%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV053+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 12:40:33 EDT 2023

% Result   : Theorem 0.20s 0.52s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV053+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 11:43:51 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.35  % Drodi V3.5.1
% 0.20/0.52  % Refutation found
% 0.20/0.52  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.52  % SZS output start CNFRefutation for theBenchmark
% 0.20/0.52  fof(f4,axiom,(
% 0.20/0.52    (! [X] : leq(X,X) )),
% 0.20/0.52    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52  fof(f26,axiom,(
% 0.20/0.52    (! [Body] : sum(n0,tptp_minus_1,Body) = n0 )),
% 0.20/0.52    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52  fof(f28,axiom,(
% 0.20/0.52    succ(tptp_minus_1) = n0 ),
% 0.20/0.52    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52  fof(f39,axiom,(
% 0.20/0.52    (! [X] : minus(X,n1) = pred(X) )),
% 0.20/0.52    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52  fof(f40,axiom,(
% 0.20/0.52    (! [X] : pred(succ(X)) = X )),
% 0.20/0.52    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52  fof(f53,conjecture,(
% 0.20/0.52    ( ( leq(n0,pv10)& leq(n0,pv12)& leq(pv10,minus(n135300,n1))& leq(pv12,minus(n5,n1))& (! [A,B] :( ( leq(n0,A)& leq(A,minus(pv12,n1)) )=> a_select3(q,pv10,A) = divide(sqrt(times(minus(a_select3(center,A,n0),a_select2(x,pv10)),minus(a_select3(center,A,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,B,n0),a_select2(x,pv10)),minus(a_select3(center,B,n0),a_select2(x,pv10)))))) ))& (! [C,D] :( ( leq(n0,C)& leq(C,minus(pv10,n1)) )=> sum(n0,minus(n5,n1),a_select3(q,C,D)) = n1 ) ))=> ( n0 = sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))& leq(n0,pv10)& leq(n0,pv12)& leq(pv10,minus(n135300,n1))& leq(pv12,minus(n5,n1))& (! [E,F] :( ( leq(n0,E)& leq(E,minus(pv12,n1)) )=> a_select3(q,pv10,E) = divide(sqrt(times(minus(a_select3(center,E,n0),a_select2(x,pv10)),minus(a_select3(center,E,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,F,n0),a_select2(x,pv10)),minus(a_select3(center,F,n0),a_select2(x,pv10)))))) ))& (! [G,H] :( ( leq(n0,G)& leq(G,minus(pv10,n1)) )=> sum(n0,minus(n5,n1),a_select3(q,G,H)) = n1 ) )) ) ),
% 0.20/0.52    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52  fof(f54,negated_conjecture,(
% 0.20/0.52    ~(( ( leq(n0,pv10)& leq(n0,pv12)& leq(pv10,minus(n135300,n1))& leq(pv12,minus(n5,n1))& (! [A,B] :( ( leq(n0,A)& leq(A,minus(pv12,n1)) )=> a_select3(q,pv10,A) = divide(sqrt(times(minus(a_select3(center,A,n0),a_select2(x,pv10)),minus(a_select3(center,A,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,B,n0),a_select2(x,pv10)),minus(a_select3(center,B,n0),a_select2(x,pv10)))))) ))& (! [C,D] :( ( leq(n0,C)& leq(C,minus(pv10,n1)) )=> sum(n0,minus(n5,n1),a_select3(q,C,D)) = n1 ) ))=> ( n0 = sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))& leq(n0,pv10)& leq(n0,pv12)& leq(pv10,minus(n135300,n1))& leq(pv12,minus(n5,n1))& (! [E,F] :( ( leq(n0,E)& leq(E,minus(pv12,n1)) )=> a_select3(q,pv10,E) = divide(sqrt(times(minus(a_select3(center,E,n0),a_select2(x,pv10)),minus(a_select3(center,E,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,F,n0),a_select2(x,pv10)),minus(a_select3(center,F,n0),a_select2(x,pv10)))))) ))& (! [G,H] :( ( leq(n0,G)& leq(G,minus(pv10,n1)) )=> sum(n0,minus(n5,n1),a_select3(q,G,H)) = n1 ) )) ) )),
% 0.20/0.52    inference(negated_conjecture,[status(cth)],[f53])).
