%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG055+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 11:49:32 AM UTC 2026
% Result : Theorem 0.14s 5.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG055+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.52 % Computer : n008.cluster.edu
% 0.10/5.52 % Model : x86_64 x86_64
% 0.10/5.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.52 % Memory : 8046.5625MB
% 0.10/5.52 % OS : Linux 6.8.0-71-generic
% 0.10/5.52 % CPULimit : 300
% 0.10/5.52 % WCLimit : 300
% 0.10/5.52 % DateTime : Mon Sep 21 12:55:31 UTC 2026
% 0.10/5.53 % CPUTime :
% 0.10/5.57 % Drodi V4.1.1
% 0.14/5.73 % Refutation found
% 0.14/5.73 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.73 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.73 fof(f1,axiom,(
% 0.14/5.73 ( ( op(e0,e0) = e0| op(e0,e0) = e1| op(e0,e0) = e2| op(e0,e0) = e3| op(e0,e0) = e4 )& ( op(e0,e1) = e0| op(e0,e1) = e1| op(e0,e1) = e2| op(e0,e1) = e3| op(e0,e1) = e4 )& ( op(e0,e2) = e0| op(e0,e2) = e1| op(e0,e2) = e2| op(e0,e2) = e3| op(e0,e2) = e4 )& ( op(e0,e3) = e0| op(e0,e3) = e1| op(e0,e3) = e2| op(e0,e3) = e3| op(e0,e3) = e4 )& ( op(e0,e4) = e0| op(e0,e4) = e1| op(e0,e4) = e2| op(e0,e4) = e3| op(e0,e4) = e4 )& ( op(e1,e0) = e0| op(e1,e0) = e1| op(e1,e0) = e2| op(e1,e0) = e3| op(e1,e0) = e4 )& ( op(e1,e1) = e0| op(e1,e1) = e1| op(e1,e1) = e2| op(e1,e1) = e3| op(e1,e1) = e4 )& ( op(e1,e2) = e0| op(e1,e2) = e1| op(e1,e2) = e2| op(e1,e2) = e3| op(e1,e2) = e4 )& ( op(e1,e3) = e0| op(e1,e3) = e1| op(e1,e3) = e2| op(e1,e3) = e3| op(e1,e3) = e4 )& ( op(e1,e4) = e0| op(e1,e4) = e1| op(e1,e4) = e2| op(e1,e4) = e3| op(e1,e4) = e4 )& ( op(e2,e0) = e0| op(e2,e0) = e1| op(e2,e0) = e2| op(e2,e0) = e3| op(e2,e0) = e4 )& ( op(e2,e1) = e0| op(e2,e1) = e1| op(e2,e1) = e2| op(e2,e1) = e3| op(e2,e1) = e4 )& ( op(e2,e2) = e0| op(e2,e2) = e1| op(e2,e2) = e2| op(e2,e2) = e3| op(e2,e2) = e4 )& ( op(e2,e3) = e0| op(e2,e3) = e1| op(e2,e3) = e2| op(e2,e3) = e3| op(e2,e3) = e4 )& ( op(e2,e4) = e0| op(e2,e4) = e1| op(e2,e4) = e2| op(e2,e4) = e3| op(e2,e4) = e4 )& ( op(e3,e0) = e0| op(e3,e0) = e1| op(e3,e0) = e2| op(e3,e0) = e3| op(e3,e0) = e4 )& ( op(e3,e1) = e0| op(e3,e1) = e1| op(e3,e1) = e2| op(e3,e1) = e3| op(e3,e1) = e4 )& ( op(e3,e2) = e0| op(e3,e2) = e1| op(e3,e2) = e2| op(e3,e2) = e3| op(e3,e2) = e4 )& ( op(e3,e3) = e0| op(e3,e3) = e1| op(e3,e3) = e2| op(e3,e3) = e3| op(e3,e3) = e4 )& ( op(e3,e4) = e0| op(e3,e4) = e1| op(e3,e4) = e2| op(e3,e4) = e3| op(e3,e4) = e4 )& ( op(e4,e0) = e0| op(e4,e0) = e1| op(e4,e0) = e2| op(e4,e0) = e3| op(e4,e0) = e4 )& ( op(e4,e1) = e0| op(e4,e1) = e1| op(e4,e1) = e2| op(e4,e1) = e3| op(e4,e1) = e4 )& ( op(e4,e2) = e0| op(e4,e2) = e1| op(e4,e2) = e2| op(e4,e2) = e3| op(e4,e2) = e4 )& ( op(e4,e3) = e0| op(e4,e3) = e1| op(e4,e3) = e2| op(e4,e3) = e3| op(e4,e3) = e4 )& ( op(e4,e4) = e0| op(e4,e4) = e1| op(e4,e4) = e2| op(e4,e4) = e3| op(e4,e4) = e4 ) ) ),
% 0.14/5.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.73 fof(f2,axiom,(
% 0.14/5.73 ( op(unit,e0) = e0& op(e0,unit) = e0& op(unit,e1) = e1& op(e1,unit) = e1& op(unit,e2) = e2& op(e2,unit) = e2& op(unit,e3) = e3& op(e3,unit) = e3& op(unit,e4) = e4& op(e4,unit) = e4& ( unit = e0| unit = e1| unit = e2| unit = e3| unit = e4 ) ) ),
% 0.14/5.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.73 fof(f3,axiom,(
% 0.14/5.73 ( ( op(e0,e0) = e0| op(e0,e1) = e0| op(e0,e2) = e0| op(e0,e3) = e0| op(e0,e4) = e0 )& ( op(e0,e0) = e0| op(e1,e0) = e0| op(e2,e0) = e0| op(e3,e0) = e0| op(e4,e0) = e0 )& ( op(e0,e0) = e1| op(e0,e1) = e1| op(e0,e2) = e1| op(e0,e3) = e1| op(e0,e4) = e1 )& ( op(e0,e0) = e1| op(e1,e0) = e1| op(e2,e0) = e1| op(e3,e0) = e1| op(e4,e0) = e1 )& ( op(e0,e0) = e2| op(e0,e1) = e2| op(e0,e2) = e2| op(e0,e3) = e2| op(e0,e4) = e2 )& ( op(e0,e0) = e2| op(e1,e0) = e2| op(e2,e0) = e2| op(e3,e0) = e2| op(e4,e0) = e2 )& ( op(e0,e0) = e3| op(e0,e1) = e3| op(e0,e2) = e3| op(e0,e3) = e3| op(e0,e4) = e3 )& ( op(e0,e0) = e3| op(e1,e0) = e3| op(e2,e0) = e3| op(e3,e0) = e3| op(e4,e0) = e3 )& ( op(e0,e0) = e4| op(e0,e1) = e4| op(e0,e2) = e4| op(e0,e3) = e4| op(e0,e4) = e4 )& ( op(e0,e0) = e4| op(e1,e0) = e4| op(e2,e0) = e4| op(e3,e0) = e4| op(e4,e0) = e4 )& ( op(e1,e0) = e0| op(e1,e1) = e0| op(e1,e2) = e0| op(e1,e3) = e0| op(e1,e4) = e0 )& ( op(e0,e1) = e0| op(e1,e1) = e0| op(e2,e1) = e0| op(e3,e1) = e0| op(e4,e1) = e0 )& ( op(e1,e0) = e1| op(e1,e1) = e1| op(e1,e2) = e1| op(e1,e3) = e1| op(e1,e4) = e1 )& ( op(e0,e1) = e1| op(e1,e1) = e1| op(e2,e1) = e1| op(e3,e1) = e1| op(e4,e1) = e1 )& ( op(e1,e0) = e2| op(e1,e1) = e2| op(e1,e2) = e2| op(e1,e3) = e2| op(e1,e4) = e2 )& ( op(e0,e1) = e2| op(e1,e1) = e2| op(e2,e1) = e2| op(e3,e1) = e2| op(e4,e1) = e2 )& ( op(e1,e0) = e3| op(e1,e1) = e3| op(e1,e2) = e3| op(e1,e3) = e3| op(e1,e4) = e3 )& ( op(e0,e1) = e3| op(e1,e1) = e3| op(e2,e1) = e3| op(e3,e1) = e3| op(e4,e1) = e3 )& ( op(e1,e0) = e4| op(e1,e1) = e4| op(e1,e2) = e4| op(e1,e3) = e4| op(e1,e4) = e4 )& ( op(e0,e1) = e4| op(e1,e1) = e4| op(e2,e1) = e4| op(e3,e1) = e4| op(e4,e1) = e4 )& ( op(e2,e0) = e0| op(e2,e1) = e0| op(e2,e2) = e0| op(e2,e3) = e0| op(e2,e4) = e0 )& ( op(e0,e2) = e0| op(e1,e2) = e0| op(e2,e2) = e0| op(e3,e2) = e0| op(e4,e2) = e0 )& ( op(e2,e0) = e1| op(e2,e1) = e1| op(e2,e2) = e1| op(e2,e3) = e1| op(e2,e4) = e1 )& ( op(e0,e2) = e1| op(e1,e2) = e1| op(e2,e2) = e1| op(e3,e2) = e1| op(e4,e2) = e1 )& ( op(e2,e0) = e2| op(e2,e1) = e2| op(e2,e2) = e2| op(e2,e3) = e2| op(e2,e4) = e2 )& ( op(e0,e2) = e2| op(e1,e2) = e2| op(e2,e2) = e2| op(e3,e2) = e2| op(e4,e2) = e2 )& ( op(e2,e0) = e3| op(e2,e1) = e3| op(e2,e2) = e3| op(e2,e3) = e3| op(e2,e4) = e3 )& ( op(e0,e2) = e3| op(e1,e2) = e3| op(e2,e2) = e3| op(e3,e2) = e3| op(e4,e2) = e3 )& ( op(e2,e0) = e4| op(e2,e1) = e4| op(e2,e2) = e4| op(e2,e3) = e4| op(e2,e4) = e4 )& ( op(e0,e2) = e4| op(e1,e2) = e4| op(e2,e2) = e4| op(e3,e2) = e4| op(e4,e2) = e4 )& ( op(e3,e0) = e0| op(e3,e1) = e0| op(e3,e2) = e0| op(e3,e3) = e0| op(e3,e4) = e0 )& ( op(e0,e3) = e0| op(e1,e3) = e0| op(e2,e3) = e0| op(e3,e3) = e0| op(e4,e3) = e0 )& ( op(e3,e0) = e1| op(e3,e1) = e1| op(e3,e2) = e1| op(e3,e3) = e1| op(e3,e4) = e1 )& ( op(e0,e3) = e1| op(e1,e3) = e1| op(e2,e3) = e1| op(e3,e3) = e1| op(e4,e3) = e1 )& ( op(e3,e0) = e2| op(e3,e1) = e2| op(e3,e2) = e2| op(e3,e3) = e2| op(e3,e4) = e2 )& ( op(e0,e3) = e2| op(e1,e3) = e2| op(e2,e3) = e2| op(e3,e3) = e2| op(e4,e3) = e2 )& ( op(e3,e0) = e3| op(e3,e1) = e3| op(e3,e2) = e3| op(e3,e3) = e3| op(e3,e4) = e3 )& ( op(e0,e3) = e3| op(e1,e3) = e3| op(e2,e3) = e3| op(e3,e3) = e3| op(e4,e3) = e3 )& ( op(e3,e0) = e4| op(e3,e1) = e4| op(e3,e2) = e4| op(e3,e3) = e4| op(e3,e4) = e4 )& ( op(e0,e3) = e4| op(e1,e3) = e4| op(e2,e3) = e4| op(e3,e3) = e4| op(e4,e3) = e4 )& ( op(e4,e0) = e0| op(e4,e1) = e0| op(e4,e2) = e0| op(e4,e3) = e0| op(e4,e4) = e0 )& ( op(e0,e4) = e0| op(e1,e4) = e0| op(e2,e4) = e0| op(e3,e4) = e0| op(e4,e4) = e0 )& ( op(e4,e0) = e1| op(e4,e1) = e1| op(e4,e2) = e1| op(e4,e3) = e1| op(e4,e4) = e1 )& ( op(e0,e4) = e1| op(e1,e4) = e1| op(e2,e4) = e1| op(e3,e4) = e1| op(e4,e4) = e1 )& ( op(e4,e0) = e2| op(e4,e1) = e2| op(e4,e2) = e2| op(e4,e3) = e2| op(e4,e4) = e2 )& ( op(e0,e4) = e2| op(e1,e4) = e2| op(e2,e4) = e2| op(e3,e4) = e2| op(e4,e4) = e2 )& ( op(e4,e0) = e3| op(e4,e1) = e3| op(e4,e2) = e3| op(e4,e3) = e3| op(e4,e4) = e3 )& ( op(e0,e4) = e3| op(e1,e4) = e3| op(e2,e4) = e3| op(e3,e4) = e3| op(e4,e4) = e3 )& ( op(e4,e0) = e4| op(e4,e1) = e4| op(e4,e2) = e4| op(e4,e3) = e4| op(e4,e4) = e4 )& ( op(e0,e4) = e4| op(e1,e4) = e4| op(e2,e4) = e4| op(e3,e4) = e4| op(e4,e4) = e4 ) ) ),
% 0.14/5.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.73 fof(f4,axiom,(
% 0.14/5.73 ( op(e0,e0) != op(e1,e0)& op(e0,e0) != op(e2,e0)& op(e0,e0) != op(e3,e0)& op(e0,e0) != op(e4,e0)& op(e1,e0) != op(e2,e0)& op(e1,e0) != op(e3,e0)& op(e1,e0) != op(e4,e0)& op(e2,e0) != op(e3,e0)& op(e2,e0) != op(e4,e0)& op(e3,e0) != op(e4,e0)& op(e0,e1) != op(e1,e1)& op(e0,e1) != op(e2,e1)& op(e0,e1) != op(e3,e1)& op(e0,e1) != op(e4,e1)& op(e1,e1) != op(e2,e1)& op(e1,e1) != op(e3,e1)& op(e1,e1) != op(e4,e1)& op(e2,e1) != op(e3,e1)& op(e2,e1) != op(e4,e1)& op(e3,e1) != op(e4,e1)& op(e0,e2) != op(e1,e2)& op(e0,e2) != op(e2,e2)& op(e0,e2) != op(e3,e2)& op(e0,e2) != op(e4,e2)& op(e1,e2) != op(e2,e2)& op(e1,e2) != op(e3,e2)& op(e1,e2) != op(e4,e2)& op(e2,e2) != op(e3,e2)& op(e2,e2) != op(e4,e2)& op(e3,e2) != op(e4,e2)& op(e0,e3) != op(e1,e3)& op(e0,e3) != op(e2,e3)& op(e0,e3) != op(e3,e3)& op(e0,e3) != op(e4,e3)& op(e1,e3) != op(e2,e3)& op(e1,e3) != op(e3,e3)& op(e1,e3) != op(e4,e3)& op(e2,e3) != op(e3,e3)& op(e2,e3) != op(e4,e3)& op(e3,e3) != op(e4,e3)& op(e0,e4) != op(e1,e4)& op(e0,e4) != op(e2,e4)& op(e0,e4) != op(e3,e4)& op(e0,e4) != op(e4,e4)& op(e1,e4) != op(e2,e4)& op(e1,e4) != op(e3,e4)& op(e1,e4) != op(e4,e4)& op(e2,e4) != op(e3,e4)& op(e2,e4) != op(e4,e4)& op(e3,e4) != op(e4,e4)& op(e0,e0) != op(e0,e1)& op(e0,e0) != op(e0,e2)& op(e0,e0) != op(e0,e3)& op(e0,e0) != op(e0,e4)& op(e0,e1) != op(e0,e2)& op(e0,e1) != op(e0,e3)& op(e0,e1) != op(e0,e4)& op(e0,e2) != op(e0,e3)& op(e0,e2) != op(e0,e4)& op(e0,e3) != op(e0,e4)& op(e1,e0) != op(e1,e1)& op(e1,e0) != op(e1,e2)& op(e1,e0) != op(e1,e3)& op(e1,e0) != op(e1,e4)& op(e1,e1) != op(e1,e2)& op(e1,e1) != op(e1,e3)& op(e1,e1) != op(e1,e4)& op(e1,e2) != op(e1,e3)& op(e1,e2) != op(e1,e4)& op(e1,e3) != op(e1,e4)& op(e2,e0) != op(e2,e1)& op(e2,e0) != op(e2,e2)& op(e2,e0) != op(e2,e3)& op(e2,e0) != op(e2,e4)& op(e2,e1) != op(e2,e2)& op(e2,e1) != op(e2,e3)& op(e2,e1) != op(e2,e4)& op(e2,e2) != op(e2,e3)& op(e2,e2) != op(e2,e4)& op(e2,e3) != op(e2,e4)& op(e3,e0) != op(e3,e1)& op(e3,e0) != op(e3,e2)& op(e3,e0) != op(e3,e3)& op(e3,e0) != op(e3,e4)& op(e3,e1) != op(e3,e2)& op(e3,e1) != op(e3,e3)& op(e3,e1) != op(e3,e4)& op(e3,e2) != op(e3,e3)& op(e3,e2) != op(e3,e4)& op(e3,e3) != op(e3,e4)& op(e4,e0) != op(e4,e1)& op(e4,e0) != op(e4,e2)& op(e4,e0) != op(e4,e3)& op(e4,e0) != op(e4,e4)& op(e4,e1) != op(e4,e2)& op(e4,e1) != op(e4,e3)& op(e4,e1) != op(e4,e4)& op(e4,e2) != op(e4,e3)& op(e4,e2) != op(e4,e4)& op(e4,e3) != op(e4,e4) ) ),
% 0.14/5.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.73 fof(f5,axiom,(
% 0.14/5.73 ( e0 != e1& e0 != e2& e0 != e3& e0 != e4& e1 != e2& e1 != e3& e1 != e4& e2 != e3& e2 != e4& e3 != e4 ) ),
% 0.14/5.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.73 fof(f6,axiom,(
% 0.14/5.73 ( e0 = op(op(e2,e2),op(e2,e2))& e1 = op(op(e2,op(e2,e2)),op(e2,e2))& e3 = op(e2,op(e2,e2))& e4 = op(e2,e2) ) ),
% 0.14/5.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.73 fof(f7,conjecture,(
% 0.14/5.73 ~ ( ( ( op(e0,op(e0,e0)) != e0& op(e0,op(e0,e0)) = e0 )| ( op(e1,op(e1,e0)) != e0& op(e0,op(e1,e0)) = e1 )| ( op(e2,op(e2,e0)) != e0& op(e0,op(e2,e0)) = e2 )| ( op(e3,op(e3,e0)) != e0& op(e0,op(e3,e0)) = e3 )| ( op(e4,op(e4,e0)) != e0& op(e0,op(e4,e0)) = e4 ) )& ( ( op(e0,op(e0,e1)) != e1& op(e1,op(e0,e1)) = e0 )| ( op(e1,op(e1,e1)) != e1& op(e1,op(e1,e1)) = e1 )| ( op(e2,op(e2,e1)) != e1& op(e1,op(e2,e1)) = e2 )| ( op(e3,op(e3,e1)) != e1& op(e1,op(e3,e1)) = e3 )| ( op(e4,op(e4,e1)) != e1& op(e1,op(e4,e1)) = e4 ) )& ( ( op(e0,op(e0,e2)) != e2& op(e2,op(e0,e2)) = e0 )| ( op(e1,op(e1,e2)) != e2& op(e2,op(e1,e2)) = e1 )| ( op(e2,op(e2,e2)) != e2& op(e2,op(e2,e2)) = e2 )| ( op(e3,op(e3,e2)) != e2& op(e2,op(e3,e2)) = e3 )| ( op(e4,op(e4,e2)) != e2& op(e2,op(e4,e2)) = e4 ) )& ( ( op(e0,op(e0,e3)) != e3& op(e3,op(e0,e3)) = e0 )| ( op(e1,op(e1,e3)) != e3& op(e3,op(e1,e3)) = e1 )| ( op(e2,op(e2,e3)) != e3& op(e3,op(e2,e3)) = e2 )| ( op(e3,op(e3,e3)) != e3& op(e3,op(e3,e3)) = e3 )| ( op(e4,op(e4,e3)) != e3& op(e3,op(e4,e3)) = e4 ) )& ( ( op(e0,op(e0,e4)) != e4& op(e4,op(e0,e4)) = e0 )| ( op(e1,op(e1,e4)) != e4& op(e4,op(e1,e4)) = e1 )| ( op(e2,op(e2,e4)) != e4& op(e4,op(e2,e4)) = e2 )| ( op(e3,op(e3,e4)) != e4& op(e4,op(e3,e4)) = e3 )| ( op(e4,op(e4,e4)) != e4& op(e4,op(e4,e4)) = e4 ) )& ( ( ( op(e0,e0) != e0| ( op(e0,e0) = e0& e0 != unit ) )& ( op(e0,e1) != e0| ( op(e0,e0) = e1& e0 != unit ) )& ( op(e0,e2) != e0| ( op(e0,e0) = e2& e0 != unit ) )& ( op(e0,e3) != e0| ( op(e0,e0) = e3& e0 != unit ) )& ( op(e0,e4) != e0| ( op(e0,e0) = e4& e0 != unit ) )& ( op(e1,e0) != e0| ( op(e1,e0) = e0& e0 != unit ) )& ( op(e1,e1) != e0| ( op(e1,e0) = e1& e0 != unit ) )& ( op(e1,e2) != e0| ( op(e1,e0) = e2& e0 != unit ) )& ( op(e1,e3) != e0| ( op(e1,e0) = e3& e0 != unit ) )& ( op(e1,e4) != e0| ( op(e1,e0) = e4& e0 != unit ) )& ( op(e2,e0) != e0| ( op(e2,e0) = e0& e0 != unit ) )& ( op(e2,e1) != e0| ( op(e2,e0) = e1& e0 != unit ) )& ( op(e2,e2) != e0| ( op(e2,e0) = e2& e0 != unit ) )& ( op(e2,e3) != e0| ( op(e2,e0) = e3& e0 != unit ) )& ( op(e2,e4) != e0| ( op(e2,e0) = e4& e0 != unit ) )& ( op(e3,e0) != e0| ( op(e3,e0) = e0& e0 != unit ) )& ( op(e3,e1) != e0| ( op(e3,e0) = e1& e0 != unit ) )& ( op(e3,e2) != e0| ( op(e3,e0) = e2& e0 != unit ) )& ( op(e3,e3) != e0| ( op(e3,e0) = e3& e0 != unit ) )& ( op(e3,e4) != e0| ( op(e3,e0) = e4& e0 != unit ) )& ( op(e4,e0) != e0| ( op(e4,e0) = e0& e0 != unit ) )& ( op(e4,e1) != e0| ( op(e4,e0) = e1& e0 != unit ) )& ( op(e4,e2) != e0| ( op(e4,e0) = e2& e0 != unit ) )& ( op(e4,e3) != e0| ( op(e4,e0) = e3& e0 != unit ) )& ( op(e4,e4) != e0| ( op(e4,e0) = e4& e0 != unit ) ) )| ( ( op(e0,e0) != e1| ( op(e0,e1) = e0& e1 != unit ) )& ( op(e0,e1) != e1| ( op(e0,e1) = e1& e1 != unit ) )& ( op(e0,e2) != e1| ( op(e0,e1) = e2& e1 != unit ) )& ( op(e0,e3) != e1| ( op(e0,e1) = e3& e1 != unit ) )& ( op(e0,e4) != e1| ( op(e0,e1) = e4& e1 != unit ) )& ( op(e1,e0) != e1| ( op(e1,e1) = e0& e1 != unit ) )& ( op(e1,e1) != e1| ( op(e1,e1) = e1& e1 != unit ) )& ( op(e1,e2) != e1| ( op(e1,e1) = e2& e1 != unit ) )& ( op(e1,e3) != e1| ( op(e1,e1) = e3& e1 != unit ) )& ( op(e1,e4) != e1| ( op(e1,e1) = e4& e1 != unit ) )& ( op(e2,e0) != e1| ( op(e2,e1) = e0& e1 != unit ) )& ( op(e2,e1) != e1| ( op(e2,e1) = e1& e1 != unit ) )& ( op(e2,e2) != e1| ( op(e2,e1) = e2& e1 != unit ) )& ( op(e2,e3) != e1| ( op(e2,e1) = e3& e1 != unit ) )& ( op(e2,e4) != e1| ( op(e2,e1) = e4& e1 != unit ) )& ( op(e3,e0) != e1| ( op(e3,e1) = e0& e1 != unit ) )& ( op(e3,e1) != e1| ( op(e3,e1) = e1& e1 != unit ) )& ( op(e3,e2) != e1| ( op(e3,e1) = e2& e1 != unit ) )& ( op(e3,e3) != e1| ( op(e3,e1) = e3& e1 != unit ) )& ( op(e3,e4) != e1| ( op(e3,e1) = e4& e1 != unit ) )& ( op(e4,e0) != e1| ( op(e4,e1) = e0& e1 != unit ) )& ( op(e4,e1) != e1| ( op(e4,e1) = e1& e1 != unit ) )& ( op(e4,e2) != e1| ( op(e4,e1) = e2& e1 != unit ) )& ( op(e4,e3) != e1| ( op(e4,e1) = e3& e1 != unit ) )& ( op(e4,e4) != e1| ( op(e4,e1) = e4& e1 != unit ) ) )| ( ( op(e0,e0) != e2| ( op(e0,e2) = e0& e2 != unit ) )& ( op(e0,e1) != e2| ( op(e0,e2) = e1& e2 != unit ) )& ( op(e0,e2) != e2| ( op(e0,e2) = e2& e2 != unit ) )& ( op(e0,e3) != e2| ( op(e0,e2) = e3& e2 != unit ) )& ( op(e0,e4) != e2| ( op(e0,e2) = e4& e2 != unit ) )& ( op(e1,e0) != e2| ( op(e1,e2) = e0& e2 != unit ) )& ( op(e1,e1) != e2| ( op(e1,e2) = e1& e2 != unit ) )& ( op(e1,e2) != e2| ( op(e1,e2) = e2& e2 != unit ) )& ( op(e1,e3) != e2| ( op(e1,e2) = e3& e2 != unit ) )& ( op(e1,e4) != e2| ( op(e1,e2) = e4& e2 != unit ) )& ( op(e2,e0) != e2| ( op(e2,e2) = e0& e2 != unit ) )& ( op(e2,e1) != e2| ( op(e2,e2) = e1& e2 != unit ) )& ( op(e2,e2) != e2| ( op(e2,e2) = e2& e2 != unit ) )& ( op(e2,e3) != e2| ( op(e2,e2) = e3& e2 != unit ) )& ( op(e2,e4) != e2| ( op(e2,e2) = e4& e2 != unit ) )& ( op(e3,e0) != e2| ( op(e3,e2) = e0& e2 != unit ) )& ( op(e3,e1) != e2| ( op(e3,e2) = e1& e2 != unit ) )& ( op(e3,e2) != e2| ( op(e3,e2) = e2& e2 != unit ) )& ( op(e3,e3) != e2| ( op(e3,e2) = e3& e2 != unit ) )& ( op(e3,e4) != e2| ( op(e3,e2) = e4& e2 != unit ) )& ( op(e4,e0) != e2| ( op(e4,e2) = e0& e2 != unit ) )& ( op(e4,e1) != e2| ( op(e4,e2) = e1& e2 != unit ) )& ( op(e4,e2) != e2| ( op(e4,e2) = e2& e2 != unit ) )& ( op(e4,e3) != e2| ( op(e4,e2) = e3& e2 != unit ) )& ( op(e4,e4) != e2| ( op(e4,e2) = e4& e2 != unit ) ) )| ( ( op(e0,e0) != e3| ( op(e0,e3) = e0& e3 != unit ) )& ( op(e0,e1) != e3| ( op(e0,e3) = e1& e3 != unit ) )& ( op(e0,e2) != e3| ( op(e0,e3) = e2& e3 != unit ) )& ( op(e0,e3) != e3| ( op(e0,e3) = e3& e3 != unit ) )& ( op(e0,e4) != e3| ( op(e0,e3) = e4& e3 != unit ) )& ( op(e1,e0) != e3| ( op(e1,e3) = e0& e3 != unit ) )& ( op(e1,e1) != e3| ( op(e1,e3) = e1& e3 != unit ) )& ( op(e1,e2) != e3| ( op(e1,e3) = e2& e3 != unit ) )& ( op(e1,e3) != e3| ( op(e1,e3) = e3& e3 != unit ) )& ( op(e1,e4) != e3| ( op(e1,e3) = e4& e3 != unit ) )& ( op(e2,e0) != e3| ( op(e2,e3) = e0& e3 != unit ) )& ( op(e2,e1) != e3| ( op(e2,e3) = e1& e3 != unit ) )& ( op(e2,e2) != e3| ( op(e2,e3) = e2& e3 != unit ) )& ( op(e2,e3) != e3| ( op(e2,e3) = e3& e3 != unit ) )& ( op(e2,e4) != e3| ( op(e2,e3) = e4& e3 != unit ) )& ( op(e3,e0) != e3| ( op(e3,e3) = e0& e3 != unit ) )& ( op(e3,e1) != e3| ( op(e3,e3) = e1& e3 != unit ) )& ( op(e3,e2) != e3| ( op(e3,e3) = e2& e3 != unit ) )& ( op(e3,e3) != e3| ( op(e3,e3) = e3& e3 != unit ) )& ( op(e3,e4) != e3| ( op(e3,e3) = e4& e3 != unit ) )& ( op(e4,e0) != e3| ( op(e4,e3) = e0& e3 != unit ) )& ( op(e4,e1) != e3| ( op(e4,e3) = e1& e3 != unit ) )& ( op(e4,e2) != e3| ( op(e4,e3) = e2& e3 != unit ) )& ( op(e4,e3) != e3| ( op(e4,e3) = e3& e3 != unit ) )& ( op(e4,e4) != e3| ( op(e4,e3) = e4& e3 != unit ) ) )| ( ( op(e0,e0) != e4| ( op(e0,e4) = e0& e4 != unit ) )& ( op(e0,e1) != e4| ( op(e0,e4) = e1& e4 != unit ) )& ( op(e0,e2) != e4| ( op(e0,e4) = e2& e4 != unit ) )& ( op(e0,e3) != e4| ( op(e0,e4) = e3& e4 != unit ) )& ( op(e0,e4) != e4| ( op(e0,e4) = e4& e4 != unit ) )& ( op(e1,e0) != e4| ( op(e1,e4) = e0& e4 != unit ) )& ( op(e1,e1) != e4| ( op(e1,e4) = e1& e4 != unit ) )& ( op(e1,e2) != e4| ( op(e1,e4) = e2& e4 != unit ) )& ( op(e1,e3) != e4| ( op(e1,e4) = e3& e4 != unit ) )& ( op(e1,e4) != e4| ( op(e1,e4) = e4& e4 != unit ) )& ( op(e2,e0) != e4| ( op(e2,e4) = e0& e4 != unit ) )& ( op(e2,e1) != e4| ( op(e2,e4) = e1& e4 != unit ) )& ( op(e2,e2) != e4| ( op(e2,e4) = e2& e4 != unit ) )& ( op(e2,e3) != e4| ( op(e2,e4) = e3& e4 != unit ) )& ( op(e2,e4) != e4| ( op(e2,e4) = e4& e4 != unit ) )& ( op(e3,e0) != e4| ( op(e3,e4) = e0& e4 != unit ) )& ( op(e3,e1) != e4| ( op(e3,e4) = e1& e4 != unit ) )& ( op(e3,e2) != e4| ( op(e3,e4) = e2& e4 != unit ) )& ( op(e3,e3) != e4| ( op(e3,e4) = e3& e4 != unit ) )& ( op(e3,e4) != e4| ( op(e3,e4) = e4& e4 != unit ) )& ( op(e4,e0) != e4| ( op(e4,e4) = e0& e4 != unit ) )& ( op(e4,e1) != e4| ( op(e4,e4) = e1& e4 != unit ) )& ( op(e4,e2) != e4| ( op(e4,e4) = e2& e4 != unit ) )& ( op(e4,e3) != e4| ( op(e4,e4) = e3& e4 != unit ) )& ( op(e4,e4) != e4| ( op(e4,e4) = e4& e4 != unit ) ) ) ) ) ),
% 0.14/5.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.73 fof(f8,negated_conjecture,(
