TSTP Solution File: GEO445+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO445+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:08:56 EDT 2023
% Result : Theorem 20.06s 4.17s
% Output : CNFRefutation 21.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO445+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n031.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 12:23:22 EDT 2023
% 0.09/0.30 % CPUTime :
% 1.45/1.67 % Drodi V3.5.1
% 20.06/4.17 % Refutation found
% 20.06/4.17 % SZS status Theorem for theBenchmark: Theorem is valid
% 20.06/4.17 % SZS output start CNFRefutation for theBenchmark
% 20.06/4.17 fof(f9,axiom,(
% 20.06/4.17 ( p(s(bool,f0))<=> (! [P0] : p(s(bool,P0)) )) ),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f10,axiom,(
% 20.06/4.17 (! [X] :( ~ p(s(bool,X))<=> ( p(s(bool,X))=> p(s(bool,f0)) ) ) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f15,axiom,(
% 20.06/4.17 (! [A,X] :( s(A,X) = s(A,X)<=> p(s(bool,t)) ) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f44,axiom,(
% 20.06/4.17 ( ~ p(s(bool,f0))<=> p(s(bool,t)) ) ),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f49,axiom,(
% 20.06/4.17 (! [A,P0] :( ( (? [X] : p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))& (! [X,XI_] :( ( p(s(bool,i(s(fun(A,bool),P0),s(A,X))))& p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))) )=> s(A,X) = s(A,XI_) ) ))<=> ( (? [X] : p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))& (! [X,XI_] :( ( p(s(bool,i(s(fun(A,bool),P0),s(A,X))))& p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))) )=> s(A,X) = s(A,XI_) ) )) ) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f82,axiom,(
% 20.06/4.17 (! [A,P0] :( ( (? [X] : p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))& (! [X,XI_] :( ( p(s(bool,i(s(fun(A,bool),P0),s(A,X))))& p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))) )=> s(A,X) = s(A,XI_) ) ))<=> (? [X] :( p(s(bool,i(s(fun(A,bool),P0),s(A,X))))& (! [Y] :( p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))=> s(A,Y) = s(A,X) ) )) )) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f199,axiom,(
% 20.06/4.17 ( s(num,u_0) = s(num,u_0)<=> p(s(bool,t)) ) ),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f568,axiom,(
% 20.06/4.17 (! [N0] :( s(num,i(s(fun(num,num),bit1),s(num,N0))) = s(num,u_0)<=> p(s(bool,f0)) ) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f572,axiom,(
% 20.06/4.17 (! [M0,N0] :( s(num,i(s(fun(num,num),bit0),s(num,M0))) = s(num,i(s(fun(num,num),bit1),s(num,N0)))<=> p(s(bool,f0)) ) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f2041,axiom,(
% 20.06/4.17 (! [Q58981,P0] :( (! [X] :( p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,X))),s(fun(Q58981,bool),empty))))=> p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,X)))) ))<=> p(s(bool,t)) ) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f2043,axiom,(
% 20.06/4.17 (! [Q59041,P0] :( (? [X] :( p(s(bool,i(s(fun(fun(Q59041,bool),bool),i(s(fun(Q59041,fun(fun(Q59041,bool),bool)),in),s(Q59041,X))),s(fun(Q59041,bool),empty))))& p(s(bool,i(s(fun(Q59041,bool),P0),s(Q59041,X)))) ))<=> p(s(bool,f0)) ) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f2377,axiom,(
% 20.06/4.17 (! [B,A,R0] :( p(s(bool,t))<=> s(fun(finite_image(B),A),i(s(fun(cart(A,B),fun(finite_image(B),A)),destu_cart),s(cart(A,B),i(s(fun(fun(finite_image(B),A),cart(A,B)),mku_cart),s(fun(finite_image(B),A),R0))))) = s(fun(finite_image(B),A),R0) ) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f2479,axiom,(
% 20.06/4.17 (! [A,L] :( p(s(bool,i(s(fun(fun(prod(A,A),bool),bool),woset),s(fun(prod(A,A),bool),L))))<=> ( (! [X,Y] :( ( p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,X))),s(A,Y))))))& p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,Y))),s(A,X)))))) )=> s(A,X) = s(A,Y) ))& (! [P0] :( ( (! [X] :( p(s(bool,i(s(fun(A,bool),P0),s(A,X))))=> p(s(bool,i(s(fun(A,bool),i(s(fun(fun(prod(A,A),bool),fun(A,bool)),fl),s(fun(prod(A,A),bool),L))),s(A,X)))) ))& (? [X] : p(s(bool,i(s(fun(A,bool),P0),s(A,X)))) ))=> (? [Y] :( p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))& (! [Z0] :( p(s(bool,i(s(fun(A,bool),P0),s(A,Z0))))=> p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,Y))),s(A,Z0)))))) ) )) )) )) ) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f2524,axiom,(
% 20.06/4.17 (! [Q87739,Q87740] :( (? [X] : p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,X))),s(fun(Q87740,bool),s0)))))=> ( (! [X,Y] :( ( p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,X))),s(fun(Q87740,bool),s0))))& p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,Y))),s(fun(Q87740,bool),s0))))& s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,X))) = s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,Y))) )=> s(Q87740,X) = s(Q87740,Y) ))<=> (? [G0] :( (! [Y] :( p(s(bool,i(s(fun(fun(Q87739,bool),bool),i(s(fun(Q87739,fun(fun(Q87739,bool),bool)),in),s(Q87739,Y))),s(fun(Q87739,bool),t0))))=> p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,i(s(fun(Q87739,Q87740),G0),s(Q87739,Y))))),s(fun(Q87740,bool),s0)))) ))& (! [X] :( p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,X))),s(fun(Q87740,bool),s0))))=> s(Q87740,i(s(fun(Q87739,Q87740),G0),s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,X))))) = s(Q87740,X) ) )) )) ) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f2796,axiom,(
% 20.06/4.17 (! [Q100205,X,Y] : s(real,i(s(fun(cart(real,Q100205),real),i(s(fun(cart(real,Q100205),fun(cart(real,Q100205),real)),dot),s(cart(real,Q100205),X))),s(cart(real,Q100205),Y))) = s(real,i(s(fun(cart(real,Q100205),real),i(s(fun(cart(real,Q100205),fun(cart(real,Q100205),real)),dot),s(cart(real,Q100205),Y))),s(cart(real,Q100205),X))) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f2876,axiom,(
% 20.06/4.17 (! [Q103311,Q103313,X,Y] :( s(real,i(s(fun(cart(real,Q103311),real),vectoru_norm),s(cart(real,Q103311),X))) = s(real,i(s(fun(cart(real,Q103313),real),vectoru_norm),s(cart(real,Q103313),Y)))<=> s(real,i(s(fun(cart(real,Q103311),real),i(s(fun(cart(real,Q103311),fun(cart(real,Q103311),real)),dot),s(cart(real,Q103311),X))),s(cart(real,Q103311),X))) = s(real,i(s(fun(cart(real,Q103313),real),i(s(fun(cart(real,Q103313),fun(cart(real,Q103313),real)),dot),s(cart(real,Q103313),Y))),s(cart(real,Q103313),Y))) ) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f2880,axiom,(
% 20.06/4.17 (! [N,X] :( s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X))) = s(real,a0)<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))& s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),X))) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) ) ) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f2889,axiom,(
% 20.06/4.17 (! [Q104636,X,Y] :( s(cart(real,Q104636),X) = s(cart(real,Q104636),Y)<=> ( s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),X))) = s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),Y)))& s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),Y))),s(cart(real,Q104636),Y))) = s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),X))) ) ) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f3003,conjecture,(
% 20.06/4.17 (! [Q110616,X,Y] :( (! [Z0] : s(real,i(s(fun(cart(real,Q110616),real),i(s(fun(cart(real,Q110616),fun(cart(real,Q110616),real)),dot),s(cart(real,Q110616),X))),s(cart(real,Q110616),Z0))) = s(real,i(s(fun(cart(real,Q110616),real),i(s(fun(cart(real,Q110616),fun(cart(real,Q110616),real)),dot),s(cart(real,Q110616),Y))),s(cart(real,Q110616),Z0))))<=> s(cart(real,Q110616),X) = s(cart(real,Q110616),Y) ) )),
% 20.06/4.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.06/4.17 fof(f3004,negated_conjecture,(
% 20.06/4.17 ~((! [Q110616,X,Y] :( (! [Z0] : s(real,i(s(fun(cart(real,Q110616),real),i(s(fun(cart(real,Q110616),fun(cart(real,Q110616),real)),dot),s(cart(real,Q110616),X))),s(cart(real,Q110616),Z0))) = s(real,i(s(fun(cart(real,Q110616),real),i(s(fun(cart(real,Q110616),fun(cart(real,Q110616),real)),dot),s(cart(real,Q110616),Y))),s(cart(real,Q110616),Z0))))<=> s(cart(real,Q110616),X) = s(cart(real,Q110616),Y) ) ))),
% 20.06/4.17 inference(negated_conjecture,[status(cth)],[f3003])).
