ175_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f625,f1918,f1950])).
% 0.14/5.57 fof(f1958,definition,(
% 0.14/5.57 sQ176_spl <=> (sP46_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1961,plain,(
% 0.14/5.57 ~sQ172_spl|sQ176_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f633,f1926,f1958])).
% 0.14/5.57 fof(f1966,definition,(
% 0.14/5.57 sQ177_spl <=> (sP47_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1969,plain,(
% 0.14/5.57 ~sQ173_spl|sQ177_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f641,f1934,f1966])).
% 0.14/5.57 fof(f1982,definition,(
% 0.14/5.57 sQ179_spl <=> (sP49_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1985,plain,(
% 0.14/5.57 ~sQ175_spl|sQ179_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f657,f1950,f1982])).
% 0.14/5.57 fof(f1990,definition,(
% 0.14/5.57 sQ180_spl <=> (sP50_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f1993,plain,(
% 0.14/5.57 ~sQ176_spl|sQ180_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f665,f1958,f1990])).
% 0.14/5.57 fof(f1998,definition,(
% 0.14/5.57 sQ181_spl <=> (sP51_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2001,plain,(
% 0.14/5.57 ~sQ177_spl|sQ181_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f673,f1966,f1998])).
% 0.14/5.57 fof(f2002,plain,(
% 0.14/5.57 ~sQ177_spl|~sQ66_spl|sQ58_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f674,f1966,f1277,f1251])).
% 0.14/5.57 fof(f2014,definition,(
% 0.14/5.57 sQ183_spl <=> (sP53_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2017,plain,(
% 0.14/5.57 ~sQ179_spl|sQ183_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f689,f1982,f2014])).
% 0.14/5.57 fof(f2022,definition,(
% 0.14/5.57 sQ184_spl <=> (sP54_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2025,plain,(
% 0.14/5.57 ~sQ180_spl|sQ184_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f697,f1990,f2022])).
% 0.14/5.57 fof(f2030,definition,(
% 0.14/5.57 sQ185_spl <=> (sP55_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2033,plain,(
% 0.14/5.57 ~sQ181_spl|sQ185_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f705,f1998,f2030])).
% 0.14/5.57 fof(f2046,definition,(
% 0.14/5.57 sQ187_spl <=> (sP57_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2049,plain,(
% 0.14/5.57 ~sQ183_spl|sQ187_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f721,f2014,f2046])).
% 0.14/5.57 fof(f2054,definition,(
% 0.14/5.57 sQ188_spl <=> (sP58_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2057,plain,(
% 0.14/5.57 ~sQ184_spl|sQ188_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f729,f2022,f2054])).
% 0.14/5.57 fof(f2062,definition,(
% 0.14/5.57 sQ189_spl <=> (sP59_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2065,plain,(
% 0.14/5.57 ~sQ185_spl|sQ189_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f737,f2030,f2062])).
% 0.14/5.57 fof(f2078,definition,(
% 0.14/5.57 sQ191_spl <=> (sP61_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2081,plain,(
% 0.14/5.57 ~sQ187_spl|sQ191_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f753,f2046,f2078])).
% 0.14/5.57 fof(f2086,definition,(
% 0.14/5.57 sQ192_spl <=> (sP62_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2089,plain,(
% 0.14/5.57 ~sQ188_spl|sQ192_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f761,f2054,f2086])).
% 0.14/5.57 fof(f2094,definition,(
% 0.14/5.57 sQ193_spl <=> (sP63_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2097,plain,(
% 0.14/5.57 ~sQ189_spl|sQ193_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f769,f2062,f2094])).
% 0.14/5.57 fof(f2110,definition,(
% 0.14/5.57 sQ195_spl <=> (sP65_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2113,plain,(
% 0.14/5.57 ~sQ191_spl|sQ195_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f785,f2078,f2110])).
% 0.14/5.57 fof(f2118,definition,(
% 0.14/5.57 sQ196_spl <=> (sP66_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2121,plain,(
% 0.14/5.57 ~sQ192_spl|sQ196_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f793,f2086,f2118])).
% 0.14/5.57 fof(f2126,definition,(
% 0.14/5.57 sQ197_spl <=> (sP67_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2129,plain,(
% 0.14/5.57 ~sQ193_spl|sQ197_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f801,f2094,f2126])).