% 0.14/5.73 ~(~ ( ( ( op(e0,op(e0,e0)) != e0& op(e0,op(e0,e0)) = e0 )| ( op(e1,op(e1,e0)) != e0& op(e0,op(e1,e0)) = e1 )| ( op(e2,op(e2,e0)) != e0& op(e0,op(e2,e0)) = e2 )| ( op(e3,op(e3,e0)) != e0& op(e0,op(e3,e0)) = e3 )| ( op(e4,op(e4,e0)) != e0& op(e0,op(e4,e0)) = e4 ) )& ( ( op(e0,op(e0,e1)) != e1& op(e1,op(e0,e1)) = e0 )| ( op(e1,op(e1,e1)) != e1& op(e1,op(e1,e1)) = e1 )| ( op(e2,op(e2,e1)) != e1& op(e1,op(e2,e1)) = e2 )| ( op(e3,op(e3,e1)) != e1& op(e1,op(e3,e1)) = e3 )| ( op(e4,op(e4,e1)) != e1& op(e1,op(e4,e1)) = e4 ) )& ( ( op(e0,op(e0,e2)) != e2& op(e2,op(e0,e2)) = e0 )| ( op(e1,op(e1,e2)) != e2& op(e2,op(e1,e2)) = e1 )| ( op(e2,op(e2,e2)) != e2& op(e2,op(e2,e2)) = e2 )| ( op(e3,op(e3,e2)) != e2& op(e2,op(e3,e2)) = e3 )| ( op(e4,op(e4,e2)) != e2& op(e2,op(e4,e2)) = e4 ) )& ( ( op(e0,op(e0,e3)) != e3& op(e3,op(e0,e3)) = e0 )| ( op(e1,op(e1,e3)) != e3& op(e3,op(e1,e3)) = e1 )| ( op(e2,op(e2,e3)) != e3& op(e3,op(e2,e3)) = e2 )| ( op(e3,op(e3,e3)) != e3& op(e3,op(e3,e3)) = e3 )| ( op(e4,op(e4,e3)) != e3& op(e3,op(e4,e3)) = e4 ) )& ( ( op(e0,op(e0,e4)) != e4& op(e4,op(e0,e4)) = e0 )| ( op(e1,op(e1,e4)) != e4& op(e4,op(e1,e4)) = e1 )| ( op(e2,op(e2,e4)) != e4& op(e4,op(e2,e4)) = e2 )| ( op(e3,op(e3,e4)) != e4& op(e4,op(e3,e4)) = e3 )| ( op(e4,op(e4,e4)) != e4& op(e4,op(e4,e4)) = e4 ) )& ( ( ( op(e0,e0) != e0| ( op(e0,e0) = e0& e0 != unit ) )& ( op(e0,e1) != e0| ( op(e0,e0) = e1& e0 != unit ) )& ( op(e0,e2) != e0| ( op(e0,e0) = e2& e0 != unit ) )& ( op(e0,e3) != e0| ( op(e0,e0) = e3& e0 != unit ) )& ( op(e0,e4) != e0| ( op(e0,e0) = e4& e0 != unit ) )& ( op(e1,e0) != e0| ( op(e1,e0) = e0& e0 != unit ) )& ( op(e1,e1) != e0| ( op(e1,e0) = e1& e0 != unit ) )& ( op(e1,e2) != e0| ( op(e1,e0) = e2& e0 != unit ) )& ( op(e1,e3) != e0| ( op(e1,e0) = e3& e0 != unit ) )& ( op(e1,e4) != e0| ( op(e1,e0) = e4& e0 != unit ) )& ( op(e2,e0) != e0| ( op(e2,e0) = e0& e0 != unit ) )& ( op(e2,e1) != e0| ( op(e2,e0) = e1& e0 != unit ) )& ( op(e2,e2) != e0| ( op(e2,e0) = e2& e0 != unit ) )& ( op(e2,e3) != e0| ( op(e2,e0) = e3& e0 != unit ) )& ( op(e2,e4) != e0| ( op(e2,e0) = e4& e0 != unit ) )& ( op(e3,e0) != e0| ( op(e3,e0) = e0& e0 != unit ) )& ( op(e3,e1) != e0| ( op(e3,e0) = e1& e0 != unit ) )& ( op(e3,e2) != e0| ( op(e3,e0) = e2& e0 != unit ) )& ( op(e3,e3) != e0| ( op(e3,e0) = e3& e0 != unit ) )& ( op(e3,e4) != e0| ( op(e3,e0) = e4& e0 != unit ) )& ( op(e4,e0) != e0| ( op(e4,e0) = e0& e0 != unit ) )& ( op(e4,e1) != e0| ( op(e4,e0) = e1& e0 != unit ) )& ( op(e4,e2) != e0| ( op(e4,e0) = e2& e0 != unit ) )& ( op(e4,e3) != e0| ( op(e4,e0) = e3& e0 != unit ) )& ( op(e4,e4) != e0| ( op(e4,e0) = e4& e0 != unit ) ) )| ( ( op(e0,e0) != e1| ( op(e0,e1) = e0& e1 != unit ) )& ( op(e0,e1) != e1| ( op(e0,e1) = e1& e1 != unit ) )& ( op(e0,e2) != e1| ( op(e0,e1) = e2& e1 != unit ) )& ( op(e0,e3) != e1| ( op(e0,e1) = e3& e1 != unit ) )& ( op(e0,e4) != e1| ( op(e0,e1) = e4& e1 != unit ) )& ( op(e1,e0) != e1| ( op(e1,e1) = e0& e1 != unit ) )& ( op(e1,e1) != e1| ( op(e1,e1) = e1& e1 != unit ) )& ( op(e1,e2) != e1| ( op(e1,e1) = e2& e1 != unit ) )& ( op(e1,e3) != e1| ( op(e1,e1) = e3& e1 != unit ) )& ( op(e1,e4) != e1| ( op(e1,e1) = e4& e1 != unit ) )& ( op(e2,e0) != e1| ( op(e2,e1) = e0& e1 != unit ) )& ( op(e2,e1) != e1| ( op(e2,e1) = e1& e1 != unit ) )& ( op(e2,e2) != e1| ( op(e2,e1) = e2& e1 != unit ) )& ( op(e2,e3) != e1| ( op(e2,e1) = e3& e1 != unit ) )& ( op(e2,e4) != e1| ( op(e2,e1) = e4& e1 != unit ) )& ( op(e3,e0) != e1| ( op(e3,e1) = e0& e1 != unit ) )& ( op(e3,e1) != e1| ( op(e3,e1) = e1& e1 != unit ) )& ( op(e3,e2) != e1| ( op(e3,e1) = e2& e1 != unit ) )& ( op(e3,e3) != e1| ( op(e3,e1) = e3& e1 != unit ) )& ( op(e3,e4) != e1| ( op(e3,e1) = e4& e1 != unit ) )& ( op(e4,e0) != e1| ( op(e4,e1) = e0& e1 != unit ) )& ( op(e4,e1) != e1| ( op(e4,e1) = e1& e1 != unit ) )& ( op(e4,e2) != e1| ( op(e4,e1) = e2& e1 != unit ) )& ( op(e4,e3) != e1| ( op(e4,e1) = e3& e1 != unit ) )& ( op(e4,e4) != e1| ( op(e4,e1) = e4& e1 != unit ) ) )| ( ( op(e0,e0) != e2| ( op(e0,e2) = e0& e2 != unit ) )& ( op(e0,e1) != e2| ( op(e0,e2) = e1& e2 != unit ) )& ( op(e0,e2) != e2| ( op(e0,e2) = e2& e2 != unit ) )& ( op(e0,e3) != e2| ( op(e0,e2) = e3& e2 != unit ) )& ( op(e0,e4) != e2| ( op(e0,e2) = e4& e2 != unit ) )& ( op(e1,e0) != e2| ( op(e1,e2) = e0& e2 != unit ) )& ( op(e1,e1) != e2| ( op(e1,e2) = e1& e2 != unit ) )& ( op(e1,e2) != e2| ( op(e1,e2) = e2& e2 != unit ) )& ( op(e1,e3) != e2| ( op(e1,e2) = e3& e2 != unit ) )& ( op(e1,e4) != e2| ( op(e1,e2) = e4& e2 != unit ) )& ( op(e2,e0) != e2| ( op(e2,e2) = e0& e2 != unit ) )& ( op(e2,e1) != e2| ( op(e2,e2) = e1& e2 != unit ) )& ( op(e2,e2) != e2| ( op(e2,e2) = e2& e2 != unit ) )& ( op(e2,e3) != e2| ( op(e2,e2) = e3& e2 != unit ) )& ( op(e2,e4) != e2| ( op(e2,e2) = e4& e2 != unit ) )& ( op(e3,e0) != e2| ( op(e3,e2) = e0& e2 != unit ) )& ( op(e3,e1) != e2| ( op(e3,e2) = e1& e2 != unit ) )& ( op(e3,e2) != e2| ( op(e3,e2) = e2& e2 != unit ) )& ( op(e3,e3) != e2| ( op(e3,e2) = e3& e2 != unit ) )& ( op(e3,e4) != e2| ( op(e3,e2) = e4& e2 != unit ) )& ( op(e4,e0) != e2| ( op(e4,e2) = e0& e2 != unit ) )& ( op(e4,e1) != e2| ( op(e4,e2) = e1& e2 != unit ) )& ( op(e4,e2) != e2| ( op(e4,e2) = e2& e2 != unit ) )& ( op(e4,e3) != e2| ( op(e4,e2) = e3& e2 != unit ) )& ( op(e4,e4) != e2| ( op(e4,e2) = e4& e2 != unit ) ) )| ( ( op(e0,e0) != e3| ( op(e0,e3) = e0& e3 != unit ) )& ( op(e0,e1) != e3| ( op(e0,e3) = e1& e3 != unit ) )& ( op(e0,e2) != e3| ( op(e0,e3) = e2& e3 != unit ) )& ( op(e0,e3) != e3| ( op(e0,e3) = e3& e3 != unit ) )& ( op(e0,e4) != e3| ( op(e0,e3) = e4& e3 != unit ) )& ( op(e1,e0) != e3| ( op(e1,e3) = e0& e3 != unit ) )& ( op(e1,e1) != e3| ( op(e1,e3) = e1& e3 != unit ) )& ( op(e1,e2) != e3| ( op(e1,e3) = e2& e3 != unit ) )& ( op(e1,e3) != e3| ( op(e1,e3) = e3& e3 != unit ) )& ( op(e1,e4) != e3| ( op(e1,e3) = e4& e3 != unit ) )& ( op(e2,e0) != e3| ( op(e2,e3) = e0& e3 != unit ) )& ( op(e2,e1) != e3| ( op(e2,e3) = e1& e3 != unit ) )& ( op(e2,e2) != e3| ( op(e2,e3) = e2& e3 != unit ) )& ( op(e2,e3) != e3| ( op(e2,e3) = e3& e3 != unit ) )& ( op(e2,e4) != e3| ( op(e2,e3) = e4& e3 != unit ) )& ( op(e3,e0) != e3| ( op(e3,e3) = e0& e3 != unit ) )& ( op(e3,e1) != e3| ( op(e3,e3) = e1& e3 != unit ) )& ( op(e3,e2) != e3| ( op(e3,e3) = e2& e3 != unit ) )& ( op(e3,e3) != e3| ( op(e3,e3) = e3& e3 != unit ) )& ( op(e3,e4) != e3| ( op(e3,e3) = e4& e3 != unit ) )& ( op(e4,e0) != e3| ( op(e4,e3) = e0& e3 != unit ) )& ( op(e4,e1) != e3| ( op(e4,e3) = e1& e3 != unit ) )& ( op(e4,e2) != e3| ( op(e4,e3) = e2& e3 != unit ) )& ( op(e4,e3) != e3| ( op(e4,e3) = e3& e3 != unit ) )& ( op(e4,e4) != e3| ( op(e4,e3) = e4& e3 != unit ) ) )| ( ( op(e0,e0) != e4| ( op(e0,e4) = e0& e4 != unit ) )& ( op(e0,e1) != e4| ( op(e0,e4) = e1& e4 != unit ) )& ( op(e0,e2) != e4| ( op(e0,e4) = e2& e4 != unit ) )& ( op(e0,e3) != e4| ( op(e0,e4) = e3& e4 != unit ) )& ( op(e0,e4) != e4| ( op(e0,e4) = e4& e4 != unit ) )& ( op(e1,e0) != e4| ( op(e1,e4) = e0& e4 != unit ) )& ( op(e1,e1) != e4| ( op(e1,e4) = e1& e4 != unit ) )& ( op(e1,e2) != e4| ( op(e1,e4) = e2& e4 != unit ) )& ( op(e1,e3) != e4| ( op(e1,e4) = e3& e4 != unit ) )& ( op(e1,e4) != e4| ( op(e1,e4) = e4& e4 != unit ) )& ( op(e2,e0) != e4| ( op(e2,e4) = e0& e4 != unit ) )& ( op(e2,e1) != e4| ( op(e2,e4) = e1& e4 != unit ) )& ( op(e2,e2) != e4| ( op(e2,e4) = e2& e4 != unit ) )& ( op(e2,e3) != e4| ( op(e2,e4) = e3& e4 != unit ) )& ( op(e2,e4) != e4| ( op(e2,e4) = e4& e4 != unit ) )& ( op(e3,e0) != e4| ( op(e3,e4) = e0& e4 != unit ) )& ( op(e3,e1) != e4| ( op(e3,e4) = e1& e4 != unit ) )& ( op(e3,e2) != e4| ( op(e3,e4) = e2& e4 != unit ) )& ( op(e3,e3) != e4| ( op(e3,e4) = e3& e4 != unit ) )& ( op(e3,e4) != e4| ( op(e3,e4) = e4& e4 != unit ) )& ( op(e4,e0) != e4| ( op(e4,e4) = e0& e4 != unit ) )& ( op(e4,e1) != e4| ( op(e4,e4) = e1& e4 != unit ) )& ( op(e4,e2) != e4| ( op(e4,e4) = e2& e4 != unit ) )& ( op(e4,e3) != e4| ( op(e4,e4) = e3& e4 != unit ) )& ( op(e4,e4) != e4| ( op(e4,e4) = e4& e4 != unit ) ) ) ) ) )),
% 0.14/5.73 inference(negated_conjecture,[status(cth)],[f7])).
% 0.14/5.73 fof(f11,plain,(
% 0.14/5.73 op(e0,e2)=e0|op(e0,e2)=e1|op(e0,e2)=e2|op(e0,e2)=e3|op(e0,e2)=e4),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.73 fof(f13,plain,(
% 0.14/5.73 op(e0,e4)=e0|op(e0,e4)=e1|op(e0,e4)=e2|op(e0,e4)=e3|op(e0,e4)=e4),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.73 fof(f18,plain,(
% 0.14/5.73 op(e1,e4)=e0|op(e1,e4)=e1|op(e1,e4)=e2|op(e1,e4)=e3|op(e1,e4)=e4),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.73 fof(f20,plain,(
% 0.14/5.73 op(e2,e1)=e0|op(e2,e1)=e1|op(e2,e1)=e2|op(e2,e1)=e3|op(e2,e1)=e4),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.73 fof(f22,plain,(
% 0.14/5.73 op(e2,e3)=e0|op(e2,e3)=e1|op(e2,e3)=e2|op(e2,e3)=e3|op(e2,e3)=e4),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.73 fof(f33,plain,(
% 0.14/5.73 op(e4,e4)=e0|op(e4,e4)=e1|op(e4,e4)=e2|op(e4,e4)=e3|op(e4,e4)=e4),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.73 fof(f36,plain,(
% 0.14/5.73 op(unit,e1)=e1),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.73 fof(f37,plain,(
% 0.14/5.73 op(e1,unit)=e1),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.73 fof(f39,plain,(
% 0.14/5.73 op(e2,unit)=e2),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.73 fof(f40,plain,(
% 0.14/5.73 op(unit,e3)=e3),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.73 fof(f41,plain,(
% 0.14/5.73 op(e3,unit)=e3),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.73 fof(f42,plain,(
% 0.14/5.73 op(unit,e4)=e4),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.73 fof(f43,plain,(
% 0.14/5.73 op(e4,unit)=e4),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.73 fof(f44,plain,(
% 0.14/5.73 unit=e0|unit=e1|unit=e2|unit=e3|unit=e4),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.73 fof(f45,plain,(
% 0.14/5.73 op(e0,e0)=e0|op(e0,e1)=e0|op(e0,e2)=e0|op(e0,e3)=e0|op(e0,e4)=e0),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.73 fof(f47,plain,(
% 0.14/5.73 op(e0,e0)=e1|op(e0,e1)=e1|op(e0,e2)=e1|op(e0,e3)=e1|op(e0,e4)=e1),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.73 fof(f49,plain,(
% 0.14/5.73 op(e0,e0)=e2|op(e0,e1)=e2|op(e0,e2)=e2|op(e0,e3)=e2|op(e0,e4)=e2),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.73 fof(f55,plain,(
% 0.14/5.73 op(e1,e0)=e0|op(e1,e1)=e0|op(e1,e2)=e0|op(e1,e3)=e0|op(e1,e4)=e0),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.73 fof(f65,plain,(
% 0.14/5.73 op(e2,e0)=e0|op(e2,e1)=e0|op(e2,e2)=e0|op(e2,e3)=e0|op(e2,e4)=e0),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.73 fof(f67,plain,(
% 0.14/5.73 op(e2,e0)=e1|op(e2,e1)=e1|op(e2,e2)=e1|op(e2,e3)=e1|op(e2,e4)=e1),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.73 fof(f86,plain,(
% 0.14/5.73 op(e0,e4)=e0|op(e1,e4)=e0|op(e2,e4)=e0|op(e3,e4)=e0|op(e4,e4)=e0),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.73 fof(f90,plain,(
% 0.14/5.73 op(e0,e4)=e2|op(e1,e4)=e2|op(e2,e4)=e2|op(e3,e4)=e2|op(e4,e4)=e2),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.73 fof(f95,plain,(
% 0.14/5.73 ~op(e0,e0)=op(e1,e0)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f97,plain,(
% 0.14/5.73 ~op(e0,e0)=op(e3,e0)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f106,plain,(
% 0.14/5.73 ~op(e0,e1)=op(e2,e1)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f107,plain,(
% 0.14/5.73 ~op(e0,e1)=op(e3,e1)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f109,plain,(
% 0.14/5.73 ~op(e1,e1)=op(e2,e1)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f110,plain,(
% 0.14/5.73 ~op(e1,e1)=op(e3,e1)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f112,plain,(
% 0.14/5.73 ~op(e2,e1)=op(e3,e1)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f113,plain,(
% 0.14/5.73 ~op(e2,e1)=op(e4,e1)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f114,plain,(
% 0.14/5.73 ~op(e3,e1)=op(e4,e1)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f115,plain,(
% 0.14/5.73 ~op(e0,e2)=op(e1,e2)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f116,plain,(
% 0.14/5.73 ~op(e0,e2)=op(e2,e2)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f117,plain,(
% 0.14/5.73 ~op(e0,e2)=op(e3,e2)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f118,plain,(
% 0.14/5.73 ~op(e0,e2)=op(e4,e2)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f119,plain,(
% 0.14/5.73 ~op(e1,e2)=op(e2,e2)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f121,plain,(
% 0.14/5.73 ~op(e1,e2)=op(e4,e2)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f122,plain,(
% 0.14/5.73 ~op(e2,e2)=op(e3,e2)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f124,plain,(
% 0.14/5.73 ~op(e3,e2)=op(e4,e2)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f135,plain,(
% 0.14/5.73 ~op(e0,e4)=op(e1,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f137,plain,(
% 0.14/5.73 ~op(e0,e4)=op(e3,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f138,plain,(
% 0.14/5.73 ~op(e0,e4)=op(e4,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f139,plain,(
% 0.14/5.73 ~op(e1,e4)=op(e2,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f140,plain,(
% 0.14/5.73 ~op(e1,e4)=op(e3,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f141,plain,(
% 0.14/5.73 ~op(e1,e4)=op(e4,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f143,plain,(
% 0.14/5.73 ~op(e2,e4)=op(e4,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f149,plain,(
% 0.14/5.73 ~op(e0,e1)=op(e0,e2)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f151,plain,(
% 0.14/5.73 ~op(e0,e1)=op(e0,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f152,plain,(
% 0.14/5.73 ~op(e0,e2)=op(e0,e3)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f153,plain,(
% 0.14/5.73 ~op(e0,e2)=op(e0,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f154,plain,(
% 0.14/5.73 ~op(e0,e3)=op(e0,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f155,plain,(
% 0.14/5.73 ~op(e1,e0)=op(e1,e1)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f156,plain,(
% 0.14/5.73 ~op(e1,e0)=op(e1,e2)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f159,plain,(
% 0.14/5.73 ~op(e1,e1)=op(e1,e2)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f160,plain,(
% 0.14/5.73 ~op(e1,e1)=op(e1,e3)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f161,plain,(
% 0.14/5.73 ~op(e1,e1)=op(e1,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f162,plain,(
% 0.14/5.73 ~op(e1,e2)=op(e1,e3)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f164,plain,(
% 0.14/5.73 ~op(e1,e3)=op(e1,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f167,plain,(
% 0.14/5.73 ~op(e2,e0)=op(e2,e3)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f168,plain,(
% 0.14/5.73 ~op(e2,e0)=op(e2,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f170,plain,(
% 0.14/5.73 ~op(e2,e1)=op(e2,e3)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f171,plain,(
% 0.14/5.73 ~op(e2,e1)=op(e2,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f172,plain,(
% 0.14/5.73 ~op(e2,e2)=op(e2,e3)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f173,plain,(
% 0.14/5.73 ~op(e2,e2)=op(e2,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f174,plain,(
% 0.14/5.73 ~op(e2,e3)=op(e2,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f178,plain,(
% 0.14/5.73 ~op(e3,e0)=op(e3,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f181,plain,(
% 0.14/5.73 ~op(e3,e1)=op(e3,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f185,plain,(
% 0.14/5.73 ~op(e4,e0)=op(e4,e1)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f193,plain,(
% 0.14/5.73 ~op(e4,e2)=op(e4,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f194,plain,(
% 0.14/5.73 ~op(e4,e3)=op(e4,e4)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.73 fof(f195,plain,(
% 0.14/5.73 ~e0=e1),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.73 fof(f196,plain,(
% 0.14/5.73 ~e0=e2),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.73 fof(f198,plain,(
% 0.14/5.73 ~e0=e4),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.73 fof(f199,plain,(
% 0.14/5.73 ~e1=e2),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.73 fof(f200,plain,(
% 0.14/5.73 ~e1=e3),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.73 fof(f201,plain,(
% 0.14/5.73 ~e1=e4),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.73 fof(f202,plain,(
% 0.14/5.73 ~e2=e3),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.73 fof(f203,plain,(
% 0.14/5.73 ~e2=e4),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.73 fof(f204,plain,(
% 0.14/5.73 ~e3=e4),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.73 fof(f205,plain,(
% 0.14/5.73 e0=op(op(e2,e2),op(e2,e2))),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/5.73 fof(f206,plain,(
% 0.14/5.73 e1=op(op(e2,op(e2,e2)),op(e2,e2))),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/5.73 fof(f207,plain,(
% 0.14/5.73 e3=op(e2,op(e2,e2))),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/5.73 fof(f208,plain,(
% 0.14/5.73 e4=op(e2,e2)),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/5.73 fof(f209,definition,(
% 0.14/5.73 sP0_prd<=>((((~op(e0,op(e0,e0))=e0&op(e0,op(e0,e0))=e0)|(~op(e1,op(e1,e0))=e0&op(e0,op(e1,e0))=e1))|(~op(e2,op(e2,e0))=e0&op(e0,op(e2,e0))=e2))|(~op(e3,op(e3,e0))=e0&op(e0,op(e3,e0))=e3))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.14/5.73 fof(f210,definition,(
% 0.14/5.73 sP1_prd<=>((((~op(e0,op(e0,e1))=e1&op(e1,op(e0,e1))=e0)|(~op(e1,op(e1,e1))=e1&op(e1,op(e1,e1))=e1))|(~op(e2,op(e2,e1))=e1&op(e1,op(e2,e1))=e2))|(~op(e3,op(e3,e1))=e1&op(e1,op(e3,e1))=e3))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.14/5.73 fof(f211,definition,(
% 0.14/5.73 sP2_prd<=>((((~op(e0,op(e0,e2))=e2&op(e2,op(e0,e2))=e0)|(~op(e1,op(e1,e2))=e2&op(e2,op(e1,e2))=e1))|(~op(e2,op(e2,e2))=e2&op(e2,op(e2,e2))=e2))|(~op(e3,op(e3,e2))=e2&op(e2,op(e3,e2))=e3))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.14/5.73 fof(f212,definition,(
% 0.14/5.73 sP3_prd<=>((((~op(e0,op(e0,e3))=e3&op(e3,op(e0,e3))=e0)|(~op(e1,op(e1,e3))=e3&op(e3,op(e1,e3))=e1))|(~op(e2,op(e2,e3))=e3&op(e3,op(e2,e3))=e2))|(~op(e3,op(e3,e3))=e3&op(e3,op(e3,e3))=e3))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.14/5.73 fof(f213,definition,(
% 0.14/5.73 sP4_prd<=>((((~op(e0,op(e0,e4))=e4&op(e4,op(e0,e4))=e0)|(~op(e1,op(e1,e4))=e4&op(e4,op(e1,e4))=e1))|(~op(e2,op(e2,e4))=e4&op(e4,op(e2,e4))=e2))|(~op(e3,op(e3,e4))=e4&op(e4,op(e3,e4))=e3))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 0.14/5.73 fof(f214,definition,(
% 0.14/5.73 sP5_prd<=>((((((((((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit)))&(~op(e4,e3)=e0|(op(e4,e0)=e3&~e0=unit)))&(~op(e4,e4)=e0|(op(e4,e0)=e4&~e0=unit)))|(((((((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit)))&(~op(e4,e3)=e1|(op(e4,e1)=e3&~e1=unit)))&(~op(e4,e4)=e1|(op(e4,e1)=e4&~e1=unit))))|(((((((((((((((((((((((((~op(e0,e0)=e2|(op(e0,e2)=e0&~e2=unit))&(~op(e0,e1)=e2|(op(e0,e2)=e1&~e2=unit)))&(~op(e0,e2)=e2|(op(e0,e2)=e2&~e2=unit)))&(~op(e0,e3)=e2|(op(e0,e2)=e3&~e2=unit)))&(~op(e0,e4)=e2|(op(e0,e2)=e4&~e2=unit)))&(~op(e1,e0)=e2|(op(e1,e2)=e0&~e2=unit)))&(~op(e1,e1)=e2|(op(e1,e2)=e1&~e2=unit)))&(~op(e1,e2)=e2|(op(e1,e2)=e2&~e2=unit)))&(~op(e1,e3)=e2|(op(e1,e2)=e3&~e2=unit)))&(~op(e1,e4)=e2|(op(e1,e2)=e4&~e2=unit)))&(~op(e2,e0)=e2|(op(e2,e2)=e0&~e2=unit)))&(~op(e2,e1)=e2|(op(e2,e2)=e1&~e2=unit)))&(~op(e2,e2)=e2|(op(e2,e2)=e2&~e2=unit)))&(~op(e2,e3)=e2|(op(e2,e2)=e3&~e2=unit)))&(~op(e2,e4)=e2|(op(e2,e2)=e4&~e2=unit)))&(~op(e3,e0)=e2|(op(e3,e2)=e0&~e2=unit)))&(~op(e3,e1)=e2|(op(e3,e2)=e1&~e2=unit)))&(~op(e3,e2)=e2|(op(e3,e2)=e2&~e2=unit)))&(~op(e3,e3)=e2|(op(e3,e2)=e3&~e2=unit)))&(~op(e3,e4)=e2|(op(e3,e2)=e4&~e2=unit)))&(~op(e4,e0)=e2|(op(e4,e2)=e0&~e2=unit)))&(~op(e4,e1)=e2|(op(e4,e2)=e1&~e2=unit)))&(~op(e4,e2)=e2|(op(e4,e2)=e2&~e2=unit)))&(~op(e4,e3)=e2|(op(e4,e2)=e3&~e2=unit)))&(~op(e4,e4)=e2|(op(e4,e2)=e4&~e2=unit))))|(((((((((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit)))&(~op(e4,e1)=e3|(op(e4,e3)=e1&~e3=unit)))&(~op(e4,e2)=e3|(op(e4,e3)=e2&~e3=unit)))&(~op(e4,e3)=e3|(op(e4,e3)=e3&~e3=unit)))&(~op(e4,e4)=e3|(op(e4,e3)=e4&~e3=unit))))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 0.14/5.73 fof(f215,plain,(
% 0.14/5.73 (((((sP0_prd|(~op(e4,op(e4,e0))=e0&op(e0,op(e4,e0))=e4))&(sP1_prd|(~op(e4,op(e4,e1))=e1&op(e1,op(e4,e1))=e4)))&(sP2_prd|(~op(e4,op(e4,e2))=e2&op(e2,op(e4,e2))=e4)))&(sP3_prd|(~op(e4,op(e4,e3))=e3&op(e3,op(e4,e3))=e4)))&(sP4_prd|(~op(e4,op(e4,e4))=e4&op(e4,op(e4,e4))=e4)))&(sP5_prd|(((((((((((((((((((((((((~op(e0,e0)=e4|(op(e0,e4)=e0&~e4=unit))&(~op(e0,e1)=e4|(op(e0,e4)=e1&~e4=unit)))&(~op(e0,e2)=e4|(op(e0,e4)=e2&~e4=unit)))&(~op(e0,e3)=e4|(op(e0,e4)=e3&~e4=unit)))&(~op(e0,e4)=e4|(op(e0,e4)=e4&~e4=unit)))&(~op(e1,e0)=e4|(op(e1,e4)=e0&~e4=unit)))&(~op(e1,e1)=e4|(op(e1,e4)=e1&~e4=unit)))&(~op(e1,e2)=e4|(op(e1,e4)=e2&~e4=unit)))&(~op(e1,e3)=e4|(op(e1,e4)=e3&~e4=unit)))&(~op(e1,e4)=e4|(op(e1,e4)=e4&~e4=unit)))&(~op(e2,e0)=e4|(op(e2,e4)=e0&~e4=unit)))&(~op(e2,e1)=e4|(op(e2,e4)=e1&~e4=unit)))&(~op(e2,e2)=e4|(op(e2,e4)=e2&~e4=unit)))&(~op(e2,e3)=e4|(op(e2,e4)=e3&~e4=unit)))&(~op(e2,e4)=e4|(op(e2,e4)=e4&~e4=unit)))&(~op(e3,e0)=e4|(op(e3,e4)=e0&~e4=unit)))&(~op(e3,e1)=e4|(op(e3,e4)=e1&~e4=unit)))&(~op(e3,e2)=e4|(op(e3,e4)=e2&~e4=unit)))&(~op(e3,e3)=e4|(op(e3,e4)=e3&~e4=unit)))&(~op(e3,e4)=e4|(op(e3,e4)=e4&~e4=unit)))&(~op(e4,e0)=e4|(op(e4,e4)=e0&~e4=unit)))&(~op(e4,e1)=e4|(op(e4,e4)=e1&~e4=unit)))&(~op(e4,e2)=e4|(op(e4,e4)=e2&~e4=unit)))&(~op(e4,e3)=e4|(op(e4,e4)=e3&~e4=unit)))&(~op(e4,e4)=e4|(op(e4,e4)=e4&~e4=unit))))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f8,f214,f213,f212,f211,f210,f209])).
