%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG022+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 : n018.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 11:49:28 AM UTC 2026
% Result : Theorem 0.27s 0.64s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG022+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n018.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 12:55:15 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.49 % Drodi V4.1.1
% 0.27/0.64 % Refutation found
% 0.27/0.64 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.27/0.64 % SZS output start CNFRefutation for theBenchmark
% 0.27/0.64 fof(f1,axiom,(
% 0.27/0.64 ( e0 != e1& e0 != e2& e0 != e3& e1 != e2& e1 != e3& e2 != e3 ) ),
% 0.27/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.64 fof(f2,axiom,(
% 0.27/0.64 ( op(e0,e0) = e0& op(e0,e1) = e1& op(e0,e2) = e2& op(e0,e3) = e3& op(e1,e0) = e1& op(e1,e1) = e3& op(e1,e2) = e0& op(e1,e3) = e2& op(e2,e0) = e2& op(e2,e1) = e0& op(e2,e2) = e3& op(e2,e3) = e1& op(e3,e0) = e3& op(e3,e1) = e2& op(e3,e2) = e1& op(e3,e3) = e0 ) ),
% 0.27/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.64 fof(f3,axiom,(
% 0.27/0.64 unit = e0 ),
% 0.27/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.64 fof(f4,axiom,(
% 0.27/0.64 ( inv(e0) = e0& inv(e1) = e2& inv(e2) = e1& inv(e3) = e3 ) ),
% 0.27/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.64 fof(f5,conjecture,(
% 0.27/0.64 ( ~ ( ( op(e0,e0) = e0& op(e1,e1) = e0& op(e2,e2) = e0& op(e3,e3) = e0 )| ( op(e0,e0) = e1& op(e1,e1) = e1& op(e2,e2) = e1& op(e3,e3) = e1 )| ( op(e0,e0) = e2& op(e1,e1) = e2& op(e2,e2) = e2& op(e3,e3) = e2 )| ( op(e0,e0) = e3& op(e1,e1) = e3& op(e2,e2) = e3& op(e3,e3) = e3 ) )& ( op(e0,e0) = e0| op(e0,e0) = e1| op(e0,e0) = e2| op(e0,e0) = e3 )& ( op(e0,e1) = e0| op(e0,e1) = e1| op(e0,e1) = e2| op(e0,e1) = e3 )& ( op(e0,e2) = e0| op(e0,e2) = e1| op(e0,e2) = e2| op(e0,e2) = e3 )& ( op(e0,e3) = e0| op(e0,e3) = e1| op(e0,e3) = e2| op(e0,e3) = e3 )& ( op(e1,e0) = e0| op(e1,e0) = e1| op(e1,e0) = e2| op(e1,e0) = e3 )& ( op(e1,e1) = e0| op(e1,e1) = e1| op(e1,e1) = e2| op(e1,e1) = e3 )& ( op(e1,e2) = e0| op(e1,e2) = e1| op(e1,e2) = e2| op(e1,e2) = e3 )& ( op(e1,e3) = e0| op(e1,e3) = e1| op(e1,e3) = e2| op(e1,e3) = e3 )& ( op(e2,e0) = e0| op(e2,e0) = e1| op(e2,e0) = e2| op(e2,e0) = e3 )& ( op(e2,e1) = e0| op(e2,e1) = e1| op(e2,e1) = e2| op(e2,e1) = e3 )& ( op(e2,e2) = e0| op(e2,e2) = e1| op(e2,e2) = e2| op(e2,e2) = e3 )& ( op(e2,e3) = e0| op(e2,e3) = e1| op(e2,e3) = e2| op(e2,e3) = e3 )& ( op(e3,e0) = e0| op(e3,e0) = e1| op(e3,e0) = e2| op(e3,e0) = e3 )& ( op(e3,e1) = e0| op(e3,e1) = e1| op(e3,e1) = e2| op(e3,e1) = e3 )& ( op(e3,e2) = e0| op(e3,e2) = e1| op(e3,e2) = e2| op(e3,e2) = e3 )& ( op(e3,e3) = e0| op(e3,e3) = e1| op(e3,e3) = e2| op(e3,e3) = e3 )& op(op(e0,e0),e0) = op(e0,op(e0,e0))& op(op(e0,e0),e1) = op(e0,op(e0,e1))& op(op(e0,e0),e2) = op(e0,op(e0,e2))& op(op(e0,e0),e3) = op(e0,op(e0,e3))& op(op(e0,e1),e0) = op(e0,op(e1,e0))& op(op(e0,e1),e1) = op(e0,op(e1,e1))& op(op(e0,e1),e2) = op(e0,op(e1,e2))& op(op(e0,e1),e3) = op(e0,op(e1,e3))& op(op(e0,e2),e0) = op(e0,op(e2,e0))& op(op(e0,e2),e1) = op(e0,op(e2,e1))& op(op(e0,e2),e2) = op(e0,op(e2,e2))& op(op(e0,e2),e3) = op(e0,op(e2,e3))& op(op(e0,e3),e0) = op(e0,op(e3,e0))& op(op(e0,e3),e1) = op(e0,op(e3,e1))& op(op(e0,e3),e2) = op(e0,op(e3,e2))& op(op(e0,e3),e3) = op(e0,op(e3,e3))& op(op(e1,e0),e0) = op(e1,op(e0,e0))& op(op(e1,e0),e1) = op(e1,op(e0,e1))& op(op(e1,e0),e2) = op(e1,op(e0,e2))& op(op(e1,e0),e3) = op(e1,op(e0,e3))& op(op(e1,e1),e0) = op(e1,op(e1,e0))& op(op(e1,e1),e1) = op(e1,op(e1,e1))& op(op(e1,e1),e2) = op(e1,op(e1,e2))& op(op(e1,e1),e3) = op(e1,op(e1,e3))& op(op(e1,e2),e0) = op(e1,op(e2,e0))& op(op(e1,e2),e1) = op(e1,op(e2,e1))& op(op(e1,e2),e2) = op(e1,op(e2,e2))& op(op(e1,e2),e3) = op(e1,op(e2,e3))& op(op(e1,e3),e0) = op(e1,op(e3,e0))& op(op(e1,e3),e1) = op(e1,op(e3,e1))& op(op(e1,e3),e2) = op(e1,op(e3,e2))& op(op(e1,e3),e3) = op(e1,op(e3,e3))& op(op(e2,e0),e0) = op(e2,op(e0,e0))& op(op(e2,e0),e1) = op(e2,op(e0,e1))& op(op(e2,e0),e2) = op(e2,op(e0,e2))& op(op(e2,e0),e3) = op(e2,op(e0,e3))& op(op(e2,e1),e0) = op(e2,op(e1,e0))& op(op(e2,e1),e1) = op(e2,op(e1,e1))& op(op(e2,e1),e2) = op(e2,op(e1,e2))& op(op(e2,e1),e3) = op(e2,op(e1,e3))& op(op(e2,e2),e0) = op(e2,op(e2,e0))& op(op(e2,e2),e1) = op(e2,op(e2,e1))& op(op(e2,e2),e2) = op(e2,op(e2,e2))& op(op(e2,e2),e3) = op(e2,op(e2,e3))& op(op(e2,e3),e0) = op(e2,op(e3,e0))& op(op(e2,e3),e1) = op(e2,op(e3,e1))& op(op(e2,e3),e2) = op(e2,op(e3,e2))& op(op(e2,e3),e3) = op(e2,op(e3,e3))& op(op(e3,e0),e0) = op(e3,op(e0,e0))& op(op(e3,e0),e1) = op(e3,op(e0,e1))& op(op(e3,e0),e2) = op(e3,op(e0,e2))& op(op(e3,e0),e3) = op(e3,op(e0,e3))& op(op(e3,e1),e0) = op(e3,op(e1,e0))& op(op(e3,e1),e1) = op(e3,op(e1,e1))& op(op(e3,e1),e2) = op(e3,op(e1,e2))& op(op(e3,e1),e3) = op(e3,op(e1,e3))& op(op(e3,e2),e0) = op(e3,op(e2,e0))& op(op(e3,e2),e1) = op(e3,op(e2,e1))& op(op(e3,e2),e2) = op(e3,op(e2,e2))& op(op(e3,e2),e3) = op(e3,op(e2,e3))& op(op(e3,e3),e0) = op(e3,op(e3,e0))& op(op(e3,e3),e1) = op(e3,op(e3,e1))& op(op(e3,e3),e2) = op(e3,op(e3,e2))& op(op(e3,e3),e3) = op(e3,op(e3,e3))& op(unit,e0) = e0& op(e0,unit) = e0& op(unit,e1) = e1& op(e1,unit) = e1& op(unit,e2) = e2& op(e2,unit) = e2& op(unit,e3) = e3& op(e3,unit) = e3& ( unit = e0| unit = e1| unit = e2| unit = e3 )& op(e0,inv(e0)) = unit& op(inv(e0),e0) = unit& op(e1,inv(e1)) = unit& op(inv(e1),e1) = unit& op(e2,inv(e2)) = unit& op(inv(e2),e2) = unit& op(e3,inv(e3)) = unit& op(inv(e3),e3) = unit& ( inv(e0) = e0| inv(e0) = e1| inv(e0) = e2| inv(e0) = e3 )& ( inv(e1) = e0| inv(e1) = e1| inv(e1) = e2| inv(e1) = e3 )& ( inv(e2) = e0| inv(e2) = e1| inv(e2) = e2| inv(e2) = e3 )& ( inv(e3) = e0| inv(e3) = e1| inv(e3) = e2| inv(e3) = e3 ) ) ),
% 0.27/0.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.27/0.64 fof(f6,negated_conjecture,(
% 0.27/0.64 ~(( ~ ( ( op(e0,e0) = e0& op(e1,e1) = e0& op(e2,e2) = e0& op(e3,e3) = e0 )| ( op(e0,e0) = e1& op(e1,e1) = e1& op(e2,e2) = e1& op(e3,e3) = e1 )| ( op(e0,e0) = e2& op(e1,e1) = e2& op(e2,e2) = e2& op(e3,e3) = e2 )| ( op(e0,e0) = e3& op(e1,e1) = e3& op(e2,e2) = e3& op(e3,e3) = e3 ) )& ( op(e0,e0) = e0| op(e0,e0) = e1| op(e0,e0) = e2| op(e0,e0) = e3 )& ( op(e0,e1) = e0| op(e0,e1) = e1| op(e0,e1) = e2| op(e0,e1) = e3 )& ( op(e0,e2) = e0| op(e0,e2) = e1| op(e0,e2) = e2| op(e0,e2) = e3 )& ( op(e0,e3) = e0| op(e0,e3) = e1| op(e0,e3) = e2| op(e0,e3) = e3 )& ( op(e1,e0) = e0| op(e1,e0) = e1| op(e1,e0) = e2| op(e1,e0) = e3 )& ( op(e1,e1) = e0| op(e1,e1) = e1| op(e1,e1) = e2| op(e1,e1) = e3 )& ( op(e1,e2) = e0| op(e1,e2) = e1| op(e1,e2) = e2| op(e1,e2) = e3 )& ( op(e1,e3) = e0| op(e1,e3) = e1| op(e1,e3) = e2| op(e1,e3) = e3 )& ( op(e2,e0) = e0| op(e2,e0) = e1| op(e2,e0) = e2| op(e2,e0) = e3 )& ( op(e2,e1) = e0| op(e2,e1) = e1| op(e2,e1) = e2| op(e2,e1) = e3 )& ( op(e2,e2) = e0| op(e2,e2) = e1| op(e2,e2) = e2| op(e2,e2) = e3 )& ( op(e2,e3) = e0| op(e2,e3) = e1| op(e2,e3) = e2| op(e2,e3) = e3 )& ( op(e3,e0) = e0| op(e3,e0) = e1| op(e3,e0) = e2| op(e3,e0) = e3 )& ( op(e3,e1) = e0| op(e3,e1) = e1| op(e3,e1) = e2| op(e3,e1) = e3 )& ( op(e3,e2) = e0| op(e3,e2) = e1| op(e3,e2) = e2| op(e3,e2) = e3 )& ( op(e3,e3) = e0| op(e3,e3) = e1| op(e3,e3) = e2| op(e3,e3) = e3 )& op(op(e0,e0),e0) = op(e0,op(e0,e0))& op(op(e0,e0),e1) = op(e0,op(e0,e1))& op(op(e0,e0),e2) = op(e0,op(e0,e2))& op(op(e0,e0),e3) = op(e0,op(e0,e3))& op(op(e0,e1),e0) = op(e0,op(e1,e0))& op(op(e0,e1),e1) = op(e0,op(e1,e1))& op(op(e0,e1),e2) = op(e0,op(e1,e2))& op(op(e0,e1),e3) = op(e0,op(e1,e3))& op(op(e0,e2),e0) = op(e0,op(e2,e0))& op(op(e0,e2),e1) = op(e0,op(e2,e1))& op(op(e0,e2),e2) = op(e0,op(e2,e2))& op(op(e0,e2),e3) = op(e0,op(e2,e3))& op(op(e0,e3),e0) = op(e0,op(e3,e0))& op(op(e0,e3),e1) = op(e0,op(e3,e1))& op(op(e0,e3),e2) = op(e0,op(e3,e2))& op(op(e0,e3),e3) = op(e0,op(e3,e3))& op(op(e1,e0),e0) = op(e1,op(e0,e0))& op(op(e1,e0),e1) = op(e1,op(e0,e1))& op(op(e1,e0),e2) = op(e1,op(e0,e2))& op(op(e1,e0),e3) = op(e1,op(e0,e3))& op(op(e1,e1),e0) = op(e1,op(e1,e0))& op(op(e1,e1),e1) = op(e1,op(e1,e1))& op(op(e1,e1),e2) = op(e1,op(e1,e2))& op(op(e1,e1),e3) = op(e1,op(e1,e3))& op(op(e1,e2),e0) = op(e1,op(e2,e0))& op(op(e1,e2),e1) = op(e1,op(e2,e1))& op(op(e1,e2),e2) = op(e1,op(e2,e2))& op(op(e1,e2),e3) = op(e1,op(e2,e3))& op(op(e1,e3),e0) = op(e1,op(e3,e0))& op(op(e1,e3),e1) = op(e1,op(e3,e1))& op(op(e1,e3),e2) = op(e1,op(e3,e2))& op(op(e1,e3),e3) = op(e1,op(e3,e3))& op(op(e2,e0),e0) = op(e2,op(e0,e0))& op(op(e2,e0),e1) = op(e2,op(e0,e1))& op(op(e2,e0),e2) = op(e2,op(e0,e2))& op(op(e2,e0),e3) = op(e2,op(e0,e3))& op(op(e2,e1),e0) = op(e2,op(e1,e0))& op(op(e2,e1),e1) = op(e2,op(e1,e1))& op(op(e2,e1),e2) = op(e2,op(e1,e2))& op(op(e2,e1),e3) = op(e2,op(e1,e3))& op(op(e2,e2),e0) = op(e2,op(e2,e0))& op(op(e2,e2),e1) = op(e2,op(e2,e1))& op(op(e2,e2),e2) = op(e2,op(e2,e2))& op(op(e2,e2),e3) = op(e2,op(e2,e3))& op(op(e2,e3),e0) = op(e2,op(e3,e0))& op(op(e2,e3),e1) = op(e2,op(e3,e1))& op(op(e2,e3),e2) = op(e2,op(e3,e2))& op(op(e2,e3),e3) = op(e2,op(e3,e3))& op(op(e3,e0),e0) = op(e3,op(e0,e0))& op(op(e3,e0),e1) = op(e3,op(e0,e1))& op(op(e3,e0),e2) = op(e3,op(e0,e2))& op(op(e3,e0),e3) = op(e3,op(e0,e3))& op(op(e3,e1),e0) = op(e3,op(e1,e0))& op(op(e3,e1),e1) = op(e3,op(e1,e1))& op(op(e3,e1),e2) = op(e3,op(e1,e2))& op(op(e3,e1),e3) = op(e3,op(e1,e3))& op(op(e3,e2),e0) = op(e3,op(e2,e0))& op(op(e3,e2),e1) = op(e3,op(e2,e1))& op(op(e3,e2),e2) = op(e3,op(e2,e2))& op(op(e3,e2),e3) = op(e3,op(e2,e3))& op(op(e3,e3),e0) = op(e3,op(e3,e0))& op(op(e3,e3),e1) = op(e3,op(e3,e1))& op(op(e3,e3),e2) = op(e3,op(e3,e2))& op(op(e3,e3),e3) = op(e3,op(e3,e3))& op(unit,e0) = e0& op(e0,unit) = e0& op(unit,e1) = e1& op(e1,unit) = e1& op(unit,e2) = e2& op(e2,unit) = e2& op(unit,e3) = e3& op(e3,unit) = e3& ( unit = e0| unit = e1| unit = e2| unit = e3 )& op(e0,inv(e0)) = unit& op(inv(e0),e0) = unit& op(e1,inv(e1)) = unit& op(inv(e1),e1) = unit& op(e2,inv(e2)) = unit& op(inv(e2),e2) = unit& op(e3,inv(e3)) = unit& op(inv(e3),e3) = unit& ( inv(e0) = e0| inv(e0) = e1| inv(e0) = e2| inv(e0) = e3 )& ( inv(e1) = e0| inv(e1) = e1| inv(e1) = e2| inv(e1) = e3 )& ( inv(e2) = e0| inv(e2) = e1| inv(e2) = e2| inv(e2) = e3 )& ( inv(e3) = e0| inv(e3) = e1| inv(e3) = e2| inv(e3) = e3 ) ) )),
% 0.27/0.64 inference(negated_conjecture,[status(cth)],[f5])).
% 0.27/0.64 fof(f7,plain,(
% 0.27/0.64 ~e0=e1),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f1])).
% 0.27/0.64 fof(f8,plain,(
% 0.27/0.64 ~e0=e2),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f1])).
% 0.27/0.64 fof(f9,plain,(
% 0.27/0.64 ~e0=e3),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f1])).
% 0.27/0.64 fof(f13,plain,(
% 0.27/0.64 op(e0,e0)=e0),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f14,plain,(
% 0.27/0.64 op(e0,e1)=e1),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f15,plain,(
% 0.27/0.64 op(e0,e2)=e2),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f16,plain,(
% 0.27/0.64 op(e0,e3)=e3),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f17,plain,(
% 0.27/0.64 op(e1,e0)=e1),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f18,plain,(
% 0.27/0.64 op(e1,e1)=e3),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f19,plain,(
% 0.27/0.64 op(e1,e2)=e0),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f20,plain,(
% 0.27/0.64 op(e1,e3)=e2),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f21,plain,(
% 0.27/0.64 op(e2,e0)=e2),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f22,plain,(
% 0.27/0.64 op(e2,e1)=e0),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f23,plain,(
% 0.27/0.64 op(e2,e2)=e3),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f24,plain,(
% 0.27/0.64 op(e2,e3)=e1),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f25,plain,(
% 0.27/0.64 op(e3,e0)=e3),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f26,plain,(
% 0.27/0.64 op(e3,e1)=e2),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f27,plain,(
% 0.27/0.64 op(e3,e2)=e1),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f28,plain,(
% 0.27/0.64 op(e3,e3)=e0),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.27/0.64 fof(f29,plain,(
% 0.27/0.64 unit=e0),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f3])).
% 0.27/0.64 fof(f30,plain,(
% 0.27/0.64 inv(e0)=e0),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f4])).
% 0.27/0.64 fof(f31,plain,(
% 0.27/0.64 inv(e1)=e2),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f4])).
% 0.27/0.64 fof(f32,plain,(
% 0.27/0.64 inv(e2)=e1),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f4])).
% 0.27/0.64 fof(f33,plain,(
% 0.27/0.64 inv(e3)=e3),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f4])).
