%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG062+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 : n026.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 0.12s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG062+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n026.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 12:57:24 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.12/0.59 % Refutation found
% 0.12/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.59 fof(f1,axiom,(
% 0.12/0.59 ( ( 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 ) ) ),
% 0.12/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.59 fof(f2,axiom,(
% 0.12/0.59 ( 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 ) ) ),
% 0.12/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.59 fof(f3,axiom,(
% 0.12/0.59 ( ( 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 ) ) ),
% 0.12/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.59 fof(f4,axiom,(
% 0.12/0.59 ( 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) ) ),
% 0.12/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.59 fof(f5,axiom,(
% 0.12/0.59 ( e0 != e1& e0 != e2& e0 != e3& e0 != e4& e1 != e2& e1 != e3& e1 != e4& e2 != e3& e2 != e4& e3 != e4 ) ),
% 0.12/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.59 fof(f6,axiom,(
% 0.12/0.59 ( e0 = op(e1,op(op(e1,e1),op(e1,e1)))& e2 = op(op(e1,e1),op(e1,e1))& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))& e4 = op(e1,e1) ) ),
% 0.12/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.59 fof(f7,conjecture,(
% 0.12/0.59 ~ ( ( op(e0,e0) = e0| op(e1,e1) = e0| op(e2,e2) = e0| op(e3,e3) = e0| op(e4,e4) = e0 )& ( op(e0,e0) = e1| op(e1,e1) = e1| op(e2,e2) = e1| op(e3,e3) = e1| op(e4,e4) = e1 )& ( op(e0,e0) = e2| op(e1,e1) = e2| op(e2,e2) = e2| op(e3,e3) = e2| op(e4,e4) = e2 )& ( op(e0,e0) = e3| op(e1,e1) = e3| op(e2,e2) = e3| op(e3,e3) = e3| op(e4,e4) = e3 )& ( op(e0,e0) = e4| op(e1,e1) = e4| op(e2,e2) = e4| op(e3,e3) = 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 ) ) ) ) ) ),
% 0.12/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.59 fof(f8,negated_conjecture,(
% 0.12/0.59 ~(~ ( ( op(e0,e0) = e0| op(e1,e1) = e0| op(e2,e2) = e0| op(e3,e3) = e0| op(e4,e4) = e0 )& ( op(e0,e0) = e1| op(e1,e1) = e1| op(e2,e2) = e1| op(e3,e3) = e1| op(e4,e4) = e1 )& ( op(e0,e0) = e2| op(e1,e1) = e2| op(e2,e2) = e2| op(e3,e3) = e2| op(e4,e4) = e2 )& ( op(e0,e0) = e3| op(e1,e1) = e3| op(e2,e2) = e3| op(e3,e3) = e3| op(e4,e4) = e3 )& ( op(e0,e0) = e4| op(e1,e1) = e4| op(e2,e2) = e4| op(e3,e3) = 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 ) ) ) ) ) )),
% 0.12/0.59 inference(negated_conjecture,[status(cth)],[f7])).
% 0.12/0.59 fof(f15,plain,(
% 0.12/0.59 op(e1,e1)=e0|op(e1,e1)=e1|op(e1,e1)=e2|op(e1,e1)=e3|op(e1,e1)=e4),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.59 fof(f21,plain,(
% 0.12/0.59 op(e2,e2)=e0|op(e2,e2)=e1|op(e2,e2)=e2|op(e2,e2)=e3|op(e2,e2)=e4),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.59 fof(f28,plain,(
% 0.12/0.59 op(e3,e4)=e0|op(e3,e4)=e1|op(e3,e4)=e2|op(e3,e4)=e3|op(e3,e4)=e4),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.59 fof(f34,plain,(
% 0.12/0.59 op(unit,e0)=e0),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.59 fof(f37,plain,(
% 0.12/0.59 op(e1,unit)=e1),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.59 fof(f38,plain,(
% 0.12/0.59 op(unit,e2)=e2),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.59 fof(f39,plain,(
% 0.12/0.59 op(e2,unit)=e2),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.59 fof(f41,plain,(
% 0.12/0.59 op(e3,unit)=e3),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.59 fof(f42,plain,(
% 0.12/0.59 op(unit,e4)=e4),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.59 fof(f43,plain,(
% 0.12/0.59 op(e4,unit)=e4),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.59 fof(f44,plain,(
% 0.12/0.59 unit=e0|unit=e1|unit=e2|unit=e3|unit=e4),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.59 fof(f52,plain,(
% 0.12/0.59 op(e0,e0)=e3|op(e1,e0)=e3|op(e2,e0)=e3|op(e3,e0)=e3|op(e4,e0)=e3),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.59 fof(f95,plain,(
% 0.12/0.59 ~op(e0,e0)=op(e1,e0)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f97,plain,(
% 0.12/0.59 ~op(e0,e0)=op(e3,e0)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f104,plain,(
% 0.12/0.59 ~op(e3,e0)=op(e4,e0)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f105,plain,(
% 0.12/0.59 ~op(e0,e1)=op(e1,e1)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f111,plain,(
% 0.12/0.59 ~op(e1,e1)=op(e4,e1)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f116,plain,(
% 0.12/0.59 ~op(e0,e2)=op(e2,e2)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f120,plain,(
% 0.12/0.59 ~op(e1,e2)=op(e3,e2)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f121,plain,(
% 0.12/0.59 ~op(e1,e2)=op(e4,e2)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f122,plain,(
% 0.12/0.59 ~op(e2,e2)=op(e3,e2)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f123,plain,(
% 0.12/0.59 ~op(e2,e2)=op(e4,e2)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f137,plain,(
% 0.12/0.59 ~op(e0,e4)=op(e3,e4)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f138,plain,(
% 0.12/0.59 ~op(e0,e4)=op(e4,e4)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f141,plain,(
% 0.12/0.59 ~op(e1,e4)=op(e4,e4)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f144,plain,(
% 0.12/0.59 ~op(e3,e4)=op(e4,e4)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f147,plain,(
% 0.12/0.59 ~op(e0,e0)=op(e0,e3)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f156,plain,(
% 0.12/0.59 ~op(e1,e0)=op(e1,e2)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f158,plain,(
% 0.12/0.59 ~op(e1,e0)=op(e1,e4)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f162,plain,(
% 0.12/0.59 ~op(e1,e2)=op(e1,e3)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f163,plain,(
% 0.12/0.59 ~op(e1,e2)=op(e1,e4)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f172,plain,(
% 0.12/0.59 ~op(e2,e2)=op(e2,e3)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f173,plain,(
% 0.12/0.59 ~op(e2,e2)=op(e2,e4)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f177,plain,(
% 0.12/0.59 ~op(e3,e0)=op(e3,e3)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f184,plain,(
% 0.12/0.59 ~op(e3,e3)=op(e3,e4)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f186,plain,(
% 0.12/0.59 ~op(e4,e0)=op(e4,e2)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f191,plain,(
% 0.12/0.59 ~op(e4,e1)=op(e4,e4)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f192,plain,(
% 0.12/0.59 ~op(e4,e2)=op(e4,e3)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f193,plain,(
% 0.12/0.59 ~op(e4,e2)=op(e4,e4)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.59 fof(f196,plain,(
% 0.12/0.59 ~e0=e2),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f197,plain,(
% 0.12/0.59 ~e0=e3),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f198,plain,(
% 0.12/0.59 ~e0=e4),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f199,plain,(
% 0.12/0.59 ~e1=e2),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f200,plain,(
% 0.12/0.59 ~e1=e3),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f201,plain,(
% 0.12/0.59 ~e1=e4),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f202,plain,(
% 0.12/0.59 ~e2=e3),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f203,plain,(
% 0.12/0.59 ~e2=e4),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f204,plain,(
% 0.12/0.59 ~e3=e4),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.59 fof(f205,plain,(
% 0.12/0.59 e0=op(e1,op(op(e1,e1),op(e1,e1)))),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.59 fof(f206,plain,(
% 0.12/0.59 e2=op(op(e1,e1),op(e1,e1))),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.59 fof(f207,plain,(
% 0.12/0.59 e3=op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.59 fof(f208,plain,(
% 0.12/0.59 e4=op(e1,e1)),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.59 fof(f209,definition,(
% 0.12/0.59 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))))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.12/0.59 fof(f210,plain,(
% 0.12/0.59 ((((((((op(e0,e0)=e0|op(e1,e1)=e0)|op(e2,e2)=e0)|op(e3,e3)=e0)|op(e4,e4)=e0)&((((op(e0,e0)=e1|op(e1,e1)=e1)|op(e2,e2)=e1)|op(e3,e3)=e1)|op(e4,e4)=e1))&((((op(e0,e0)=e2|op(e1,e1)=e2)|op(e2,e2)=e2)|op(e3,e3)=e2)|op(e4,e4)=e2))&((((op(e0,e0)=e3|op(e1,e1)=e3)|op(e2,e2)=e3)|op(e3,e3)=e3)|op(e4,e4)=e3))&((((op(e0,e0)=e4|op(e1,e1)=e4)|op(e2,e2)=e4)|op(e3,e3)=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))))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f8,f209])).
% 0.12/0.59 fof(f211,plain,(
% 0.12/0.59 op(e0,e0)=e0|op(e1,e1)=e0|op(e2,e2)=e0|op(e3,e3)=e0|op(e4,e4)=e0),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f210])).
% 0.12/0.59 fof(f212,plain,(
% 0.12/0.59 op(e0,e0)=e1|op(e1,e1)=e1|op(e2,e2)=e1|op(e3,e3)=e1|op(e4,e4)=e1),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f210])).
% 0.12/0.59 fof(f228,plain,(
% 0.12/0.59 sP0_prd|~op(e1,e1)=e4|op(e1,e4)=e1),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f210])).
% 0.12/0.59 fof(f266,definition,(
% 0.12/0.59 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))))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.12/0.59 fof(f267,plain,(
% 0.12/0.59 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))))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f209,f266])).
% 0.12/0.59 fof(f268,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.12/0.59 fof(f269,plain,(
% 0.12/0.59 sP0_prd<=>(sP1_prd|(sP2_prd&(~op(e4,e4)=e3|(op(e4,e3)=e4&~e3=unit))))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f267,f268])).
% 0.12/0.59 fof(f270,plain,(
% 0.12/0.59 (~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)))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f269])).
% 0.12/0.59 fof(f271,plain,(
% 0.12/0.59 ~sP0_prd|sP1_prd|sP2_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f270])).
% 0.12/0.59 fof(f277,definition,(
% 0.12/0.59 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))))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.12/0.59 fof(f278,plain,(
% 0.12/0.59 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))))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f266,f277])).
% 0.12/0.59 fof(f279,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 0.12/0.59 fof(f280,plain,(
% 0.12/0.59 sP1_prd<=>(sP3_prd|(sP4_prd&(~op(e4,e4)=e2|(op(e4,e2)=e4&~e2=unit))))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f278,f279])).
% 0.12/0.59 fof(f281,plain,(
% 0.12/0.59 (~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)))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f280])).
% 0.12/0.59 fof(f283,plain,(
% 0.12/0.59 ~sP1_prd|sP3_prd|~op(e4,e4)=e2|op(e4,e2)=e4),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f281])).
% 0.12/0.59 fof(f288,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 0.12/0.59 fof(f289,plain,(
% 0.12/0.59 sP2_prd<=>(sP5_prd&(~op(e4,e3)=e3|(op(e4,e3)=e3&~e3=unit)))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f268,f288])).
% 0.12/0.59 fof(f290,plain,(
% 0.12/0.59 (~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))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f289])).
% 0.12/0.59 fof(f291,plain,(
% 0.12/0.59 ~sP2_prd|sP5_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f290])).
% 0.12/0.59 fof(f296,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP6_prd])],[])).
% 0.12/0.59 fof(f297,plain,(
% 0.12/0.59 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))))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f277,f296])).
% 0.12/0.59 fof(f298,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 0.12/0.59 fof(f299,plain,(
% 0.12/0.59 sP3_prd<=>(sP6_prd|(sP7_prd&(~op(e4,e4)=e1|(op(e4,e1)=e4&~e1=unit))))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f297,f298])).
