TSTP Solution File: SWV055+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV055+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 : Tue Apr 30 20:45:52 EDT 2024
% Result : Theorem 4.01s 0.90s
% Output : CNFRefutation 4.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV055+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:41:19 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.38 % Drodi V3.6.0
% 4.01/0.90 % Refutation found
% 4.01/0.90 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.01/0.90 % SZS output start CNFRefutation for theBenchmark
% 4.01/0.90 fof(f2,axiom,(
% 4.01/0.90 (! [X,Y,Z] :( ( gt(X,Y)& gt(Y,Z) )=> gt(X,Z) ) )),
% 4.01/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.01/0.90 fof(f3,axiom,(
% 4.01/0.90 (! [X] : ~ gt(X,X) )),
% 4.01/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.01/0.90 fof(f4,axiom,(
% 4.01/0.90 (! [X] : leq(X,X) )),
% 4.01/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.01/0.90 fof(f8,axiom,(
% 4.01/0.90 (! [X,Y] :( gt(Y,X)=> leq(X,Y) ) )),
% 4.01/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.01/0.90 fof(f9,axiom,(
% 4.01/0.90 (! [X,Y] :( ( leq(X,Y)& X != Y )=> gt(Y,X) ) )),
% 4.01/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.01/0.90 fof(f10,axiom,(
% 4.01/0.90 (! [X,Y] :( leq(X,pred(Y))<=> gt(Y,X) ) )),
% 4.01/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.01/0.90 fof(f39,axiom,(
% 4.01/0.90 (! [X] : minus(X,n1) = pred(X) )),
% 4.01/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.01/0.90 fof(f53,conjecture,(
% 4.01/0.90 ( ( leq(n0,pv10)& leq(pv10,minus(n135300,n1))& (! [A,B] :( ( leq(n0,A)& leq(A,minus(pv10,n1)) )=> sum(n0,minus(n5,n1),a_select3(q,A,B)) = n1 ) ))=> ( leq(n0,pv10)& leq(pv10,minus(n135300,n1))& (! [C,D] :( ( leq(n0,C)& leq(C,minus(n0,n1)) )=> a_select3(q,pv10,C) = divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,D,n0),a_select2(x,pv10)),minus(a_select3(center,D,n0),a_select2(x,pv10)))))) ))& (! [E,F] :( ( leq(n0,E)& leq(E,minus(pv10,n1)) )=> sum(n0,minus(n5,n1),a_select3(q,E,F)) = n1 ) )) ) ),
% 4.01/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.01/0.90 fof(f54,negated_conjecture,(
% 4.01/0.90 ~(( ( leq(n0,pv10)& leq(pv10,minus(n135300,n1))& (! [A,B] :( ( leq(n0,A)& leq(A,minus(pv10,n1)) )=> sum(n0,minus(n5,n1),a_select3(q,A,B)) = n1 ) ))=> ( leq(n0,pv10)& leq(pv10,minus(n135300,n1))& (! [C,D] :( ( leq(n0,C)& leq(C,minus(n0,n1)) )=> a_select3(q,pv10,C) = divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,D,n0),a_select2(x,pv10)),minus(a_select3(center,D,n0),a_select2(x,pv10)))))) ))& (! [E,F] :( ( leq(n0,E)& leq(E,minus(pv10,n1)) )=> sum(n0,minus(n5,n1),a_select3(q,E,F)) = n1 ) )) ) )),
% 4.01/0.90 inference(negated_conjecture,[status(cth)],[f53])).
% 4.01/0.90 fof(f85,axiom,(
% 4.01/0.90 (! [X] :( ( leq(n0,X)& leq(X,n0) )=> X = n0 ) )),
% 4.01/0.90 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.01/0.90 fof(f95,plain,(
% 4.01/0.90 ![X,Y,Z]: ((~gt(X,Y)|~gt(Y,Z))|gt(X,Z))),
% 4.01/0.90 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 4.01/0.90 fof(f96,plain,(
% 4.01/0.90 ![X,Z]: ((![Y]: (~gt(X,Y)|~gt(Y,Z)))|gt(X,Z))),
% 4.01/0.90 inference(miniscoping,[status(esa)],[f95])).