% 0.14/5.73 fof(f250,plain,(
% 0.14/5.73 sP5_prd|~op(e2,e2)=e4|op(e2,e4)=e2),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f215])).
% 0.14/5.73 fof(f311,definition,(
% 0.14/5.73 sP11_prd<=>(((((((((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit)))&(~op(e4,e3)=e0|(op(e4,e0)=e3&~e0=unit)))&(~op(e4,e4)=e0|(op(e4,e0)=e4&~e0=unit)))|(((((((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit)))&(~op(e4,e3)=e1|(op(e4,e1)=e3&~e1=unit)))&(~op(e4,e4)=e1|(op(e4,e1)=e4&~e1=unit))))|(((((((((((((((((((((((((~op(e0,e0)=e2|(op(e0,e2)=e0&~e2=unit))&(~op(e0,e1)=e2|(op(e0,e2)=e1&~e2=unit)))&(~op(e0,e2)=e2|(op(e0,e2)=e2&~e2=unit)))&(~op(e0,e3)=e2|(op(e0,e2)=e3&~e2=unit)))&(~op(e0,e4)=e2|(op(e0,e2)=e4&~e2=unit)))&(~op(e1,e0)=e2|(op(e1,e2)=e0&~e2=unit)))&(~op(e1,e1)=e2|(op(e1,e2)=e1&~e2=unit)))&(~op(e1,e2)=e2|(op(e1,e2)=e2&~e2=unit)))&(~op(e1,e3)=e2|(op(e1,e2)=e3&~e2=unit)))&(~op(e1,e4)=e2|(op(e1,e2)=e4&~e2=unit)))&(~op(e2,e0)=e2|(op(e2,e2)=e0&~e2=unit)))&(~op(e2,e1)=e2|(op(e2,e2)=e1&~e2=unit)))&(~op(e2,e2)=e2|(op(e2,e2)=e2&~e2=unit)))&(~op(e2,e3)=e2|(op(e2,e2)=e3&~e2=unit)))&(~op(e2,e4)=e2|(op(e2,e2)=e4&~e2=unit)))&(~op(e3,e0)=e2|(op(e3,e2)=e0&~e2=unit)))&(~op(e3,e1)=e2|(op(e3,e2)=e1&~e2=unit)))&(~op(e3,e2)=e2|(op(e3,e2)=e2&~e2=unit)))&(~op(e3,e3)=e2|(op(e3,e2)=e3&~e2=unit)))&(~op(e3,e4)=e2|(op(e3,e2)=e4&~e2=unit)))&(~op(e4,e0)=e2|(op(e4,e2)=e0&~e2=unit)))&(~op(e4,e1)=e2|(op(e4,e2)=e1&~e2=unit)))&(~op(e4,e2)=e2|(op(e4,e2)=e2&~e2=unit)))&(~op(e4,e3)=e2|(op(e4,e2)=e3&~e2=unit)))&(~op(e4,e4)=e2|(op(e4,e2)=e4&~e2=unit))))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP11_prd])],[])).
% 0.14/5.73 fof(f312,plain,(
% 0.14/5.73 sP5_prd<=>(sP11_prd|(((((((((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit)))&(~op(e4,e1)=e3|(op(e4,e3)=e1&~e3=unit)))&(~op(e4,e2)=e3|(op(e4,e3)=e2&~e3=unit)))&(~op(e4,e3)=e3|(op(e4,e3)=e3&~e3=unit)))&(~op(e4,e4)=e3|(op(e4,e3)=e4&~e3=unit))))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f214,f311])).
% 0.14/5.73 fof(f313,definition,(
% 0.14/5.73 sP12_prd<=>((((((((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit)))&(~op(e4,e1)=e3|(op(e4,e3)=e1&~e3=unit)))&(~op(e4,e2)=e3|(op(e4,e3)=e2&~e3=unit)))&(~op(e4,e3)=e3|(op(e4,e3)=e3&~e3=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP12_prd])],[])).
% 0.14/5.73 fof(f314,plain,(
% 0.14/5.73 sP5_prd<=>(sP11_prd|(sP12_prd&(~op(e4,e4)=e3|(op(e4,e3)=e4&~e3=unit))))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f312,f313])).
% 0.14/5.73 fof(f315,plain,(
% 0.14/5.73 (~sP5_prd|(sP11_prd|(sP12_prd&(~op(e4,e4)=e3|(op(e4,e3)=e4&~e3=unit)))))&(sP5_prd|(~sP11_prd&(~sP12_prd|(op(e4,e4)=e3&(~op(e4,e3)=e4|e3=unit)))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f314])).
% 0.14/5.73 fof(f316,plain,(
% 0.14/5.73 ~sP5_prd|sP11_prd|sP12_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f315])).
% 0.14/5.73 fof(f357,definition,(
% 0.14/5.73 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)))&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit)))&(~op(e4,e3)=e0|(op(e4,e0)=e3&~e0=unit)))&(~op(e4,e4)=e0|(op(e4,e0)=e4&~e0=unit)))|(((((((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit)))&(~op(e4,e3)=e1|(op(e4,e1)=e3&~e1=unit)))&(~op(e4,e4)=e1|(op(e4,e1)=e4&~e1=unit))))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP18_prd])],[])).
% 0.14/5.73 fof(f358,plain,(
% 0.14/5.73 sP11_prd<=>(sP18_prd|(((((((((((((((((((((((((~op(e0,e0)=e2|(op(e0,e2)=e0&~e2=unit))&(~op(e0,e1)=e2|(op(e0,e2)=e1&~e2=unit)))&(~op(e0,e2)=e2|(op(e0,e2)=e2&~e2=unit)))&(~op(e0,e3)=e2|(op(e0,e2)=e3&~e2=unit)))&(~op(e0,e4)=e2|(op(e0,e2)=e4&~e2=unit)))&(~op(e1,e0)=e2|(op(e1,e2)=e0&~e2=unit)))&(~op(e1,e1)=e2|(op(e1,e2)=e1&~e2=unit)))&(~op(e1,e2)=e2|(op(e1,e2)=e2&~e2=unit)))&(~op(e1,e3)=e2|(op(e1,e2)=e3&~e2=unit)))&(~op(e1,e4)=e2|(op(e1,e2)=e4&~e2=unit)))&(~op(e2,e0)=e2|(op(e2,e2)=e0&~e2=unit)))&(~op(e2,e1)=e2|(op(e2,e2)=e1&~e2=unit)))&(~op(e2,e2)=e2|(op(e2,e2)=e2&~e2=unit)))&(~op(e2,e3)=e2|(op(e2,e2)=e3&~e2=unit)))&(~op(e2,e4)=e2|(op(e2,e2)=e4&~e2=unit)))&(~op(e3,e0)=e2|(op(e3,e2)=e0&~e2=unit)))&(~op(e3,e1)=e2|(op(e3,e2)=e1&~e2=unit)))&(~op(e3,e2)=e2|(op(e3,e2)=e2&~e2=unit)))&(~op(e3,e3)=e2|(op(e3,e2)=e3&~e2=unit)))&(~op(e3,e4)=e2|(op(e3,e2)=e4&~e2=unit)))&(~op(e4,e0)=e2|(op(e4,e2)=e0&~e2=unit)))&(~op(e4,e1)=e2|(op(e4,e2)=e1&~e2=unit)))&(~op(e4,e2)=e2|(op(e4,e2)=e2&~e2=unit)))&(~op(e4,e3)=e2|(op(e4,e2)=e3&~e2=unit)))&(~op(e4,e4)=e2|(op(e4,e2)=e4&~e2=unit))))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f311,f357])).
% 0.14/5.73 fof(f359,definition,(
% 0.14/5.73 sP19_prd<=>((((((((((((((((((((((((~op(e0,e0)=e2|(op(e0,e2)=e0&~e2=unit))&(~op(e0,e1)=e2|(op(e0,e2)=e1&~e2=unit)))&(~op(e0,e2)=e2|(op(e0,e2)=e2&~e2=unit)))&(~op(e0,e3)=e2|(op(e0,e2)=e3&~e2=unit)))&(~op(e0,e4)=e2|(op(e0,e2)=e4&~e2=unit)))&(~op(e1,e0)=e2|(op(e1,e2)=e0&~e2=unit)))&(~op(e1,e1)=e2|(op(e1,e2)=e1&~e2=unit)))&(~op(e1,e2)=e2|(op(e1,e2)=e2&~e2=unit)))&(~op(e1,e3)=e2|(op(e1,e2)=e3&~e2=unit)))&(~op(e1,e4)=e2|(op(e1,e2)=e4&~e2=unit)))&(~op(e2,e0)=e2|(op(e2,e2)=e0&~e2=unit)))&(~op(e2,e1)=e2|(op(e2,e2)=e1&~e2=unit)))&(~op(e2,e2)=e2|(op(e2,e2)=e2&~e2=unit)))&(~op(e2,e3)=e2|(op(e2,e2)=e3&~e2=unit)))&(~op(e2,e4)=e2|(op(e2,e2)=e4&~e2=unit)))&(~op(e3,e0)=e2|(op(e3,e2)=e0&~e2=unit)))&(~op(e3,e1)=e2|(op(e3,e2)=e1&~e2=unit)))&(~op(e3,e2)=e2|(op(e3,e2)=e2&~e2=unit)))&(~op(e3,e3)=e2|(op(e3,e2)=e3&~e2=unit)))&(~op(e3,e4)=e2|(op(e3,e2)=e4&~e2=unit)))&(~op(e4,e0)=e2|(op(e4,e2)=e0&~e2=unit)))&(~op(e4,e1)=e2|(op(e4,e2)=e1&~e2=unit)))&(~op(e4,e2)=e2|(op(e4,e2)=e2&~e2=unit)))&(~op(e4,e3)=e2|(op(e4,e2)=e3&~e2=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP19_prd])],[])).
% 0.14/5.73 fof(f360,plain,(
% 0.14/5.73 sP11_prd<=>(sP18_prd|(sP19_prd&(~op(e4,e4)=e2|(op(e4,e2)=e4&~e2=unit))))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f358,f359])).
% 0.14/5.73 fof(f361,plain,(
% 0.14/5.73 (~sP11_prd|(sP18_prd|(sP19_prd&(~op(e4,e4)=e2|(op(e4,e2)=e4&~e2=unit)))))&(sP11_prd|(~sP18_prd&(~sP19_prd|(op(e4,e4)=e2&(~op(e4,e2)=e4|e2=unit)))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f360])).
% 0.14/5.73 fof(f362,plain,(
% 0.14/5.73 ~sP11_prd|sP18_prd|sP19_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f361])).
% 0.14/5.73 fof(f368,definition,(
% 0.14/5.73 sP20_prd<=>(((((((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit)))&(~op(e4,e1)=e3|(op(e4,e3)=e1&~e3=unit)))&(~op(e4,e2)=e3|(op(e4,e3)=e2&~e3=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP20_prd])],[])).
% 0.14/5.73 fof(f369,plain,(
% 0.14/5.73 sP12_prd<=>(sP20_prd&(~op(e4,e3)=e3|(op(e4,e3)=e3&~e3=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f313,f368])).
% 0.14/5.73 fof(f370,plain,(
% 0.14/5.73 (~sP12_prd|(sP20_prd&(~op(e4,e3)=e3|(op(e4,e3)=e3&~e3=unit))))&(sP12_prd|(~sP20_prd|(op(e4,e3)=e3&(~op(e4,e3)=e3|e3=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f369])).
% 0.14/5.73 fof(f371,plain,(
% 0.14/5.73 ~sP12_prd|sP20_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f370])).
% 0.14/5.73 fof(f411,definition,(
% 0.14/5.73 sP21_prd<=>(((((((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit)))&(~op(e4,e3)=e0|(op(e4,e0)=e3&~e0=unit)))&(~op(e4,e4)=e0|(op(e4,e0)=e4&~e0=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP21_prd])],[])).
% 0.14/5.73 fof(f412,plain,(
% 0.14/5.73 sP18_prd<=>(sP21_prd|(((((((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit)))&(~op(e4,e3)=e1|(op(e4,e1)=e3&~e1=unit)))&(~op(e4,e4)=e1|(op(e4,e1)=e4&~e1=unit))))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f357,f411])).
% 0.14/5.73 fof(f413,definition,(
% 0.14/5.73 sP22_prd<=>((((((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit)))&(~op(e4,e3)=e1|(op(e4,e1)=e3&~e1=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP22_prd])],[])).
% 0.14/5.73 fof(f414,plain,(
% 0.14/5.73 sP18_prd<=>(sP21_prd|(sP22_prd&(~op(e4,e4)=e1|(op(e4,e1)=e4&~e1=unit))))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f412,f413])).
% 0.14/5.73 fof(f415,plain,(
% 0.14/5.73 (~sP18_prd|(sP21_prd|(sP22_prd&(~op(e4,e4)=e1|(op(e4,e1)=e4&~e1=unit)))))&(sP18_prd|(~sP21_prd&(~sP22_prd|(op(e4,e4)=e1&(~op(e4,e1)=e4|e1=unit)))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f414])).
% 0.14/5.73 fof(f416,plain,(
% 0.14/5.73 ~sP18_prd|sP21_prd|sP22_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f415])).
% 0.14/5.73 fof(f417,plain,(
% 0.14/5.73 ~sP18_prd|sP21_prd|~op(e4,e4)=e1|op(e4,e1)=e4),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f415])).
% 0.14/5.73 fof(f422,definition,(
% 0.14/5.73 sP23_prd<=>(((((((((((((((((((((((~op(e0,e0)=e2|(op(e0,e2)=e0&~e2=unit))&(~op(e0,e1)=e2|(op(e0,e2)=e1&~e2=unit)))&(~op(e0,e2)=e2|(op(e0,e2)=e2&~e2=unit)))&(~op(e0,e3)=e2|(op(e0,e2)=e3&~e2=unit)))&(~op(e0,e4)=e2|(op(e0,e2)=e4&~e2=unit)))&(~op(e1,e0)=e2|(op(e1,e2)=e0&~e2=unit)))&(~op(e1,e1)=e2|(op(e1,e2)=e1&~e2=unit)))&(~op(e1,e2)=e2|(op(e1,e2)=e2&~e2=unit)))&(~op(e1,e3)=e2|(op(e1,e2)=e3&~e2=unit)))&(~op(e1,e4)=e2|(op(e1,e2)=e4&~e2=unit)))&(~op(e2,e0)=e2|(op(e2,e2)=e0&~e2=unit)))&(~op(e2,e1)=e2|(op(e2,e2)=e1&~e2=unit)))&(~op(e2,e2)=e2|(op(e2,e2)=e2&~e2=unit)))&(~op(e2,e3)=e2|(op(e2,e2)=e3&~e2=unit)))&(~op(e2,e4)=e2|(op(e2,e2)=e4&~e2=unit)))&(~op(e3,e0)=e2|(op(e3,e2)=e0&~e2=unit)))&(~op(e3,e1)=e2|(op(e3,e2)=e1&~e2=unit)))&(~op(e3,e2)=e2|(op(e3,e2)=e2&~e2=unit)))&(~op(e3,e3)=e2|(op(e3,e2)=e3&~e2=unit)))&(~op(e3,e4)=e2|(op(e3,e2)=e4&~e2=unit)))&(~op(e4,e0)=e2|(op(e4,e2)=e0&~e2=unit)))&(~op(e4,e1)=e2|(op(e4,e2)=e1&~e2=unit)))&(~op(e4,e2)=e2|(op(e4,e2)=e2&~e2=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP23_prd])],[])).
% 0.14/5.73 fof(f423,plain,(
% 0.14/5.73 sP19_prd<=>(sP23_prd&(~op(e4,e3)=e2|(op(e4,e2)=e3&~e2=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f359,f422])).
% 0.14/5.73 fof(f424,plain,(
% 0.14/5.73 (~sP19_prd|(sP23_prd&(~op(e4,e3)=e2|(op(e4,e2)=e3&~e2=unit))))&(sP19_prd|(~sP23_prd|(op(e4,e3)=e2&(~op(e4,e2)=e3|e2=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f423])).
% 0.14/5.73 fof(f425,plain,(
% 0.14/5.73 ~sP19_prd|sP23_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f424])).
% 0.14/5.73 fof(f430,definition,(
% 0.14/5.73 sP24_prd<=>((((((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit)))&(~op(e4,e1)=e3|(op(e4,e3)=e1&~e3=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP24_prd])],[])).
% 0.14/5.73 fof(f431,plain,(
% 0.14/5.73 sP20_prd<=>(sP24_prd&(~op(e4,e2)=e3|(op(e4,e3)=e2&~e3=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f368,f430])).
% 0.14/5.73 fof(f432,plain,(
% 0.14/5.73 (~sP20_prd|(sP24_prd&(~op(e4,e2)=e3|(op(e4,e3)=e2&~e3=unit))))&(sP20_prd|(~sP24_prd|(op(e4,e2)=e3&(~op(e4,e3)=e2|e3=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f431])).
% 0.14/5.73 fof(f433,plain,(
% 0.14/5.73 ~sP20_prd|sP24_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f432])).
% 0.14/5.73 fof(f438,definition,(
% 0.14/5.73 sP25_prd<=>((((((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit)))&(~op(e4,e3)=e0|(op(e4,e0)=e3&~e0=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP25_prd])],[])).
% 0.14/5.73 fof(f439,plain,(
% 0.14/5.73 sP21_prd<=>(sP25_prd&(~op(e4,e4)=e0|(op(e4,e0)=e4&~e0=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f411,f438])).
% 0.14/5.73 fof(f440,plain,(
% 0.14/5.73 (~sP21_prd|(sP25_prd&(~op(e4,e4)=e0|(op(e4,e0)=e4&~e0=unit))))&(sP21_prd|(~sP25_prd|(op(e4,e4)=e0&(~op(e4,e0)=e4|e0=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f439])).
% 0.14/5.73 fof(f441,plain,(
% 0.14/5.73 ~sP21_prd|sP25_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f440])).
% 0.14/5.73 fof(f442,plain,(
% 0.14/5.73 ~sP21_prd|~op(e4,e4)=e0|op(e4,e0)=e4),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f440])).
% 0.14/5.73 fof(f443,plain,(
% 0.14/5.73 ~sP21_prd|~op(e4,e4)=e0|~e0=unit),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f440])).
% 0.14/5.73 fof(f446,definition,(
% 0.14/5.73 sP26_prd<=>(((((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP26_prd])],[])).
% 0.14/5.73 fof(f447,plain,(
% 0.14/5.73 sP22_prd<=>(sP26_prd&(~op(e4,e3)=e1|(op(e4,e1)=e3&~e1=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f413,f446])).
% 0.14/5.73 fof(f448,plain,(
% 0.14/5.73 (~sP22_prd|(sP26_prd&(~op(e4,e3)=e1|(op(e4,e1)=e3&~e1=unit))))&(sP22_prd|(~sP26_prd|(op(e4,e3)=e1&(~op(e4,e1)=e3|e1=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f447])).
% 0.14/5.73 fof(f449,plain,(
% 0.14/5.73 ~sP22_prd|sP26_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f448])).
% 0.14/5.73 fof(f454,definition,(
% 0.14/5.73 sP27_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)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP27_prd])],[])).
% 0.14/5.73 fof(f455,plain,(
% 0.14/5.73 sP23_prd<=>(sP27_prd&(~op(e4,e2)=e2|(op(e4,e2)=e2&~e2=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f422,f454])).
% 0.14/5.73 fof(f456,plain,(
% 0.14/5.73 (~sP23_prd|(sP27_prd&(~op(e4,e2)=e2|(op(e4,e2)=e2&~e2=unit))))&(sP23_prd|(~sP27_prd|(op(e4,e2)=e2&(~op(e4,e2)=e2|e2=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f455])).
% 0.14/5.73 fof(f457,plain,(
% 0.14/5.73 ~sP23_prd|sP27_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f456])).
% 0.14/5.73 fof(f462,definition,(
% 0.14/5.73 sP28_prd<=>(((((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP28_prd])],[])).
% 0.14/5.73 fof(f463,plain,(
% 0.14/5.73 sP24_prd<=>(sP28_prd&(~op(e4,e1)=e3|(op(e4,e3)=e1&~e3=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f430,f462])).
% 0.14/5.73 fof(f464,plain,(
% 0.14/5.73 (~sP24_prd|(sP28_prd&(~op(e4,e1)=e3|(op(e4,e3)=e1&~e3=unit))))&(sP24_prd|(~sP28_prd|(op(e4,e1)=e3&(~op(e4,e3)=e1|e3=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f463])).
% 0.14/5.73 fof(f465,plain,(
% 0.14/5.73 ~sP24_prd|sP28_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f464])).
% 0.14/5.73 fof(f470,definition,(
% 0.14/5.73 sP29_prd<=>(((((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP29_prd])],[])).
% 0.14/5.73 fof(f471,plain,(
% 0.14/5.73 sP25_prd<=>(sP29_prd&(~op(e4,e3)=e0|(op(e4,e0)=e3&~e0=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f438,f470])).
% 0.14/5.73 fof(f472,plain,(
% 0.14/5.73 (~sP25_prd|(sP29_prd&(~op(e4,e3)=e0|(op(e4,e0)=e3&~e0=unit))))&(sP25_prd|(~sP29_prd|(op(e4,e3)=e0&(~op(e4,e0)=e3|e0=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f471])).
% 0.14/5.73 fof(f473,plain,(
% 0.14/5.73 ~sP25_prd|sP29_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f472])).
% 0.14/5.73 fof(f478,definition,(
% 0.14/5.73 sP30_prd<=>((((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP30_prd])],[])).
% 0.14/5.73 fof(f479,plain,(
% 0.14/5.73 sP26_prd<=>(sP30_prd&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f446,f478])).
% 0.14/5.73 fof(f480,plain,(
% 0.14/5.73 (~sP26_prd|(sP30_prd&(~op(e4,e2)=e1|(op(e4,e1)=e2&~e1=unit))))&(sP26_prd|(~sP30_prd|(op(e4,e2)=e1&(~op(e4,e1)=e2|e1=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f479])).
% 0.14/5.73 fof(f481,plain,(
% 0.14/5.73 ~sP26_prd|sP30_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f480])).
% 0.14/5.73 fof(f486,definition,(
% 0.14/5.73 sP31_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)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP31_prd])],[])).
% 0.14/5.73 fof(f487,plain,(
% 0.14/5.73 sP27_prd<=>(sP31_prd&(~op(e4,e1)=e2|(op(e4,e2)=e1&~e2=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f454,f486])).
% 0.14/5.73 fof(f488,plain,(
% 0.14/5.73 (~sP27_prd|(sP31_prd&(~op(e4,e1)=e2|(op(e4,e2)=e1&~e2=unit))))&(sP27_prd|(~sP31_prd|(op(e4,e1)=e2&(~op(e4,e2)=e1|e2=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f487])).
% 0.14/5.73 fof(f489,plain,(
% 0.14/5.73 ~sP27_prd|sP31_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f488])).
% 0.14/5.73 fof(f494,definition,(
% 0.14/5.73 sP32_prd<=>((((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP32_prd])],[])).
% 0.14/5.73 fof(f495,plain,(
% 0.14/5.73 sP28_prd<=>(sP32_prd&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f462,f494])).
% 0.14/5.73 fof(f496,plain,(
% 0.14/5.73 (~sP28_prd|(sP32_prd&(~op(e4,e0)=e3|(op(e4,e3)=e0&~e3=unit))))&(sP28_prd|(~sP32_prd|(op(e4,e0)=e3&(~op(e4,e3)=e0|e3=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f495])).
% 0.14/5.73 fof(f497,plain,(
% 0.14/5.73 ~sP28_prd|sP32_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f496])).
% 0.14/5.73 fof(f502,definition,(
% 0.14/5.73 sP33_prd<=>((((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP33_prd])],[])).
% 0.14/5.73 fof(f503,plain,(
% 0.14/5.73 sP29_prd<=>(sP33_prd&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f470,f502])).
% 0.14/5.73 fof(f504,plain,(
% 0.14/5.73 (~sP29_prd|(sP33_prd&(~op(e4,e2)=e0|(op(e4,e0)=e2&~e0=unit))))&(sP29_prd|(~sP33_prd|(op(e4,e2)=e0&(~op(e4,e0)=e2|e0=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f503])).
% 0.14/5.73 fof(f505,plain,(
% 0.14/5.73 ~sP29_prd|sP33_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f504])).
% 0.14/5.73 fof(f510,definition,(
% 0.14/5.73 sP34_prd<=>(((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP34_prd])],[])).
% 0.14/5.73 fof(f511,plain,(
% 0.14/5.73 sP30_prd<=>(sP34_prd&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f478,f510])).
% 0.14/5.73 fof(f512,plain,(
% 0.14/5.73 (~sP30_prd|(sP34_prd&(~op(e4,e1)=e1|(op(e4,e1)=e1&~e1=unit))))&(sP30_prd|(~sP34_prd|(op(e4,e1)=e1&(~op(e4,e1)=e1|e1=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f511])).
% 0.14/5.73 fof(f513,plain,(
% 0.14/5.73 ~sP30_prd|sP34_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f512])).
% 0.14/5.73 fof(f518,definition,(
% 0.14/5.73 sP35_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)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP35_prd])],[])).
% 0.14/5.73 fof(f519,plain,(
% 0.14/5.73 sP31_prd<=>(sP35_prd&(~op(e4,e0)=e2|(op(e4,e2)=e0&~e2=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f486,f518])).
% 0.14/5.73 fof(f520,plain,(
% 0.14/5.73 (~sP31_prd|(sP35_prd&(~op(e4,e0)=e2|(op(e4,e2)=e0&~e2=unit))))&(sP31_prd|(~sP35_prd|(op(e4,e0)=e2&(~op(e4,e2)=e0|e2=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f519])).
% 0.14/5.73 fof(f521,plain,(
% 0.14/5.73 ~sP31_prd|sP35_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f520])).
% 0.14/5.73 fof(f526,definition,(
% 0.14/5.73 sP36_prd<=>(((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP36_prd])],[])).
% 0.14/5.73 fof(f527,plain,(
% 0.14/5.73 sP32_prd<=>(sP36_prd&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f494,f526])).