% 0.20/0.52  fof(f99,plain,(
% 0.20/0.52    ![X0]: (leq(X0,X0))),
% 0.20/0.52    inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.52  fof(f204,plain,(
% 0.20/0.52    ![X0]: (sum(n0,tptp_minus_1,X0)=n0)),
% 0.20/0.52    inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.52  fof(f206,plain,(
% 0.20/0.52    succ(tptp_minus_1)=n0),
% 0.20/0.52    inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.52  fof(f217,plain,(
% 0.20/0.52    ![X0]: (minus(X0,n1)=pred(X0))),
% 0.20/0.52    inference(cnf_transformation,[status(esa)],[f39])).
% 0.20/0.52  fof(f218,plain,(
% 0.20/0.52    ![X0]: (pred(succ(X0))=X0)),
% 0.20/0.52    inference(cnf_transformation,[status(esa)],[f40])).
% 0.20/0.52  fof(f251,plain,(
% 0.20/0.52    ((((((leq(n0,pv10)&leq(n0,pv12))&leq(pv10,minus(n135300,n1)))&leq(pv12,minus(n5,n1)))&(![A,B]: ((~leq(n0,A)|~leq(A,minus(pv12,n1)))|a_select3(q,pv10,A)=divide(sqrt(times(minus(a_select3(center,A,n0),a_select2(x,pv10)),minus(a_select3(center,A,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,B,n0),a_select2(x,pv10)),minus(a_select3(center,B,n0),a_select2(x,pv10)))))))))&(![C,D]: ((~leq(n0,C)|~leq(C,minus(pv10,n1)))|sum(n0,minus(n5,n1),a_select3(q,C,D))=n1)))&((((((~n0=sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))|~leq(n0,pv10))|~leq(n0,pv12))|~leq(pv10,minus(n135300,n1)))|~leq(pv12,minus(n5,n1)))|(?[E,F]: ((leq(n0,E)&leq(E,minus(pv12,n1)))&~a_select3(q,pv10,E)=divide(sqrt(times(minus(a_select3(center,E,n0),a_select2(x,pv10)),minus(a_select3(center,E,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,F,n0),a_select2(x,pv10)),minus(a_select3(center,F,n0),a_select2(x,pv10)))))))))|(?[G,H]: ((leq(n0,G)&leq(G,minus(pv10,n1)))&~sum(n0,minus(n5,n1),a_select3(q,G,H))=n1))))),
% 0.20/0.53    inference(pre_NNF_transformation,[status(esa)],[f54])).
% 0.20/0.53  fof(f252,plain,(
% 0.20/0.53    ![E,F]: (pd0_3(F,E)=>((leq(n0,E)&leq(E,minus(pv12,n1)))&~a_select3(q,pv10,E)=divide(sqrt(times(minus(a_select3(center,E,n0),a_select2(x,pv10)),minus(a_select3(center,E,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,F,n0),a_select2(x,pv10)),minus(a_select3(center,F,n0),a_select2(x,pv10))))))))),
% 0.20/0.53    introduced(predicate_definition,[f251])).