% 20.06/4.17 fof(f3044,plain,(
% 20.06/4.17 (~p(s(bool,f0))|(![P0]: p(s(bool,P0))))&(p(s(bool,f0))|(?[P0]: ~p(s(bool,P0))))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f9])).
% 20.06/4.17 fof(f3045,plain,(
% 20.06/4.17 (~p(s(bool,f0))|(![P0]: p(s(bool,P0))))&(p(s(bool,f0))|~p(s(bool,sk0_5)))),
% 20.06/4.17 inference(skolemization,[status(esa)],[f3044])).
% 20.06/4.17 fof(f3047,plain,(
% 20.06/4.17 p(s(bool,f0))|~p(s(bool,sk0_5))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f3045])).
% 20.06/4.17 fof(f3048,plain,(
% 20.06/4.17 ![X]: (~p(s(bool,X))<=>(~p(s(bool,X))|p(s(bool,f0))))),
% 20.06/4.17 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 20.06/4.17 fof(f3049,plain,(
% 20.06/4.17 ![X]: ((p(s(bool,X))|(~p(s(bool,X))|p(s(bool,f0))))&(~p(s(bool,X))|(p(s(bool,X))&~p(s(bool,f0)))))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f3048])).
% 20.06/4.17 fof(f3050,plain,(
% 20.06/4.17 (![X]: (p(s(bool,X))|(~p(s(bool,X))|p(s(bool,f0)))))&(![X]: (~p(s(bool,X))|(p(s(bool,X))&~p(s(bool,f0)))))),
% 20.06/4.17 inference(miniscoping,[status(esa)],[f3049])).
% 20.06/4.17 fof(f3051,plain,(
% 20.06/4.17 ![X0]: (p(s(bool,X0))|~p(s(bool,X0))|p(s(bool,f0)))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f3050])).
% 20.06/4.17 fof(f3065,plain,(
% 20.06/4.17 ![A,X]: ((~s(A,X)=s(A,X)|p(s(bool,t)))&(s(A,X)=s(A,X)|~p(s(bool,t))))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f15])).
% 20.06/4.17 fof(f3066,plain,(
% 20.06/4.17 ((![A,X]: ~s(A,X)=s(A,X))|p(s(bool,t)))&((![A,X]: s(A,X)=s(A,X))|~p(s(bool,t)))),
% 20.06/4.17 inference(miniscoping,[status(esa)],[f3065])).
% 20.06/4.17 fof(f3067,plain,(
% 20.06/4.17 ![X0,X1]: (~s(X0,X1)=s(X0,X1)|p(s(bool,t)))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f3066])).
% 20.06/4.17 fof(f3068,plain,(
% 20.06/4.17 ![X0,X1]: (s(X0,X1)=s(X0,X1)|~p(s(bool,t)))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f3066])).
% 20.06/4.17 fof(f3224,plain,(
% 20.06/4.17 (p(s(bool,f0))|p(s(bool,t)))&(~p(s(bool,f0))|~p(s(bool,t)))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f44])).
% 20.06/4.17 fof(f3226,plain,(
% 20.06/4.17 ~p(s(bool,f0))|~p(s(bool,t))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f3224])).
% 20.06/4.17 fof(f3282,plain,(
% 20.06/4.17 ![A,P0]: (((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X,XI_]: ((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_))))<=>((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X,XI_]: ((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_)))))),
% 20.06/4.17 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 20.06/4.17 fof(f3283,plain,(
% 20.06/4.17 ![A,P0,X,XI_]: (pd0_4(XI_,X,P0,A)<=>((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_)))),
% 20.06/4.17 introduced(predicate_definition,[f3282])).
% 20.06/4.17 fof(f3284,plain,(
% 20.06/4.17 ![A,P0,X,XI_]: (pd0_5(XI_,X,P0,A)<=>((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_)))),
% 20.06/4.17 introduced(predicate_definition,[f3282])).
% 20.06/4.17 fof(f3508,plain,(
% 20.06/4.17 ![A,P0]: (((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X,XI_]: ((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_))))<=>(?[X]: (p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&(![Y]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|s(A,Y)=s(A,X))))))),
% 20.06/4.17 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 20.06/4.17 fof(f3509,plain,(
% 20.06/4.17 ![A,P0,X,XI_]: (pd0_7(XI_,X,P0,A)<=>((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_)))),
% 20.06/4.17 introduced(predicate_definition,[f3508])).
% 20.06/4.17 fof(f4018,plain,(
% 20.06/4.17 (~s(num,u_0)=s(num,u_0)|p(s(bool,t)))&(s(num,u_0)=s(num,u_0)|~p(s(bool,t)))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f199])).
% 20.06/4.17 fof(f4020,plain,(
% 20.06/4.17 s(num,u_0)=s(num,u_0)|~p(s(bool,t))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f4018])).
% 20.06/4.17 fof(f5013,plain,(
% 20.06/4.17 ![N0]: ((~s(num,i(s(fun(num,num),bit1),s(num,N0)))=s(num,u_0)|p(s(bool,f0)))&(s(num,i(s(fun(num,num),bit1),s(num,N0)))=s(num,u_0)|~p(s(bool,f0))))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f568])).
% 20.06/4.17 fof(f5014,plain,(
% 20.06/4.17 ((![N0]: ~s(num,i(s(fun(num,num),bit1),s(num,N0)))=s(num,u_0))|p(s(bool,f0)))&((![N0]: s(num,i(s(fun(num,num),bit1),s(num,N0)))=s(num,u_0))|~p(s(bool,f0)))),
% 20.06/4.17 inference(miniscoping,[status(esa)],[f5013])).
% 20.06/4.17 fof(f5015,plain,(
% 20.06/4.17 ![X0]: (~s(num,i(s(fun(num,num),bit1),s(num,X0)))=s(num,u_0)|p(s(bool,f0)))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f5014])).
% 20.06/4.17 fof(f5029,plain,(
% 20.06/4.17 ![M0,N0]: ((~s(num,i(s(fun(num,num),bit0),s(num,M0)))=s(num,i(s(fun(num,num),bit1),s(num,N0)))|p(s(bool,f0)))&(s(num,i(s(fun(num,num),bit0),s(num,M0)))=s(num,i(s(fun(num,num),bit1),s(num,N0)))|~p(s(bool,f0))))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f572])).