% 0.12/0.59 fof(f300,plain,(
% 0.12/0.59 (~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)))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f299])).
% 0.12/0.59 fof(f301,plain,(
% 0.12/0.59 ~sP3_prd|sP6_prd|sP7_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f300])).
% 0.12/0.59 fof(f315,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 0.12/0.59 fof(f316,plain,(
% 0.12/0.59 sP5_prd<=>(sP9_prd&(~op(e4,e2)=e3|(op(e4,e3)=e2&~e3=unit)))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f288,f315])).
% 0.12/0.59 fof(f317,plain,(
% 0.12/0.59 (~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))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f316])).
% 0.12/0.59 fof(f318,plain,(
% 0.12/0.59 ~sP5_prd|sP9_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f317])).
% 0.12/0.59 fof(f323,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP10_prd])],[])).
% 0.12/0.59 fof(f324,plain,(
% 0.12/0.59 sP6_prd<=>(sP10_prd&(~op(e4,e4)=e0|(op(e4,e0)=e4&~e0=unit)))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f296,f323])).
% 0.12/0.59 fof(f325,plain,(
% 0.12/0.59 (~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))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f324])).
% 0.12/0.59 fof(f326,plain,(
% 0.12/0.59 ~sP6_prd|sP10_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f325])).
% 0.12/0.59 fof(f331,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP11_prd])],[])).
% 0.12/0.59 fof(f332,plain,(
% 0.12/0.59 sP7_prd<=>(sP11_prd&(~op(e4,e3)=e1|(op(e4,e1)=e3&~e1=unit)))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f298,f331])).
% 0.12/0.59 fof(f333,plain,(
% 0.12/0.59 (~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))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f332])).
% 0.12/0.59 fof(f334,plain,(
% 0.12/0.59 ~sP7_prd|sP11_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f333])).
% 0.12/0.59 fof(f347,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP13_prd])],[])).
% 0.12/0.59 fof(f348,plain,(
% 0.12/0.59 sP9_prd<=>(sP13_prd&(~op(e4,e1)=e3|(op(e4,e3)=e1&~e3=unit)))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f315,f347])).
% 0.12/0.59 fof(f349,plain,(
% 0.12/0.59 (~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))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f348])).
% 0.12/0.59 fof(f350,plain,(
% 0.12/0.59 ~sP9_prd|sP13_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f349])).
% 0.12/0.59 fof(f355,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP14_prd])],[])).
% 0.12/0.59 fof(f356,plain,(
% 0.12/0.59 sP10_prd<=>(sP14_prd&(~op(e4,e3)=e0|(op(e4,e0)=e3&~e0=unit)))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f323,f355])).
% 0.12/0.59 fof(f357,plain,(
% 0.12/0.59 (~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))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f356])).
% 0.12/0.59 fof(f358,plain,(
% 0.12/0.59 ~sP10_prd|sP14_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f357])).
% 0.12/0.59 fof(f363,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP15_prd])],[])).
% 0.12/0.59 fof(f364,plain,(
% 0.12/0.59 sP11_prd<=>(sP15_prd&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit)))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f331,f363])).
% 0.12/0.59 fof(f365,plain,(
% 0.12/0.59 (~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))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f364])).
% 0.12/0.59 fof(f366,plain,(
% 0.12/0.59 ~sP11_prd|sP15_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f365])).
% 0.12/0.59 fof(f379,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP17_prd])],[])).
% 0.12/0.59 fof(f380,plain,(
% 0.12/0.59 sP13_prd<=>(sP17_prd&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit)))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f347,f379])).
% 0.12/0.59 fof(f381,plain,(
% 0.12/0.59 (~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))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f380])).
% 0.12/0.59 fof(f382,plain,(
% 0.12/0.59 ~sP13_prd|sP17_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f381])).
% 0.12/0.59 fof(f387,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP18_prd])],[])).
% 0.12/0.59 fof(f388,plain,(
% 0.12/0.59 sP14_prd<=>(sP18_prd&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit)))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f355,f387])).
% 0.12/0.59 fof(f389,plain,(
% 0.12/0.59 (~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))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f388])).
% 0.12/0.59 fof(f390,plain,(
% 0.12/0.59 ~sP14_prd|sP18_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f389])).
% 0.12/0.59 fof(f395,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP19_prd])],[])).
% 0.12/0.59 fof(f396,plain,(
% 0.12/0.59 sP15_prd<=>(sP19_prd&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f363,f395])).
% 0.12/0.59 fof(f397,plain,(
% 0.12/0.59 (~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))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f396])).
% 0.12/0.59 fof(f398,plain,(
% 0.12/0.59 ~sP15_prd|sP19_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f397])).
% 0.12/0.59 fof(f411,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP21_prd])],[])).
% 0.12/0.59 fof(f412,plain,(
% 0.12/0.59 sP17_prd<=>(sP21_prd&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f379,f411])).
% 0.12/0.59 fof(f413,plain,(
% 0.12/0.59 (~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))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f412])).
% 0.12/0.59 fof(f414,plain,(
% 0.12/0.59 ~sP17_prd|sP21_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f413])).
% 0.12/0.59 fof(f415,plain,(
% 0.12/0.59 ~sP17_prd|~op(e3,e4)=e3|op(e3,e3)=e4),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f413])).
% 0.12/0.59 fof(f419,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP22_prd])],[])).
% 0.12/0.59 fof(f420,plain,(
% 0.12/0.59 sP18_prd<=>(sP22_prd&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f387,f419])).
% 0.12/0.59 fof(f421,plain,(
% 0.12/0.59 (~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))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f420])).
% 0.12/0.59 fof(f422,plain,(
% 0.12/0.59 ~sP18_prd|sP22_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f421])).
% 0.12/0.59 fof(f427,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP23_prd])],[])).
% 0.12/0.59 fof(f428,plain,(
% 0.12/0.59 sP19_prd<=>(sP23_prd&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f395,f427])).
% 0.12/0.59 fof(f429,plain,(
% 0.12/0.59 (~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))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f428])).
% 0.12/0.59 fof(f430,plain,(
% 0.12/0.59 ~sP19_prd|sP23_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f429])).
% 0.12/0.59 fof(f443,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP25_prd])],[])).
% 0.12/0.59 fof(f444,plain,(
% 0.12/0.59 sP21_prd<=>(sP25_prd&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f411,f443])).
% 0.12/0.59 fof(f445,plain,(
% 0.12/0.59 (~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))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f444])).
% 0.12/0.59 fof(f446,plain,(
% 0.12/0.59 ~sP21_prd|sP25_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f445])).
% 0.12/0.59 fof(f451,definition,(
% 0.12/0.59 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)))),
% 0.12/0.59 introduced(definition,[new_symbols(definition,[sP26_prd])],[])).
% 0.12/0.59 fof(f452,plain,(
% 0.12/0.59 sP22_prd<=>(sP26_prd&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))),
% 0.12/0.59 inference(formula_renaming,[status(thm)],[f419,f451])).
% 0.12/0.59 fof(f453,plain,(
% 0.12/0.59 (~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))))),
% 0.12/0.59 inference(NNF_transformation,[status(thm)],[f452])).
% 0.12/0.59 fof(f454,plain,(
% 0.12/0.59 ~sP22_prd|sP26_prd),
% 0.12/0.59 inference(cnf_transformation,[status(thm)],[f453])).
% 0.12/0.60 fof(f459,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP27_prd])],[])).
% 0.12/0.60 fof(f460,plain,(
% 0.12/0.60 sP23_prd<=>(sP27_prd&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f427,f459])).
% 0.12/0.60 fof(f461,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f460])).
% 0.12/0.60 fof(f462,plain,(
% 0.12/0.60 ~sP23_prd|sP27_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f461])).
% 0.12/0.60 fof(f475,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP29_prd])],[])).
% 0.12/0.60 fof(f476,plain,(
% 0.12/0.60 sP25_prd<=>(sP29_prd&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f443,f475])).
% 0.12/0.60 fof(f477,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f476])).
% 0.12/0.60 fof(f478,plain,(
% 0.12/0.60 ~sP25_prd|sP29_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f477])).
% 0.12/0.60 fof(f483,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP30_prd])],[])).
% 0.12/0.60 fof(f484,plain,(
% 0.12/0.60 sP26_prd<=>(sP30_prd&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f451,f483])).
% 0.12/0.60 fof(f485,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f484])).
% 0.12/0.60 fof(f486,plain,(
% 0.12/0.60 ~sP26_prd|sP30_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f485])).
% 0.12/0.60 fof(f491,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP31_prd])],[])).
% 0.12/0.60 fof(f492,plain,(
% 0.12/0.60 sP27_prd<=>(sP31_prd&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f459,f491])).
% 0.12/0.60 fof(f493,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f492])).
% 0.12/0.60 fof(f494,plain,(
% 0.12/0.60 ~sP27_prd|sP31_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f493])).
% 0.12/0.60 fof(f507,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP33_prd])],[])).
% 0.12/0.60 fof(f508,plain,(
% 0.12/0.60 sP29_prd<=>(sP33_prd&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f475,f507])).
% 0.12/0.60 fof(f509,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f508])).
% 0.12/0.60 fof(f510,plain,(
% 0.12/0.60 ~sP29_prd|sP33_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f509])).
% 0.12/0.60 fof(f515,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP34_prd])],[])).
% 0.12/0.60 fof(f516,plain,(
% 0.12/0.60 sP30_prd<=>(sP34_prd&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f483,f515])).
% 0.12/0.60 fof(f517,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f516])).
% 0.12/0.60 fof(f518,plain,(
% 0.12/0.60 ~sP30_prd|sP34_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f517])).
% 0.12/0.60 fof(f523,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP35_prd])],[])).
% 0.12/0.60 fof(f524,plain,(
% 0.12/0.60 sP31_prd<=>(sP35_prd&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f491,f523])).
% 0.12/0.60 fof(f525,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f524])).
% 0.12/0.60 fof(f526,plain,(
% 0.12/0.60 ~sP31_prd|sP35_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f525])).
% 0.12/0.60 fof(f539,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP37_prd])],[])).
% 0.12/0.60 fof(f540,plain,(
% 0.12/0.60 sP33_prd<=>(sP37_prd&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f507,f539])).
% 0.12/0.60 fof(f541,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f540])).
% 0.12/0.60 fof(f542,plain,(
% 0.12/0.60 ~sP33_prd|sP37_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f541])).
% 0.12/0.60 fof(f543,plain,(
% 0.12/0.60 ~sP33_prd|~op(e3,e0)=e3|op(e3,e3)=e0),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f541])).
% 0.12/0.60 fof(f547,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP38_prd])],[])).
% 0.12/0.60 fof(f548,plain,(
% 0.12/0.60 sP34_prd<=>(sP38_prd&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f515,f547])).
% 0.12/0.60 fof(f549,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f548])).
% 0.12/0.60 fof(f550,plain,(
% 0.12/0.60 ~sP34_prd|sP38_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f549])).
% 0.12/0.60 fof(f553,plain,(
% 0.12/0.60 sP34_prd|~sP38_prd|op(e3,e2)=e0),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f549])).
% 0.12/0.60 fof(f555,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP39_prd])],[])).
% 0.12/0.60 fof(f556,plain,(
% 0.12/0.60 sP35_prd<=>(sP39_prd&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f523,f555])).
% 0.12/0.60 fof(f557,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f556])).
% 0.12/0.60 fof(f558,plain,(
% 0.12/0.60 ~sP35_prd|sP39_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f557])).
% 0.12/0.60 fof(f571,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP41_prd])],[])).
% 0.12/0.60 fof(f572,plain,(
% 0.12/0.60 sP37_prd<=>(sP41_prd&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f539,f571])).
% 0.12/0.60 fof(f573,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f572])).
% 0.12/0.60 fof(f574,plain,(
% 0.12/0.60 ~sP37_prd|sP41_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f573])).
% 0.12/0.60 fof(f579,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP42_prd])],[])).
% 0.12/0.60 fof(f580,plain,(
% 0.12/0.60 sP38_prd<=>(sP42_prd&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f547,f579])).