% 0.20/0.53  fof(f253,plain,(
% 0.20/0.53    (((((leq(n0,pv10)&leq(n0,pv12))&leq(pv10,minus(n135300,n1)))&leq(pv12,minus(n5,n1)))&(![A,B]: ((~leq(n0,A)|~leq(A,minus(pv12,n1)))|a_select3(q,pv10,A)=divide(sqrt(times(minus(a_select3(center,A,n0),a_select2(x,pv10)),minus(a_select3(center,A,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,B,n0),a_select2(x,pv10)),minus(a_select3(center,B,n0),a_select2(x,pv10)))))))))&(![C,D]: ((~leq(n0,C)|~leq(C,minus(pv10,n1)))|sum(n0,minus(n5,n1),a_select3(q,C,D))=n1)))&((((((~n0=sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))|~leq(n0,pv10))|~leq(n0,pv12))|~leq(pv10,minus(n135300,n1)))|~leq(pv12,minus(n5,n1)))|(?[E,F]: pd0_3(F,E)))|(?[G,H]: ((leq(n0,G)&leq(G,minus(pv10,n1)))&~sum(n0,minus(n5,n1),a_select3(q,G,H))=n1)))),
% 0.20/0.53    inference(formula_renaming,[status(thm)],[f251,f252])).
% 0.20/0.53  fof(f254,plain,(
% 0.20/0.53    (((((leq(n0,pv10)&leq(n0,pv12))&leq(pv10,minus(n135300,n1)))&leq(pv12,minus(n5,n1)))&(![A]: ((~leq(n0,A)|~leq(A,minus(pv12,n1)))|(![B]: a_select3(q,pv10,A)=divide(sqrt(times(minus(a_select3(center,A,n0),a_select2(x,pv10)),minus(a_select3(center,A,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,B,n0),a_select2(x,pv10)),minus(a_select3(center,B,n0),a_select2(x,pv10))))))))))&(![C]: ((~leq(n0,C)|~leq(C,minus(pv10,n1)))|(![D]: sum(n0,minus(n5,n1),a_select3(q,C,D))=n1))))&((((((~n0=sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))|~leq(n0,pv10))|~leq(n0,pv12))|~leq(pv10,minus(n135300,n1)))|~leq(pv12,minus(n5,n1)))|(?[E,F]: pd0_3(F,E)))|(?[G]: ((leq(n0,G)&leq(G,minus(pv10,n1)))&(?[H]: ~sum(n0,minus(n5,n1),a_select3(q,G,H))=n1))))),
% 0.20/0.53    inference(miniscoping,[status(esa)],[f253])).
% 0.20/0.53  fof(f255,plain,(
% 0.20/0.53    (((((leq(n0,pv10)&leq(n0,pv12))&leq(pv10,minus(n135300,n1)))&leq(pv12,minus(n5,n1)))&(![A]: ((~leq(n0,A)|~leq(A,minus(pv12,n1)))|(![B]: a_select3(q,pv10,A)=divide(sqrt(times(minus(a_select3(center,A,n0),a_select2(x,pv10)),minus(a_select3(center,A,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,B,n0),a_select2(x,pv10)),minus(a_select3(center,B,n0),a_select2(x,pv10))))))))))&(![C]: ((~leq(n0,C)|~leq(C,minus(pv10,n1)))|(![D]: sum(n0,minus(n5,n1),a_select3(q,C,D))=n1))))&((((((~n0=sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))|~leq(n0,pv10))|~leq(n0,pv12))|~leq(pv10,minus(n135300,n1)))|~leq(pv12,minus(n5,n1)))|pd0_3(sk0_24,sk0_23))|((leq(n0,sk0_25)&leq(sk0_25,minus(pv10,n1)))&~sum(n0,minus(n5,n1),a_select3(q,sk0_25,sk0_26))=n1))),
% 0.20/0.53    inference(skolemization,[status(esa)],[f254])).
% 0.20/0.53  fof(f256,plain,(
% 0.20/0.53    leq(n0,pv10)),
% 0.20/0.53    inference(cnf_transformation,[status(esa)],[f255])).
% 0.20/0.53  fof(f257,plain,(
% 0.20/0.53    leq(n0,pv12)),
% 0.20/0.53    inference(cnf_transformation,[status(esa)],[f255])).
% 0.20/0.53  fof(f258,plain,(
% 0.20/0.53    leq(pv10,minus(n135300,n1))),
% 0.20/0.53    inference(cnf_transformation,[status(esa)],[f255])).