% 0.14/5.57 fof(f2146,plain,(
% 0.14/5.57 ~sQ195_spl|~sQ38_spl|sQ42_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f818,f2110,f1187,f1200])).
% 0.14/5.57 fof(f2150,definition,(
% 0.14/5.57 sQ200_spl <=> (sP70_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2153,plain,(
% 0.14/5.57 ~sQ196_spl|sQ200_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f825,f2118,f2150])).
% 0.14/5.57 fof(f2158,definition,(
% 0.14/5.57 sQ201_spl <=> (sP71_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2161,plain,(
% 0.14/5.57 ~sQ197_spl|sQ201_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f833,f2126,f2158])).
% 0.14/5.57 fof(f2182,definition,(
% 0.14/5.57 sQ204_spl <=> (sP74_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2185,plain,(
% 0.14/5.57 ~sQ200_spl|sQ204_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f857,f2150,f2182])).
% 0.14/5.57 fof(f2190,definition,(
% 0.14/5.57 sQ205_spl <=> (sP75_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2193,plain,(
% 0.14/5.57 ~sQ201_spl|sQ205_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f865,f2158,f2190])).
% 0.14/5.57 fof(f2214,definition,(
% 0.14/5.57 sQ208_spl <=> (sP78_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2217,plain,(
% 0.14/5.57 ~sQ204_spl|sQ208_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f889,f2182,f2214])).
% 0.14/5.57 fof(f2222,definition,(
% 0.14/5.57 sQ209_spl <=> (sP79_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2225,plain,(
% 0.14/5.57 ~sQ205_spl|sQ209_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f897,f2190,f2222])).
% 0.14/5.57 fof(f2251,plain,(
% 0.14/5.57 ~sQ208_spl|~sQ30_spl|~sQ125_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f923,f2214,f1162,f1466])).
% 0.14/5.57 fof(f2254,definition,(
% 0.14/5.57 sQ213_spl <=> (sP83_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2257,plain,(
% 0.14/5.57 ~sQ209_spl|sQ213_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f929,f2222,f2254])).
% 0.14/5.57 fof(f2286,definition,(
% 0.14/5.57 sQ217_spl <=> (sP87_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2289,plain,(
% 0.14/5.57 ~sQ213_spl|sQ217_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f961,f2254,f2286])).
% 0.14/5.57 fof(f2290,plain,(
% 0.14/5.57 ~sQ213_spl|~sQ21_spl|sQ9_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f962,f2254,f1133,f1094])).
% 0.14/5.57 fof(f2318,definition,(
% 0.14/5.57 sQ221_spl <=> (sP91_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2321,plain,(
% 0.14/5.57 ~sQ217_spl|sQ221_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f993,f2286,f2318])).
% 0.14/5.57 fof(f2322,plain,(
% 0.14/5.57 ~sQ217_spl|~sQ16_spl|sQ8_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f994,f2286,f1117,f1091])).
% 0.14/5.57 fof(f2350,definition,(
% 0.14/5.57 sQ224_spl <=> (sP94_prd)),
% 0.14/5.57 introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition])).
% 0.14/5.57 fof(f2353,plain,(
% 0.14/5.57 ~sQ221_spl|sQ224_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f1026,f2318,f2350])).
% 0.14/5.57 fof(f2374,plain,(
% 0.14/5.57 ~sQ224_spl|~sQ1_spl|sQ5_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f1049,f2350,f1069,f1082])).
% 0.14/5.57 fof(f2391,plain,(
% 0.14/5.57 op(e4,e2)=e4|~sQ127_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f1473,f43])).
% 0.14/5.57 fof(f2412,plain,(
% 0.14/5.57 e0=op(op(e4,e2),e1)),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f206,f205])).
% 0.14/5.57 fof(f2413,plain,(
% 0.14/5.57 ~e1=op(e4,e4)),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f206,f193])).
% 0.14/5.57 fof(f2414,plain,(
% 0.14/5.57 ~e1=op(e4,e3)),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f206,f192])).
% 0.14/5.57 fof(f2418,plain,(
% 0.14/5.57 ~op(e2,e2)=e1),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f206,f123])).
% 0.14/5.57 fof(f2420,plain,(
% 0.14/5.57 ~op(e0,e2)=e1),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f206,f118])).