% 0.12/0.60 fof(f581,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f580])).
% 0.12/0.60 fof(f582,plain,(
% 0.12/0.60 ~sP38_prd|sP42_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f581])).
% 0.12/0.60 fof(f587,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP43_prd])],[])).
% 0.12/0.60 fof(f588,plain,(
% 0.12/0.60 sP39_prd<=>(sP43_prd&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f555,f587])).
% 0.12/0.60 fof(f589,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f588])).
% 0.12/0.60 fof(f590,plain,(
% 0.12/0.60 ~sP39_prd|sP43_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f589])).
% 0.12/0.60 fof(f603,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP45_prd])],[])).
% 0.12/0.60 fof(f604,plain,(
% 0.12/0.60 sP41_prd<=>(sP45_prd&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f571,f603])).
% 0.12/0.60 fof(f605,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f604])).
% 0.12/0.60 fof(f606,plain,(
% 0.12/0.60 ~sP41_prd|sP45_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f605])).
% 0.12/0.60 fof(f611,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP46_prd])],[])).
% 0.12/0.60 fof(f612,plain,(
% 0.12/0.60 sP42_prd<=>(sP46_prd&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f579,f611])).
% 0.12/0.60 fof(f613,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f612])).
% 0.12/0.60 fof(f614,plain,(
% 0.12/0.60 ~sP42_prd|sP46_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f613])).
% 0.12/0.60 fof(f619,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP47_prd])],[])).
% 0.12/0.60 fof(f620,plain,(
% 0.12/0.60 sP43_prd<=>(sP47_prd&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f587,f619])).
% 0.12/0.60 fof(f621,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f620])).
% 0.12/0.60 fof(f622,plain,(
% 0.12/0.60 ~sP43_prd|sP47_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f621])).
% 0.12/0.60 fof(f635,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP49_prd])],[])).
% 0.12/0.60 fof(f636,plain,(
% 0.12/0.60 sP45_prd<=>(sP49_prd&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f603,f635])).
% 0.12/0.60 fof(f637,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f636])).
% 0.12/0.60 fof(f638,plain,(
% 0.12/0.60 ~sP45_prd|sP49_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f637])).
% 0.12/0.60 fof(f643,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP50_prd])],[])).
% 0.12/0.60 fof(f644,plain,(
% 0.12/0.60 sP46_prd<=>(sP50_prd&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f611,f643])).
% 0.12/0.60 fof(f645,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f644])).
% 0.12/0.60 fof(f646,plain,(
% 0.12/0.60 ~sP46_prd|sP50_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f645])).
% 0.12/0.60 fof(f651,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP51_prd])],[])).
% 0.12/0.60 fof(f652,plain,(
% 0.12/0.60 sP47_prd<=>(sP51_prd&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f619,f651])).
% 0.12/0.60 fof(f653,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f652])).
% 0.12/0.60 fof(f654,plain,(
% 0.12/0.60 ~sP47_prd|sP51_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f653])).
% 0.12/0.60 fof(f667,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP53_prd])],[])).
% 0.12/0.60 fof(f668,plain,(
% 0.12/0.60 sP49_prd<=>(sP53_prd&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f635,f667])).
% 0.12/0.60 fof(f669,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f668])).
% 0.12/0.60 fof(f670,plain,(
% 0.12/0.60 ~sP49_prd|sP53_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f669])).
% 0.12/0.60 fof(f675,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP54_prd])],[])).
% 0.12/0.60 fof(f676,plain,(
% 0.12/0.60 sP50_prd<=>(sP54_prd&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f643,f675])).
% 0.12/0.60 fof(f677,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f676])).
% 0.12/0.60 fof(f678,plain,(
% 0.12/0.60 ~sP50_prd|sP54_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f677])).
% 0.12/0.60 fof(f683,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP55_prd])],[])).
% 0.12/0.60 fof(f684,plain,(
% 0.12/0.60 sP51_prd<=>(sP55_prd&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f651,f683])).
% 0.12/0.60 fof(f685,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f684])).
% 0.12/0.60 fof(f686,plain,(
% 0.12/0.60 ~sP51_prd|sP55_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f685])).
% 0.12/0.60 fof(f699,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP57_prd])],[])).
% 0.12/0.60 fof(f700,plain,(
% 0.12/0.60 sP53_prd<=>(sP57_prd&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f667,f699])).
% 0.12/0.60 fof(f701,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f700])).
% 0.12/0.60 fof(f702,plain,(
% 0.12/0.60 ~sP53_prd|sP57_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f701])).
% 0.12/0.60 fof(f707,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP58_prd])],[])).
% 0.12/0.60 fof(f708,plain,(
% 0.12/0.60 sP54_prd<=>(sP58_prd&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f675,f707])).
% 0.12/0.60 fof(f709,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f708])).
% 0.12/0.60 fof(f710,plain,(
% 0.12/0.60 ~sP54_prd|sP58_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f709])).
% 0.12/0.60 fof(f715,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP59_prd])],[])).
% 0.12/0.60 fof(f716,plain,(
% 0.12/0.60 sP55_prd<=>(sP59_prd&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f683,f715])).
% 0.12/0.60 fof(f717,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f716])).
% 0.12/0.60 fof(f718,plain,(
% 0.12/0.60 ~sP55_prd|sP59_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f717])).
% 0.12/0.60 fof(f731,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP61_prd])],[])).
% 0.12/0.60 fof(f732,plain,(
% 0.12/0.60 sP57_prd<=>(sP61_prd&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f699,f731])).
% 0.12/0.60 fof(f733,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f732])).
% 0.12/0.60 fof(f734,plain,(
% 0.12/0.60 ~sP57_prd|sP61_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f733])).
% 0.12/0.60 fof(f739,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP62_prd])],[])).
% 0.12/0.60 fof(f740,plain,(
% 0.12/0.60 sP58_prd<=>(sP62_prd&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f707,f739])).
% 0.12/0.60 fof(f741,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f740])).
% 0.12/0.60 fof(f742,plain,(
% 0.12/0.60 ~sP58_prd|sP62_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f741])).
% 0.12/0.60 fof(f747,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP63_prd])],[])).
% 0.12/0.60 fof(f748,plain,(
% 0.12/0.60 sP59_prd<=>(sP63_prd&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f715,f747])).
% 0.12/0.60 fof(f749,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f748])).
% 0.12/0.60 fof(f750,plain,(
% 0.12/0.60 ~sP59_prd|sP63_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f749])).
% 0.12/0.60 fof(f763,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP65_prd])],[])).
% 0.12/0.60 fof(f764,plain,(
% 0.12/0.60 sP61_prd<=>(sP65_prd&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f731,f763])).
% 0.12/0.60 fof(f765,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f764])).
% 0.12/0.60 fof(f766,plain,(
% 0.12/0.60 ~sP61_prd|sP65_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f765])).
% 0.12/0.60 fof(f771,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP66_prd])],[])).
% 0.12/0.60 fof(f772,plain,(
% 0.12/0.60 sP62_prd<=>(sP66_prd&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f739,f771])).
% 0.12/0.60 fof(f773,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f772])).
% 0.12/0.60 fof(f774,plain,(
% 0.12/0.60 ~sP62_prd|sP66_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f773])).
% 0.12/0.60 fof(f779,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP67_prd])],[])).
% 0.12/0.60 fof(f780,plain,(
% 0.12/0.60 sP63_prd<=>(sP67_prd&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f747,f779])).
% 0.12/0.60 fof(f781,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f780])).
% 0.12/0.60 fof(f782,plain,(
% 0.12/0.60 ~sP63_prd|sP67_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f781])).
% 0.12/0.60 fof(f795,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP69_prd])],[])).
% 0.12/0.60 fof(f796,plain,(
% 0.12/0.60 sP65_prd<=>(sP69_prd&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f763,f795])).
% 0.12/0.60 fof(f797,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f796])).
% 0.12/0.60 fof(f798,plain,(
% 0.12/0.60 ~sP65_prd|sP69_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f797])).
% 0.12/0.60 fof(f803,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP70_prd])],[])).
% 0.12/0.60 fof(f804,plain,(
% 0.12/0.60 sP66_prd<=>(sP70_prd&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f771,f803])).
% 0.12/0.60 fof(f805,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f804])).
% 0.12/0.60 fof(f806,plain,(
% 0.12/0.60 ~sP66_prd|sP70_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f805])).
% 0.12/0.60 fof(f811,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP71_prd])],[])).
% 0.12/0.60 fof(f812,plain,(
% 0.12/0.60 sP67_prd<=>(sP71_prd&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f779,f811])).
% 0.12/0.60 fof(f813,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f812])).
% 0.12/0.60 fof(f814,plain,(
% 0.12/0.60 ~sP67_prd|sP71_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f813])).
% 0.12/0.60 fof(f827,definition,(
% 0.12/0.60 sP73_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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP73_prd])],[])).
% 0.12/0.60 fof(f828,plain,(
% 0.12/0.60 sP69_prd<=>(sP73_prd&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f795,f827])).
% 0.12/0.60 fof(f829,plain,(
% 0.12/0.60 (~sP69_prd|(sP73_prd&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit))))&(sP69_prd|(~sP73_prd|(op(e1,e1)=e3&(~op(e1,e3)=e1|e3=unit))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f828])).
% 0.12/0.60 fof(f830,plain,(
% 0.12/0.60 ~sP69_prd|sP73_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f829])).
% 0.12/0.60 fof(f835,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP74_prd])],[])).
% 0.12/0.60 fof(f836,plain,(
% 0.12/0.60 sP70_prd<=>(sP74_prd&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f803,f835])).
% 0.12/0.60 fof(f837,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f836])).
% 0.12/0.60 fof(f838,plain,(
% 0.12/0.60 ~sP70_prd|sP74_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f837])).
% 0.12/0.60 fof(f843,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP75_prd])],[])).
% 0.12/0.60 fof(f844,plain,(
% 0.12/0.60 sP71_prd<=>(sP75_prd&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f811,f843])).
% 0.12/0.60 fof(f845,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f844])).
% 0.12/0.60 fof(f846,plain,(
% 0.12/0.60 ~sP71_prd|sP75_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f845])).
% 0.12/0.60 fof(f859,definition,(
% 0.12/0.60 sP77_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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP77_prd])],[])).
% 0.12/0.60 fof(f860,plain,(
% 0.12/0.60 sP73_prd<=>(sP77_prd&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f827,f859])).
% 0.12/0.60 fof(f861,plain,(
% 0.12/0.60 (~sP73_prd|(sP77_prd&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit))))&(sP73_prd|(~sP77_prd|(op(e1,e0)=e3&(~op(e1,e3)=e0|e3=unit))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f860])).
% 0.12/0.60 fof(f862,plain,(
% 0.12/0.60 ~sP73_prd|sP77_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f861])).
% 0.12/0.60 fof(f863,plain,(
% 0.12/0.60 ~sP73_prd|~op(e1,e0)=e3|op(e1,e3)=e0),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f861])).
% 0.12/0.60 fof(f867,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP78_prd])],[])).
% 0.12/0.60 fof(f868,plain,(
% 0.12/0.60 sP74_prd<=>(sP78_prd&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f835,f867])).
% 0.12/0.60 fof(f869,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f868])).
% 0.12/0.60 fof(f871,plain,(
% 0.12/0.60 ~sP74_prd|~op(e1,e2)=e0|op(e1,e0)=e2),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f869])).
% 0.12/0.60 fof(f875,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP79_prd])],[])).
% 0.12/0.60 fof(f876,plain,(
% 0.12/0.60 sP75_prd<=>(sP79_prd&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f843,f875])).
% 0.12/0.60 fof(f877,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f876])).
% 0.12/0.60 fof(f878,plain,(
% 0.12/0.60 ~sP75_prd|sP79_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f877])).
% 0.12/0.60 fof(f891,definition,(
% 0.12/0.60 sP81_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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP81_prd])],[])).
% 0.12/0.60 fof(f892,plain,(
% 0.12/0.60 sP77_prd<=>(sP81_prd&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f859,f891])).