% 20.06/4.17 fof(f5030,plain,(
% 20.06/4.17 ((![M0,N0]: ~s(num,i(s(fun(num,num),bit0),s(num,M0)))=s(num,i(s(fun(num,num),bit1),s(num,N0))))|p(s(bool,f0)))&((![M0,N0]: s(num,i(s(fun(num,num),bit0),s(num,M0)))=s(num,i(s(fun(num,num),bit1),s(num,N0))))|~p(s(bool,f0)))),
% 20.06/4.17 inference(miniscoping,[status(esa)],[f5029])).
% 20.06/4.17 fof(f5031,plain,(
% 20.06/4.17 ![X0,X1]: (~s(num,i(s(fun(num,num),bit0),s(num,X0)))=s(num,i(s(fun(num,num),bit1),s(num,X1)))|p(s(bool,f0)))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f5030])).
% 20.06/4.17 fof(f9329,plain,(
% 20.06/4.17 ![Q58981,P0]: ((![X]: (~p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,X))),s(fun(Q58981,bool),empty))))|p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,X))))))<=>p(s(bool,t)))),
% 20.06/4.17 inference(pre_NNF_transformation,[status(esa)],[f2041])).
% 20.06/4.17 fof(f9330,plain,(
% 20.06/4.17 ![Q58981,P0]: (((?[X]: (p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,X))),s(fun(Q58981,bool),empty))))&~p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,X))))))|p(s(bool,t)))&((![X]: (~p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,X))),s(fun(Q58981,bool),empty))))|p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,X))))))|~p(s(bool,t))))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f9329])).
% 20.06/4.17 fof(f9331,plain,(
% 20.06/4.17 ((![Q58981,P0]: ?[X]: (p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,X))),s(fun(Q58981,bool),empty))))&~p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,X))))))|p(s(bool,t)))&((![Q58981,X]: (~p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,X))),s(fun(Q58981,bool),empty))))|(![P0]: p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,X)))))))|~p(s(bool,t)))),
% 20.06/4.17 inference(miniscoping,[status(esa)],[f9330])).
% 20.06/4.17 fof(f9332,plain,(
% 20.06/4.17 ((![Q58981,P0]: (p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,sk0_1408(P0,Q58981)))),s(fun(Q58981,bool),empty))))&~p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,sk0_1408(P0,Q58981)))))))|p(s(bool,t)))&((![Q58981,X]: (~p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,X))),s(fun(Q58981,bool),empty))))|(![P0]: p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,X)))))))|~p(s(bool,t)))),
% 20.06/4.17 inference(skolemization,[status(esa)],[f9331])).
% 20.06/4.17 fof(f9335,plain,(
% 20.06/4.17 ![X0,X1,X2]: (~p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X1))),s(fun(X0,bool),empty))))|p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1))))|~p(s(bool,t)))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f9332])).
% 20.06/4.17 fof(f9345,plain,(
% 20.06/4.17 ![Q59041,P0]: (((![X]: (~p(s(bool,i(s(fun(fun(Q59041,bool),bool),i(s(fun(Q59041,fun(fun(Q59041,bool),bool)),in),s(Q59041,X))),s(fun(Q59041,bool),empty))))|~p(s(bool,i(s(fun(Q59041,bool),P0),s(Q59041,X))))))|p(s(bool,f0)))&((?[X]: (p(s(bool,i(s(fun(fun(Q59041,bool),bool),i(s(fun(Q59041,fun(fun(Q59041,bool),bool)),in),s(Q59041,X))),s(fun(Q59041,bool),empty))))&p(s(bool,i(s(fun(Q59041,bool),P0),s(Q59041,X))))))|~p(s(bool,f0))))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f2043])).
% 20.06/4.17 fof(f9346,plain,(
% 20.06/4.17 ((![Q59041,X]: (~p(s(bool,i(s(fun(fun(Q59041,bool),bool),i(s(fun(Q59041,fun(fun(Q59041,bool),bool)),in),s(Q59041,X))),s(fun(Q59041,bool),empty))))|(![P0]: ~p(s(bool,i(s(fun(Q59041,bool),P0),s(Q59041,X)))))))|p(s(bool,f0)))&((![Q59041,P0]: ?[X]: (p(s(bool,i(s(fun(fun(Q59041,bool),bool),i(s(fun(Q59041,fun(fun(Q59041,bool),bool)),in),s(Q59041,X))),s(fun(Q59041,bool),empty))))&p(s(bool,i(s(fun(Q59041,bool),P0),s(Q59041,X))))))|~p(s(bool,f0)))),
% 20.06/4.17 inference(miniscoping,[status(esa)],[f9345])).
% 20.06/4.17 fof(f9347,plain,(
% 20.06/4.17 ((![Q59041,X]: (~p(s(bool,i(s(fun(fun(Q59041,bool),bool),i(s(fun(Q59041,fun(fun(Q59041,bool),bool)),in),s(Q59041,X))),s(fun(Q59041,bool),empty))))|(![P0]: ~p(s(bool,i(s(fun(Q59041,bool),P0),s(Q59041,X)))))))|p(s(bool,f0)))&((![Q59041,P0]: (p(s(bool,i(s(fun(fun(Q59041,bool),bool),i(s(fun(Q59041,fun(fun(Q59041,bool),bool)),in),s(Q59041,sk0_1410(P0,Q59041)))),s(fun(Q59041,bool),empty))))&p(s(bool,i(s(fun(Q59041,bool),P0),s(Q59041,sk0_1410(P0,Q59041)))))))|~p(s(bool,f0)))),
% 20.06/4.17 inference(skolemization,[status(esa)],[f9346])).
% 20.06/4.17 fof(f9348,plain,(
% 20.06/4.17 ![X0,X1,X2]: (~p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X1))),s(fun(X0,bool),empty))))|~p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1))))|p(s(bool,f0)))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f9347])).
% 20.06/4.17 fof(f10979,plain,(
% 20.06/4.17 ![B,A,R0]: ((~p(s(bool,t))|s(fun(finite_image(B),A),i(s(fun(cart(A,B),fun(finite_image(B),A)),destu_cart),s(cart(A,B),i(s(fun(fun(finite_image(B),A),cart(A,B)),mku_cart),s(fun(finite_image(B),A),R0)))))=s(fun(finite_image(B),A),R0))&(p(s(bool,t))|~s(fun(finite_image(B),A),i(s(fun(cart(A,B),fun(finite_image(B),A)),destu_cart),s(cart(A,B),i(s(fun(fun(finite_image(B),A),cart(A,B)),mku_cart),s(fun(finite_image(B),A),R0)))))=s(fun(finite_image(B),A),R0)))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f2377])).
% 20.06/4.17 fof(f10980,plain,(
% 20.06/4.17 (~p(s(bool,t))|(![B,A,R0]: s(fun(finite_image(B),A),i(s(fun(cart(A,B),fun(finite_image(B),A)),destu_cart),s(cart(A,B),i(s(fun(fun(finite_image(B),A),cart(A,B)),mku_cart),s(fun(finite_image(B),A),R0)))))=s(fun(finite_image(B),A),R0)))&(p(s(bool,t))|(![B,A,R0]: ~s(fun(finite_image(B),A),i(s(fun(cart(A,B),fun(finite_image(B),A)),destu_cart),s(cart(A,B),i(s(fun(fun(finite_image(B),A),cart(A,B)),mku_cart),s(fun(finite_image(B),A),R0)))))=s(fun(finite_image(B),A),R0)))),
% 20.06/4.17 inference(miniscoping,[status(esa)],[f10979])).