% 0.14/5.57 fof(f2421,plain,(
% 0.14/5.57 e0=op(e1,e1)),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f206,f2412])).
% 0.14/5.57 fof(f2422,plain,(
% 0.14/5.57 ~op(e2,e3)=e3),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f207,f174])).
% 0.14/5.57 fof(f2423,plain,(
% 0.14/5.57 ~op(e2,e2)=e3),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f207,f173])).
% 0.14/5.57 fof(f2424,plain,(
% 0.14/5.57 ~op(e2,e1)=e3),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f207,f171])).
% 0.14/5.57 fof(f2426,plain,(
% 0.14/5.57 ~e3=op(e4,e4)),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f207,f143])).
% 0.14/5.57 fof(f2428,plain,(
% 0.14/5.57 ~op(e1,e4)=e3),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f207,f139])).
% 0.14/5.57 fof(f2458,plain,(
% 0.14/5.57 e1=e3|~sQ113_spl),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f206,f1428])).
% 0.14/5.57 fof(f2459,plain,(
% 0.14/5.57 $false|~sQ113_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f2458,f200])).
% 0.14/5.57 fof(f2460,plain,(
% 0.14/5.57 ~sQ113_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2459])).
% 0.14/5.57 fof(f2477,plain,(
% 0.14/5.57 e1=e2|~sQ112_spl),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f206,f1425])).
% 0.14/5.57 fof(f2478,plain,(
% 0.14/5.57 $false|~sQ112_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f2477,f199])).
% 0.14/5.57 fof(f2479,plain,(
% 0.14/5.57 ~sQ112_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2478])).
% 0.14/5.57 fof(f2480,plain,(
% 0.14/5.57 e1=e4|~sQ127_spl),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f206,f2391])).
% 0.14/5.57 fof(f2481,plain,(
% 0.14/5.57 $false|~sQ127_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f2480,f201])).
% 0.14/5.57 fof(f2482,plain,(
% 0.14/5.57 ~sQ127_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2481])).
% 0.14/5.57 fof(f2486,plain,(
% 0.14/5.57 e1=e4|~sQ114_spl),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f206,f1431])).
% 0.14/5.57 fof(f2487,plain,(
% 0.14/5.57 $false|~sQ114_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f2486,f201])).
% 0.14/5.57 fof(f2488,plain,(
% 0.14/5.57 ~sQ114_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2487])).
% 0.14/5.57 fof(f2530,plain,(
% 0.14/5.57 ~op(e0,e1)=e3|~sQ18_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f1124,f150])).
% 0.14/5.57 fof(f2536,plain,(
% 0.14/5.57 ~sQ8_spl|~sQ18_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f2530,f1091,f1123])).
% 0.14/5.57 fof(f2574,plain,(
% 0.14/5.57 ~op(e0,e1)=e1|~sQ56_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f1246,f106])).
% 0.14/5.57 fof(f2576,plain,(
% 0.14/5.57 ~op(e0,e2)=e2|~sQ62_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f1265,f116])).
% 0.14/5.57 fof(f2627,plain,(
% 0.14/5.57 ~e3=e3|~sQ68_spl),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f1284,f2422])).
% 0.14/5.57 fof(f2628,plain,(
% 0.14/5.57 $false|~sQ68_spl),
% 0.14/5.57 inference(trivial_equality_resolution,[status(thm)],[f2627])).
% 0.14/5.57 fof(f2629,plain,(
% 0.14/5.57 ~sQ68_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2628])).
% 0.14/5.57 fof(f2655,plain,(
% 0.14/5.57 op(e4,e2)=e2|~sQ129_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f1479,f38])).
% 0.14/5.57 fof(f2665,plain,(
% 0.14/5.57 sQ112_spl|~sQ129_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f2655,f1424,f1478])).
% 0.14/5.57 fof(f2708,plain,(
% 0.14/5.57 $false|~sQ61_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f1262,f2418])).
% 0.14/5.57 fof(f2709,plain,(
% 0.14/5.57 ~sQ61_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2708])).
% 0.14/5.57 fof(f2710,plain,(
% 0.14/5.57 $false|~sQ63_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f1268,f2423])).
% 0.14/5.57 fof(f2711,plain,(
% 0.14/5.57 ~sQ63_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2710])).
