TSTP Solution File: GEO222+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO222+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:08:24 EDT 2023
% Result : Theorem 0.11s 0.48s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO222+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n004.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 11:53:37 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 0.11/0.48 % Refutation found
% 0.11/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.48 fof(f3,axiom,(
% 0.11/0.48 (! [X] : ~ convergent_lines(X,X) )),
% 0.11/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.48 fof(f6,axiom,(
% 0.11/0.48 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.11/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.48 fof(f9,axiom,(
% 0.11/0.48 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),X) ) )),
% 0.11/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.48 fof(f10,axiom,(
% 0.11/0.48 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),Y) ) )),
% 0.11/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.48 fof(f14,axiom,(
% 0.11/0.48 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( distinct_lines(Y,Z)| convergent_lines(X,Z) ) ) )),
% 0.11/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.48 fof(f18,axiom,(
% 0.11/0.48 (! [L,M] :( convergent_lines(L,M)| unorthogonal_lines(L,M) ) )),
% 0.11/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.48 fof(f19,axiom,(
% 0.11/0.48 (! [L,M,N] :( ( convergent_lines(L,M)& unorthogonal_lines(L,M) )=> ( ( convergent_lines(L,N)& unorthogonal_lines(L,N) )| ( convergent_lines(M,N)& unorthogonal_lines(M,N) ) ) ) )),
% 0.11/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.48 fof(f20,axiom,(
% 0.11/0.48 (! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L) )),
% 0.11/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.48 fof(f22,axiom,(
% 0.11/0.48 (! [A,L,M,N] :( distinct_lines(L,M)=> ( apart_point_and_line(A,L)| apart_point_and_line(A,M)| unorthogonal_lines(L,N)| unorthogonal_lines(M,N) ) ) )),
% 0.11/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.48 fof(f23,conjecture,(
% 0.11/0.48 (! [A,L] : ~ convergent_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)) )),
% 0.11/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.48 fof(f24,negated_conjecture,(
% 0.11/0.48 ~((! [A,L] : ~ convergent_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)) ))),
% 0.11/0.48 inference(negated_conjecture,[status(cth)],[f23])).
% 0.11/0.48 fof(f27,plain,(
% 0.11/0.48 ![X0]: (~convergent_lines(X0,X0))),
% 0.11/0.48 inference(cnf_transformation,[status(esa)],[f3])).
% 0.11/0.48 fof(f34,plain,(
% 0.11/0.48 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.11/0.48 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.11/0.48 fof(f35,plain,(
% 0.11/0.48 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.11/0.48 inference(miniscoping,[status(esa)],[f34])).
% 0.11/0.48 fof(f36,plain,(
% 0.11/0.48 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.11/0.48 inference(cnf_transformation,[status(esa)],[f35])).
% 0.11/0.48 fof(f41,plain,(
% 0.11/0.48 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X))),
% 0.11/0.48 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.11/0.48 fof(f42,plain,(
% 0.11/0.48 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.11/0.48 inference(cnf_transformation,[status(esa)],[f41])).
% 0.11/0.48 fof(f43,plain,(
% 0.11/0.48 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y))),
% 0.11/0.48 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.11/0.48 fof(f44,plain,(
% 0.11/0.48 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 0.11/0.48 inference(cnf_transformation,[status(esa)],[f43])).
% 0.11/0.48 fof(f53,plain,(
% 0.11/0.48 ![X,Y,Z]: (~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))),
% 0.11/0.48 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.11/0.48 fof(f54,plain,(
% 0.11/0.48 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (distinct_lines(Y,Z)|convergent_lines(X,Z))))),
% 0.11/0.48 inference(miniscoping,[status(esa)],[f53])).
% 0.11/0.48 fof(f55,plain,(
% 0.11/0.48 ![X0,X1,X2]: (~convergent_lines(X0,X1)|distinct_lines(X1,X2)|convergent_lines(X0,X2))),
% 0.11/0.48 inference(cnf_transformation,[status(esa)],[f54])).
% 0.11/0.48 fof(f61,plain,(
% 0.11/0.48 ![X0,X1]: (convergent_lines(X0,X1)|unorthogonal_lines(X0,X1))),
% 0.11/0.48 inference(cnf_transformation,[status(esa)],[f18])).
% 0.11/0.48 fof(f62,plain,(
% 0.11/0.48 ![L,M,N]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|((convergent_lines(L,N)&unorthogonal_lines(L,N))|(convergent_lines(M,N)&unorthogonal_lines(M,N))))),
% 0.11/0.49 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.11/0.49 fof(f63,plain,(
% 0.11/0.49 ![L,N]: (pd0_0(N,L)=>(convergent_lines(L,N)&unorthogonal_lines(L,N)))),
% 0.11/0.49 introduced(predicate_definition,[f62])).