% 4.01/0.90 fof(f97,plain,(
% 4.01/0.90 ![X0,X1,X2]: (~gt(X0,X1)|~gt(X1,X2)|gt(X0,X2))),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f96])).
% 4.01/0.90 fof(f98,plain,(
% 4.01/0.90 ![X0]: (~gt(X0,X0))),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f3])).
% 4.01/0.90 fof(f99,plain,(
% 4.01/0.90 ![X0]: (leq(X0,X0))),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f4])).
% 4.01/0.90 fof(f111,plain,(
% 4.01/0.90 ![X,Y]: (~gt(Y,X)|leq(X,Y))),
% 4.01/0.90 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 4.01/0.90 fof(f112,plain,(
% 4.01/0.90 ![X0,X1]: (~gt(X0,X1)|leq(X1,X0))),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f111])).
% 4.01/0.90 fof(f113,plain,(
% 4.01/0.90 ![X,Y]: ((~leq(X,Y)|X=Y)|gt(Y,X))),
% 4.01/0.90 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 4.01/0.90 fof(f114,plain,(
% 4.01/0.90 ![X0,X1]: (~leq(X0,X1)|X0=X1|gt(X1,X0))),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f113])).
% 4.01/0.90 fof(f115,plain,(
% 4.01/0.90 ![X,Y]: ((~leq(X,pred(Y))|gt(Y,X))&(leq(X,pred(Y))|~gt(Y,X)))),
% 4.01/0.90 inference(NNF_transformation,[status(esa)],[f10])).
% 4.01/0.90 fof(f116,plain,(
% 4.01/0.90 (![X,Y]: (~leq(X,pred(Y))|gt(Y,X)))&(![X,Y]: (leq(X,pred(Y))|~gt(Y,X)))),
% 4.01/0.90 inference(miniscoping,[status(esa)],[f115])).
% 4.01/0.90 fof(f117,plain,(
% 4.01/0.90 ![X0,X1]: (~leq(X0,pred(X1))|gt(X1,X0))),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f116])).
% 4.01/0.90 fof(f217,plain,(
% 4.01/0.90 ![X0]: (minus(X0,n1)=pred(X0))),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f39])).
% 4.01/0.90 fof(f251,plain,(
% 4.01/0.90 (((leq(n0,pv10)&leq(pv10,minus(n135300,n1)))&(![A,B]: ((~leq(n0,A)|~leq(A,minus(pv10,n1)))|sum(n0,minus(n5,n1),a_select3(q,A,B))=n1)))&(((~leq(n0,pv10)|~leq(pv10,minus(n135300,n1)))|(?[C,D]: ((leq(n0,C)&leq(C,minus(n0,n1)))&~a_select3(q,pv10,C)=divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,D,n0),a_select2(x,pv10)),minus(a_select3(center,D,n0),a_select2(x,pv10)))))))))|(?[E,F]: ((leq(n0,E)&leq(E,minus(pv10,n1)))&~sum(n0,minus(n5,n1),a_select3(q,E,F))=n1))))),
% 4.01/0.90 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 4.01/0.90 fof(f252,plain,(
% 4.01/0.90 ![C,D]: (pd0_3(D,C)=>((leq(n0,C)&leq(C,minus(n0,n1)))&~a_select3(q,pv10,C)=divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,D,n0),a_select2(x,pv10)),minus(a_select3(center,D,n0),a_select2(x,pv10))))))))),
% 4.01/0.90 introduced(predicate_definition,[f251])).