% 0.12/0.60 fof(f893,plain,(
% 0.12/0.60 (~sP77_prd|(sP81_prd&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit))))&(sP77_prd|(~sP81_prd|(op(e0,e4)=e3&(~op(e0,e3)=e4|e3=unit))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f892])).
% 0.12/0.60 fof(f894,plain,(
% 0.12/0.60 ~sP77_prd|sP81_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f893])).
% 0.12/0.60 fof(f907,definition,(
% 0.12/0.60 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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP83_prd])],[])).
% 0.12/0.60 fof(f908,plain,(
% 0.12/0.60 sP79_prd<=>(sP83_prd&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f875,f907])).
% 0.12/0.60 fof(f909,plain,(
% 0.12/0.60 (~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))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f908])).
% 0.12/0.60 fof(f911,plain,(
% 0.12/0.60 ~sP79_prd|~op(e1,e0)=e1|op(e1,e1)=e0),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f909])).
% 0.12/0.60 fof(f923,definition,(
% 0.12/0.60 sP85_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)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP85_prd])],[])).
% 0.12/0.60 fof(f924,plain,(
% 0.12/0.60 sP81_prd<=>(sP85_prd&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f891,f923])).
% 0.12/0.60 fof(f925,plain,(
% 0.12/0.60 (~sP81_prd|(sP85_prd&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit))))&(sP81_prd|(~sP85_prd|(op(e0,e3)=e3&(~op(e0,e3)=e3|e3=unit))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f924])).
% 0.12/0.60 fof(f926,plain,(
% 0.12/0.60 ~sP81_prd|sP85_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f925])).
% 0.12/0.60 fof(f955,definition,(
% 0.12/0.60 sP89_prd<=>((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sP89_prd])],[])).
% 0.12/0.60 fof(f956,plain,(
% 0.12/0.60 sP85_prd<=>(sP89_prd&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))),
% 0.12/0.60 inference(formula_renaming,[status(thm)],[f923,f955])).
% 0.12/0.60 fof(f957,plain,(
% 0.12/0.60 (~sP85_prd|(sP89_prd&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit))))&(sP85_prd|(~sP89_prd|(op(e0,e2)=e3&(~op(e0,e3)=e2|e3=unit))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f956])).
% 0.12/0.60 fof(f958,plain,(
% 0.12/0.60 ~sP85_prd|sP89_prd),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f957])).
% 0.12/0.60 fof(f987,plain,(
% 0.12/0.60 (~sP89_prd|((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit))))&(sP89_prd|((op(e0,e0)=e3&(~op(e0,e3)=e0|e3=unit))|(op(e0,e1)=e3&(~op(e0,e3)=e1|e3=unit))))),
% 0.12/0.60 inference(NNF_transformation,[status(thm)],[f955])).
% 0.12/0.60 fof(f988,plain,(
% 0.12/0.60 ~sP89_prd|~op(e0,e0)=e3|op(e0,e3)=e0),
% 0.12/0.60 inference(cnf_transformation,[status(thm)],[f987])).
% 0.12/0.60 fof(f1047,definition,(
% 0.12/0.60 sQ0_spl <=> (op(e0,e0)=e0)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1048,plain,(
% 0.12/0.60 op(e0,e0)=e0|~sQ0_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1047])).
% 0.12/0.60 fof(f1050,definition,(
% 0.12/0.60 sQ1_spl <=> (op(e0,e0)=e1)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1056,definition,(
% 0.12/0.60 sQ3_spl <=> (op(e0,e0)=e3)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1075,definition,(
% 0.12/0.60 sQ9_spl <=> (op(e0,e1)=e4)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1076,plain,(
% 0.12/0.60 op(e0,e1)=e4|~sQ9_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1075])).
% 0.12/0.60 fof(f1088,definition,(
% 0.12/0.60 sQ13_spl <=> (op(e0,e2)=e3)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1089,plain,(
% 0.12/0.60 op(e0,e2)=e3|~sQ13_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1088])).
% 0.12/0.60 fof(f1095,definition,(
% 0.12/0.60 sQ15_spl <=> (op(e0,e3)=e0)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1117,definition,(
% 0.12/0.60 sQ22_spl <=> (op(e0,e4)=e2)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1118,plain,(
% 0.12/0.60 op(e0,e4)=e2|~sQ22_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1117])).
% 0.12/0.60 fof(f1127,definition,(
% 0.12/0.60 sQ25_spl <=> (op(e1,e0)=e0)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1130,definition,(
% 0.12/0.60 sQ26_spl <=> (op(e1,e0)=e1)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1131,plain,(
% 0.12/0.60 op(e1,e0)=e1|~sQ26_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1130])).
% 0.12/0.60 fof(f1132,plain,(
% 0.12/0.60 ~op(e1,e0)=e1|sQ26_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1130])).
% 0.12/0.60 fof(f1133,definition,(
% 0.12/0.60 sQ27_spl <=> (op(e1,e0)=e2)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1134,plain,(
% 0.12/0.60 op(e1,e0)=e2|~sQ27_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1133])).
% 0.12/0.60 fof(f1136,definition,(
% 0.12/0.60 sQ28_spl <=> (op(e1,e0)=e3)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1143,definition,(
% 0.12/0.60 sQ30_spl <=> (op(e1,e1)=e0)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1144,plain,(
% 0.12/0.60 op(e1,e1)=e0|~sQ30_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1143])).
% 0.12/0.60 fof(f1146,definition,(
% 0.12/0.60 sQ31_spl <=> (op(e1,e1)=e1)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1147,plain,(
% 0.12/0.60 op(e1,e1)=e1|~sQ31_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1146])).
% 0.12/0.60 fof(f1149,definition,(
% 0.12/0.60 sQ32_spl <=> (op(e1,e1)=e2)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1150,plain,(
% 0.12/0.60 op(e1,e1)=e2|~sQ32_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1149])).
% 0.12/0.60 fof(f1152,definition,(
% 0.12/0.60 sQ33_spl <=> (op(e1,e1)=e3)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1153,plain,(
% 0.12/0.60 op(e1,e1)=e3|~sQ33_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1152])).
% 0.12/0.60 fof(f1155,definition,(
% 0.12/0.60 sQ34_spl <=> (op(e1,e1)=e4)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1158,plain,(
% 0.12/0.60 sQ30_spl|sQ31_spl|sQ32_spl|sQ33_spl|sQ34_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f15,f1143,f1146,f1149,f1152,f1155])).
% 0.12/0.60 fof(f1159,definition,(
% 0.12/0.60 sQ35_spl <=> (op(e1,e2)=e0)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1160,plain,(
% 0.12/0.60 op(e1,e2)=e0|~sQ35_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1159])).
% 0.12/0.60 fof(f1161,plain,(
% 0.12/0.60 ~op(e1,e2)=e0|sQ35_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1159])).
% 0.12/0.60 fof(f1165,definition,(
% 0.12/0.60 sQ37_spl <=> (op(e1,e2)=e2)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1166,plain,(
% 0.12/0.60 op(e1,e2)=e2|~sQ37_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1165])).
% 0.12/0.60 fof(f1175,definition,(
% 0.12/0.60 sQ40_spl <=> (op(e1,e3)=e0)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1191,definition,(
% 0.12/0.60 sQ45_spl <=> (op(e1,e4)=e0)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1192,plain,(
% 0.12/0.60 op(e1,e4)=e0|~sQ45_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1191])).
% 0.12/0.60 fof(f1194,definition,(
% 0.12/0.60 sQ46_spl <=> (op(e1,e4)=e1)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1197,definition,(
% 0.12/0.60 sQ47_spl <=> (op(e1,e4)=e2)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1198,plain,(
% 0.12/0.60 op(e1,e4)=e2|~sQ47_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1197])).
% 0.12/0.60 fof(f1216,definition,(
% 0.12/0.60 sQ53_spl <=> (op(e2,e0)=e3)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1217,plain,(
% 0.12/0.60 op(e2,e0)=e3|~sQ53_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1216])).
% 0.12/0.60 fof(f1239,definition,(
% 0.12/0.60 sQ60_spl <=> (op(e2,e2)=e0)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1240,plain,(
% 0.12/0.60 op(e2,e2)=e0|~sQ60_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1239])).
% 0.12/0.60 fof(f1242,definition,(
% 0.12/0.60 sQ61_spl <=> (op(e2,e2)=e1)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1243,plain,(
% 0.12/0.60 op(e2,e2)=e1|~sQ61_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1242])).
% 0.12/0.60 fof(f1245,definition,(
% 0.12/0.60 sQ62_spl <=> (op(e2,e2)=e2)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1246,plain,(
% 0.12/0.60 op(e2,e2)=e2|~sQ62_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1245])).
% 0.12/0.60 fof(f1248,definition,(
% 0.12/0.60 sQ63_spl <=> (op(e2,e2)=e3)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1249,plain,(
% 0.12/0.60 op(e2,e2)=e3|~sQ63_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1248])).
% 0.12/0.60 fof(f1251,definition,(
% 0.12/0.60 sQ64_spl <=> (op(e2,e2)=e4)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1252,plain,(
% 0.12/0.60 op(e2,e2)=e4|~sQ64_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1251])).
% 0.12/0.60 fof(f1254,plain,(
% 0.12/0.60 sQ60_spl|sQ61_spl|sQ62_spl|sQ63_spl|sQ64_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f21,f1239,f1242,f1245,f1248,f1251])).
% 0.12/0.60 fof(f1264,definition,(
% 0.12/0.60 sQ68_spl <=> (op(e2,e3)=e3)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1265,plain,(
% 0.12/0.60 op(e2,e3)=e3|~sQ68_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1264])).
% 0.12/0.60 fof(f1280,definition,(
% 0.12/0.60 sQ73_spl <=> (op(e2,e4)=e3)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1281,plain,(
% 0.12/0.60 op(e2,e4)=e3|~sQ73_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1280])).
% 0.12/0.60 fof(f1287,definition,(
% 0.12/0.60 sQ75_spl <=> (op(e3,e0)=e0)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1288,plain,(
% 0.12/0.60 op(e3,e0)=e0|~sQ75_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1287])).
% 0.12/0.60 fof(f1289,plain,(
% 0.12/0.60 ~op(e3,e0)=e0|sQ75_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1287])).
% 0.12/0.60 fof(f1296,definition,(
% 0.12/0.60 sQ78_spl <=> (op(e3,e0)=e3)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1319,definition,(
% 0.12/0.60 sQ85_spl <=> (op(e3,e2)=e0)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1328,definition,(
% 0.12/0.60 sQ88_spl <=> (op(e3,e2)=e3)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1329,plain,(
% 0.12/0.60 op(e3,e2)=e3|~sQ88_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1328])).
% 0.12/0.60 fof(f1335,definition,(
% 0.12/0.60 sQ90_spl <=> (op(e3,e3)=e0)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1338,definition,(
% 0.12/0.60 sQ91_spl <=> (op(e3,e3)=e1)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1339,plain,(
% 0.12/0.60 op(e3,e3)=e1|~sQ91_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1338])).
% 0.12/0.60 fof(f1347,definition,(
% 0.12/0.60 sQ94_spl <=> (op(e3,e3)=e4)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1348,plain,(
% 0.12/0.60 op(e3,e3)=e4|~sQ94_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1347])).
% 0.12/0.60 fof(f1351,definition,(
% 0.12/0.60 sQ95_spl <=> (op(e3,e4)=e0)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1352,plain,(
% 0.12/0.60 op(e3,e4)=e0|~sQ95_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1351])).
% 0.12/0.60 fof(f1354,definition,(
% 0.12/0.60 sQ96_spl <=> (op(e3,e4)=e1)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1355,plain,(
% 0.12/0.60 op(e3,e4)=e1|~sQ96_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1354])).
% 0.12/0.60 fof(f1357,definition,(
% 0.12/0.60 sQ97_spl <=> (op(e3,e4)=e2)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1358,plain,(
% 0.12/0.60 op(e3,e4)=e2|~sQ97_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1357])).
% 0.12/0.60 fof(f1360,definition,(
% 0.12/0.60 sQ98_spl <=> (op(e3,e4)=e3)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1363,definition,(
% 0.12/0.60 sQ99_spl <=> (op(e3,e4)=e4)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1364,plain,(
% 0.12/0.60 op(e3,e4)=e4|~sQ99_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1363])).