% 20.06/4.17 fof(f10981,plain,(
% 20.06/4.17 ![X0,X1,X2]: (~p(s(bool,t))|s(fun(finite_image(X0),X1),i(s(fun(cart(X1,X0),fun(finite_image(X0),X1)),destu_cart),s(cart(X1,X0),i(s(fun(fun(finite_image(X0),X1),cart(X1,X0)),mku_cart),s(fun(finite_image(X0),X1),X2)))))=s(fun(finite_image(X0),X1),X2))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f10980])).
% 20.06/4.17 fof(f11512,plain,(
% 20.06/4.17 ![A,L]: (p(s(bool,i(s(fun(fun(prod(A,A),bool),bool),woset),s(fun(prod(A,A),bool),L))))<=>((![X,Y]: ((~p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,X))),s(A,Y))))))|~p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,Y))),s(A,X)))))))|s(A,X)=s(A,Y)))&(![P0]: (((?[X]: (p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&~p(s(bool,i(s(fun(A,bool),i(s(fun(fun(prod(A,A),bool),fun(A,bool)),fl),s(fun(prod(A,A),bool),L))),s(A,X))))))|(![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|(?[Y]: (p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))&(![Z0]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,Z0))))|p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,Y))),s(A,Z0))))))))))))))),
% 20.06/4.17 inference(pre_NNF_transformation,[status(esa)],[f2479])).
% 20.06/4.17 fof(f11513,plain,(
% 20.06/4.17 ![A,L,X,Y]: (pd0_195(Y,X,L,A)<=>((~p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,X))),s(A,Y))))))|~p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,Y))),s(A,X)))))))|s(A,X)=s(A,Y)))),
% 20.06/4.17 introduced(predicate_definition,[f11512])).
% 20.06/4.17 fof(f11779,plain,(
% 20.06/4.17 ![Q87739,Q87740]: ((![X]: ~p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,X))),s(fun(Q87740,bool),s0)))))|((![X,Y]: (((~p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,X))),s(fun(Q87740,bool),s0))))|~p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,Y))),s(fun(Q87740,bool),s0)))))|~s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,X)))=s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,Y))))|s(Q87740,X)=s(Q87740,Y)))<=>(?[G0]: ((![Y]: (~p(s(bool,i(s(fun(fun(Q87739,bool),bool),i(s(fun(Q87739,fun(fun(Q87739,bool),bool)),in),s(Q87739,Y))),s(fun(Q87739,bool),t0))))|p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,i(s(fun(Q87739,Q87740),G0),s(Q87739,Y))))),s(fun(Q87740,bool),s0))))))&(![X]: (~p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,X))),s(fun(Q87740,bool),s0))))|s(Q87740,i(s(fun(Q87739,Q87740),G0),s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,X)))))=s(Q87740,X)))))))),
% 20.06/4.17 inference(pre_NNF_transformation,[status(esa)],[f2524])).
% 20.06/4.17 fof(f11780,plain,(
% 20.06/4.17 ![Q87739,Q87740,X,Y]: (pd0_209(Y,X,Q87740,Q87739)<=>(((~p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,X))),s(fun(Q87740,bool),s0))))|~p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,Y))),s(fun(Q87740,bool),s0)))))|~s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,X)))=s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,Y))))|s(Q87740,X)=s(Q87740,Y)))),
% 20.06/4.17 introduced(predicate_definition,[f11779])).
% 20.06/4.17 fof(f12682,plain,(
% 20.06/4.17 ![X0,X1,X2]: (s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X2)))=s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),X1))))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f2796])).
% 20.06/4.17 fof(f12869,plain,(
% 20.06/4.17 ![Q103311,Q103313,X,Y]: ((~s(real,i(s(fun(cart(real,Q103311),real),vectoru_norm),s(cart(real,Q103311),X)))=s(real,i(s(fun(cart(real,Q103313),real),vectoru_norm),s(cart(real,Q103313),Y)))|s(real,i(s(fun(cart(real,Q103311),real),i(s(fun(cart(real,Q103311),fun(cart(real,Q103311),real)),dot),s(cart(real,Q103311),X))),s(cart(real,Q103311),X)))=s(real,i(s(fun(cart(real,Q103313),real),i(s(fun(cart(real,Q103313),fun(cart(real,Q103313),real)),dot),s(cart(real,Q103313),Y))),s(cart(real,Q103313),Y))))&(s(real,i(s(fun(cart(real,Q103311),real),vectoru_norm),s(cart(real,Q103311),X)))=s(real,i(s(fun(cart(real,Q103313),real),vectoru_norm),s(cart(real,Q103313),Y)))|~s(real,i(s(fun(cart(real,Q103311),real),i(s(fun(cart(real,Q103311),fun(cart(real,Q103311),real)),dot),s(cart(real,Q103311),X))),s(cart(real,Q103311),X)))=s(real,i(s(fun(cart(real,Q103313),real),i(s(fun(cart(real,Q103313),fun(cart(real,Q103313),real)),dot),s(cart(real,Q103313),Y))),s(cart(real,Q103313),Y)))))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f2876])).
% 20.06/4.17 fof(f12870,plain,(
% 20.06/4.17 (![Q103311,Q103313,X,Y]: (~s(real,i(s(fun(cart(real,Q103311),real),vectoru_norm),s(cart(real,Q103311),X)))=s(real,i(s(fun(cart(real,Q103313),real),vectoru_norm),s(cart(real,Q103313),Y)))|s(real,i(s(fun(cart(real,Q103311),real),i(s(fun(cart(real,Q103311),fun(cart(real,Q103311),real)),dot),s(cart(real,Q103311),X))),s(cart(real,Q103311),X)))=s(real,i(s(fun(cart(real,Q103313),real),i(s(fun(cart(real,Q103313),fun(cart(real,Q103313),real)),dot),s(cart(real,Q103313),Y))),s(cart(real,Q103313),Y)))))&(![Q103311,Q103313,X,Y]: (s(real,i(s(fun(cart(real,Q103311),real),vectoru_norm),s(cart(real,Q103311),X)))=s(real,i(s(fun(cart(real,Q103313),real),vectoru_norm),s(cart(real,Q103313),Y)))|~s(real,i(s(fun(cart(real,Q103311),real),i(s(fun(cart(real,Q103311),fun(cart(real,Q103311),real)),dot),s(cart(real,Q103311),X))),s(cart(real,Q103311),X)))=s(real,i(s(fun(cart(real,Q103313),real),i(s(fun(cart(real,Q103313),fun(cart(real,Q103313),real)),dot),s(cart(real,Q103313),Y))),s(cart(real,Q103313),Y)))))),
% 20.06/4.17 inference(miniscoping,[status(esa)],[f12869])).
% 20.06/4.17 fof(f12872,plain,(
% 20.06/4.17 ![X0,X1,X2,X3]: (s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))=s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X3)))|~s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1)))=s(real,i(s(fun(cart(real,X2),real),i(s(fun(cart(real,X2),fun(cart(real,X2),real)),dot),s(cart(real,X2),X3))),s(cart(real,X2),X3))))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f12870])).
% 20.06/4.17 fof(f12883,plain,(
% 20.06/4.17 ![N,X]: ((~s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X)))=s(real,a0)|(p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))&s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),X)))=s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))&(s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X)))=s(real,a0)|(~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))|~s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),X)))=s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f2880])).