% 0.11/0.49 fof(f64,plain,(
% 0.11/0.49 ![L,M,N]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(pd0_0(N,L)|(convergent_lines(M,N)&unorthogonal_lines(M,N))))),
% 0.11/0.49 inference(formula_renaming,[status(thm)],[f62,f63])).
% 0.11/0.49 fof(f65,plain,(
% 0.11/0.49 ![L,M]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(![N]: (pd0_0(N,L)|(convergent_lines(M,N)&unorthogonal_lines(M,N)))))),
% 0.11/0.49 inference(miniscoping,[status(esa)],[f64])).
% 0.11/0.49 fof(f67,plain,(
% 0.11/0.49 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~unorthogonal_lines(X0,X1)|pd0_0(X2,X0)|unorthogonal_lines(X1,X2))),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f65])).
% 0.11/0.49 fof(f68,plain,(
% 0.11/0.49 ![X0,X1]: (~unorthogonal_lines(orthogonal_through_point(X0,X1),X0))),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f20])).
% 0.11/0.49 fof(f70,plain,(
% 0.11/0.49 ![A,L,M,N]: (~distinct_lines(L,M)|(((apart_point_and_line(A,L)|apart_point_and_line(A,M))|unorthogonal_lines(L,N))|unorthogonal_lines(M,N)))),
% 0.11/0.49 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.11/0.49 fof(f71,plain,(
% 0.11/0.49 ![L,M]: (~distinct_lines(L,M)|(![N]: (((![A]: (apart_point_and_line(A,L)|apart_point_and_line(A,M)))|unorthogonal_lines(L,N))|unorthogonal_lines(M,N))))),
% 0.11/0.49 inference(miniscoping,[status(esa)],[f70])).
% 0.11/0.49 fof(f72,plain,(
% 0.11/0.49 ![X0,X1,X2,X3]: (~distinct_lines(X0,X1)|apart_point_and_line(X2,X0)|apart_point_and_line(X2,X1)|unorthogonal_lines(X0,X3)|unorthogonal_lines(X1,X3))),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f71])).
% 0.11/0.49 fof(f73,plain,(
% 0.11/0.49 (?[A,L]: convergent_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)))),
% 0.11/0.49 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.11/0.49 fof(f74,plain,(
% 0.11/0.49 convergent_lines(sk0_1,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))),
% 0.11/0.49 inference(skolemization,[status(esa)],[f73])).
% 0.11/0.49 fof(f75,plain,(
% 0.11/0.49 convergent_lines(sk0_1,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f74])).
% 0.11/0.49 fof(f76,plain,(
% 0.11/0.49 ![L,N]: (~pd0_0(N,L)|(convergent_lines(L,N)&unorthogonal_lines(L,N)))),
% 0.11/0.49 inference(pre_NNF_transformation,[status(esa)],[f63])).
% 0.11/0.49 fof(f77,plain,(
% 0.11/0.49 ![X0,X1]: (~pd0_0(X0,X1)|convergent_lines(X1,X0))),
% 0.11/0.49 inference(cnf_transformation,[status(esa)],[f76])).
% 0.11/0.49 fof(f79,plain,(
% 0.11/0.49 ![X0]: (convergent_lines(sk0_1,X0)|convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X0))),
% 0.11/0.49 inference(resolution,[status(thm)],[f36,f75])).
% 0.11/0.49 fof(f80,plain,(
% 0.11/0.49 ![X0,X1]: (convergent_lines(sk0_1,X0)|convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X1)|convergent_lines(X0,X1))),
% 0.11/0.49 inference(resolution,[status(thm)],[f79,f36])).
% 0.11/0.49 fof(f90,plain,(
% 0.11/0.49 ![X0,X1,X2]: (convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X0)|convergent_lines(X1,X0)|convergent_lines(sk0_1,X2)|convergent_lines(X1,X2))),
% 0.11/0.49 inference(resolution,[status(thm)],[f80,f36])).
% 0.11/0.49 fof(f91,plain,(
% 0.11/0.49 convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),sk0_1)),
% 0.11/0.49 inference(resolution,[status(thm)],[f80,f27])).