% 0.20/0.53  fof(f259,plain,(
% 0.20/0.53    leq(pv12,minus(n5,n1))),
% 0.20/0.53    inference(cnf_transformation,[status(esa)],[f255])).
% 0.20/0.53  fof(f260,plain,(
% 0.20/0.53    ![X0,X1]: (~leq(n0,X0)|~leq(X0,minus(pv12,n1))|a_select3(q,pv10,X0)=divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))))))),
% 0.20/0.53    inference(cnf_transformation,[status(esa)],[f255])).
% 0.20/0.53  fof(f261,plain,(
% 0.20/0.53    ![X0,X1]: (~leq(n0,X0)|~leq(X0,minus(pv10,n1))|sum(n0,minus(n5,n1),a_select3(q,X0,X1))=n1)),
% 0.20/0.53    inference(cnf_transformation,[status(esa)],[f255])).
% 0.20/0.53  fof(f262,plain,(
% 0.20/0.53    ~n0=sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))|~leq(n0,pv10)|~leq(n0,pv12)|~leq(pv10,minus(n135300,n1))|~leq(pv12,minus(n5,n1))|pd0_3(sk0_24,sk0_23)|leq(n0,sk0_25)),
% 0.20/0.53    inference(cnf_transformation,[status(esa)],[f255])).
% 0.20/0.53  fof(f263,plain,(
% 0.20/0.53    ~n0=sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))|~leq(n0,pv10)|~leq(n0,pv12)|~leq(pv10,minus(n135300,n1))|~leq(pv12,minus(n5,n1))|pd0_3(sk0_24,sk0_23)|leq(sk0_25,minus(pv10,n1))),
% 0.20/0.53    inference(cnf_transformation,[status(esa)],[f255])).
% 0.20/0.53  fof(f264,plain,(
% 0.20/0.53    ~n0=sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))|~leq(n0,pv10)|~leq(n0,pv12)|~leq(pv10,minus(n135300,n1))|~leq(pv12,minus(n5,n1))|pd0_3(sk0_24,sk0_23)|~sum(n0,minus(n5,n1),a_select3(q,sk0_25,sk0_26))=n1),
% 0.20/0.53    inference(cnf_transformation,[status(esa)],[f255])).
% 0.20/0.53  fof(f331,plain,(
% 0.20/0.53    ![E,F]: (~pd0_3(F,E)|((leq(n0,E)&leq(E,minus(pv12,n1)))&~a_select3(q,pv10,E)=divide(sqrt(times(minus(a_select3(center,E,n0),a_select2(x,pv10)),minus(a_select3(center,E,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,F,n0),a_select2(x,pv10)),minus(a_select3(center,F,n0),a_select2(x,pv10))))))))),
% 0.20/0.53    inference(pre_NNF_transformation,[status(esa)],[f252])).
% 0.20/0.53  fof(f332,plain,(
% 0.20/0.53    ![X0,X1]: (~pd0_3(X0,X1)|leq(n0,X1))),
% 0.20/0.53    inference(cnf_transformation,[status(esa)],[f331])).
% 0.20/0.53  fof(f333,plain,(
% 0.20/0.53    ![X0,X1]: (~pd0_3(X0,X1)|leq(X1,minus(pv12,n1)))),
% 0.20/0.53    inference(cnf_transformation,[status(esa)],[f331])).
% 0.20/0.53  fof(f334,plain,(
% 0.20/0.53    ![X0,X1]: (~pd0_3(X0,X1)|~a_select3(q,pv10,X1)=divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))))))),
% 0.20/0.53    inference(cnf_transformation,[status(esa)],[f331])).
% 0.20/0.53  fof(f341,plain,(
% 0.20/0.53    spl0_0 <=> n0=sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))),
% 0.20/0.53    introduced(split_symbol_definition)).
% 0.20/0.53  fof(f343,plain,(
% 0.20/0.53    ~n0=sum(n0,minus(n0,n1),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))|spl0_0),
% 0.20/0.53    inference(component_clause,[status(thm)],[f341])).