% 0.14/5.57 fof(f2733,plain,(
% 0.14/5.57 e3=e2|~sQ72_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f1297,f207])).
% 0.14/5.57 fof(f2734,plain,(
% 0.14/5.57 $false|~sQ72_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f2733,f202])).
% 0.14/5.57 fof(f2735,plain,(
% 0.14/5.57 ~sQ72_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2734])).
% 0.14/5.57 fof(f2736,plain,(
% 0.14/5.57 ~e0=op(e1,e3)),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f2421,f160])).
% 0.14/5.57 fof(f2750,plain,(
% 0.14/5.57 $false|~sQ40_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f1195,f2736])).
% 0.14/5.57 fof(f2751,plain,(
% 0.14/5.57 ~sQ40_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2750])).
% 0.14/5.57 fof(f2753,plain,(
% 0.14/5.57 e0=e3|~sQ33_spl),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f2421,f1172])).
% 0.14/5.57 fof(f2754,plain,(
% 0.14/5.57 $false|~sQ33_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f2753,f197])).
% 0.14/5.57 fof(f2755,plain,(
% 0.14/5.57 ~sQ33_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2754])).
% 0.14/5.57 fof(f2756,plain,(
% 0.14/5.57 e0=e1|~sQ31_spl),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f2421,f1166])).
% 0.14/5.57 fof(f2757,plain,(
% 0.14/5.57 $false|~sQ31_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f2756,f195])).
% 0.14/5.57 fof(f2758,plain,(
% 0.14/5.57 ~sQ31_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2757])).
% 0.14/5.57 fof(f2766,plain,(
% 0.14/5.57 ~e0=op(e2,e1)),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f2421,f109])).
% 0.14/5.57 fof(f2781,plain,(
% 0.14/5.57 ~op(e0,e1)=e0),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f2421,f105])).
% 0.14/5.57 fof(f2783,plain,(
% 0.14/5.57 $false|~sQ11_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f1102,f2420])).
% 0.14/5.57 fof(f2784,plain,(
% 0.14/5.57 ~sQ11_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2783])).
% 0.14/5.57 fof(f2807,plain,(
% 0.14/5.57 ~e0=e0|sQ30_spl),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f2421,f1164])).
% 0.14/5.57 fof(f2808,plain,(
% 0.14/5.57 $false|sQ30_spl),
% 0.14/5.57 inference(trivial_equality_resolution,[status(thm)],[f2807])).
% 0.14/5.57 fof(f2809,plain,(
% 0.14/5.57 sQ30_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2808])).
% 0.14/5.57 fof(f2823,plain,(
% 0.14/5.57 ~e0=op(e2,e3)|~sQ60_spl),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f1259,f172])).
% 0.14/5.57 fof(f2828,plain,(
% 0.14/5.57 op(e0,e2)=e2|~sQ125_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f1467,f38])).
% 0.14/5.57 fof(f2834,plain,(
% 0.14/5.57 sQ12_spl|~sQ125_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f2828,f1104,f1466])).
% 0.14/5.57 fof(f2835,plain,(
% 0.14/5.57 ~e3=op(e1,e3)|~sQ125_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f2840,f125])).
% 0.14/5.57 fof(f2837,plain,(
% 0.14/5.57 ~e3=op(e3,e3)|~sQ125_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f2840,f127])).
% 0.14/5.57 fof(f2838,plain,(
% 0.14/5.57 ~e3=op(e4,e3)|~sQ125_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f2840,f128])).
% 0.14/5.57 fof(f2840,plain,(
% 0.14/5.57 op(e0,e3)=e3|~sQ125_spl),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f1467,f40])).
% 0.14/5.57 fof(f2841,plain,(
% 0.14/5.57 ~sQ93_spl|~sQ125_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f2837,f1363,f1466])).
% 0.14/5.57 fof(f2842,plain,(
% 0.14/5.57 ~sQ118_spl|~sQ125_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f2838,f1443,f1466])).
% 0.14/5.57 fof(f2843,plain,(
% 0.14/5.57 $false|~sQ60_spl|~sQ65_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f1275,f2823])).
% 0.14/5.57 fof(f2844,plain,(
% 0.14/5.57 ~sQ60_spl|~sQ65_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2843])).
% 0.14/5.57 fof(f2853,plain,(
% 0.14/5.57 ~e4=op(e4,e4)|~sQ125_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f2854,f138])).
