TSTP Solution File: GEO213+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO213+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 12:08:20 EDT 2023
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO213+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 12:04:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (! [X] : ~ convergent_lines(X,X) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,axiom,(
% 0.13/0.39 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,axiom,(
% 0.13/0.39 (! [X,Y] :( convergent_lines(X,Y)=> distinct_lines(X,Y) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f16,axiom,(
% 0.13/0.39 (! [L,M] :( convergent_lines(L,M)| unorthogonal_lines(L,M) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f17,axiom,(
% 0.13/0.39 (! [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) ) ) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f21,conjecture,(
% 0.13/0.39 (! [L,M,N] :( unorthogonal_lines(L,M)=> ( distinct_lines(L,N)| unorthogonal_lines(M,N) ) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f22,negated_conjecture,(
% 0.13/0.39 ~((! [L,M,N] :( unorthogonal_lines(L,M)=> ( distinct_lines(L,N)| unorthogonal_lines(M,N) ) ) ))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f21])).
% 0.13/0.39 fof(f25,plain,(
% 0.13/0.39 ![X0]: (~convergent_lines(X0,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.39 fof(f32,plain,(
% 0.13/0.39 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.13/0.39 fof(f33,plain,(
% 0.13/0.39 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f32])).
% 0.13/0.39 fof(f34,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f33])).
% 0.13/0.39 fof(f51,plain,(
% 0.13/0.39 ![X,Y]: (~convergent_lines(X,Y)|distinct_lines(X,Y))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.13/0.39 fof(f52,plain,(
% 0.13/0.39 ![X0,X1]: (~convergent_lines(X0,X1)|distinct_lines(X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.39 fof(f58,plain,(
% 0.13/0.39 ![X0,X1]: (convergent_lines(X0,X1)|unorthogonal_lines(X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.39 fof(f59,plain,(
% 0.13/0.39 ![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))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 ![L,N]: (pd0_0(N,L)=>(convergent_lines(L,N)&unorthogonal_lines(L,N)))),
% 0.13/0.39 introduced(predicate_definition,[f59])).
% 0.13/0.39 fof(f61,plain,(
% 0.13/0.39 ![L,M,N]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(pd0_0(N,L)|(convergent_lines(M,N)&unorthogonal_lines(M,N))))),
% 0.13/0.39 inference(formula_renaming,[status(thm)],[f59,f60])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 ![L,M]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(![N]: (pd0_0(N,L)|(convergent_lines(M,N)&unorthogonal_lines(M,N)))))),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f61])).
% 0.13/0.39 fof(f64,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~unorthogonal_lines(X0,X1)|pd0_0(X2,X0)|unorthogonal_lines(X1,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f62])).
% 0.13/0.39 fof(f70,plain,(
% 0.13/0.39 (?[L,M,N]: (unorthogonal_lines(L,M)&(~distinct_lines(L,N)&~unorthogonal_lines(M,N))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 ?[L,M]: (unorthogonal_lines(L,M)&(?[N]: (~distinct_lines(L,N)&~unorthogonal_lines(M,N))))),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f70])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 (unorthogonal_lines(sk0_0,sk0_1)&(~distinct_lines(sk0_0,sk0_2)&~unorthogonal_lines(sk0_1,sk0_2)))),
% 0.13/0.39 inference(skolemization,[status(esa)],[f71])).
% 0.13/0.39 fof(f73,plain,(
% 0.13/0.39 unorthogonal_lines(sk0_0,sk0_1)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f72])).
% 0.13/0.39 fof(f74,plain,(
% 0.13/0.39 ~distinct_lines(sk0_0,sk0_2)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f72])).
% 0.13/0.39 fof(f75,plain,(
% 0.13/0.39 ~unorthogonal_lines(sk0_1,sk0_2)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f72])).
% 0.13/0.39 fof(f76,plain,(
% 0.13/0.39 ![L,N]: (~pd0_0(N,L)|(convergent_lines(L,N)&unorthogonal_lines(L,N)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(esa)],[f60])).
% 0.13/0.39 fof(f77,plain,(
% 0.13/0.39 ![X0,X1]: (~pd0_0(X0,X1)|convergent_lines(X1,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f76])).
% 0.13/0.39 fof(f79,plain,(
% 0.13/0.39 convergent_lines(sk0_1,sk0_2)),
% 0.13/0.39 inference(resolution,[status(thm)],[f58,f75])).
% 0.13/0.39 fof(f148,plain,(
% 0.13/0.39 spl0_11 <=> convergent_lines(sk0_1,sk0_0)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f149,plain,(
% 0.13/0.39 convergent_lines(sk0_1,sk0_0)|~spl0_11),
% 0.13/0.39 inference(component_clause,[status(thm)],[f148])).