% 20.06/4.17 fof(f12884,plain,(
% 20.06/4.17 (![N,X]: (~s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X)))=s(real,a0)|(p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))&s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),X)))=s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))&(![N,X]: (s(real,i(s(fun(cart(real,N),real),vectoru_norm),s(cart(real,N),X)))=s(real,a0)|(~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))|~s(real,i(s(fun(cart(real,N),real),i(s(fun(cart(real,N),fun(cart(real,N),real)),dot),s(cart(real,N),X))),s(cart(real,N),X)))=s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),
% 20.06/4.17 inference(miniscoping,[status(esa)],[f12883])).
% 20.06/4.17 fof(f12886,plain,(
% 20.06/4.17 ![X0,X1]: (~s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))=s(real,a0)|s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1)))=s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f12884])).
% 20.06/4.17 fof(f12916,plain,(
% 20.06/4.17 ![Q104636,X,Y]: ((~s(cart(real,Q104636),X)=s(cart(real,Q104636),Y)|(s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),X)))=s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),Y)))&s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),Y))),s(cart(real,Q104636),Y)))=s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),X)))))&(s(cart(real,Q104636),X)=s(cart(real,Q104636),Y)|(~s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),X)))=s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),Y)))|~s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),Y))),s(cart(real,Q104636),Y)))=s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),X))))))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f2889])).
% 20.06/4.17 fof(f12917,plain,(
% 20.06/4.17 (![Q104636,X,Y]: (~s(cart(real,Q104636),X)=s(cart(real,Q104636),Y)|(s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),X)))=s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),Y)))&s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),Y))),s(cart(real,Q104636),Y)))=s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),X))))))&(![Q104636,X,Y]: (s(cart(real,Q104636),X)=s(cart(real,Q104636),Y)|(~s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),X)))=s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),Y)))|~s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),Y))),s(cart(real,Q104636),Y)))=s(real,i(s(fun(cart(real,Q104636),real),i(s(fun(cart(real,Q104636),fun(cart(real,Q104636),real)),dot),s(cart(real,Q104636),X))),s(cart(real,Q104636),X))))))),
% 20.06/4.17 inference(miniscoping,[status(esa)],[f12916])).
% 20.06/4.17 fof(f12920,plain,(
% 20.06/4.17 ![X0,X1,X2]: (s(cart(real,X0),X1)=s(cart(real,X0),X2)|~s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1)))=s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X2)))|~s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),X2)))=s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1))))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f12917])).
% 20.06/4.17 fof(f13369,plain,(
% 20.06/4.17 (?[Q110616,X,Y]: ((![Z0]: s(real,i(s(fun(cart(real,Q110616),real),i(s(fun(cart(real,Q110616),fun(cart(real,Q110616),real)),dot),s(cart(real,Q110616),X))),s(cart(real,Q110616),Z0)))=s(real,i(s(fun(cart(real,Q110616),real),i(s(fun(cart(real,Q110616),fun(cart(real,Q110616),real)),dot),s(cart(real,Q110616),Y))),s(cart(real,Q110616),Z0))))<~>s(cart(real,Q110616),X)=s(cart(real,Q110616),Y)))),
% 20.06/4.17 inference(pre_NNF_transformation,[status(esa)],[f3004])).
% 20.06/4.17 fof(f13370,plain,(
% 20.06/4.17 ?[Q110616,X,Y]: (((![Z0]: s(real,i(s(fun(cart(real,Q110616),real),i(s(fun(cart(real,Q110616),fun(cart(real,Q110616),real)),dot),s(cart(real,Q110616),X))),s(cart(real,Q110616),Z0)))=s(real,i(s(fun(cart(real,Q110616),real),i(s(fun(cart(real,Q110616),fun(cart(real,Q110616),real)),dot),s(cart(real,Q110616),Y))),s(cart(real,Q110616),Z0))))|s(cart(real,Q110616),X)=s(cart(real,Q110616),Y))&((?[Z0]: ~s(real,i(s(fun(cart(real,Q110616),real),i(s(fun(cart(real,Q110616),fun(cart(real,Q110616),real)),dot),s(cart(real,Q110616),X))),s(cart(real,Q110616),Z0)))=s(real,i(s(fun(cart(real,Q110616),real),i(s(fun(cart(real,Q110616),fun(cart(real,Q110616),real)),dot),s(cart(real,Q110616),Y))),s(cart(real,Q110616),Z0))))|~s(cart(real,Q110616),X)=s(cart(real,Q110616),Y)))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f13369])).
% 20.06/4.17 fof(f13371,plain,(
% 20.06/4.17 (((![Z0]: s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),Z0)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3165))),s(cart(real,sk0_3163),Z0))))|s(cart(real,sk0_3163),sk0_3164)=s(cart(real,sk0_3163),sk0_3165))&(~s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),sk0_3166)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3165))),s(cart(real,sk0_3163),sk0_3166)))|~s(cart(real,sk0_3163),sk0_3164)=s(cart(real,sk0_3163),sk0_3165)))),
% 20.06/4.17 inference(skolemization,[status(esa)],[f13370])).
% 20.06/4.17 fof(f13372,plain,(
% 20.06/4.17 ![X0]: (s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),X0)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3165))),s(cart(real,sk0_3163),X0)))|s(cart(real,sk0_3163),sk0_3164)=s(cart(real,sk0_3163),sk0_3165))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f13371])).
% 20.06/4.17 fof(f13373,plain,(
% 20.06/4.17 ~s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),sk0_3166)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3165))),s(cart(real,sk0_3163),sk0_3166)))|~s(cart(real,sk0_3163),sk0_3164)=s(cart(real,sk0_3163),sk0_3165)),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f13371])).
% 20.06/4.17 fof(f13403,plain,(
% 20.06/4.17 ![A,P0,X,XI_]: ((~pd0_4(XI_,X,P0,A)|((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_)))&(pd0_4(XI_,X,P0,A)|((p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))&~s(A,X)=s(A,XI_))))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f3283])).
% 20.06/4.17 fof(f13404,plain,(
% 20.06/4.17 (![A,P0,X,XI_]: (~pd0_4(XI_,X,P0,A)|((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_))))&(![A,P0,X,XI_]: (pd0_4(XI_,X,P0,A)|((p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))&~s(A,X)=s(A,XI_))))),
% 20.06/4.17 inference(miniscoping,[status(esa)],[f13403])).
% 20.06/4.17 fof(f13408,plain,(
% 20.06/4.17 ![X0,X1,X2,X3]: (pd0_4(X0,X1,X2,X3)|~s(X3,X1)=s(X3,X0))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f13404])).
% 20.06/4.17 fof(f13409,plain,(
% 20.06/4.17 ![A,P0,X,XI_]: ((~pd0_5(XI_,X,P0,A)|((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_)))&(pd0_5(XI_,X,P0,A)|((p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))&~s(A,X)=s(A,XI_))))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f3284])).
% 20.06/4.17 fof(f13410,plain,(
% 20.06/4.17 (![A,P0,X,XI_]: (~pd0_5(XI_,X,P0,A)|((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_))))&(![A,P0,X,XI_]: (pd0_5(XI_,X,P0,A)|((p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))&~s(A,X)=s(A,XI_))))),
% 20.06/4.17 inference(miniscoping,[status(esa)],[f13409])).
% 20.06/4.17 fof(f13414,plain,(
% 20.06/4.17 ![X0,X1,X2,X3]: (pd0_5(X0,X1,X2,X3)|~s(X3,X1)=s(X3,X0))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f13410])).
% 20.06/4.17 fof(f13423,plain,(
% 20.06/4.17 ![A,P0,X,XI_]: ((~pd0_7(XI_,X,P0,A)|((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_)))&(pd0_7(XI_,X,P0,A)|((p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))&~s(A,X)=s(A,XI_))))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f3509])).