% 0.14/5.73 fof(f528,plain,(
% 0.14/5.73 (~sP32_prd|(sP36_prd&(~op(e3,e4)=e3|(op(e3,e3)=e4&~e3=unit))))&(sP32_prd|(~sP36_prd|(op(e3,e4)=e3&(~op(e3,e3)=e4|e3=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f527])).
% 0.14/5.73 fof(f529,plain,(
% 0.14/5.73 ~sP32_prd|sP36_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f528])).
% 0.14/5.73 fof(f534,definition,(
% 0.14/5.73 sP37_prd<=>(((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))),
% 0.14/5.73 introduced(definition,[new_symbols(definition,[sP37_prd])],[])).
% 0.14/5.73 fof(f535,plain,(
% 0.14/5.73 sP33_prd<=>(sP37_prd&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit)))),
% 0.14/5.73 inference(formula_renaming,[status(thm)],[f502,f534])).
% 0.14/5.73 fof(f536,plain,(
% 0.14/5.73 (~sP33_prd|(sP37_prd&(~op(e4,e1)=e0|(op(e4,e0)=e1&~e0=unit))))&(sP33_prd|(~sP37_prd|(op(e4,e1)=e0&(~op(e4,e0)=e1|e0=unit))))),
% 0.14/5.73 inference(NNF_transformation,[status(thm)],[f535])).
% 0.14/5.73 fof(f537,plain,(
% 0.14/5.73 ~sP33_prd|sP37_prd),
% 0.14/5.73 inference(cnf_transformation,[status(thm)],[f536])).
% 0.14/5.73 fof(f542,definition,(
% 0.14/5.73 sP38_prd<=>((((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP38_prd])],[])).
% 0.14/5.74 fof(f543,plain,(
% 0.14/5.74 sP34_prd<=>(sP38_prd&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f510,f542])).
% 0.14/5.74 fof(f544,plain,(
% 0.14/5.74 (~sP34_prd|(sP38_prd&(~op(e4,e0)=e1|(op(e4,e1)=e0&~e1=unit))))&(sP34_prd|(~sP38_prd|(op(e4,e0)=e1&(~op(e4,e1)=e0|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f543])).
% 0.14/5.74 fof(f545,plain,(
% 0.14/5.74 ~sP34_prd|sP38_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f544])).
% 0.14/5.74 fof(f550,definition,(
% 0.14/5.74 sP39_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP39_prd])],[])).
% 0.14/5.74 fof(f551,plain,(
% 0.14/5.74 sP35_prd<=>(sP39_prd&(~op(e3,e4)=e2|(op(e3,e2)=e4&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f518,f550])).
% 0.14/5.74 fof(f552,plain,(
% 0.14/5.74 (~sP35_prd|(sP39_prd&(~op(e3,e4)=e2|(op(e3,e2)=e4&~e2=unit))))&(sP35_prd|(~sP39_prd|(op(e3,e4)=e2&(~op(e3,e2)=e4|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f551])).
% 0.14/5.74 fof(f553,plain,(
% 0.14/5.74 ~sP35_prd|sP39_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f552])).
% 0.14/5.74 fof(f554,plain,(
% 0.14/5.74 ~sP35_prd|~op(e3,e4)=e2|op(e3,e2)=e4),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f552])).
% 0.14/5.74 fof(f558,definition,(
% 0.14/5.74 sP40_prd<=>((((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP40_prd])],[])).
% 0.14/5.74 fof(f559,plain,(
% 0.14/5.74 sP36_prd<=>(sP40_prd&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f526,f558])).
% 0.14/5.74 fof(f560,plain,(
% 0.14/5.74 (~sP36_prd|(sP40_prd&(~op(e3,e3)=e3|(op(e3,e3)=e3&~e3=unit))))&(sP36_prd|(~sP40_prd|(op(e3,e3)=e3&(~op(e3,e3)=e3|e3=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f559])).
% 0.14/5.74 fof(f561,plain,(
% 0.14/5.74 ~sP36_prd|sP40_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f560])).
% 0.14/5.74 fof(f566,definition,(
% 0.14/5.74 sP41_prd<=>((((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP41_prd])],[])).
% 0.14/5.74 fof(f567,plain,(
% 0.14/5.74 sP37_prd<=>(sP41_prd&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f534,f566])).
% 0.14/5.74 fof(f568,plain,(
% 0.14/5.74 (~sP37_prd|(sP41_prd&(~op(e4,e0)=e0|(op(e4,e0)=e0&~e0=unit))))&(sP37_prd|(~sP41_prd|(op(e4,e0)=e0&(~op(e4,e0)=e0|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f567])).
% 0.14/5.74 fof(f569,plain,(
% 0.14/5.74 ~sP37_prd|sP41_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f568])).
% 0.14/5.74 fof(f574,definition,(
% 0.14/5.74 sP42_prd<=>(((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP42_prd])],[])).
% 0.14/5.74 fof(f575,plain,(
% 0.14/5.74 sP38_prd<=>(sP42_prd&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f542,f574])).
% 0.14/5.74 fof(f576,plain,(
% 0.14/5.74 (~sP38_prd|(sP42_prd&(~op(e3,e4)=e1|(op(e3,e1)=e4&~e1=unit))))&(sP38_prd|(~sP42_prd|(op(e3,e4)=e1&(~op(e3,e1)=e4|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f575])).
% 0.14/5.74 fof(f577,plain,(
% 0.14/5.74 ~sP38_prd|sP42_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f576])).
% 0.14/5.74 fof(f578,plain,(
% 0.14/5.74 ~sP38_prd|~op(e3,e4)=e1|op(e3,e1)=e4),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f576])).
% 0.14/5.74 fof(f579,plain,(
% 0.14/5.74 ~sP38_prd|~op(e3,e4)=e1|~e1=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f576])).
% 0.14/5.74 fof(f582,definition,(
% 0.14/5.74 sP43_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP43_prd])],[])).
% 0.14/5.74 fof(f583,plain,(
% 0.14/5.74 sP39_prd<=>(sP43_prd&(~op(e3,e3)=e2|(op(e3,e2)=e3&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f550,f582])).
% 0.14/5.74 fof(f584,plain,(
% 0.14/5.74 (~sP39_prd|(sP43_prd&(~op(e3,e3)=e2|(op(e3,e2)=e3&~e2=unit))))&(sP39_prd|(~sP43_prd|(op(e3,e3)=e2&(~op(e3,e2)=e3|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f583])).
% 0.14/5.74 fof(f585,plain,(
% 0.14/5.74 ~sP39_prd|sP43_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f584])).
% 0.14/5.74 fof(f590,definition,(
% 0.14/5.74 sP44_prd<=>(((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP44_prd])],[])).
% 0.14/5.74 fof(f591,plain,(
% 0.14/5.74 sP40_prd<=>(sP44_prd&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f558,f590])).
% 0.14/5.74 fof(f592,plain,(
% 0.14/5.74 (~sP40_prd|(sP44_prd&(~op(e3,e2)=e3|(op(e3,e3)=e2&~e3=unit))))&(sP40_prd|(~sP44_prd|(op(e3,e2)=e3&(~op(e3,e3)=e2|e3=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f591])).
% 0.14/5.74 fof(f593,plain,(
% 0.14/5.74 ~sP40_prd|sP44_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f592])).
% 0.14/5.74 fof(f598,definition,(
% 0.14/5.74 sP45_prd<=>(((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP45_prd])],[])).
% 0.14/5.74 fof(f599,plain,(
% 0.14/5.74 sP41_prd<=>(sP45_prd&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f566,f598])).
% 0.14/5.74 fof(f600,plain,(
% 0.14/5.74 (~sP41_prd|(sP45_prd&(~op(e3,e4)=e0|(op(e3,e0)=e4&~e0=unit))))&(sP41_prd|(~sP45_prd|(op(e3,e4)=e0&(~op(e3,e0)=e4|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f599])).
% 0.14/5.74 fof(f601,plain,(
% 0.14/5.74 ~sP41_prd|sP45_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f600])).
% 0.14/5.74 fof(f606,definition,(
% 0.14/5.74 sP46_prd<=>((((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP46_prd])],[])).
% 0.14/5.74 fof(f607,plain,(
% 0.14/5.74 sP42_prd<=>(sP46_prd&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f574,f606])).
% 0.14/5.74 fof(f608,plain,(
% 0.14/5.74 (~sP42_prd|(sP46_prd&(~op(e3,e3)=e1|(op(e3,e1)=e3&~e1=unit))))&(sP42_prd|(~sP46_prd|(op(e3,e3)=e1&(~op(e3,e1)=e3|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f607])).
% 0.14/5.74 fof(f609,plain,(
% 0.14/5.74 ~sP42_prd|sP46_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f608])).
% 0.14/5.74 fof(f614,definition,(
% 0.14/5.74 sP47_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP47_prd])],[])).
% 0.14/5.74 fof(f615,plain,(
% 0.14/5.74 sP43_prd<=>(sP47_prd&(~op(e3,e2)=e2|(op(e3,e2)=e2&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f582,f614])).
% 0.14/5.74 fof(f616,plain,(
% 0.14/5.74 (~sP43_prd|(sP47_prd&(~op(e3,e2)=e2|(op(e3,e2)=e2&~e2=unit))))&(sP43_prd|(~sP47_prd|(op(e3,e2)=e2&(~op(e3,e2)=e2|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f615])).
% 0.14/5.74 fof(f617,plain,(
% 0.14/5.74 ~sP43_prd|sP47_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f616])).
% 0.14/5.74 fof(f622,definition,(
% 0.14/5.74 sP48_prd<=>((((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP48_prd])],[])).
% 0.14/5.74 fof(f623,plain,(
% 0.14/5.74 sP44_prd<=>(sP48_prd&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f590,f622])).
% 0.14/5.74 fof(f624,plain,(
% 0.14/5.74 (~sP44_prd|(sP48_prd&(~op(e3,e1)=e3|(op(e3,e3)=e1&~e3=unit))))&(sP44_prd|(~sP48_prd|(op(e3,e1)=e3&(~op(e3,e3)=e1|e3=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f623])).
% 0.14/5.74 fof(f625,plain,(
% 0.14/5.74 ~sP44_prd|sP48_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f624])).
% 0.14/5.74 fof(f630,definition,(
% 0.14/5.74 sP49_prd<=>((((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP49_prd])],[])).
% 0.14/5.74 fof(f631,plain,(
% 0.14/5.74 sP45_prd<=>(sP49_prd&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f598,f630])).
% 0.14/5.74 fof(f632,plain,(
% 0.14/5.74 (~sP45_prd|(sP49_prd&(~op(e3,e3)=e0|(op(e3,e0)=e3&~e0=unit))))&(sP45_prd|(~sP49_prd|(op(e3,e3)=e0&(~op(e3,e0)=e3|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f631])).
% 0.14/5.74 fof(f633,plain,(
% 0.14/5.74 ~sP45_prd|sP49_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f632])).
% 0.14/5.74 fof(f638,definition,(
% 0.14/5.74 sP50_prd<=>(((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP50_prd])],[])).
% 0.14/5.74 fof(f639,plain,(
% 0.14/5.74 sP46_prd<=>(sP50_prd&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f606,f638])).
% 0.14/5.74 fof(f640,plain,(
% 0.14/5.74 (~sP46_prd|(sP50_prd&(~op(e3,e2)=e1|(op(e3,e1)=e2&~e1=unit))))&(sP46_prd|(~sP50_prd|(op(e3,e2)=e1&(~op(e3,e1)=e2|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f639])).
% 0.14/5.74 fof(f641,plain,(
% 0.14/5.74 ~sP46_prd|sP50_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f640])).
% 0.14/5.74 fof(f646,definition,(
% 0.14/5.74 sP51_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP51_prd])],[])).
% 0.14/5.74 fof(f647,plain,(
% 0.14/5.74 sP47_prd<=>(sP51_prd&(~op(e3,e1)=e2|(op(e3,e2)=e1&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f614,f646])).
% 0.14/5.74 fof(f648,plain,(
% 0.14/5.74 (~sP47_prd|(sP51_prd&(~op(e3,e1)=e2|(op(e3,e2)=e1&~e2=unit))))&(sP47_prd|(~sP51_prd|(op(e3,e1)=e2&(~op(e3,e2)=e1|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f647])).
% 0.14/5.74 fof(f649,plain,(
% 0.14/5.74 ~sP47_prd|sP51_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f648])).
% 0.14/5.74 fof(f654,definition,(
% 0.14/5.74 sP52_prd<=>(((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP52_prd])],[])).
% 0.14/5.74 fof(f655,plain,(
% 0.14/5.74 sP48_prd<=>(sP52_prd&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f622,f654])).
% 0.14/5.74 fof(f656,plain,(
% 0.14/5.74 (~sP48_prd|(sP52_prd&(~op(e3,e0)=e3|(op(e3,e3)=e0&~e3=unit))))&(sP48_prd|(~sP52_prd|(op(e3,e0)=e3&(~op(e3,e3)=e0|e3=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f655])).
% 0.14/5.74 fof(f657,plain,(
% 0.14/5.74 ~sP48_prd|sP52_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f656])).
% 0.14/5.74 fof(f662,definition,(
% 0.14/5.74 sP53_prd<=>(((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP53_prd])],[])).
% 0.14/5.74 fof(f663,plain,(
% 0.14/5.74 sP49_prd<=>(sP53_prd&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f630,f662])).
% 0.14/5.74 fof(f664,plain,(
% 0.14/5.74 (~sP49_prd|(sP53_prd&(~op(e3,e2)=e0|(op(e3,e0)=e2&~e0=unit))))&(sP49_prd|(~sP53_prd|(op(e3,e2)=e0&(~op(e3,e0)=e2|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f663])).
% 0.14/5.74 fof(f665,plain,(
% 0.14/5.74 ~sP49_prd|sP53_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f664])).
% 0.14/5.74 fof(f670,definition,(
% 0.14/5.74 sP54_prd<=>((((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP54_prd])],[])).
% 0.14/5.74 fof(f671,plain,(
% 0.14/5.74 sP50_prd<=>(sP54_prd&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f638,f670])).
% 0.14/5.74 fof(f672,plain,(
% 0.14/5.74 (~sP50_prd|(sP54_prd&(~op(e3,e1)=e1|(op(e3,e1)=e1&~e1=unit))))&(sP50_prd|(~sP54_prd|(op(e3,e1)=e1&(~op(e3,e1)=e1|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f671])).
% 0.14/5.74 fof(f673,plain,(
% 0.14/5.74 ~sP50_prd|sP54_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f672])).
% 0.14/5.74 fof(f678,definition,(
% 0.14/5.74 sP55_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP55_prd])],[])).
% 0.14/5.74 fof(f679,plain,(
% 0.14/5.74 sP51_prd<=>(sP55_prd&(~op(e3,e0)=e2|(op(e3,e2)=e0&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f646,f678])).
% 0.14/5.74 fof(f680,plain,(
% 0.14/5.74 (~sP51_prd|(sP55_prd&(~op(e3,e0)=e2|(op(e3,e2)=e0&~e2=unit))))&(sP51_prd|(~sP55_prd|(op(e3,e0)=e2&(~op(e3,e2)=e0|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f679])).
% 0.14/5.74 fof(f681,plain,(
% 0.14/5.74 ~sP51_prd|sP55_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f680])).
% 0.14/5.74 fof(f686,definition,(
% 0.14/5.74 sP56_prd<=>((((((((((((((~op(e0,e0)=e3|(op(e0,e3)=e0&~e3=unit))&(~op(e0,e1)=e3|(op(e0,e3)=e1&~e3=unit)))&(~op(e0,e2)=e3|(op(e0,e3)=e2&~e3=unit)))&(~op(e0,e3)=e3|(op(e0,e3)=e3&~e3=unit)))&(~op(e0,e4)=e3|(op(e0,e3)=e4&~e3=unit)))&(~op(e1,e0)=e3|(op(e1,e3)=e0&~e3=unit)))&(~op(e1,e1)=e3|(op(e1,e3)=e1&~e3=unit)))&(~op(e1,e2)=e3|(op(e1,e3)=e2&~e3=unit)))&(~op(e1,e3)=e3|(op(e1,e3)=e3&~e3=unit)))&(~op(e1,e4)=e3|(op(e1,e3)=e4&~e3=unit)))&(~op(e2,e0)=e3|(op(e2,e3)=e0&~e3=unit)))&(~op(e2,e1)=e3|(op(e2,e3)=e1&~e3=unit)))&(~op(e2,e2)=e3|(op(e2,e3)=e2&~e3=unit)))&(~op(e2,e3)=e3|(op(e2,e3)=e3&~e3=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP56_prd])],[])).
% 0.14/5.74 fof(f687,plain,(
% 0.14/5.74 sP52_prd<=>(sP56_prd&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f654,f686])).
% 0.14/5.74 fof(f688,plain,(
% 0.14/5.74 (~sP52_prd|(sP56_prd&(~op(e2,e4)=e3|(op(e2,e3)=e4&~e3=unit))))&(sP52_prd|(~sP56_prd|(op(e2,e4)=e3&(~op(e2,e3)=e4|e3=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f687])).
% 0.14/5.74 fof(f690,plain,(
% 0.14/5.74 ~sP52_prd|~op(e2,e4)=e3|op(e2,e3)=e4),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f688])).
% 0.14/5.74 fof(f694,definition,(
% 0.14/5.74 sP57_prd<=>((((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP57_prd])],[])).
% 0.14/5.74 fof(f695,plain,(
% 0.14/5.74 sP53_prd<=>(sP57_prd&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f662,f694])).
% 0.14/5.74 fof(f696,plain,(
% 0.14/5.74 (~sP53_prd|(sP57_prd&(~op(e3,e1)=e0|(op(e3,e0)=e1&~e0=unit))))&(sP53_prd|(~sP57_prd|(op(e3,e1)=e0&(~op(e3,e0)=e1|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f695])).
% 0.14/5.74 fof(f697,plain,(
% 0.14/5.74 ~sP53_prd|sP57_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f696])).
% 0.14/5.74 fof(f698,plain,(
% 0.14/5.74 ~sP53_prd|~op(e3,e1)=e0|op(e3,e0)=e1),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f696])).
% 0.14/5.74 fof(f702,definition,(
% 0.14/5.74 sP58_prd<=>(((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP58_prd])],[])).
% 0.14/5.74 fof(f703,plain,(
% 0.14/5.74 sP54_prd<=>(sP58_prd&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f670,f702])).
% 0.14/5.74 fof(f704,plain,(
% 0.14/5.74 (~sP54_prd|(sP58_prd&(~op(e3,e0)=e1|(op(e3,e1)=e0&~e1=unit))))&(sP54_prd|(~sP58_prd|(op(e3,e0)=e1&(~op(e3,e1)=e0|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f703])).
% 0.14/5.74 fof(f705,plain,(
% 0.14/5.74 ~sP54_prd|sP58_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f704])).
% 0.14/5.74 fof(f710,definition,(
% 0.14/5.74 sP59_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP59_prd])],[])).
% 0.14/5.74 fof(f711,plain,(
% 0.14/5.74 sP55_prd<=>(sP59_prd&(~op(e2,e4)=e2|(op(e2,e2)=e4&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f678,f710])).
% 0.14/5.74 fof(f712,plain,(
% 0.14/5.74 (~sP55_prd|(sP59_prd&(~op(e2,e4)=e2|(op(e2,e2)=e4&~e2=unit))))&(sP55_prd|(~sP59_prd|(op(e2,e4)=e2&(~op(e2,e2)=e4|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f711])).
% 0.14/5.74 fof(f713,plain,(
% 0.14/5.74 ~sP55_prd|sP59_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f712])).
% 0.14/5.74 fof(f726,definition,(
% 0.14/5.74 sP61_prd<=>(((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP61_prd])],[])).
% 0.14/5.74 fof(f727,plain,(
% 0.14/5.74 sP57_prd<=>(sP61_prd&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f694,f726])).
% 0.14/5.74 fof(f728,plain,(
% 0.14/5.74 (~sP57_prd|(sP61_prd&(~op(e3,e0)=e0|(op(e3,e0)=e0&~e0=unit))))&(sP57_prd|(~sP61_prd|(op(e3,e0)=e0&(~op(e3,e0)=e0|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f727])).
% 0.14/5.74 fof(f729,plain,(
% 0.14/5.74 ~sP57_prd|sP61_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f728])).
% 0.14/5.74 fof(f734,definition,(
% 0.14/5.74 sP62_prd<=>((((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP62_prd])],[])).
% 0.14/5.74 fof(f735,plain,(
% 0.14/5.74 sP58_prd<=>(sP62_prd&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f702,f734])).
% 0.14/5.74 fof(f736,plain,(
% 0.14/5.74 (~sP58_prd|(sP62_prd&(~op(e2,e4)=e1|(op(e2,e1)=e4&~e1=unit))))&(sP58_prd|(~sP62_prd|(op(e2,e4)=e1&(~op(e2,e1)=e4|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f735])).
% 0.14/5.74 fof(f737,plain,(
% 0.14/5.74 ~sP58_prd|sP62_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f736])).
% 0.14/5.74 fof(f742,definition,(
% 0.14/5.74 sP63_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP63_prd])],[])).
% 0.14/5.74 fof(f743,plain,(
% 0.14/5.74 sP59_prd<=>(sP63_prd&(~op(e2,e3)=e2|(op(e2,e2)=e3&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f710,f742])).
% 0.14/5.74 fof(f744,plain,(
% 0.14/5.74 (~sP59_prd|(sP63_prd&(~op(e2,e3)=e2|(op(e2,e2)=e3&~e2=unit))))&(sP59_prd|(~sP63_prd|(op(e2,e3)=e2&(~op(e2,e2)=e3|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f743])).
% 0.14/5.74 fof(f745,plain,(
% 0.14/5.74 ~sP59_prd|sP63_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f744])).
% 0.14/5.74 fof(f746,plain,(
% 0.14/5.74 ~sP59_prd|~op(e2,e3)=e2|op(e2,e2)=e3),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f744])).
% 0.14/5.74 fof(f758,definition,(
% 0.14/5.74 sP65_prd<=>((((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP65_prd])],[])).
% 0.14/5.74 fof(f759,plain,(
% 0.14/5.74 sP61_prd<=>(sP65_prd&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f726,f758])).
% 0.14/5.74 fof(f760,plain,(
% 0.14/5.74 (~sP61_prd|(sP65_prd&(~op(e2,e4)=e0|(op(e2,e0)=e4&~e0=unit))))&(sP61_prd|(~sP65_prd|(op(e2,e4)=e0&(~op(e2,e0)=e4|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f759])).
% 0.14/5.74 fof(f761,plain,(
% 0.14/5.74 ~sP61_prd|sP65_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f760])).
% 0.14/5.74 fof(f763,plain,(
% 0.14/5.74 ~sP61_prd|~op(e2,e4)=e0|~e0=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f760])).
% 0.14/5.74 fof(f764,plain,(
% 0.14/5.74 sP61_prd|~sP65_prd|op(e2,e4)=e0),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f760])).
% 0.14/5.74 fof(f766,definition,(
% 0.14/5.74 sP66_prd<=>(((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP66_prd])],[])).
% 0.14/5.74 fof(f767,plain,(
% 0.14/5.74 sP62_prd<=>(sP66_prd&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f734,f766])).
% 0.14/5.74 fof(f768,plain,(
% 0.14/5.74 (~sP62_prd|(sP66_prd&(~op(e2,e3)=e1|(op(e2,e1)=e3&~e1=unit))))&(sP62_prd|(~sP66_prd|(op(e2,e3)=e1&(~op(e2,e1)=e3|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f767])).
% 0.14/5.74 fof(f769,plain,(
% 0.14/5.74 ~sP62_prd|sP66_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f768])).
% 0.14/5.74 fof(f770,plain,(
% 0.14/5.74 ~sP62_prd|~op(e2,e3)=e1|op(e2,e1)=e3),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f768])).
% 0.14/5.74 fof(f774,definition,(
% 0.14/5.74 sP67_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP67_prd])],[])).
% 0.14/5.74 fof(f775,plain,(
% 0.14/5.74 sP63_prd<=>(sP67_prd&(~op(e2,e2)=e2|(op(e2,e2)=e2&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f742,f774])).
% 0.14/5.74 fof(f776,plain,(
% 0.14/5.74 (~sP63_prd|(sP67_prd&(~op(e2,e2)=e2|(op(e2,e2)=e2&~e2=unit))))&(sP63_prd|(~sP67_prd|(op(e2,e2)=e2&(~op(e2,e2)=e2|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f775])).
% 0.14/5.74 fof(f777,plain,(
% 0.14/5.74 ~sP63_prd|sP67_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f776])).
% 0.14/5.74 fof(f790,definition,(
% 0.14/5.74 sP69_prd<=>(((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP69_prd])],[])).
% 0.14/5.74 fof(f791,plain,(
% 0.14/5.74 sP65_prd<=>(sP69_prd&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f758,f790])).
% 0.14/5.74 fof(f792,plain,(
% 0.14/5.74 (~sP65_prd|(sP69_prd&(~op(e2,e3)=e0|(op(e2,e0)=e3&~e0=unit))))&(sP65_prd|(~sP69_prd|(op(e2,e3)=e0&(~op(e2,e0)=e3|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f791])).
% 0.14/5.74 fof(f793,plain,(
% 0.14/5.74 ~sP65_prd|sP69_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f792])).
% 0.14/5.74 fof(f794,plain,(
% 0.14/5.74 ~sP65_prd|~op(e2,e3)=e0|op(e2,e0)=e3),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f792])).
% 0.14/5.74 fof(f796,plain,(
% 0.14/5.74 sP65_prd|~sP69_prd|op(e2,e3)=e0),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f792])).
% 0.14/5.74 fof(f798,definition,(
% 0.14/5.74 sP70_prd<=>((((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP70_prd])],[])).
% 0.14/5.74 fof(f799,plain,(
% 0.14/5.74 sP66_prd<=>(sP70_prd&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f766,f798])).
% 0.14/5.74 fof(f800,plain,(
% 0.14/5.74 (~sP66_prd|(sP70_prd&(~op(e2,e2)=e1|(op(e2,e1)=e2&~e1=unit))))&(sP66_prd|(~sP70_prd|(op(e2,e2)=e1&(~op(e2,e1)=e2|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f799])).
% 0.14/5.74 fof(f801,plain,(
% 0.14/5.74 ~sP66_prd|sP70_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f800])).
% 0.14/5.74 fof(f806,definition,(
% 0.14/5.74 sP71_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP71_prd])],[])).
% 0.14/5.74 fof(f807,plain,(
% 0.14/5.74 sP67_prd<=>(sP71_prd&(~op(e2,e1)=e2|(op(e2,e2)=e1&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f774,f806])).
% 0.14/5.74 fof(f808,plain,(
% 0.14/5.74 (~sP67_prd|(sP71_prd&(~op(e2,e1)=e2|(op(e2,e2)=e1&~e2=unit))))&(sP67_prd|(~sP71_prd|(op(e2,e1)=e2&(~op(e2,e2)=e1|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f807])).
% 0.14/5.74 fof(f809,plain,(
% 0.14/5.74 ~sP67_prd|sP71_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f808])).
% 0.14/5.74 fof(f822,definition,(
% 0.14/5.74 sP73_prd<=>((((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP73_prd])],[])).
% 0.14/5.74 fof(f823,plain,(
% 0.14/5.74 sP69_prd<=>(sP73_prd&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f790,f822])).
% 0.14/5.74 fof(f824,plain,(
% 0.14/5.74 (~sP69_prd|(sP73_prd&(~op(e2,e2)=e0|(op(e2,e0)=e2&~e0=unit))))&(sP69_prd|(~sP73_prd|(op(e2,e2)=e0&(~op(e2,e0)=e2|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f823])).
% 0.14/5.74 fof(f825,plain,(
% 0.14/5.74 ~sP69_prd|sP73_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f824])).
% 0.14/5.74 fof(f828,plain,(
% 0.14/5.74 sP69_prd|~sP73_prd|op(e2,e2)=e0),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f824])).
% 0.14/5.74 fof(f830,definition,(
% 0.14/5.74 sP74_prd<=>(((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP74_prd])],[])).
% 0.14/5.74 fof(f831,plain,(
% 0.14/5.74 sP70_prd<=>(sP74_prd&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f798,f830])).
% 0.14/5.74 fof(f832,plain,(
% 0.14/5.74 (~sP70_prd|(sP74_prd&(~op(e2,e1)=e1|(op(e2,e1)=e1&~e1=unit))))&(sP70_prd|(~sP74_prd|(op(e2,e1)=e1&(~op(e2,e1)=e1|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f831])).
% 0.14/5.74 fof(f833,plain,(
% 0.14/5.74 ~sP70_prd|sP74_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f832])).
% 0.14/5.74 fof(f838,definition,(
% 0.14/5.74 sP75_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP75_prd])],[])).
% 0.14/5.74 fof(f839,plain,(
% 0.14/5.74 sP71_prd<=>(sP75_prd&(~op(e2,e0)=e2|(op(e2,e2)=e0&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f806,f838])).
% 0.14/5.74 fof(f840,plain,(
% 0.14/5.74 (~sP71_prd|(sP75_prd&(~op(e2,e0)=e2|(op(e2,e2)=e0&~e2=unit))))&(sP71_prd|(~sP75_prd|(op(e2,e0)=e2&(~op(e2,e2)=e0|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f839])).
% 0.14/5.74 fof(f841,plain,(
% 0.14/5.74 ~sP71_prd|sP75_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f840])).
% 0.14/5.74 fof(f842,plain,(
% 0.14/5.74 ~sP71_prd|~op(e2,e0)=e2|op(e2,e2)=e0),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f840])).
% 0.14/5.74 fof(f854,definition,(
% 0.14/5.74 sP77_prd<=>(((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP77_prd])],[])).
% 0.14/5.74 fof(f855,plain,(
% 0.14/5.74 sP73_prd<=>(sP77_prd&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f822,f854])).
