TSTP Solution File: GEO219+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO219+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : Tue Apr 30 20:17:36 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO219+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n024.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 01:34:22 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.6.0
% 0.15/0.38 % Refutation found
% 0.15/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.38 fof(f3,axiom,(
% 0.15/0.38 (! [X] : ~ convergent_lines(X,X) )),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f6,axiom,(
% 0.15/0.38 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f14,axiom,(
% 0.15/0.38 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( distinct_lines(Y,Z)| convergent_lines(X,Z) ) ) )),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f15,axiom,(
% 0.15/0.38 (! [X,Y] :( distinct_lines(X,Y)=> convergent_lines(X,Y) ) )),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f19,axiom,(
% 0.15/0.38 (! [L,M] :( convergent_lines(L,M)| unorthogonal_lines(L,M) ) )),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f20,axiom,(
% 0.15/0.38 (! [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) ) ) ) )),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f33,axiom,(
% 0.15/0.38 (! [X,Y] :( parallel_lines(X,Y)<=> ~ convergent_lines(X,Y) ) )),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f35,axiom,(
% 0.15/0.38 (! [X,Y] :( orthogonal_lines(X,Y)<=> ~ unorthogonal_lines(X,Y) ) )),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f36,conjecture,(
% 0.15/0.38 (! [L,M,N] :( ( orthogonal_lines(L,M)& parallel_lines(L,N) )=> orthogonal_lines(M,N) ) )),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f37,negated_conjecture,(
% 0.15/0.38 ~((! [L,M,N] :( ( orthogonal_lines(L,M)& parallel_lines(L,N) )=> orthogonal_lines(M,N) ) ))),
% 0.15/0.38 inference(negated_conjecture,[status(cth)],[f36])).
% 0.15/0.38 fof(f40,plain,(
% 0.15/0.38 ![X0]: (~convergent_lines(X0,X0))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.38 fof(f47,plain,(
% 0.15/0.38 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.15/0.38 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.15/0.38 fof(f48,plain,(
% 0.15/0.38 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.15/0.38 inference(miniscoping,[status(esa)],[f47])).
% 0.15/0.38 fof(f49,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f48])).
% 0.15/0.38 fof(f66,plain,(
% 0.15/0.38 ![X,Y,Z]: (~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))),
% 0.15/0.38 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.15/0.38 fof(f67,plain,(
% 0.15/0.38 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (distinct_lines(Y,Z)|convergent_lines(X,Z))))),
% 0.15/0.38 inference(miniscoping,[status(esa)],[f66])).
% 0.15/0.38 fof(f68,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~convergent_lines(X0,X1)|distinct_lines(X1,X2)|convergent_lines(X0,X2))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f67])).
% 0.15/0.38 fof(f69,plain,(
% 0.15/0.38 ![X,Y]: (~distinct_lines(X,Y)|convergent_lines(X,Y))),
% 0.15/0.38 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.15/0.38 fof(f70,plain,(
% 0.15/0.38 ![X0,X1]: (~distinct_lines(X0,X1)|convergent_lines(X0,X1))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f69])).
% 0.15/0.38 fof(f76,plain,(
% 0.15/0.38 ![X0,X1]: (convergent_lines(X0,X1)|unorthogonal_lines(X0,X1))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.38 fof(f77,plain,(
% 0.15/0.38 ![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))))),
% 0.15/0.38 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.15/0.38 fof(f78,plain,(
% 0.15/0.38 ![L,N]: (pd0_0(N,L)=>(convergent_lines(L,N)&unorthogonal_lines(L,N)))),
% 0.15/0.38 introduced(predicate_definition,[f77])).
% 0.15/0.38 fof(f79,plain,(
% 0.15/0.38 ![L,M,N]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(pd0_0(N,L)|(convergent_lines(M,N)&unorthogonal_lines(M,N))))),
% 0.15/0.38 inference(formula_renaming,[status(thm)],[f77,f78])).
% 0.15/0.38 fof(f80,plain,(
% 0.15/0.38 ![L,M]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(![N]: (pd0_0(N,L)|(convergent_lines(M,N)&unorthogonal_lines(M,N)))))),
% 0.15/0.38 inference(miniscoping,[status(esa)],[f79])).
% 0.15/0.38 fof(f81,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~unorthogonal_lines(X0,X1)|pd0_0(X2,X0)|convergent_lines(X1,X2))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f80])).
% 0.15/0.38 fof(f82,plain,(
% 0.15/0.38 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~unorthogonal_lines(X0,X1)|pd0_0(X2,X0)|unorthogonal_lines(X1,X2))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f80])).