% 4.01/0.90 fof(f253,plain,(
% 4.01/0.90 ((leq(n0,pv10)&leq(pv10,minus(n135300,n1)))&(![A,B]: ((~leq(n0,A)|~leq(A,minus(pv10,n1)))|sum(n0,minus(n5,n1),a_select3(q,A,B))=n1)))&(((~leq(n0,pv10)|~leq(pv10,minus(n135300,n1)))|(?[C,D]: pd0_3(D,C)))|(?[E,F]: ((leq(n0,E)&leq(E,minus(pv10,n1)))&~sum(n0,minus(n5,n1),a_select3(q,E,F))=n1)))),
% 4.01/0.90 inference(formula_renaming,[status(thm)],[f251,f252])).
% 4.01/0.90 fof(f254,plain,(
% 4.01/0.90 ((leq(n0,pv10)&leq(pv10,minus(n135300,n1)))&(![A]: ((~leq(n0,A)|~leq(A,minus(pv10,n1)))|(![B]: sum(n0,minus(n5,n1),a_select3(q,A,B))=n1))))&(((~leq(n0,pv10)|~leq(pv10,minus(n135300,n1)))|(?[C,D]: pd0_3(D,C)))|(?[E]: ((leq(n0,E)&leq(E,minus(pv10,n1)))&(?[F]: ~sum(n0,minus(n5,n1),a_select3(q,E,F))=n1))))),
% 4.01/0.90 inference(miniscoping,[status(esa)],[f253])).
% 4.01/0.90 fof(f255,plain,(
% 4.01/0.90 ((leq(n0,pv10)&leq(pv10,minus(n135300,n1)))&(![A]: ((~leq(n0,A)|~leq(A,minus(pv10,n1)))|(![B]: sum(n0,minus(n5,n1),a_select3(q,A,B))=n1))))&(((~leq(n0,pv10)|~leq(pv10,minus(n135300,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))),
% 4.01/0.90 inference(skolemization,[status(esa)],[f254])).
% 4.01/0.90 fof(f256,plain,(
% 4.01/0.90 leq(n0,pv10)),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f255])).
% 4.01/0.90 fof(f257,plain,(
% 4.01/0.90 leq(pv10,minus(n135300,n1))),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f255])).
% 4.01/0.90 fof(f258,plain,(
% 4.01/0.90 ![X0,X1]: (~leq(n0,X0)|~leq(X0,minus(pv10,n1))|sum(n0,minus(n5,n1),a_select3(q,X0,X1))=n1)),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f255])).
% 4.01/0.90 fof(f259,plain,(
% 4.01/0.90 ~leq(n0,pv10)|~leq(pv10,minus(n135300,n1))|pd0_3(sk0_24,sk0_23)|leq(n0,sk0_25)),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f255])).
% 4.01/0.90 fof(f260,plain,(
% 4.01/0.90 ~leq(n0,pv10)|~leq(pv10,minus(n135300,n1))|pd0_3(sk0_24,sk0_23)|leq(sk0_25,minus(pv10,n1))),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f255])).
% 4.01/0.90 fof(f261,plain,(
% 4.01/0.90 ~leq(n0,pv10)|~leq(pv10,minus(n135300,n1))|pd0_3(sk0_24,sk0_23)|~sum(n0,minus(n5,n1),a_select3(q,sk0_25,sk0_26))=n1),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f255])).
% 4.01/0.90 fof(f294,plain,(
% 4.01/0.90 ![X]: ((~leq(n0,X)|~leq(X,n0))|X=n0)),
% 4.01/0.90 inference(pre_NNF_transformation,[status(esa)],[f85])).
% 4.01/0.90 fof(f295,plain,(
% 4.01/0.90 ![X0]: (~leq(n0,X0)|~leq(X0,n0)|X0=n0)),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f294])).
% 4.01/0.90 fof(f328,plain,(
% 4.01/0.90 ![C,D]: (~pd0_3(D,C)|((leq(n0,C)&leq(C,minus(n0,n1)))&~a_select3(q,pv10,C)=divide(sqrt(times(minus(a_select3(center,C,n0),a_select2(x,pv10)),minus(a_select3(center,C,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,D,n0),a_select2(x,pv10)),minus(a_select3(center,D,n0),a_select2(x,pv10))))))))),
% 4.01/0.90 inference(pre_NNF_transformation,[status(esa)],[f252])).