% 0.11/0.49 fof(f93,plain,(
% 0.11/0.49 spl0_2 <=> convergent_lines(sk0_1,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f106,plain,(
% 0.11/0.49 spl0_4 <=> convergent_lines(sk0_1,sk0_1)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f107,plain,(
% 0.11/0.49 convergent_lines(sk0_1,sk0_1)|~spl0_4),
% 0.11/0.49 inference(component_clause,[status(thm)],[f106])).
% 0.11/0.49 fof(f117,plain,(
% 0.11/0.49 ![X0,X1]: (convergent_lines(X0,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|convergent_lines(sk0_1,X1)|convergent_lines(X0,X1))),
% 0.11/0.49 inference(resolution,[status(thm)],[f90,f27])).
% 0.11/0.49 fof(f125,plain,(
% 0.11/0.49 spl0_6 <=> convergent_lines(sk0_1,X1)|convergent_lines(X2,X1)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f126,plain,(
% 0.11/0.49 ![X0,X1]: (convergent_lines(sk0_1,X0)|convergent_lines(X1,X0)|~spl0_6)),
% 0.11/0.49 inference(component_clause,[status(thm)],[f125])).
% 0.11/0.49 fof(f140,plain,(
% 0.11/0.49 ![X0,X1]: (convergent_lines(sk0_1,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|convergent_lines(sk0_1,X0)|convergent_lines(X1,X0))),
% 0.11/0.49 inference(resolution,[status(thm)],[f117,f36])).
% 0.11/0.49 fof(f141,plain,(
% 0.11/0.49 spl0_2|spl0_6),
% 0.11/0.49 inference(split_clause,[status(thm)],[f140,f93,f125])).
% 0.11/0.49 fof(f246,plain,(
% 0.11/0.49 ![X0,X1]: (convergent_lines(orthogonal_through_point(X0,X1),X0))),
% 0.11/0.49 inference(resolution,[status(thm)],[f61,f68])).
% 0.11/0.49 fof(f247,plain,(
% 0.11/0.49 ![X0,X1,X2]: (convergent_lines(orthogonal_through_point(X0,X1),X2)|convergent_lines(X0,X2))),
% 0.11/0.49 inference(resolution,[status(thm)],[f246,f36])).
% 0.11/0.49 fof(f249,plain,(
% 0.11/0.49 ![X0,X1]: (convergent_lines(X0,orthogonal_through_point(X0,X1)))),
% 0.11/0.49 inference(resolution,[status(thm)],[f247,f27])).
% 0.11/0.49 fof(f253,plain,(
% 0.11/0.49 $false|~spl0_6),
% 0.11/0.49 inference(resolution,[status(thm)],[f126,f27])).
% 0.11/0.49 fof(f254,plain,(
% 0.11/0.49 ~spl0_6),
% 0.11/0.49 inference(contradiction_clause,[status(thm)],[f253])).
% 0.11/0.49 fof(f384,plain,(
% 0.11/0.49 $false|~spl0_4),
% 0.11/0.49 inference(forward_subsumption_resolution,[status(thm)],[f107,f27])).
% 0.11/0.49 fof(f385,plain,(
% 0.11/0.49 ~spl0_4),
% 0.11/0.49 inference(contradiction_clause,[status(thm)],[f384])).
% 0.11/0.49 fof(f618,plain,(
% 0.11/0.49 ![X0]: (distinct_lines(sk0_1,X0)|convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X0))),
% 0.11/0.49 inference(resolution,[status(thm)],[f55,f91])).
% 0.11/0.49 fof(f864,plain,(
% 0.11/0.49 distinct_lines(sk0_1,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))),
% 0.11/0.49 inference(resolution,[status(thm)],[f618,f27])).
% 0.11/0.49 fof(f865,plain,(
% 0.11/0.49 spl0_21 <=> apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f866,plain,(
% 0.11/0.49 ![X0]: (apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|~spl0_21)),
% 0.11/0.49 inference(component_clause,[status(thm)],[f865])).
% 0.11/0.49 fof(f1278,plain,(
% 0.11/0.49 spl0_34 <=> unorthogonal_lines(sk0_1,X1)|unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X1)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f1279,plain,(
% 0.11/0.49 ![X0]: (unorthogonal_lines(sk0_1,X0)|unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X0)|~spl0_34)),
% 0.11/0.49 inference(component_clause,[status(thm)],[f1278])).
% 0.11/0.49 fof(f1281,plain,(
% 0.11/0.49 ![X0,X1]: (apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|unorthogonal_lines(sk0_1,X1)|unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X1))),
% 0.11/0.49 inference(resolution,[status(thm)],[f72,f864])).