% 0.27/0.64 fof(f34,plain,(
% 0.27/0.64 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~op(op(e0,e0),e0)=op(e0,op(e0,e0)))|~op(op(e0,e0),e1)=op(e0,op(e0,e1)))|~op(op(e0,e0),e2)=op(e0,op(e0,e2)))|~op(op(e0,e0),e3)=op(e0,op(e0,e3)))|~op(op(e0,e1),e0)=op(e0,op(e1,e0)))|~op(op(e0,e1),e1)=op(e0,op(e1,e1)))|~op(op(e0,e1),e2)=op(e0,op(e1,e2)))|~op(op(e0,e1),e3)=op(e0,op(e1,e3)))|~op(op(e0,e2),e0)=op(e0,op(e2,e0)))|~op(op(e0,e2),e1)=op(e0,op(e2,e1)))|~op(op(e0,e2),e2)=op(e0,op(e2,e2)))|~op(op(e0,e2),e3)=op(e0,op(e2,e3)))|~op(op(e0,e3),e0)=op(e0,op(e3,e0)))|~op(op(e0,e3),e1)=op(e0,op(e3,e1)))|~op(op(e0,e3),e2)=op(e0,op(e3,e2)))|~op(op(e0,e3),e3)=op(e0,op(e3,e3)))|~op(op(e1,e0),e0)=op(e1,op(e0,e0)))|~op(op(e1,e0),e1)=op(e1,op(e0,e1)))|~op(op(e1,e0),e2)=op(e1,op(e0,e2)))|~op(op(e1,e0),e3)=op(e1,op(e0,e3)))|~op(op(e1,e1),e0)=op(e1,op(e1,e0)))|~op(op(e1,e1),e1)=op(e1,op(e1,e1)))|~op(op(e1,e1),e2)=op(e1,op(e1,e2)))|~op(op(e1,e1),e3)=op(e1,op(e1,e3)))|~op(op(e1,e2),e0)=op(e1,op(e2,e0)))|~op(op(e1,e2),e1)=op(e1,op(e2,e1)))|~op(op(e1,e2),e2)=op(e1,op(e2,e2)))|~op(op(e1,e2),e3)=op(e1,op(e2,e3)))|~op(op(e1,e3),e0)=op(e1,op(e3,e0)))|~op(op(e1,e3),e1)=op(e1,op(e3,e1)))|~op(op(e1,e3),e2)=op(e1,op(e3,e2)))|~op(op(e1,e3),e3)=op(e1,op(e3,e3)))|~op(op(e2,e0),e0)=op(e2,op(e0,e0)))|~op(op(e2,e0),e1)=op(e2,op(e0,e1)))|~op(op(e2,e0),e2)=op(e2,op(e0,e2)))|~op(op(e2,e0),e3)=op(e2,op(e0,e3)))|~op(op(e2,e1),e0)=op(e2,op(e1,e0)))|~op(op(e2,e1),e1)=op(e2,op(e1,e1)))|~op(op(e2,e1),e2)=op(e2,op(e1,e2)))|~op(op(e2,e1),e3)=op(e2,op(e1,e3)))|~op(op(e2,e2),e0)=op(e2,op(e2,e0)))|~op(op(e2,e2),e1)=op(e2,op(e2,e1)))|~op(op(e2,e2),e2)=op(e2,op(e2,e2)))|~op(op(e2,e2),e3)=op(e2,op(e2,e3)))|~op(op(e2,e3),e0)=op(e2,op(e3,e0)))|~op(op(e2,e3),e1)=op(e2,op(e3,e1)))|~op(op(e2,e3),e2)=op(e2,op(e3,e2)))|~op(op(e2,e3),e3)=op(e2,op(e3,e3)))|~op(op(e3,e0),e0)=op(e3,op(e0,e0)))|~op(op(e3,e0),e1)=op(e3,op(e0,e1)))|~op(op(e3,e0),e2)=op(e3,op(e0,e2)))|~op(op(e3,e0),e3)=op(e3,op(e0,e3)))|~op(op(e3,e1),e0)=op(e3,op(e1,e0)))|~op(op(e3,e1),e1)=op(e3,op(e1,e1)))|~op(op(e3,e1),e2)=op(e3,op(e1,e2)))|~op(op(e3,e1),e3)=op(e3,op(e1,e3)))|~op(op(e3,e2),e0)=op(e3,op(e2,e0)))|~op(op(e3,e2),e1)=op(e3,op(e2,e1)))|~op(op(e3,e2),e2)=op(e3,op(e2,e2)))|~op(op(e3,e2),e3)=op(e3,op(e2,e3)))|~op(op(e3,e3),e0)=op(e3,op(e3,e0)))|~op(op(e3,e3),e1)=op(e3,op(e3,e1)))|~op(op(e3,e3),e2)=op(e3,op(e3,e2)))|~op(op(e3,e3),e3)=op(e3,op(e3,e3)))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|~op(e0,inv(e0))=unit)|~op(inv(e0),e0)=unit)|~op(e1,inv(e1))=unit)|~op(inv(e1),e1)=unit)|~op(e2,inv(e2))=unit)|~op(inv(e2),e2)=unit)|~op(e3,inv(e3))=unit)|~op(inv(e3),e3)=unit)|(((~inv(e0)=e0&~inv(e0)=e1)&~inv(e0)=e2)&~inv(e0)=e3))|(((~inv(e1)=e0&~inv(e1)=e1)&~inv(e1)=e2)&~inv(e1)=e3))|(((~inv(e2)=e0&~inv(e2)=e1)&~inv(e2)=e2)&~inv(e2)=e3))|(((~inv(e3)=e0&~inv(e3)=e1)&~inv(e3)=e2)&~inv(e3)=e3))),
% 0.27/0.64 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.27/0.64 fof(f35,definition,(
% 0.27/0.64 sP0_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~op(op(e0,e0),e0)=op(e0,op(e0,e0)))|~op(op(e0,e0),e1)=op(e0,op(e0,e1)))|~op(op(e0,e0),e2)=op(e0,op(e0,e2)))|~op(op(e0,e0),e3)=op(e0,op(e0,e3)))|~op(op(e0,e1),e0)=op(e0,op(e1,e0)))|~op(op(e0,e1),e1)=op(e0,op(e1,e1)))|~op(op(e0,e1),e2)=op(e0,op(e1,e2)))|~op(op(e0,e1),e3)=op(e0,op(e1,e3)))|~op(op(e0,e2),e0)=op(e0,op(e2,e0)))|~op(op(e0,e2),e1)=op(e0,op(e2,e1)))|~op(op(e0,e2),e2)=op(e0,op(e2,e2)))|~op(op(e0,e2),e3)=op(e0,op(e2,e3)))|~op(op(e0,e3),e0)=op(e0,op(e3,e0)))|~op(op(e0,e3),e1)=op(e0,op(e3,e1)))|~op(op(e0,e3),e2)=op(e0,op(e3,e2)))|~op(op(e0,e3),e3)=op(e0,op(e3,e3)))|~op(op(e1,e0),e0)=op(e1,op(e0,e0)))|~op(op(e1,e0),e1)=op(e1,op(e0,e1)))|~op(op(e1,e0),e2)=op(e1,op(e0,e2)))|~op(op(e1,e0),e3)=op(e1,op(e0,e3)))|~op(op(e1,e1),e0)=op(e1,op(e1,e0)))|~op(op(e1,e1),e1)=op(e1,op(e1,e1)))|~op(op(e1,e1),e2)=op(e1,op(e1,e2)))|~op(op(e1,e1),e3)=op(e1,op(e1,e3)))|~op(op(e1,e2),e0)=op(e1,op(e2,e0)))|~op(op(e1,e2),e1)=op(e1,op(e2,e1)))|~op(op(e1,e2),e2)=op(e1,op(e2,e2)))|~op(op(e1,e2),e3)=op(e1,op(e2,e3)))|~op(op(e1,e3),e0)=op(e1,op(e3,e0)))|~op(op(e1,e3),e1)=op(e1,op(e3,e1)))|~op(op(e1,e3),e2)=op(e1,op(e3,e2)))|~op(op(e1,e3),e3)=op(e1,op(e3,e3)))|~op(op(e2,e0),e0)=op(e2,op(e0,e0)))|~op(op(e2,e0),e1)=op(e2,op(e0,e1)))|~op(op(e2,e0),e2)=op(e2,op(e0,e2)))|~op(op(e2,e0),e3)=op(e2,op(e0,e3)))|~op(op(e2,e1),e0)=op(e2,op(e1,e0)))|~op(op(e2,e1),e1)=op(e2,op(e1,e1)))|~op(op(e2,e1),e2)=op(e2,op(e1,e2)))|~op(op(e2,e1),e3)=op(e2,op(e1,e3)))|~op(op(e2,e2),e0)=op(e2,op(e2,e0)))|~op(op(e2,e2),e1)=op(e2,op(e2,e1)))|~op(op(e2,e2),e2)=op(e2,op(e2,e2)))|~op(op(e2,e2),e3)=op(e2,op(e2,e3)))|~op(op(e2,e3),e0)=op(e2,op(e3,e0)))|~op(op(e2,e3),e1)=op(e2,op(e3,e1)))|~op(op(e2,e3),e2)=op(e2,op(e3,e2)))|~op(op(e2,e3),e3)=op(e2,op(e3,e3)))|~op(op(e3,e0),e0)=op(e3,op(e0,e0)))|~op(op(e3,e0),e1)=op(e3,op(e0,e1)))|~op(op(e3,e0),e2)=op(e3,op(e0,e2)))|~op(op(e3,e0),e3)=op(e3,op(e0,e3)))|~op(op(e3,e1),e0)=op(e3,op(e1,e0)))|~op(op(e3,e1),e1)=op(e3,op(e1,e1)))|~op(op(e3,e1),e2)=op(e3,op(e1,e2)))|~op(op(e3,e1),e3)=op(e3,op(e1,e3)))|~op(op(e3,e2),e0)=op(e3,op(e2,e0)))|~op(op(e3,e2),e1)=op(e3,op(e2,e1)))|~op(op(e3,e2),e2)=op(e3,op(e2,e2)))|~op(op(e3,e2),e3)=op(e3,op(e2,e3)))|~op(op(e3,e3),e0)=op(e3,op(e3,e0)))|~op(op(e3,e3),e1)=op(e3,op(e3,e1)))|~op(op(e3,e3),e2)=op(e3,op(e3,e2)))|~op(op(e3,e3),e3)=op(e3,op(e3,e3)))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|~op(e0,inv(e0))=unit)|~op(inv(e0),e0)=unit)|~op(e1,inv(e1))=unit)|~op(inv(e1),e1)=unit)|~op(e2,inv(e2))=unit)|~op(inv(e2),e2)=unit)|~op(e3,inv(e3))=unit)|~op(inv(e3),e3)=unit)|(((~inv(e0)=e0&~inv(e0)=e1)&~inv(e0)=e2)&~inv(e0)=e3))|(((~inv(e1)=e0&~inv(e1)=e1)&~inv(e1)=e2)&~inv(e1)=e3))|(((~inv(e2)=e0&~inv(e2)=e1)&~inv(e2)=e2)&~inv(e2)=e3))),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.27/0.64 fof(f36,plain,(
% 0.27/0.64 sP0_prd|(((~inv(e3)=e0&~inv(e3)=e1)&~inv(e3)=e2)&~inv(e3)=e3)),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f34,f35])).
% 0.27/0.64 fof(f40,plain,(
% 0.27/0.64 sP0_prd|~inv(e3)=e3),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f36])).
% 0.27/0.64 fof(f41,definition,(
% 0.27/0.64 sP1_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~op(op(e0,e0),e0)=op(e0,op(e0,e0)))|~op(op(e0,e0),e1)=op(e0,op(e0,e1)))|~op(op(e0,e0),e2)=op(e0,op(e0,e2)))|~op(op(e0,e0),e3)=op(e0,op(e0,e3)))|~op(op(e0,e1),e0)=op(e0,op(e1,e0)))|~op(op(e0,e1),e1)=op(e0,op(e1,e1)))|~op(op(e0,e1),e2)=op(e0,op(e1,e2)))|~op(op(e0,e1),e3)=op(e0,op(e1,e3)))|~op(op(e0,e2),e0)=op(e0,op(e2,e0)))|~op(op(e0,e2),e1)=op(e0,op(e2,e1)))|~op(op(e0,e2),e2)=op(e0,op(e2,e2)))|~op(op(e0,e2),e3)=op(e0,op(e2,e3)))|~op(op(e0,e3),e0)=op(e0,op(e3,e0)))|~op(op(e0,e3),e1)=op(e0,op(e3,e1)))|~op(op(e0,e3),e2)=op(e0,op(e3,e2)))|~op(op(e0,e3),e3)=op(e0,op(e3,e3)))|~op(op(e1,e0),e0)=op(e1,op(e0,e0)))|~op(op(e1,e0),e1)=op(e1,op(e0,e1)))|~op(op(e1,e0),e2)=op(e1,op(e0,e2)))|~op(op(e1,e0),e3)=op(e1,op(e0,e3)))|~op(op(e1,e1),e0)=op(e1,op(e1,e0)))|~op(op(e1,e1),e1)=op(e1,op(e1,e1)))|~op(op(e1,e1),e2)=op(e1,op(e1,e2)))|~op(op(e1,e1),e3)=op(e1,op(e1,e3)))|~op(op(e1,e2),e0)=op(e1,op(e2,e0)))|~op(op(e1,e2),e1)=op(e1,op(e2,e1)))|~op(op(e1,e2),e2)=op(e1,op(e2,e2)))|~op(op(e1,e2),e3)=op(e1,op(e2,e3)))|~op(op(e1,e3),e0)=op(e1,op(e3,e0)))|~op(op(e1,e3),e1)=op(e1,op(e3,e1)))|~op(op(e1,e3),e2)=op(e1,op(e3,e2)))|~op(op(e1,e3),e3)=op(e1,op(e3,e3)))|~op(op(e2,e0),e0)=op(e2,op(e0,e0)))|~op(op(e2,e0),e1)=op(e2,op(e0,e1)))|~op(op(e2,e0),e2)=op(e2,op(e0,e2)))|~op(op(e2,e0),e3)=op(e2,op(e0,e3)))|~op(op(e2,e1),e0)=op(e2,op(e1,e0)))|~op(op(e2,e1),e1)=op(e2,op(e1,e1)))|~op(op(e2,e1),e2)=op(e2,op(e1,e2)))|~op(op(e2,e1),e3)=op(e2,op(e1,e3)))|~op(op(e2,e2),e0)=op(e2,op(e2,e0)))|~op(op(e2,e2),e1)=op(e2,op(e2,e1)))|~op(op(e2,e2),e2)=op(e2,op(e2,e2)))|~op(op(e2,e2),e3)=op(e2,op(e2,e3)))|~op(op(e2,e3),e0)=op(e2,op(e3,e0)))|~op(op(e2,e3),e1)=op(e2,op(e3,e1)))|~op(op(e2,e3),e2)=op(e2,op(e3,e2)))|~op(op(e2,e3),e3)=op(e2,op(e3,e3)))|~op(op(e3,e0),e0)=op(e3,op(e0,e0)))|~op(op(e3,e0),e1)=op(e3,op(e0,e1)))|~op(op(e3,e0),e2)=op(e3,op(e0,e2)))|~op(op(e3,e0),e3)=op(e3,op(e0,e3)))|~op(op(e3,e1),e0)=op(e3,op(e1,e0)))|~op(op(e3,e1),e1)=op(e3,op(e1,e1)))|~op(op(e3,e1),e2)=op(e3,op(e1,e2)))|~op(op(e3,e1),e3)=op(e3,op(e1,e3)))|~op(op(e3,e2),e0)=op(e3,op(e2,e0)))|~op(op(e3,e2),e1)=op(e3,op(e2,e1)))|~op(op(e3,e2),e2)=op(e3,op(e2,e2)))|~op(op(e3,e2),e3)=op(e3,op(e2,e3)))|~op(op(e3,e3),e0)=op(e3,op(e3,e0)))|~op(op(e3,e3),e1)=op(e3,op(e3,e1)))|~op(op(e3,e3),e2)=op(e3,op(e3,e2)))|~op(op(e3,e3),e3)=op(e3,op(e3,e3)))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|~op(e0,inv(e0))=unit)|~op(inv(e0),e0)=unit)|~op(e1,inv(e1))=unit)|~op(inv(e1),e1)=unit)|~op(e2,inv(e2))=unit)|~op(inv(e2),e2)=unit)|~op(e3,inv(e3))=unit)|~op(inv(e3),e3)=unit)|(((~inv(e0)=e0&~inv(e0)=e1)&~inv(e0)=e2)&~inv(e0)=e3))|(((~inv(e1)=e0&~inv(e1)=e1)&~inv(e1)=e2)&~inv(e1)=e3))),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.27/0.64 fof(f42,plain,(
% 0.27/0.64 sP0_prd<=>(sP1_prd|(((~inv(e2)=e0&~inv(e2)=e1)&~inv(e2)=e2)&~inv(e2)=e3))),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f35,f41])).
% 0.27/0.64 fof(f43,plain,(
% 0.27/0.64 (~sP0_prd|(sP1_prd|(((~inv(e2)=e0&~inv(e2)=e1)&~inv(e2)=e2)&~inv(e2)=e3)))&(sP0_prd|(~sP1_prd&(((inv(e2)=e0|inv(e2)=e1)|inv(e2)=e2)|inv(e2)=e3)))),
% 0.27/0.64 inference(NNF_transformation,[status(thm)],[f42])).
% 0.27/0.64 fof(f45,plain,(
% 0.27/0.64 ~sP0_prd|sP1_prd|~inv(e2)=e1),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f43])).
% 0.27/0.64 fof(f50,definition,(
% 0.27/0.64 sP2_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~op(op(e0,e0),e0)=op(e0,op(e0,e0)))|~op(op(e0,e0),e1)=op(e0,op(e0,e1)))|~op(op(e0,e0),e2)=op(e0,op(e0,e2)))|~op(op(e0,e0),e3)=op(e0,op(e0,e3)))|~op(op(e0,e1),e0)=op(e0,op(e1,e0)))|~op(op(e0,e1),e1)=op(e0,op(e1,e1)))|~op(op(e0,e1),e2)=op(e0,op(e1,e2)))|~op(op(e0,e1),e3)=op(e0,op(e1,e3)))|~op(op(e0,e2),e0)=op(e0,op(e2,e0)))|~op(op(e0,e2),e1)=op(e0,op(e2,e1)))|~op(op(e0,e2),e2)=op(e0,op(e2,e2)))|~op(op(e0,e2),e3)=op(e0,op(e2,e3)))|~op(op(e0,e3),e0)=op(e0,op(e3,e0)))|~op(op(e0,e3),e1)=op(e0,op(e3,e1)))|~op(op(e0,e3),e2)=op(e0,op(e3,e2)))|~op(op(e0,e3),e3)=op(e0,op(e3,e3)))|~op(op(e1,e0),e0)=op(e1,op(e0,e0)))|~op(op(e1,e0),e1)=op(e1,op(e0,e1)))|~op(op(e1,e0),e2)=op(e1,op(e0,e2)))|~op(op(e1,e0),e3)=op(e1,op(e0,e3)))|~op(op(e1,e1),e0)=op(e1,op(e1,e0)))|~op(op(e1,e1),e1)=op(e1,op(e1,e1)))|~op(op(e1,e1),e2)=op(e1,op(e1,e2)))|~op(op(e1,e1),e3)=op(e1,op(e1,e3)))|~op(op(e1,e2),e0)=op(e1,op(e2,e0)))|~op(op(e1,e2),e1)=op(e1,op(e2,e1)))|~op(op(e1,e2),e2)=op(e1,op(e2,e2)))|~op(op(e1,e2),e3)=op(e1,op(e2,e3)))|~op(op(e1,e3),e0)=op(e1,op(e3,e0)))|~op(op(e1,e3),e1)=op(e1,op(e3,e1)))|~op(op(e1,e3),e2)=op(e1,op(e3,e2)))|~op(op(e1,e3),e3)=op(e1,op(e3,e3)))|~op(op(e2,e0),e0)=op(e2,op(e0,e0)))|~op(op(e2,e0),e1)=op(e2,op(e0,e1)))|~op(op(e2,e0),e2)=op(e2,op(e0,e2)))|~op(op(e2,e0),e3)=op(e2,op(e0,e3)))|~op(op(e2,e1),e0)=op(e2,op(e1,e0)))|~op(op(e2,e1),e1)=op(e2,op(e1,e1)))|~op(op(e2,e1),e2)=op(e2,op(e1,e2)))|~op(op(e2,e1),e3)=op(e2,op(e1,e3)))|~op(op(e2,e2),e0)=op(e2,op(e2,e0)))|~op(op(e2,e2),e1)=op(e2,op(e2,e1)))|~op(op(e2,e2),e2)=op(e2,op(e2,e2)))|~op(op(e2,e2),e3)=op(e2,op(e2,e3)))|~op(op(e2,e3),e0)=op(e2,op(e3,e0)))|~op(op(e2,e3),e1)=op(e2,op(e3,e1)))|~op(op(e2,e3),e2)=op(e2,op(e3,e2)))|~op(op(e2,e3),e3)=op(e2,op(e3,e3)))|~op(op(e3,e0),e0)=op(e3,op(e0,e0)))|~op(op(e3,e0),e1)=op(e3,op(e0,e1)))|~op(op(e3,e0),e2)=op(e3,op(e0,e2)))|~op(op(e3,e0),e3)=op(e3,op(e0,e3)))|~op(op(e3,e1),e0)=op(e3,op(e1,e0)))|~op(op(e3,e1),e1)=op(e3,op(e1,e1)))|~op(op(e3,e1),e2)=op(e3,op(e1,e2)))|~op(op(e3,e1),e3)=op(e3,op(e1,e3)))|~op(op(e3,e2),e0)=op(e3,op(e2,e0)))|~op(op(e3,e2),e1)=op(e3,op(e2,e1)))|~op(op(e3,e2),e2)=op(e3,op(e2,e2)))|~op(op(e3,e2),e3)=op(e3,op(e2,e3)))|~op(op(e3,e3),e0)=op(e3,op(e3,e0)))|~op(op(e3,e3),e1)=op(e3,op(e3,e1)))|~op(op(e3,e3),e2)=op(e3,op(e3,e2)))|~op(op(e3,e3),e3)=op(e3,op(e3,e3)))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|~op(e0,inv(e0))=unit)|~op(inv(e0),e0)=unit)|~op(e1,inv(e1))=unit)|~op(inv(e1),e1)=unit)|~op(e2,inv(e2))=unit)|~op(inv(e2),e2)=unit)|~op(e3,inv(e3))=unit)|~op(inv(e3),e3)=unit)|(((~inv(e0)=e0&~inv(e0)=e1)&~inv(e0)=e2)&~inv(e0)=e3))),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.27/0.64 fof(f51,plain,(
% 0.27/0.64 sP1_prd<=>(sP2_prd|(((~inv(e1)=e0&~inv(e1)=e1)&~inv(e1)=e2)&~inv(e1)=e3))),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f41,f50])).
% 0.27/0.64 fof(f52,plain,(
% 0.27/0.64 (~sP1_prd|(sP2_prd|(((~inv(e1)=e0&~inv(e1)=e1)&~inv(e1)=e2)&~inv(e1)=e3)))&(sP1_prd|(~sP2_prd&(((inv(e1)=e0|inv(e1)=e1)|inv(e1)=e2)|inv(e1)=e3)))),
% 0.27/0.64 inference(NNF_transformation,[status(thm)],[f51])).
% 0.27/0.64 fof(f55,plain,(
% 0.27/0.64 ~sP1_prd|sP2_prd|~inv(e1)=e2),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f52])).
% 0.27/0.64 fof(f59,definition,(
% 0.27/0.64 sP3_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~op(op(e0,e0),e0)=op(e0,op(e0,e0)))|~op(op(e0,e0),e1)=op(e0,op(e0,e1)))|~op(op(e0,e0),e2)=op(e0,op(e0,e2)))|~op(op(e0,e0),e3)=op(e0,op(e0,e3)))|~op(op(e0,e1),e0)=op(e0,op(e1,e0)))|~op(op(e0,e1),e1)=op(e0,op(e1,e1)))|~op(op(e0,e1),e2)=op(e0,op(e1,e2)))|~op(op(e0,e1),e3)=op(e0,op(e1,e3)))|~op(op(e0,e2),e0)=op(e0,op(e2,e0)))|~op(op(e0,e2),e1)=op(e0,op(e2,e1)))|~op(op(e0,e2),e2)=op(e0,op(e2,e2)))|~op(op(e0,e2),e3)=op(e0,op(e2,e3)))|~op(op(e0,e3),e0)=op(e0,op(e3,e0)))|~op(op(e0,e3),e1)=op(e0,op(e3,e1)))|~op(op(e0,e3),e2)=op(e0,op(e3,e2)))|~op(op(e0,e3),e3)=op(e0,op(e3,e3)))|~op(op(e1,e0),e0)=op(e1,op(e0,e0)))|~op(op(e1,e0),e1)=op(e1,op(e0,e1)))|~op(op(e1,e0),e2)=op(e1,op(e0,e2)))|~op(op(e1,e0),e3)=op(e1,op(e0,e3)))|~op(op(e1,e1),e0)=op(e1,op(e1,e0)))|~op(op(e1,e1),e1)=op(e1,op(e1,e1)))|~op(op(e1,e1),e2)=op(e1,op(e1,e2)))|~op(op(e1,e1),e3)=op(e1,op(e1,e3)))|~op(op(e1,e2),e0)=op(e1,op(e2,e0)))|~op(op(e1,e2),e1)=op(e1,op(e2,e1)))|~op(op(e1,e2),e2)=op(e1,op(e2,e2)))|~op(op(e1,e2),e3)=op(e1,op(e2,e3)))|~op(op(e1,e3),e0)=op(e1,op(e3,e0)))|~op(op(e1,e3),e1)=op(e1,op(e3,e1)))|~op(op(e1,e3),e2)=op(e1,op(e3,e2)))|~op(op(e1,e3),e3)=op(e1,op(e3,e3)))|~op(op(e2,e0),e0)=op(e2,op(e0,e0)))|~op(op(e2,e0),e1)=op(e2,op(e0,e1)))|~op(op(e2,e0),e2)=op(e2,op(e0,e2)))|~op(op(e2,e0),e3)=op(e2,op(e0,e3)))|~op(op(e2,e1),e0)=op(e2,op(e1,e0)))|~op(op(e2,e1),e1)=op(e2,op(e1,e1)))|~op(op(e2,e1),e2)=op(e2,op(e1,e2)))|~op(op(e2,e1),e3)=op(e2,op(e1,e3)))|~op(op(e2,e2),e0)=op(e2,op(e2,e0)))|~op(op(e2,e2),e1)=op(e2,op(e2,e1)))|~op(op(e2,e2),e2)=op(e2,op(e2,e2)))|~op(op(e2,e2),e3)=op(e2,op(e2,e3)))|~op(op(e2,e3),e0)=op(e2,op(e3,e0)))|~op(op(e2,e3),e1)=op(e2,op(e3,e1)))|~op(op(e2,e3),e2)=op(e2,op(e3,e2)))|~op(op(e2,e3),e3)=op(e2,op(e3,e3)))|~op(op(e3,e0),e0)=op(e3,op(e0,e0)))|~op(op(e3,e0),e1)=op(e3,op(e0,e1)))|~op(op(e3,e0),e2)=op(e3,op(e0,e2)))|~op(op(e3,e0),e3)=op(e3,op(e0,e3)))|~op(op(e3,e1),e0)=op(e3,op(e1,e0)))|~op(op(e3,e1),e1)=op(e3,op(e1,e1)))|~op(op(e3,e1),e2)=op(e3,op(e1,e2)))|~op(op(e3,e1),e3)=op(e3,op(e1,e3)))|~op(op(e3,e2),e0)=op(e3,op(e2,e0)))|~op(op(e3,e2),e1)=op(e3,op(e2,e1)))|~op(op(e3,e2),e2)=op(e3,op(e2,e2)))|~op(op(e3,e2),e3)=op(e3,op(e2,e3)))|~op(op(e3,e3),e0)=op(e3,op(e3,e0)))|~op(op(e3,e3),e1)=op(e3,op(e3,e1)))|~op(op(e3,e3),e2)=op(e3,op(e3,e2)))|~op(op(e3,e3),e3)=op(e3,op(e3,e3)))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|~op(e0,inv(e0))=unit)|~op(inv(e0),e0)=unit)|~op(e1,inv(e1))=unit)|~op(inv(e1),e1)=unit)|~op(e2,inv(e2))=unit)|~op(inv(e2),e2)=unit)|~op(e3,inv(e3))=unit)|~op(inv(e3),e3)=unit)),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.27/0.64 fof(f60,plain,(
% 0.27/0.64 sP2_prd<=>(sP3_prd|(((~inv(e0)=e0&~inv(e0)=e1)&~inv(e0)=e2)&~inv(e0)=e3))),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f50,f59])).
% 0.27/0.64 fof(f61,plain,(
% 0.27/0.64 (~sP2_prd|(sP3_prd|(((~inv(e0)=e0&~inv(e0)=e1)&~inv(e0)=e2)&~inv(e0)=e3)))&(sP2_prd|(~sP3_prd&(((inv(e0)=e0|inv(e0)=e1)|inv(e0)=e2)|inv(e0)=e3)))),
% 0.27/0.64 inference(NNF_transformation,[status(thm)],[f60])).
% 0.27/0.64 fof(f62,plain,(
% 0.27/0.64 ~sP2_prd|sP3_prd|~inv(e0)=e0),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f61])).