% 4.01/0.90 fof(f329,plain,(
% 4.01/0.90 ![X0,X1]: (~pd0_3(X0,X1)|leq(n0,X1))),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f328])).
% 4.01/0.90 fof(f330,plain,(
% 4.01/0.90 ![X0,X1]: (~pd0_3(X0,X1)|leq(X1,minus(n0,n1)))),
% 4.01/0.90 inference(cnf_transformation,[status(esa)],[f328])).
% 4.01/0.90 fof(f338,plain,(
% 4.01/0.90 spl0_0 <=> leq(n0,pv10)),
% 4.01/0.90 introduced(split_symbol_definition)).
% 4.01/0.90 fof(f340,plain,(
% 4.01/0.90 ~leq(n0,pv10)|spl0_0),
% 4.01/0.90 inference(component_clause,[status(thm)],[f338])).
% 4.01/0.90 fof(f341,plain,(
% 4.01/0.90 spl0_1 <=> leq(pv10,minus(n135300,n1))),
% 4.01/0.90 introduced(split_symbol_definition)).
% 4.01/0.90 fof(f343,plain,(
% 4.01/0.90 ~leq(pv10,minus(n135300,n1))|spl0_1),
% 4.01/0.90 inference(component_clause,[status(thm)],[f341])).
% 4.01/0.90 fof(f344,plain,(
% 4.01/0.90 spl0_2 <=> pd0_3(sk0_24,sk0_23)),
% 4.01/0.90 introduced(split_symbol_definition)).
% 4.01/0.90 fof(f345,plain,(
% 4.01/0.90 pd0_3(sk0_24,sk0_23)|~spl0_2),
% 4.01/0.90 inference(component_clause,[status(thm)],[f344])).
% 4.01/0.90 fof(f347,plain,(
% 4.01/0.90 spl0_3 <=> leq(n0,sk0_25)),
% 4.01/0.90 introduced(split_symbol_definition)).
% 4.01/0.90 fof(f350,plain,(
% 4.01/0.90 ~spl0_0|~spl0_1|spl0_2|spl0_3),
% 4.01/0.90 inference(split_clause,[status(thm)],[f259,f338,f341,f344,f347])).
% 4.01/0.90 fof(f351,plain,(
% 4.01/0.90 spl0_4 <=> leq(sk0_25,minus(pv10,n1))),
% 4.01/0.90 introduced(split_symbol_definition)).
% 4.01/0.90 fof(f352,plain,(
% 4.01/0.90 leq(sk0_25,minus(pv10,n1))|~spl0_4),
% 4.01/0.90 inference(component_clause,[status(thm)],[f351])).
% 4.01/0.90 fof(f354,plain,(
% 4.01/0.90 ~spl0_0|~spl0_1|spl0_2|spl0_4),
% 4.01/0.90 inference(split_clause,[status(thm)],[f260,f338,f341,f344,f351])).
% 4.01/0.90 fof(f355,plain,(
% 4.01/0.90 spl0_5 <=> sum(n0,minus(n5,n1),a_select3(q,sk0_25,sk0_26))=n1),
% 4.01/0.90 introduced(split_symbol_definition)).
% 4.01/0.90 fof(f357,plain,(
% 4.01/0.90 ~sum(n0,minus(n5,n1),a_select3(q,sk0_25,sk0_26))=n1|spl0_5),
% 4.01/0.90 inference(component_clause,[status(thm)],[f355])).
% 4.01/0.90 fof(f358,plain,(
% 4.01/0.90 ~spl0_0|~spl0_1|spl0_2|~spl0_5),
% 4.01/0.90 inference(split_clause,[status(thm)],[f261,f338,f341,f344,f355])).