% 0.20/0.53  fof(f344,plain,(
% 0.20/0.53    spl0_1 <=> leq(n0,pv10)),
% 0.20/0.53    introduced(split_symbol_definition)).
% 0.20/0.53  fof(f346,plain,(
% 0.20/0.53    ~leq(n0,pv10)|spl0_1),
% 0.20/0.53    inference(component_clause,[status(thm)],[f344])).
% 0.20/0.53  fof(f347,plain,(
% 0.20/0.53    spl0_2 <=> leq(n0,pv12)),
% 0.20/0.53    introduced(split_symbol_definition)).
% 0.20/0.53  fof(f349,plain,(
% 0.20/0.53    ~leq(n0,pv12)|spl0_2),
% 0.20/0.53    inference(component_clause,[status(thm)],[f347])).
% 0.20/0.53  fof(f350,plain,(
% 0.20/0.53    spl0_3 <=> leq(pv10,minus(n135300,n1))),
% 0.20/0.53    introduced(split_symbol_definition)).
% 0.20/0.53  fof(f352,plain,(
% 0.20/0.53    ~leq(pv10,minus(n135300,n1))|spl0_3),
% 0.20/0.53    inference(component_clause,[status(thm)],[f350])).
% 0.20/0.53  fof(f353,plain,(
% 0.20/0.53    spl0_4 <=> leq(pv12,minus(n5,n1))),
% 0.20/0.53    introduced(split_symbol_definition)).
% 0.20/0.53  fof(f355,plain,(
% 0.20/0.53    ~leq(pv12,minus(n5,n1))|spl0_4),
% 0.20/0.53    inference(component_clause,[status(thm)],[f353])).
% 0.20/0.53  fof(f356,plain,(
% 0.20/0.53    spl0_5 <=> pd0_3(sk0_24,sk0_23)),
% 0.20/0.53    introduced(split_symbol_definition)).
% 0.20/0.53  fof(f357,plain,(
% 0.20/0.53    pd0_3(sk0_24,sk0_23)|~spl0_5),
% 0.20/0.53    inference(component_clause,[status(thm)],[f356])).
% 0.20/0.53  fof(f359,plain,(
% 0.20/0.53    spl0_6 <=> leq(n0,sk0_25)),
% 0.20/0.53    introduced(split_symbol_definition)).
% 0.20/0.53  fof(f360,plain,(
% 0.20/0.53    leq(n0,sk0_25)|~spl0_6),
% 0.20/0.53    inference(component_clause,[status(thm)],[f359])).
% 0.20/0.53  fof(f362,plain,(
% 0.20/0.53    ~spl0_0|~spl0_1|~spl0_2|~spl0_3|~spl0_4|spl0_5|spl0_6),
% 0.20/0.53    inference(split_clause,[status(thm)],[f262,f341,f344,f347,f350,f353,f356,f359])).
% 0.20/0.53  fof(f363,plain,(
% 0.20/0.53    spl0_7 <=> leq(sk0_25,minus(pv10,n1))),
% 0.20/0.53    introduced(split_symbol_definition)).
% 0.20/0.53  fof(f364,plain,(
% 0.20/0.53    leq(sk0_25,minus(pv10,n1))|~spl0_7),
% 0.20/0.53    inference(component_clause,[status(thm)],[f363])).
% 0.20/0.53  fof(f366,plain,(
% 0.20/0.53    ~spl0_0|~spl0_1|~spl0_2|~spl0_3|~spl0_4|spl0_5|spl0_7),
% 0.20/0.53    inference(split_clause,[status(thm)],[f263,f341,f344,f347,f350,f353,f356,f363])).
% 0.20/0.53  fof(f367,plain,(
% 0.20/0.53    spl0_8 <=> sum(n0,minus(n5,n1),a_select3(q,sk0_25,sk0_26))=n1),
% 0.20/0.53    introduced(split_symbol_definition)).