% 0.27/0.64 fof(f68,definition,(
% 0.27/0.64 sP4_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~op(op(e0,e0),e0)=op(e0,op(e0,e0)))|~op(op(e0,e0),e1)=op(e0,op(e0,e1)))|~op(op(e0,e0),e2)=op(e0,op(e0,e2)))|~op(op(e0,e0),e3)=op(e0,op(e0,e3)))|~op(op(e0,e1),e0)=op(e0,op(e1,e0)))|~op(op(e0,e1),e1)=op(e0,op(e1,e1)))|~op(op(e0,e1),e2)=op(e0,op(e1,e2)))|~op(op(e0,e1),e3)=op(e0,op(e1,e3)))|~op(op(e0,e2),e0)=op(e0,op(e2,e0)))|~op(op(e0,e2),e1)=op(e0,op(e2,e1)))|~op(op(e0,e2),e2)=op(e0,op(e2,e2)))|~op(op(e0,e2),e3)=op(e0,op(e2,e3)))|~op(op(e0,e3),e0)=op(e0,op(e3,e0)))|~op(op(e0,e3),e1)=op(e0,op(e3,e1)))|~op(op(e0,e3),e2)=op(e0,op(e3,e2)))|~op(op(e0,e3),e3)=op(e0,op(e3,e3)))|~op(op(e1,e0),e0)=op(e1,op(e0,e0)))|~op(op(e1,e0),e1)=op(e1,op(e0,e1)))|~op(op(e1,e0),e2)=op(e1,op(e0,e2)))|~op(op(e1,e0),e3)=op(e1,op(e0,e3)))|~op(op(e1,e1),e0)=op(e1,op(e1,e0)))|~op(op(e1,e1),e1)=op(e1,op(e1,e1)))|~op(op(e1,e1),e2)=op(e1,op(e1,e2)))|~op(op(e1,e1),e3)=op(e1,op(e1,e3)))|~op(op(e1,e2),e0)=op(e1,op(e2,e0)))|~op(op(e1,e2),e1)=op(e1,op(e2,e1)))|~op(op(e1,e2),e2)=op(e1,op(e2,e2)))|~op(op(e1,e2),e3)=op(e1,op(e2,e3)))|~op(op(e1,e3),e0)=op(e1,op(e3,e0)))|~op(op(e1,e3),e1)=op(e1,op(e3,e1)))|~op(op(e1,e3),e2)=op(e1,op(e3,e2)))|~op(op(e1,e3),e3)=op(e1,op(e3,e3)))|~op(op(e2,e0),e0)=op(e2,op(e0,e0)))|~op(op(e2,e0),e1)=op(e2,op(e0,e1)))|~op(op(e2,e0),e2)=op(e2,op(e0,e2)))|~op(op(e2,e0),e3)=op(e2,op(e0,e3)))|~op(op(e2,e1),e0)=op(e2,op(e1,e0)))|~op(op(e2,e1),e1)=op(e2,op(e1,e1)))|~op(op(e2,e1),e2)=op(e2,op(e1,e2)))|~op(op(e2,e1),e3)=op(e2,op(e1,e3)))|~op(op(e2,e2),e0)=op(e2,op(e2,e0)))|~op(op(e2,e2),e1)=op(e2,op(e2,e1)))|~op(op(e2,e2),e2)=op(e2,op(e2,e2)))|~op(op(e2,e2),e3)=op(e2,op(e2,e3)))|~op(op(e2,e3),e0)=op(e2,op(e3,e0)))|~op(op(e2,e3),e1)=op(e2,op(e3,e1)))|~op(op(e2,e3),e2)=op(e2,op(e3,e2)))|~op(op(e2,e3),e3)=op(e2,op(e3,e3)))|~op(op(e3,e0),e0)=op(e3,op(e0,e0)))|~op(op(e3,e0),e1)=op(e3,op(e0,e1)))|~op(op(e3,e0),e2)=op(e3,op(e0,e2)))|~op(op(e3,e0),e3)=op(e3,op(e0,e3)))|~op(op(e3,e1),e0)=op(e3,op(e1,e0)))|~op(op(e3,e1),e1)=op(e3,op(e1,e1)))|~op(op(e3,e1),e2)=op(e3,op(e1,e2)))|~op(op(e3,e1),e3)=op(e3,op(e1,e3)))|~op(op(e3,e2),e0)=op(e3,op(e2,e0)))|~op(op(e3,e2),e1)=op(e3,op(e2,e1)))|~op(op(e3,e2),e2)=op(e3,op(e2,e2)))|~op(op(e3,e2),e3)=op(e3,op(e2,e3)))|~op(op(e3,e3),e0)=op(e3,op(e3,e0)))|~op(op(e3,e3),e1)=op(e3,op(e3,e1)))|~op(op(e3,e3),e2)=op(e3,op(e3,e2)))|~op(op(e3,e3),e3)=op(e3,op(e3,e3)))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 0.27/0.64 fof(f69,plain,(
% 0.27/0.64 sP3_prd<=>(((((((((sP4_prd|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|~op(e0,inv(e0))=unit)|~op(inv(e0),e0)=unit)|~op(e1,inv(e1))=unit)|~op(inv(e1),e1)=unit)|~op(e2,inv(e2))=unit)|~op(inv(e2),e2)=unit)|~op(e3,inv(e3))=unit)|~op(inv(e3),e3)=unit)),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f59,f68])).
% 0.27/0.64 fof(f70,plain,(
% 0.27/0.64 (~sP3_prd|(((((((((sP4_prd|(((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3))|~op(e0,inv(e0))=unit)|~op(inv(e0),e0)=unit)|~op(e1,inv(e1))=unit)|~op(inv(e1),e1)=unit)|~op(e2,inv(e2))=unit)|~op(inv(e2),e2)=unit)|~op(e3,inv(e3))=unit)|~op(inv(e3),e3)=unit))&(sP3_prd|(((((((((~sP4_prd&(((unit=e0|unit=e1)|unit=e2)|unit=e3))&op(e0,inv(e0))=unit)&op(inv(e0),e0)=unit)&op(e1,inv(e1))=unit)&op(inv(e1),e1)=unit)&op(e2,inv(e2))=unit)&op(inv(e2),e2)=unit)&op(e3,inv(e3))=unit)&op(inv(e3),e3)=unit))),
% 0.27/0.64 inference(NNF_transformation,[status(thm)],[f69])).
% 0.27/0.64 fof(f71,plain,(
% 0.27/0.64 ~sP3_prd|sP4_prd|~unit=e0|~op(e0,inv(e0))=unit|~op(inv(e0),e0)=unit|~op(e1,inv(e1))=unit|~op(inv(e1),e1)=unit|~op(e2,inv(e2))=unit|~op(inv(e2),e2)=unit|~op(e3,inv(e3))=unit|~op(inv(e3),e3)=unit),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f70])).
% 0.27/0.64 fof(f85,definition,(
% 0.27/0.64 sP5_prd<=>(((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 0.27/0.64 fof(f86,plain,(
% 0.27/0.64 sP4_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((sP5_prd|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~op(op(e0,e0),e0)=op(e0,op(e0,e0)))|~op(op(e0,e0),e1)=op(e0,op(e0,e1)))|~op(op(e0,e0),e2)=op(e0,op(e0,e2)))|~op(op(e0,e0),e3)=op(e0,op(e0,e3)))|~op(op(e0,e1),e0)=op(e0,op(e1,e0)))|~op(op(e0,e1),e1)=op(e0,op(e1,e1)))|~op(op(e0,e1),e2)=op(e0,op(e1,e2)))|~op(op(e0,e1),e3)=op(e0,op(e1,e3)))|~op(op(e0,e2),e0)=op(e0,op(e2,e0)))|~op(op(e0,e2),e1)=op(e0,op(e2,e1)))|~op(op(e0,e2),e2)=op(e0,op(e2,e2)))|~op(op(e0,e2),e3)=op(e0,op(e2,e3)))|~op(op(e0,e3),e0)=op(e0,op(e3,e0)))|~op(op(e0,e3),e1)=op(e0,op(e3,e1)))|~op(op(e0,e3),e2)=op(e0,op(e3,e2)))|~op(op(e0,e3),e3)=op(e0,op(e3,e3)))|~op(op(e1,e0),e0)=op(e1,op(e0,e0)))|~op(op(e1,e0),e1)=op(e1,op(e0,e1)))|~op(op(e1,e0),e2)=op(e1,op(e0,e2)))|~op(op(e1,e0),e3)=op(e1,op(e0,e3)))|~op(op(e1,e1),e0)=op(e1,op(e1,e0)))|~op(op(e1,e1),e1)=op(e1,op(e1,e1)))|~op(op(e1,e1),e2)=op(e1,op(e1,e2)))|~op(op(e1,e1),e3)=op(e1,op(e1,e3)))|~op(op(e1,e2),e0)=op(e1,op(e2,e0)))|~op(op(e1,e2),e1)=op(e1,op(e2,e1)))|~op(op(e1,e2),e2)=op(e1,op(e2,e2)))|~op(op(e1,e2),e3)=op(e1,op(e2,e3)))|~op(op(e1,e3),e0)=op(e1,op(e3,e0)))|~op(op(e1,e3),e1)=op(e1,op(e3,e1)))|~op(op(e1,e3),e2)=op(e1,op(e3,e2)))|~op(op(e1,e3),e3)=op(e1,op(e3,e3)))|~op(op(e2,e0),e0)=op(e2,op(e0,e0)))|~op(op(e2,e0),e1)=op(e2,op(e0,e1)))|~op(op(e2,e0),e2)=op(e2,op(e0,e2)))|~op(op(e2,e0),e3)=op(e2,op(e0,e3)))|~op(op(e2,e1),e0)=op(e2,op(e1,e0)))|~op(op(e2,e1),e1)=op(e2,op(e1,e1)))|~op(op(e2,e1),e2)=op(e2,op(e1,e2)))|~op(op(e2,e1),e3)=op(e2,op(e1,e3)))|~op(op(e2,e2),e0)=op(e2,op(e2,e0)))|~op(op(e2,e2),e1)=op(e2,op(e2,e1)))|~op(op(e2,e2),e2)=op(e2,op(e2,e2)))|~op(op(e2,e2),e3)=op(e2,op(e2,e3)))|~op(op(e2,e3),e0)=op(e2,op(e3,e0)))|~op(op(e2,e3),e1)=op(e2,op(e3,e1)))|~op(op(e2,e3),e2)=op(e2,op(e3,e2)))|~op(op(e2,e3),e3)=op(e2,op(e3,e3)))|~op(op(e3,e0),e0)=op(e3,op(e0,e0)))|~op(op(e3,e0),e1)=op(e3,op(e0,e1)))|~op(op(e3,e0),e2)=op(e3,op(e0,e2)))|~op(op(e3,e0),e3)=op(e3,op(e0,e3)))|~op(op(e3,e1),e0)=op(e3,op(e1,e0)))|~op(op(e3,e1),e1)=op(e3,op(e1,e1)))|~op(op(e3,e1),e2)=op(e3,op(e1,e2)))|~op(op(e3,e1),e3)=op(e3,op(e1,e3)))|~op(op(e3,e2),e0)=op(e3,op(e2,e0)))|~op(op(e3,e2),e1)=op(e3,op(e2,e1)))|~op(op(e3,e2),e2)=op(e3,op(e2,e2)))|~op(op(e3,e2),e3)=op(e3,op(e2,e3)))|~op(op(e3,e3),e0)=op(e3,op(e3,e0)))|~op(op(e3,e3),e1)=op(e3,op(e3,e1)))|~op(op(e3,e3),e2)=op(e3,op(e3,e2)))|~op(op(e3,e3),e3)=op(e3,op(e3,e3)))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f68,f85])).
% 0.27/0.64 fof(f87,plain,(
% 0.27/0.64 (~sP4_prd|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((sP5_prd|(((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3))|~op(op(e0,e0),e0)=op(e0,op(e0,e0)))|~op(op(e0,e0),e1)=op(e0,op(e0,e1)))|~op(op(e0,e0),e2)=op(e0,op(e0,e2)))|~op(op(e0,e0),e3)=op(e0,op(e0,e3)))|~op(op(e0,e1),e0)=op(e0,op(e1,e0)))|~op(op(e0,e1),e1)=op(e0,op(e1,e1)))|~op(op(e0,e1),e2)=op(e0,op(e1,e2)))|~op(op(e0,e1),e3)=op(e0,op(e1,e3)))|~op(op(e0,e2),e0)=op(e0,op(e2,e0)))|~op(op(e0,e2),e1)=op(e0,op(e2,e1)))|~op(op(e0,e2),e2)=op(e0,op(e2,e2)))|~op(op(e0,e2),e3)=op(e0,op(e2,e3)))|~op(op(e0,e3),e0)=op(e0,op(e3,e0)))|~op(op(e0,e3),e1)=op(e0,op(e3,e1)))|~op(op(e0,e3),e2)=op(e0,op(e3,e2)))|~op(op(e0,e3),e3)=op(e0,op(e3,e3)))|~op(op(e1,e0),e0)=op(e1,op(e0,e0)))|~op(op(e1,e0),e1)=op(e1,op(e0,e1)))|~op(op(e1,e0),e2)=op(e1,op(e0,e2)))|~op(op(e1,e0),e3)=op(e1,op(e0,e3)))|~op(op(e1,e1),e0)=op(e1,op(e1,e0)))|~op(op(e1,e1),e1)=op(e1,op(e1,e1)))|~op(op(e1,e1),e2)=op(e1,op(e1,e2)))|~op(op(e1,e1),e3)=op(e1,op(e1,e3)))|~op(op(e1,e2),e0)=op(e1,op(e2,e0)))|~op(op(e1,e2),e1)=op(e1,op(e2,e1)))|~op(op(e1,e2),e2)=op(e1,op(e2,e2)))|~op(op(e1,e2),e3)=op(e1,op(e2,e3)))|~op(op(e1,e3),e0)=op(e1,op(e3,e0)))|~op(op(e1,e3),e1)=op(e1,op(e3,e1)))|~op(op(e1,e3),e2)=op(e1,op(e3,e2)))|~op(op(e1,e3),e3)=op(e1,op(e3,e3)))|~op(op(e2,e0),e0)=op(e2,op(e0,e0)))|~op(op(e2,e0),e1)=op(e2,op(e0,e1)))|~op(op(e2,e0),e2)=op(e2,op(e0,e2)))|~op(op(e2,e0),e3)=op(e2,op(e0,e3)))|~op(op(e2,e1),e0)=op(e2,op(e1,e0)))|~op(op(e2,e1),e1)=op(e2,op(e1,e1)))|~op(op(e2,e1),e2)=op(e2,op(e1,e2)))|~op(op(e2,e1),e3)=op(e2,op(e1,e3)))|~op(op(e2,e2),e0)=op(e2,op(e2,e0)))|~op(op(e2,e2),e1)=op(e2,op(e2,e1)))|~op(op(e2,e2),e2)=op(e2,op(e2,e2)))|~op(op(e2,e2),e3)=op(e2,op(e2,e3)))|~op(op(e2,e3),e0)=op(e2,op(e3,e0)))|~op(op(e2,e3),e1)=op(e2,op(e3,e1)))|~op(op(e2,e3),e2)=op(e2,op(e3,e2)))|~op(op(e2,e3),e3)=op(e2,op(e3,e3)))|~op(op(e3,e0),e0)=op(e3,op(e0,e0)))|~op(op(e3,e0),e1)=op(e3,op(e0,e1)))|~op(op(e3,e0),e2)=op(e3,op(e0,e2)))|~op(op(e3,e0),e3)=op(e3,op(e0,e3)))|~op(op(e3,e1),e0)=op(e3,op(e1,e0)))|~op(op(e3,e1),e1)=op(e3,op(e1,e1)))|~op(op(e3,e1),e2)=op(e3,op(e1,e2)))|~op(op(e3,e1),e3)=op(e3,op(e1,e3)))|~op(op(e3,e2),e0)=op(e3,op(e2,e0)))|~op(op(e3,e2),e1)=op(e3,op(e2,e1)))|~op(op(e3,e2),e2)=op(e3,op(e2,e2)))|~op(op(e3,e2),e3)=op(e3,op(e2,e3)))|~op(op(e3,e3),e0)=op(e3,op(e3,e0)))|~op(op(e3,e3),e1)=op(e3,op(e3,e1)))|~op(op(e3,e3),e2)=op(e3,op(e3,e2)))|~op(op(e3,e3),e3)=op(e3,op(e3,e3)))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3))&(sP4_prd|(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~sP5_prd&(((op(e3,e3)=e0|op(e3,e3)=e1)|op(e3,e3)=e2)|op(e3,e3)=e3))&op(op(e0,e0),e0)=op(e0,op(e0,e0)))&op(op(e0,e0),e1)=op(e0,op(e0,e1)))&op(op(e0,e0),e2)=op(e0,op(e0,e2)))&op(op(e0,e0),e3)=op(e0,op(e0,e3)))&op(op(e0,e1),e0)=op(e0,op(e1,e0)))&op(op(e0,e1),e1)=op(e0,op(e1,e1)))&op(op(e0,e1),e2)=op(e0,op(e1,e2)))&op(op(e0,e1),e3)=op(e0,op(e1,e3)))&op(op(e0,e2),e0)=op(e0,op(e2,e0)))&op(op(e0,e2),e1)=op(e0,op(e2,e1)))&op(op(e0,e2),e2)=op(e0,op(e2,e2)))&op(op(e0,e2),e3)=op(e0,op(e2,e3)))&op(op(e0,e3),e0)=op(e0,op(e3,e0)))&op(op(e0,e3),e1)=op(e0,op(e3,e1)))&op(op(e0,e3),e2)=op(e0,op(e3,e2)))&op(op(e0,e3),e3)=op(e0,op(e3,e3)))&op(op(e1,e0),e0)=op(e1,op(e0,e0)))&op(op(e1,e0),e1)=op(e1,op(e0,e1)))&op(op(e1,e0),e2)=op(e1,op(e0,e2)))&op(op(e1,e0),e3)=op(e1,op(e0,e3)))&op(op(e1,e1),e0)=op(e1,op(e1,e0)))&op(op(e1,e1),e1)=op(e1,op(e1,e1)))&op(op(e1,e1),e2)=op(e1,op(e1,e2)))&op(op(e1,e1),e3)=op(e1,op(e1,e3)))&op(op(e1,e2),e0)=op(e1,op(e2,e0)))&op(op(e1,e2),e1)=op(e1,op(e2,e1)))&op(op(e1,e2),e2)=op(e1,op(e2,e2)))&op(op(e1,e2),e3)=op(e1,op(e2,e3)))&op(op(e1,e3),e0)=op(e1,op(e3,e0)))&op(op(e1,e3),e1)=op(e1,op(e3,e1)))&op(op(e1,e3),e2)=op(e1,op(e3,e2)))&op(op(e1,e3),e3)=op(e1,op(e3,e3)))&op(op(e2,e0),e0)=op(e2,op(e0,e0)))&op(op(e2,e0),e1)=op(e2,op(e0,e1)))&op(op(e2,e0),e2)=op(e2,op(e0,e2)))&op(op(e2,e0),e3)=op(e2,op(e0,e3)))&op(op(e2,e1),e0)=op(e2,op(e1,e0)))&op(op(e2,e1),e1)=op(e2,op(e1,e1)))&op(op(e2,e1),e2)=op(e2,op(e1,e2)))&op(op(e2,e1),e3)=op(e2,op(e1,e3)))&op(op(e2,e2),e0)=op(e2,op(e2,e0)))&op(op(e2,e2),e1)=op(e2,op(e2,e1)))&op(op(e2,e2),e2)=op(e2,op(e2,e2)))&op(op(e2,e2),e3)=op(e2,op(e2,e3)))&op(op(e2,e3),e0)=op(e2,op(e3,e0)))&op(op(e2,e3),e1)=op(e2,op(e3,e1)))&op(op(e2,e3),e2)=op(e2,op(e3,e2)))&op(op(e2,e3),e3)=op(e2,op(e3,e3)))&op(op(e3,e0),e0)=op(e3,op(e0,e0)))&op(op(e3,e0),e1)=op(e3,op(e0,e1)))&op(op(e3,e0),e2)=op(e3,op(e0,e2)))&op(op(e3,e0),e3)=op(e3,op(e0,e3)))&op(op(e3,e1),e0)=op(e3,op(e1,e0)))&op(op(e3,e1),e1)=op(e3,op(e1,e1)))&op(op(e3,e1),e2)=op(e3,op(e1,e2)))&op(op(e3,e1),e3)=op(e3,op(e1,e3)))&op(op(e3,e2),e0)=op(e3,op(e2,e0)))&op(op(e3,e2),e1)=op(e3,op(e2,e1)))&op(op(e3,e2),e2)=op(e3,op(e2,e2)))&op(op(e3,e2),e3)=op(e3,op(e2,e3)))&op(op(e3,e3),e0)=op(e3,op(e3,e0)))&op(op(e3,e3),e1)=op(e3,op(e3,e1)))&op(op(e3,e3),e2)=op(e3,op(e3,e2)))&op(op(e3,e3),e3)=op(e3,op(e3,e3)))&op(unit,e0)=e0)&op(e0,unit)=e0)&op(unit,e1)=e1)&op(e1,unit)=e1)&op(unit,e2)=e2)&op(e2,unit)=e2)&op(unit,e3)=e3)&op(e3,unit)=e3))),
% 0.27/0.64 inference(NNF_transformation,[status(thm)],[f86])).
% 0.27/0.64 fof(f88,plain,(
% 0.27/0.64 ~sP4_prd|sP5_prd|~op(e3,e3)=e0|~op(op(e0,e0),e0)=op(e0,op(e0,e0))|~op(op(e0,e0),e1)=op(e0,op(e0,e1))|~op(op(e0,e0),e2)=op(e0,op(e0,e2))|~op(op(e0,e0),e3)=op(e0,op(e0,e3))|~op(op(e0,e1),e0)=op(e0,op(e1,e0))|~op(op(e0,e1),e1)=op(e0,op(e1,e1))|~op(op(e0,e1),e2)=op(e0,op(e1,e2))|~op(op(e0,e1),e3)=op(e0,op(e1,e3))|~op(op(e0,e2),e0)=op(e0,op(e2,e0))|~op(op(e0,e2),e1)=op(e0,op(e2,e1))|~op(op(e0,e2),e2)=op(e0,op(e2,e2))|~op(op(e0,e2),e3)=op(e0,op(e2,e3))|~op(op(e0,e3),e0)=op(e0,op(e3,e0))|~op(op(e0,e3),e1)=op(e0,op(e3,e1))|~op(op(e0,e3),e2)=op(e0,op(e3,e2))|~op(op(e0,e3),e3)=op(e0,op(e3,e3))|~op(op(e1,e0),e0)=op(e1,op(e0,e0))|~op(op(e1,e0),e1)=op(e1,op(e0,e1))|~op(op(e1,e0),e2)=op(e1,op(e0,e2))|~op(op(e1,e0),e3)=op(e1,op(e0,e3))|~op(op(e1,e1),e0)=op(e1,op(e1,e0))|~op(op(e1,e1),e1)=op(e1,op(e1,e1))|~op(op(e1,e1),e2)=op(e1,op(e1,e2))|~op(op(e1,e1),e3)=op(e1,op(e1,e3))|~op(op(e1,e2),e0)=op(e1,op(e2,e0))|~op(op(e1,e2),e1)=op(e1,op(e2,e1))|~op(op(e1,e2),e2)=op(e1,op(e2,e2))|~op(op(e1,e2),e3)=op(e1,op(e2,e3))|~op(op(e1,e3),e0)=op(e1,op(e3,e0))|~op(op(e1,e3),e1)=op(e1,op(e3,e1))|~op(op(e1,e3),e2)=op(e1,op(e3,e2))|~op(op(e1,e3),e3)=op(e1,op(e3,e3))|~op(op(e2,e0),e0)=op(e2,op(e0,e0))|~op(op(e2,e0),e1)=op(e2,op(e0,e1))|~op(op(e2,e0),e2)=op(e2,op(e0,e2))|~op(op(e2,e0),e3)=op(e2,op(e0,e3))|~op(op(e2,e1),e0)=op(e2,op(e1,e0))|~op(op(e2,e1),e1)=op(e2,op(e1,e1))|~op(op(e2,e1),e2)=op(e2,op(e1,e2))|~op(op(e2,e1),e3)=op(e2,op(e1,e3))|~op(op(e2,e2),e0)=op(e2,op(e2,e0))|~op(op(e2,e2),e1)=op(e2,op(e2,e1))|~op(op(e2,e2),e2)=op(e2,op(e2,e2))|~op(op(e2,e2),e3)=op(e2,op(e2,e3))|~op(op(e2,e3),e0)=op(e2,op(e3,e0))|~op(op(e2,e3),e1)=op(e2,op(e3,e1))|~op(op(e2,e3),e2)=op(e2,op(e3,e2))|~op(op(e2,e3),e3)=op(e2,op(e3,e3))|~op(op(e3,e0),e0)=op(e3,op(e0,e0))|~op(op(e3,e0),e1)=op(e3,op(e0,e1))|~op(op(e3,e0),e2)=op(e3,op(e0,e2))|~op(op(e3,e0),e3)=op(e3,op(e0,e3))|~op(op(e3,e1),e0)=op(e3,op(e1,e0))|~op(op(e3,e1),e1)=op(e3,op(e1,e1))|~op(op(e3,e1),e2)=op(e3,op(e1,e2))|~op(op(e3,e1),e3)=op(e3,op(e1,e3))|~op(op(e3,e2),e0)=op(e3,op(e2,e0))|~op(op(e3,e2),e1)=op(e3,op(e2,e1))|~op(op(e3,e2),e2)=op(e3,op(e2,e2))|~op(op(e3,e2),e3)=op(e3,op(e2,e3))|~op(op(e3,e3),e0)=op(e3,op(e3,e0))|~op(op(e3,e3),e1)=op(e3,op(e3,e1))|~op(op(e3,e3),e2)=op(e3,op(e3,e2))|~op(op(e3,e3),e3)=op(e3,op(e3,e3))|~op(unit,e0)=e0|~op(e0,unit)=e0|~op(unit,e1)=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f87])).
% 0.27/0.64 fof(f166,definition,(
% 0.27/0.64 sP6_prd<=>((((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP6_prd])],[])).