% 0.14/5.57 fof(f2854,plain,(
% 0.14/5.57 op(e0,e4)=e4|~sQ125_spl),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f1467,f42])).
% 0.14/5.57 fof(f2855,plain,(
% 0.14/5.57 ~sQ124_spl|~sQ125_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f2853,f1462,f1466])).
% 0.14/5.57 fof(f2856,plain,(
% 0.14/5.57 $false|~sQ121_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f1454,f2413])).
% 0.14/5.57 fof(f2857,plain,(
% 0.14/5.57 ~sQ121_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2856])).
% 0.14/5.57 fof(f2870,plain,(
% 0.14/5.57 ~e4=op(e4,e3)|~sQ125_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f2872,f187])).
% 0.14/5.57 fof(f2872,plain,(
% 0.14/5.57 op(e4,e0)=e4|~sQ125_spl),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f1467,f43])).
% 0.14/5.57 fof(f2873,plain,(
% 0.14/5.57 ~sQ119_spl|~sQ125_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f2870,f1446,f1466])).
% 0.14/5.57 fof(f2887,plain,(
% 0.14/5.57 ~e2=op(e2,e3)|~sQ52_spl),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f1233,f167])).
% 0.14/5.57 fof(f2895,plain,(
% 0.14/5.57 ~op(e0,e1)=e4|~sQ125_spl),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f2854,f151])).
% 0.14/5.57 fof(f2912,plain,(
% 0.14/5.57 $false|~sQ5_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f1083,f2781])).
% 0.14/5.57 fof(f2913,plain,(
% 0.14/5.57 ~sQ5_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2912])).
% 0.14/5.57 fof(f2916,plain,(
% 0.14/5.57 $false|~sQ58_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f1252,f2424])).
% 0.14/5.57 fof(f2917,plain,(
% 0.14/5.57 ~sQ58_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2916])).
% 0.14/5.57 fof(f2931,plain,(
% 0.14/5.57 ~e1=op(e1,e3)|~sQ26_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f1150,f157])).
% 0.14/5.57 fof(f2944,plain,(
% 0.14/5.57 ~op(e4,e3)=e0|~sQ120_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f1451,f194])).
% 0.14/5.57 fof(f2947,plain,(
% 0.14/5.57 ~sQ115_spl|~sQ120_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f2944,f1434,f1450])).
% 0.14/5.57 fof(f2959,plain,(
% 0.14/5.57 $false|~sQ48_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f1220,f2428])).
% 0.14/5.57 fof(f2960,plain,(
% 0.14/5.57 ~sQ48_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2959])).
% 0.14/5.57 fof(f2970,plain,(
% 0.14/5.57 ~sQ6_spl|~sQ56_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f2574,f1085,f1245])).
% 0.14/5.57 fof(f2971,plain,(
% 0.14/5.57 ~sQ43_spl|~sQ125_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f2835,f1203,f1466])).
% 0.14/5.57 fof(f2977,plain,(
% 0.14/5.57 ~sQ9_spl|~sQ125_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f2895,f1094,f1466])).
% 0.14/5.57 fof(f2978,plain,(
% 0.14/5.57 $false|~sQ116_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f1438,f2414])).
% 0.14/5.57 fof(f2979,plain,(
% 0.14/5.57 ~sQ116_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2978])).
% 0.14/5.57 fof(f2982,plain,(
% 0.14/5.57 e1=e3|~sQ26_spl|~sQ28_spl),
% 0.14/5.57 inference(forward_demodulation,[status(thm)],[f1150,f1156])).
% 0.14/5.57 fof(f2983,plain,(
% 0.14/5.57 $false|~sQ26_spl|~sQ28_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f2982,f200])).
% 0.14/5.57 fof(f2984,plain,(
% 0.14/5.57 ~sQ26_spl|~sQ28_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f2983])).
% 0.14/5.57 fof(f3017,plain,(
% 0.14/5.57 ~e2=op(e2,e1)|~sQ52_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f1233,f165])).
% 0.14/5.57 fof(f3021,plain,(
% 0.14/5.57 ~sQ57_spl|~sQ52_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f3017,f1248,f1232])).
% 0.14/5.57 fof(f3022,plain,(
% 0.14/5.57 $false|~sQ55_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f1243,f2766])).