% 0.20/0.53  fof(f369,plain,(
% 0.20/0.53    ~sum(n0,minus(n5,n1),a_select3(q,sk0_25,sk0_26))=n1|spl0_8),
% 0.20/0.53    inference(component_clause,[status(thm)],[f367])).
% 0.20/0.53  fof(f370,plain,(
% 0.20/0.53    ~spl0_0|~spl0_1|~spl0_2|~spl0_3|~spl0_4|spl0_5|~spl0_8),
% 0.20/0.53    inference(split_clause,[status(thm)],[f264,f341,f344,f347,f350,f353,f356,f367])).
% 0.20/0.53  fof(f376,plain,(
% 0.20/0.53    leq(pv10,pred(n135300))),
% 0.20/0.53    inference(forward_demodulation,[status(thm)],[f217,f258])).
% 0.20/0.53  fof(f377,plain,(
% 0.20/0.53    leq(pv12,pred(n5))),
% 0.20/0.53    inference(forward_demodulation,[status(thm)],[f217,f259])).
% 0.20/0.53  fof(f378,plain,(
% 0.20/0.53    ![X0,X1]: (~leq(n0,X0)|~leq(X0,pred(pv12))|a_select3(q,pv10,X0)=divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))))))),
% 0.20/0.53    inference(forward_demodulation,[status(thm)],[f217,f260])).
% 0.20/0.53  fof(f379,plain,(
% 0.20/0.53    ![X0,X1]: (~leq(n0,X0)|~leq(X0,pred(pv12))|a_select3(q,pv10,X0)=divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,pred(n5),sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))))))),
% 0.20/0.53    inference(forward_demodulation,[status(thm)],[f217,f378])).
% 0.20/0.53  fof(f380,plain,(
% 0.20/0.53    ![X0,X1]: (~leq(n0,X0)|~leq(X0,pred(pv10))|sum(n0,minus(n5,n1),a_select3(q,X0,X1))=n1)),
% 0.20/0.53    inference(forward_demodulation,[status(thm)],[f217,f261])).
% 0.20/0.53  fof(f381,plain,(
% 0.20/0.53    ![X0,X1]: (~leq(n0,X0)|~leq(X0,pred(pv10))|sum(n0,pred(n5),a_select3(q,X0,X1))=n1)),
% 0.20/0.53    inference(forward_demodulation,[status(thm)],[f217,f380])).
% 0.20/0.53  fof(f387,plain,(
% 0.20/0.53    ![X0,X1]: (~pd0_3(X0,X1)|leq(X1,pred(pv12)))),
% 0.20/0.53    inference(forward_demodulation,[status(thm)],[f217,f333])).
% 0.20/0.53  fof(f388,plain,(
% 0.20/0.53    ![X0,X1]: (~pd0_3(X0,X1)|~a_select3(q,pv10,X1)=divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,pred(n5),sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))))))),
% 0.20/0.53    inference(forward_demodulation,[status(thm)],[f217,f334])).
% 0.20/0.53  fof(f389,plain,(
% 0.20/0.53    ~sum(n0,pred(n5),a_select3(q,sk0_25,sk0_26))=n1|spl0_8),
% 0.20/0.53    inference(forward_demodulation,[status(thm)],[f217,f369])).
% 0.20/0.53  fof(f390,plain,(
% 0.20/0.53    ~leq(pv12,pred(n5))|spl0_4),
% 0.20/0.53    inference(forward_demodulation,[status(thm)],[f217,f355])).
% 0.20/0.53  fof(f391,plain,(
% 0.20/0.53    $false|spl0_4),
% 0.20/0.53    inference(forward_subsumption_resolution,[status(thm)],[f390,f377])).
% 0.20/0.53  fof(f392,plain,(
% 0.20/0.53    spl0_4),
% 0.20/0.53    inference(contradiction_clause,[status(thm)],[f391])).