% 0.27/0.64 fof(f167,plain,(
% 0.27/0.64 sP5_prd<=>(sP6_prd|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3))),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f85,f166])).
% 0.27/0.64 fof(f168,plain,(
% 0.27/0.64 (~sP5_prd|(sP6_prd|(((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)))&(sP5_prd|(~sP6_prd&(((op(e3,e2)=e0|op(e3,e2)=e1)|op(e3,e2)=e2)|op(e3,e2)=e3)))),
% 0.27/0.64 inference(NNF_transformation,[status(thm)],[f167])).
% 0.27/0.64 fof(f170,plain,(
% 0.27/0.64 ~sP5_prd|sP6_prd|~op(e3,e2)=e1),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f168])).
% 0.27/0.64 fof(f175,definition,(
% 0.27/0.64 sP7_prd<=>(((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 0.27/0.64 fof(f176,plain,(
% 0.27/0.64 sP6_prd<=>(sP7_prd|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3))),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f166,f175])).
% 0.27/0.64 fof(f177,plain,(
% 0.27/0.64 (~sP6_prd|(sP7_prd|(((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)))&(sP6_prd|(~sP7_prd&(((op(e3,e1)=e0|op(e3,e1)=e1)|op(e3,e1)=e2)|op(e3,e1)=e3)))),
% 0.27/0.64 inference(NNF_transformation,[status(thm)],[f176])).
% 0.27/0.64 fof(f180,plain,(
% 0.27/0.64 ~sP6_prd|sP7_prd|~op(e3,e1)=e2),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f177])).
% 0.27/0.64 fof(f184,definition,(
% 0.27/0.64 sP8_prd<=>((((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP8_prd])],[])).
% 0.27/0.64 fof(f185,plain,(
% 0.27/0.64 sP7_prd<=>(sP8_prd|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3))),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f175,f184])).
% 0.27/0.64 fof(f186,plain,(
% 0.27/0.64 (~sP7_prd|(sP8_prd|(((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)))&(sP7_prd|(~sP8_prd&(((op(e3,e0)=e0|op(e3,e0)=e1)|op(e3,e0)=e2)|op(e3,e0)=e3)))),
% 0.27/0.64 inference(NNF_transformation,[status(thm)],[f185])).
% 0.27/0.64 fof(f190,plain,(
% 0.27/0.64 ~sP7_prd|sP8_prd|~op(e3,e0)=e3),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f186])).
% 0.27/0.64 fof(f193,definition,(
% 0.27/0.64 sP9_prd<=>(((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 0.27/0.64 fof(f194,plain,(
% 0.27/0.64 sP8_prd<=>(sP9_prd|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3))),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f184,f193])).
% 0.27/0.64 fof(f195,plain,(
% 0.27/0.64 (~sP8_prd|(sP9_prd|(((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)))&(sP8_prd|(~sP9_prd&(((op(e2,e3)=e0|op(e2,e3)=e1)|op(e2,e3)=e2)|op(e2,e3)=e3)))),
% 0.27/0.64 inference(NNF_transformation,[status(thm)],[f194])).
% 0.27/0.64 fof(f197,plain,(
% 0.27/0.64 ~sP8_prd|sP9_prd|~op(e2,e3)=e1),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f195])).
% 0.27/0.64 fof(f202,definition,(
% 0.27/0.64 sP10_prd<=>((((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP10_prd])],[])).
% 0.27/0.64 fof(f203,plain,(
% 0.27/0.64 sP9_prd<=>(sP10_prd|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3))),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f193,f202])).
% 0.27/0.64 fof(f204,plain,(
% 0.27/0.64 (~sP9_prd|(sP10_prd|(((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)))&(sP9_prd|(~sP10_prd&(((op(e2,e2)=e0|op(e2,e2)=e1)|op(e2,e2)=e2)|op(e2,e2)=e3)))),
% 0.27/0.64 inference(NNF_transformation,[status(thm)],[f203])).
% 0.27/0.64 fof(f208,plain,(
% 0.27/0.64 ~sP9_prd|sP10_prd|~op(e2,e2)=e3),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f204])).
% 0.27/0.64 fof(f211,definition,(
% 0.27/0.64 sP11_prd<=>(((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP11_prd])],[])).
% 0.27/0.64 fof(f212,plain,(
% 0.27/0.64 sP10_prd<=>(sP11_prd|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3))),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f202,f211])).
% 0.27/0.64 fof(f213,plain,(
% 0.27/0.64 (~sP10_prd|(sP11_prd|(((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)))&(sP10_prd|(~sP11_prd&(((op(e2,e1)=e0|op(e2,e1)=e1)|op(e2,e1)=e2)|op(e2,e1)=e3)))),
% 0.27/0.64 inference(NNF_transformation,[status(thm)],[f212])).
% 0.27/0.64 fof(f214,plain,(
% 0.27/0.64 ~sP10_prd|sP11_prd|~op(e2,e1)=e0),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f213])).
% 0.27/0.64 fof(f220,definition,(
% 0.27/0.64 sP12_prd<=>((((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP12_prd])],[])).
% 0.27/0.64 fof(f221,plain,(
% 0.27/0.64 sP11_prd<=>(sP12_prd|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3))),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f211,f220])).
% 0.27/0.64 fof(f222,plain,(
% 0.27/0.64 (~sP11_prd|(sP12_prd|(((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)))&(sP11_prd|(~sP12_prd&(((op(e2,e0)=e0|op(e2,e0)=e1)|op(e2,e0)=e2)|op(e2,e0)=e3)))),
% 0.27/0.64 inference(NNF_transformation,[status(thm)],[f221])).
% 0.27/0.64 fof(f225,plain,(
% 0.27/0.64 ~sP11_prd|sP12_prd|~op(e2,e0)=e2),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f222])).
% 0.27/0.64 fof(f229,definition,(
% 0.27/0.64 sP13_prd<=>(((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP13_prd])],[])).
% 0.27/0.64 fof(f230,plain,(
% 0.27/0.64 sP12_prd<=>(sP13_prd|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3))),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f220,f229])).
% 0.27/0.64 fof(f231,plain,(
% 0.27/0.64 (~sP12_prd|(sP13_prd|(((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)))&(sP12_prd|(~sP13_prd&(((op(e1,e3)=e0|op(e1,e3)=e1)|op(e1,e3)=e2)|op(e1,e3)=e3)))),
% 0.27/0.64 inference(NNF_transformation,[status(thm)],[f230])).
% 0.27/0.64 fof(f234,plain,(
% 0.27/0.64 ~sP12_prd|sP13_prd|~op(e1,e3)=e2),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f231])).
% 0.27/0.64 fof(f238,definition,(
% 0.27/0.64 sP14_prd<=>((((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP14_prd])],[])).
% 0.27/0.64 fof(f239,plain,(
% 0.27/0.64 sP13_prd<=>(sP14_prd|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3))),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f229,f238])).
% 0.27/0.64 fof(f240,plain,(
% 0.27/0.64 (~sP13_prd|(sP14_prd|(((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)))&(sP13_prd|(~sP14_prd&(((op(e1,e2)=e0|op(e1,e2)=e1)|op(e1,e2)=e2)|op(e1,e2)=e3)))),
% 0.27/0.64 inference(NNF_transformation,[status(thm)],[f239])).
% 0.27/0.64 fof(f241,plain,(
% 0.27/0.64 ~sP13_prd|sP14_prd|~op(e1,e2)=e0),
% 0.27/0.64 inference(cnf_transformation,[status(thm)],[f240])).
% 0.27/0.64 fof(f247,definition,(
% 0.27/0.64 sP15_prd<=>(((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))),
% 0.27/0.64 introduced(definition,[new_symbols(definition,[sP15_prd])],[])).
% 0.27/0.64 fof(f248,plain,(
% 0.27/0.64 sP14_prd<=>(sP15_prd|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3))),
% 0.27/0.64 inference(formula_renaming,[status(thm)],[f238,f247])).
% 0.27/0.64 fof(f249,plain,(
% 0.27/0.64 (~sP14_prd|(sP15_prd|(((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)))&(sP14_prd|(~sP15_prd&(((op(e1,e1)=e0|op(e1,e1)=e1)|op(e1,e1)=e2)|op(e1,e1)=e3)))),
% 0.54/0.64 inference(NNF_transformation,[status(thm)],[f248])).
% 0.54/0.64 fof(f253,plain,(
% 0.54/0.64 ~sP14_prd|sP15_prd|~op(e1,e1)=e3),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f249])).
% 0.54/0.64 fof(f256,definition,(
% 0.54/0.64 sP16_prd<=>((((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sP16_prd])],[])).
% 0.54/0.64 fof(f257,plain,(
% 0.54/0.64 sP15_prd<=>(sP16_prd|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3))),
% 0.54/0.64 inference(formula_renaming,[status(thm)],[f247,f256])).
% 0.54/0.64 fof(f258,plain,(
% 0.54/0.64 (~sP15_prd|(sP16_prd|(((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)))&(sP15_prd|(~sP16_prd&(((op(e1,e0)=e0|op(e1,e0)=e1)|op(e1,e0)=e2)|op(e1,e0)=e3)))),
% 0.54/0.64 inference(NNF_transformation,[status(thm)],[f257])).
% 0.54/0.64 fof(f260,plain,(
% 0.54/0.64 ~sP15_prd|sP16_prd|~op(e1,e0)=e1),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f258])).
% 0.54/0.64 fof(f265,definition,(
% 0.54/0.64 sP17_prd<=>(((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sP17_prd])],[])).
% 0.54/0.64 fof(f266,plain,(
% 0.54/0.64 sP16_prd<=>(sP17_prd|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3))),
% 0.54/0.64 inference(formula_renaming,[status(thm)],[f256,f265])).
% 0.54/0.64 fof(f267,plain,(
% 0.54/0.64 (~sP16_prd|(sP17_prd|(((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)))&(sP16_prd|(~sP17_prd&(((op(e0,e3)=e0|op(e0,e3)=e1)|op(e0,e3)=e2)|op(e0,e3)=e3)))),
% 0.54/0.64 inference(NNF_transformation,[status(thm)],[f266])).
% 0.54/0.64 fof(f271,plain,(
% 0.54/0.64 ~sP16_prd|sP17_prd|~op(e0,e3)=e3),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f267])).
% 0.54/0.64 fof(f274,definition,(
% 0.54/0.64 sP18_prd<=>((((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sP18_prd])],[])).
% 0.54/0.64 fof(f275,plain,(
% 0.54/0.64 sP17_prd<=>(sP18_prd|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3))),
% 0.54/0.64 inference(formula_renaming,[status(thm)],[f265,f274])).
% 0.54/0.64 fof(f276,plain,(
% 0.54/0.64 (~sP17_prd|(sP18_prd|(((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)))&(sP17_prd|(~sP18_prd&(((op(e0,e2)=e0|op(e0,e2)=e1)|op(e0,e2)=e2)|op(e0,e2)=e3)))),
% 0.54/0.64 inference(NNF_transformation,[status(thm)],[f275])).
% 0.54/0.64 fof(f279,plain,(
% 0.54/0.64 ~sP17_prd|sP18_prd|~op(e0,e2)=e2),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f276])).
% 0.54/0.64 fof(f283,definition,(
% 0.54/0.64 sP19_prd<=>(((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sP19_prd])],[])).
% 0.54/0.64 fof(f284,plain,(
% 0.54/0.64 sP18_prd<=>(sP19_prd|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3))),
% 0.54/0.64 inference(formula_renaming,[status(thm)],[f274,f283])).
% 0.54/0.64 fof(f285,plain,(
% 0.54/0.64 (~sP18_prd|(sP19_prd|(((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)))&(sP18_prd|(~sP19_prd&(((op(e0,e1)=e0|op(e0,e1)=e1)|op(e0,e1)=e2)|op(e0,e1)=e3)))),
% 0.54/0.64 inference(NNF_transformation,[status(thm)],[f284])).
% 0.54/0.64 fof(f287,plain,(
% 0.54/0.64 ~sP18_prd|sP19_prd|~op(e0,e1)=e1),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f285])).
% 0.54/0.64 fof(f292,definition,(
% 0.54/0.64 sP20_prd<=>((((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sP20_prd])],[])).
% 0.54/0.64 fof(f293,plain,(
% 0.54/0.64 sP19_prd<=>(sP20_prd|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3))),
% 0.54/0.64 inference(formula_renaming,[status(thm)],[f283,f292])).
% 0.54/0.64 fof(f294,plain,(
% 0.54/0.64 (~sP19_prd|(sP20_prd|(((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)))&(sP19_prd|(~sP20_prd&(((op(e0,e0)=e0|op(e0,e0)=e1)|op(e0,e0)=e2)|op(e0,e0)=e3)))),
% 0.54/0.64 inference(NNF_transformation,[status(thm)],[f293])).
% 0.54/0.64 fof(f295,plain,(
% 0.54/0.64 ~sP19_prd|sP20_prd|~op(e0,e0)=e0),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f294])).
% 0.54/0.64 fof(f301,definition,(
% 0.54/0.64 sP21_prd<=>(((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sP21_prd])],[])).
% 0.54/0.64 fof(f302,plain,(
% 0.54/0.64 sP20_prd<=>(sP21_prd|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3))),
% 0.54/0.64 inference(formula_renaming,[status(thm)],[f292,f301])).
% 0.54/0.64 fof(f303,plain,(
% 0.54/0.64 (~sP20_prd|(sP21_prd|(((op(e0,e0)=e3&op(e1,e1)=e3)&op(e2,e2)=e3)&op(e3,e3)=e3)))&(sP20_prd|(~sP21_prd&(((~op(e0,e0)=e3|~op(e1,e1)=e3)|~op(e2,e2)=e3)|~op(e3,e3)=e3)))),
% 0.54/0.64 inference(NNF_transformation,[status(thm)],[f302])).
% 0.54/0.64 fof(f304,plain,(
% 0.54/0.64 ~sP20_prd|sP21_prd|op(e0,e0)=e3),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f303])).
% 0.54/0.64 fof(f310,definition,(
% 0.54/0.64 sP22_prd<=>((((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sP22_prd])],[])).
% 0.54/0.64 fof(f311,plain,(
% 0.54/0.64 sP21_prd<=>(sP22_prd|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2))),
% 0.54/0.64 inference(formula_renaming,[status(thm)],[f301,f310])).
% 0.54/0.64 fof(f312,plain,(
% 0.54/0.64 (~sP21_prd|(sP22_prd|(((op(e0,e0)=e2&op(e1,e1)=e2)&op(e2,e2)=e2)&op(e3,e3)=e2)))&(sP21_prd|(~sP22_prd&(((~op(e0,e0)=e2|~op(e1,e1)=e2)|~op(e2,e2)=e2)|~op(e3,e3)=e2)))),
% 0.54/0.64 inference(NNF_transformation,[status(thm)],[f311])).
% 0.54/0.64 fof(f313,plain,(
% 0.54/0.64 ~sP21_prd|sP22_prd|op(e0,e0)=e2),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f312])).
% 0.54/0.64 fof(f319,definition,(
% 0.54/0.64 sP23_prd<=>(((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sP23_prd])],[])).
% 0.54/0.64 fof(f320,plain,(
% 0.54/0.64 sP22_prd<=>(sP23_prd|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1))),
% 0.54/0.64 inference(formula_renaming,[status(thm)],[f310,f319])).
% 0.54/0.64 fof(f321,plain,(
% 0.54/0.64 (~sP22_prd|(sP23_prd|(((op(e0,e0)=e1&op(e1,e1)=e1)&op(e2,e2)=e1)&op(e3,e3)=e1)))&(sP22_prd|(~sP23_prd&(((~op(e0,e0)=e1|~op(e1,e1)=e1)|~op(e2,e2)=e1)|~op(e3,e3)=e1)))),
% 0.54/0.64 inference(NNF_transformation,[status(thm)],[f320])).
% 0.54/0.64 fof(f322,plain,(
% 0.54/0.64 ~sP22_prd|sP23_prd|op(e0,e0)=e1),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f321])).
% 0.54/0.64 fof(f328,plain,(
% 0.54/0.64 (~sP23_prd|(((op(e0,e0)=e0&op(e1,e1)=e0)&op(e2,e2)=e0)&op(e3,e3)=e0))&(sP23_prd|(((~op(e0,e0)=e0|~op(e1,e1)=e0)|~op(e2,e2)=e0)|~op(e3,e3)=e0))),
% 0.54/0.64 inference(NNF_transformation,[status(thm)],[f319])).
% 0.54/0.64 fof(f331,plain,(
% 0.54/0.64 ~sP23_prd|op(e2,e2)=e0),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f328])).
% 0.54/0.64 fof(f334,definition,(
% 0.54/0.64 sQ0_spl <=> (sP0_prd)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f349,definition,(
% 0.54/0.64 sQ4_spl <=> (inv(e3)=e3)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f351,plain,(
% 0.54/0.64 ~inv(e3)=e3|sQ4_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f349])).
% 0.54/0.64 fof(f352,plain,(
% 0.54/0.64 sQ0_spl|~sQ4_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f40,f334,f349])).
% 0.54/0.64 fof(f353,definition,(
% 0.54/0.64 sQ5_spl <=> (sP1_prd)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f360,definition,(
% 0.54/0.64 sQ7_spl <=> (inv(e2)=e1)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f362,plain,(
% 0.54/0.64 ~inv(e2)=e1|sQ7_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f360])).
% 0.54/0.64 fof(f363,plain,(
% 0.54/0.64 ~sQ0_spl|sQ5_spl|~sQ7_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f45,f334,f353,f360])).
% 0.54/0.64 fof(f374,definition,(
% 0.54/0.64 sQ10_spl <=> (sP2_prd)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f385,definition,(
% 0.54/0.64 sQ13_spl <=> (inv(e1)=e2)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f387,plain,(
% 0.54/0.64 ~inv(e1)=e2|sQ13_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f385])).
% 0.54/0.64 fof(f388,plain,(
% 0.54/0.64 ~sQ5_spl|sQ10_spl|~sQ13_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f55,f353,f374,f385])).
% 0.54/0.64 fof(f395,definition,(
% 0.54/0.64 sQ15_spl <=> (sP3_prd)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f398,definition,(
% 0.54/0.64 sQ16_spl <=> (inv(e0)=e0)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f400,plain,(
% 0.54/0.64 ~inv(e0)=e0|sQ16_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f398])).
% 0.54/0.64 fof(f401,plain,(
% 0.54/0.64 ~sQ10_spl|sQ15_spl|~sQ16_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f62,f374,f395,f398])).
% 0.54/0.64 fof(f416,definition,(
% 0.54/0.64 sQ20_spl <=> (sP4_prd)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f419,definition,(
% 0.54/0.64 sQ21_spl <=> (unit=e0)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f421,plain,(
% 0.54/0.64 ~unit=e0|sQ21_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f419])).
% 0.54/0.64 fof(f422,definition,(
% 0.54/0.64 sQ22_spl <=> (op(e0,inv(e0))=unit)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f424,plain,(
% 0.54/0.64 ~op(e0,inv(e0))=unit|sQ22_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f422])).
% 0.54/0.64 fof(f425,definition,(
% 0.54/0.64 sQ23_spl <=> (op(inv(e0),e0)=unit)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f427,plain,(
% 0.54/0.64 ~op(inv(e0),e0)=unit|sQ23_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f425])).
% 0.54/0.64 fof(f428,definition,(
% 0.54/0.64 sQ24_spl <=> (op(e1,inv(e1))=unit)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f430,plain,(
% 0.54/0.64 ~op(e1,inv(e1))=unit|sQ24_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f428])).
% 0.54/0.64 fof(f431,definition,(
% 0.54/0.64 sQ25_spl <=> (op(inv(e1),e1)=unit)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f433,plain,(
% 0.54/0.64 ~op(inv(e1),e1)=unit|sQ25_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f431])).
% 0.54/0.64 fof(f434,definition,(
% 0.54/0.64 sQ26_spl <=> (op(e2,inv(e2))=unit)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f436,plain,(
% 0.54/0.64 ~op(e2,inv(e2))=unit|sQ26_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f434])).
% 0.54/0.64 fof(f437,definition,(
% 0.54/0.64 sQ27_spl <=> (op(inv(e2),e2)=unit)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f439,plain,(
% 0.54/0.64 ~op(inv(e2),e2)=unit|sQ27_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f437])).
% 0.54/0.64 fof(f440,definition,(
% 0.54/0.64 sQ28_spl <=> (op(e3,inv(e3))=unit)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f442,plain,(
% 0.54/0.64 ~op(e3,inv(e3))=unit|sQ28_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f440])).
% 0.54/0.64 fof(f443,definition,(
% 0.54/0.64 sQ29_spl <=> (op(inv(e3),e3)=unit)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f445,plain,(
% 0.54/0.64 ~op(inv(e3),e3)=unit|sQ29_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f443])).
% 0.54/0.64 fof(f446,plain,(
% 0.54/0.64 ~sQ15_spl|sQ20_spl|~sQ21_spl|~sQ22_spl|~sQ23_spl|~sQ24_spl|~sQ25_spl|~sQ26_spl|~sQ27_spl|~sQ28_spl|~sQ29_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f71,f395,f416,f419,f422,f425,f428,f431,f434,f437,f440,f443])).
% 0.54/0.64 fof(f469,definition,(
% 0.54/0.64 sQ33_spl <=> (sP5_prd)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f472,definition,(
% 0.54/0.64 sQ34_spl <=> (op(e3,e3)=e0)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f474,plain,(
% 0.54/0.64 ~op(e3,e3)=e0|sQ34_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f472])).
% 0.54/0.64 fof(f475,definition,(
% 0.54/0.64 sQ35_spl <=> (op(op(e0,e0),e0)=op(e0,op(e0,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f477,plain,(
% 0.54/0.64 ~op(op(e0,e0),e0)=op(e0,op(e0,e0))|sQ35_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f475])).
% 0.54/0.64 fof(f478,definition,(
% 0.54/0.64 sQ36_spl <=> (op(op(e0,e0),e1)=op(e0,op(e0,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f480,plain,(
% 0.54/0.64 ~op(op(e0,e0),e1)=op(e0,op(e0,e1))|sQ36_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f478])).
% 0.54/0.64 fof(f481,definition,(
% 0.54/0.64 sQ37_spl <=> (op(op(e0,e0),e2)=op(e0,op(e0,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f483,plain,(
% 0.54/0.64 ~op(op(e0,e0),e2)=op(e0,op(e0,e2))|sQ37_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f481])).
% 0.54/0.64 fof(f484,definition,(
% 0.54/0.64 sQ38_spl <=> (op(op(e0,e0),e3)=op(e0,op(e0,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f486,plain,(
% 0.54/0.64 ~op(op(e0,e0),e3)=op(e0,op(e0,e3))|sQ38_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f484])).
% 0.54/0.64 fof(f487,definition,(
% 0.54/0.64 sQ39_spl <=> (op(op(e0,e1),e0)=op(e0,op(e1,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f489,plain,(
% 0.54/0.64 ~op(op(e0,e1),e0)=op(e0,op(e1,e0))|sQ39_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f487])).
% 0.54/0.64 fof(f490,definition,(
% 0.54/0.64 sQ40_spl <=> (op(op(e0,e1),e1)=op(e0,op(e1,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f492,plain,(
% 0.54/0.64 ~op(op(e0,e1),e1)=op(e0,op(e1,e1))|sQ40_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f490])).
% 0.54/0.64 fof(f493,definition,(
% 0.54/0.64 sQ41_spl <=> (op(op(e0,e1),e2)=op(e0,op(e1,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f495,plain,(
% 0.54/0.64 ~op(op(e0,e1),e2)=op(e0,op(e1,e2))|sQ41_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f493])).
% 0.54/0.64 fof(f496,definition,(
% 0.54/0.64 sQ42_spl <=> (op(op(e0,e1),e3)=op(e0,op(e1,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f498,plain,(
% 0.54/0.64 ~op(op(e0,e1),e3)=op(e0,op(e1,e3))|sQ42_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f496])).
% 0.54/0.64 fof(f499,definition,(
% 0.54/0.64 sQ43_spl <=> (op(op(e0,e2),e0)=op(e0,op(e2,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f501,plain,(
% 0.54/0.64 ~op(op(e0,e2),e0)=op(e0,op(e2,e0))|sQ43_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f499])).
% 0.54/0.64 fof(f502,definition,(
% 0.54/0.64 sQ44_spl <=> (op(op(e0,e2),e1)=op(e0,op(e2,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f504,plain,(
% 0.54/0.64 ~op(op(e0,e2),e1)=op(e0,op(e2,e1))|sQ44_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f502])).
% 0.54/0.64 fof(f505,definition,(
% 0.54/0.64 sQ45_spl <=> (op(op(e0,e2),e2)=op(e0,op(e2,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f507,plain,(
% 0.54/0.64 ~op(op(e0,e2),e2)=op(e0,op(e2,e2))|sQ45_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f505])).
% 0.54/0.64 fof(f508,definition,(
% 0.54/0.64 sQ46_spl <=> (op(op(e0,e2),e3)=op(e0,op(e2,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f510,plain,(
% 0.54/0.64 ~op(op(e0,e2),e3)=op(e0,op(e2,e3))|sQ46_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f508])).