% 0.12/0.60 fof(f1366,plain,(
% 0.12/0.60 sQ95_spl|sQ96_spl|sQ97_spl|sQ98_spl|sQ99_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f28,f1351,f1354,f1357,f1360,f1363])).
% 0.12/0.60 fof(f1376,definition,(
% 0.12/0.60 sQ103_spl <=> (op(e4,e0)=e3)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1377,plain,(
% 0.12/0.60 op(e4,e0)=e3|~sQ103_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1376])).
% 0.12/0.60 fof(f1389,definition,(
% 0.12/0.60 sQ107_spl <=> (op(e4,e1)=e2)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1390,plain,(
% 0.12/0.60 op(e4,e1)=e2|~sQ107_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1389])).
% 0.12/0.60 fof(f1395,definition,(
% 0.12/0.60 sQ109_spl <=> (op(e4,e1)=e4)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1396,plain,(
% 0.12/0.60 op(e4,e1)=e4|~sQ109_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1395])).
% 0.12/0.60 fof(f1399,definition,(
% 0.12/0.60 sQ110_spl <=> (op(e4,e2)=e0)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1400,plain,(
% 0.12/0.60 op(e4,e2)=e0|~sQ110_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1399])).
% 0.12/0.60 fof(f1405,definition,(
% 0.12/0.60 sQ112_spl <=> (op(e4,e2)=e2)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1406,plain,(
% 0.12/0.60 op(e4,e2)=e2|~sQ112_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1405])).
% 0.12/0.60 fof(f1408,definition,(
% 0.12/0.60 sQ113_spl <=> (op(e4,e2)=e3)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1409,plain,(
% 0.12/0.60 op(e4,e2)=e3|~sQ113_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1408])).
% 0.12/0.60 fof(f1411,definition,(
% 0.12/0.60 sQ114_spl <=> (op(e4,e2)=e4)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1412,plain,(
% 0.12/0.60 op(e4,e2)=e4|~sQ114_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1411])).
% 0.12/0.60 fof(f1431,definition,(
% 0.12/0.60 sQ120_spl <=> (op(e4,e4)=e0)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1432,plain,(
% 0.12/0.60 op(e4,e4)=e0|~sQ120_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1431])).
% 0.12/0.60 fof(f1434,definition,(
% 0.12/0.60 sQ121_spl <=> (op(e4,e4)=e1)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1435,plain,(
% 0.12/0.60 op(e4,e4)=e1|~sQ121_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1434])).
% 0.12/0.60 fof(f1437,definition,(
% 0.12/0.60 sQ122_spl <=> (op(e4,e4)=e2)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1438,plain,(
% 0.12/0.60 op(e4,e4)=e2|~sQ122_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1437])).
% 0.12/0.60 fof(f1439,plain,(
% 0.12/0.60 ~op(e4,e4)=e2|sQ122_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1437])).
% 0.12/0.60 fof(f1440,definition,(
% 0.12/0.60 sQ123_spl <=> (op(e4,e4)=e3)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1441,plain,(
% 0.12/0.60 op(e4,e4)=e3|~sQ123_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1440])).
% 0.12/0.60 fof(f1443,definition,(
% 0.12/0.60 sQ124_spl <=> (op(e4,e4)=e4)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1444,plain,(
% 0.12/0.60 op(e4,e4)=e4|~sQ124_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1443])).
% 0.12/0.60 fof(f1447,definition,(
% 0.12/0.60 sQ125_spl <=> (unit=e0)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1448,plain,(
% 0.12/0.60 unit=e0|~sQ125_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1447])).
% 0.12/0.60 fof(f1450,definition,(
% 0.12/0.60 sQ126_spl <=> (unit=e1)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1451,plain,(
% 0.12/0.60 unit=e1|~sQ126_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1450])).
% 0.12/0.60 fof(f1453,definition,(
% 0.12/0.60 sQ127_spl <=> (unit=e2)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1454,plain,(
% 0.12/0.60 unit=e2|~sQ127_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1453])).
% 0.12/0.60 fof(f1456,definition,(
% 0.12/0.60 sQ128_spl <=> (unit=e3)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1457,plain,(
% 0.12/0.60 unit=e3|~sQ128_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1456])).
% 0.12/0.60 fof(f1459,definition,(
% 0.12/0.60 sQ129_spl <=> (unit=e4)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1460,plain,(
% 0.12/0.60 unit=e4|~sQ129_spl),
% 0.12/0.60 inference(component_clause,[status(thm)],[f1459])).
% 0.12/0.60 fof(f1462,plain,(
% 0.12/0.60 sQ125_spl|sQ126_spl|sQ127_spl|sQ128_spl|sQ129_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f44,f1447,f1450,f1453,f1456,f1459])).
% 0.12/0.60 fof(f1470,plain,(
% 0.12/0.60 sQ3_spl|sQ28_spl|sQ53_spl|sQ78_spl|sQ103_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f52,f1056,f1136,f1216,f1296,f1376])).
% 0.12/0.60 fof(f1513,plain,(
% 0.12/0.60 sQ0_spl|sQ30_spl|sQ60_spl|sQ90_spl|sQ120_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f211,f1047,f1143,f1239,f1335,f1431])).
% 0.12/0.60 fof(f1514,plain,(
% 0.12/0.60 sQ1_spl|sQ31_spl|sQ61_spl|sQ91_spl|sQ121_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f212,f1050,f1146,f1242,f1338,f1434])).
% 0.12/0.60 fof(f1518,definition,(
% 0.12/0.60 sQ130_spl <=> (sP0_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1533,plain,(
% 0.12/0.60 sQ130_spl|~sQ34_spl|sQ46_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f228,f1518,f1155,f1194])).
% 0.12/0.60 fof(f1571,definition,(
% 0.12/0.60 sQ131_spl <=> (sP1_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1574,definition,(
% 0.12/0.60 sQ132_spl <=> (sP2_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1577,plain,(
% 0.12/0.60 ~sQ130_spl|sQ131_spl|sQ132_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f271,f1518,f1571,f1574])).
% 0.12/0.60 fof(f1583,definition,(
% 0.12/0.60 sQ133_spl <=> (sP3_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1590,plain,(
% 0.12/0.60 ~sQ131_spl|sQ133_spl|~sQ122_spl|sQ114_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f283,f1571,f1583,f1437,f1411])).
% 0.12/0.60 fof(f1595,definition,(
% 0.12/0.60 sQ135_spl <=> (sP5_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1598,plain,(
% 0.12/0.60 ~sQ132_spl|sQ135_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f291,f1574,f1595])).
% 0.12/0.60 fof(f1603,definition,(
% 0.12/0.60 sQ136_spl <=> (sP6_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1606,definition,(
% 0.12/0.60 sQ137_spl <=> (sP7_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1609,plain,(
% 0.12/0.60 ~sQ133_spl|sQ136_spl|sQ137_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f301,f1583,f1603,f1606])).
% 0.12/0.60 fof(f1623,definition,(
% 0.12/0.60 sQ139_spl <=> (sP9_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1626,plain,(
% 0.12/0.60 ~sQ135_spl|sQ139_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f318,f1595,f1623])).
% 0.12/0.60 fof(f1631,definition,(
% 0.12/0.60 sQ140_spl <=> (sP10_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1634,plain,(
% 0.12/0.60 ~sQ136_spl|sQ140_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f326,f1603,f1631])).
% 0.12/0.60 fof(f1639,definition,(
% 0.12/0.60 sQ141_spl <=> (sP11_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1642,plain,(
% 0.12/0.60 ~sQ137_spl|sQ141_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f334,f1606,f1639])).
% 0.12/0.60 fof(f1655,definition,(
% 0.12/0.60 sQ143_spl <=> (sP13_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1658,plain,(
% 0.12/0.60 ~sQ139_spl|sQ143_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f350,f1623,f1655])).
% 0.12/0.60 fof(f1663,definition,(
% 0.12/0.60 sQ144_spl <=> (sP14_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1666,plain,(
% 0.12/0.60 ~sQ140_spl|sQ144_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f358,f1631,f1663])).
% 0.12/0.60 fof(f1671,definition,(
% 0.12/0.60 sQ145_spl <=> (sP15_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1674,plain,(
% 0.12/0.60 ~sQ141_spl|sQ145_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f366,f1639,f1671])).
% 0.12/0.60 fof(f1687,definition,(
% 0.12/0.60 sQ147_spl <=> (sP17_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1690,plain,(
% 0.12/0.60 ~sQ143_spl|sQ147_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f382,f1655,f1687])).
% 0.12/0.60 fof(f1695,definition,(
% 0.12/0.60 sQ148_spl <=> (sP18_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1698,plain,(
% 0.12/0.60 ~sQ144_spl|sQ148_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f390,f1663,f1695])).
% 0.12/0.60 fof(f1703,definition,(
% 0.12/0.60 sQ149_spl <=> (sP19_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1706,plain,(
% 0.12/0.60 ~sQ145_spl|sQ149_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f398,f1671,f1703])).
% 0.12/0.60 fof(f1719,definition,(
% 0.12/0.60 sQ151_spl <=> (sP21_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1722,plain,(
% 0.12/0.60 ~sQ147_spl|sQ151_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f414,f1687,f1719])).
% 0.12/0.60 fof(f1723,plain,(
% 0.12/0.60 ~sQ147_spl|~sQ98_spl|sQ94_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f415,f1687,f1360,f1347])).
% 0.12/0.60 fof(f1727,definition,(
% 0.12/0.60 sQ152_spl <=> (sP22_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1730,plain,(
% 0.12/0.60 ~sQ148_spl|sQ152_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f422,f1695,f1727])).
% 0.12/0.60 fof(f1735,definition,(
% 0.12/0.60 sQ153_spl <=> (sP23_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1738,plain,(
% 0.12/0.60 ~sQ149_spl|sQ153_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f430,f1703,f1735])).
% 0.12/0.60 fof(f1751,definition,(
% 0.12/0.60 sQ155_spl <=> (sP25_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1754,plain,(
% 0.12/0.60 ~sQ151_spl|sQ155_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f446,f1719,f1751])).
% 0.12/0.60 fof(f1759,definition,(
% 0.12/0.60 sQ156_spl <=> (sP26_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1762,plain,(
% 0.12/0.60 ~sQ152_spl|sQ156_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f454,f1727,f1759])).
% 0.12/0.60 fof(f1767,definition,(
% 0.12/0.60 sQ157_spl <=> (sP27_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1770,plain,(
% 0.12/0.60 ~sQ153_spl|sQ157_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f462,f1735,f1767])).
% 0.12/0.60 fof(f1783,definition,(
% 0.12/0.60 sQ159_spl <=> (sP29_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1786,plain,(
% 0.12/0.60 ~sQ155_spl|sQ159_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f478,f1751,f1783])).
% 0.12/0.60 fof(f1791,definition,(
% 0.12/0.60 sQ160_spl <=> (sP30_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1794,plain,(
% 0.12/0.60 ~sQ156_spl|sQ160_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f486,f1759,f1791])).
% 0.12/0.60 fof(f1799,definition,(
% 0.12/0.60 sQ161_spl <=> (sP31_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1802,plain,(
% 0.12/0.60 ~sQ157_spl|sQ161_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f494,f1767,f1799])).
% 0.12/0.60 fof(f1815,definition,(
% 0.12/0.60 sQ163_spl <=> (sP33_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1818,plain,(
% 0.12/0.60 ~sQ159_spl|sQ163_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f510,f1783,f1815])).
% 0.12/0.60 fof(f1823,definition,(
% 0.12/0.60 sQ164_spl <=> (sP34_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1826,plain,(
% 0.12/0.60 ~sQ160_spl|sQ164_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f518,f1791,f1823])).
% 0.12/0.60 fof(f1831,definition,(
% 0.12/0.60 sQ165_spl <=> (sP35_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1834,plain,(
% 0.12/0.60 ~sQ161_spl|sQ165_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f526,f1799,f1831])).