% 0.14/5.74 fof(f856,plain,(
% 0.14/5.74 (~sP73_prd|(sP77_prd&(~op(e2,e1)=e0|(op(e2,e0)=e1&~e0=unit))))&(sP73_prd|(~sP77_prd|(op(e2,e1)=e0&(~op(e2,e0)=e1|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f855])).
% 0.14/5.74 fof(f857,plain,(
% 0.14/5.74 ~sP73_prd|sP77_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f856])).
% 0.14/5.74 fof(f858,plain,(
% 0.14/5.74 ~sP73_prd|~op(e2,e1)=e0|op(e2,e0)=e1),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f856])).
% 0.14/5.74 fof(f859,plain,(
% 0.14/5.74 ~sP73_prd|~op(e2,e1)=e0|~e0=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f856])).
% 0.14/5.74 fof(f860,plain,(
% 0.14/5.74 sP73_prd|~sP77_prd|op(e2,e1)=e0),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f856])).
% 0.14/5.74 fof(f862,definition,(
% 0.14/5.74 sP78_prd<=>((((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP78_prd])],[])).
% 0.14/5.74 fof(f863,plain,(
% 0.14/5.74 sP74_prd<=>(sP78_prd&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f830,f862])).
% 0.14/5.74 fof(f864,plain,(
% 0.14/5.74 (~sP74_prd|(sP78_prd&(~op(e2,e0)=e1|(op(e2,e1)=e0&~e1=unit))))&(sP74_prd|(~sP78_prd|(op(e2,e0)=e1&(~op(e2,e1)=e0|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f863])).
% 0.14/5.74 fof(f865,plain,(
% 0.14/5.74 ~sP74_prd|sP78_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f864])).
% 0.14/5.74 fof(f868,plain,(
% 0.14/5.74 sP74_prd|~sP78_prd|op(e2,e0)=e1),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f864])).
% 0.14/5.74 fof(f870,definition,(
% 0.14/5.74 sP79_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP79_prd])],[])).
% 0.14/5.74 fof(f871,plain,(
% 0.14/5.74 sP75_prd<=>(sP79_prd&(~op(e1,e4)=e2|(op(e1,e2)=e4&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f838,f870])).
% 0.14/5.74 fof(f872,plain,(
% 0.14/5.74 (~sP75_prd|(sP79_prd&(~op(e1,e4)=e2|(op(e1,e2)=e4&~e2=unit))))&(sP75_prd|(~sP79_prd|(op(e1,e4)=e2&(~op(e1,e2)=e4|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f871])).
% 0.14/5.74 fof(f873,plain,(
% 0.14/5.74 ~sP75_prd|sP79_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f872])).
% 0.14/5.74 fof(f874,plain,(
% 0.14/5.74 ~sP75_prd|~op(e1,e4)=e2|op(e1,e2)=e4),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f872])).
% 0.14/5.74 fof(f886,definition,(
% 0.14/5.74 sP81_prd<=>((((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP81_prd])],[])).
% 0.14/5.74 fof(f887,plain,(
% 0.14/5.74 sP77_prd<=>(sP81_prd&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f854,f886])).
% 0.14/5.74 fof(f888,plain,(
% 0.14/5.74 (~sP77_prd|(sP81_prd&(~op(e2,e0)=e0|(op(e2,e0)=e0&~e0=unit))))&(sP77_prd|(~sP81_prd|(op(e2,e0)=e0&(~op(e2,e0)=e0|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f887])).
% 0.14/5.74 fof(f889,plain,(
% 0.14/5.74 ~sP77_prd|sP81_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f888])).
% 0.14/5.74 fof(f891,plain,(
% 0.14/5.74 ~sP77_prd|~op(e2,e0)=e0|~e0=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f888])).
% 0.14/5.74 fof(f892,plain,(
% 0.14/5.74 sP77_prd|~sP81_prd|op(e2,e0)=e0),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f888])).
% 0.14/5.74 fof(f893,plain,(
% 0.14/5.74 sP77_prd|~sP81_prd|~op(e2,e0)=e0|e0=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f888])).
% 0.14/5.74 fof(f894,definition,(
% 0.14/5.74 sP82_prd<=>(((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP82_prd])],[])).
% 0.14/5.74 fof(f895,plain,(
% 0.14/5.74 sP78_prd<=>(sP82_prd&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f862,f894])).
% 0.14/5.74 fof(f896,plain,(
% 0.14/5.74 (~sP78_prd|(sP82_prd&(~op(e1,e4)=e1|(op(e1,e1)=e4&~e1=unit))))&(sP78_prd|(~sP82_prd|(op(e1,e4)=e1&(~op(e1,e1)=e4|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f895])).
% 0.14/5.74 fof(f897,plain,(
% 0.14/5.74 ~sP78_prd|sP82_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f896])).
% 0.14/5.74 fof(f898,plain,(
% 0.14/5.74 ~sP78_prd|~op(e1,e4)=e1|op(e1,e1)=e4),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f896])).
% 0.14/5.74 fof(f902,definition,(
% 0.14/5.74 sP83_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP83_prd])],[])).
% 0.14/5.74 fof(f903,plain,(
% 0.14/5.74 sP79_prd<=>(sP83_prd&(~op(e1,e3)=e2|(op(e1,e2)=e3&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f870,f902])).
% 0.14/5.74 fof(f904,plain,(
% 0.14/5.74 (~sP79_prd|(sP83_prd&(~op(e1,e3)=e2|(op(e1,e2)=e3&~e2=unit))))&(sP79_prd|(~sP83_prd|(op(e1,e3)=e2&(~op(e1,e2)=e3|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f903])).
% 0.14/5.74 fof(f905,plain,(
% 0.14/5.74 ~sP79_prd|sP83_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f904])).
% 0.14/5.74 fof(f908,plain,(
% 0.14/5.74 sP79_prd|~sP83_prd|op(e1,e3)=e2),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f904])).
% 0.14/5.74 fof(f918,definition,(
% 0.14/5.74 sP85_prd<=>(((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP85_prd])],[])).
% 0.14/5.74 fof(f919,plain,(
% 0.14/5.74 sP81_prd<=>(sP85_prd&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f886,f918])).
% 0.14/5.74 fof(f920,plain,(
% 0.14/5.74 (~sP81_prd|(sP85_prd&(~op(e1,e4)=e0|(op(e1,e0)=e4&~e0=unit))))&(sP81_prd|(~sP85_prd|(op(e1,e4)=e0&(~op(e1,e0)=e4|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f919])).
% 0.14/5.74 fof(f921,plain,(
% 0.14/5.74 ~sP81_prd|sP85_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f920])).
% 0.14/5.74 fof(f924,plain,(
% 0.14/5.74 sP81_prd|~sP85_prd|op(e1,e4)=e0),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f920])).
% 0.14/5.74 fof(f926,definition,(
% 0.14/5.74 sP86_prd<=>((((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP86_prd])],[])).
% 0.14/5.74 fof(f927,plain,(
% 0.14/5.74 sP82_prd<=>(sP86_prd&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f894,f926])).
% 0.14/5.74 fof(f928,plain,(
% 0.14/5.74 (~sP82_prd|(sP86_prd&(~op(e1,e3)=e1|(op(e1,e1)=e3&~e1=unit))))&(sP82_prd|(~sP86_prd|(op(e1,e3)=e1&(~op(e1,e1)=e3|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f927])).
% 0.14/5.74 fof(f929,plain,(
% 0.14/5.74 ~sP82_prd|sP86_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f928])).
% 0.14/5.74 fof(f934,definition,(
% 0.14/5.74 sP87_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP87_prd])],[])).
% 0.14/5.74 fof(f935,plain,(
% 0.14/5.74 sP83_prd<=>(sP87_prd&(~op(e1,e2)=e2|(op(e1,e2)=e2&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f902,f934])).
% 0.14/5.74 fof(f936,plain,(
% 0.14/5.74 (~sP83_prd|(sP87_prd&(~op(e1,e2)=e2|(op(e1,e2)=e2&~e2=unit))))&(sP83_prd|(~sP87_prd|(op(e1,e2)=e2&(~op(e1,e2)=e2|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f935])).
% 0.14/5.74 fof(f937,plain,(
% 0.14/5.74 ~sP83_prd|sP87_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f936])).
% 0.14/5.74 fof(f940,plain,(
% 0.14/5.74 sP83_prd|~sP87_prd|op(e1,e2)=e2),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f936])).
% 0.14/5.74 fof(f941,plain,(
% 0.14/5.74 sP83_prd|~sP87_prd|~op(e1,e2)=e2|e2=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f936])).
% 0.14/5.74 fof(f950,definition,(
% 0.14/5.74 sP89_prd<=>((((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP89_prd])],[])).
% 0.14/5.74 fof(f951,plain,(
% 0.14/5.74 sP85_prd<=>(sP89_prd&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f918,f950])).
% 0.14/5.74 fof(f952,plain,(
% 0.14/5.74 (~sP85_prd|(sP89_prd&(~op(e1,e3)=e0|(op(e1,e0)=e3&~e0=unit))))&(sP85_prd|(~sP89_prd|(op(e1,e3)=e0&(~op(e1,e0)=e3|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f951])).
% 0.14/5.74 fof(f953,plain,(
% 0.14/5.74 ~sP85_prd|sP89_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f952])).
% 0.14/5.74 fof(f955,plain,(
% 0.14/5.74 ~sP85_prd|~op(e1,e3)=e0|~e0=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f952])).
% 0.14/5.74 fof(f956,plain,(
% 0.14/5.74 sP85_prd|~sP89_prd|op(e1,e3)=e0),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f952])).
% 0.14/5.74 fof(f958,definition,(
% 0.14/5.74 sP90_prd<=>(((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP90_prd])],[])).
% 0.14/5.74 fof(f959,plain,(
% 0.14/5.74 sP86_prd<=>(sP90_prd&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f926,f958])).
% 0.14/5.74 fof(f960,plain,(
% 0.14/5.74 (~sP86_prd|(sP90_prd&(~op(e1,e2)=e1|(op(e1,e1)=e2&~e1=unit))))&(sP86_prd|(~sP90_prd|(op(e1,e2)=e1&(~op(e1,e1)=e2|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f959])).
% 0.14/5.74 fof(f961,plain,(
% 0.14/5.74 ~sP86_prd|sP90_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f960])).
% 0.14/5.74 fof(f966,definition,(
% 0.14/5.74 sP91_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP91_prd])],[])).
% 0.14/5.74 fof(f967,plain,(
% 0.14/5.74 sP87_prd<=>(sP91_prd&(~op(e1,e1)=e2|(op(e1,e2)=e1&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f934,f966])).
% 0.14/5.74 fof(f968,plain,(
% 0.14/5.74 (~sP87_prd|(sP91_prd&(~op(e1,e1)=e2|(op(e1,e2)=e1&~e2=unit))))&(sP87_prd|(~sP91_prd|(op(e1,e1)=e2&(~op(e1,e2)=e1|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f967])).
% 0.14/5.74 fof(f969,plain,(
% 0.14/5.74 ~sP87_prd|sP91_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f968])).
% 0.14/5.74 fof(f970,plain,(
% 0.14/5.74 ~sP87_prd|~op(e1,e1)=e2|op(e1,e2)=e1),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f968])).
% 0.14/5.74 fof(f982,definition,(
% 0.14/5.74 sP93_prd<=>(((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP93_prd])],[])).
% 0.14/5.74 fof(f983,plain,(
% 0.14/5.74 sP89_prd<=>(sP93_prd&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f950,f982])).
% 0.14/5.74 fof(f984,plain,(
% 0.14/5.74 (~sP89_prd|(sP93_prd&(~op(e1,e2)=e0|(op(e1,e0)=e2&~e0=unit))))&(sP89_prd|(~sP93_prd|(op(e1,e2)=e0&(~op(e1,e0)=e2|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f983])).
% 0.14/5.74 fof(f985,plain,(
% 0.14/5.74 ~sP89_prd|sP93_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f984])).
% 0.14/5.74 fof(f987,plain,(
% 0.14/5.74 ~sP89_prd|~op(e1,e2)=e0|~e0=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f984])).
% 0.14/5.74 fof(f988,plain,(
% 0.14/5.74 sP89_prd|~sP93_prd|op(e1,e2)=e0),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f984])).
% 0.14/5.74 fof(f990,definition,(
% 0.14/5.74 sP94_prd<=>((((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP94_prd])],[])).
% 0.14/5.74 fof(f991,plain,(
% 0.14/5.74 sP90_prd<=>(sP94_prd&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f958,f990])).
% 0.14/5.74 fof(f992,plain,(
% 0.14/5.74 (~sP90_prd|(sP94_prd&(~op(e1,e1)=e1|(op(e1,e1)=e1&~e1=unit))))&(sP90_prd|(~sP94_prd|(op(e1,e1)=e1&(~op(e1,e1)=e1|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f991])).
% 0.14/5.74 fof(f993,plain,(
% 0.14/5.74 ~sP90_prd|sP94_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f992])).
% 0.14/5.74 fof(f995,plain,(
% 0.14/5.74 ~sP90_prd|~op(e1,e1)=e1|~e1=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f992])).
% 0.14/5.74 fof(f996,plain,(
% 0.14/5.74 sP90_prd|~sP94_prd|op(e1,e1)=e1),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f992])).
% 0.14/5.74 fof(f998,definition,(
% 0.14/5.74 sP95_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP95_prd])],[])).
% 0.14/5.74 fof(f999,plain,(
% 0.14/5.74 sP91_prd<=>(sP95_prd&(~op(e1,e0)=e2|(op(e1,e2)=e0&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f966,f998])).
% 0.14/5.74 fof(f1000,plain,(
% 0.14/5.74 (~sP91_prd|(sP95_prd&(~op(e1,e0)=e2|(op(e1,e2)=e0&~e2=unit))))&(sP91_prd|(~sP95_prd|(op(e1,e0)=e2&(~op(e1,e2)=e0|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f999])).
% 0.14/5.74 fof(f1001,plain,(
% 0.14/5.74 ~sP91_prd|sP95_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1000])).
% 0.14/5.74 fof(f1014,definition,(
% 0.14/5.74 sP97_prd<=>((((((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP97_prd])],[])).
% 0.14/5.74 fof(f1015,plain,(
% 0.14/5.74 sP93_prd<=>(sP97_prd&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f982,f1014])).
% 0.14/5.74 fof(f1016,plain,(
% 0.14/5.74 (~sP93_prd|(sP97_prd&(~op(e1,e1)=e0|(op(e1,e0)=e1&~e0=unit))))&(sP93_prd|(~sP97_prd|(op(e1,e1)=e0&(~op(e1,e0)=e1|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f1015])).
% 0.14/5.74 fof(f1017,plain,(
% 0.14/5.74 ~sP93_prd|sP97_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1016])).
% 0.14/5.74 fof(f1019,plain,(
% 0.14/5.74 ~sP93_prd|~op(e1,e1)=e0|~e0=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1016])).
% 0.14/5.74 fof(f1020,plain,(
% 0.14/5.74 sP93_prd|~sP97_prd|op(e1,e1)=e0),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1016])).
% 0.14/5.74 fof(f1022,definition,(
% 0.14/5.74 sP98_prd<=>(((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP98_prd])],[])).
% 0.14/5.74 fof(f1023,plain,(
% 0.14/5.74 sP94_prd<=>(sP98_prd&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f990,f1022])).
% 0.14/5.74 fof(f1024,plain,(
% 0.14/5.74 (~sP94_prd|(sP98_prd&(~op(e1,e0)=e1|(op(e1,e1)=e0&~e1=unit))))&(sP94_prd|(~sP98_prd|(op(e1,e0)=e1&(~op(e1,e1)=e0|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f1023])).
% 0.14/5.74 fof(f1025,plain,(
% 0.14/5.74 ~sP94_prd|sP98_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1024])).
% 0.14/5.74 fof(f1030,definition,(
% 0.14/5.74 sP99_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP99_prd])],[])).
% 0.14/5.74 fof(f1031,plain,(
% 0.14/5.74 sP95_prd<=>(sP99_prd&(~op(e0,e4)=e2|(op(e0,e2)=e4&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f998,f1030])).
% 0.14/5.74 fof(f1032,plain,(
% 0.14/5.74 (~sP95_prd|(sP99_prd&(~op(e0,e4)=e2|(op(e0,e2)=e4&~e2=unit))))&(sP95_prd|(~sP99_prd|(op(e0,e4)=e2&(~op(e0,e2)=e4|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f1031])).
% 0.14/5.74 fof(f1033,plain,(
% 0.14/5.74 ~sP95_prd|sP99_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1032])).
% 0.14/5.74 fof(f1034,plain,(
% 0.14/5.74 ~sP95_prd|~op(e0,e4)=e2|op(e0,e2)=e4),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1032])).
% 0.14/5.74 fof(f1036,plain,(
% 0.14/5.74 sP95_prd|~sP99_prd|op(e0,e4)=e2),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1032])).
% 0.14/5.74 fof(f1046,definition,(
% 0.14/5.74 sP101_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP101_prd])],[])).
% 0.14/5.74 fof(f1047,plain,(
% 0.14/5.74 sP97_prd<=>(sP101_prd&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f1014,f1046])).
% 0.14/5.74 fof(f1048,plain,(
% 0.14/5.74 (~sP97_prd|(sP101_prd&(~op(e1,e0)=e0|(op(e1,e0)=e0&~e0=unit))))&(sP97_prd|(~sP101_prd|(op(e1,e0)=e0&(~op(e1,e0)=e0|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f1047])).
% 0.14/5.74 fof(f1049,plain,(
% 0.14/5.74 ~sP97_prd|sP101_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1048])).
% 0.14/5.74 fof(f1051,plain,(
% 0.14/5.74 ~sP97_prd|~op(e1,e0)=e0|~e0=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1048])).
% 0.14/5.74 fof(f1052,plain,(
% 0.14/5.74 sP97_prd|~sP101_prd|op(e1,e0)=e0),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1048])).
% 0.14/5.74 fof(f1053,plain,(
% 0.14/5.74 sP97_prd|~sP101_prd|~op(e1,e0)=e0|e0=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1048])).
% 0.14/5.74 fof(f1054,definition,(
% 0.14/5.74 sP102_prd<=>((((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP102_prd])],[])).
% 0.14/5.74 fof(f1055,plain,(
% 0.14/5.74 sP98_prd<=>(sP102_prd&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f1022,f1054])).
% 0.14/5.74 fof(f1056,plain,(
% 0.14/5.74 (~sP98_prd|(sP102_prd&(~op(e0,e4)=e1|(op(e0,e1)=e4&~e1=unit))))&(sP98_prd|(~sP102_prd|(op(e0,e4)=e1&(~op(e0,e1)=e4|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f1055])).
% 0.14/5.74 fof(f1057,plain,(
% 0.14/5.74 ~sP98_prd|sP102_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1056])).
% 0.14/5.74 fof(f1060,plain,(
% 0.14/5.74 sP98_prd|~sP102_prd|op(e0,e4)=e1),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1056])).
% 0.14/5.74 fof(f1062,definition,(
% 0.14/5.74 sP103_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP103_prd])],[])).
% 0.14/5.74 fof(f1063,plain,(
% 0.14/5.74 sP99_prd<=>(sP103_prd&(~op(e0,e3)=e2|(op(e0,e2)=e3&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f1030,f1062])).
% 0.14/5.74 fof(f1064,plain,(
% 0.14/5.74 (~sP99_prd|(sP103_prd&(~op(e0,e3)=e2|(op(e0,e2)=e3&~e2=unit))))&(sP99_prd|(~sP103_prd|(op(e0,e3)=e2&(~op(e0,e2)=e3|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f1063])).
% 0.14/5.74 fof(f1066,plain,(
% 0.14/5.74 ~sP99_prd|~op(e0,e3)=e2|op(e0,e2)=e3),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1064])).
% 0.14/5.74 fof(f1068,plain,(
% 0.14/5.74 sP99_prd|~sP103_prd|op(e0,e3)=e2),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1064])).
% 0.14/5.74 fof(f1069,plain,(
% 0.14/5.74 sP99_prd|~sP103_prd|~op(e0,e2)=e3|e2=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1064])).
% 0.14/5.74 fof(f1078,definition,(
% 0.14/5.74 sP105_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP105_prd])],[])).
% 0.14/5.74 fof(f1079,plain,(
% 0.14/5.74 sP101_prd<=>(sP105_prd&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f1046,f1078])).
% 0.14/5.74 fof(f1080,plain,(
% 0.14/5.74 (~sP101_prd|(sP105_prd&(~op(e0,e4)=e0|(op(e0,e0)=e4&~e0=unit))))&(sP101_prd|(~sP105_prd|(op(e0,e4)=e0&(~op(e0,e0)=e4|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f1079])).
% 0.14/5.74 fof(f1081,plain,(
% 0.14/5.74 ~sP101_prd|sP105_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1080])).
% 0.14/5.74 fof(f1084,plain,(
% 0.14/5.74 sP101_prd|~sP105_prd|op(e0,e4)=e0),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1080])).
% 0.14/5.74 fof(f1086,definition,(
% 0.14/5.74 sP106_prd<=>(((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP106_prd])],[])).
% 0.14/5.74 fof(f1087,plain,(
% 0.14/5.74 sP102_prd<=>(sP106_prd&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f1054,f1086])).
% 0.14/5.74 fof(f1088,plain,(
% 0.14/5.74 (~sP102_prd|(sP106_prd&(~op(e0,e3)=e1|(op(e0,e1)=e3&~e1=unit))))&(sP102_prd|(~sP106_prd|(op(e0,e3)=e1&(~op(e0,e1)=e3|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f1087])).
% 0.14/5.74 fof(f1089,plain,(
% 0.14/5.74 ~sP102_prd|sP106_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1088])).
% 0.14/5.74 fof(f1090,plain,(
% 0.14/5.74 ~sP102_prd|~op(e0,e3)=e1|op(e0,e1)=e3),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1088])).
% 0.14/5.74 fof(f1094,definition,(
% 0.14/5.74 sP107_prd<=>((~op(e0,e0)=e2|(op(e0,e2)=e0&~e2=unit))&(~op(e0,e1)=e2|(op(e0,e2)=e1&~e2=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP107_prd])],[])).
% 0.14/5.74 fof(f1095,plain,(
% 0.14/5.74 sP103_prd<=>(sP107_prd&(~op(e0,e2)=e2|(op(e0,e2)=e2&~e2=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f1062,f1094])).
% 0.14/5.74 fof(f1096,plain,(
% 0.14/5.74 (~sP103_prd|(sP107_prd&(~op(e0,e2)=e2|(op(e0,e2)=e2&~e2=unit))))&(sP103_prd|(~sP107_prd|(op(e0,e2)=e2&(~op(e0,e2)=e2|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f1095])).
% 0.14/5.74 fof(f1100,plain,(
% 0.14/5.74 sP103_prd|~sP107_prd|op(e0,e2)=e2),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1096])).
% 0.14/5.74 fof(f1101,plain,(
% 0.14/5.74 sP103_prd|~sP107_prd|~op(e0,e2)=e2|e2=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1096])).
% 0.14/5.74 fof(f1111,definition,(
% 0.14/5.74 sP108_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)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP108_prd])],[])).
% 0.14/5.74 fof(f1112,plain,(
% 0.14/5.74 sP105_prd<=>(sP108_prd&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f1078,f1111])).
% 0.14/5.74 fof(f1113,plain,(
% 0.14/5.74 (~sP105_prd|(sP108_prd&(~op(e0,e3)=e0|(op(e0,e0)=e3&~e0=unit))))&(sP105_prd|(~sP108_prd|(op(e0,e3)=e0&(~op(e0,e0)=e3|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f1112])).
% 0.14/5.74 fof(f1114,plain,(
% 0.14/5.74 ~sP105_prd|sP108_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1113])).
% 0.14/5.74 fof(f1116,plain,(
% 0.14/5.74 ~sP105_prd|~op(e0,e3)=e0|~e0=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1113])).
% 0.14/5.74 fof(f1117,plain,(
% 0.14/5.74 sP105_prd|~sP108_prd|op(e0,e3)=e0),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1113])).
% 0.14/5.74 fof(f1119,definition,(
% 0.14/5.74 sP109_prd<=>((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP109_prd])],[])).
% 0.14/5.74 fof(f1120,plain,(
% 0.14/5.74 sP106_prd<=>(sP109_prd&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f1086,f1119])).
% 0.14/5.74 fof(f1121,plain,(
% 0.14/5.74 (~sP106_prd|(sP109_prd&(~op(e0,e2)=e1|(op(e0,e1)=e2&~e1=unit))))&(sP106_prd|(~sP109_prd|(op(e0,e2)=e1&(~op(e0,e1)=e2|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f1120])).
% 0.14/5.74 fof(f1122,plain,(
% 0.14/5.74 ~sP106_prd|sP109_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1121])).
% 0.14/5.74 fof(f1123,plain,(
% 0.14/5.74 ~sP106_prd|~op(e0,e2)=e1|op(e0,e1)=e2),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1121])).
% 0.14/5.74 fof(f1127,plain,(
% 0.14/5.74 (~sP107_prd|((~op(e0,e0)=e2|(op(e0,e2)=e0&~e2=unit))&(~op(e0,e1)=e2|(op(e0,e2)=e1&~e2=unit))))&(sP107_prd|((op(e0,e0)=e2&(~op(e0,e2)=e0|e2=unit))|(op(e0,e1)=e2&(~op(e0,e2)=e1|e2=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f1094])).
% 0.14/5.74 fof(f1132,plain,(
% 0.14/5.74 sP107_prd|op(e0,e0)=e2|op(e0,e1)=e2),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1127])).
% 0.14/5.74 fof(f1136,definition,(
% 0.14/5.74 sP110_prd<=>((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit)))),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sP110_prd])],[])).
% 0.14/5.74 fof(f1137,plain,(
% 0.14/5.74 sP108_prd<=>(sP110_prd&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit)))),
% 0.14/5.74 inference(formula_renaming,[status(thm)],[f1111,f1136])).
% 0.14/5.74 fof(f1138,plain,(
% 0.14/5.74 (~sP108_prd|(sP110_prd&(~op(e0,e2)=e0|(op(e0,e0)=e2&~e0=unit))))&(sP108_prd|(~sP110_prd|(op(e0,e2)=e0&(~op(e0,e0)=e2|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f1137])).
% 0.14/5.74 fof(f1139,plain,(
% 0.14/5.74 ~sP108_prd|sP110_prd),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1138])).
% 0.14/5.74 fof(f1141,plain,(
% 0.14/5.74 ~sP108_prd|~op(e0,e2)=e0|~e0=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1138])).
% 0.14/5.74 fof(f1142,plain,(
% 0.14/5.74 sP108_prd|~sP110_prd|op(e0,e2)=e0),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1138])).
% 0.14/5.74 fof(f1144,plain,(
% 0.14/5.74 (~sP109_prd|((~op(e0,e0)=e1|(op(e0,e1)=e0&~e1=unit))&(~op(e0,e1)=e1|(op(e0,e1)=e1&~e1=unit))))&(sP109_prd|((op(e0,e0)=e1&(~op(e0,e1)=e0|e1=unit))|(op(e0,e1)=e1&(~op(e0,e1)=e1|e1=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f1119])).
% 0.14/5.74 fof(f1148,plain,(
% 0.14/5.74 ~sP109_prd|~op(e0,e1)=e1|~e1=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1144])).
% 0.14/5.74 fof(f1149,plain,(
% 0.14/5.74 sP109_prd|op(e0,e0)=e1|op(e0,e1)=e1),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1144])).
% 0.14/5.74 fof(f1153,plain,(
% 0.14/5.74 (~sP110_prd|((~op(e0,e0)=e0|(op(e0,e0)=e0&~e0=unit))&(~op(e0,e1)=e0|(op(e0,e0)=e1&~e0=unit))))&(sP110_prd|((op(e0,e0)=e0&(~op(e0,e0)=e0|e0=unit))|(op(e0,e1)=e0&(~op(e0,e0)=e1|e0=unit))))),
% 0.14/5.74 inference(NNF_transformation,[status(thm)],[f1136])).
% 0.14/5.74 fof(f1155,plain,(
% 0.14/5.74 ~sP110_prd|~op(e0,e0)=e0|~e0=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1153])).
% 0.14/5.74 fof(f1157,plain,(
% 0.14/5.74 ~sP110_prd|~op(e0,e1)=e0|~e0=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1153])).
% 0.14/5.74 fof(f1158,plain,(
% 0.14/5.74 sP110_prd|op(e0,e0)=e0|op(e0,e1)=e0),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1153])).
% 0.14/5.74 fof(f1159,plain,(
% 0.14/5.74 sP110_prd|op(e0,e0)=e0|~op(e0,e0)=e1|e0=unit),
% 0.14/5.74 inference(cnf_transformation,[status(thm)],[f1153])).
% 0.14/5.74 fof(f1162,definition,(
% 0.14/5.74 sQ0_spl <=> (op(e0,e0)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1163,plain,(
% 0.14/5.74 op(e0,e0)=e0|~sQ0_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1162])).
% 0.14/5.74 fof(f1165,definition,(
% 0.14/5.74 sQ1_spl <=> (op(e0,e0)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1166,plain,(
% 0.14/5.74 op(e0,e0)=e1|~sQ1_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1165])).
% 0.14/5.74 fof(f1168,definition,(
% 0.14/5.74 sQ2_spl <=> (op(e0,e0)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1169,plain,(
% 0.14/5.74 op(e0,e0)=e2|~sQ2_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1168])).
% 0.14/5.74 fof(f1178,definition,(
% 0.14/5.74 sQ5_spl <=> (op(e0,e1)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1179,plain,(
% 0.14/5.74 op(e0,e1)=e0|~sQ5_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1178])).
% 0.14/5.74 fof(f1181,definition,(
% 0.14/5.74 sQ6_spl <=> (op(e0,e1)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1182,plain,(
% 0.14/5.74 op(e0,e1)=e1|~sQ6_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1181])).
% 0.14/5.74 fof(f1184,definition,(
% 0.14/5.74 sQ7_spl <=> (op(e0,e1)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1185,plain,(
% 0.14/5.74 op(e0,e1)=e2|~sQ7_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1184])).