% 0.54/0.64 fof(f511,definition,(
% 0.54/0.64 sQ47_spl <=> (op(op(e0,e3),e0)=op(e0,op(e3,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f513,plain,(
% 0.54/0.64 ~op(op(e0,e3),e0)=op(e0,op(e3,e0))|sQ47_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f511])).
% 0.54/0.64 fof(f514,definition,(
% 0.54/0.64 sQ48_spl <=> (op(op(e0,e3),e1)=op(e0,op(e3,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f516,plain,(
% 0.54/0.64 ~op(op(e0,e3),e1)=op(e0,op(e3,e1))|sQ48_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f514])).
% 0.54/0.64 fof(f517,definition,(
% 0.54/0.64 sQ49_spl <=> (op(op(e0,e3),e2)=op(e0,op(e3,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f519,plain,(
% 0.54/0.64 ~op(op(e0,e3),e2)=op(e0,op(e3,e2))|sQ49_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f517])).
% 0.54/0.64 fof(f520,definition,(
% 0.54/0.64 sQ50_spl <=> (op(op(e0,e3),e3)=op(e0,op(e3,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f522,plain,(
% 0.54/0.64 ~op(op(e0,e3),e3)=op(e0,op(e3,e3))|sQ50_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f520])).
% 0.54/0.64 fof(f523,definition,(
% 0.54/0.64 sQ51_spl <=> (op(op(e1,e0),e0)=op(e1,op(e0,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f525,plain,(
% 0.54/0.64 ~op(op(e1,e0),e0)=op(e1,op(e0,e0))|sQ51_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f523])).
% 0.54/0.64 fof(f526,definition,(
% 0.54/0.64 sQ52_spl <=> (op(op(e1,e0),e1)=op(e1,op(e0,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f528,plain,(
% 0.54/0.64 ~op(op(e1,e0),e1)=op(e1,op(e0,e1))|sQ52_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f526])).
% 0.54/0.64 fof(f529,definition,(
% 0.54/0.64 sQ53_spl <=> (op(op(e1,e0),e2)=op(e1,op(e0,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f531,plain,(
% 0.54/0.64 ~op(op(e1,e0),e2)=op(e1,op(e0,e2))|sQ53_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f529])).
% 0.54/0.64 fof(f532,definition,(
% 0.54/0.64 sQ54_spl <=> (op(op(e1,e0),e3)=op(e1,op(e0,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f534,plain,(
% 0.54/0.64 ~op(op(e1,e0),e3)=op(e1,op(e0,e3))|sQ54_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f532])).
% 0.54/0.64 fof(f535,definition,(
% 0.54/0.64 sQ55_spl <=> (op(op(e1,e1),e0)=op(e1,op(e1,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f537,plain,(
% 0.54/0.64 ~op(op(e1,e1),e0)=op(e1,op(e1,e0))|sQ55_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f535])).
% 0.54/0.64 fof(f538,definition,(
% 0.54/0.64 sQ56_spl <=> (op(op(e1,e1),e1)=op(e1,op(e1,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f540,plain,(
% 0.54/0.64 ~op(op(e1,e1),e1)=op(e1,op(e1,e1))|sQ56_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f538])).
% 0.54/0.64 fof(f541,definition,(
% 0.54/0.64 sQ57_spl <=> (op(op(e1,e1),e2)=op(e1,op(e1,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f543,plain,(
% 0.54/0.64 ~op(op(e1,e1),e2)=op(e1,op(e1,e2))|sQ57_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f541])).
% 0.54/0.64 fof(f544,definition,(
% 0.54/0.64 sQ58_spl <=> (op(op(e1,e1),e3)=op(e1,op(e1,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f546,plain,(
% 0.54/0.64 ~op(op(e1,e1),e3)=op(e1,op(e1,e3))|sQ58_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f544])).
% 0.54/0.64 fof(f547,definition,(
% 0.54/0.64 sQ59_spl <=> (op(op(e1,e2),e0)=op(e1,op(e2,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f549,plain,(
% 0.54/0.64 ~op(op(e1,e2),e0)=op(e1,op(e2,e0))|sQ59_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f547])).
% 0.54/0.64 fof(f550,definition,(
% 0.54/0.64 sQ60_spl <=> (op(op(e1,e2),e1)=op(e1,op(e2,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f552,plain,(
% 0.54/0.64 ~op(op(e1,e2),e1)=op(e1,op(e2,e1))|sQ60_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f550])).
% 0.54/0.64 fof(f553,definition,(
% 0.54/0.64 sQ61_spl <=> (op(op(e1,e2),e2)=op(e1,op(e2,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f555,plain,(
% 0.54/0.64 ~op(op(e1,e2),e2)=op(e1,op(e2,e2))|sQ61_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f553])).
% 0.54/0.64 fof(f556,definition,(
% 0.54/0.64 sQ62_spl <=> (op(op(e1,e2),e3)=op(e1,op(e2,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f558,plain,(
% 0.54/0.64 ~op(op(e1,e2),e3)=op(e1,op(e2,e3))|sQ62_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f556])).
% 0.54/0.64 fof(f559,definition,(
% 0.54/0.64 sQ63_spl <=> (op(op(e1,e3),e0)=op(e1,op(e3,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f561,plain,(
% 0.54/0.64 ~op(op(e1,e3),e0)=op(e1,op(e3,e0))|sQ63_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f559])).
% 0.54/0.64 fof(f562,definition,(
% 0.54/0.64 sQ64_spl <=> (op(op(e1,e3),e1)=op(e1,op(e3,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f564,plain,(
% 0.54/0.64 ~op(op(e1,e3),e1)=op(e1,op(e3,e1))|sQ64_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f562])).
% 0.54/0.64 fof(f565,definition,(
% 0.54/0.64 sQ65_spl <=> (op(op(e1,e3),e2)=op(e1,op(e3,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f566,plain,(
% 0.54/0.64 op(op(e1,e3),e2)=op(e1,op(e3,e2))|~sQ65_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f565])).
% 0.54/0.64 fof(f567,plain,(
% 0.54/0.64 ~op(op(e1,e3),e2)=op(e1,op(e3,e2))|sQ65_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f565])).
% 0.54/0.64 fof(f568,definition,(
% 0.54/0.64 sQ66_spl <=> (op(op(e1,e3),e3)=op(e1,op(e3,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f570,plain,(
% 0.54/0.64 ~op(op(e1,e3),e3)=op(e1,op(e3,e3))|sQ66_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f568])).
% 0.54/0.64 fof(f571,definition,(
% 0.54/0.64 sQ67_spl <=> (op(op(e2,e0),e0)=op(e2,op(e0,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f573,plain,(
% 0.54/0.64 ~op(op(e2,e0),e0)=op(e2,op(e0,e0))|sQ67_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f571])).
% 0.54/0.64 fof(f574,definition,(
% 0.54/0.64 sQ68_spl <=> (op(op(e2,e0),e1)=op(e2,op(e0,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f576,plain,(
% 0.54/0.64 ~op(op(e2,e0),e1)=op(e2,op(e0,e1))|sQ68_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f574])).
% 0.54/0.64 fof(f577,definition,(
% 0.54/0.64 sQ69_spl <=> (op(op(e2,e0),e2)=op(e2,op(e0,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f579,plain,(
% 0.54/0.64 ~op(op(e2,e0),e2)=op(e2,op(e0,e2))|sQ69_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f577])).
% 0.54/0.64 fof(f580,definition,(
% 0.54/0.64 sQ70_spl <=> (op(op(e2,e0),e3)=op(e2,op(e0,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f582,plain,(
% 0.54/0.64 ~op(op(e2,e0),e3)=op(e2,op(e0,e3))|sQ70_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f580])).
% 0.54/0.64 fof(f583,definition,(
% 0.54/0.64 sQ71_spl <=> (op(op(e2,e1),e0)=op(e2,op(e1,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f585,plain,(
% 0.54/0.64 ~op(op(e2,e1),e0)=op(e2,op(e1,e0))|sQ71_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f583])).
% 0.54/0.64 fof(f586,definition,(
% 0.54/0.64 sQ72_spl <=> (op(op(e2,e1),e1)=op(e2,op(e1,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f588,plain,(
% 0.54/0.64 ~op(op(e2,e1),e1)=op(e2,op(e1,e1))|sQ72_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f586])).
% 0.54/0.64 fof(f589,definition,(
% 0.54/0.64 sQ73_spl <=> (op(op(e2,e1),e2)=op(e2,op(e1,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f591,plain,(
% 0.54/0.64 ~op(op(e2,e1),e2)=op(e2,op(e1,e2))|sQ73_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f589])).
% 0.54/0.64 fof(f592,definition,(
% 0.54/0.64 sQ74_spl <=> (op(op(e2,e1),e3)=op(e2,op(e1,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f593,plain,(
% 0.54/0.64 op(op(e2,e1),e3)=op(e2,op(e1,e3))|~sQ74_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f592])).
% 0.54/0.64 fof(f594,plain,(
% 0.54/0.64 ~op(op(e2,e1),e3)=op(e2,op(e1,e3))|sQ74_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f592])).
% 0.54/0.64 fof(f595,definition,(
% 0.54/0.64 sQ75_spl <=> (op(op(e2,e2),e0)=op(e2,op(e2,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f597,plain,(
% 0.54/0.64 ~op(op(e2,e2),e0)=op(e2,op(e2,e0))|sQ75_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f595])).
% 0.54/0.64 fof(f598,definition,(
% 0.54/0.64 sQ76_spl <=> (op(op(e2,e2),e1)=op(e2,op(e2,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f600,plain,(
% 0.54/0.64 ~op(op(e2,e2),e1)=op(e2,op(e2,e1))|sQ76_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f598])).
% 0.54/0.64 fof(f601,definition,(
% 0.54/0.64 sQ77_spl <=> (op(op(e2,e2),e2)=op(e2,op(e2,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f603,plain,(
% 0.54/0.64 ~op(op(e2,e2),e2)=op(e2,op(e2,e2))|sQ77_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f601])).
% 0.54/0.64 fof(f604,definition,(
% 0.54/0.64 sQ78_spl <=> (op(op(e2,e2),e3)=op(e2,op(e2,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f606,plain,(
% 0.54/0.64 ~op(op(e2,e2),e3)=op(e2,op(e2,e3))|sQ78_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f604])).
% 0.54/0.64 fof(f607,definition,(
% 0.54/0.64 sQ79_spl <=> (op(op(e2,e3),e0)=op(e2,op(e3,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f609,plain,(
% 0.54/0.64 ~op(op(e2,e3),e0)=op(e2,op(e3,e0))|sQ79_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f607])).
% 0.54/0.64 fof(f610,definition,(
% 0.54/0.64 sQ80_spl <=> (op(op(e2,e3),e1)=op(e2,op(e3,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f612,plain,(
% 0.54/0.64 ~op(op(e2,e3),e1)=op(e2,op(e3,e1))|sQ80_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f610])).
% 0.54/0.64 fof(f613,definition,(
% 0.54/0.64 sQ81_spl <=> (op(op(e2,e3),e2)=op(e2,op(e3,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f615,plain,(
% 0.54/0.64 ~op(op(e2,e3),e2)=op(e2,op(e3,e2))|sQ81_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f613])).
% 0.54/0.64 fof(f616,definition,(
% 0.54/0.64 sQ82_spl <=> (op(op(e2,e3),e3)=op(e2,op(e3,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f618,plain,(
% 0.54/0.64 ~op(op(e2,e3),e3)=op(e2,op(e3,e3))|sQ82_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f616])).
% 0.54/0.64 fof(f619,definition,(
% 0.54/0.64 sQ83_spl <=> (op(op(e3,e0),e0)=op(e3,op(e0,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f621,plain,(
% 0.54/0.64 ~op(op(e3,e0),e0)=op(e3,op(e0,e0))|sQ83_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f619])).
% 0.54/0.64 fof(f622,definition,(
% 0.54/0.64 sQ84_spl <=> (op(op(e3,e0),e1)=op(e3,op(e0,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f624,plain,(
% 0.54/0.64 ~op(op(e3,e0),e1)=op(e3,op(e0,e1))|sQ84_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f622])).
% 0.54/0.64 fof(f625,definition,(
% 0.54/0.64 sQ85_spl <=> (op(op(e3,e0),e2)=op(e3,op(e0,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f627,plain,(
% 0.54/0.64 ~op(op(e3,e0),e2)=op(e3,op(e0,e2))|sQ85_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f625])).
% 0.54/0.64 fof(f628,definition,(
% 0.54/0.64 sQ86_spl <=> (op(op(e3,e0),e3)=op(e3,op(e0,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f630,plain,(
% 0.54/0.64 ~op(op(e3,e0),e3)=op(e3,op(e0,e3))|sQ86_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f628])).
% 0.54/0.64 fof(f631,definition,(
% 0.54/0.64 sQ87_spl <=> (op(op(e3,e1),e0)=op(e3,op(e1,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f633,plain,(
% 0.54/0.64 ~op(op(e3,e1),e0)=op(e3,op(e1,e0))|sQ87_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f631])).
% 0.54/0.64 fof(f634,definition,(
% 0.54/0.64 sQ88_spl <=> (op(op(e3,e1),e1)=op(e3,op(e1,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f636,plain,(
% 0.54/0.64 ~op(op(e3,e1),e1)=op(e3,op(e1,e1))|sQ88_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f634])).
% 0.54/0.64 fof(f637,definition,(
% 0.54/0.64 sQ89_spl <=> (op(op(e3,e1),e2)=op(e3,op(e1,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f639,plain,(
% 0.54/0.64 ~op(op(e3,e1),e2)=op(e3,op(e1,e2))|sQ89_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f637])).
% 0.54/0.64 fof(f640,definition,(
% 0.54/0.64 sQ90_spl <=> (op(op(e3,e1),e3)=op(e3,op(e1,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f642,plain,(
% 0.54/0.64 ~op(op(e3,e1),e3)=op(e3,op(e1,e3))|sQ90_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f640])).
% 0.54/0.64 fof(f643,definition,(
% 0.54/0.64 sQ91_spl <=> (op(op(e3,e2),e0)=op(e3,op(e2,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f645,plain,(
% 0.54/0.64 ~op(op(e3,e2),e0)=op(e3,op(e2,e0))|sQ91_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f643])).
% 0.54/0.64 fof(f646,definition,(
% 0.54/0.64 sQ92_spl <=> (op(op(e3,e2),e1)=op(e3,op(e2,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f648,plain,(
% 0.54/0.64 ~op(op(e3,e2),e1)=op(e3,op(e2,e1))|sQ92_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f646])).
% 0.54/0.64 fof(f649,definition,(
% 0.54/0.64 sQ93_spl <=> (op(op(e3,e2),e2)=op(e3,op(e2,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f651,plain,(
% 0.54/0.64 ~op(op(e3,e2),e2)=op(e3,op(e2,e2))|sQ93_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f649])).
% 0.54/0.64 fof(f652,definition,(
% 0.54/0.64 sQ94_spl <=> (op(op(e3,e2),e3)=op(e3,op(e2,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f654,plain,(
% 0.54/0.64 ~op(op(e3,e2),e3)=op(e3,op(e2,e3))|sQ94_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f652])).
% 0.54/0.64 fof(f655,definition,(
% 0.54/0.64 sQ95_spl <=> (op(op(e3,e3),e0)=op(e3,op(e3,e0)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f657,plain,(
% 0.54/0.64 ~op(op(e3,e3),e0)=op(e3,op(e3,e0))|sQ95_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f655])).
% 0.54/0.64 fof(f658,definition,(
% 0.54/0.64 sQ96_spl <=> (op(op(e3,e3),e1)=op(e3,op(e3,e1)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f660,plain,(
% 0.54/0.64 ~op(op(e3,e3),e1)=op(e3,op(e3,e1))|sQ96_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f658])).
% 0.54/0.64 fof(f661,definition,(
% 0.54/0.64 sQ97_spl <=> (op(op(e3,e3),e2)=op(e3,op(e3,e2)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f663,plain,(
% 0.54/0.64 ~op(op(e3,e3),e2)=op(e3,op(e3,e2))|sQ97_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f661])).
% 0.54/0.64 fof(f664,definition,(
% 0.54/0.64 sQ98_spl <=> (op(op(e3,e3),e3)=op(e3,op(e3,e3)))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f666,plain,(
% 0.54/0.64 ~op(op(e3,e3),e3)=op(e3,op(e3,e3))|sQ98_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f664])).
% 0.54/0.64 fof(f667,definition,(
% 0.54/0.64 sQ99_spl <=> (op(unit,e0)=e0)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f669,plain,(
% 0.54/0.64 ~op(unit,e0)=e0|sQ99_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f667])).
% 0.54/0.64 fof(f670,definition,(
% 0.54/0.64 sQ100_spl <=> (op(e0,unit)=e0)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f672,plain,(
% 0.54/0.64 ~op(e0,unit)=e0|sQ100_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f670])).
% 0.54/0.64 fof(f673,definition,(
% 0.54/0.64 sQ101_spl <=> (op(unit,e1)=e1)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f675,plain,(
% 0.54/0.64 ~op(unit,e1)=e1|sQ101_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f673])).
% 0.54/0.64 fof(f676,definition,(
% 0.54/0.64 sQ102_spl <=> (op(e1,unit)=e1)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f678,plain,(
% 0.54/0.64 ~op(e1,unit)=e1|sQ102_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f676])).
% 0.54/0.64 fof(f679,definition,(
% 0.54/0.64 sQ103_spl <=> (op(unit,e2)=e2)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f681,plain,(
% 0.54/0.64 ~op(unit,e2)=e2|sQ103_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f679])).
% 0.54/0.64 fof(f682,definition,(
% 0.54/0.64 sQ104_spl <=> (op(e2,unit)=e2)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f684,plain,(
% 0.54/0.64 ~op(e2,unit)=e2|sQ104_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f682])).
% 0.54/0.64 fof(f685,definition,(
% 0.54/0.64 sQ105_spl <=> (op(unit,e3)=e3)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f687,plain,(
% 0.54/0.64 ~op(unit,e3)=e3|sQ105_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f685])).
% 0.54/0.64 fof(f688,definition,(
% 0.54/0.64 sQ106_spl <=> (op(e3,unit)=e3)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f690,plain,(
% 0.54/0.64 ~op(e3,unit)=e3|sQ106_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f688])).
% 0.54/0.64 fof(f691,plain,(
% 0.54/0.64 ~sQ20_spl|sQ33_spl|~sQ34_spl|~sQ35_spl|~sQ36_spl|~sQ37_spl|~sQ38_spl|~sQ39_spl|~sQ40_spl|~sQ41_spl|~sQ42_spl|~sQ43_spl|~sQ44_spl|~sQ45_spl|~sQ46_spl|~sQ47_spl|~sQ48_spl|~sQ49_spl|~sQ50_spl|~sQ51_spl|~sQ52_spl|~sQ53_spl|~sQ54_spl|~sQ55_spl|~sQ56_spl|~sQ57_spl|~sQ58_spl|~sQ59_spl|~sQ60_spl|~sQ61_spl|~sQ62_spl|~sQ63_spl|~sQ64_spl|~sQ65_spl|~sQ66_spl|~sQ67_spl|~sQ68_spl|~sQ69_spl|~sQ70_spl|~sQ71_spl|~sQ72_spl|~sQ73_spl|~sQ74_spl|~sQ75_spl|~sQ76_spl|~sQ77_spl|~sQ78_spl|~sQ79_spl|~sQ80_spl|~sQ81_spl|~sQ82_spl|~sQ83_spl|~sQ84_spl|~sQ85_spl|~sQ86_spl|~sQ87_spl|~sQ88_spl|~sQ89_spl|~sQ90_spl|~sQ91_spl|~sQ92_spl|~sQ93_spl|~sQ94_spl|~sQ95_spl|~sQ96_spl|~sQ97_spl|~sQ98_spl|~sQ99_spl|~sQ100_spl|~sQ101_spl|~sQ102_spl|~sQ103_spl|~sQ104_spl|~sQ105_spl|~sQ106_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f88,f416,f469,f472,f475,f478,f481,f484,f487,f490,f493,f496,f499,f502,f505,f508,f511,f514,f517,f520,f523,f526,f529,f532,f535,f538,f541,f544,f547,f550,f553,f556,f559,f562,f565,f568,f571,f574,f577,f580,f583,f586,f589,f592,f595,f598,f601,f604,f607,f610,f613,f616,f619,f622,f625,f628,f631,f634,f637,f640,f643,f646,f649,f652,f655,f658,f661,f664,f667,f670,f673,f676,f679,f682,f685,f688])).
% 0.54/0.64 fof(f778,definition,(
% 0.54/0.64 sQ110_spl <=> (sP6_prd)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f785,definition,(
% 0.54/0.64 sQ112_spl <=> (op(e3,e2)=e1)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f787,plain,(
% 0.54/0.64 ~op(e3,e2)=e1|sQ112_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f785])).
% 0.54/0.64 fof(f788,plain,(
% 0.54/0.64 ~sQ33_spl|sQ110_spl|~sQ112_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f170,f469,f778,f785])).
% 0.54/0.64 fof(f799,definition,(
% 0.54/0.64 sQ115_spl <=> (sP7_prd)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f810,definition,(
% 0.54/0.64 sQ118_spl <=> (op(e3,e1)=e2)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f812,plain,(
% 0.54/0.64 ~op(e3,e1)=e2|sQ118_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f810])).
% 0.54/0.64 fof(f813,plain,(
% 0.54/0.64 ~sQ110_spl|sQ115_spl|~sQ118_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f180,f778,f799,f810])).
% 0.54/0.64 fof(f820,definition,(
% 0.54/0.64 sQ120_spl <=> (sP8_prd)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f835,definition,(
% 0.54/0.64 sQ124_spl <=> (op(e3,e0)=e3)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f837,plain,(
% 0.54/0.64 ~op(e3,e0)=e3|sQ124_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f835])).
% 0.54/0.64 fof(f838,plain,(
% 0.54/0.64 ~sQ115_spl|sQ120_spl|~sQ124_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f190,f799,f820,f835])).
% 0.54/0.64 fof(f841,definition,(
% 0.54/0.64 sQ125_spl <=> (sP9_prd)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f848,definition,(
% 0.54/0.64 sQ127_spl <=> (op(e2,e3)=e1)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f850,plain,(
% 0.54/0.64 ~op(e2,e3)=e1|sQ127_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f848])).
% 0.54/0.64 fof(f851,plain,(
% 0.54/0.64 ~sQ120_spl|sQ125_spl|~sQ127_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f197,f820,f841,f848])).
% 0.54/0.64 fof(f862,definition,(
% 0.54/0.64 sQ130_spl <=> (sP10_prd)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f865,definition,(
% 0.54/0.64 sQ131_spl <=> (op(e2,e2)=e0)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f866,plain,(
% 0.54/0.64 op(e2,e2)=e0|~sQ131_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f865])).
% 0.54/0.64 fof(f877,definition,(
% 0.54/0.64 sQ134_spl <=> (op(e2,e2)=e3)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f879,plain,(
% 0.54/0.64 ~op(e2,e2)=e3|sQ134_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f877])).
% 0.54/0.64 fof(f880,plain,(
% 0.54/0.64 ~sQ125_spl|sQ130_spl|~sQ134_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f208,f841,f862,f877])).
% 0.54/0.64 fof(f883,definition,(
% 0.54/0.64 sQ135_spl <=> (sP11_prd)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f886,definition,(
% 0.54/0.64 sQ136_spl <=> (op(e2,e1)=e0)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f888,plain,(
% 0.54/0.64 ~op(e2,e1)=e0|sQ136_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f886])).
% 0.54/0.64 fof(f889,plain,(
% 0.54/0.64 ~sQ130_spl|sQ135_spl|~sQ136_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f214,f862,f883,f886])).
% 0.54/0.64 fof(f904,definition,(
% 0.54/0.64 sQ140_spl <=> (sP12_prd)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f915,definition,(
% 0.54/0.64 sQ143_spl <=> (op(e2,e0)=e2)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f917,plain,(
% 0.54/0.64 ~op(e2,e0)=e2|sQ143_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f915])).
% 0.54/0.64 fof(f918,plain,(
% 0.54/0.64 ~sQ135_spl|sQ140_spl|~sQ143_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f225,f883,f904,f915])).
% 0.54/0.64 fof(f925,definition,(
% 0.54/0.64 sQ145_spl <=> (sP13_prd)),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f936,definition,(
% 0.54/0.65 sQ148_spl <=> (op(e1,e3)=e2)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f938,plain,(
% 0.54/0.65 ~op(e1,e3)=e2|sQ148_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f936])).
% 0.54/0.65 fof(f939,plain,(
% 0.54/0.65 ~sQ140_spl|sQ145_spl|~sQ148_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f234,f904,f925,f936])).
% 0.54/0.65 fof(f946,definition,(
% 0.54/0.65 sQ150_spl <=> (sP14_prd)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f949,definition,(
% 0.54/0.65 sQ151_spl <=> (op(e1,e2)=e0)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f951,plain,(
% 0.54/0.65 ~op(e1,e2)=e0|sQ151_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f949])).
% 0.54/0.65 fof(f952,plain,(
% 0.54/0.65 ~sQ145_spl|sQ150_spl|~sQ151_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f241,f925,f946,f949])).