% 0.13/0.39 fof(f150,plain,(
% 0.13/0.39 ~convergent_lines(sk0_1,sk0_0)|spl0_11),
% 0.13/0.39 inference(component_clause,[status(thm)],[f148])).
% 0.13/0.39 fof(f173,plain,(
% 0.13/0.39 spl0_15 <=> convergent_lines(sk0_0,sk0_1)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f189,plain,(
% 0.13/0.39 ![X0]: (convergent_lines(sk0_1,X0)|convergent_lines(sk0_2,X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f34,f79])).
% 0.13/0.39 fof(f368,plain,(
% 0.13/0.39 ![X0,X1]: (convergent_lines(sk0_1,X0)|convergent_lines(sk0_2,X1)|convergent_lines(X0,X1))),
% 0.13/0.39 inference(resolution,[status(thm)],[f189,f34])).
% 0.13/0.39 fof(f476,plain,(
% 0.13/0.39 ![X0]: (convergent_lines(sk0_1,X0)|convergent_lines(X0,sk0_2))),
% 0.13/0.39 inference(resolution,[status(thm)],[f368,f25])).
% 0.13/0.39 fof(f511,plain,(
% 0.13/0.39 ![X0]: (convergent_lines(sk0_1,X0)|distinct_lines(X0,sk0_2))),
% 0.13/0.39 inference(resolution,[status(thm)],[f476,f52])).
% 0.13/0.39 fof(f691,plain,(
% 0.13/0.39 spl0_48 <=> pd0_0(X0,sk0_0)|unorthogonal_lines(sk0_1,X0)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f692,plain,(
% 0.13/0.39 ![X0]: (pd0_0(X0,sk0_0)|unorthogonal_lines(sk0_1,X0)|~spl0_48)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f691])).
% 0.13/0.39 fof(f694,plain,(
% 0.13/0.39 ![X0]: (~convergent_lines(sk0_0,sk0_1)|pd0_0(X0,sk0_0)|unorthogonal_lines(sk0_1,X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f64,f73])).
% 0.13/0.39 fof(f695,plain,(
% 0.13/0.39 ~spl0_15|spl0_48),
% 0.13/0.39 inference(split_clause,[status(thm)],[f694,f173,f691])).
% 0.13/0.39 fof(f696,plain,(
% 0.13/0.39 ![X0]: (convergent_lines(sk0_1,X0)|convergent_lines(sk0_0,X0)|~spl0_11)),
% 0.13/0.39 inference(resolution,[status(thm)],[f149,f34])).
% 0.13/0.39 fof(f733,plain,(
% 0.13/0.39 ![X0]: (unorthogonal_lines(sk0_1,X0)|convergent_lines(sk0_0,X0)|~spl0_48)),
% 0.13/0.39 inference(resolution,[status(thm)],[f692,f77])).
% 0.13/0.39 fof(f744,plain,(
% 0.13/0.39 convergent_lines(sk0_0,sk0_2)|~spl0_48),
% 0.13/0.39 inference(resolution,[status(thm)],[f733,f75])).
% 0.13/0.39 fof(f779,plain,(
% 0.13/0.39 distinct_lines(sk0_0,sk0_2)|~spl0_48),
% 0.13/0.39 inference(resolution,[status(thm)],[f744,f52])).
% 0.13/0.39 fof(f780,plain,(
% 0.13/0.39 $false|~spl0_48),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f779,f74])).
% 0.13/0.39 fof(f781,plain,(
% 0.13/0.39 ~spl0_48),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f780])).
% 0.13/0.39 fof(f791,plain,(
% 0.13/0.39 convergent_lines(sk0_0,sk0_1)|~spl0_11),
% 0.13/0.39 inference(resolution,[status(thm)],[f696,f25])).
% 0.13/0.39 fof(f792,plain,(
% 0.13/0.39 spl0_15|~spl0_11),
% 0.13/0.39 inference(split_clause,[status(thm)],[f791,f173,f148])).
% 0.13/0.39 fof(f802,plain,(
% 0.13/0.39 distinct_lines(sk0_0,sk0_2)|spl0_11),
% 0.13/0.39 inference(resolution,[status(thm)],[f150,f511])).
% 0.13/0.39 fof(f803,plain,(
% 0.13/0.39 $false|spl0_11),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f802,f74])).
% 0.13/0.39 fof(f804,plain,(
% 0.13/0.39 spl0_11),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f803])).
% 0.13/0.39 fof(f805,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f695,f781,f792,f804])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.52/0.61 % Elapsed time: 0.050185 seconds
% 0.52/0.61 % CPU time: 0.280557 seconds
% 0.52/0.61 % Memory used: 4.968 MB
%------------------------------------------------------------------------------