% 4.01/0.90 fof(f377,plain,(
% 4.01/0.90 leq(pv10,pred(n135300))),
% 4.01/0.90 inference(forward_demodulation,[status(thm)],[f217,f257])).
% 4.01/0.90 fof(f378,plain,(
% 4.01/0.90 ![X0,X1]: (~leq(n0,X0)|~leq(X0,pred(pv10))|sum(n0,minus(n5,n1),a_select3(q,X0,X1))=n1)),
% 4.01/0.90 inference(forward_demodulation,[status(thm)],[f217,f258])).
% 4.01/0.90 fof(f379,plain,(
% 4.01/0.90 ![X0,X1]: (~leq(n0,X0)|~leq(X0,pred(pv10))|sum(n0,pred(n5),a_select3(q,X0,X1))=n1)),
% 4.01/0.90 inference(forward_demodulation,[status(thm)],[f217,f378])).
% 4.01/0.90 fof(f390,plain,(
% 4.01/0.90 ![X0,X1]: (~pd0_3(X0,X1)|leq(X1,pred(n0)))),
% 4.01/0.90 inference(forward_demodulation,[status(thm)],[f217,f330])).
% 4.01/0.90 fof(f392,plain,(
% 4.01/0.90 ~sum(n0,pred(n5),a_select3(q,sk0_25,sk0_26))=n1|spl0_5),
% 4.01/0.90 inference(forward_demodulation,[status(thm)],[f217,f357])).
% 4.01/0.90 fof(f393,plain,(
% 4.01/0.90 ~leq(pv10,pred(n135300))|spl0_1),
% 4.01/0.90 inference(forward_demodulation,[status(thm)],[f217,f343])).
% 4.01/0.90 fof(f394,plain,(
% 4.01/0.90 $false|spl0_1),
% 4.01/0.90 inference(forward_subsumption_resolution,[status(thm)],[f393,f377])).
% 4.01/0.90 fof(f395,plain,(
% 4.01/0.90 spl0_1),
% 4.01/0.90 inference(contradiction_clause,[status(thm)],[f394])).
% 4.01/0.90 fof(f396,plain,(
% 4.01/0.90 $false|spl0_0),
% 4.01/0.90 inference(forward_subsumption_resolution,[status(thm)],[f340,f256])).
% 4.01/0.90 fof(f397,plain,(
% 4.01/0.90 spl0_0),
% 4.01/0.90 inference(contradiction_clause,[status(thm)],[f396])).
% 4.01/0.90 fof(f446,plain,(
% 4.01/0.90 ![X0,X1]: (n0=X0|gt(X0,n0)|~pd0_3(X1,X0))),
% 4.01/0.90 inference(resolution,[status(thm)],[f114,f329])).
% 4.01/0.90 fof(f478,plain,(
% 4.01/0.90 ![X0,X1]: (~gt(X0,X1)|~gt(X1,X0))),
% 4.01/0.90 inference(resolution,[status(thm)],[f97,f98])).
% 4.01/0.90 fof(f485,plain,(
% 4.01/0.90 spl0_15 <=> gt(n0,pred(n0))),
% 4.01/0.90 introduced(split_symbol_definition)).
% 4.01/0.90 fof(f486,plain,(
% 4.01/0.90 gt(n0,pred(n0))|~spl0_15),
% 4.01/0.90 inference(component_clause,[status(thm)],[f485])).
% 4.01/0.90 fof(f487,plain,(
% 4.01/0.90 ~gt(n0,pred(n0))|spl0_15),
% 4.01/0.90 inference(component_clause,[status(thm)],[f485])).
% 4.01/0.90 fof(f488,plain,(
% 4.01/0.90 spl0_16 <=> n0=pred(n0)),
% 4.01/0.90 introduced(split_symbol_definition)).
% 4.01/0.90 fof(f489,plain,(
% 4.01/0.90 n0=pred(n0)|~spl0_16),
% 4.01/0.90 inference(component_clause,[status(thm)],[f488])).