% 0.12/0.60 fof(f1847,definition,(
% 0.12/0.60 sQ167_spl <=> (sP37_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1850,plain,(
% 0.12/0.60 ~sQ163_spl|sQ167_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f542,f1815,f1847])).
% 0.12/0.60 fof(f1851,plain,(
% 0.12/0.60 ~sQ163_spl|~sQ78_spl|sQ90_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f543,f1815,f1296,f1335])).
% 0.12/0.60 fof(f1855,definition,(
% 0.12/0.60 sQ168_spl <=> (sP38_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1858,plain,(
% 0.12/0.60 ~sQ164_spl|sQ168_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f550,f1823,f1855])).
% 0.12/0.60 fof(f1861,plain,(
% 0.12/0.60 sQ164_spl|~sQ168_spl|sQ85_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f553,f1823,f1855,f1319])).
% 0.12/0.60 fof(f1863,definition,(
% 0.12/0.60 sQ169_spl <=> (sP39_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1866,plain,(
% 0.12/0.60 ~sQ165_spl|sQ169_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f558,f1831,f1863])).
% 0.12/0.60 fof(f1879,definition,(
% 0.12/0.60 sQ171_spl <=> (sP41_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1882,plain,(
% 0.12/0.60 ~sQ167_spl|sQ171_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f574,f1847,f1879])).
% 0.12/0.60 fof(f1887,definition,(
% 0.12/0.60 sQ172_spl <=> (sP42_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1890,plain,(
% 0.12/0.60 ~sQ168_spl|sQ172_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f582,f1855,f1887])).
% 0.12/0.60 fof(f1895,definition,(
% 0.12/0.60 sQ173_spl <=> (sP43_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1898,plain,(
% 0.12/0.60 ~sQ169_spl|sQ173_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f590,f1863,f1895])).
% 0.12/0.60 fof(f1911,definition,(
% 0.12/0.60 sQ175_spl <=> (sP45_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1914,plain,(
% 0.12/0.60 ~sQ171_spl|sQ175_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f606,f1879,f1911])).
% 0.12/0.60 fof(f1919,definition,(
% 0.12/0.60 sQ176_spl <=> (sP46_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1922,plain,(
% 0.12/0.60 ~sQ172_spl|sQ176_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f614,f1887,f1919])).
% 0.12/0.60 fof(f1927,definition,(
% 0.12/0.60 sQ177_spl <=> (sP47_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1930,plain,(
% 0.12/0.60 ~sQ173_spl|sQ177_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f622,f1895,f1927])).
% 0.12/0.60 fof(f1943,definition,(
% 0.12/0.60 sQ179_spl <=> (sP49_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1946,plain,(
% 0.12/0.60 ~sQ175_spl|sQ179_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f638,f1911,f1943])).
% 0.12/0.60 fof(f1951,definition,(
% 0.12/0.60 sQ180_spl <=> (sP50_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1954,plain,(
% 0.12/0.60 ~sQ176_spl|sQ180_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f646,f1919,f1951])).
% 0.12/0.60 fof(f1959,definition,(
% 0.12/0.60 sQ181_spl <=> (sP51_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1962,plain,(
% 0.12/0.60 ~sQ177_spl|sQ181_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f654,f1927,f1959])).
% 0.12/0.60 fof(f1975,definition,(
% 0.12/0.60 sQ183_spl <=> (sP53_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1978,plain,(
% 0.12/0.60 ~sQ179_spl|sQ183_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f670,f1943,f1975])).
% 0.12/0.60 fof(f1983,definition,(
% 0.12/0.60 sQ184_spl <=> (sP54_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1986,plain,(
% 0.12/0.60 ~sQ180_spl|sQ184_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f678,f1951,f1983])).
% 0.12/0.60 fof(f1991,definition,(
% 0.12/0.60 sQ185_spl <=> (sP55_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f1994,plain,(
% 0.12/0.60 ~sQ181_spl|sQ185_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f686,f1959,f1991])).
% 0.12/0.60 fof(f2007,definition,(
% 0.12/0.60 sQ187_spl <=> (sP57_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2010,plain,(
% 0.12/0.60 ~sQ183_spl|sQ187_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f702,f1975,f2007])).
% 0.12/0.60 fof(f2015,definition,(
% 0.12/0.60 sQ188_spl <=> (sP58_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2018,plain,(
% 0.12/0.60 ~sQ184_spl|sQ188_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f710,f1983,f2015])).
% 0.12/0.60 fof(f2023,definition,(
% 0.12/0.60 sQ189_spl <=> (sP59_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2026,plain,(
% 0.12/0.60 ~sQ185_spl|sQ189_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f718,f1991,f2023])).
% 0.12/0.60 fof(f2039,definition,(
% 0.12/0.60 sQ191_spl <=> (sP61_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2042,plain,(
% 0.12/0.60 ~sQ187_spl|sQ191_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f734,f2007,f2039])).
% 0.12/0.60 fof(f2047,definition,(
% 0.12/0.60 sQ192_spl <=> (sP62_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2050,plain,(
% 0.12/0.60 ~sQ188_spl|sQ192_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f742,f2015,f2047])).
% 0.12/0.60 fof(f2055,definition,(
% 0.12/0.60 sQ193_spl <=> (sP63_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2058,plain,(
% 0.12/0.60 ~sQ189_spl|sQ193_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f750,f2023,f2055])).
% 0.12/0.60 fof(f2071,definition,(
% 0.12/0.60 sQ195_spl <=> (sP65_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2074,plain,(
% 0.12/0.60 ~sQ191_spl|sQ195_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f766,f2039,f2071])).
% 0.12/0.60 fof(f2079,definition,(
% 0.12/0.60 sQ196_spl <=> (sP66_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2082,plain,(
% 0.12/0.60 ~sQ192_spl|sQ196_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f774,f2047,f2079])).
% 0.12/0.60 fof(f2087,definition,(
% 0.12/0.60 sQ197_spl <=> (sP67_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2090,plain,(
% 0.12/0.60 ~sQ193_spl|sQ197_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f782,f2055,f2087])).
% 0.12/0.60 fof(f2103,definition,(
% 0.12/0.60 sQ199_spl <=> (sP69_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2106,plain,(
% 0.12/0.60 ~sQ195_spl|sQ199_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f798,f2071,f2103])).
% 0.12/0.60 fof(f2111,definition,(
% 0.12/0.60 sQ200_spl <=> (sP70_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2114,plain,(
% 0.12/0.60 ~sQ196_spl|sQ200_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f806,f2079,f2111])).
% 0.12/0.60 fof(f2119,definition,(
% 0.12/0.60 sQ201_spl <=> (sP71_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2122,plain,(
% 0.12/0.60 ~sQ197_spl|sQ201_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f814,f2087,f2119])).
% 0.12/0.60 fof(f2135,definition,(
% 0.12/0.60 sQ203_spl <=> (sP73_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2138,plain,(
% 0.12/0.60 ~sQ199_spl|sQ203_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f830,f2103,f2135])).
% 0.12/0.60 fof(f2143,definition,(
% 0.12/0.60 sQ204_spl <=> (sP74_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2146,plain,(
% 0.12/0.60 ~sQ200_spl|sQ204_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f838,f2111,f2143])).
% 0.12/0.60 fof(f2151,definition,(
% 0.12/0.60 sQ205_spl <=> (sP75_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2154,plain,(
% 0.12/0.60 ~sQ201_spl|sQ205_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f846,f2119,f2151])).
% 0.12/0.60 fof(f2167,definition,(
% 0.12/0.60 sQ207_spl <=> (sP77_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2170,plain,(
% 0.12/0.60 ~sQ203_spl|sQ207_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f862,f2135,f2167])).
% 0.12/0.60 fof(f2171,plain,(
% 0.12/0.60 ~sQ203_spl|~sQ28_spl|sQ40_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f863,f2135,f1136,f1175])).
% 0.12/0.60 fof(f2179,plain,(
% 0.12/0.60 ~sQ204_spl|~sQ35_spl|sQ27_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f871,f2143,f1159,f1133])).
% 0.12/0.60 fof(f2183,definition,(
% 0.12/0.60 sQ209_spl <=> (sP79_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2186,plain,(
% 0.12/0.60 ~sQ205_spl|sQ209_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f878,f2151,f2183])).
% 0.12/0.60 fof(f2199,definition,(
% 0.12/0.60 sQ211_spl <=> (sP81_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2202,plain,(
% 0.12/0.60 ~sQ207_spl|sQ211_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f894,f2167,f2199])).
% 0.12/0.60 fof(f2219,plain,(
% 0.12/0.60 ~sQ209_spl|~sQ26_spl|sQ30_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f911,f2183,f1130,f1143])).
% 0.12/0.60 fof(f2231,definition,(
% 0.12/0.60 sQ215_spl <=> (sP85_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2234,plain,(
% 0.12/0.60 ~sQ211_spl|sQ215_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f926,f2199,f2231])).
% 0.12/0.60 fof(f2263,definition,(
% 0.12/0.60 sQ219_spl <=> (sP89_prd)),
% 0.12/0.60 introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition])).
% 0.12/0.60 fof(f2266,plain,(
% 0.12/0.60 ~sQ215_spl|sQ219_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f958,f2231,f2263])).
% 0.12/0.60 fof(f2295,plain,(
% 0.12/0.60 ~sQ219_spl|~sQ3_spl|sQ15_spl),
% 0.12/0.60 inference(split_clause,[status(thm)],[f988,f2263,f1056,f1095])).
% 0.12/0.60 fof(f2351,plain,(
% 0.12/0.60 e0=op(e1,e2)),
% 0.12/0.60 inference(backward_demodulation,[status(thm)],[f206,f205])).
% 0.12/0.60 fof(f2352,plain,(
% 0.12/0.60 e3=op(e2,op(op(e1,e1),op(e1,e1)))),
% 0.12/0.60 inference(forward_demodulation,[status(thm)],[f206,f207])).
% 0.12/0.60 fof(f2353,plain,(
% 0.12/0.60 ~e3=op(e2,e4)),
% 0.12/0.60 inference(backward_demodulation,[status(thm)],[f2361,f173])).
% 0.12/0.60 fof(f2354,plain,(
% 0.12/0.60 ~e3=op(e2,e3)),
% 0.12/0.60 inference(backward_demodulation,[status(thm)],[f2361,f172])).
% 0.12/0.60 fof(f2357,plain,(
% 0.12/0.60 ~e3=op(e4,e2)),
% 0.12/0.60 inference(backward_demodulation,[status(thm)],[f2361,f123])).
% 0.12/0.60 fof(f2358,plain,(
% 0.12/0.60 ~e3=op(e3,e2)),
% 0.12/0.60 inference(backward_demodulation,[status(thm)],[f2361,f122])).
% 0.12/0.60 fof(f2360,plain,(
% 0.12/0.60 ~op(e0,e2)=e3),
% 0.12/0.60 inference(backward_demodulation,[status(thm)],[f2361,f116])).
% 0.12/0.60 fof(f2361,plain,(
% 0.12/0.60 e3=op(e2,e2)),
% 0.12/0.60 inference(forward_demodulation,[status(thm)],[f206,f2352])).
% 0.12/0.60 fof(f2362,plain,(
% 0.12/0.60 e2=op(op(e1,e1),e4)),
% 0.12/0.60 inference(backward_demodulation,[status(thm)],[f208,f206])).
% 0.12/0.60 fof(f2367,plain,(
% 0.12/0.60 ~e4=op(e4,e1)),
% 0.12/0.60 inference(backward_demodulation,[status(thm)],[f208,f111])).
% 0.12/0.60 fof(f2370,plain,(
% 0.12/0.60 ~op(e0,e1)=e4),
% 0.12/0.60 inference(backward_demodulation,[status(thm)],[f208,f105])).
% 0.12/0.60 fof(f2382,plain,(
% 0.12/0.60 e2=e3|~sQ122_spl|~sQ123_spl),
% 0.12/0.60 inference(forward_demodulation,[status(thm)],[f1438,f1441])).
% 0.12/0.60 fof(f2383,plain,(
% 0.12/0.60 $false|~sQ122_spl|~sQ123_spl),
% 0.12/0.60 inference(forward_subsumption_resolution,[status(thm)],[f2382,f202])).