% 0.15/0.38 fof(f115,plain,(
% 0.15/0.38 ![X,Y]: ((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(parallel_lines(X,Y)|convergent_lines(X,Y)))),
% 0.15/0.38 inference(NNF_transformation,[status(esa)],[f33])).
% 0.15/0.38 fof(f116,plain,(
% 0.15/0.38 (![X,Y]: (~parallel_lines(X,Y)|~convergent_lines(X,Y)))&(![X,Y]: (parallel_lines(X,Y)|convergent_lines(X,Y)))),
% 0.15/0.38 inference(miniscoping,[status(esa)],[f115])).
% 0.15/0.38 fof(f117,plain,(
% 0.15/0.38 ![X0,X1]: (~parallel_lines(X0,X1)|~convergent_lines(X0,X1))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f116])).
% 0.15/0.38 fof(f123,plain,(
% 0.15/0.38 ![X,Y]: ((~orthogonal_lines(X,Y)|~unorthogonal_lines(X,Y))&(orthogonal_lines(X,Y)|unorthogonal_lines(X,Y)))),
% 0.15/0.38 inference(NNF_transformation,[status(esa)],[f35])).
% 0.15/0.38 fof(f124,plain,(
% 0.15/0.38 (![X,Y]: (~orthogonal_lines(X,Y)|~unorthogonal_lines(X,Y)))&(![X,Y]: (orthogonal_lines(X,Y)|unorthogonal_lines(X,Y)))),
% 0.15/0.38 inference(miniscoping,[status(esa)],[f123])).
% 0.15/0.38 fof(f125,plain,(
% 0.15/0.38 ![X0,X1]: (~orthogonal_lines(X0,X1)|~unorthogonal_lines(X0,X1))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f124])).
% 0.15/0.38 fof(f126,plain,(
% 0.15/0.38 ![X0,X1]: (orthogonal_lines(X0,X1)|unorthogonal_lines(X0,X1))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f124])).
% 0.15/0.38 fof(f127,plain,(
% 0.15/0.38 (?[L,M,N]: ((orthogonal_lines(L,M)¶llel_lines(L,N))&~orthogonal_lines(M,N)))),
% 0.15/0.38 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.15/0.38 fof(f128,plain,(
% 0.15/0.38 ?[M,N]: ((?[L]: (orthogonal_lines(L,M)¶llel_lines(L,N)))&~orthogonal_lines(M,N))),
% 0.15/0.38 inference(miniscoping,[status(esa)],[f127])).
% 0.15/0.38 fof(f129,plain,(
% 0.15/0.38 ((orthogonal_lines(sk0_2,sk0_0)¶llel_lines(sk0_2,sk0_1))&~orthogonal_lines(sk0_0,sk0_1))),
% 0.15/0.38 inference(skolemization,[status(esa)],[f128])).
% 0.15/0.38 fof(f130,plain,(
% 0.15/0.38 orthogonal_lines(sk0_2,sk0_0)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f129])).
% 0.15/0.38 fof(f131,plain,(
% 0.15/0.38 parallel_lines(sk0_2,sk0_1)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f129])).
% 0.15/0.38 fof(f132,plain,(
% 0.15/0.38 ~orthogonal_lines(sk0_0,sk0_1)),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f129])).
% 0.15/0.38 fof(f133,plain,(
% 0.15/0.38 ![L,N]: (~pd0_0(N,L)|(convergent_lines(L,N)&unorthogonal_lines(L,N)))),
% 0.15/0.38 inference(pre_NNF_transformation,[status(esa)],[f78])).
% 0.15/0.38 fof(f134,plain,(
% 0.15/0.38 ![X0,X1]: (~pd0_0(X0,X1)|convergent_lines(X1,X0))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f133])).
% 0.15/0.38 fof(f135,plain,(
% 0.15/0.38 ![X0,X1]: (~pd0_0(X0,X1)|unorthogonal_lines(X1,X0))),
% 0.15/0.38 inference(cnf_transformation,[status(esa)],[f133])).
% 0.15/0.38 fof(f139,plain,(
% 0.15/0.38 ~convergent_lines(sk0_2,sk0_1)),
% 0.15/0.38 inference(resolution,[status(thm)],[f117,f131])).
% 0.15/0.38 fof(f140,plain,(
% 0.15/0.38 ~unorthogonal_lines(sk0_2,sk0_0)),
% 0.15/0.38 inference(resolution,[status(thm)],[f125,f130])).
% 0.15/0.38 fof(f141,plain,(
% 0.15/0.38 unorthogonal_lines(sk0_0,sk0_1)),
% 0.15/0.38 inference(resolution,[status(thm)],[f126,f132])).