% 0.14/5.57 fof(f3023,plain,(
% 0.14/5.57 ~sQ55_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f3022])).
% 0.14/5.57 fof(f3024,plain,(
% 0.14/5.57 ~sQ12_spl|~sQ62_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f2576,f1104,f1264])).
% 0.14/5.57 fof(f3028,plain,(
% 0.14/5.57 ~sQ67_spl|~sQ52_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f2887,f1280,f1232])).
% 0.14/5.57 fof(f3039,plain,(
% 0.14/5.57 $false|~sQ26_spl|~sQ41_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f1198,f2931])).
% 0.14/5.57 fof(f3040,plain,(
% 0.14/5.57 ~sQ26_spl|~sQ41_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f3039])).
% 0.14/5.57 fof(f3051,plain,(
% 0.14/5.57 ~op(e2,e1)=e4|~sQ69_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f1287,f170])).
% 0.14/5.57 fof(f3055,plain,(
% 0.14/5.57 ~sQ59_spl|~sQ69_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f3051,f1254,f1286])).
% 0.14/5.57 fof(f3096,plain,(
% 0.14/5.57 $false|~sQ123_spl),
% 0.14/5.57 inference(forward_subsumption_resolution,[status(thm)],[f1460,f2426])).
% 0.14/5.57 fof(f3097,plain,(
% 0.14/5.57 ~sQ123_spl),
% 0.14/5.57 inference(contradiction_clause,[status(thm)],[f3096])).
% 0.14/5.57 fof(f3142,plain,(
% 0.14/5.57 op(e1,e3)=e1|~sQ128_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f1476,f37])).
% 0.14/5.57 fof(f3151,plain,(
% 0.14/5.57 sQ41_spl|~sQ128_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f3142,f1197,f1475])).
% 0.14/5.57 fof(f3159,plain,(
% 0.14/5.57 ~e2=op(e4,e3)|~sQ42_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f1201,f131])).
% 0.14/5.57 fof(f3162,plain,(
% 0.14/5.57 ~sQ117_spl|~sQ42_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f3159,f1440,f1200])).
% 0.14/5.57 fof(f3182,plain,(
% 0.14/5.57 op(e1,e1)=e1|~sQ126_spl),
% 0.14/5.57 inference(backward_demodulation,[status(thm)],[f1470,f36])).
% 0.14/5.57 fof(f3193,plain,(
% 0.14/5.57 sQ31_spl|~sQ126_spl),
% 0.14/5.57 inference(split_clause,[status(thm)],[f3182,f1165,f1469])).
% 0.14/5.57 fof(f3199,plain,(
% 0.14/5.57 $false),
% 0.14/5.57 inference(sat_refutation,[status(thm)],[f1209,f1257,f1273,f1289,f1449,f1465,f1481,f1484,f1498,f1519,f1537,f1542,f1546,f1554,f1576,f1616,f1628,f1637,f1648,f1658,f1665,f1673,f1681,f1697,f1705,f1713,f1729,f1737,f1745,f1761,f1769,f1777,f1793,f1801,f1809,f1825,f1833,f1841,f1857,f1865,f1873,f1889,f1897,f1905,f1921,f1929,f1937,f1953,f1961,f1969,f1985,f1993,f2001,f2002,f2017,f2025,f2033,f2049,f2057,f2065,f2081,f2089,f2097,f2113,f2121,f2129,f2146,f2153,f2161,f2185,f2193,f2217,f2225,f2251,f2257,f2289,f2290,f2321,f2322,f2353,f2374,f2460,f2479,f2482,f2488,f2536,f2629,f2665,f2709,f2711,f2735,f2751,f2755,f2758,f2784,f2809,f2834,f2841,f2842,f2844,f2855,f2857,f2873,f2913,f2917,f2947,f2960,f2970,f2971,f2977,f2979,f2984,f3021,f3023,f3024,f3028,f3040,f3055,f3097,f3151,f3162,f3193])).
% 0.14/5.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.57 % Elapsed time: 0.201585 seconds
% 0.14/5.57 % CPU time: 1.219347 seconds
% 0.14/5.57 % Total memory used: 147.732 MB
% 0.14/5.57 % Net memory used: 147.169 MB
%------------------------------------------------------------------------------