% 0.14/5.74 fof(f1187,definition,(
% 0.14/5.74 sQ8_spl <=> (op(e0,e1)=e3)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1188,plain,(
% 0.14/5.74 op(e0,e1)=e3|~sQ8_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1187])).
% 0.14/5.74 fof(f1194,definition,(
% 0.14/5.74 sQ10_spl <=> (op(e0,e2)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1197,definition,(
% 0.14/5.74 sQ11_spl <=> (op(e0,e2)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1200,definition,(
% 0.14/5.74 sQ12_spl <=> (op(e0,e2)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1201,plain,(
% 0.14/5.74 op(e0,e2)=e2|~sQ12_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1200])).
% 0.14/5.74 fof(f1203,definition,(
% 0.14/5.74 sQ13_spl <=> (op(e0,e2)=e3)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1206,definition,(
% 0.14/5.74 sQ14_spl <=> (op(e0,e2)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1207,plain,(
% 0.14/5.74 op(e0,e2)=e4|~sQ14_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1206])).
% 0.14/5.74 fof(f1209,plain,(
% 0.14/5.74 sQ10_spl|sQ11_spl|sQ12_spl|sQ13_spl|sQ14_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f11,f1194,f1197,f1200,f1203,f1206])).
% 0.14/5.74 fof(f1210,definition,(
% 0.14/5.74 sQ15_spl <=> (op(e0,e3)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1213,definition,(
% 0.14/5.74 sQ16_spl <=> (op(e0,e3)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1216,definition,(
% 0.14/5.74 sQ17_spl <=> (op(e0,e3)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1217,plain,(
% 0.14/5.74 op(e0,e3)=e2|~sQ17_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1216])).
% 0.14/5.74 fof(f1219,definition,(
% 0.14/5.74 sQ18_spl <=> (op(e0,e3)=e3)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1220,plain,(
% 0.14/5.74 op(e0,e3)=e3|~sQ18_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1219])).
% 0.14/5.74 fof(f1221,plain,(
% 0.14/5.74 ~op(e0,e3)=e3|sQ18_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1219])).
% 0.14/5.74 fof(f1222,definition,(
% 0.14/5.74 sQ19_spl <=> (op(e0,e3)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1223,plain,(
% 0.14/5.74 op(e0,e3)=e4|~sQ19_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1222])).
% 0.14/5.74 fof(f1226,definition,(
% 0.14/5.74 sQ20_spl <=> (op(e0,e4)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1227,plain,(
% 0.14/5.74 op(e0,e4)=e0|~sQ20_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1226])).
% 0.14/5.74 fof(f1229,definition,(
% 0.14/5.74 sQ21_spl <=> (op(e0,e4)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1230,plain,(
% 0.14/5.74 op(e0,e4)=e1|~sQ21_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1229])).
% 0.14/5.74 fof(f1232,definition,(
% 0.14/5.74 sQ22_spl <=> (op(e0,e4)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1233,plain,(
% 0.14/5.74 op(e0,e4)=e2|~sQ22_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1232])).
% 0.14/5.74 fof(f1235,definition,(
% 0.14/5.74 sQ23_spl <=> (op(e0,e4)=e3)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1238,definition,(
% 0.14/5.74 sQ24_spl <=> (op(e0,e4)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1239,plain,(
% 0.14/5.74 op(e0,e4)=e4|~sQ24_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1238])).
% 0.14/5.74 fof(f1241,plain,(
% 0.14/5.74 sQ20_spl|sQ21_spl|sQ22_spl|sQ23_spl|sQ24_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f13,f1226,f1229,f1232,f1235,f1238])).
% 0.14/5.74 fof(f1242,definition,(
% 0.14/5.74 sQ25_spl <=> (op(e1,e0)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1243,plain,(
% 0.14/5.74 op(e1,e0)=e0|~sQ25_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1242])).
% 0.14/5.74 fof(f1245,definition,(
% 0.14/5.74 sQ26_spl <=> (op(e1,e0)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1248,definition,(
% 0.14/5.74 sQ27_spl <=> (op(e1,e0)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1258,definition,(
% 0.14/5.74 sQ30_spl <=> (op(e1,e1)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1259,plain,(
% 0.14/5.74 op(e1,e1)=e0|~sQ30_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1258])).
% 0.14/5.74 fof(f1261,definition,(
% 0.14/5.74 sQ31_spl <=> (op(e1,e1)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1262,plain,(
% 0.14/5.74 op(e1,e1)=e1|~sQ31_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1261])).
% 0.14/5.74 fof(f1264,definition,(
% 0.14/5.74 sQ32_spl <=> (op(e1,e1)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1265,plain,(
% 0.14/5.74 op(e1,e1)=e2|~sQ32_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1264])).
% 0.14/5.74 fof(f1270,definition,(
% 0.14/5.74 sQ34_spl <=> (op(e1,e1)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1274,definition,(
% 0.14/5.74 sQ35_spl <=> (op(e1,e2)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1275,plain,(
% 0.14/5.74 op(e1,e2)=e0|~sQ35_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1274])).
% 0.14/5.74 fof(f1277,definition,(
% 0.14/5.74 sQ36_spl <=> (op(e1,e2)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1278,plain,(
% 0.14/5.74 op(e1,e2)=e1|~sQ36_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1277])).
% 0.14/5.74 fof(f1280,definition,(
% 0.14/5.74 sQ37_spl <=> (op(e1,e2)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1281,plain,(
% 0.14/5.74 op(e1,e2)=e2|~sQ37_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1280])).
% 0.14/5.74 fof(f1286,definition,(
% 0.14/5.74 sQ39_spl <=> (op(e1,e2)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1287,plain,(
% 0.14/5.74 op(e1,e2)=e4|~sQ39_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1286])).
% 0.14/5.74 fof(f1290,definition,(
% 0.14/5.74 sQ40_spl <=> (op(e1,e3)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1293,definition,(
% 0.14/5.74 sQ41_spl <=> (op(e1,e3)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1296,definition,(
% 0.14/5.74 sQ42_spl <=> (op(e1,e3)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1302,definition,(
% 0.14/5.74 sQ44_spl <=> (op(e1,e3)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1306,definition,(
% 0.14/5.74 sQ45_spl <=> (op(e1,e4)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1307,plain,(
% 0.14/5.74 op(e1,e4)=e0|~sQ45_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1306])).
% 0.14/5.74 fof(f1309,definition,(
% 0.14/5.74 sQ46_spl <=> (op(e1,e4)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1310,plain,(
% 0.14/5.74 op(e1,e4)=e1|~sQ46_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1309])).
% 0.14/5.74 fof(f1312,definition,(
% 0.14/5.74 sQ47_spl <=> (op(e1,e4)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1313,plain,(
% 0.14/5.74 op(e1,e4)=e2|~sQ47_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1312])).
% 0.14/5.74 fof(f1315,definition,(
% 0.14/5.74 sQ48_spl <=> (op(e1,e4)=e3)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1318,definition,(
% 0.14/5.74 sQ49_spl <=> (op(e1,e4)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1319,plain,(
% 0.14/5.74 op(e1,e4)=e4|~sQ49_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1318])).
% 0.14/5.74 fof(f1321,plain,(
% 0.14/5.74 sQ45_spl|sQ46_spl|sQ47_spl|sQ48_spl|sQ49_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f18,f1306,f1309,f1312,f1315,f1318])).
% 0.14/5.74 fof(f1322,definition,(
% 0.14/5.74 sQ50_spl <=> (op(e2,e0)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1325,definition,(
% 0.14/5.74 sQ51_spl <=> (op(e2,e0)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1326,plain,(
% 0.14/5.74 op(e2,e0)=e1|~sQ51_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1325])).
% 0.14/5.74 fof(f1328,definition,(
% 0.14/5.74 sQ52_spl <=> (op(e2,e0)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1329,plain,(
% 0.14/5.74 op(e2,e0)=e2|~sQ52_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1328])).
% 0.14/5.74 fof(f1330,plain,(
% 0.14/5.74 ~op(e2,e0)=e2|sQ52_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1328])).
% 0.14/5.74 fof(f1331,definition,(
% 0.14/5.74 sQ53_spl <=> (op(e2,e0)=e3)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1338,definition,(
% 0.14/5.74 sQ55_spl <=> (op(e2,e1)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1339,plain,(
% 0.14/5.74 op(e2,e1)=e0|~sQ55_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1338])).
% 0.14/5.74 fof(f1341,definition,(
% 0.14/5.74 sQ56_spl <=> (op(e2,e1)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1342,plain,(
% 0.14/5.74 op(e2,e1)=e1|~sQ56_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1341])).
% 0.14/5.74 fof(f1344,definition,(
% 0.14/5.74 sQ57_spl <=> (op(e2,e1)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1347,definition,(
% 0.14/5.74 sQ58_spl <=> (op(e2,e1)=e3)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1350,definition,(
% 0.14/5.74 sQ59_spl <=> (op(e2,e1)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1351,plain,(
% 0.14/5.74 op(e2,e1)=e4|~sQ59_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1350])).
% 0.14/5.74 fof(f1353,plain,(
% 0.14/5.74 sQ55_spl|sQ56_spl|sQ57_spl|sQ58_spl|sQ59_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f20,f1338,f1341,f1344,f1347,f1350])).
% 0.14/5.74 fof(f1354,definition,(
% 0.14/5.74 sQ60_spl <=> (op(e2,e2)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1355,plain,(
% 0.14/5.74 op(e2,e2)=e0|~sQ60_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1354])).
% 0.14/5.74 fof(f1357,definition,(
% 0.14/5.74 sQ61_spl <=> (op(e2,e2)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1358,plain,(
% 0.14/5.74 op(e2,e2)=e1|~sQ61_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1357])).
% 0.14/5.74 fof(f1360,definition,(
% 0.14/5.74 sQ62_spl <=> (op(e2,e2)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1361,plain,(
% 0.14/5.74 op(e2,e2)=e2|~sQ62_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1360])).
% 0.14/5.74 fof(f1363,definition,(
% 0.14/5.74 sQ63_spl <=> (op(e2,e2)=e3)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1364,plain,(
% 0.14/5.74 op(e2,e2)=e3|~sQ63_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1363])).
% 0.14/5.74 fof(f1366,definition,(
% 0.14/5.74 sQ64_spl <=> (op(e2,e2)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1368,plain,(
% 0.14/5.74 ~op(e2,e2)=e4|sQ64_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1366])).
% 0.14/5.74 fof(f1370,definition,(
% 0.14/5.74 sQ65_spl <=> (op(e2,e3)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1373,definition,(
% 0.14/5.74 sQ66_spl <=> (op(e2,e3)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1376,definition,(
% 0.14/5.74 sQ67_spl <=> (op(e2,e3)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1377,plain,(
% 0.14/5.74 op(e2,e3)=e2|~sQ67_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1376])).
% 0.14/5.74 fof(f1379,definition,(
% 0.14/5.74 sQ68_spl <=> (op(e2,e3)=e3)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1380,plain,(
% 0.14/5.74 op(e2,e3)=e3|~sQ68_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1379])).
% 0.14/5.74 fof(f1382,definition,(
% 0.14/5.74 sQ69_spl <=> (op(e2,e3)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1383,plain,(
% 0.14/5.74 op(e2,e3)=e4|~sQ69_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1382])).
% 0.14/5.74 fof(f1385,plain,(
% 0.14/5.74 sQ65_spl|sQ66_spl|sQ67_spl|sQ68_spl|sQ69_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f22,f1370,f1373,f1376,f1379,f1382])).
% 0.14/5.74 fof(f1386,definition,(
% 0.14/5.74 sQ70_spl <=> (op(e2,e4)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1387,plain,(
% 0.14/5.74 op(e2,e4)=e0|~sQ70_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1386])).
% 0.14/5.74 fof(f1389,definition,(
% 0.14/5.74 sQ71_spl <=> (op(e2,e4)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1390,plain,(
% 0.14/5.74 op(e2,e4)=e1|~sQ71_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1389])).
% 0.14/5.74 fof(f1392,definition,(
% 0.14/5.74 sQ72_spl <=> (op(e2,e4)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1393,plain,(
% 0.14/5.74 op(e2,e4)=e2|~sQ72_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1392])).
% 0.14/5.74 fof(f1395,definition,(
% 0.14/5.74 sQ73_spl <=> (op(e2,e4)=e3)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1396,plain,(
% 0.14/5.74 op(e2,e4)=e3|~sQ73_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1395])).
% 0.14/5.74 fof(f1397,plain,(
% 0.14/5.74 ~op(e2,e4)=e3|sQ73_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1395])).
% 0.14/5.74 fof(f1398,definition,(
% 0.14/5.74 sQ74_spl <=> (op(e2,e4)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1399,plain,(
% 0.14/5.74 op(e2,e4)=e4|~sQ74_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1398])).
% 0.14/5.74 fof(f1402,definition,(
% 0.14/5.74 sQ75_spl <=> (op(e3,e0)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1403,plain,(
% 0.14/5.74 op(e3,e0)=e0|~sQ75_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1402])).
% 0.14/5.74 fof(f1405,definition,(
% 0.14/5.74 sQ76_spl <=> (op(e3,e0)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1406,plain,(
% 0.14/5.74 op(e3,e0)=e1|~sQ76_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1405])).
% 0.14/5.74 fof(f1418,definition,(
% 0.14/5.74 sQ80_spl <=> (op(e3,e1)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1420,plain,(
% 0.14/5.74 ~op(e3,e1)=e0|sQ80_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1418])).
% 0.14/5.74 fof(f1421,definition,(
% 0.14/5.74 sQ81_spl <=> (op(e3,e1)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1422,plain,(
% 0.14/5.74 op(e3,e1)=e1|~sQ81_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1421])).
% 0.14/5.74 fof(f1424,definition,(
% 0.14/5.74 sQ82_spl <=> (op(e3,e1)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1425,plain,(
% 0.14/5.74 op(e3,e1)=e2|~sQ82_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1424])).
% 0.14/5.74 fof(f1430,definition,(
% 0.14/5.74 sQ84_spl <=> (op(e3,e1)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1431,plain,(
% 0.14/5.74 op(e3,e1)=e4|~sQ84_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1430])).
% 0.14/5.74 fof(f1434,definition,(
% 0.14/5.74 sQ85_spl <=> (op(e3,e2)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1435,plain,(
% 0.14/5.74 op(e3,e2)=e0|~sQ85_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1434])).
% 0.14/5.74 fof(f1446,definition,(
% 0.14/5.74 sQ89_spl <=> (op(e3,e2)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1447,plain,(
% 0.14/5.74 op(e3,e2)=e4|~sQ89_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1446])).
% 0.14/5.74 fof(f1466,definition,(
% 0.14/5.74 sQ95_spl <=> (op(e3,e4)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1467,plain,(
% 0.14/5.74 op(e3,e4)=e0|~sQ95_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1466])).
% 0.14/5.74 fof(f1469,definition,(
% 0.14/5.74 sQ96_spl <=> (op(e3,e4)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1470,plain,(
% 0.14/5.74 op(e3,e4)=e1|~sQ96_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1469])).
% 0.14/5.74 fof(f1471,plain,(
% 0.14/5.74 ~op(e3,e4)=e1|sQ96_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1469])).
% 0.14/5.74 fof(f1472,definition,(
% 0.14/5.74 sQ97_spl <=> (op(e3,e4)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1478,definition,(
% 0.14/5.74 sQ99_spl <=> (op(e3,e4)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1479,plain,(
% 0.14/5.74 op(e3,e4)=e4|~sQ99_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1478])).
% 0.14/5.74 fof(f1494,definition,(
% 0.14/5.74 sQ104_spl <=> (op(e4,e0)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1495,plain,(
% 0.14/5.74 op(e4,e0)=e4|~sQ104_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1494])).
% 0.14/5.74 fof(f1498,definition,(
% 0.14/5.74 sQ105_spl <=> (op(e4,e1)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1510,definition,(
% 0.14/5.74 sQ109_spl <=> (op(e4,e1)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1514,definition,(
% 0.14/5.74 sQ110_spl <=> (op(e4,e2)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1515,plain,(
% 0.14/5.74 op(e4,e2)=e0|~sQ110_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1514])).
% 0.14/5.74 fof(f1520,definition,(
% 0.14/5.74 sQ112_spl <=> (op(e4,e2)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1521,plain,(
% 0.14/5.74 op(e4,e2)=e2|~sQ112_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1520])).
% 0.14/5.74 fof(f1533,definition,(
% 0.14/5.74 sQ116_spl <=> (op(e4,e3)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1534,plain,(
% 0.14/5.74 op(e4,e3)=e1|~sQ116_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1533])).
% 0.14/5.74 fof(f1546,definition,(
% 0.14/5.74 sQ120_spl <=> (op(e4,e4)=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1547,plain,(
% 0.14/5.74 op(e4,e4)=e0|~sQ120_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1546])).
% 0.14/5.74 fof(f1549,definition,(
% 0.14/5.74 sQ121_spl <=> (op(e4,e4)=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1550,plain,(
% 0.14/5.74 op(e4,e4)=e1|~sQ121_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1549])).
% 0.14/5.74 fof(f1552,definition,(
% 0.14/5.74 sQ122_spl <=> (op(e4,e4)=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1553,plain,(
% 0.14/5.74 op(e4,e4)=e2|~sQ122_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1552])).
% 0.14/5.74 fof(f1555,definition,(
% 0.14/5.74 sQ123_spl <=> (op(e4,e4)=e3)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1558,definition,(
% 0.14/5.74 sQ124_spl <=> (op(e4,e4)=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1559,plain,(
% 0.14/5.74 op(e4,e4)=e4|~sQ124_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1558])).
% 0.14/5.74 fof(f1561,plain,(
% 0.14/5.74 sQ120_spl|sQ121_spl|sQ122_spl|sQ123_spl|sQ124_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f33,f1546,f1549,f1552,f1555,f1558])).
% 0.14/5.74 fof(f1562,definition,(
% 0.14/5.74 sQ125_spl <=> (unit=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1563,plain,(
% 0.14/5.74 unit=e0|~sQ125_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1562])).
% 0.14/5.74 fof(f1565,definition,(
% 0.14/5.74 sQ126_spl <=> (unit=e1)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1566,plain,(
% 0.14/5.74 unit=e1|~sQ126_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1565])).
% 0.14/5.74 fof(f1568,definition,(
% 0.14/5.74 sQ127_spl <=> (unit=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1569,plain,(
% 0.14/5.74 unit=e2|~sQ127_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1568])).
% 0.14/5.74 fof(f1571,definition,(
% 0.14/5.74 sQ128_spl <=> (unit=e3)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1572,plain,(
% 0.14/5.74 unit=e3|~sQ128_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1571])).
% 0.14/5.74 fof(f1574,definition,(
% 0.14/5.74 sQ129_spl <=> (unit=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1575,plain,(
% 0.14/5.74 unit=e4|~sQ129_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1574])).
% 0.14/5.74 fof(f1577,plain,(
% 0.14/5.74 sQ125_spl|sQ126_spl|sQ127_spl|sQ128_spl|sQ129_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f44,f1562,f1565,f1568,f1571,f1574])).
% 0.14/5.74 fof(f1578,plain,(
% 0.14/5.74 sQ0_spl|sQ5_spl|sQ10_spl|sQ15_spl|sQ20_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f45,f1162,f1178,f1194,f1210,f1226])).
% 0.14/5.74 fof(f1580,plain,(
% 0.14/5.74 sQ1_spl|sQ6_spl|sQ11_spl|sQ16_spl|sQ21_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f47,f1165,f1181,f1197,f1213,f1229])).
% 0.14/5.74 fof(f1582,plain,(
% 0.14/5.74 sQ2_spl|sQ7_spl|sQ12_spl|sQ17_spl|sQ22_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f49,f1168,f1184,f1200,f1216,f1232])).
% 0.14/5.74 fof(f1588,plain,(
% 0.14/5.74 sQ25_spl|sQ30_spl|sQ35_spl|sQ40_spl|sQ45_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f55,f1242,f1258,f1274,f1290,f1306])).
% 0.14/5.74 fof(f1598,plain,(
% 0.14/5.74 sQ50_spl|sQ55_spl|sQ60_spl|sQ65_spl|sQ70_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f65,f1322,f1338,f1354,f1370,f1386])).
% 0.14/5.74 fof(f1600,plain,(
% 0.14/5.74 sQ51_spl|sQ56_spl|sQ61_spl|sQ66_spl|sQ71_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f67,f1325,f1341,f1357,f1373,f1389])).
% 0.14/5.74 fof(f1619,plain,(
% 0.14/5.74 sQ20_spl|sQ45_spl|sQ70_spl|sQ95_spl|sQ120_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f86,f1226,f1306,f1386,f1466,f1546])).
% 0.14/5.74 fof(f1623,plain,(
% 0.14/5.74 sQ22_spl|sQ47_spl|sQ72_spl|sQ97_spl|sQ122_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f90,f1232,f1312,f1392,f1472,f1552])).
% 0.14/5.74 fof(f1680,definition,(
% 0.14/5.74 sQ144_spl <=> (sP5_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1707,plain,(
% 0.14/5.74 sQ144_spl|~sQ64_spl|sQ72_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f250,f1680,f1366,f1392])).
% 0.14/5.74 fof(f1795,definition,(
% 0.14/5.74 sQ159_spl <=> (sP11_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1798,definition,(
% 0.14/5.74 sQ160_spl <=> (sP12_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1801,plain,(
% 0.14/5.74 ~sQ144_spl|sQ159_spl|sQ160_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f316,f1680,f1795,f1798])).
% 0.14/5.74 fof(f1859,definition,(
% 0.14/5.74 sQ173_spl <=> (op(e2,op(e2,e4))=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1860,plain,(
% 0.14/5.74 op(e2,op(e2,e4))=e4|~sQ173_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1859])).
% 0.14/5.74 fof(f1869,definition,(
% 0.14/5.74 sQ175_spl <=> (sP18_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1872,definition,(
% 0.14/5.74 sQ176_spl <=> (sP19_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1875,plain,(
% 0.14/5.74 ~sQ159_spl|sQ175_spl|sQ176_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f362,f1795,f1869,f1872])).
% 0.14/5.74 fof(f1881,definition,(
% 0.14/5.74 sQ177_spl <=> (sP20_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1884,plain,(
% 0.14/5.74 ~sQ160_spl|sQ177_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f371,f1798,f1881])).
% 0.14/5.74 fof(f1919,definition,(
% 0.14/5.74 sQ184_spl <=> (op(e0,op(e0,e2))=e2)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1921,plain,(
% 0.14/5.74 ~op(e0,op(e0,e2))=e2|sQ184_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1919])).
% 0.14/5.74 fof(f1930,definition,(
% 0.14/5.74 sQ187_spl <=> (op(e2,op(e0,e2))=e0)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1931,plain,(
% 0.14/5.74 op(e2,op(e0,e2))=e0|~sQ187_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1930])).
% 0.14/5.74 fof(f1955,definition,(
% 0.14/5.74 sQ192_spl <=> (op(e0,op(e0,e4))=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1957,plain,(
% 0.14/5.74 ~op(e0,op(e0,e4))=e4|sQ192_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1955])).
% 0.14/5.74 fof(f1958,definition,(
% 0.14/5.74 sQ193_spl <=> (op(e1,op(e1,e4))=e4)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1960,plain,(
% 0.14/5.74 ~op(e1,op(e1,e4))=e4|sQ193_spl),
% 0.14/5.74 inference(component_clause,[status(thm)],[f1958])).
% 0.14/5.74 fof(f1973,definition,(
% 0.14/5.74 sQ196_spl <=> (sP21_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1976,definition,(
% 0.14/5.74 sQ197_spl <=> (sP22_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1979,plain,(
% 0.14/5.74 ~sQ175_spl|sQ196_spl|sQ197_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f416,f1869,f1973,f1976])).
% 0.14/5.74 fof(f1980,plain,(
% 0.14/5.74 ~sQ175_spl|sQ196_spl|~sQ121_spl|sQ109_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f417,f1869,f1973,f1549,f1510])).
% 0.14/5.74 fof(f1985,definition,(
% 0.14/5.74 sQ198_spl <=> (sP23_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1988,plain,(
% 0.14/5.74 ~sQ176_spl|sQ198_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f425,f1872,f1985])).
% 0.14/5.74 fof(f1993,definition,(
% 0.14/5.74 sQ199_spl <=> (sP24_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f1996,plain,(
% 0.14/5.74 ~sQ177_spl|sQ199_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f433,f1881,f1993])).
% 0.14/5.74 fof(f2001,definition,(
% 0.14/5.74 sQ200_spl <=> (sP25_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2004,plain,(
% 0.14/5.74 ~sQ196_spl|sQ200_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f441,f1973,f2001])).
% 0.14/5.74 fof(f2005,plain,(
% 0.14/5.74 ~sQ196_spl|~sQ120_spl|sQ104_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f442,f1973,f1546,f1494])).
% 0.14/5.74 fof(f2006,plain,(
% 0.14/5.74 ~sQ196_spl|~sQ120_spl|~sQ125_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f443,f1973,f1546,f1562])).
% 0.14/5.74 fof(f2009,definition,(
% 0.14/5.74 sQ201_spl <=> (sP26_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2012,plain,(
% 0.14/5.74 ~sQ197_spl|sQ201_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f449,f1976,f2009])).
% 0.14/5.74 fof(f2017,definition,(
% 0.14/5.74 sQ202_spl <=> (sP27_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2020,plain,(
% 0.14/5.74 ~sQ198_spl|sQ202_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f457,f1985,f2017])).
% 0.14/5.74 fof(f2025,definition,(
% 0.14/5.74 sQ203_spl <=> (sP28_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2028,plain,(
% 0.14/5.74 ~sQ199_spl|sQ203_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f465,f1993,f2025])).
% 0.14/5.74 fof(f2033,definition,(
% 0.14/5.74 sQ204_spl <=> (sP29_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2036,plain,(
% 0.14/5.74 ~sQ200_spl|sQ204_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f473,f2001,f2033])).
% 0.14/5.74 fof(f2041,definition,(
% 0.14/5.74 sQ205_spl <=> (sP30_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2044,plain,(
% 0.14/5.74 ~sQ201_spl|sQ205_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f481,f2009,f2041])).
% 0.14/5.74 fof(f2049,definition,(
% 0.14/5.74 sQ206_spl <=> (sP31_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2052,plain,(
% 0.14/5.74 ~sQ202_spl|sQ206_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f489,f2017,f2049])).
% 0.14/5.74 fof(f2057,definition,(
% 0.14/5.74 sQ207_spl <=> (sP32_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2060,plain,(
% 0.14/5.74 ~sQ203_spl|sQ207_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f497,f2025,f2057])).
% 0.14/5.74 fof(f2065,definition,(
% 0.14/5.74 sQ208_spl <=> (sP33_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2068,plain,(
% 0.14/5.74 ~sQ204_spl|sQ208_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f505,f2033,f2065])).
% 0.14/5.74 fof(f2073,definition,(
% 0.14/5.74 sQ209_spl <=> (sP34_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2076,plain,(
% 0.14/5.74 ~sQ205_spl|sQ209_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f513,f2041,f2073])).
% 0.14/5.74 fof(f2081,definition,(
% 0.14/5.74 sQ210_spl <=> (sP35_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2084,plain,(
% 0.14/5.74 ~sQ206_spl|sQ210_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f521,f2049,f2081])).
% 0.14/5.74 fof(f2089,definition,(
% 0.14/5.74 sQ211_spl <=> (sP36_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2092,plain,(
% 0.14/5.74 ~sQ207_spl|sQ211_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f529,f2057,f2089])).
% 0.14/5.74 fof(f2097,definition,(
% 0.14/5.74 sQ212_spl <=> (sP37_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2100,plain,(
% 0.14/5.74 ~sQ208_spl|sQ212_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f537,f2065,f2097])).
% 0.14/5.74 fof(f2105,definition,(
% 0.14/5.74 sQ213_spl <=> (sP38_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2108,plain,(
% 0.14/5.74 ~sQ209_spl|sQ213_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f545,f2073,f2105])).
% 0.14/5.74 fof(f2113,definition,(
% 0.14/5.74 sQ214_spl <=> (sP39_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2116,plain,(
% 0.14/5.74 ~sQ210_spl|sQ214_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f553,f2081,f2113])).
% 0.14/5.74 fof(f2117,plain,(
% 0.14/5.74 ~sQ210_spl|~sQ97_spl|sQ89_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f554,f2081,f1472,f1446])).
% 0.14/5.74 fof(f2121,definition,(
% 0.14/5.74 sQ215_spl <=> (sP40_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2124,plain,(
% 0.14/5.74 ~sQ211_spl|sQ215_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f561,f2089,f2121])).
% 0.14/5.74 fof(f2129,definition,(
% 0.14/5.74 sQ216_spl <=> (sP41_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2132,plain,(
% 0.14/5.74 ~sQ212_spl|sQ216_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f569,f2097,f2129])).
% 0.14/5.74 fof(f2137,definition,(
% 0.14/5.74 sQ217_spl <=> (sP42_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2140,plain,(
% 0.14/5.74 ~sQ213_spl|sQ217_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f577,f2105,f2137])).
% 0.14/5.74 fof(f2141,plain,(
% 0.14/5.74 ~sQ213_spl|~sQ96_spl|sQ84_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f578,f2105,f1469,f1430])).
% 0.14/5.74 fof(f2142,plain,(
% 0.14/5.74 ~sQ213_spl|~sQ96_spl|~sQ126_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f579,f2105,f1469,f1565])).
% 0.14/5.74 fof(f2145,definition,(
% 0.14/5.74 sQ218_spl <=> (sP43_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2148,plain,(
% 0.14/5.74 ~sQ214_spl|sQ218_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f585,f2113,f2145])).
% 0.14/5.74 fof(f2153,definition,(
% 0.14/5.74 sQ219_spl <=> (sP44_prd)),
% 0.14/5.74 introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition])).
% 0.14/5.74 fof(f2156,plain,(
% 0.14/5.74 ~sQ215_spl|sQ219_spl),
% 0.14/5.74 inference(split_clause,[status(thm)],[f593,f2121,f2153])).