% 0.20/0.53  fof(f395,plain,(
% 0.20/0.53    ~leq(pv10,pred(n135300))|spl0_3),
% 0.20/0.53    inference(forward_demodulation,[status(thm)],[f217,f352])).
% 0.20/0.53  fof(f396,plain,(
% 0.20/0.53    $false|spl0_3),
% 0.20/0.53    inference(forward_subsumption_resolution,[status(thm)],[f395,f376])).
% 0.20/0.53  fof(f397,plain,(
% 0.20/0.53    spl0_3),
% 0.20/0.53    inference(contradiction_clause,[status(thm)],[f396])).
% 0.20/0.53  fof(f399,plain,(
% 0.20/0.53    $false|spl0_2),
% 0.20/0.53    inference(forward_subsumption_resolution,[status(thm)],[f349,f257])).
% 0.20/0.53  fof(f400,plain,(
% 0.20/0.53    spl0_2),
% 0.20/0.53    inference(contradiction_clause,[status(thm)],[f399])).
% 0.20/0.53  fof(f402,plain,(
% 0.20/0.53    $false|spl0_1),
% 0.20/0.53    inference(forward_subsumption_resolution,[status(thm)],[f346,f256])).
% 0.20/0.53  fof(f403,plain,(
% 0.20/0.53    spl0_1),
% 0.20/0.53    inference(contradiction_clause,[status(thm)],[f402])).
% 0.20/0.53  fof(f404,plain,(
% 0.20/0.53    ~n0=sum(n0,pred(n0),sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))|spl0_0),
% 0.20/0.53    inference(forward_demodulation,[status(thm)],[f217,f343])).
% 0.20/0.53  fof(f421,plain,(
% 0.20/0.53    ![X0,X1,X2]: (~leq(X0,pred(pv12))|a_select3(q,pv10,X0)=divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,pred(n5),sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10))))))|~pd0_3(X2,X0))),
% 0.20/0.53    inference(resolution,[status(thm)],[f379,f332])).
% 0.20/0.53  fof(f422,plain,(
% 0.20/0.53    ![X0,X1,X2]: (a_select3(q,pv10,X0)=divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,pred(n5),sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10))))))|~pd0_3(X2,X0))),
% 0.20/0.53    inference(forward_subsumption_resolution,[status(thm)],[f421,f387])).
% 0.20/0.53  fof(f423,plain,(
% 0.20/0.53    ![X0,X1]: (~pd0_3(X0,X1))),
% 0.20/0.53    inference(backward_subsumption_resolution,[status(thm)],[f388,f422])).
% 0.20/0.53  fof(f440,plain,(
% 0.20/0.53    pred(n0)=tptp_minus_1),
% 0.20/0.53    inference(paramodulation,[status(thm)],[f206,f218])).
% 0.20/0.53  fof(f441,plain,(
% 0.20/0.53    ~n0=sum(n0,tptp_minus_1,sqrt(times(minus(a_select3(center,pv71,n0),a_select2(x,pv10)),minus(a_select3(center,pv71,n0),a_select2(x,pv10)))))|spl0_0),
% 0.20/0.53    inference(backward_demodulation,[status(thm)],[f440,f404])).
% 0.20/0.53  fof(f442,plain,(
% 0.20/0.53    $false|spl0_0),
% 0.20/0.53    inference(forward_subsumption_resolution,[status(thm)],[f441,f204])).
% 0.20/0.53  fof(f443,plain,(
% 0.20/0.53    spl0_0),
% 0.20/0.53    inference(contradiction_clause,[status(thm)],[f442])).
% 0.20/0.53  fof(f444,plain,(
% 0.20/0.53    $false|~spl0_5),
% 0.20/0.53    inference(forward_subsumption_resolution,[status(thm)],[f357,f423])).
% 0.20/0.53  fof(f445,plain,(
% 0.20/0.53    ~spl0_5),
% 0.20/0.53    inference(contradiction_clause,[status(thm)],[f444])).