% 0.12/0.60 fof(f2384,plain,(
% 0.12/0.60 ~sQ122_spl|~sQ123_spl),
% 0.12/0.60 inference(contradiction_clause,[status(thm)],[f2383])).
% 0.12/0.61 fof(f2397,plain,(
% 0.12/0.61 ~op(e1,e2)=e0|~sQ45_spl),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f1192,f163])).
% 0.12/0.61 fof(f2431,plain,(
% 0.12/0.61 ~e0=op(e0,e3)|~sQ0_spl),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f1048,f147])).
% 0.12/0.61 fof(f2437,plain,(
% 0.12/0.61 e4=e0|~sQ30_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f208,f1144])).
% 0.12/0.61 fof(f2438,plain,(
% 0.12/0.61 $false|~sQ30_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f2437,f198])).
% 0.12/0.61 fof(f2439,plain,(
% 0.12/0.61 ~sQ30_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f2438])).
% 0.12/0.61 fof(f2440,plain,(
% 0.12/0.61 e4=e1|~sQ31_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f208,f1147])).
% 0.12/0.61 fof(f2441,plain,(
% 0.12/0.61 $false|~sQ31_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f2440,f201])).
% 0.12/0.61 fof(f2442,plain,(
% 0.12/0.61 ~sQ31_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f2441])).
% 0.12/0.61 fof(f2443,plain,(
% 0.12/0.61 e4=e3|~sQ33_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f208,f1153])).
% 0.12/0.61 fof(f2444,plain,(
% 0.12/0.61 $false|~sQ33_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f2443,f204])).
% 0.12/0.61 fof(f2445,plain,(
% 0.12/0.61 ~sQ33_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f2444])).
% 0.12/0.61 fof(f2446,plain,(
% 0.12/0.61 e3=e0|~sQ60_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f2361,f1240])).
% 0.12/0.61 fof(f2447,plain,(
% 0.12/0.61 $false|~sQ60_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f2446,f197])).
% 0.12/0.61 fof(f2448,plain,(
% 0.12/0.61 ~sQ60_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f2447])).
% 0.12/0.61 fof(f2449,plain,(
% 0.12/0.61 e3=e2|~sQ62_spl),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f1246,f2361])).
% 0.12/0.61 fof(f2524,plain,(
% 0.12/0.61 e0=e2|~sQ37_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1166,f2351])).
% 0.12/0.61 fof(f2525,plain,(
% 0.12/0.61 $false|~sQ37_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f2524,f196])).
% 0.12/0.61 fof(f2526,plain,(
% 0.12/0.61 ~sQ37_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f2525])).
% 0.12/0.61 fof(f2529,plain,(
% 0.12/0.61 e2=op(e4,e4)),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f208,f2362])).
% 0.12/0.61 fof(f2530,plain,(
% 0.12/0.61 e2=e4|~sQ124_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1444,f2529])).
% 0.12/0.61 fof(f2531,plain,(
% 0.12/0.61 $false|~sQ124_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f2530,f203])).
% 0.12/0.61 fof(f2532,plain,(
% 0.12/0.61 ~sQ124_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f2531])).
% 0.12/0.61 fof(f2552,plain,(
% 0.12/0.61 ~sQ35_spl|~sQ45_spl),
% 0.12/0.61 inference(split_clause,[status(thm)],[f2397,f1159,f1191])).
% 0.12/0.61 fof(f2569,plain,(
% 0.12/0.61 e4=e1|~sQ94_spl|~sQ91_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1348,f1339])).
% 0.12/0.61 fof(f2570,plain,(
% 0.12/0.61 $false|~sQ94_spl|~sQ91_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f2569,f201])).
% 0.12/0.61 fof(f2571,plain,(
% 0.12/0.61 ~sQ94_spl|~sQ91_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f2570])).
% 0.12/0.61 fof(f2606,plain,(
% 0.12/0.61 e4=e2|~sQ32_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f208,f1150])).
% 0.12/0.61 fof(f2607,plain,(
% 0.12/0.61 $false|~sQ32_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f2606,f203])).
% 0.12/0.61 fof(f2608,plain,(
% 0.12/0.61 ~sQ32_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f2607])).
% 0.12/0.61 fof(f2660,plain,(
% 0.12/0.61 $false|~sQ73_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1281,f2353])).
% 0.12/0.61 fof(f2661,plain,(
% 0.12/0.61 ~sQ73_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f2660])).
% 0.12/0.61 fof(f2677,plain,(
% 0.12/0.61 ~op(e3,e4)=e2),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f2529,f144])).
% 0.12/0.61 fof(f2690,plain,(
% 0.12/0.61 ~op(e4,unit)=op(e4,e2)|~sQ125_spl),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f1448,f186])).
% 0.12/0.61 fof(f2728,plain,(
% 0.12/0.61 ~op(unit,e4)=op(e3,e4)|~sQ125_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1448,f137])).
% 0.12/0.61 fof(f2729,plain,(
% 0.12/0.61 ~e4=op(e3,e4)|~sQ125_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f42,f2728])).
% 0.12/0.61 fof(f2730,plain,(
% 0.12/0.61 ~e4=e4|~sQ99_spl|~sQ125_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1364,f2729])).
% 0.12/0.61 fof(f2731,plain,(
% 0.12/0.61 $false|~sQ99_spl|~sQ125_spl),
% 0.12/0.61 inference(trivial_equality_resolution,[status(thm)],[f2730])).
% 0.12/0.61 fof(f2732,plain,(
% 0.12/0.61 ~sQ99_spl|~sQ125_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f2731])).
% 0.12/0.61 fof(f2741,plain,(
% 0.12/0.61 ~op(e1,unit)=e1|~sQ125_spl|sQ26_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1448,f1132])).
% 0.12/0.61 fof(f2742,plain,(
% 0.12/0.61 ~e1=e1|~sQ125_spl|sQ26_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f37,f2741])).
% 0.12/0.61 fof(f2743,plain,(
% 0.12/0.61 $false|~sQ125_spl|sQ26_spl),
% 0.12/0.61 inference(trivial_equality_resolution,[status(thm)],[f2742])).
% 0.12/0.61 fof(f2744,plain,(
% 0.12/0.61 ~sQ125_spl|sQ26_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f2743])).
% 0.12/0.61 fof(f2753,plain,(
% 0.12/0.61 e3=e4|~sQ64_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1252,f2361])).
% 0.12/0.61 fof(f2754,plain,(
% 0.12/0.61 $false|~sQ64_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f2753,f204])).
% 0.12/0.61 fof(f2755,plain,(
% 0.12/0.61 ~sQ64_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f2754])).
% 0.12/0.61 fof(f2760,plain,(
% 0.12/0.61 ~op(e4,e2)=e2),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f2529,f193])).
% 0.12/0.61 fof(f2807,plain,(
% 0.12/0.61 $false|~sQ88_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1329,f2358])).
% 0.12/0.61 fof(f2808,plain,(
% 0.12/0.61 ~sQ88_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f2807])).
% 0.12/0.61 fof(f2809,plain,(
% 0.12/0.61 $false|~sQ68_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1265,f2354])).
% 0.12/0.61 fof(f2810,plain,(
% 0.12/0.61 ~sQ68_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f2809])).
% 0.12/0.61 fof(f2842,plain,(
% 0.12/0.61 ~e4=e4|~sQ109_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1396,f2367])).
% 0.12/0.61 fof(f2843,plain,(
% 0.12/0.61 $false|~sQ109_spl),
% 0.12/0.61 inference(trivial_equality_resolution,[status(thm)],[f2842])).
% 0.12/0.61 fof(f2844,plain,(
% 0.12/0.61 ~sQ109_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f2843])).
% 0.12/0.61 fof(f2850,plain,(
% 0.12/0.61 ~op(e3,e0)=e3|~sQ103_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1377,f104])).
% 0.12/0.61 fof(f2920,plain,(
% 0.12/0.61 ~e2=unit|~sQ129_spl),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f1460,f203])).
% 0.12/0.61 fof(f2923,plain,(
% 0.12/0.61 op(unit,e4)=unit|~sQ129_spl),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f1460,f42])).
% 0.12/0.61 fof(f2996,plain,(
% 0.12/0.61 ~op(e1,e0)=e0|~sQ35_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1160,f156])).
% 0.12/0.61 fof(f3020,plain,(
% 0.12/0.61 ~e0=op(e3,e2)|~sQ35_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1160,f120])).
% 0.12/0.61 fof(f3023,plain,(
% 0.12/0.61 ~e0=op(e1,e3)|~sQ35_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1160,f162])).
% 0.12/0.61 fof(f3026,plain,(
% 0.12/0.61 ~e2=e2|~sQ97_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1358,f2677])).
% 0.12/0.61 fof(f3027,plain,(
% 0.12/0.61 $false|~sQ97_spl),
% 0.12/0.61 inference(trivial_equality_resolution,[status(thm)],[f3026])).
% 0.12/0.61 fof(f3028,plain,(
% 0.12/0.61 ~sQ97_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f3027])).
% 0.12/0.61 fof(f3052,plain,(
% 0.12/0.61 $false|~sQ112_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1406,f2760])).
% 0.12/0.61 fof(f3053,plain,(
% 0.12/0.61 ~sQ112_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f3052])).
% 0.12/0.61 fof(f3056,plain,(
% 0.12/0.61 ~op(e0,e0)=e0|~sQ75_spl),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f1288,f97])).
% 0.12/0.61 fof(f3074,plain,(
% 0.12/0.61 $false|~sQ13_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1089,f2360])).
% 0.12/0.61 fof(f3075,plain,(
% 0.12/0.61 ~sQ13_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f3074])).
% 0.12/0.61 fof(f3089,plain,(
% 0.12/0.61 ~op(e0,e4)=e2),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f2529,f138])).
% 0.12/0.61 fof(f3090,plain,(
% 0.12/0.61 ~op(e4,e1)=e2),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f2529,f191])).
% 0.12/0.61 fof(f3091,plain,(
% 0.12/0.61 e2=e1|~sQ121_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f2529,f1435])).
% 0.12/0.61 fof(f3092,plain,(
% 0.12/0.61 $false|~sQ121_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f3091,f199])).
% 0.12/0.61 fof(f3093,plain,(
% 0.12/0.61 ~sQ121_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f3092])).
% 0.12/0.61 fof(f3123,plain,(
% 0.12/0.61 op(e2,unit)=e3|~sQ127_spl|~sQ63_spl),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f1454,f1249])).
% 0.12/0.61 fof(f3224,plain,(
% 0.12/0.61 ~e0=op(e4,e2)),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f2351,f121])).
% 0.12/0.61 fof(f3354,plain,(
% 0.12/0.61 e2=op(unit,e4)|~sQ129_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1460,f2529])).
% 0.12/0.61 fof(f3355,plain,(
% 0.12/0.61 e2=unit|~sQ129_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f2923,f3354])).
% 0.12/0.61 fof(f3356,plain,(
% 0.12/0.61 $false|~sQ129_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f3355,f2920])).
% 0.12/0.61 fof(f3357,plain,(
% 0.12/0.61 ~sQ129_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f3356])).
% 0.12/0.61 fof(f3382,plain,(
% 0.12/0.61 ~e2=e2|~sQ22_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1118,f3089])).
% 0.12/0.61 fof(f3383,plain,(
% 0.12/0.61 $false|~sQ22_spl),
% 0.12/0.61 inference(trivial_equality_resolution,[status(thm)],[f3382])).
% 0.12/0.61 fof(f3384,plain,(
% 0.12/0.61 ~sQ22_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f3383])).
% 0.12/0.61 fof(f3394,plain,(
% 0.12/0.61 ~e2=e2|~sQ107_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1390,f3090])).
% 0.12/0.61 fof(f3395,plain,(
% 0.12/0.61 $false|~sQ107_spl),
% 0.12/0.61 inference(trivial_equality_resolution,[status(thm)],[f3394])).
% 0.12/0.61 fof(f3396,plain,(
% 0.12/0.61 ~sQ107_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f3395])).