% 0.54/0.65 fof(f967,definition,(
% 0.54/0.65 sQ155_spl <=> (sP15_prd)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f982,definition,(
% 0.54/0.65 sQ159_spl <=> (op(e1,e1)=e3)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f984,plain,(
% 0.54/0.65 ~op(e1,e1)=e3|sQ159_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f982])).
% 0.54/0.65 fof(f985,plain,(
% 0.54/0.65 ~sQ150_spl|sQ155_spl|~sQ159_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f253,f946,f967,f982])).
% 0.54/0.65 fof(f988,definition,(
% 0.54/0.65 sQ160_spl <=> (sP16_prd)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f995,definition,(
% 0.54/0.65 sQ162_spl <=> (op(e1,e0)=e1)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f997,plain,(
% 0.54/0.65 ~op(e1,e0)=e1|sQ162_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f995])).
% 0.54/0.65 fof(f998,plain,(
% 0.54/0.65 ~sQ155_spl|sQ160_spl|~sQ162_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f260,f967,f988,f995])).
% 0.54/0.65 fof(f1009,definition,(
% 0.54/0.65 sQ165_spl <=> (sP17_prd)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f1024,definition,(
% 0.54/0.65 sQ169_spl <=> (op(e0,e3)=e3)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f1026,plain,(
% 0.54/0.65 ~op(e0,e3)=e3|sQ169_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f1024])).
% 0.54/0.65 fof(f1027,plain,(
% 0.54/0.65 ~sQ160_spl|sQ165_spl|~sQ169_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f271,f988,f1009,f1024])).
% 0.54/0.65 fof(f1030,definition,(
% 0.54/0.65 sQ170_spl <=> (sP18_prd)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f1041,definition,(
% 0.54/0.65 sQ173_spl <=> (op(e0,e2)=e2)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f1043,plain,(
% 0.54/0.65 ~op(e0,e2)=e2|sQ173_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f1041])).
% 0.54/0.65 fof(f1044,plain,(
% 0.54/0.65 ~sQ165_spl|sQ170_spl|~sQ173_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f279,f1009,f1030,f1041])).
% 0.54/0.65 fof(f1051,definition,(
% 0.54/0.65 sQ175_spl <=> (sP19_prd)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f1058,definition,(
% 0.54/0.65 sQ177_spl <=> (op(e0,e1)=e1)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f1060,plain,(
% 0.54/0.65 ~op(e0,e1)=e1|sQ177_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f1058])).
% 0.54/0.65 fof(f1061,plain,(
% 0.54/0.65 ~sQ170_spl|sQ175_spl|~sQ177_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f287,f1030,f1051,f1058])).
% 0.54/0.65 fof(f1072,definition,(
% 0.54/0.65 sQ180_spl <=> (sP20_prd)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f1075,definition,(
% 0.54/0.65 sQ181_spl <=> (op(e0,e0)=e0)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f1077,plain,(
% 0.54/0.65 ~op(e0,e0)=e0|sQ181_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f1075])).
% 0.54/0.65 fof(f1078,plain,(
% 0.54/0.65 ~sQ175_spl|sQ180_spl|~sQ181_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f295,f1051,f1072,f1075])).
% 0.54/0.65 fof(f1079,definition,(
% 0.54/0.65 sQ182_spl <=> (op(e0,e0)=e1)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f1080,plain,(
% 0.54/0.65 op(e0,e0)=e1|~sQ182_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f1079])).
% 0.54/0.65 fof(f1083,definition,(
% 0.54/0.65 sQ183_spl <=> (op(e0,e0)=e2)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f1084,plain,(
% 0.54/0.65 op(e0,e0)=e2|~sQ183_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f1083])).
% 0.54/0.65 fof(f1087,definition,(
% 0.54/0.65 sQ184_spl <=> (op(e0,e0)=e3)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f1088,plain,(
% 0.54/0.65 op(e0,e0)=e3|~sQ184_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f1087])).
% 0.54/0.65 fof(f1093,definition,(
% 0.54/0.65 sQ185_spl <=> (sP21_prd)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f1096,plain,(
% 0.54/0.65 ~sQ180_spl|sQ185_spl|sQ184_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f304,f1072,f1093,f1087])).
% 0.54/0.65 fof(f1102,definition,(
% 0.54/0.65 sQ186_spl <=> (sP22_prd)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f1105,plain,(
% 0.54/0.65 ~sQ185_spl|sQ186_spl|sQ183_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f313,f1093,f1102,f1083])).
% 0.54/0.65 fof(f1111,definition,(
% 0.54/0.65 sQ187_spl <=> (sP23_prd)),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f1114,plain,(
% 0.54/0.65 ~sQ186_spl|sQ187_spl|sQ182_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f322,f1102,f1111,f1079])).
% 0.54/0.65 fof(f1122,plain,(
% 0.54/0.65 ~sQ187_spl|sQ131_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f331,f1111,f865])).
% 0.54/0.65 fof(f1125,plain,(
% 0.54/0.65 ~op(e0,e3)=e3|sQ105_spl),
% 0.54/0.65 inference(backward_demodulation,[status(thm)],[f29,f687])).
% 0.54/0.65 fof(f1126,plain,(
% 0.54/0.65 ~op(e3,e0)=e3|sQ106_spl),
% 0.54/0.65 inference(backward_demodulation,[status(thm)],[f29,f690])).
% 0.54/0.65 fof(f1127,plain,(
% 0.54/0.65 ~e3=e3|sQ105_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f1125])).
% 0.54/0.65 fof(f1128,plain,(
% 0.54/0.65 $false|sQ105_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1127])).
% 0.54/0.65 fof(f1129,plain,(
% 0.54/0.65 sQ105_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1128])).
% 0.54/0.65 fof(f1131,plain,(
% 0.54/0.65 e0=e3|~sQ131_spl),
% 0.54/0.65 inference(backward_demodulation,[status(thm)],[f866,f23])).
% 0.54/0.65 fof(f1132,plain,(
% 0.54/0.65 $false|~sQ131_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1131,f9])).
% 0.54/0.65 fof(f1133,plain,(
% 0.54/0.65 ~sQ131_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1132])).
% 0.54/0.65 fof(f1137,plain,(
% 0.54/0.65 ~e3=e3|sQ4_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f33,f351])).
% 0.54/0.65 fof(f1138,plain,(
% 0.54/0.65 $false|sQ4_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1137])).
% 0.54/0.65 fof(f1139,plain,(
% 0.54/0.65 sQ4_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1138])).
% 0.54/0.65 fof(f1143,plain,(
% 0.54/0.65 e0=e2|~sQ183_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1084])).
% 0.54/0.65 fof(f1144,plain,(
% 0.54/0.65 $false|~sQ183_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1143,f8])).
% 0.54/0.65 fof(f1145,plain,(
% 0.54/0.65 ~sQ183_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1144])).
% 0.54/0.65 fof(f1203,plain,(
% 0.54/0.65 ~op(e0,e0)=op(e0,op(e0,e0))|sQ35_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f477])).
% 0.54/0.65 fof(f1204,plain,(
% 0.54/0.65 ~e0=op(e0,op(e0,e0))|sQ35_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1203])).
% 0.54/0.65 fof(f1205,plain,(
% 0.54/0.65 ~e0=op(e0,e0)|sQ35_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1204])).
% 0.54/0.65 fof(f1206,plain,(
% 0.54/0.65 ~e0=e0|sQ35_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1205])).
% 0.54/0.65 fof(f1207,plain,(
% 0.54/0.65 $false|sQ35_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1206])).
% 0.54/0.65 fof(f1208,plain,(
% 0.54/0.65 sQ35_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1207])).
% 0.54/0.65 fof(f1209,plain,(
% 0.54/0.65 ~op(e0,e1)=op(e0,op(e0,e1))|sQ36_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f480])).
% 0.54/0.65 fof(f1210,plain,(
% 0.54/0.65 ~e1=op(e0,op(e0,e1))|sQ36_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f1209])).
% 0.54/0.65 fof(f1211,plain,(
% 0.54/0.65 ~e1=op(e0,e1)|sQ36_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f1210])).
% 0.54/0.65 fof(f1212,plain,(
% 0.54/0.65 ~e1=e1|sQ36_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f1211])).
% 0.54/0.65 fof(f1213,plain,(
% 0.54/0.65 $false|sQ36_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1212])).
% 0.54/0.65 fof(f1214,plain,(
% 0.54/0.65 sQ36_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1213])).
% 0.54/0.65 fof(f1215,plain,(
% 0.54/0.65 ~op(e0,e2)=op(e0,op(e0,e2))|sQ37_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f483])).
% 0.54/0.65 fof(f1216,plain,(
% 0.54/0.65 ~e2=op(e0,op(e0,e2))|sQ37_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f1215])).
% 0.54/0.65 fof(f1217,plain,(
% 0.54/0.65 ~e2=op(e0,e2)|sQ37_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f1216])).
% 0.54/0.65 fof(f1218,plain,(
% 0.54/0.65 ~e2=e2|sQ37_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f1217])).
% 0.54/0.65 fof(f1219,plain,(
% 0.54/0.65 $false|sQ37_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1218])).
% 0.54/0.65 fof(f1220,plain,(
% 0.54/0.65 sQ37_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1219])).
% 0.54/0.65 fof(f1221,plain,(
% 0.54/0.65 ~op(e0,e3)=op(e0,op(e0,e3))|sQ38_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f486])).
% 0.54/0.65 fof(f1222,plain,(
% 0.54/0.65 ~e3=op(e0,op(e0,e3))|sQ38_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f1221])).
% 0.54/0.65 fof(f1223,plain,(
% 0.54/0.65 ~e3=op(e0,e3)|sQ38_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f1222])).
% 0.54/0.65 fof(f1224,plain,(
% 0.54/0.65 ~e3=e3|sQ38_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f1223])).
% 0.54/0.65 fof(f1225,plain,(
% 0.54/0.65 $false|sQ38_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1224])).
% 0.54/0.65 fof(f1226,plain,(
% 0.54/0.65 sQ38_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1225])).
% 0.54/0.65 fof(f1227,plain,(
% 0.54/0.65 ~op(e1,e0)=op(e0,op(e1,e0))|sQ39_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f489])).
% 0.54/0.65 fof(f1228,plain,(
% 0.54/0.65 ~e1=op(e0,op(e1,e0))|sQ39_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f1227])).
% 0.54/0.65 fof(f1229,plain,(
% 0.54/0.65 ~e1=op(e0,e1)|sQ39_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f1228])).
% 0.54/0.65 fof(f1230,plain,(
% 0.54/0.65 ~e1=e1|sQ39_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f1229])).
% 0.54/0.65 fof(f1231,plain,(
% 0.54/0.65 $false|sQ39_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1230])).
% 0.54/0.65 fof(f1232,plain,(
% 0.54/0.65 sQ39_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1231])).
% 0.54/0.65 fof(f1233,plain,(
% 0.54/0.65 ~op(e1,e1)=op(e0,op(e1,e1))|sQ40_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f492])).
% 0.54/0.65 fof(f1234,plain,(
% 0.54/0.65 ~e3=op(e0,op(e1,e1))|sQ40_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f1233])).
% 0.54/0.65 fof(f1235,plain,(
% 0.54/0.65 ~e3=op(e0,e3)|sQ40_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f1234])).
% 0.54/0.65 fof(f1236,plain,(
% 0.54/0.65 ~e3=e3|sQ40_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f1235])).
% 0.54/0.65 fof(f1237,plain,(
% 0.54/0.65 $false|sQ40_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1236])).
% 0.54/0.65 fof(f1238,plain,(
% 0.54/0.65 sQ40_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1237])).
% 0.54/0.65 fof(f1239,plain,(
% 0.54/0.65 ~op(e1,e2)=op(e0,op(e1,e2))|sQ41_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f495])).
% 0.54/0.65 fof(f1240,plain,(
% 0.54/0.65 ~e0=op(e0,op(e1,e2))|sQ41_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f1239])).
% 0.54/0.65 fof(f1241,plain,(
% 0.54/0.65 ~e0=op(e0,e0)|sQ41_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f1240])).
% 0.54/0.65 fof(f1242,plain,(
% 0.54/0.65 ~e0=e0|sQ41_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1241])).
% 0.54/0.65 fof(f1243,plain,(
% 0.54/0.65 $false|sQ41_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1242])).
% 0.54/0.65 fof(f1244,plain,(
% 0.54/0.65 sQ41_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1243])).
% 0.54/0.65 fof(f1245,plain,(
% 0.54/0.65 ~op(e1,e3)=op(e0,op(e1,e3))|sQ42_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f498])).
% 0.54/0.65 fof(f1246,plain,(
% 0.54/0.65 ~e2=op(e0,op(e1,e3))|sQ42_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f1245])).
% 0.54/0.65 fof(f1247,plain,(
% 0.54/0.65 ~e2=op(e0,e2)|sQ42_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f1246])).
% 0.54/0.65 fof(f1248,plain,(
% 0.54/0.65 ~e2=e2|sQ42_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f1247])).
% 0.54/0.65 fof(f1249,plain,(
% 0.54/0.65 $false|sQ42_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1248])).
% 0.54/0.65 fof(f1250,plain,(
% 0.54/0.65 sQ42_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1249])).
% 0.54/0.65 fof(f1251,plain,(
% 0.54/0.65 ~op(e2,e0)=op(e0,op(e2,e0))|sQ43_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f501])).
% 0.54/0.65 fof(f1252,plain,(
% 0.54/0.65 ~e2=op(e0,op(e2,e0))|sQ43_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f1251])).
% 0.54/0.65 fof(f1253,plain,(
% 0.54/0.65 ~e2=op(e0,e2)|sQ43_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f1252])).
% 0.54/0.65 fof(f1254,plain,(
% 0.54/0.65 ~e2=e2|sQ43_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f1253])).
% 0.54/0.65 fof(f1255,plain,(
% 0.54/0.65 $false|sQ43_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1254])).
% 0.54/0.65 fof(f1256,plain,(
% 0.54/0.65 sQ43_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1255])).
% 0.54/0.65 fof(f1257,plain,(
% 0.54/0.65 ~op(e2,e1)=op(e0,op(e2,e1))|sQ44_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f504])).
% 0.54/0.65 fof(f1258,plain,(
% 0.54/0.65 ~e0=op(e0,op(e2,e1))|sQ44_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f1257])).
% 0.54/0.65 fof(f1259,plain,(
% 0.54/0.65 ~e0=op(e0,e0)|sQ44_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f1258])).
% 0.54/0.65 fof(f1260,plain,(
% 0.54/0.65 ~e0=e0|sQ44_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1259])).
% 0.54/0.65 fof(f1261,plain,(
% 0.54/0.65 $false|sQ44_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1260])).
% 0.54/0.65 fof(f1262,plain,(
% 0.54/0.65 sQ44_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1261])).
% 0.54/0.65 fof(f1263,plain,(
% 0.54/0.65 ~op(e2,e2)=op(e0,op(e2,e2))|sQ45_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f507])).
% 0.54/0.65 fof(f1264,plain,(
% 0.54/0.65 ~op(e2,e3)=op(e0,op(e2,e3))|sQ46_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f510])).
% 0.54/0.65 fof(f1265,plain,(
% 0.54/0.65 ~e1=op(e0,op(e2,e3))|sQ46_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f1264])).
% 0.54/0.65 fof(f1266,plain,(
% 0.54/0.65 ~e1=op(e0,e1)|sQ46_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f1265])).
% 0.54/0.65 fof(f1267,plain,(
% 0.54/0.65 ~e1=e1|sQ46_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f1266])).
% 0.54/0.65 fof(f1268,plain,(
% 0.54/0.65 $false|sQ46_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1267])).
% 0.54/0.65 fof(f1269,plain,(
% 0.54/0.65 sQ46_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1268])).
% 0.54/0.65 fof(f1270,plain,(
% 0.54/0.65 ~op(e3,e0)=op(e0,op(e3,e0))|sQ47_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f513])).
% 0.54/0.65 fof(f1271,plain,(
% 0.54/0.65 ~e3=op(e0,op(e3,e0))|sQ47_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f1270])).
% 0.54/0.65 fof(f1272,plain,(
% 0.54/0.65 ~e3=op(e0,e3)|sQ47_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f1271])).
% 0.54/0.65 fof(f1273,plain,(
% 0.54/0.65 ~e3=e3|sQ47_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f1272])).
% 0.54/0.65 fof(f1274,plain,(
% 0.54/0.65 $false|sQ47_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1273])).
% 0.54/0.65 fof(f1275,plain,(
% 0.54/0.65 sQ47_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1274])).
% 0.54/0.65 fof(f1276,plain,(
% 0.54/0.65 ~op(e3,e1)=op(e0,op(e3,e1))|sQ48_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f516])).
% 0.54/0.65 fof(f1277,plain,(
% 0.54/0.65 ~e2=op(e0,op(e3,e1))|sQ48_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f1276])).
% 0.54/0.65 fof(f1278,plain,(
% 0.54/0.65 ~e2=op(e0,e2)|sQ48_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f1277])).
% 0.54/0.65 fof(f1279,plain,(
% 0.54/0.65 ~e2=e2|sQ48_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f1278])).
% 0.54/0.65 fof(f1280,plain,(
% 0.54/0.65 $false|sQ48_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1279])).
% 0.54/0.65 fof(f1281,plain,(
% 0.54/0.65 sQ48_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1280])).
% 0.54/0.65 fof(f1282,plain,(
% 0.54/0.65 ~op(e3,e2)=op(e0,op(e3,e2))|sQ49_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f519])).
% 0.54/0.65 fof(f1283,plain,(
% 0.54/0.65 ~e1=op(e0,op(e3,e2))|sQ49_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f1282])).
% 0.54/0.65 fof(f1284,plain,(
% 0.54/0.65 ~e1=op(e0,e1)|sQ49_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f1283])).
% 0.54/0.65 fof(f1285,plain,(
% 0.54/0.65 ~e1=e1|sQ49_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f1284])).
% 0.54/0.65 fof(f1286,plain,(
% 0.54/0.65 $false|sQ49_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1285])).
% 0.54/0.65 fof(f1287,plain,(
% 0.54/0.65 sQ49_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1286])).
% 0.54/0.65 fof(f1288,plain,(
% 0.54/0.65 ~op(e3,e3)=op(e0,op(e3,e3))|sQ50_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f522])).
% 0.54/0.65 fof(f1289,plain,(
% 0.54/0.65 ~e0=op(e0,op(e3,e3))|sQ50_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f1288])).
% 0.54/0.65 fof(f1290,plain,(
% 0.54/0.65 ~e0=op(e0,e0)|sQ50_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f1289])).
% 0.54/0.65 fof(f1291,plain,(
% 0.54/0.65 ~e0=e0|sQ50_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1290])).
% 0.54/0.65 fof(f1292,plain,(
% 0.54/0.65 $false|sQ50_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1291])).
% 0.54/0.65 fof(f1293,plain,(
% 0.54/0.65 sQ50_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1292])).
% 0.54/0.65 fof(f1294,plain,(
% 0.54/0.65 ~op(e1,e0)=op(e1,op(e0,e0))|sQ51_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f525])).
% 0.54/0.65 fof(f1295,plain,(
% 0.54/0.65 ~e1=op(e1,op(e0,e0))|sQ51_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f1294])).
% 0.54/0.65 fof(f1296,plain,(
% 0.54/0.65 ~e1=op(e1,e0)|sQ51_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1295])).
% 0.54/0.65 fof(f1297,plain,(
% 0.54/0.65 ~e1=e1|sQ51_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f1296])).
% 0.54/0.65 fof(f1298,plain,(
% 0.54/0.65 $false|sQ51_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1297])).
% 0.54/0.65 fof(f1299,plain,(
% 0.54/0.65 sQ51_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1298])).
% 0.54/0.65 fof(f1300,plain,(
% 0.54/0.65 ~op(e1,e1)=op(e1,op(e0,e1))|sQ52_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f528])).
% 0.54/0.65 fof(f1301,plain,(
% 0.54/0.65 ~e3=op(e1,op(e0,e1))|sQ52_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f1300])).
% 0.54/0.65 fof(f1302,plain,(
% 0.54/0.65 ~e3=op(e1,e1)|sQ52_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f1301])).
% 0.54/0.65 fof(f1303,plain,(
% 0.54/0.65 ~e3=e3|sQ52_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f1302])).
% 0.54/0.65 fof(f1304,plain,(
% 0.54/0.65 $false|sQ52_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1303])).
% 0.54/0.65 fof(f1305,plain,(
% 0.54/0.65 sQ52_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1304])).
% 0.54/0.65 fof(f1306,plain,(
% 0.54/0.65 ~op(e1,e2)=op(e1,op(e0,e2))|sQ53_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f531])).
% 0.54/0.65 fof(f1307,plain,(
% 0.54/0.65 ~e0=op(e1,op(e0,e2))|sQ53_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f1306])).
% 0.54/0.65 fof(f1308,plain,(
% 0.54/0.65 ~e0=op(e1,e2)|sQ53_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f1307])).
% 0.54/0.65 fof(f1309,plain,(
% 0.54/0.65 ~e0=e0|sQ53_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f1308])).
% 0.54/0.65 fof(f1310,plain,(
% 0.54/0.65 $false|sQ53_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1309])).
% 0.54/0.65 fof(f1311,plain,(
% 0.54/0.65 sQ53_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1310])).
% 0.54/0.65 fof(f1312,plain,(
% 0.54/0.65 ~op(e1,e3)=op(e1,op(e0,e3))|sQ54_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f534])).
% 0.54/0.65 fof(f1313,plain,(
% 0.54/0.65 ~e2=op(e1,op(e0,e3))|sQ54_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f1312])).
% 0.54/0.65 fof(f1314,plain,(
% 0.54/0.65 ~e2=op(e1,e3)|sQ54_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f1313])).
% 0.54/0.65 fof(f1315,plain,(
% 0.54/0.65 ~e2=e2|sQ54_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f1314])).
% 0.54/0.65 fof(f1316,plain,(
% 0.54/0.65 $false|sQ54_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1315])).
% 0.54/0.65 fof(f1317,plain,(
% 0.54/0.65 sQ54_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1316])).
% 0.54/0.65 fof(f1318,plain,(
% 0.54/0.65 ~op(e3,e0)=op(e1,op(e1,e0))|sQ55_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f537])).
% 0.54/0.65 fof(f1319,plain,(
% 0.54/0.65 ~e3=op(e1,op(e1,e0))|sQ55_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f1318])).
% 0.54/0.65 fof(f1320,plain,(
% 0.54/0.65 ~e3=op(e1,e1)|sQ55_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f1319])).
% 0.54/0.65 fof(f1321,plain,(
% 0.54/0.65 ~e3=e3|sQ55_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f1320])).
% 0.54/0.65 fof(f1322,plain,(
% 0.54/0.65 $false|sQ55_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1321])).
% 0.54/0.65 fof(f1323,plain,(
% 0.54/0.65 sQ55_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1322])).
% 0.54/0.65 fof(f1324,plain,(
% 0.54/0.65 ~op(e3,e1)=op(e1,op(e1,e1))|sQ56_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f540])).
% 0.54/0.65 fof(f1325,plain,(
% 0.54/0.65 ~e2=op(e1,op(e1,e1))|sQ56_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f1324])).
% 0.54/0.65 fof(f1326,plain,(
% 0.54/0.65 ~e2=op(e1,e3)|sQ56_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f1325])).
% 0.54/0.65 fof(f1327,plain,(
% 0.54/0.65 ~e2=e2|sQ56_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f1326])).
% 0.54/0.65 fof(f1328,plain,(
% 0.54/0.65 $false|sQ56_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1327])).
% 0.54/0.65 fof(f1329,plain,(
% 0.54/0.65 sQ56_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1328])).
% 0.54/0.65 fof(f1330,plain,(
% 0.54/0.65 ~op(e3,e2)=op(e1,op(e1,e2))|sQ57_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f543])).
% 0.54/0.65 fof(f1331,plain,(
% 0.54/0.65 ~e1=op(e1,op(e1,e2))|sQ57_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f1330])).
% 0.54/0.65 fof(f1332,plain,(
% 0.54/0.65 ~e1=op(e1,e0)|sQ57_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f1331])).
% 0.54/0.65 fof(f1333,plain,(
% 0.54/0.65 ~e1=e1|sQ57_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f1332])).
% 0.54/0.65 fof(f1334,plain,(
% 0.54/0.65 $false|sQ57_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1333])).
% 0.54/0.65 fof(f1335,plain,(
% 0.54/0.65 sQ57_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1334])).
% 0.54/0.65 fof(f1336,plain,(
% 0.54/0.65 ~op(e3,e3)=op(e1,op(e1,e3))|sQ58_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f546])).
% 0.54/0.65 fof(f1337,plain,(
% 0.54/0.65 ~e0=op(e1,op(e1,e3))|sQ58_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f1336])).
% 0.54/0.65 fof(f1338,plain,(
% 0.54/0.65 ~e0=op(e1,e2)|sQ58_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f1337])).
% 0.54/0.65 fof(f1339,plain,(
% 0.54/0.65 ~e0=e0|sQ58_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f1338])).
% 0.54/0.65 fof(f1340,plain,(
% 0.54/0.65 $false|sQ58_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1339])).
% 0.54/0.65 fof(f1341,plain,(
% 0.54/0.65 sQ58_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1340])).