% 0.20/0.53  fof(f448,plain,(
% 0.20/0.53    leq(sk0_25,pred(pv10))|~spl0_7),
% 0.20/0.53    inference(forward_demodulation,[status(thm)],[f217,f364])).
% 0.20/0.53  fof(f728,plain,(
% 0.20/0.53    spl0_39 <=> leq(pred(pv10),pred(pv10))),
% 0.20/0.53    introduced(split_symbol_definition)).
% 0.20/0.53  fof(f730,plain,(
% 0.20/0.53    ~leq(pred(pv10),pred(pv10))|spl0_39),
% 0.20/0.53    inference(component_clause,[status(thm)],[f728])).
% 0.20/0.53  fof(f736,plain,(
% 0.20/0.53    spl0_41 <=> leq(sk0_25,pred(pv10))),
% 0.20/0.53    introduced(split_symbol_definition)).
% 0.20/0.53  fof(f738,plain,(
% 0.20/0.53    ~leq(sk0_25,pred(pv10))|spl0_41),
% 0.20/0.53    inference(component_clause,[status(thm)],[f736])).
% 0.20/0.53  fof(f739,plain,(
% 0.20/0.53    spl0_42 <=> sum(n0,pred(n5),a_select3(q,sk0_25,X0))=n1),
% 0.20/0.53    introduced(split_symbol_definition)).
% 0.20/0.53  fof(f740,plain,(
% 0.20/0.53    ![X0]: (sum(n0,pred(n5),a_select3(q,sk0_25,X0))=n1|~spl0_42)),
% 0.20/0.53    inference(component_clause,[status(thm)],[f739])).
% 0.20/0.53  fof(f742,plain,(
% 0.20/0.53    ![X0]: (~leq(sk0_25,pred(pv10))|sum(n0,pred(n5),a_select3(q,sk0_25,X0))=n1|~spl0_6)),
% 0.20/0.53    inference(resolution,[status(thm)],[f381,f360])).
% 0.20/0.53  fof(f743,plain,(
% 0.20/0.53    ~spl0_41|spl0_42|~spl0_6),
% 0.20/0.53    inference(split_clause,[status(thm)],[f742,f736,f739,f359])).
% 0.20/0.53  fof(f790,plain,(
% 0.20/0.53    $false|spl0_39),
% 0.20/0.53    inference(forward_subsumption_resolution,[status(thm)],[f730,f99])).
% 0.20/0.53  fof(f791,plain,(
% 0.20/0.53    spl0_39),
% 0.20/0.53    inference(contradiction_clause,[status(thm)],[f790])).
% 0.20/0.53  fof(f792,plain,(
% 0.20/0.53    $false|~spl0_7|spl0_41),
% 0.20/0.53    inference(forward_subsumption_resolution,[status(thm)],[f738,f448])).
% 0.20/0.53  fof(f793,plain,(
% 0.20/0.53    ~spl0_7|spl0_41),
% 0.20/0.53    inference(contradiction_clause,[status(thm)],[f792])).
% 0.20/0.53  fof(f796,plain,(
% 0.20/0.53    $false|~spl0_42|spl0_8),
% 0.20/0.53    inference(backward_subsumption_resolution,[status(thm)],[f389,f740])).
% 0.20/0.53  fof(f797,plain,(
% 0.20/0.53    ~spl0_42|spl0_8),
% 0.20/0.53    inference(contradiction_clause,[status(thm)],[f796])).
% 0.20/0.53  fof(f798,plain,(
% 0.20/0.53    $false),
% 0.20/0.53    inference(sat_refutation,[status(thm)],[f362,f366,f370,f392,f397,f400,f403,f443,f445,f743,f791,f793,f797])).
% 0.20/0.53  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.54  % Elapsed time: 0.193827 seconds
% 0.20/0.54  % CPU time: 1.382726 seconds
% 0.20/0.54  % Memory used: 72.587 MB
%------------------------------------------------------------------------------