% 0.11/0.49 fof(f1282,plain,(
% 0.11/0.49 spl0_21|spl0_34),
% 0.11/0.49 inference(split_clause,[status(thm)],[f1281,f865,f1278])).
% 0.11/0.49 fof(f1381,plain,(
% 0.11/0.49 ![X0]: (apart_point_and_line(intersection_point(X0,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0)),sk0_1)|~convergent_lines(X0,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|~spl0_21)),
% 0.11/0.49 inference(resolution,[status(thm)],[f866,f44])).
% 0.11/0.49 fof(f1402,plain,(
% 0.11/0.49 ~convergent_lines(sk0_1,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|~convergent_lines(sk0_1,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|~spl0_21),
% 0.11/0.49 inference(resolution,[status(thm)],[f1381,f42])).
% 0.11/0.49 fof(f1403,plain,(
% 0.11/0.49 ~spl0_2|~spl0_21),
% 0.11/0.49 inference(split_clause,[status(thm)],[f1402,f93,f865])).
% 0.11/0.49 fof(f1406,plain,(
% 0.11/0.49 unorthogonal_lines(sk0_1,orthogonal_through_point(sk0_1,sk0_0))|~spl0_34),
% 0.11/0.49 inference(resolution,[status(thm)],[f1279,f68])).
% 0.11/0.49 fof(f1409,plain,(
% 0.11/0.49 spl0_36 <=> convergent_lines(sk0_1,orthogonal_through_point(sk0_1,sk0_0))),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f1411,plain,(
% 0.11/0.49 ~convergent_lines(sk0_1,orthogonal_through_point(sk0_1,sk0_0))|spl0_36),
% 0.11/0.49 inference(component_clause,[status(thm)],[f1409])).
% 0.11/0.49 fof(f1412,plain,(
% 0.11/0.49 spl0_37 <=> pd0_0(X0,sk0_1)|unorthogonal_lines(orthogonal_through_point(sk0_1,sk0_0),X0)),
% 0.11/0.49 introduced(split_symbol_definition)).
% 0.11/0.49 fof(f1413,plain,(
% 0.11/0.49 ![X0]: (pd0_0(X0,sk0_1)|unorthogonal_lines(orthogonal_through_point(sk0_1,sk0_0),X0)|~spl0_37)),
% 0.11/0.49 inference(component_clause,[status(thm)],[f1412])).
% 0.11/0.49 fof(f1415,plain,(
% 0.11/0.49 ![X0]: (~convergent_lines(sk0_1,orthogonal_through_point(sk0_1,sk0_0))|pd0_0(X0,sk0_1)|unorthogonal_lines(orthogonal_through_point(sk0_1,sk0_0),X0)|~spl0_34)),
% 0.11/0.49 inference(resolution,[status(thm)],[f1406,f67])).
% 0.11/0.49 fof(f1416,plain,(
% 0.11/0.49 ~spl0_36|spl0_37|~spl0_34),
% 0.11/0.49 inference(split_clause,[status(thm)],[f1415,f1409,f1412,f1278])).
% 0.11/0.49 fof(f1422,plain,(
% 0.11/0.49 $false|spl0_36),
% 0.11/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1411,f249])).
% 0.11/0.49 fof(f1423,plain,(
% 0.11/0.49 spl0_36),
% 0.11/0.49 inference(contradiction_clause,[status(thm)],[f1422])).
% 0.11/0.49 fof(f1424,plain,(
% 0.11/0.49 pd0_0(sk0_1,sk0_1)|~spl0_37),
% 0.11/0.49 inference(resolution,[status(thm)],[f1413,f68])).
% 0.11/0.49 fof(f1428,plain,(
% 0.11/0.49 convergent_lines(sk0_1,sk0_1)|~spl0_37),
% 0.11/0.49 inference(resolution,[status(thm)],[f1424,f77])).
% 0.11/0.49 fof(f1429,plain,(
% 0.11/0.49 spl0_4|~spl0_37),
% 0.11/0.49 inference(split_clause,[status(thm)],[f1428,f106,f1412])).
% 0.11/0.49 fof(f1430,plain,(
% 0.11/0.49 $false),
% 0.11/0.49 inference(sat_refutation,[status(thm)],[f141,f254,f385,f1282,f1403,f1416,f1423,f1429])).
% 0.11/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.50 % Elapsed time: 0.230391 seconds
% 0.11/0.50 % CPU time: 0.975863 seconds
% 0.11/0.50 % Memory used: 12.994 MB
%------------------------------------------------------------------------------