% 20.06/4.17 fof(f13424,plain,(
% 20.06/4.17 (![A,P0,X,XI_]: (~pd0_7(XI_,X,P0,A)|((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_))))&(![A,P0,X,XI_]: (pd0_7(XI_,X,P0,A)|((p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))&~s(A,X)=s(A,XI_))))),
% 20.06/4.17 inference(miniscoping,[status(esa)],[f13423])).
% 20.06/4.17 fof(f13428,plain,(
% 20.06/4.17 ![X0,X1,X2,X3]: (pd0_7(X0,X1,X2,X3)|~s(X3,X1)=s(X3,X0))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f13424])).
% 20.06/4.17 fof(f14492,plain,(
% 20.06/4.17 ![A,L,X,Y]: ((~pd0_195(Y,X,L,A)|((~p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,X))),s(A,Y))))))|~p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,Y))),s(A,X)))))))|s(A,X)=s(A,Y)))&(pd0_195(Y,X,L,A)|((p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,X))),s(A,Y))))))&p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,Y))),s(A,X)))))))&~s(A,X)=s(A,Y))))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f11513])).
% 20.06/4.17 fof(f14493,plain,(
% 20.06/4.17 (![A,L,X,Y]: (~pd0_195(Y,X,L,A)|((~p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,X))),s(A,Y))))))|~p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,Y))),s(A,X)))))))|s(A,X)=s(A,Y))))&(![A,L,X,Y]: (pd0_195(Y,X,L,A)|((p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,X))),s(A,Y))))))&p(s(bool,i(s(fun(prod(A,A),bool),L),s(prod(A,A),i(s(fun(A,prod(A,A)),i(s(fun(A,fun(A,prod(A,A))),c_),s(A,Y))),s(A,X)))))))&~s(A,X)=s(A,Y))))),
% 20.06/4.17 inference(miniscoping,[status(esa)],[f14492])).
% 20.06/4.17 fof(f14497,plain,(
% 20.06/4.17 ![X0,X1,X2,X3]: (pd0_195(X0,X1,X2,X3)|~s(X3,X1)=s(X3,X0))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f14493])).
% 20.06/4.17 fof(f14577,plain,(
% 20.06/4.17 ![Q87739,Q87740,X,Y]: ((~pd0_209(Y,X,Q87740,Q87739)|(((~p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,X))),s(fun(Q87740,bool),s0))))|~p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,Y))),s(fun(Q87740,bool),s0)))))|~s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,X)))=s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,Y))))|s(Q87740,X)=s(Q87740,Y)))&(pd0_209(Y,X,Q87740,Q87739)|(((p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,X))),s(fun(Q87740,bool),s0))))&p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,Y))),s(fun(Q87740,bool),s0)))))&s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,X)))=s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,Y))))&~s(Q87740,X)=s(Q87740,Y))))),
% 20.06/4.17 inference(NNF_transformation,[status(esa)],[f11780])).
% 20.06/4.17 fof(f14578,plain,(
% 20.06/4.17 (![Q87739,Q87740,X,Y]: (~pd0_209(Y,X,Q87740,Q87739)|(((~p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,X))),s(fun(Q87740,bool),s0))))|~p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,Y))),s(fun(Q87740,bool),s0)))))|~s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,X)))=s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,Y))))|s(Q87740,X)=s(Q87740,Y))))&(![Q87739,Q87740,X,Y]: (pd0_209(Y,X,Q87740,Q87739)|(((p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,X))),s(fun(Q87740,bool),s0))))&p(s(bool,i(s(fun(fun(Q87740,bool),bool),i(s(fun(Q87740,fun(fun(Q87740,bool),bool)),in),s(Q87740,Y))),s(fun(Q87740,bool),s0)))))&s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,X)))=s(Q87739,i(s(fun(Q87740,Q87739),f),s(Q87740,Y))))&~s(Q87740,X)=s(Q87740,Y))))),
% 20.06/4.17 inference(miniscoping,[status(esa)],[f14577])).
% 20.06/4.17 fof(f14583,plain,(
% 20.06/4.17 ![X0,X1,X2,X3]: (pd0_209(X0,X1,X2,X3)|~s(X2,X1)=s(X2,X0))),
% 20.06/4.17 inference(cnf_transformation,[status(esa)],[f14578])).
% 20.06/4.17 fof(f15066,plain,(
% 20.06/4.17 spl0_1 <=> ~p(s(bool,X2))|p(s(bool,X2))),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f15070,plain,(
% 20.06/4.17 spl0_2 <=> p(s(bool,f0))),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f15077,plain,(
% 20.06/4.17 spl0_4 <=> p(s(bool,sk0_5))),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f15080,plain,(
% 20.06/4.17 spl0_2|~spl0_4),
% 20.06/4.17 inference(split_clause,[status(thm)],[f3047,f15070,f15077])).
% 20.06/4.17 fof(f15081,plain,(
% 20.06/4.17 spl0_1|spl0_2),
% 20.06/4.17 inference(split_clause,[status(thm)],[f3051,f15066,f15070])).
% 20.06/4.17 fof(f15101,plain,(
% 20.06/4.17 spl0_9 <=> ~s(X0,X1)=s(X0,X1)),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f15102,plain,(
% 20.06/4.17 ![X0,X1]: (~s(X0,X1)=s(X0,X1)|~spl0_9)),
% 20.06/4.17 inference(component_clause,[status(thm)],[f15101])).
% 20.06/4.17 fof(f15104,plain,(
% 20.06/4.17 spl0_10 <=> p(s(bool,t))),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f15107,plain,(
% 20.06/4.17 spl0_9|spl0_10),
% 20.06/4.17 inference(split_clause,[status(thm)],[f3067,f15101,f15104])).
% 20.06/4.17 fof(f15108,plain,(
% 20.06/4.17 spl0_11 <=> s(X0,X1)=s(X0,X1)),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f15111,plain,(
% 20.06/4.17 spl0_11|~spl0_10),
% 20.06/4.17 inference(split_clause,[status(thm)],[f3068,f15108,f15104])).
% 20.06/4.17 fof(f15203,plain,(
% 20.06/4.17 ~spl0_2|~spl0_10),
% 20.06/4.17 inference(split_clause,[status(thm)],[f3226,f15070,f15104])).
% 20.06/4.17 fof(f15404,plain,(
% 20.06/4.17 spl0_39 <=> s(num,u_0)=s(num,u_0)),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f15408,plain,(
% 20.06/4.17 spl0_39|~spl0_10),
% 20.06/4.17 inference(split_clause,[status(thm)],[f4020,f15404,f15104])).
% 20.06/4.17 fof(f15582,plain,(
% 20.06/4.17 spl0_86 <=> ~s(num,i(s(fun(num,num),bit1),s(num,X0)))=s(num,u_0)),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f15585,plain,(
% 20.06/4.17 spl0_86|spl0_2),
% 20.06/4.17 inference(split_clause,[status(thm)],[f5015,f15582,f15070])).
% 20.06/4.17 fof(f15592,plain,(
% 20.06/4.17 spl0_88 <=> ~s(num,i(s(fun(num,num),bit0),s(num,X0)))=s(num,i(s(fun(num,num),bit1),s(num,X1)))),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f15595,plain,(
% 20.06/4.17 spl0_88|spl0_2),
% 20.06/4.17 inference(split_clause,[status(thm)],[f5031,f15592,f15070])).
% 20.06/4.17 fof(f15758,plain,(
% 20.06/4.17 spl0_132 <=> ~p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X1))),s(fun(X0,bool),empty))))|p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1))))),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f15761,plain,(
% 20.06/4.17 spl0_132|~spl0_10),
% 20.06/4.17 inference(split_clause,[status(thm)],[f9335,f15758,f15104])).