% 0.12/0.61 fof(f3497,plain,(
% 0.12/0.61 e2=e3|~sQ127_spl|~sQ63_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f39,f3123])).
% 0.12/0.61 fof(f3498,plain,(
% 0.12/0.61 $false|~sQ127_spl|~sQ63_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f3497,f202])).
% 0.12/0.61 fof(f3499,plain,(
% 0.12/0.61 ~sQ127_spl|~sQ63_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f3498])).
% 0.12/0.61 fof(f3602,plain,(
% 0.12/0.61 ~op(e3,e3)=e0|~sQ95_spl),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f1352,f184])).
% 0.12/0.61 fof(f3727,plain,(
% 0.12/0.61 ~sQ40_spl|~sQ35_spl),
% 0.12/0.61 inference(split_clause,[status(thm)],[f3023,f1175,f1159])).
% 0.12/0.61 fof(f3728,plain,(
% 0.12/0.61 ~sQ25_spl|~sQ35_spl),
% 0.12/0.61 inference(split_clause,[status(thm)],[f2996,f1127,f1159])).
% 0.12/0.61 fof(f3729,plain,(
% 0.12/0.61 ~sQ85_spl|~sQ35_spl),
% 0.12/0.61 inference(split_clause,[status(thm)],[f3020,f1319,f1159])).
% 0.12/0.61 fof(f3739,plain,(
% 0.12/0.61 ~sQ90_spl|~sQ95_spl),
% 0.12/0.61 inference(split_clause,[status(thm)],[f3602,f1335,f1351])).
% 0.12/0.61 fof(f3753,plain,(
% 0.12/0.61 ~op(e4,e2)=op(e4,e2)|~sQ62_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f2449,f192])).
% 0.12/0.61 fof(f3754,plain,(
% 0.12/0.61 $false|~sQ62_spl),
% 0.12/0.61 inference(trivial_equality_resolution,[status(thm)],[f3753])).
% 0.12/0.61 fof(f3755,plain,(
% 0.12/0.61 ~sQ62_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f3754])).
% 0.12/0.61 fof(f3855,plain,(
% 0.12/0.61 ~op(unit,e0)=e0|~sQ128_spl|sQ75_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1457,f1289])).
% 0.12/0.61 fof(f3856,plain,(
% 0.12/0.61 ~e0=e0|~sQ128_spl|sQ75_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f34,f3855])).
% 0.12/0.61 fof(f3857,plain,(
% 0.12/0.61 $false|~sQ128_spl|sQ75_spl),
% 0.12/0.61 inference(trivial_equality_resolution,[status(thm)],[f3856])).
% 0.12/0.61 fof(f3858,plain,(
% 0.12/0.61 ~sQ128_spl|sQ75_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f3857])).
% 0.12/0.61 fof(f3955,plain,(
% 0.12/0.61 ~e2=e2|sQ122_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f2529,f1439])).
% 0.12/0.61 fof(f3956,plain,(
% 0.12/0.61 $false|sQ122_spl),
% 0.12/0.61 inference(trivial_equality_resolution,[status(thm)],[f3955])).
% 0.12/0.61 fof(f3957,plain,(
% 0.12/0.61 sQ122_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f3956])).
% 0.12/0.61 fof(f3994,plain,(
% 0.12/0.61 e0=op(unit,e2)|~sQ126_spl),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f1451,f2351])).
% 0.12/0.61 fof(f4077,plain,(
% 0.12/0.61 $false|~sQ113_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1409,f2357])).
% 0.12/0.61 fof(f4078,plain,(
% 0.12/0.61 ~sQ113_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f4077])).
% 0.12/0.61 fof(f4131,plain,(
% 0.12/0.61 e3=e1|~sQ61_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f2361,f1243])).
% 0.12/0.61 fof(f4157,plain,(
% 0.12/0.61 ~e0=op(e3,e3)|~sQ75_spl),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f1288,f177])).
% 0.12/0.61 fof(f4169,plain,(
% 0.12/0.61 $false|sQ35_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f2351,f1161])).
% 0.12/0.61 fof(f4170,plain,(
% 0.12/0.61 sQ35_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f4169])).
% 0.12/0.61 fof(f4175,plain,(
% 0.12/0.61 ~op(e3,e3)=e1|~sQ96_spl),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f1355,f184])).
% 0.12/0.61 fof(f4255,plain,(
% 0.12/0.61 ~sQ0_spl|~sQ75_spl),
% 0.12/0.61 inference(split_clause,[status(thm)],[f3056,f1047,f1287])).
% 0.12/0.61 fof(f4295,plain,(
% 0.12/0.61 ~op(e0,e0)=e1|~sQ26_spl),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f1131,f95])).
% 0.12/0.61 fof(f4323,plain,(
% 0.12/0.61 ~op(e1,e4)=e2),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f2529,f141])).
% 0.12/0.61 fof(f4326,plain,(
% 0.12/0.61 ~e1=op(e1,e4)|~sQ26_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1131,f158])).
% 0.12/0.61 fof(f4339,plain,(
% 0.12/0.61 e2=e1|~sQ27_spl|~sQ26_spl),
% 0.12/0.61 inference(backward_demodulation,[status(thm)],[f1134,f1131])).
% 0.12/0.61 fof(f4503,plain,(
% 0.12/0.61 e2=e0|~sQ120_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f2529,f1432])).
% 0.12/0.61 fof(f4504,plain,(
% 0.12/0.61 $false|~sQ120_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f4503,f196])).
% 0.12/0.61 fof(f4505,plain,(
% 0.12/0.61 ~sQ120_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f4504])).
% 0.12/0.61 fof(f4506,plain,(
% 0.12/0.61 $false|~sQ27_spl|~sQ26_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f4339,f199])).
% 0.12/0.61 fof(f4507,plain,(
% 0.12/0.61 ~sQ27_spl|~sQ26_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f4506])).
% 0.12/0.61 fof(f4518,plain,(
% 0.12/0.61 ~sQ91_spl|~sQ96_spl),
% 0.12/0.61 inference(split_clause,[status(thm)],[f4175,f1338,f1354])).
% 0.12/0.61 fof(f4563,plain,(
% 0.12/0.61 ~sQ90_spl|~sQ75_spl),
% 0.12/0.61 inference(split_clause,[status(thm)],[f4157,f1335,f1287])).
% 0.12/0.61 fof(f4599,plain,(
% 0.12/0.61 ~sQ46_spl|~sQ26_spl),
% 0.12/0.61 inference(split_clause,[status(thm)],[f4326,f1194,f1130])).
% 0.12/0.61 fof(f4629,plain,(
% 0.12/0.61 ~e4=op(e4,e2)|~sQ125_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f43,f2690])).
% 0.12/0.61 fof(f4630,plain,(
% 0.12/0.61 ~e4=e4|~sQ114_spl|~sQ125_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1412,f4629])).
% 0.12/0.61 fof(f4631,plain,(
% 0.12/0.61 $false|~sQ114_spl|~sQ125_spl),
% 0.12/0.61 inference(trivial_equality_resolution,[status(thm)],[f4630])).
% 0.12/0.61 fof(f4632,plain,(
% 0.12/0.61 ~sQ114_spl|~sQ125_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f4631])).
% 0.12/0.61 fof(f4665,plain,(
% 0.12/0.61 $false|~sQ47_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1198,f4323])).
% 0.12/0.61 fof(f4666,plain,(
% 0.12/0.61 ~sQ47_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f4665])).
% 0.12/0.61 fof(f4698,plain,(
% 0.12/0.61 ~sQ1_spl|~sQ26_spl),
% 0.12/0.61 inference(split_clause,[status(thm)],[f4295,f1050,f1130])).
% 0.12/0.61 fof(f4734,plain,(
% 0.12/0.61 $false|~sQ110_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1400,f3224])).
% 0.12/0.61 fof(f4735,plain,(
% 0.12/0.61 ~sQ110_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f4734])).
% 0.12/0.61 fof(f4736,plain,(
% 0.12/0.61 $false|~sQ9_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1076,f2370])).
% 0.12/0.61 fof(f4737,plain,(
% 0.12/0.61 ~sQ9_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f4736])).
% 0.12/0.61 fof(f4752,plain,(
% 0.12/0.61 ~sQ15_spl|~sQ0_spl),
% 0.12/0.61 inference(split_clause,[status(thm)],[f2431,f1095,f1047])).
% 0.12/0.61 fof(f4772,plain,(
% 0.12/0.61 e0=e2|~sQ126_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f38,f3994])).
% 0.12/0.61 fof(f4773,plain,(
% 0.12/0.61 $false|~sQ126_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f4772,f196])).
% 0.12/0.61 fof(f4774,plain,(
% 0.12/0.61 ~sQ126_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f4773])).
% 0.12/0.61 fof(f4776,plain,(
% 0.12/0.61 $false|~sQ61_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f4131,f200])).
% 0.12/0.61 fof(f4777,plain,(
% 0.12/0.61 ~sQ61_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f4776])).
% 0.12/0.61 fof(f4886,plain,(
% 0.12/0.61 op(e2,unit)=e3|~sQ125_spl|~sQ53_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1448,f1217])).
% 0.12/0.61 fof(f4887,plain,(
% 0.12/0.61 e2=e3|~sQ125_spl|~sQ53_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f39,f4886])).
% 0.12/0.61 fof(f4888,plain,(
% 0.12/0.61 $false|~sQ125_spl|~sQ53_spl),
% 0.12/0.61 inference(forward_subsumption_resolution,[status(thm)],[f4887,f202])).
% 0.12/0.61 fof(f4889,plain,(
% 0.12/0.61 ~sQ125_spl|~sQ53_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f4888])).
% 0.12/0.61 fof(f4890,plain,(
% 0.12/0.61 ~op(e3,unit)=e3|~sQ125_spl|~sQ103_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f1448,f2850])).
% 0.12/0.61 fof(f4891,plain,(
% 0.12/0.61 ~e3=e3|~sQ125_spl|~sQ103_spl),
% 0.12/0.61 inference(forward_demodulation,[status(thm)],[f41,f4890])).
% 0.12/0.61 fof(f4892,plain,(
% 0.12/0.61 $false|~sQ125_spl|~sQ103_spl),
% 0.12/0.61 inference(trivial_equality_resolution,[status(thm)],[f4891])).
% 0.12/0.61 fof(f4893,plain,(
% 0.12/0.61 ~sQ125_spl|~sQ103_spl),
% 0.12/0.61 inference(contradiction_clause,[status(thm)],[f4892])).
% 0.12/0.61 fof(f4894,plain,(
% 0.12/0.61 $false),
% 0.12/0.61 inference(sat_refutation,[status(thm)],[f1158,f1254,f1366,f1462,f1470,f1513,f1514,f1533,f1577,f1590,f1598,f1609,f1626,f1634,f1642,f1658,f1666,f1674,f1690,f1698,f1706,f1722,f1723,f1730,f1738,f1754,f1762,f1770,f1786,f1794,f1802,f1818,f1826,f1834,f1850,f1851,f1858,f1861,f1866,f1882,f1890,f1898,f1914,f1922,f1930,f1946,f1954,f1962,f1978,f1986,f1994,f2010,f2018,f2026,f2042,f2050,f2058,f2074,f2082,f2090,f2106,f2114,f2122,f2138,f2146,f2154,f2170,f2171,f2179,f2186,f2202,f2219,f2234,f2266,f2295,f2384,f2439,f2442,f2445,f2448,f2526,f2532,f2552,f2571,f2608,f2661,f2732,f2744,f2755,f2808,f2810,f2844,f3028,f3053,f3075,f3093,f3357,f3384,f3396,f3499,f3727,f3728,f3729,f3739,f3755,f3858,f3957,f4078,f4170,f4255,f4505,f4507,f4518,f4563,f4599,f4632,f4666,f4698,f4735,f4737,f4752,f4774,f4777,f4889,f4893])).
% 0.12/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.63 % Elapsed time: 0.256817 seconds
% 0.19/0.63 % CPU time: 1.536332 seconds
% 0.19/0.63 % Total memory used: 146.557 MB
% 0.19/0.63 % Net memory used: 145.881 MB
%------------------------------------------------------------------------------