% 0.14/5.74 fof(f2161,definition,(
% 0.14/5.75 sQ220_spl <=> (sP45_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2164,plain,(
% 0.14/5.75 ~sQ216_spl|sQ220_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f601,f2129,f2161])).
% 0.14/5.75 fof(f2169,definition,(
% 0.14/5.75 sQ221_spl <=> (sP46_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2172,plain,(
% 0.14/5.75 ~sQ217_spl|sQ221_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f609,f2137,f2169])).
% 0.14/5.75 fof(f2177,definition,(
% 0.14/5.75 sQ222_spl <=> (sP47_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2180,plain,(
% 0.14/5.75 ~sQ218_spl|sQ222_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f617,f2145,f2177])).
% 0.14/5.75 fof(f2185,definition,(
% 0.14/5.75 sQ223_spl <=> (sP48_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2188,plain,(
% 0.14/5.75 ~sQ219_spl|sQ223_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f625,f2153,f2185])).
% 0.14/5.75 fof(f2193,definition,(
% 0.14/5.75 sQ224_spl <=> (sP49_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2196,plain,(
% 0.14/5.75 ~sQ220_spl|sQ224_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f633,f2161,f2193])).
% 0.14/5.75 fof(f2201,definition,(
% 0.14/5.75 sQ225_spl <=> (sP50_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2204,plain,(
% 0.14/5.75 ~sQ221_spl|sQ225_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f641,f2169,f2201])).
% 0.14/5.75 fof(f2209,definition,(
% 0.14/5.75 sQ226_spl <=> (sP51_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2212,plain,(
% 0.14/5.75 ~sQ222_spl|sQ226_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f649,f2177,f2209])).
% 0.14/5.75 fof(f2217,definition,(
% 0.14/5.75 sQ227_spl <=> (sP52_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2220,plain,(
% 0.14/5.75 ~sQ223_spl|sQ227_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f657,f2185,f2217])).
% 0.14/5.75 fof(f2225,definition,(
% 0.14/5.75 sQ228_spl <=> (sP53_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2228,plain,(
% 0.14/5.75 ~sQ224_spl|sQ228_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f665,f2193,f2225])).
% 0.14/5.75 fof(f2233,definition,(
% 0.14/5.75 sQ229_spl <=> (sP54_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2236,plain,(
% 0.14/5.75 ~sQ225_spl|sQ229_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f673,f2201,f2233])).
% 0.14/5.75 fof(f2241,definition,(
% 0.14/5.75 sQ230_spl <=> (sP55_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2244,plain,(
% 0.14/5.75 ~sQ226_spl|sQ230_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f681,f2209,f2241])).
% 0.14/5.75 fof(f2253,plain,(
% 0.14/5.75 ~sQ227_spl|~sQ73_spl|sQ69_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f690,f2217,f1395,f1382])).
% 0.14/5.75 fof(f2257,definition,(
% 0.14/5.75 sQ232_spl <=> (sP57_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2260,plain,(
% 0.14/5.75 ~sQ228_spl|sQ232_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f697,f2225,f2257])).
% 0.14/5.75 fof(f2261,plain,(
% 0.14/5.75 ~sQ228_spl|~sQ80_spl|sQ76_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f698,f2225,f1418,f1405])).
% 0.14/5.75 fof(f2265,definition,(
% 0.14/5.75 sQ233_spl <=> (sP58_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2268,plain,(
% 0.14/5.75 ~sQ229_spl|sQ233_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f705,f2233,f2265])).
% 0.14/5.75 fof(f2273,definition,(
% 0.14/5.75 sQ234_spl <=> (sP59_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2276,plain,(
% 0.14/5.75 ~sQ230_spl|sQ234_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f713,f2241,f2273])).
% 0.14/5.75 fof(f2289,definition,(
% 0.14/5.75 sQ236_spl <=> (sP61_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2292,plain,(
% 0.14/5.75 ~sQ232_spl|sQ236_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f729,f2257,f2289])).
% 0.14/5.75 fof(f2297,definition,(
% 0.14/5.75 sQ237_spl <=> (sP62_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2300,plain,(
% 0.14/5.75 ~sQ233_spl|sQ237_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f737,f2265,f2297])).
% 0.14/5.75 fof(f2305,definition,(
% 0.14/5.75 sQ238_spl <=> (sP63_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2308,plain,(
% 0.14/5.75 ~sQ234_spl|sQ238_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f745,f2273,f2305])).
% 0.14/5.75 fof(f2309,plain,(
% 0.14/5.75 ~sQ234_spl|~sQ67_spl|sQ63_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f746,f2273,f1376,f1363])).
% 0.14/5.75 fof(f2321,definition,(
% 0.14/5.75 sQ240_spl <=> (sP65_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2324,plain,(
% 0.14/5.75 ~sQ236_spl|sQ240_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f761,f2289,f2321])).
% 0.14/5.75 fof(f2326,plain,(
% 0.14/5.75 ~sQ236_spl|~sQ70_spl|~sQ125_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f763,f2289,f1386,f1562])).
% 0.14/5.75 fof(f2327,plain,(
% 0.14/5.75 sQ236_spl|~sQ240_spl|sQ70_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f764,f2289,f2321,f1386])).
% 0.14/5.75 fof(f2329,definition,(
% 0.14/5.75 sQ241_spl <=> (sP66_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2332,plain,(
% 0.14/5.75 ~sQ237_spl|sQ241_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f769,f2297,f2329])).
% 0.14/5.75 fof(f2333,plain,(
% 0.14/5.75 ~sQ237_spl|~sQ66_spl|sQ58_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f770,f2297,f1373,f1347])).
% 0.14/5.75 fof(f2337,definition,(
% 0.14/5.75 sQ242_spl <=> (sP67_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2340,plain,(
% 0.14/5.75 ~sQ238_spl|sQ242_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f777,f2305,f2337])).
% 0.14/5.75 fof(f2353,definition,(
% 0.14/5.75 sQ244_spl <=> (sP69_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2356,plain,(
% 0.14/5.75 ~sQ240_spl|sQ244_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f793,f2321,f2353])).
% 0.14/5.75 fof(f2357,plain,(
% 0.14/5.75 ~sQ240_spl|~sQ65_spl|sQ53_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f794,f2321,f1370,f1331])).
% 0.14/5.75 fof(f2359,plain,(
% 0.14/5.75 sQ240_spl|~sQ244_spl|sQ65_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f796,f2321,f2353,f1370])).
% 0.14/5.75 fof(f2361,definition,(
% 0.14/5.75 sQ245_spl <=> (sP70_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2364,plain,(
% 0.14/5.75 ~sQ241_spl|sQ245_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f801,f2329,f2361])).
% 0.14/5.75 fof(f2369,definition,(
% 0.14/5.75 sQ246_spl <=> (sP71_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2372,plain,(
% 0.14/5.75 ~sQ242_spl|sQ246_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f809,f2337,f2369])).
% 0.14/5.75 fof(f2385,definition,(
% 0.14/5.75 sQ248_spl <=> (sP73_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2388,plain,(
% 0.14/5.75 ~sQ244_spl|sQ248_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f825,f2353,f2385])).
% 0.14/5.75 fof(f2391,plain,(
% 0.14/5.75 sQ244_spl|~sQ248_spl|sQ60_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f828,f2353,f2385,f1354])).
% 0.14/5.75 fof(f2393,definition,(
% 0.14/5.75 sQ249_spl <=> (sP74_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2396,plain,(
% 0.14/5.75 ~sQ245_spl|sQ249_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f833,f2361,f2393])).
% 0.14/5.75 fof(f2401,definition,(
% 0.14/5.75 sQ250_spl <=> (sP75_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2404,plain,(
% 0.14/5.75 ~sQ246_spl|sQ250_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f841,f2369,f2401])).
% 0.14/5.75 fof(f2405,plain,(
% 0.14/5.75 ~sQ246_spl|~sQ52_spl|sQ60_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f842,f2369,f1328,f1354])).
% 0.14/5.75 fof(f2417,definition,(
% 0.14/5.75 sQ252_spl <=> (sP77_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2420,plain,(
% 0.14/5.75 ~sQ248_spl|sQ252_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f857,f2385,f2417])).
% 0.14/5.75 fof(f2421,plain,(
% 0.14/5.75 ~sQ248_spl|~sQ55_spl|sQ51_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f858,f2385,f1338,f1325])).
% 0.14/5.75 fof(f2422,plain,(
% 0.14/5.75 ~sQ248_spl|~sQ55_spl|~sQ125_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f859,f2385,f1338,f1562])).
% 0.14/5.75 fof(f2423,plain,(
% 0.14/5.75 sQ248_spl|~sQ252_spl|sQ55_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f860,f2385,f2417,f1338])).
% 0.14/5.75 fof(f2425,definition,(
% 0.14/5.75 sQ253_spl <=> (sP78_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2428,plain,(
% 0.14/5.75 ~sQ249_spl|sQ253_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f865,f2393,f2425])).
% 0.14/5.75 fof(f2431,plain,(
% 0.14/5.75 sQ249_spl|~sQ253_spl|sQ51_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f868,f2393,f2425,f1325])).
% 0.14/5.75 fof(f2433,definition,(
% 0.14/5.75 sQ254_spl <=> (sP79_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2436,plain,(
% 0.14/5.75 ~sQ250_spl|sQ254_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f873,f2401,f2433])).
% 0.14/5.75 fof(f2437,plain,(
% 0.14/5.75 ~sQ250_spl|~sQ47_spl|sQ39_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f874,f2401,f1312,f1286])).
% 0.14/5.75 fof(f2449,definition,(
% 0.14/5.75 sQ256_spl <=> (sP81_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2452,plain,(
% 0.14/5.75 ~sQ252_spl|sQ256_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f889,f2417,f2449])).
% 0.14/5.75 fof(f2454,plain,(
% 0.14/5.75 ~sQ252_spl|~sQ50_spl|~sQ125_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f891,f2417,f1322,f1562])).
% 0.14/5.75 fof(f2455,plain,(
% 0.14/5.75 sQ252_spl|~sQ256_spl|sQ50_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f892,f2417,f2449,f1322])).
% 0.14/5.75 fof(f2456,plain,(
% 0.14/5.75 sQ252_spl|~sQ256_spl|~sQ50_spl|sQ125_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f893,f2417,f2449,f1322,f1562])).
% 0.14/5.75 fof(f2457,definition,(
% 0.14/5.75 sQ257_spl <=> (sP82_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2460,plain,(
% 0.14/5.75 ~sQ253_spl|sQ257_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f897,f2425,f2457])).
% 0.14/5.75 fof(f2461,plain,(
% 0.14/5.75 ~sQ253_spl|~sQ46_spl|sQ34_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f898,f2425,f1309,f1270])).
% 0.14/5.75 fof(f2465,definition,(
% 0.14/5.75 sQ258_spl <=> (sP83_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2468,plain,(
% 0.14/5.75 ~sQ254_spl|sQ258_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f905,f2433,f2465])).
% 0.14/5.75 fof(f2471,plain,(
% 0.14/5.75 sQ254_spl|~sQ258_spl|sQ42_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f908,f2433,f2465,f1296])).
% 0.14/5.75 fof(f2481,definition,(
% 0.14/5.75 sQ260_spl <=> (sP85_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2484,plain,(
% 0.14/5.75 ~sQ256_spl|sQ260_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f921,f2449,f2481])).
% 0.14/5.75 fof(f2487,plain,(
% 0.14/5.75 sQ256_spl|~sQ260_spl|sQ45_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f924,f2449,f2481,f1306])).
% 0.14/5.75 fof(f2489,definition,(
% 0.14/5.75 sQ261_spl <=> (sP86_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2492,plain,(
% 0.14/5.75 ~sQ257_spl|sQ261_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f929,f2457,f2489])).
% 0.14/5.75 fof(f2497,definition,(
% 0.14/5.75 sQ262_spl <=> (sP87_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2500,plain,(
% 0.14/5.75 ~sQ258_spl|sQ262_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f937,f2465,f2497])).
% 0.14/5.75 fof(f2503,plain,(
% 0.14/5.75 sQ258_spl|~sQ262_spl|sQ37_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f940,f2465,f2497,f1280])).
% 0.14/5.75 fof(f2504,plain,(
% 0.14/5.75 sQ258_spl|~sQ262_spl|~sQ37_spl|sQ127_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f941,f2465,f2497,f1280,f1568])).
% 0.14/5.75 fof(f2513,definition,(
% 0.14/5.75 sQ264_spl <=> (sP89_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2516,plain,(
% 0.14/5.75 ~sQ260_spl|sQ264_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f953,f2481,f2513])).
% 0.14/5.75 fof(f2518,plain,(
% 0.14/5.75 ~sQ260_spl|~sQ40_spl|~sQ125_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f955,f2481,f1290,f1562])).
% 0.14/5.75 fof(f2519,plain,(
% 0.14/5.75 sQ260_spl|~sQ264_spl|sQ40_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f956,f2481,f2513,f1290])).
% 0.14/5.75 fof(f2521,definition,(
% 0.14/5.75 sQ265_spl <=> (sP90_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2524,plain,(
% 0.14/5.75 ~sQ261_spl|sQ265_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f961,f2489,f2521])).
% 0.14/5.75 fof(f2529,definition,(
% 0.14/5.75 sQ266_spl <=> (sP91_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2532,plain,(
% 0.14/5.75 ~sQ262_spl|sQ266_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f969,f2497,f2529])).
% 0.14/5.75 fof(f2533,plain,(
% 0.14/5.75 ~sQ262_spl|~sQ32_spl|sQ36_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f970,f2497,f1264,f1277])).
% 0.14/5.75 fof(f2545,definition,(
% 0.14/5.75 sQ268_spl <=> (sP93_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2548,plain,(
% 0.14/5.75 ~sQ264_spl|sQ268_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f985,f2513,f2545])).
% 0.14/5.75 fof(f2550,plain,(
% 0.14/5.75 ~sQ264_spl|~sQ35_spl|~sQ125_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f987,f2513,f1274,f1562])).
% 0.14/5.75 fof(f2551,plain,(
% 0.14/5.75 sQ264_spl|~sQ268_spl|sQ35_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f988,f2513,f2545,f1274])).
% 0.14/5.75 fof(f2553,definition,(
% 0.14/5.75 sQ269_spl <=> (sP94_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2556,plain,(
% 0.14/5.75 ~sQ265_spl|sQ269_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f993,f2521,f2553])).
% 0.14/5.75 fof(f2558,plain,(
% 0.14/5.75 ~sQ265_spl|~sQ31_spl|~sQ126_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f995,f2521,f1261,f1565])).
% 0.14/5.75 fof(f2559,plain,(
% 0.14/5.75 sQ265_spl|~sQ269_spl|sQ31_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f996,f2521,f2553,f1261])).
% 0.14/5.75 fof(f2561,definition,(
% 0.14/5.75 sQ270_spl <=> (sP95_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2564,plain,(
% 0.14/5.75 ~sQ266_spl|sQ270_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1001,f2529,f2561])).
% 0.14/5.75 fof(f2577,definition,(
% 0.14/5.75 sQ272_spl <=> (sP97_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2580,plain,(
% 0.14/5.75 ~sQ268_spl|sQ272_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1017,f2545,f2577])).
% 0.14/5.75 fof(f2582,plain,(
% 0.14/5.75 ~sQ268_spl|~sQ30_spl|~sQ125_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1019,f2545,f1258,f1562])).
% 0.14/5.75 fof(f2583,plain,(
% 0.14/5.75 sQ268_spl|~sQ272_spl|sQ30_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1020,f2545,f2577,f1258])).
% 0.14/5.75 fof(f2585,definition,(
% 0.14/5.75 sQ273_spl <=> (sP98_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2588,plain,(
% 0.14/5.75 ~sQ269_spl|sQ273_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1025,f2553,f2585])).
% 0.14/5.75 fof(f2593,definition,(
% 0.14/5.75 sQ274_spl <=> (sP99_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2596,plain,(
% 0.14/5.75 ~sQ270_spl|sQ274_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1033,f2561,f2593])).
% 0.14/5.75 fof(f2597,plain,(
% 0.14/5.75 ~sQ270_spl|~sQ22_spl|sQ14_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1034,f2561,f1232,f1206])).
% 0.14/5.75 fof(f2599,plain,(
% 0.14/5.75 sQ270_spl|~sQ274_spl|sQ22_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1036,f2561,f2593,f1232])).
% 0.14/5.75 fof(f2609,definition,(
% 0.14/5.75 sQ276_spl <=> (sP101_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2612,plain,(
% 0.14/5.75 ~sQ272_spl|sQ276_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1049,f2577,f2609])).
% 0.14/5.75 fof(f2614,plain,(
% 0.14/5.75 ~sQ272_spl|~sQ25_spl|~sQ125_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1051,f2577,f1242,f1562])).
% 0.14/5.75 fof(f2615,plain,(
% 0.14/5.75 sQ272_spl|~sQ276_spl|sQ25_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1052,f2577,f2609,f1242])).
% 0.14/5.75 fof(f2616,plain,(
% 0.14/5.75 sQ272_spl|~sQ276_spl|~sQ25_spl|sQ125_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1053,f2577,f2609,f1242,f1562])).
% 0.14/5.75 fof(f2617,definition,(
% 0.14/5.75 sQ277_spl <=> (sP102_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2620,plain,(
% 0.14/5.75 ~sQ273_spl|sQ277_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1057,f2585,f2617])).
% 0.14/5.75 fof(f2623,plain,(
% 0.14/5.75 sQ273_spl|~sQ277_spl|sQ21_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1060,f2585,f2617,f1229])).
% 0.14/5.75 fof(f2625,definition,(
% 0.14/5.75 sQ278_spl <=> (sP103_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2629,plain,(
% 0.14/5.75 ~sQ274_spl|~sQ17_spl|sQ13_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1066,f2593,f1216,f1203])).
% 0.14/5.75 fof(f2631,plain,(
% 0.14/5.75 sQ274_spl|~sQ278_spl|sQ17_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1068,f2593,f2625,f1216])).
% 0.14/5.75 fof(f2632,plain,(
% 0.14/5.75 sQ274_spl|~sQ278_spl|~sQ13_spl|sQ127_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1069,f2593,f2625,f1203,f1568])).
% 0.14/5.75 fof(f2641,definition,(
% 0.14/5.75 sQ280_spl <=> (sP105_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2644,plain,(
% 0.14/5.75 ~sQ276_spl|sQ280_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1081,f2609,f2641])).
% 0.14/5.75 fof(f2647,plain,(
% 0.14/5.75 sQ276_spl|~sQ280_spl|sQ20_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1084,f2609,f2641,f1226])).
% 0.14/5.75 fof(f2649,definition,(
% 0.14/5.75 sQ281_spl <=> (sP106_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2652,plain,(
% 0.14/5.75 ~sQ277_spl|sQ281_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1089,f2617,f2649])).
% 0.14/5.75 fof(f2653,plain,(
% 0.14/5.75 ~sQ277_spl|~sQ16_spl|sQ8_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1090,f2617,f1213,f1187])).
% 0.14/5.75 fof(f2657,definition,(
% 0.14/5.75 sQ282_spl <=> (sP107_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2663,plain,(
% 0.14/5.75 sQ278_spl|~sQ282_spl|sQ12_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1100,f2625,f2657,f1200])).
% 0.14/5.75 fof(f2664,plain,(
% 0.14/5.75 sQ278_spl|~sQ282_spl|~sQ12_spl|sQ127_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1101,f2625,f2657,f1200,f1568])).
% 0.14/5.75 fof(f2673,definition,(
% 0.14/5.75 sQ283_spl <=> (sP108_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2676,plain,(
% 0.14/5.75 ~sQ280_spl|sQ283_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1114,f2641,f2673])).
% 0.14/5.75 fof(f2678,plain,(
% 0.14/5.75 ~sQ280_spl|~sQ15_spl|~sQ125_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1116,f2641,f1210,f1562])).
% 0.14/5.75 fof(f2679,plain,(
% 0.14/5.75 sQ280_spl|~sQ283_spl|sQ15_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1117,f2641,f2673,f1210])).
% 0.14/5.75 fof(f2681,definition,(
% 0.14/5.75 sQ284_spl <=> (sP109_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2684,plain,(
% 0.14/5.75 ~sQ281_spl|sQ284_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1122,f2649,f2681])).
% 0.14/5.75 fof(f2685,plain,(
% 0.14/5.75 ~sQ281_spl|~sQ11_spl|sQ7_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1123,f2649,f1197,f1184])).
% 0.14/5.75 fof(f2693,plain,(
% 0.14/5.75 sQ282_spl|sQ2_spl|sQ7_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1132,f2657,f1168,f1184])).
% 0.14/5.75 fof(f2697,definition,(
% 0.14/5.75 sQ285_spl <=> (sP110_prd)),
% 0.14/5.75 introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition])).
% 0.14/5.75 fof(f2700,plain,(
% 0.14/5.75 ~sQ283_spl|sQ285_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1139,f2673,f2697])).
% 0.14/5.75 fof(f2702,plain,(
% 0.14/5.75 ~sQ283_spl|~sQ10_spl|~sQ125_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1141,f2673,f1194,f1562])).
% 0.14/5.75 fof(f2703,plain,(
% 0.14/5.75 sQ283_spl|~sQ285_spl|sQ10_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1142,f2673,f2697,f1194])).
% 0.14/5.75 fof(f2708,plain,(
% 0.14/5.75 ~sQ284_spl|~sQ6_spl|~sQ126_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1148,f2681,f1181,f1565])).
% 0.14/5.75 fof(f2709,plain,(
% 0.14/5.75 sQ284_spl|sQ1_spl|sQ6_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1149,f2681,f1165,f1181])).
% 0.14/5.75 fof(f2714,plain,(
% 0.14/5.75 ~sQ285_spl|~sQ0_spl|~sQ125_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1155,f2697,f1162,f1562])).
% 0.14/5.75 fof(f2716,plain,(
% 0.14/5.75 ~sQ285_spl|~sQ5_spl|~sQ125_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1157,f2697,f1178,f1562])).
% 0.14/5.75 fof(f2717,plain,(
% 0.14/5.75 sQ285_spl|sQ0_spl|sQ5_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1158,f2697,f1162,f1178])).
% 0.14/5.75 fof(f2718,plain,(
% 0.14/5.75 sQ285_spl|sQ0_spl|~sQ1_spl|sQ125_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f1159,f2697,f1162,f1165,f1562])).
% 0.14/5.75 fof(f2721,plain,(
% 0.14/5.75 e1=op(e3,op(e2,e2))),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f207,f206])).
% 0.14/5.75 fof(f2722,plain,(
% 0.14/5.75 e3=op(e2,e4)),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f208,f207])).
% 0.14/5.75 fof(f2723,plain,(
% 0.14/5.75 e0=op(op(e2,e2),e4)),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f208,f205])).
% 0.14/5.75 fof(f2724,plain,(
% 0.14/5.75 ~e4=op(e2,e4)),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f208,f173])).
% 0.14/5.75 fof(f2725,plain,(
% 0.14/5.75 ~e4=op(e2,e3)),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f208,f172])).
% 0.14/5.75 fof(f2729,plain,(
% 0.14/5.75 ~e4=op(e3,e2)),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f208,f122])).
% 0.14/5.75 fof(f2730,plain,(
% 0.14/5.75 ~op(e1,e2)=e4),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f208,f119])).
% 0.14/5.75 fof(f2731,plain,(
% 0.14/5.75 ~op(e0,e2)=e4),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f208,f116])).
% 0.14/5.75 fof(f2751,plain,(
% 0.14/5.75 e2=e1|~sQ47_spl|~sQ46_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1313,f1310])).
% 0.14/5.75 fof(f2753,plain,(
% 0.14/5.75 ~op(e2,e3)=e0|~sQ70_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1387,f174])).
% 0.14/5.75 fof(f2756,plain,(
% 0.14/5.75 ~e0=op(e4,e4)|~sQ70_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1387,f143])).
% 0.14/5.75 fof(f2760,plain,(
% 0.14/5.75 e3=e2|~sQ73_spl|~sQ72_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1396,f1393])).
% 0.14/5.75 fof(f2766,plain,(
% 0.14/5.75 e1=e0|~sQ96_spl|~sQ95_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1470,f1467])).
% 0.14/5.75 fof(f2773,plain,(
% 0.14/5.75 e1=e0|~sQ121_spl|~sQ120_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1550,f1547])).
% 0.14/5.75 fof(f2778,plain,(
% 0.14/5.75 ~e3=op(e0,e2)|~sQ8_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1188,f149])).
% 0.14/5.75 fof(f2785,plain,(
% 0.14/5.75 op(unit,e4)=e3|~sQ127_spl|~sQ73_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1569,f1396])).
% 0.14/5.75 fof(f2872,plain,(
% 0.14/5.75 e1=e0|~sQ1_spl|~sQ0_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1166,f1163])).
% 0.14/5.75 fof(f2873,plain,(
% 0.14/5.75 $false|~sQ1_spl|~sQ0_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f2872,f195])).
% 0.14/5.75 fof(f2874,plain,(
% 0.14/5.75 ~sQ1_spl|~sQ0_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f2873])).
% 0.14/5.75 fof(f2888,plain,(
% 0.14/5.75 e2=e1|~sQ32_spl|~sQ31_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1265,f1262])).
% 0.14/5.75 fof(f2892,plain,(
% 0.14/5.75 e2=e1|~sQ37_spl|~sQ36_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1281,f1278])).
% 0.14/5.75 fof(f2901,plain,(
% 0.14/5.75 e2=e1|~sQ52_spl|~sQ51_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1329,f1326])).
% 0.14/5.75 fof(f2950,plain,(
% 0.14/5.75 ~op(e0,e4)=e4|~sQ24_spl|sQ192_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1239,f1957])).
% 0.14/5.75 fof(f2951,plain,(
% 0.14/5.75 ~e4=e4|~sQ24_spl|sQ192_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1239,f2950])).
% 0.14/5.75 fof(f2952,plain,(
% 0.14/5.75 $false|~sQ24_spl|sQ192_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f2951])).
% 0.14/5.75 fof(f2953,plain,(
% 0.14/5.75 ~sQ24_spl|sQ192_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f2952])).
% 0.14/5.75 fof(f3011,plain,(
% 0.14/5.75 ~e4=e4|~sQ74_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1399,f2724])).
% 0.14/5.75 fof(f3012,plain,(
% 0.14/5.75 $false|~sQ74_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f3011])).
% 0.14/5.75 fof(f3013,plain,(
% 0.14/5.75 ~sQ74_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3012])).
% 0.14/5.75 fof(f3119,plain,(
% 0.14/5.75 ~sQ13_spl|~sQ8_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f2778,f1203,f1187])).
% 0.14/5.75 fof(f3158,plain,(
% 0.14/5.75 ~op(e0,e2)=e2|~sQ17_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1217,f152])).
% 0.14/5.75 fof(f3159,plain,(
% 0.14/5.75 $false|~sQ32_spl|~sQ31_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f2888,f199])).
% 0.14/5.75 fof(f3160,plain,(
% 0.14/5.75 ~sQ32_spl|~sQ31_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3159])).
% 0.14/5.75 fof(f3161,plain,(
% 0.14/5.75 $false|~sQ37_spl|~sQ36_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f2892,f199])).
% 0.14/5.75 fof(f3162,plain,(
% 0.14/5.75 ~sQ37_spl|~sQ36_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3161])).
% 0.14/5.75 fof(f3173,plain,(
% 0.14/5.75 $false|~sQ52_spl|~sQ51_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f2901,f199])).
% 0.14/5.75 fof(f3174,plain,(
% 0.14/5.75 ~sQ52_spl|~sQ51_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3173])).
% 0.14/5.75 fof(f3197,plain,(
% 0.14/5.75 ~op(e4,e2)=op(e4,e2)|~sQ63_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f3204,f124])).
% 0.14/5.75 fof(f3204,plain,(
% 0.14/5.75 e4=e3|~sQ63_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f208,f1364])).
% 0.14/5.75 fof(f3367,plain,(
% 0.14/5.75 ~sQ65_spl|~sQ70_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f2753,f1370,f1386])).
% 0.14/5.75 fof(f3392,plain,(
% 0.14/5.75 e4=e3|~sQ127_spl|~sQ73_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f42,f2785])).
% 0.14/5.75 fof(f3393,plain,(
% 0.14/5.75 $false|~sQ127_spl|~sQ73_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f3392,f204])).
% 0.14/5.75 fof(f3394,plain,(
% 0.14/5.75 ~sQ127_spl|~sQ73_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3393])).
% 0.14/5.75 fof(f3397,plain,(
% 0.14/5.75 ~sQ12_spl|~sQ17_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3158,f1200,f1216])).
% 0.14/5.75 fof(f3402,plain,(
% 0.14/5.75 ~e0=op(e1,e2)|~sQ30_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1259,f159])).
% 0.14/5.75 fof(f3426,plain,(
% 0.14/5.75 ~op(e1,e1)=e4|~sQ84_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1431,f110])).
% 0.14/5.75 fof(f3427,plain,(
% 0.14/5.75 ~e4=op(e4,e1)|~sQ84_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1431,f114])).
% 0.14/5.75 fof(f3471,plain,(
% 0.14/5.75 ~op(e0,e0)=e0|~sQ75_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1403,f97])).
% 0.14/5.75 fof(f3573,plain,(
% 0.14/5.75 ~e3=e3|sQ73_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f2722,f1397])).
% 0.14/5.75 fof(f3574,plain,(
% 0.14/5.75 $false|sQ73_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f3573])).
% 0.14/5.75 fof(f3575,plain,(
% 0.14/5.75 sQ73_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3574])).
% 0.14/5.75 fof(f3604,plain,(
% 0.14/5.75 ~e1=op(e2,e1)|~sQ31_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1262,f109])).
% 0.14/5.75 fof(f3609,plain,(
% 0.14/5.75 ~op(e0,e0)=e0|~sQ25_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1243,f95])).