% 4.01/0.90 fof(f505,plain,(
% 4.01/0.90 spl0_18 <=> gt(n0,n0)),
% 4.01/0.90 introduced(split_symbol_definition)).
% 4.01/0.90 fof(f506,plain,(
% 4.01/0.90 gt(n0,n0)|~spl0_18),
% 4.01/0.90 inference(component_clause,[status(thm)],[f505])).
% 4.01/0.90 fof(f514,plain,(
% 4.01/0.90 spl0_20 <=> ~pd0_3(X0,n0)),
% 4.01/0.90 introduced(split_symbol_definition)).
% 4.01/0.90 fof(f515,plain,(
% 4.01/0.90 ![X0]: (~pd0_3(X0,n0)|~spl0_20)),
% 4.01/0.90 inference(component_clause,[status(thm)],[f514])).
% 4.01/0.90 fof(f519,plain,(
% 4.01/0.90 $false|~spl0_18),
% 4.01/0.90 inference(forward_subsumption_resolution,[status(thm)],[f506,f98])).
% 4.01/0.90 fof(f520,plain,(
% 4.01/0.90 ~spl0_18),
% 4.01/0.90 inference(contradiction_clause,[status(thm)],[f519])).
% 4.01/0.90 fof(f549,plain,(
% 4.01/0.90 leq(sk0_25,pred(pv10))|~spl0_4),
% 4.01/0.90 inference(forward_demodulation,[status(thm)],[f217,f352])).
% 4.01/0.90 fof(f744,plain,(
% 4.01/0.90 gt(n0,n0)|~spl0_16|~spl0_15),
% 4.01/0.90 inference(backward_demodulation,[status(thm)],[f489,f486])).
% 4.01/0.90 fof(f745,plain,(
% 4.01/0.90 spl0_18|~spl0_16|~spl0_15),
% 4.01/0.90 inference(split_clause,[status(thm)],[f744,f505,f488,f485])).
% 4.01/0.90 fof(f812,plain,(
% 4.01/0.90 ![X0,X1]: (~gt(n0,X0)|n0=X0|~pd0_3(X1,X0))),
% 4.01/0.90 inference(resolution,[status(thm)],[f478,f446])).
% 4.01/0.91 fof(f903,plain,(
% 4.01/0.91 ![X0,X1]: (gt(n0,X0)|~pd0_3(X1,X0))),
% 4.01/0.91 inference(resolution,[status(thm)],[f117,f390])).
% 4.01/0.91 fof(f906,plain,(
% 4.01/0.91 ![X0]: (gt(X0,pred(X0)))),
% 4.01/0.91 inference(resolution,[status(thm)],[f117,f99])).
% 4.01/0.91 fof(f907,plain,(
% 4.01/0.91 ![X0,X1]: (n0=X0|~pd0_3(X1,X0))),
% 4.01/0.91 inference(backward_subsumption_resolution,[status(thm)],[f812,f903])).
% 4.01/0.91 fof(f908,plain,(
% 4.01/0.91 $false|spl0_15),
% 4.01/0.91 inference(backward_subsumption_resolution,[status(thm)],[f487,f906])).
% 4.01/0.91 fof(f909,plain,(
% 4.01/0.91 spl0_15),
% 4.01/0.91 inference(contradiction_clause,[status(thm)],[f908])).
% 4.01/0.91 fof(f1069,plain,(
% 4.01/0.91 spl0_52 <=> leq(pred(n0),n0)),
% 4.01/0.91 introduced(split_symbol_definition)).
% 4.01/0.91 fof(f1071,plain,(
% 4.01/0.91 ~leq(pred(n0),n0)|spl0_52),
% 4.01/0.91 inference(component_clause,[status(thm)],[f1069])).
% 4.01/0.91 fof(f1095,plain,(
% 4.01/0.91 n0=sk0_23|~spl0_2),
% 4.01/0.91 inference(resolution,[status(thm)],[f907,f345])).