% 0.54/0.65 fof(f1342,plain,(
% 0.54/0.65 ~op(e0,e0)=op(e1,op(e2,e0))|sQ59_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f549])).
% 0.54/0.65 fof(f1343,plain,(
% 0.54/0.65 ~e0=op(e1,op(e2,e0))|sQ59_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1342])).
% 0.54/0.65 fof(f1344,plain,(
% 0.54/0.65 ~e0=op(e1,e2)|sQ59_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f1343])).
% 0.54/0.65 fof(f1345,plain,(
% 0.54/0.65 ~e0=e0|sQ59_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f1344])).
% 0.54/0.65 fof(f1346,plain,(
% 0.54/0.65 $false|sQ59_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1345])).
% 0.54/0.65 fof(f1347,plain,(
% 0.54/0.65 sQ59_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1346])).
% 0.54/0.65 fof(f1348,plain,(
% 0.54/0.65 ~op(e0,e1)=op(e1,op(e2,e1))|sQ60_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f552])).
% 0.54/0.65 fof(f1349,plain,(
% 0.54/0.65 ~e1=op(e1,op(e2,e1))|sQ60_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f1348])).
% 0.54/0.65 fof(f1350,plain,(
% 0.54/0.65 ~e1=op(e1,e0)|sQ60_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f1349])).
% 0.54/0.65 fof(f1351,plain,(
% 0.54/0.65 ~e1=e1|sQ60_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f1350])).
% 0.54/0.65 fof(f1352,plain,(
% 0.54/0.65 $false|sQ60_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1351])).
% 0.54/0.65 fof(f1353,plain,(
% 0.54/0.65 sQ60_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1352])).
% 0.54/0.65 fof(f1354,plain,(
% 0.54/0.65 ~op(e0,e2)=op(e1,op(e2,e2))|sQ61_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f555])).
% 0.54/0.65 fof(f1355,plain,(
% 0.54/0.65 ~e2=op(e1,op(e2,e2))|sQ61_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f1354])).
% 0.54/0.65 fof(f1356,plain,(
% 0.54/0.65 ~op(e0,e3)=op(e1,op(e2,e3))|sQ62_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f558])).
% 0.54/0.65 fof(f1357,plain,(
% 0.54/0.65 ~e3=op(e1,op(e2,e3))|sQ62_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f1356])).
% 0.54/0.65 fof(f1358,plain,(
% 0.54/0.65 ~e3=op(e1,e1)|sQ62_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f1357])).
% 0.54/0.65 fof(f1359,plain,(
% 0.54/0.65 ~e3=e3|sQ62_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f1358])).
% 0.54/0.65 fof(f1360,plain,(
% 0.54/0.65 $false|sQ62_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1359])).
% 0.54/0.65 fof(f1361,plain,(
% 0.54/0.65 sQ62_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1360])).
% 0.54/0.65 fof(f1362,plain,(
% 0.54/0.65 ~op(e2,e0)=op(e1,op(e3,e0))|sQ63_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f561])).
% 0.54/0.65 fof(f1363,plain,(
% 0.54/0.65 ~e2=op(e1,op(e3,e0))|sQ63_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f1362])).
% 0.54/0.65 fof(f1364,plain,(
% 0.54/0.65 ~e2=op(e1,e3)|sQ63_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f1363])).
% 0.54/0.65 fof(f1365,plain,(
% 0.54/0.65 ~e2=e2|sQ63_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f1364])).
% 0.54/0.65 fof(f1366,plain,(
% 0.54/0.65 $false|sQ63_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1365])).
% 0.54/0.65 fof(f1367,plain,(
% 0.54/0.65 sQ63_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1366])).
% 0.54/0.65 fof(f1368,plain,(
% 0.54/0.65 ~op(e2,e1)=op(e1,op(e3,e1))|sQ64_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f564])).
% 0.54/0.65 fof(f1369,plain,(
% 0.54/0.65 ~e0=op(e1,op(e3,e1))|sQ64_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f1368])).
% 0.54/0.65 fof(f1370,plain,(
% 0.54/0.65 ~e0=op(e1,e2)|sQ64_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f1369])).
% 0.54/0.65 fof(f1371,plain,(
% 0.54/0.65 ~e0=e0|sQ64_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f1370])).
% 0.54/0.65 fof(f1372,plain,(
% 0.54/0.65 $false|sQ64_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1371])).
% 0.54/0.65 fof(f1373,plain,(
% 0.54/0.65 sQ64_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1372])).
% 0.54/0.65 fof(f1374,plain,(
% 0.54/0.65 ~op(e2,e2)=op(e1,op(e3,e2))|sQ65_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f567])).
% 0.54/0.65 fof(f1375,plain,(
% 0.54/0.65 ~op(e2,e2)=op(e1,e1)|sQ65_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f1374])).
% 0.54/0.65 fof(f1376,plain,(
% 0.54/0.65 ~op(e2,e2)=e3|sQ65_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f1375])).
% 0.54/0.65 fof(f1377,plain,(
% 0.54/0.65 ~op(e2,e3)=op(e1,op(e3,e3))|sQ66_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f570])).
% 0.54/0.65 fof(f1378,plain,(
% 0.54/0.65 ~e1=op(e1,op(e3,e3))|sQ66_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f1377])).
% 0.54/0.65 fof(f1379,plain,(
% 0.54/0.65 ~e1=op(e1,e0)|sQ66_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f1378])).
% 0.54/0.65 fof(f1380,plain,(
% 0.54/0.65 ~e1=e1|sQ66_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f1379])).
% 0.54/0.65 fof(f1381,plain,(
% 0.54/0.65 $false|sQ66_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1380])).
% 0.54/0.65 fof(f1382,plain,(
% 0.54/0.65 sQ66_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1381])).
% 0.54/0.65 fof(f1383,plain,(
% 0.54/0.65 ~op(e2,e0)=op(e2,op(e0,e0))|sQ67_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f573])).
% 0.54/0.65 fof(f1384,plain,(
% 0.54/0.65 ~e2=op(e2,op(e0,e0))|sQ67_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f1383])).
% 0.54/0.65 fof(f1385,plain,(
% 0.54/0.65 ~e2=op(e2,e0)|sQ67_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1384])).
% 0.54/0.65 fof(f1386,plain,(
% 0.54/0.65 ~e2=e2|sQ67_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f1385])).
% 0.54/0.65 fof(f1387,plain,(
% 0.54/0.65 $false|sQ67_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1386])).
% 0.54/0.65 fof(f1388,plain,(
% 0.54/0.65 sQ67_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1387])).
% 0.54/0.65 fof(f1389,plain,(
% 0.54/0.65 ~op(e2,e1)=op(e2,op(e0,e1))|sQ68_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f576])).
% 0.54/0.65 fof(f1390,plain,(
% 0.54/0.65 ~e0=op(e2,op(e0,e1))|sQ68_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f1389])).
% 0.54/0.65 fof(f1391,plain,(
% 0.54/0.65 ~e0=op(e2,e1)|sQ68_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f1390])).
% 0.54/0.65 fof(f1392,plain,(
% 0.54/0.65 ~e0=e0|sQ68_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f1391])).
% 0.54/0.65 fof(f1393,plain,(
% 0.54/0.65 $false|sQ68_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1392])).
% 0.54/0.65 fof(f1394,plain,(
% 0.54/0.65 sQ68_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1393])).
% 0.54/0.65 fof(f1395,plain,(
% 0.54/0.65 ~op(e2,e2)=op(e2,op(e0,e2))|sQ69_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f579])).
% 0.54/0.65 fof(f1396,plain,(
% 0.54/0.65 ~op(e2,e2)=op(e2,e2)|sQ69_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f1395])).
% 0.54/0.65 fof(f1397,plain,(
% 0.54/0.65 $false|sQ69_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1396])).
% 0.54/0.65 fof(f1398,plain,(
% 0.54/0.65 sQ69_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1397])).
% 0.54/0.65 fof(f1399,plain,(
% 0.54/0.65 ~op(e2,e3)=op(e2,op(e0,e3))|sQ70_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f582])).
% 0.54/0.65 fof(f1400,plain,(
% 0.54/0.65 ~e1=op(e2,op(e0,e3))|sQ70_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f1399])).
% 0.54/0.65 fof(f1401,plain,(
% 0.54/0.65 ~e1=op(e2,e3)|sQ70_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f1400])).
% 0.54/0.65 fof(f1402,plain,(
% 0.54/0.65 ~e1=e1|sQ70_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f1401])).
% 0.54/0.65 fof(f1403,plain,(
% 0.54/0.65 $false|sQ70_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1402])).
% 0.54/0.65 fof(f1404,plain,(
% 0.54/0.65 sQ70_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1403])).
% 0.54/0.65 fof(f1405,plain,(
% 0.54/0.65 ~op(e0,e0)=op(e2,op(e1,e0))|sQ71_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f585])).
% 0.54/0.65 fof(f1406,plain,(
% 0.54/0.65 ~e0=op(e2,op(e1,e0))|sQ71_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1405])).
% 0.54/0.65 fof(f1407,plain,(
% 0.54/0.65 ~e0=op(e2,e1)|sQ71_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f1406])).
% 0.54/0.65 fof(f1408,plain,(
% 0.54/0.65 ~e0=e0|sQ71_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f1407])).
% 0.54/0.65 fof(f1409,plain,(
% 0.54/0.65 $false|sQ71_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1408])).
% 0.54/0.65 fof(f1410,plain,(
% 0.54/0.65 sQ71_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1409])).
% 0.54/0.65 fof(f1411,plain,(
% 0.54/0.65 ~op(e0,e1)=op(e2,op(e1,e1))|sQ72_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f588])).
% 0.54/0.65 fof(f1412,plain,(
% 0.54/0.65 ~e1=op(e2,op(e1,e1))|sQ72_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f1411])).
% 0.54/0.65 fof(f1413,plain,(
% 0.54/0.65 ~e1=op(e2,e3)|sQ72_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f1412])).
% 0.54/0.65 fof(f1414,plain,(
% 0.54/0.65 ~e1=e1|sQ72_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f1413])).
% 0.54/0.65 fof(f1415,plain,(
% 0.54/0.65 $false|sQ72_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1414])).
% 0.54/0.65 fof(f1416,plain,(
% 0.54/0.65 sQ72_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1415])).
% 0.54/0.65 fof(f1417,plain,(
% 0.54/0.65 ~op(e0,e2)=op(e2,op(e1,e2))|sQ73_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f591])).
% 0.54/0.65 fof(f1418,plain,(
% 0.54/0.65 ~e2=op(e2,op(e1,e2))|sQ73_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f1417])).
% 0.54/0.65 fof(f1419,plain,(
% 0.54/0.65 ~e2=op(e2,e0)|sQ73_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f1418])).
% 0.54/0.65 fof(f1420,plain,(
% 0.54/0.65 ~e2=e2|sQ73_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f1419])).
% 0.54/0.65 fof(f1421,plain,(
% 0.54/0.65 $false|sQ73_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1420])).
% 0.54/0.65 fof(f1422,plain,(
% 0.54/0.65 sQ73_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1421])).
% 0.54/0.65 fof(f1423,plain,(
% 0.54/0.65 ~op(e0,e3)=op(e2,op(e1,e3))|sQ74_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f594])).
% 0.54/0.65 fof(f1424,plain,(
% 0.54/0.65 ~e3=op(e2,op(e1,e3))|sQ74_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f1423])).
% 0.54/0.65 fof(f1425,plain,(
% 0.54/0.65 ~e3=op(e2,e2)|sQ74_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f1424])).
% 0.54/0.65 fof(f1426,plain,(
% 0.54/0.65 ~op(op(e2,e2),e0)=op(e2,e2)|sQ75_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f597])).
% 0.54/0.65 fof(f1427,plain,(
% 0.54/0.65 ~op(op(e2,e2),e1)=op(e2,e0)|sQ76_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f600])).
% 0.54/0.65 fof(f1428,plain,(
% 0.54/0.65 ~op(op(e2,e2),e1)=e2|sQ76_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f1427])).
% 0.54/0.65 fof(f1429,plain,(
% 0.54/0.65 ~op(op(e2,e2),e3)=op(e2,e1)|sQ78_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f606])).
% 0.54/0.65 fof(f1430,plain,(
% 0.54/0.65 ~op(op(e2,e2),e3)=e0|sQ78_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f1429])).
% 0.54/0.65 fof(f1431,plain,(
% 0.54/0.65 ~op(e1,e0)=op(e2,op(e3,e0))|sQ79_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f609])).
% 0.54/0.65 fof(f1432,plain,(
% 0.54/0.65 ~e1=op(e2,op(e3,e0))|sQ79_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f1431])).
% 0.54/0.65 fof(f1433,plain,(
% 0.54/0.65 ~e1=op(e2,e3)|sQ79_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f1432])).
% 0.54/0.65 fof(f1434,plain,(
% 0.54/0.65 ~e1=e1|sQ79_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f1433])).
% 0.54/0.65 fof(f1435,plain,(
% 0.54/0.65 $false|sQ79_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1434])).
% 0.54/0.65 fof(f1436,plain,(
% 0.54/0.65 sQ79_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1435])).
% 0.54/0.65 fof(f1437,plain,(
% 0.54/0.65 ~op(e1,e1)=op(e2,op(e3,e1))|sQ80_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f612])).
% 0.54/0.65 fof(f1438,plain,(
% 0.54/0.65 ~e3=op(e2,op(e3,e1))|sQ80_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f1437])).
% 0.54/0.65 fof(f1439,plain,(
% 0.54/0.65 ~e3=op(e2,e2)|sQ80_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f1438])).
% 0.54/0.65 fof(f1440,plain,(
% 0.54/0.65 ~op(e1,e2)=op(e2,op(e3,e2))|sQ81_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f615])).
% 0.54/0.65 fof(f1441,plain,(
% 0.54/0.65 ~e0=op(e2,op(e3,e2))|sQ81_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f1440])).
% 0.54/0.65 fof(f1442,plain,(
% 0.54/0.65 ~e0=op(e2,e1)|sQ81_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f1441])).
% 0.54/0.65 fof(f1443,plain,(
% 0.54/0.65 ~e0=e0|sQ81_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f1442])).
% 0.54/0.65 fof(f1444,plain,(
% 0.54/0.65 $false|sQ81_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1443])).
% 0.54/0.65 fof(f1445,plain,(
% 0.54/0.65 sQ81_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1444])).
% 0.54/0.65 fof(f1446,plain,(
% 0.54/0.65 ~op(e1,e3)=op(e2,op(e3,e3))|sQ82_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f618])).
% 0.54/0.65 fof(f1447,plain,(
% 0.54/0.65 ~e2=op(e2,op(e3,e3))|sQ82_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f1446])).
% 0.54/0.65 fof(f1448,plain,(
% 0.54/0.65 ~e2=op(e2,e0)|sQ82_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f1447])).
% 0.54/0.65 fof(f1449,plain,(
% 0.54/0.65 ~e2=e2|sQ82_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f1448])).
% 0.54/0.65 fof(f1450,plain,(
% 0.54/0.65 $false|sQ82_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1449])).
% 0.54/0.65 fof(f1451,plain,(
% 0.54/0.65 sQ82_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1450])).
% 0.54/0.65 fof(f1452,plain,(
% 0.54/0.65 ~op(e3,e0)=op(e3,op(e0,e0))|sQ83_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f621])).
% 0.54/0.65 fof(f1453,plain,(
% 0.54/0.65 ~e3=op(e3,op(e0,e0))|sQ83_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f1452])).
% 0.54/0.65 fof(f1454,plain,(
% 0.54/0.65 ~e3=op(e3,e0)|sQ83_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1453])).
% 0.54/0.65 fof(f1455,plain,(
% 0.54/0.65 ~e3=e3|sQ83_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f1454])).
% 0.54/0.65 fof(f1456,plain,(
% 0.54/0.65 $false|sQ83_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1455])).
% 0.54/0.65 fof(f1457,plain,(
% 0.54/0.65 sQ83_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1456])).
% 0.54/0.65 fof(f1458,plain,(
% 0.54/0.65 ~op(e3,e1)=op(e3,op(e0,e1))|sQ84_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f624])).
% 0.54/0.65 fof(f1459,plain,(
% 0.54/0.65 ~e2=op(e3,op(e0,e1))|sQ84_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f1458])).
% 0.54/0.65 fof(f1460,plain,(
% 0.54/0.65 ~e2=op(e3,e1)|sQ84_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f1459])).
% 0.54/0.65 fof(f1461,plain,(
% 0.54/0.65 ~e2=e2|sQ84_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f1460])).
% 0.54/0.65 fof(f1462,plain,(
% 0.54/0.65 $false|sQ84_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1461])).
% 0.54/0.65 fof(f1463,plain,(
% 0.54/0.65 sQ84_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1462])).
% 0.54/0.65 fof(f1464,plain,(
% 0.54/0.65 ~op(e3,e2)=op(e3,op(e0,e2))|sQ85_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f627])).
% 0.54/0.65 fof(f1465,plain,(
% 0.54/0.65 ~e1=op(e3,op(e0,e2))|sQ85_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f1464])).
% 0.54/0.65 fof(f1466,plain,(
% 0.54/0.65 ~e1=op(e3,e2)|sQ85_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f1465])).
% 0.54/0.65 fof(f1467,plain,(
% 0.54/0.65 ~e1=e1|sQ85_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f1466])).
% 0.54/0.65 fof(f1468,plain,(
% 0.54/0.65 $false|sQ85_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1467])).
% 0.54/0.65 fof(f1469,plain,(
% 0.54/0.65 sQ85_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1468])).
% 0.54/0.65 fof(f1470,plain,(
% 0.54/0.65 ~op(e3,e3)=op(e3,op(e0,e3))|sQ86_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f630])).
% 0.54/0.65 fof(f1471,plain,(
% 0.54/0.65 ~e0=op(e3,op(e0,e3))|sQ86_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f1470])).
% 0.54/0.65 fof(f1472,plain,(
% 0.54/0.65 ~e0=op(e3,e3)|sQ86_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f1471])).
% 0.54/0.65 fof(f1473,plain,(
% 0.54/0.65 ~e0=e0|sQ86_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f1472])).
% 0.54/0.65 fof(f1474,plain,(
% 0.54/0.65 $false|sQ86_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1473])).
% 0.54/0.65 fof(f1475,plain,(
% 0.54/0.65 sQ86_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1474])).
% 0.54/0.65 fof(f1476,plain,(
% 0.54/0.65 ~op(e2,e0)=op(e3,op(e1,e0))|sQ87_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f633])).
% 0.54/0.65 fof(f1477,plain,(
% 0.54/0.65 ~e2=op(e3,op(e1,e0))|sQ87_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f1476])).
% 0.54/0.65 fof(f1478,plain,(
% 0.54/0.65 ~e2=op(e3,e1)|sQ87_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f1477])).
% 0.54/0.65 fof(f1479,plain,(
% 0.54/0.65 ~e2=e2|sQ87_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f1478])).
% 0.54/0.65 fof(f1480,plain,(
% 0.54/0.65 $false|sQ87_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1479])).
% 0.54/0.65 fof(f1481,plain,(
% 0.54/0.65 sQ87_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1480])).
% 0.54/0.65 fof(f1482,plain,(
% 0.54/0.65 ~op(e2,e1)=op(e3,op(e1,e1))|sQ88_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f636])).
% 0.54/0.65 fof(f1483,plain,(
% 0.54/0.65 ~e0=op(e3,op(e1,e1))|sQ88_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f1482])).
% 0.54/0.65 fof(f1484,plain,(
% 0.54/0.65 ~e0=op(e3,e3)|sQ88_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f1483])).
% 0.54/0.65 fof(f1485,plain,(
% 0.54/0.65 ~e0=e0|sQ88_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f1484])).
% 0.54/0.65 fof(f1486,plain,(
% 0.54/0.65 $false|sQ88_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1485])).
% 0.54/0.65 fof(f1487,plain,(
% 0.54/0.65 sQ88_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1486])).
% 0.54/0.65 fof(f1488,plain,(
% 0.54/0.65 ~op(e2,e2)=op(e3,op(e1,e2))|sQ89_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f639])).
% 0.54/0.65 fof(f1489,plain,(
% 0.54/0.65 ~op(e2,e2)=op(e3,e0)|sQ89_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f1488])).
% 0.54/0.65 fof(f1490,plain,(
% 0.54/0.65 ~op(e2,e2)=e3|sQ89_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f1489])).
% 0.54/0.65 fof(f1491,plain,(
% 0.54/0.65 ~op(e2,e3)=op(e3,op(e1,e3))|sQ90_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f642])).
% 0.54/0.65 fof(f1492,plain,(
% 0.54/0.65 ~e1=op(e3,op(e1,e3))|sQ90_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f1491])).
% 0.54/0.65 fof(f1493,plain,(
% 0.54/0.65 ~e1=op(e3,e2)|sQ90_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f1492])).
% 0.54/0.65 fof(f1494,plain,(
% 0.54/0.65 ~e1=e1|sQ90_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f1493])).
% 0.54/0.65 fof(f1495,plain,(
% 0.54/0.65 $false|sQ90_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1494])).
% 0.54/0.65 fof(f1496,plain,(
% 0.54/0.65 sQ90_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1495])).
% 0.54/0.65 fof(f1497,plain,(
% 0.54/0.65 ~op(e1,e0)=op(e3,op(e2,e0))|sQ91_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f645])).
% 0.54/0.65 fof(f1498,plain,(
% 0.54/0.65 ~e1=op(e3,op(e2,e0))|sQ91_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f1497])).
% 0.54/0.65 fof(f1499,plain,(
% 0.54/0.65 ~e1=op(e3,e2)|sQ91_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f1498])).
% 0.54/0.65 fof(f1500,plain,(
% 0.54/0.65 ~e1=e1|sQ91_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f1499])).
% 0.54/0.65 fof(f1501,plain,(
% 0.54/0.65 $false|sQ91_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1500])).
% 0.54/0.65 fof(f1502,plain,(
% 0.54/0.65 sQ91_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1501])).
% 0.54/0.65 fof(f1503,plain,(
% 0.54/0.65 ~op(e1,e1)=op(e3,op(e2,e1))|sQ92_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f648])).
% 0.54/0.65 fof(f1504,plain,(
% 0.54/0.65 ~e3=op(e3,op(e2,e1))|sQ92_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f18,f1503])).
% 0.54/0.65 fof(f1505,plain,(
% 0.54/0.65 ~e3=op(e3,e0)|sQ92_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f1504])).
% 0.54/0.65 fof(f1506,plain,(
% 0.54/0.65 ~e3=e3|sQ92_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f1505])).
% 0.54/0.65 fof(f1507,plain,(
% 0.54/0.65 $false|sQ92_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1506])).
% 0.54/0.65 fof(f1508,plain,(
% 0.54/0.65 sQ92_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1507])).
% 0.54/0.65 fof(f1509,plain,(
% 0.54/0.65 ~op(e1,e2)=op(e3,op(e2,e2))|sQ93_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f651])).
% 0.54/0.65 fof(f1510,plain,(
% 0.54/0.65 ~e0=op(e3,op(e2,e2))|sQ93_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f1509])).
% 0.54/0.65 fof(f1511,plain,(
% 0.54/0.65 ~op(e1,e3)=op(e3,op(e2,e3))|sQ94_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f654])).
% 0.54/0.65 fof(f1512,plain,(
% 0.54/0.65 ~e2=op(e3,op(e2,e3))|sQ94_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f1511])).
% 0.54/0.65 fof(f1513,plain,(
% 0.54/0.65 ~e2=op(e3,e1)|sQ94_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f1512])).
% 0.54/0.65 fof(f1514,plain,(
% 0.54/0.65 ~e2=e2|sQ94_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f1513])).
% 0.54/0.65 fof(f1515,plain,(
% 0.54/0.65 $false|sQ94_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1514])).
% 0.54/0.65 fof(f1516,plain,(
% 0.54/0.65 sQ94_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1515])).
% 0.54/0.65 fof(f1517,plain,(
% 0.54/0.65 ~op(e0,e0)=op(e3,op(e3,e0))|sQ95_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f657])).
% 0.54/0.65 fof(f1518,plain,(
% 0.54/0.65 ~e0=op(e3,op(e3,e0))|sQ95_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1517])).
% 0.54/0.65 fof(f1519,plain,(
% 0.54/0.65 ~e0=op(e3,e3)|sQ95_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f1518])).
% 0.54/0.65 fof(f1520,plain,(
% 0.54/0.65 ~e0=e0|sQ95_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f1519])).
% 0.54/0.65 fof(f1521,plain,(
% 0.54/0.65 $false|sQ95_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1520])).
% 0.54/0.65 fof(f1522,plain,(
% 0.54/0.65 sQ95_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1521])).
% 0.54/0.65 fof(f1523,plain,(
% 0.54/0.65 ~op(e0,e1)=op(e3,op(e3,e1))|sQ96_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f660])).
% 0.54/0.65 fof(f1524,plain,(
% 0.54/0.65 ~e1=op(e3,op(e3,e1))|sQ96_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f1523])).
% 0.54/0.65 fof(f1525,plain,(
% 0.54/0.65 ~e1=op(e3,e2)|sQ96_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f1524])).
% 0.54/0.65 fof(f1526,plain,(
% 0.54/0.65 ~e1=e1|sQ96_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f1525])).