% 0.14/5.75 fof(f3610,plain,(
% 0.14/5.75 ~op(e2,e1)=e2|~sQ67_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1377,f170])).
% 0.14/5.75 fof(f3612,plain,(
% 0.14/5.75 ~e0=op(e4,e1)|~sQ55_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1339,f113])).
% 0.14/5.75 fof(f3665,plain,(
% 0.14/5.75 ~op(e2,unit)=e2|~sQ125_spl|sQ52_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1563,f1330])).
% 0.14/5.75 fof(f3684,plain,(
% 0.14/5.75 ~sQ0_spl|~sQ75_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3471,f1162,f1402])).
% 0.14/5.75 fof(f3712,plain,(
% 0.14/5.75 $false|~sQ121_spl|~sQ120_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f2773,f195])).
% 0.14/5.75 fof(f3713,plain,(
% 0.14/5.75 ~sQ121_spl|~sQ120_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3712])).
% 0.14/5.75 fof(f3722,plain,(
% 0.14/5.75 $false|~sQ47_spl|~sQ46_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f2751,f199])).
% 0.14/5.75 fof(f3723,plain,(
% 0.14/5.75 ~sQ47_spl|~sQ46_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3722])).
% 0.14/5.75 fof(f3728,plain,(
% 0.14/5.75 $false|~sQ96_spl|~sQ95_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f2766,f195])).
% 0.14/5.75 fof(f3729,plain,(
% 0.14/5.75 ~sQ96_spl|~sQ95_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3728])).
% 0.14/5.75 fof(f3740,plain,(
% 0.14/5.75 e4=e1|~sQ61_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f208,f1358])).
% 0.14/5.75 fof(f3741,plain,(
% 0.14/5.75 $false|~sQ61_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f3740,f201])).
% 0.14/5.75 fof(f3742,plain,(
% 0.14/5.75 ~sQ61_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3741])).
% 0.14/5.75 fof(f3764,plain,(
% 0.14/5.75 e1=e0|~sQ6_spl|~sQ5_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1182,f1179])).
% 0.14/5.75 fof(f3765,plain,(
% 0.14/5.75 $false|~sQ6_spl|~sQ5_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f3764,f195])).
% 0.14/5.75 fof(f3766,plain,(
% 0.14/5.75 ~sQ6_spl|~sQ5_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3765])).
% 0.14/5.75 fof(f3772,plain,(
% 0.14/5.75 e1=op(e3,e4)),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f208,f2721])).
% 0.14/5.75 fof(f3773,plain,(
% 0.14/5.75 e1=e4|~sQ99_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1479,f3772])).
% 0.14/5.75 fof(f3774,plain,(
% 0.14/5.75 $false|~sQ99_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f3773,f201])).
% 0.14/5.75 fof(f3775,plain,(
% 0.14/5.75 ~sQ99_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3774])).
% 0.14/5.75 fof(f3780,plain,(
% 0.14/5.75 ~op(e2,e1)=e3|~sQ73_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1396,f171])).
% 0.14/5.75 fof(f3781,plain,(
% 0.14/5.75 ~op(e2,e0)=e3|~sQ73_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1396,f168])).
% 0.14/5.75 fof(f3782,plain,(
% 0.14/5.75 ~e3=op(e4,e4)|~sQ73_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1396,f143])).
% 0.14/5.75 fof(f3783,plain,(
% 0.14/5.75 ~op(e1,e4)=e3|~sQ73_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1396,f139])).
% 0.14/5.75 fof(f3786,plain,(
% 0.14/5.75 e1=e0|~sQ36_spl|~sQ35_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1278,f1275])).
% 0.14/5.75 fof(f3787,plain,(
% 0.14/5.75 $false|~sQ36_spl|~sQ35_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f3786,f195])).
% 0.14/5.75 fof(f3788,plain,(
% 0.14/5.75 ~sQ36_spl|~sQ35_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3787])).
% 0.14/5.75 fof(f3798,plain,(
% 0.14/5.75 ~e4=e4|~sQ69_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1383,f2725])).
% 0.14/5.75 fof(f3799,plain,(
% 0.14/5.75 $false|~sQ69_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f3798])).
% 0.14/5.75 fof(f3800,plain,(
% 0.14/5.75 ~sQ69_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3799])).
% 0.14/5.75 fof(f3805,plain,(
% 0.14/5.75 e2=e0|~sQ2_spl|~sQ0_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1169,f1163])).
% 0.14/5.75 fof(f3806,plain,(
% 0.14/5.75 $false|~sQ2_spl|~sQ0_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f3805,f196])).
% 0.14/5.75 fof(f3807,plain,(
% 0.14/5.75 ~sQ2_spl|~sQ0_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3806])).
% 0.14/5.75 fof(f3808,plain,(
% 0.14/5.75 e0=op(e4,e4)),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f208,f2723])).
% 0.14/5.75 fof(f3810,plain,(
% 0.14/5.75 ~e3=op(e0,e4)|~sQ18_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1220,f154])).
% 0.14/5.75 fof(f3836,plain,(
% 0.14/5.75 e0=e2|~sQ122_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1553,f3808])).
% 0.14/5.75 fof(f3844,plain,(
% 0.14/5.75 ~e4=e4|sQ64_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f208,f1368])).
% 0.14/5.75 fof(f3845,plain,(
% 0.14/5.75 $false|sQ64_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f3844])).
% 0.14/5.75 fof(f3846,plain,(
% 0.14/5.75 sQ64_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3845])).
% 0.14/5.75 fof(f3848,plain,(
% 0.14/5.75 e4=e2|~sQ62_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f208,f1361])).
% 0.14/5.75 fof(f3849,plain,(
% 0.14/5.75 $false|~sQ62_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f3848,f203])).
% 0.14/5.75 fof(f3850,plain,(
% 0.14/5.75 ~sQ62_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3849])).
% 0.14/5.75 fof(f3851,plain,(
% 0.14/5.75 e4=e0|~sQ60_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f208,f1355])).
% 0.14/5.75 fof(f3852,plain,(
% 0.14/5.75 $false|~sQ60_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f3851,f198])).
% 0.14/5.75 fof(f3853,plain,(
% 0.14/5.75 ~sQ60_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3852])).
% 0.14/5.75 fof(f3866,plain,(
% 0.14/5.75 ~op(e0,e2)=e0|~sQ85_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1435,f117])).
% 0.14/5.75 fof(f3872,plain,(
% 0.14/5.75 ~e4=op(e1,e4)|~sQ24_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1239,f135])).
% 0.14/5.75 fof(f3875,plain,(
% 0.14/5.75 ~op(e1,e4)=e1),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f3772,f140])).
% 0.14/5.75 fof(f3877,plain,(
% 0.14/5.75 ~op(e3,e1)=e1),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f3772,f181])).
% 0.14/5.75 fof(f3878,plain,(
% 0.14/5.75 ~op(e3,e0)=e1),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f3772,f178])).
% 0.14/5.75 fof(f3895,plain,(
% 0.14/5.75 op(e2,e3)=e4|~sQ73_spl|~sQ173_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1396,f1860])).
% 0.14/5.75 fof(f3897,plain,(
% 0.14/5.75 ~sQ53_spl|~sQ73_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3781,f1331,f1395])).
% 0.14/5.75 fof(f3898,plain,(
% 0.14/5.75 ~sQ123_spl|~sQ73_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3782,f1555,f1395])).
% 0.14/5.75 fof(f3899,plain,(
% 0.14/5.75 ~sQ48_spl|~sQ73_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3783,f1315,f1395])).
% 0.14/5.75 fof(f3909,plain,(
% 0.14/5.75 ~sQ109_spl|~sQ84_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3427,f1510,f1430])).
% 0.14/5.75 fof(f3916,plain,(
% 0.14/5.75 ~sQ34_spl|~sQ84_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3426,f1270,f1430])).
% 0.14/5.75 fof(f3926,plain,(
% 0.14/5.75 ~e4=e4|~sQ73_spl|~sQ173_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f3895,f2725])).
% 0.14/5.75 fof(f3927,plain,(
% 0.14/5.75 $false|~sQ73_spl|~sQ173_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f3926])).
% 0.14/5.75 fof(f3928,plain,(
% 0.14/5.75 ~sQ73_spl|~sQ173_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3927])).
% 0.14/5.75 fof(f3944,plain,(
% 0.14/5.75 ~op(e1,e2)=e2|~sQ112_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1521,f121])).
% 0.14/5.75 fof(f3964,plain,(
% 0.14/5.75 ~sQ0_spl|~sQ25_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3609,f1162,f1242])).
% 0.14/5.75 fof(f3968,plain,(
% 0.14/5.75 ~sQ23_spl|~sQ18_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3810,f1235,f1219])).
% 0.14/5.75 fof(f3974,plain,(
% 0.14/5.75 ~op(e2,e3)=e3|~sQ73_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1396,f174])).
% 0.14/5.75 fof(f3976,plain,(
% 0.14/5.75 $false|~sQ73_spl|~sQ72_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f2760,f202])).
% 0.14/5.75 fof(f3977,plain,(
% 0.14/5.75 ~sQ73_spl|~sQ72_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f3976])).
% 0.14/5.75 fof(f3993,plain,(
% 0.14/5.75 ~e1=op(e2,e3)|~sQ51_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1326,f167])).
% 0.14/5.75 fof(f4003,plain,(
% 0.14/5.75 ~sQ10_spl|~sQ85_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3866,f1194,f1434])).
% 0.14/5.75 fof(f4006,plain,(
% 0.14/5.75 ~e1=op(e3,e4)|~sQ21_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1230,f137])).
% 0.14/5.75 fof(f4007,plain,(
% 0.14/5.75 ~e1=e1|~sQ21_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f3772,f4006])).
% 0.14/5.75 fof(f4008,plain,(
% 0.14/5.75 $false|~sQ21_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f4007])).
% 0.14/5.75 fof(f4009,plain,(
% 0.14/5.75 ~sQ21_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4008])).
% 0.14/5.75 fof(f4033,plain,(
% 0.14/5.75 $false|~sQ73_spl|~sQ68_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f1380,f3974])).
% 0.14/5.75 fof(f4034,plain,(
% 0.14/5.75 ~sQ73_spl|~sQ68_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4033])).
% 0.14/5.75 fof(f4050,plain,(
% 0.14/5.75 e0=e4|~sQ124_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1559,f3808])).
% 0.14/5.75 fof(f4051,plain,(
% 0.14/5.75 $false|~sQ124_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f4050,f198])).
% 0.14/5.75 fof(f4052,plain,(
% 0.14/5.75 ~sQ124_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4051])).
% 0.14/5.75 fof(f4053,plain,(
% 0.14/5.75 ~e1=op(e4,e4)|~sQ116_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1534,f194])).
% 0.14/5.75 fof(f4075,plain,(
% 0.14/5.75 ~sQ37_spl|~sQ112_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3944,f1280,f1520])).
% 0.14/5.75 fof(f4088,plain,(
% 0.14/5.75 ~e4=op(e3,e1)|~sQ59_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1351,f112])).
% 0.14/5.75 fof(f4109,plain,(
% 0.14/5.75 ~op(e1,e0)=e1|~sQ31_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1262,f155])).
% 0.14/5.75 fof(f4111,plain,(
% 0.14/5.75 ~e1=op(e1,e3)|~sQ31_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1262,f160])).
% 0.14/5.75 fof(f4113,plain,(
% 0.14/5.75 ~op(e0,e2)=e2|~sQ37_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1281,f115])).
% 0.14/5.75 fof(f4114,plain,(
% 0.14/5.75 ~op(e1,e0)=e2|~sQ37_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1281,f156])).
% 0.14/5.75 fof(f4116,plain,(
% 0.14/5.75 ~e2=op(e1,e3)|~sQ37_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1281,f162])).
% 0.14/5.75 fof(f4121,plain,(
% 0.14/5.75 ~op(e0,e1)=e2|~sQ82_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1425,f107])).
% 0.14/5.75 fof(f4132,plain,(
% 0.14/5.75 e3=e1|~sQ73_spl|~sQ71_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1396,f1390])).
% 0.14/5.75 fof(f4133,plain,(
% 0.14/5.75 $false|~sQ73_spl|~sQ71_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f4132,f200])).
% 0.14/5.75 fof(f4134,plain,(
% 0.14/5.75 ~sQ73_spl|~sQ71_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4133])).
% 0.14/5.75 fof(f4139,plain,(
% 0.14/5.75 ~e1=op(e1,e4)|~sQ31_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1262,f161])).
% 0.14/5.75 fof(f4158,plain,(
% 0.14/5.75 $false|~sQ76_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f1406,f3878])).
% 0.14/5.75 fof(f4159,plain,(
% 0.14/5.75 ~sQ76_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4158])).
% 0.14/5.75 fof(f4192,plain,(
% 0.14/5.75 ~op(e1,e4)=e0),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f3808,f141])).
% 0.14/5.75 fof(f4198,plain,(
% 0.14/5.75 ~op(e1,e3)=e4|~sQ49_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1319,f164])).
% 0.14/5.75 fof(f4200,plain,(
% 0.14/5.75 ~op(e1,e4)=e4|~sQ49_spl|sQ193_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1319,f1960])).
% 0.14/5.75 fof(f4204,plain,(
% 0.14/5.75 ~op(e4,e2)=e0),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f3808,f193])).
% 0.14/5.75 fof(f4209,plain,(
% 0.14/5.75 $false|~sQ110_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f1515,f4204])).
% 0.14/5.75 fof(f4210,plain,(
% 0.14/5.75 ~sQ110_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4209])).
% 0.14/5.75 fof(f4219,plain,(
% 0.14/5.75 ~e4=e4|~sQ14_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1207,f2731])).
% 0.14/5.75 fof(f4220,plain,(
% 0.14/5.75 $false|~sQ14_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f4219])).
% 0.14/5.75 fof(f4221,plain,(
% 0.14/5.75 ~sQ14_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4220])).
% 0.14/5.75 fof(f4222,plain,(
% 0.14/5.75 ~sQ58_spl|~sQ73_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3780,f1347,f1395])).
% 0.14/5.75 fof(f4223,plain,(
% 0.14/5.75 ~op(e0,e1)=e2|~sQ22_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1233,f151])).
% 0.14/5.75 fof(f4229,plain,(
% 0.14/5.75 ~sQ84_spl|~sQ59_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4088,f1430,f1350])).
% 0.14/5.75 fof(f4302,plain,(
% 0.14/5.75 ~op(e1,unit)=e1|~sQ129_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1575,f3875])).
% 0.14/5.75 fof(f4303,plain,(
% 0.14/5.75 ~e1=e1|~sQ129_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f37,f4302])).
% 0.14/5.75 fof(f4304,plain,(
% 0.14/5.75 $false|~sQ129_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f4303])).
% 0.14/5.75 fof(f4305,plain,(
% 0.14/5.75 ~sQ129_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4304])).
% 0.14/5.75 fof(f4307,plain,(
% 0.14/5.75 ~sQ44_spl|~sQ49_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4198,f1302,f1318])).
% 0.14/5.75 fof(f4308,plain,(
% 0.14/5.75 ~sQ49_spl|sQ193_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4200,f1318,f1958])).
% 0.14/5.75 fof(f4328,plain,(
% 0.14/5.75 op(e2,e2)=e0|~sQ12_spl|~sQ187_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1201,f1931])).
% 0.14/5.75 fof(f4330,plain,(
% 0.14/5.75 ~op(e0,e2)=e2|~sQ12_spl|sQ184_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1201,f1921])).
% 0.14/5.75 fof(f4340,plain,(
% 0.14/5.75 $false|~sQ45_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f1307,f4192])).
% 0.14/5.75 fof(f4341,plain,(
% 0.14/5.75 ~sQ45_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4340])).
% 0.14/5.75 fof(f4366,plain,(
% 0.14/5.75 $false|~sQ63_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f3197])).
% 0.14/5.75 fof(f4367,plain,(
% 0.14/5.75 ~sQ63_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4366])).
% 0.14/5.75 fof(f4374,plain,(
% 0.14/5.75 ~sQ66_spl|~sQ51_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3993,f1373,f1325])).
% 0.14/5.75 fof(f4398,plain,(
% 0.14/5.75 ~sQ121_spl|~sQ116_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4053,f1549,f1533])).
% 0.14/5.75 fof(f4410,plain,(
% 0.14/5.75 ~op(e2,e1)=e2|~sQ67_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1377,f170])).
% 0.14/5.75 fof(f4424,plain,(
% 0.14/5.75 ~sQ56_spl|~sQ31_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3604,f1341,f1261])).
% 0.14/5.75 fof(f4426,plain,(
% 0.14/5.75 ~sQ26_spl|~sQ31_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4109,f1245,f1261])).
% 0.14/5.75 fof(f4427,plain,(
% 0.14/5.75 ~sQ41_spl|~sQ31_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4111,f1293,f1261])).
% 0.14/5.75 fof(f4433,plain,(
% 0.14/5.75 ~sQ46_spl|~sQ31_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4139,f1309,f1261])).
% 0.14/5.75 fof(f4434,plain,(
% 0.14/5.75 $false|~sQ39_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f1287,f2730])).
% 0.14/5.75 fof(f4435,plain,(
% 0.14/5.75 ~sQ39_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4434])).
% 0.14/5.75 fof(f4436,plain,(
% 0.14/5.75 ~sQ7_spl|~sQ82_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4121,f1184,f1424])).
% 0.14/5.75 fof(f4448,plain,(
% 0.14/5.75 sQ60_spl|~sQ12_spl|~sQ187_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4328,f1354,f1200,f1930])).
% 0.14/5.75 fof(f4449,plain,(
% 0.14/5.75 ~sQ12_spl|sQ184_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4330,f1200,f1919])).
% 0.14/5.75 fof(f4459,plain,(
% 0.14/5.75 ~op(e0,e1)=e2|~sQ12_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1201,f149])).
% 0.14/5.75 fof(f4466,plain,(
% 0.14/5.75 ~sQ57_spl|~sQ67_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3610,f1344,f1376])).
% 0.14/5.75 fof(f4467,plain,(
% 0.14/5.75 $false|~sQ12_spl|~sQ7_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f1185,f4459])).
% 0.14/5.75 fof(f4468,plain,(
% 0.14/5.75 ~sQ12_spl|~sQ7_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4467])).
% 0.14/5.75 fof(f4480,plain,(
% 0.14/5.75 ~e4=op(e0,e4)|~sQ19_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1223,f154])).
% 0.14/5.75 fof(f4482,plain,(
% 0.14/5.75 ~op(e0,e4)=e0),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f3808,f138])).
% 0.14/5.75 fof(f4490,plain,(
% 0.14/5.75 ~e4=op(e4,e1)|~sQ104_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1495,f185])).
% 0.14/5.75 fof(f4519,plain,(
% 0.14/5.75 ~op(e3,unit)=e0|~sQ126_spl|sQ80_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1566,f1420])).
% 0.14/5.75 fof(f4531,plain,(
% 0.14/5.75 ~op(e2,unit)=e2|~sQ126_spl|~sQ67_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1566,f4410])).
% 0.14/5.75 fof(f4548,plain,(
% 0.14/5.75 ~sQ49_spl|~sQ24_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3872,f1318,f1238])).
% 0.14/5.75 fof(f4549,plain,(
% 0.14/5.75 $false|~sQ19_spl|~sQ24_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f1239,f4480])).
% 0.14/5.75 fof(f4550,plain,(
% 0.14/5.75 ~sQ19_spl|~sQ24_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4549])).
% 0.14/5.75 fof(f4568,plain,(
% 0.14/5.75 ~sQ105_spl|~sQ55_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3612,f1498,f1338])).
% 0.14/5.75 fof(f4569,plain,(
% 0.14/5.75 e4=e0|~sQ59_spl|~sQ55_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1351,f1339])).
% 0.14/5.75 fof(f4570,plain,(
% 0.14/5.75 $false|~sQ59_spl|~sQ55_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f4569,f198])).
% 0.14/5.75 fof(f4571,plain,(
% 0.14/5.75 ~sQ59_spl|~sQ55_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4570])).
% 0.14/5.75 fof(f4572,plain,(
% 0.14/5.75 $false|~sQ81_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f1422,f3877])).
% 0.14/5.75 fof(f4573,plain,(
% 0.14/5.75 ~sQ81_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4572])).
% 0.14/5.75 fof(f4597,plain,(
% 0.14/5.75 ~sQ12_spl|~sQ37_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4113,f1200,f1280])).
% 0.14/5.75 fof(f4598,plain,(
% 0.14/5.75 ~sQ27_spl|~sQ37_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4114,f1248,f1280])).
% 0.14/5.75 fof(f4599,plain,(
% 0.14/5.75 ~sQ42_spl|~sQ37_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4116,f1296,f1280])).
% 0.14/5.75 fof(f4609,plain,(
% 0.14/5.75 $false|~sQ89_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f1447,f2729])).
% 0.14/5.75 fof(f4610,plain,(
% 0.14/5.75 ~sQ89_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4609])).
% 0.14/5.75 fof(f4615,plain,(
% 0.14/5.75 $false|~sQ20_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f1227,f4482])).
% 0.14/5.75 fof(f4616,plain,(
% 0.14/5.75 ~sQ20_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4615])).
% 0.14/5.75 fof(f4618,plain,(
% 0.14/5.75 ~e2=op(e0,e4)|~sQ12_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1201,f153])).
% 0.14/5.75 fof(f4621,plain,(
% 0.14/5.75 ~e2=op(e4,e2)|~sQ12_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1201,f118])).
% 0.14/5.75 fof(f4695,plain,(
% 0.14/5.75 ~op(unit,e1)=e1|~sQ128_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1572,f3877])).
% 0.14/5.75 fof(f4737,plain,(
% 0.14/5.75 $false|~sQ122_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f3836,f196])).
% 0.14/5.75 fof(f4738,plain,(
% 0.14/5.75 ~sQ122_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4737])).
% 0.14/5.75 fof(f4791,plain,(
% 0.14/5.75 ~e1=e1|sQ96_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f3772,f1471])).
% 0.14/5.75 fof(f4792,plain,(
% 0.14/5.75 $false|sQ96_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f4791])).
% 0.14/5.75 fof(f4793,plain,(
% 0.14/5.75 sQ96_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4792])).
% 0.14/5.75 fof(f4890,plain,(
% 0.14/5.75 ~e1=e1|~sQ128_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f36,f4695])).
% 0.14/5.75 fof(f4891,plain,(
% 0.14/5.75 $false|~sQ128_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f4890])).
% 0.14/5.75 fof(f4892,plain,(
% 0.14/5.75 ~sQ128_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f4891])).
% 0.14/5.75 fof(f4940,plain,(
% 0.14/5.75 ~sQ7_spl|~sQ22_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4223,f1184,f1232])).
% 0.14/5.75 fof(f5044,plain,(
% 0.14/5.75 ~op(unit,e3)=e3|~sQ125_spl|sQ18_spl),
% 0.14/5.75 inference(backward_demodulation,[status(thm)],[f1563,f1221])).
% 0.14/5.75 fof(f5066,plain,(
% 0.14/5.75 ~e2=e2|~sQ125_spl|sQ52_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f39,f3665])).
% 0.14/5.75 fof(f5067,plain,(
% 0.14/5.75 $false|~sQ125_spl|sQ52_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f5066])).
% 0.14/5.75 fof(f5068,plain,(
% 0.14/5.75 ~sQ125_spl|sQ52_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f5067])).
% 0.14/5.75 fof(f5197,plain,(
% 0.14/5.75 ~e3=e3|~sQ125_spl|sQ18_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f40,f5044])).
% 0.14/5.75 fof(f5198,plain,(
% 0.14/5.75 $false|~sQ125_spl|sQ18_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f5197])).
% 0.14/5.75 fof(f5199,plain,(
% 0.14/5.75 ~sQ125_spl|sQ18_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f5198])).
% 0.14/5.75 fof(f5254,plain,(
% 0.14/5.75 ~op(unit,e1)=op(e2,e1)|~sQ125_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1563,f106])).
% 0.14/5.75 fof(f5255,plain,(
% 0.14/5.75 ~e1=op(e2,e1)|~sQ125_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f36,f5254])).
% 0.14/5.75 fof(f5256,plain,(
% 0.14/5.75 ~e1=e1|~sQ56_spl|~sQ125_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1342,f5255])).
% 0.14/5.75 fof(f5257,plain,(
% 0.14/5.75 $false|~sQ56_spl|~sQ125_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f5256])).
% 0.14/5.75 fof(f5258,plain,(
% 0.14/5.75 ~sQ56_spl|~sQ125_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f5257])).
% 0.14/5.75 fof(f5265,plain,(
% 0.14/5.75 ~sQ35_spl|~sQ30_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f3402,f1274,f1258])).
% 0.14/5.75 fof(f5343,plain,(
% 0.14/5.75 ~e2=e2|~sQ126_spl|~sQ67_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f39,f4531])).
% 0.14/5.75 fof(f5344,plain,(
% 0.14/5.75 $false|~sQ126_spl|~sQ67_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f5343])).
% 0.14/5.75 fof(f5345,plain,(
% 0.14/5.75 ~sQ126_spl|~sQ67_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f5344])).
% 0.14/5.75 fof(f5355,plain,(
% 0.14/5.75 ~sQ22_spl|~sQ12_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4618,f1232,f1200])).
% 0.14/5.75 fof(f5356,plain,(
% 0.14/5.75 ~sQ112_spl|~sQ12_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f4621,f1520,f1200])).
% 0.14/5.75 fof(f5376,plain,(
% 0.14/5.75 ~e3=e0|~sQ126_spl|sQ80_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f41,f4519])).
% 0.14/5.75 fof(f5462,plain,(
% 0.14/5.75 ~sQ120_spl|~sQ70_spl),
% 0.14/5.75 inference(split_clause,[status(thm)],[f2756,f1546,f1386])).
% 0.14/5.75 fof(f5467,plain,(
% 0.14/5.75 e3=e0|~sQ73_spl|~sQ70_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1396,f1387])).
% 0.14/5.75 fof(f5468,plain,(
% 0.14/5.75 $false|~sQ126_spl|sQ80_spl|~sQ73_spl|~sQ70_spl),
% 0.14/5.75 inference(forward_subsumption_resolution,[status(thm)],[f5467,f5376])).
% 0.14/5.75 fof(f5469,plain,(
% 0.14/5.75 ~sQ126_spl|sQ80_spl|~sQ73_spl|~sQ70_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f5468])).
% 0.14/5.75 fof(f5483,plain,(
% 0.14/5.75 ~e4=op(e4,unit)|~sQ126_spl|~sQ104_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f1566,f4490])).
% 0.14/5.75 fof(f5484,plain,(
% 0.14/5.75 ~e4=e4|~sQ126_spl|~sQ104_spl),
% 0.14/5.75 inference(forward_demodulation,[status(thm)],[f43,f5483])).
% 0.14/5.75 fof(f5485,plain,(
% 0.14/5.75 $false|~sQ126_spl|~sQ104_spl),
% 0.14/5.75 inference(trivial_equality_resolution,[status(thm)],[f5484])).
% 0.14/5.75 fof(f5486,plain,(
% 0.14/5.75 ~sQ126_spl|~sQ104_spl),
% 0.14/5.75 inference(contradiction_clause,[status(thm)],[f5485])).
% 0.14/5.75 fof(f5487,plain,(
% 0.14/5.75 $false),
% 0.14/5.75 inference(sat_refutation,[status(thm)],[f1209,f1241,f1321,f1353,f1385,f1561,f1577,f1578,f1580,f1582,f1588,f1598,f1600,f1619,f1623,f1707,f1801,f1875,f1884,f1979,f1980,f1988,f1996,f2004,f2005,f2006,f2012,f2020,f2028,f2036,f2044,f2052,f2060,f2068,f2076,f2084,f2092,f2100,f2108,f2116,f2117,f2124,f2132,f2140,f2141,f2142,f2148,f2156,f2164,f2172,f2180,f2188,f2196,f2204,f2212,f2220,f2228,f2236,f2244,f2253,f2260,f2261,f2268,f2276,f2292,f2300,f2308,f2309,f2324,f2326,f2327,f2332,f2333,f2340,f2356,f2357,f2359,f2364,f2372,f2388,f2391,f2396,f2404,f2405,f2420,f2421,f2422,f2423,f2428,f2431,f2436,f2437,f2452,f2454,f2455,f2456,f2460,f2461,f2468,f2471,f2484,f2487,f2492,f2500,f2503,f2504,f2516,f2518,f2519,f2524,f2532,f2533,f2548,f2550,f2551,f2556,f2558,f2559,f2564,f2580,f2582,f2583,f2588,f2596,f2597,f2599,f2612,f2614,f2615,f2616,f2620,f2623,f2629,f2631,f2632,f2644,f2647,f2652,f2653,f2663,f2664,f2676,f2678,f2679,f2684,f2685,f2693,f2700,f2702,f2703,f2708,f2709,f2714,f2716,f2717,f2718,f2874,f2953,f3013,f3119,f3160,f3162,f3174,f3367,f3394,f3397,f3575,f3684,f3713,f3723,f3729,f3742,f3766,f3775,f3788,f3800,f3807,f3846,f3850,f3853,f3897,f3898,f3899,f3909,f3916,f3928,f3964,f3968,f3977,f4003,f4009,f4034,f4052,f4075,f4134,f4159,f4210,f4221,f4222,f4229,f4305,f4307,f4308,f4341,f4367,f4374,f4398,f4424,f4426,f4427,f4433,f4435,f4436,f4448,f4449,f4466,f4468,f4548,f4550,f4568,f4571,f4573,f4597,f4598,f4599,f4610,f4616,f4738,f4793,f4892,f4940,f5068,f5199,f5258,f5265,f5345,f5355,f5356,f5462,f5469,f5486])).
% 0.14/5.75 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.76 % Elapsed time: 0.226754 seconds
% 0.14/5.76 % CPU time: 1.322040 seconds
% 0.14/5.76 % Total memory used: 153.234 MB
% 0.14/5.76 % Net memory used: 152.708 MB
%------------------------------------------------------------------------------