% 4.01/0.91 fof(f1096,plain,(
% 4.01/0.91 pd0_3(sk0_24,n0)|~spl0_2),
% 4.01/0.91 inference(backward_demodulation,[status(thm)],[f1095,f345])).
% 4.01/0.91 fof(f1097,plain,(
% 4.01/0.91 $false|~spl0_20|~spl0_2),
% 4.01/0.91 inference(forward_subsumption_resolution,[status(thm)],[f1096,f515])).
% 4.01/0.91 fof(f1098,plain,(
% 4.01/0.91 ~spl0_20|~spl0_2),
% 4.01/0.91 inference(contradiction_clause,[status(thm)],[f1097])).
% 4.01/0.91 fof(f1200,plain,(
% 4.01/0.91 ![X0]: (~leq(pred(n0),n0)|pred(n0)=n0|~pd0_3(X0,n0))),
% 4.01/0.91 inference(resolution,[status(thm)],[f295,f390])).
% 4.01/0.91 fof(f1201,plain,(
% 4.01/0.91 ~spl0_52|spl0_16|spl0_20),
% 4.01/0.91 inference(split_clause,[status(thm)],[f1200,f1069,f488,f514])).
% 4.01/0.91 fof(f1390,plain,(
% 4.01/0.91 ~gt(n0,pred(n0))|spl0_52),
% 4.01/0.91 inference(resolution,[status(thm)],[f1071,f112])).
% 4.01/0.91 fof(f1391,plain,(
% 4.01/0.91 ~spl0_15|spl0_52),
% 4.01/0.91 inference(split_clause,[status(thm)],[f1390,f485,f1069])).
% 4.01/0.91 fof(f1471,plain,(
% 4.01/0.91 spl0_77 <=> sum(n0,pred(n5),a_select3(q,sk0_25,X0))=n1),
% 4.01/0.91 introduced(split_symbol_definition)).
% 4.01/0.91 fof(f1472,plain,(
% 4.01/0.91 ![X0]: (sum(n0,pred(n5),a_select3(q,sk0_25,X0))=n1|~spl0_77)),
% 4.01/0.91 inference(component_clause,[status(thm)],[f1471])).
% 4.01/0.91 fof(f1474,plain,(
% 4.01/0.91 ![X0]: (~leq(n0,sk0_25)|sum(n0,pred(n5),a_select3(q,sk0_25,X0))=n1|~spl0_4)),
% 4.01/0.91 inference(resolution,[status(thm)],[f379,f549])).
% 4.01/0.91 fof(f1475,plain,(
% 4.01/0.91 ~spl0_3|spl0_77|~spl0_4),
% 4.01/0.91 inference(split_clause,[status(thm)],[f1474,f347,f1471,f351])).
% 4.01/0.91 fof(f1505,plain,(
% 4.01/0.91 ~n1=n1|~spl0_77|spl0_5),
% 4.01/0.91 inference(backward_demodulation,[status(thm)],[f1472,f392])).
% 4.01/0.91 fof(f1506,plain,(
% 4.01/0.91 $false|~spl0_77|spl0_5),
% 4.01/0.91 inference(trivial_equality_resolution,[status(esa)],[f1505])).
% 4.01/0.91 fof(f1507,plain,(
% 4.01/0.91 ~spl0_77|spl0_5),
% 4.01/0.91 inference(contradiction_clause,[status(thm)],[f1506])).
% 4.01/0.91 fof(f1508,plain,(
% 4.01/0.91 $false),
% 4.01/0.91 inference(sat_refutation,[status(thm)],[f350,f354,f358,f395,f397,f520,f745,f909,f1098,f1201,f1391,f1475,f1507])).
% 4.01/0.91 % SZS output end CNFRefutation for theBenchmark.p
% 4.01/0.93 % Elapsed time: 0.555360 seconds
% 4.01/0.93 % CPU time: 4.191740 seconds
% 4.01/0.93 % Total memory used: 84.706 MB
% 4.01/0.93 % Net memory used: 82.973 MB
%------------------------------------------------------------------------------