% 20.06/4.17 fof(f15762,plain,(
% 20.06/4.17 spl0_133 <=> ~p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X1))),s(fun(X0,bool),empty))))|~p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1))))),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f15765,plain,(
% 20.06/4.17 spl0_133|spl0_2),
% 20.06/4.17 inference(split_clause,[status(thm)],[f9348,f15762,f15070])).
% 20.06/4.17 fof(f15793,plain,(
% 20.06/4.17 spl0_141 <=> s(fun(finite_image(X0),X1),i(s(fun(cart(X1,X0),fun(finite_image(X0),X1)),destu_cart),s(cart(X1,X0),i(s(fun(fun(finite_image(X0),X1),cart(X1,X0)),mku_cart),s(fun(finite_image(X0),X1),X2)))))=s(fun(finite_image(X0),X1),X2)),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f15796,plain,(
% 20.06/4.17 ~spl0_10|spl0_141),
% 20.06/4.17 inference(split_clause,[status(thm)],[f10981,f15104,f15793])).
% 20.06/4.17 fof(f15915,plain,(
% 20.06/4.17 spl0_173 <=> s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),X0)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3165))),s(cart(real,sk0_3163),X0)))),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f15916,plain,(
% 20.06/4.17 ![X0]: (s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),X0)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3165))),s(cart(real,sk0_3163),X0)))|~spl0_173)),
% 20.06/4.17 inference(component_clause,[status(thm)],[f15915])).
% 20.06/4.17 fof(f15918,plain,(
% 20.06/4.17 spl0_174 <=> s(cart(real,sk0_3163),sk0_3164)=s(cart(real,sk0_3163),sk0_3165)),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f15919,plain,(
% 20.06/4.17 s(cart(real,sk0_3163),sk0_3164)=s(cart(real,sk0_3163),sk0_3165)|~spl0_174),
% 20.06/4.17 inference(component_clause,[status(thm)],[f15918])).
% 20.06/4.17 fof(f15921,plain,(
% 20.06/4.17 spl0_173|spl0_174),
% 20.06/4.17 inference(split_clause,[status(thm)],[f13372,f15915,f15918])).
% 20.06/4.17 fof(f15922,plain,(
% 20.06/4.17 spl0_175 <=> s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),sk0_3166)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3165))),s(cart(real,sk0_3163),sk0_3166)))),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f15924,plain,(
% 20.06/4.17 ~s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),sk0_3166)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3165))),s(cart(real,sk0_3163),sk0_3166)))|spl0_175),
% 20.06/4.17 inference(component_clause,[status(thm)],[f15922])).
% 20.06/4.17 fof(f15925,plain,(
% 20.06/4.17 ~spl0_175|~spl0_174),
% 20.06/4.17 inference(split_clause,[status(thm)],[f13373,f15922,f15918])).
% 20.06/4.17 fof(f15965,plain,(
% 20.06/4.17 $false|~spl0_9),
% 20.06/4.17 inference(trivial_equality_resolution,[status(esa)],[f15102])).
% 20.06/4.17 fof(f15966,plain,(
% 20.06/4.17 ~spl0_9),
% 20.06/4.17 inference(contradiction_clause,[status(thm)],[f15965])).
% 20.06/4.17 fof(f15967,plain,(
% 20.06/4.17 ~s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),sk0_3166)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),sk0_3166)))|~spl0_174|spl0_175),
% 20.06/4.17 inference(forward_demodulation,[status(thm)],[f15919,f15924])).
% 20.06/4.17 fof(f15968,plain,(
% 20.06/4.17 $false|~spl0_174|spl0_175),
% 20.06/4.17 inference(trivial_equality_resolution,[status(esa)],[f15967])).
% 20.06/4.17 fof(f15969,plain,(
% 20.06/4.17 ~spl0_174|spl0_175),
% 20.06/4.17 inference(contradiction_clause,[status(thm)],[f15968])).
% 20.06/4.17 fof(f15978,plain,(
% 20.06/4.17 ![X0]: (s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),X0)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),X0))),s(cart(real,sk0_3163),sk0_3165)))|~spl0_173)),
% 20.06/4.17 inference(paramodulation,[status(thm)],[f15916,f12682])).
% 20.06/4.17 fof(f15988,plain,(
% 20.06/4.17 ![X0]: (s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),X0))),s(cart(real,sk0_3163),sk0_3164)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),X0))),s(cart(real,sk0_3163),sk0_3165)))|~spl0_173)),
% 20.06/4.17 inference(paramodulation,[status(thm)],[f12682,f15978])).
% 20.06/4.17 fof(f16376,plain,(
% 20.06/4.17 spl0_188 <=> s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)))),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f16377,plain,(
% 20.06/4.17 s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)))|~spl0_188),
% 20.06/4.17 inference(component_clause,[status(thm)],[f16376])).
% 20.06/4.17 fof(f16461,plain,(
% 20.06/4.17 ![X0,X1]: (s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)))|~s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),sk0_3165)))|~spl0_173)),
% 20.06/4.17 inference(paramodulation,[status(thm)],[f15916,f12872])).
% 20.06/4.17 fof(f16560,plain,(
% 20.06/4.17 spl0_189 <=> s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))=s(real,a0)),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f16563,plain,(
% 20.06/4.17 spl0_190 <=> s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3165))),s(cart(real,sk0_3163),sk0_3165)))=s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f16566,plain,(
% 20.06/4.17 ~s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))=s(real,a0)|s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3165))),s(cart(real,sk0_3163),sk0_3165)))=s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))|~spl0_188),
% 20.06/4.17 inference(paramodulation,[status(thm)],[f16377,f12886])).
% 20.06/4.17 fof(f16567,plain,(
% 20.06/4.17 ~spl0_189|spl0_190|~spl0_188),
% 20.06/4.17 inference(split_clause,[status(thm)],[f16566,f16560,f16563,f16376])).
% 20.06/4.17 fof(f16590,plain,(
% 20.06/4.17 spl0_191 <=> s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3165))),s(cart(real,sk0_3163),sk0_3165)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),sk0_3164)))),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f16592,plain,(
% 20.06/4.17 ~s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3165))),s(cart(real,sk0_3163),sk0_3165)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),sk0_3164)))|spl0_191),
% 20.06/4.17 inference(component_clause,[status(thm)],[f16590])).
% 20.06/4.17 fof(f16597,plain,(
% 20.06/4.17 ![X0,X1]: (s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)))|~s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),sk0_3164)))|~spl0_173)),
% 20.06/4.17 inference(forward_demodulation,[status(thm)],[f15988,f16461])).
% 20.06/4.17 fof(f17042,plain,(
% 20.06/4.17 s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)))|~spl0_173),
% 20.06/4.17 inference(resolution,[status(thm)],[f16597,f12682])).
% 20.06/4.17 fof(f17043,plain,(
% 20.06/4.17 spl0_188|~spl0_173),
% 20.06/4.17 inference(split_clause,[status(thm)],[f17042,f16376,f15915])).
% 20.06/4.17 fof(f17110,plain,(
% 20.06/4.17 ![X0,X1]: (pd0_209(i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),X0,real,X1)|~s(real,X0)=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))|~spl0_188)),
% 20.06/4.17 inference(paramodulation,[status(thm)],[f16377,f14583])).
% 20.06/4.17 fof(f17112,plain,(
% 20.06/4.17 ![X0,X1]: (pd0_195(i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),X0,X1,real)|~s(real,X0)=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))|~spl0_188)),
% 20.06/4.17 inference(paramodulation,[status(thm)],[f16377,f14497])).