% 0.54/0.65 fof(f1527,plain,(
% 0.54/0.65 $false|sQ96_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1526])).
% 0.54/0.65 fof(f1528,plain,(
% 0.54/0.65 sQ96_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1527])).
% 0.54/0.65 fof(f1529,plain,(
% 0.54/0.65 ~op(e0,e2)=op(e3,op(e3,e2))|sQ97_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f663])).
% 0.54/0.65 fof(f1530,plain,(
% 0.54/0.65 ~e2=op(e3,op(e3,e2))|sQ97_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f1529])).
% 0.54/0.65 fof(f1531,plain,(
% 0.54/0.65 ~e2=op(e3,e1)|sQ97_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f1530])).
% 0.54/0.65 fof(f1532,plain,(
% 0.54/0.65 ~e2=e2|sQ97_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f1531])).
% 0.54/0.65 fof(f1533,plain,(
% 0.54/0.65 $false|sQ97_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1532])).
% 0.54/0.65 fof(f1534,plain,(
% 0.54/0.65 sQ97_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1533])).
% 0.54/0.65 fof(f1535,plain,(
% 0.54/0.65 ~op(e0,e3)=op(e3,op(e3,e3))|sQ98_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f666])).
% 0.54/0.65 fof(f1536,plain,(
% 0.54/0.65 ~e3=op(e3,op(e3,e3))|sQ98_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f1535])).
% 0.54/0.65 fof(f1537,plain,(
% 0.54/0.65 ~e3=op(e3,e0)|sQ98_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f1536])).
% 0.54/0.65 fof(f1538,plain,(
% 0.54/0.65 ~e3=e3|sQ98_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f1537])).
% 0.54/0.65 fof(f1539,plain,(
% 0.54/0.65 $false|sQ98_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1538])).
% 0.54/0.65 fof(f1540,plain,(
% 0.54/0.65 sQ98_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1539])).
% 0.54/0.65 fof(f1541,plain,(
% 0.54/0.65 ~op(e0,e0)=e0|sQ99_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f29,f669])).
% 0.54/0.65 fof(f1542,plain,(
% 0.54/0.65 ~e0=e0|sQ99_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1541])).
% 0.54/0.65 fof(f1543,plain,(
% 0.54/0.65 $false|sQ99_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1542])).
% 0.54/0.65 fof(f1544,plain,(
% 0.54/0.65 sQ99_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1543])).
% 0.54/0.65 fof(f1545,plain,(
% 0.54/0.65 ~op(e0,e0)=e0|sQ100_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f29,f672])).
% 0.54/0.65 fof(f1546,plain,(
% 0.54/0.65 ~e0=e0|sQ100_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1545])).
% 0.54/0.65 fof(f1547,plain,(
% 0.54/0.65 $false|sQ100_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1546])).
% 0.54/0.65 fof(f1548,plain,(
% 0.54/0.65 sQ100_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1547])).
% 0.54/0.65 fof(f1549,plain,(
% 0.54/0.65 ~op(e0,e1)=e1|sQ101_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f29,f675])).
% 0.54/0.65 fof(f1550,plain,(
% 0.54/0.65 ~e1=e1|sQ101_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f1549])).
% 0.54/0.65 fof(f1551,plain,(
% 0.54/0.65 $false|sQ101_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1550])).
% 0.54/0.65 fof(f1552,plain,(
% 0.54/0.65 sQ101_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1551])).
% 0.54/0.65 fof(f1553,plain,(
% 0.54/0.65 ~op(e1,e0)=e1|sQ102_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f29,f678])).
% 0.54/0.65 fof(f1554,plain,(
% 0.54/0.65 ~e1=e1|sQ102_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f1553])).
% 0.54/0.65 fof(f1555,plain,(
% 0.54/0.65 $false|sQ102_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1554])).
% 0.54/0.65 fof(f1556,plain,(
% 0.54/0.65 sQ102_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1555])).
% 0.54/0.65 fof(f1557,plain,(
% 0.54/0.65 ~op(e0,e2)=e2|sQ103_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f29,f681])).
% 0.54/0.65 fof(f1558,plain,(
% 0.54/0.65 ~e2=e2|sQ103_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f1557])).
% 0.54/0.65 fof(f1559,plain,(
% 0.54/0.65 $false|sQ103_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1558])).
% 0.54/0.65 fof(f1560,plain,(
% 0.54/0.65 sQ103_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1559])).
% 0.54/0.65 fof(f1561,plain,(
% 0.54/0.65 ~op(e2,e0)=e2|sQ104_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f29,f684])).
% 0.54/0.65 fof(f1562,plain,(
% 0.54/0.65 ~e2=e2|sQ104_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f1561])).
% 0.54/0.65 fof(f1563,plain,(
% 0.54/0.65 $false|sQ104_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1562])).
% 0.54/0.65 fof(f1564,plain,(
% 0.54/0.65 sQ104_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1563])).
% 0.54/0.65 fof(f1565,plain,(
% 0.54/0.65 ~e3=e3|sQ106_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f1126])).
% 0.54/0.65 fof(f1566,plain,(
% 0.54/0.65 $false|sQ106_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1565])).
% 0.54/0.65 fof(f1567,plain,(
% 0.54/0.65 sQ106_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1566])).
% 0.54/0.65 fof(f1568,plain,(
% 0.54/0.65 ~op(e0,e0)=unit|sQ22_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f30,f424])).
% 0.54/0.65 fof(f1569,plain,(
% 0.54/0.65 ~e0=unit|sQ22_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1568])).
% 0.54/0.65 fof(f1570,plain,(
% 0.54/0.65 ~e0=e0|sQ22_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f29,f1569])).
% 0.54/0.65 fof(f1571,plain,(
% 0.54/0.65 $false|sQ22_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1570])).
% 0.54/0.65 fof(f1572,plain,(
% 0.54/0.65 sQ22_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1571])).
% 0.54/0.65 fof(f1573,plain,(
% 0.54/0.65 ~op(e0,e0)=unit|sQ23_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f30,f427])).
% 0.54/0.65 fof(f1574,plain,(
% 0.54/0.65 ~e0=unit|sQ23_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1573])).
% 0.54/0.65 fof(f1575,plain,(
% 0.54/0.65 ~e0=e0|sQ23_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f29,f1574])).
% 0.54/0.65 fof(f1576,plain,(
% 0.54/0.65 $false|sQ23_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1575])).
% 0.54/0.65 fof(f1577,plain,(
% 0.54/0.65 sQ23_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1576])).
% 0.54/0.65 fof(f1578,plain,(
% 0.54/0.65 ~op(e1,e2)=unit|sQ24_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f31,f430])).
% 0.54/0.65 fof(f1579,plain,(
% 0.54/0.65 ~e0=unit|sQ24_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f1578])).
% 0.54/0.65 fof(f1580,plain,(
% 0.54/0.65 ~e0=e0|sQ24_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f29,f1579])).
% 0.54/0.65 fof(f1581,plain,(
% 0.54/0.65 $false|sQ24_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1580])).
% 0.54/0.65 fof(f1582,plain,(
% 0.54/0.65 sQ24_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1581])).
% 0.54/0.65 fof(f1583,plain,(
% 0.54/0.65 ~op(e2,e1)=unit|sQ25_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f31,f433])).
% 0.54/0.65 fof(f1584,plain,(
% 0.54/0.65 ~e0=unit|sQ25_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f1583])).
% 0.54/0.65 fof(f1585,plain,(
% 0.54/0.65 ~e0=e0|sQ25_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f29,f1584])).
% 0.54/0.65 fof(f1586,plain,(
% 0.54/0.65 $false|sQ25_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1585])).
% 0.54/0.65 fof(f1587,plain,(
% 0.54/0.65 sQ25_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1586])).
% 0.54/0.65 fof(f1588,plain,(
% 0.54/0.65 ~op(e2,e1)=unit|sQ26_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f32,f436])).
% 0.54/0.65 fof(f1589,plain,(
% 0.54/0.65 ~e0=unit|sQ26_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f1588])).
% 0.54/0.65 fof(f1590,plain,(
% 0.54/0.65 ~e0=e0|sQ26_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f29,f1589])).
% 0.54/0.65 fof(f1591,plain,(
% 0.54/0.65 $false|sQ26_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1590])).
% 0.54/0.65 fof(f1592,plain,(
% 0.54/0.65 sQ26_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1591])).
% 0.54/0.65 fof(f1593,plain,(
% 0.54/0.65 ~op(e1,e2)=unit|sQ27_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f32,f439])).
% 0.54/0.65 fof(f1594,plain,(
% 0.54/0.65 ~e0=unit|sQ27_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f1593])).
% 0.54/0.65 fof(f1595,plain,(
% 0.54/0.65 ~e0=e0|sQ27_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f29,f1594])).
% 0.54/0.65 fof(f1596,plain,(
% 0.54/0.65 $false|sQ27_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1595])).
% 0.54/0.65 fof(f1597,plain,(
% 0.54/0.65 sQ27_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1596])).
% 0.54/0.65 fof(f1598,plain,(
% 0.54/0.65 ~op(e3,e3)=unit|sQ28_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f33,f442])).
% 0.54/0.65 fof(f1599,plain,(
% 0.54/0.65 ~e0=unit|sQ28_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f1598])).
% 0.54/0.65 fof(f1600,plain,(
% 0.54/0.65 ~e0=e0|sQ28_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f29,f1599])).
% 0.54/0.65 fof(f1601,plain,(
% 0.54/0.65 $false|sQ28_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1600])).
% 0.54/0.65 fof(f1602,plain,(
% 0.54/0.65 sQ28_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1601])).
% 0.54/0.65 fof(f1603,plain,(
% 0.54/0.65 ~op(e3,e3)=unit|sQ29_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f33,f445])).
% 0.54/0.65 fof(f1604,plain,(
% 0.54/0.65 ~e0=unit|sQ29_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f1603])).
% 0.54/0.65 fof(f1605,plain,(
% 0.54/0.65 ~e0=e0|sQ29_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f29,f1604])).
% 0.54/0.65 fof(f1606,plain,(
% 0.54/0.65 $false|sQ29_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1605])).
% 0.54/0.65 fof(f1607,plain,(
% 0.54/0.65 sQ29_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1606])).
% 0.54/0.65 fof(f1609,plain,(
% 0.54/0.65 e0=e1|~sQ182_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1080])).
% 0.54/0.65 fof(f1610,plain,(
% 0.54/0.65 $false|~sQ182_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1609,f7])).
% 0.54/0.65 fof(f1611,plain,(
% 0.54/0.65 ~sQ182_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1610])).
% 0.54/0.65 fof(f1615,plain,(
% 0.54/0.65 e0=e3|~sQ184_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1088])).
% 0.54/0.65 fof(f1616,plain,(
% 0.54/0.65 $false|~sQ184_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1615,f9])).
% 0.54/0.65 fof(f1617,plain,(
% 0.54/0.65 ~sQ184_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1616])).
% 0.54/0.65 fof(f1907,plain,(
% 0.54/0.65 ~e3=e3|sQ134_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f23,f879])).
% 0.54/0.65 fof(f1908,plain,(
% 0.54/0.65 $false|sQ134_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1907])).
% 0.54/0.65 fof(f1909,plain,(
% 0.54/0.65 sQ134_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1908])).
% 0.54/0.65 fof(f1910,plain,(
% 0.54/0.65 ~e3=op(e0,op(e2,e2))|sQ45_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f23,f1263])).
% 0.54/0.65 fof(f1911,plain,(
% 0.54/0.65 ~e3=op(e0,e3)|sQ45_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f23,f1910])).
% 0.54/0.65 fof(f1912,plain,(
% 0.54/0.65 ~e2=op(e1,e3)|sQ61_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f23,f1355])).
% 0.54/0.65 fof(f1913,plain,(
% 0.54/0.65 ~sQ134_spl|sQ65_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f1376,f877,f565])).
% 0.54/0.65 fof(f1914,plain,(
% 0.54/0.65 ~sQ134_spl|sQ74_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f1425,f877,f592])).
% 0.54/0.65 fof(f1915,plain,(
% 0.54/0.65 ~op(e3,e0)=op(e2,e2)|sQ75_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f23,f1426])).
% 0.54/0.65 fof(f1916,plain,(
% 0.54/0.65 ~e3=op(e2,e2)|sQ75_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f1915])).
% 0.54/0.65 fof(f1917,plain,(
% 0.54/0.65 ~e3=e3|sQ75_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f23,f1916])).
% 0.54/0.65 fof(f1918,plain,(
% 0.54/0.65 $false|sQ75_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1917])).
% 0.54/0.65 fof(f1919,plain,(
% 0.54/0.65 sQ75_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1918])).
% 0.54/0.65 fof(f1920,plain,(
% 0.54/0.65 ~op(e3,e1)=e2|sQ76_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f23,f1428])).
% 0.54/0.65 fof(f1921,plain,(
% 0.54/0.65 ~e2=e2|sQ76_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f1920])).
% 0.54/0.65 fof(f1922,plain,(
% 0.54/0.65 $false|sQ76_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1921])).
% 0.54/0.65 fof(f1923,plain,(
% 0.54/0.65 sQ76_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1922])).
% 0.54/0.65 fof(f1924,plain,(
% 0.54/0.65 ~op(e3,e3)=e0|sQ78_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f23,f1430])).
% 0.54/0.65 fof(f1925,plain,(
% 0.54/0.65 ~e0=e0|sQ78_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f1924])).
% 0.54/0.65 fof(f1926,plain,(
% 0.54/0.65 $false|sQ78_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1925])).
% 0.54/0.65 fof(f1927,plain,(
% 0.54/0.65 sQ78_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1926])).
% 0.54/0.65 fof(f1928,plain,(
% 0.54/0.65 ~sQ134_spl|sQ80_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f1439,f877,f610])).
% 0.54/0.65 fof(f1929,plain,(
% 0.54/0.65 ~sQ134_spl|sQ89_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f1490,f877,f637])).
% 0.54/0.65 fof(f1930,plain,(
% 0.54/0.65 ~e0=op(e3,e3)|sQ93_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f23,f1510])).
% 0.54/0.65 fof(f1931,plain,(
% 0.54/0.65 ~e0=e0|sQ93_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f1930])).
% 0.54/0.65 fof(f1932,plain,(
% 0.54/0.65 $false|sQ93_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1931])).
% 0.54/0.65 fof(f1933,plain,(
% 0.54/0.65 sQ93_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1932])).
% 0.54/0.65 fof(f1934,plain,(
% 0.54/0.65 ~op(e3,e2)=op(e2,op(e2,e2))|sQ77_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f23,f603])).
% 0.54/0.65 fof(f1935,plain,(
% 0.54/0.65 ~op(e3,e2)=op(e2,e3)|sQ77_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f23,f1934])).
% 0.54/0.65 fof(f1936,plain,(
% 0.54/0.65 ~op(e3,e2)=e1|sQ77_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f1935])).
% 0.54/0.65 fof(f1939,plain,(
% 0.54/0.65 op(e0,e3)=op(e2,op(e1,e3))|~sQ74_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f593])).
% 0.54/0.65 fof(f1971,plain,(
% 0.54/0.65 ~e2=e2|sQ61_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f1912])).
% 0.54/0.65 fof(f1972,plain,(
% 0.54/0.65 $false|sQ61_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1971])).
% 0.54/0.65 fof(f1973,plain,(
% 0.54/0.65 sQ61_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1972])).
% 0.54/0.65 fof(f1977,plain,(
% 0.54/0.65 ~e1=e1|sQ77_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f1936])).
% 0.54/0.65 fof(f1978,plain,(
% 0.54/0.65 $false|sQ77_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1977])).
% 0.54/0.65 fof(f1979,plain,(
% 0.54/0.65 sQ77_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1978])).
% 0.54/0.65 fof(f1987,plain,(
% 0.54/0.65 op(e2,e2)=op(e1,op(e3,e2))|~sQ65_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f566])).
% 0.54/0.65 fof(f1988,plain,(
% 0.54/0.65 e3=op(e1,op(e3,e2))|~sQ65_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f23,f1987])).
% 0.54/0.65 fof(f1989,plain,(
% 0.54/0.65 e3=op(e1,e1)|~sQ65_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f1988])).
% 0.54/0.65 fof(f1990,plain,(
% 0.54/0.65 op(e0,e3)=op(e2,e2)|~sQ74_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f1939])).
% 0.54/0.65 fof(f1991,plain,(
% 0.54/0.65 op(e0,e3)=e3|~sQ74_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f23,f1990])).
% 0.54/0.65 fof(f1992,plain,(
% 0.54/0.65 $false|sQ45_spl|~sQ74_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1991,f1911])).
% 0.54/0.65 fof(f1993,plain,(
% 0.54/0.65 sQ45_spl|~sQ74_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1992])).
% 0.54/0.65 fof(f1997,plain,(
% 0.54/0.65 ~e0=e0|sQ181_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f13,f1077])).
% 0.54/0.65 fof(f1998,plain,(
% 0.54/0.65 $false|sQ181_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f1997])).
% 0.54/0.65 fof(f1999,plain,(
% 0.54/0.65 sQ181_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1998])).
% 0.54/0.65 fof(f2000,plain,(
% 0.54/0.65 ~e1=e1|sQ177_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f14,f1060])).
% 0.54/0.65 fof(f2001,plain,(
% 0.54/0.65 $false|sQ177_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2000])).
% 0.54/0.65 fof(f2002,plain,(
% 0.54/0.65 sQ177_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2001])).
% 0.54/0.65 fof(f2003,plain,(
% 0.54/0.65 ~e2=e2|sQ173_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f15,f1043])).
% 0.54/0.65 fof(f2004,plain,(
% 0.54/0.65 $false|sQ173_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2003])).
% 0.54/0.65 fof(f2005,plain,(
% 0.54/0.65 sQ173_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2004])).
% 0.54/0.65 fof(f2010,plain,(
% 0.54/0.65 ~e3=e3|sQ169_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f16,f1026])).
% 0.54/0.65 fof(f2011,plain,(
% 0.54/0.65 $false|sQ169_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2010])).
% 0.54/0.65 fof(f2012,plain,(
% 0.54/0.65 sQ169_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2011])).
% 0.54/0.65 fof(f2013,plain,(
% 0.54/0.65 ~e1=e1|sQ162_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f17,f997])).
% 0.54/0.65 fof(f2014,plain,(
% 0.54/0.65 $false|sQ162_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2013])).
% 0.54/0.65 fof(f2015,plain,(
% 0.54/0.65 sQ162_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2014])).
% 0.54/0.65 fof(f2016,plain,(
% 0.54/0.65 ~e3=e3|~sQ65_spl|sQ159_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f1989,f984])).
% 0.54/0.65 fof(f2017,plain,(
% 0.54/0.65 $false|~sQ65_spl|sQ159_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2016])).
% 0.54/0.65 fof(f2018,plain,(
% 0.54/0.65 ~sQ65_spl|sQ159_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2017])).
% 0.54/0.65 fof(f2020,plain,(
% 0.54/0.65 ~e1=e1|sQ7_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f32,f362])).
% 0.54/0.65 fof(f2021,plain,(
% 0.54/0.65 $false|sQ7_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2020])).
% 0.54/0.65 fof(f2022,plain,(
% 0.54/0.65 sQ7_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2021])).
% 0.54/0.65 fof(f2037,plain,(
% 0.54/0.65 ~e2=e2|sQ13_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f31,f387])).
% 0.54/0.65 fof(f2038,plain,(
% 0.54/0.65 $false|sQ13_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2037])).
% 0.54/0.65 fof(f2039,plain,(
% 0.54/0.65 sQ13_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2038])).
% 0.54/0.65 fof(f2050,plain,(
% 0.54/0.65 ~e0=e0|sQ16_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f30,f400])).
% 0.54/0.65 fof(f2051,plain,(
% 0.54/0.65 $false|sQ16_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2050])).
% 0.54/0.65 fof(f2052,plain,(
% 0.54/0.65 sQ16_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2051])).
% 0.54/0.65 fof(f2058,plain,(
% 0.54/0.65 ~e0=e0|sQ21_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f29,f421])).
% 0.54/0.65 fof(f2059,plain,(
% 0.54/0.65 $false|sQ21_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2058])).
% 0.54/0.65 fof(f2060,plain,(
% 0.54/0.65 sQ21_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2059])).
% 0.54/0.65 fof(f2062,plain,(
% 0.54/0.65 ~e0=e0|sQ151_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f19,f951])).
% 0.54/0.65 fof(f2063,plain,(
% 0.54/0.65 $false|sQ151_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2062])).
% 0.54/0.65 fof(f2064,plain,(
% 0.54/0.65 sQ151_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2063])).
% 0.54/0.65 fof(f2065,plain,(
% 0.54/0.65 ~e2=e2|sQ148_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f20,f938])).
% 0.54/0.65 fof(f2066,plain,(
% 0.54/0.65 $false|sQ148_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2065])).
% 0.54/0.65 fof(f2067,plain,(
% 0.54/0.65 sQ148_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2066])).
% 0.54/0.65 fof(f2068,plain,(
% 0.54/0.65 ~e2=e2|sQ143_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f21,f917])).
% 0.54/0.65 fof(f2069,plain,(
% 0.54/0.65 $false|sQ143_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2068])).
% 0.54/0.65 fof(f2070,plain,(
% 0.54/0.65 sQ143_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2069])).
% 0.54/0.65 fof(f2071,plain,(
% 0.54/0.65 ~e0=e0|sQ136_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f22,f888])).
% 0.54/0.65 fof(f2072,plain,(
% 0.54/0.65 $false|sQ136_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2071])).
% 0.54/0.65 fof(f2073,plain,(
% 0.54/0.65 sQ136_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2072])).
% 0.54/0.65 fof(f2074,plain,(
% 0.54/0.65 ~e1=e1|sQ127_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f24,f850])).
% 0.54/0.65 fof(f2075,plain,(
% 0.54/0.65 $false|sQ127_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2074])).
% 0.54/0.65 fof(f2076,plain,(
% 0.54/0.65 sQ127_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2075])).
% 0.54/0.65 fof(f2077,plain,(
% 0.54/0.65 ~e3=e3|sQ124_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f25,f837])).
% 0.54/0.65 fof(f2078,plain,(
% 0.54/0.65 $false|sQ124_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2077])).
% 0.54/0.65 fof(f2079,plain,(
% 0.54/0.65 sQ124_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2078])).
% 0.54/0.65 fof(f2082,plain,(
% 0.54/0.65 ~e2=e2|sQ118_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f26,f812])).
% 0.54/0.65 fof(f2083,plain,(
% 0.54/0.65 $false|sQ118_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2082])).
% 0.54/0.65 fof(f2084,plain,(
% 0.54/0.65 sQ118_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2083])).
% 0.54/0.65 fof(f2085,plain,(
% 0.54/0.65 ~e1=e1|sQ112_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f27,f787])).
% 0.54/0.65 fof(f2086,plain,(
% 0.54/0.65 $false|sQ112_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2085])).
% 0.54/0.65 fof(f2087,plain,(
% 0.54/0.65 sQ112_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2086])).
% 0.54/0.65 fof(f2088,plain,(
% 0.54/0.65 ~e0=e0|sQ34_spl),
% 0.54/0.65 inference(forward_demodulation,[status(thm)],[f28,f474])).
% 0.54/0.65 fof(f2089,plain,(
% 0.54/0.65 $false|sQ34_spl),
% 0.54/0.65 inference(trivial_equality_resolution,[status(thm)],[f2088])).
% 0.54/0.65 fof(f2090,plain,(
% 0.54/0.65 sQ34_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f2089])).
% 0.54/0.65 fof(f2091,plain,(
% 0.54/0.65 $false),
% 0.54/0.65 inference(sat_refutation,[status(thm)],[f352,f363,f388,f401,f446,f691,f788,f813,f838,f851,f880,f889,f918,f939,f952,f985,f998,f1027,f1044,f1061,f1078,f1096,f1105,f1114,f1122,f1129,f1133,f1139,f1145,f1208,f1214,f1220,f1226,f1232,f1238,f1244,f1250,f1256,f1262,f1269,f1275,f1281,f1287,f1293,f1299,f1305,f1311,f1317,f1323,f1329,f1335,f1341,f1347,f1353,f1361,f1367,f1373,f1382,f1388,f1394,f1398,f1404,f1410,f1416,f1422,f1436,f1445,f1451,f1457,f1463,f1469,f1475,f1481,f1487,f1496,f1502,f1508,f1516,f1522,f1528,f1534,f1540,f1544,f1548,f1552,f1556,f1560,f1564,f1567,f1572,f1577,f1582,f1587,f1592,f1597,f1602,f1607,f1611,f1617,f1909,f1913,f1914,f1919,f1923,f1927,f1928,f1929,f1933,f1973,f1979,f1993,f1999,f2002,f2005,f2012,f2015,f2018,f2022,f2039,f2052,f2060,f2064,f2067,f2070,f2073,f2076,f2079,f2084,f2087,f2090])).
% 0.54/0.65 % SZS output end CNFRefutation for theBenchmark.p
% 0.54/0.65 % Elapsed time: 0.196109 seconds
% 0.54/0.65 % CPU time: 0.703073 seconds
% 0.54/0.65 % Total memory used: 123.142 MB
% 0.54/0.65 % Net memory used: 122.751 MB
%------------------------------------------------------------------------------