% 20.06/4.17 fof(f17114,plain,(
% 20.06/4.17 ![X0,X1]: (pd0_7(i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),X0,X1,real)|~s(real,X0)=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))|~spl0_188)),
% 20.06/4.17 inference(paramodulation,[status(thm)],[f16377,f13428])).
% 20.06/4.17 fof(f17116,plain,(
% 20.06/4.17 ![X0,X1]: (pd0_5(i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),X0,X1,real)|~s(real,X0)=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))|~spl0_188)),
% 20.06/4.17 inference(paramodulation,[status(thm)],[f16377,f13414])).
% 20.06/4.17 fof(f17118,plain,(
% 20.06/4.17 ![X0,X1]: (pd0_4(i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),X0,X1,real)|~s(real,X0)=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))|~spl0_188)),
% 20.06/4.17 inference(paramodulation,[status(thm)],[f16377,f13408])).
% 20.06/4.17 fof(f17126,plain,(
% 20.06/4.17 spl0_202 <=> pd0_209(i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),real,X0)),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f17129,plain,(
% 20.06/4.17 spl0_203 <=> s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f17131,plain,(
% 20.06/4.17 ~s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))|spl0_203),
% 20.06/4.17 inference(component_clause,[status(thm)],[f17129])).
% 20.06/4.17 fof(f17132,plain,(
% 20.06/4.17 ![X0]: (pd0_209(i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),real,X0)|~s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))|~spl0_188)),
% 20.06/4.17 inference(paramodulation,[status(thm)],[f16377,f17110])).
% 20.06/4.17 fof(f17133,plain,(
% 20.06/4.17 spl0_202|~spl0_203|~spl0_188),
% 20.06/4.17 inference(split_clause,[status(thm)],[f17132,f17126,f17129,f16376])).
% 20.06/4.17 fof(f17140,plain,(
% 20.06/4.17 $false|spl0_203),
% 20.06/4.17 inference(trivial_equality_resolution,[status(esa)],[f17131])).
% 20.06/4.17 fof(f17141,plain,(
% 20.06/4.17 spl0_203),
% 20.06/4.17 inference(contradiction_clause,[status(thm)],[f17140])).
% 20.06/4.17 fof(f17154,plain,(
% 20.06/4.17 spl0_204 <=> pd0_195(i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),X0,real)),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f17157,plain,(
% 20.06/4.17 ![X0]: (pd0_195(i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),X0,real)|~s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))|~spl0_188)),
% 20.06/4.17 inference(paramodulation,[status(thm)],[f16377,f17112])).
% 20.06/4.17 fof(f17158,plain,(
% 20.06/4.17 spl0_204|~spl0_203|~spl0_188),
% 20.06/4.17 inference(split_clause,[status(thm)],[f17157,f17154,f17129,f16376])).
% 20.06/4.17 fof(f17190,plain,(
% 20.06/4.17 spl0_207 <=> pd0_7(i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),X0,real)),
% 20.06/4.17 introduced(split_symbol_definition)).
% 20.06/4.17 fof(f17193,plain,(
% 20.06/4.17 ![X0]: (pd0_7(i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),X0,real)|~s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))|~spl0_188)),
% 20.06/4.17 inference(paramodulation,[status(thm)],[f16377,f17114])).
% 20.06/4.17 fof(f17194,plain,(
% 20.06/4.17 spl0_207|~spl0_203|~spl0_188),
% 20.06/4.17 inference(split_clause,[status(thm)],[f17193,f17190,f17129,f16376])).
% 20.06/4.17 fof(f17213,plain,(
% 20.06/4.17 spl0_208 <=> pd0_5(i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),X0,real)),
% 20.52/4.17 introduced(split_symbol_definition)).
% 20.52/4.17 fof(f17216,plain,(
% 20.52/4.17 ![X0]: (pd0_5(i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),X0,real)|~s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))|~spl0_188)),
% 20.52/4.17 inference(paramodulation,[status(thm)],[f16377,f17116])).
% 20.52/4.17 fof(f17217,plain,(
% 20.52/4.17 spl0_208|~spl0_203|~spl0_188),
% 20.52/4.17 inference(split_clause,[status(thm)],[f17216,f17213,f17129,f16376])).
% 20.52/4.17 fof(f17236,plain,(
% 20.52/4.17 spl0_209 <=> pd0_4(i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),X0,real)),
% 20.52/4.17 introduced(split_symbol_definition)).
% 20.52/4.17 fof(f17239,plain,(
% 20.52/4.17 ![X0]: (pd0_4(i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3165)),X0,real)|~s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))=s(real,i(s(fun(cart(real,sk0_3163),real),vectoru_norm),s(cart(real,sk0_3163),sk0_3164)))|~spl0_188)),
% 21.22/4.28 inference(paramodulation,[status(thm)],[f16377,f17118])).
% 21.22/4.28 fof(f17240,plain,(
% 21.22/4.28 spl0_209|~spl0_203|~spl0_188),
% 21.22/4.28 inference(split_clause,[status(thm)],[f17239,f17236,f17129,f16376])).
% 21.22/4.28 fof(f17462,plain,(
% 21.22/4.28 s(cart(real,sk0_3163),sk0_3164)=s(cart(real,sk0_3163),sk0_3165)|~s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3165))),s(cart(real,sk0_3163),sk0_3165)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),sk0_3164)))|~spl0_173),
% 21.22/4.28 inference(resolution,[status(thm)],[f12920,f15988])).
% 21.22/4.28 fof(f17463,plain,(
% 21.22/4.28 spl0_174|~spl0_191|~spl0_173),
% 21.22/4.28 inference(split_clause,[status(thm)],[f17462,f15918,f16590,f15915])).
% 21.22/4.28 fof(f17487,plain,(
% 21.22/4.28 ~s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),sk0_3165)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),sk0_3164)))|~spl0_173|spl0_191),
% 21.22/4.28 inference(forward_demodulation,[status(thm)],[f15916,f16592])).
% 21.22/4.28 fof(f17488,plain,(
% 21.22/4.28 ~s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),sk0_3164)))=s(real,i(s(fun(cart(real,sk0_3163),real),i(s(fun(cart(real,sk0_3163),fun(cart(real,sk0_3163),real)),dot),s(cart(real,sk0_3163),sk0_3164))),s(cart(real,sk0_3163),sk0_3164)))|~spl0_173|spl0_191),
% 21.22/4.28 inference(forward_demodulation,[status(thm)],[f15988,f17487])).
% 21.22/4.28 fof(f17489,plain,(
% 21.22/4.28 $false|~spl0_173|spl0_191),
% 21.22/4.28 inference(trivial_equality_resolution,[status(esa)],[f17488])).
% 21.22/4.28 fof(f17490,plain,(
% 21.22/4.28 ~spl0_173|spl0_191),
% 21.22/4.28 inference(contradiction_clause,[status(thm)],[f17489])).
% 21.22/4.28 fof(f17491,plain,(
% 21.22/4.28 $false),
% 21.22/4.28 inference(sat_refutation,[status(thm)],[f15080,f15081,f15107,f15111,f15203,f15408,f15585,f15595,f15761,f15765,f15796,f15921,f15925,f15966,f15969,f16567,f17043,f17133,f17141,f17158,f17194,f17217,f17240,f17463,f17490])).
% 21.22/4.28 % SZS output end CNFRefutation for theBenchmark.p
% 21.80/4.40 % Elapsed time: 4.076264 seconds
% 21.80/4.40 % CPU time: 21.215566 seconds
% 21.80/4.40 % Memory used: 1.410 GB
%------------------------------------------------------------------------------