% 0.15/0.38 fof(f142,plain,(
% 0.15/0.38 convergent_lines(sk0_2,sk0_0)),
% 0.15/0.38 inference(resolution,[status(thm)],[f76,f140])).
% 0.15/0.38 fof(f144,plain,(
% 0.15/0.38 ![X0]: (distinct_lines(sk0_0,X0)|convergent_lines(sk0_2,X0))),
% 0.15/0.38 inference(resolution,[status(thm)],[f142,f68])).
% 0.15/0.38 fof(f146,plain,(
% 0.15/0.38 distinct_lines(sk0_0,sk0_1)),
% 0.15/0.38 inference(resolution,[status(thm)],[f144,f139])).
% 0.15/0.38 fof(f148,plain,(
% 0.15/0.38 ![X0,X1]: (distinct_lines(sk0_0,X0)|distinct_lines(X0,X1)|convergent_lines(sk0_2,X1))),
% 0.15/0.38 inference(resolution,[status(thm)],[f144,f68])).
% 0.15/0.38 fof(f153,plain,(
% 0.15/0.38 convergent_lines(sk0_0,sk0_1)),
% 0.15/0.38 inference(resolution,[status(thm)],[f146,f70])).
% 0.15/0.38 fof(f171,plain,(
% 0.15/0.38 ![X0]: (convergent_lines(sk0_0,X0)|convergent_lines(sk0_1,X0))),
% 0.15/0.38 inference(resolution,[status(thm)],[f153,f49])).
% 0.15/0.38 fof(f211,plain,(
% 0.15/0.38 ![X0]: (distinct_lines(sk0_0,X0)|distinct_lines(X0,sk0_1))),
% 0.15/0.38 inference(resolution,[status(thm)],[f148,f139])).
% 0.15/0.38 fof(f218,plain,(
% 0.15/0.38 ![X0]: (distinct_lines(X0,sk0_1)|convergent_lines(sk0_0,X0))),
% 0.15/0.38 inference(resolution,[status(thm)],[f211,f70])).
% 0.15/0.38 fof(f226,plain,(
% 0.15/0.38 ![X0,X1]: (distinct_lines(X0,sk0_1)|convergent_lines(sk0_0,X1)|convergent_lines(X0,X1))),
% 0.15/0.38 inference(resolution,[status(thm)],[f218,f49])).
% 0.15/0.38 fof(f255,plain,(
% 0.15/0.38 spl0_6 <=> distinct_lines(sk0_2,sk0_1)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f256,plain,(
% 0.15/0.38 distinct_lines(sk0_2,sk0_1)|~spl0_6),
% 0.15/0.38 inference(component_clause,[status(thm)],[f255])).
% 0.15/0.38 fof(f258,plain,(
% 0.15/0.38 spl0_7 <=> convergent_lines(sk0_0,sk0_1)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f261,plain,(
% 0.15/0.38 distinct_lines(sk0_2,sk0_1)|convergent_lines(sk0_0,sk0_1)),
% 0.15/0.38 inference(resolution,[status(thm)],[f226,f139])).
% 0.15/0.38 fof(f262,plain,(
% 0.15/0.38 spl0_6|spl0_7),
% 0.15/0.38 inference(split_clause,[status(thm)],[f261,f255,f258])).
% 0.15/0.38 fof(f269,plain,(
% 0.15/0.38 convergent_lines(sk0_2,sk0_1)|~spl0_6),
% 0.15/0.38 inference(resolution,[status(thm)],[f256,f70])).
% 0.15/0.38 fof(f270,plain,(
% 0.15/0.38 $false|~spl0_6),
% 0.15/0.38 inference(forward_subsumption_resolution,[status(thm)],[f269,f139])).
% 0.15/0.38 fof(f271,plain,(
% 0.15/0.38 ~spl0_6),
% 0.15/0.38 inference(contradiction_clause,[status(thm)],[f270])).
% 0.15/0.38 fof(f478,plain,(
% 0.15/0.38 spl0_25 <=> pd0_0(X0,sk0_0)|convergent_lines(sk0_1,X0)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f479,plain,(
% 0.15/0.38 ![X0]: (pd0_0(X0,sk0_0)|convergent_lines(sk0_1,X0)|~spl0_25)),
% 0.15/0.38 inference(component_clause,[status(thm)],[f478])).
% 0.15/0.38 fof(f481,plain,(
% 0.15/0.38 ![X0]: (~convergent_lines(sk0_0,sk0_1)|pd0_0(X0,sk0_0)|convergent_lines(sk0_1,X0))),
% 0.15/0.38 inference(resolution,[status(thm)],[f81,f141])).
% 0.15/0.38 fof(f482,plain,(
% 0.15/0.38 ~spl0_7|spl0_25),
% 0.15/0.38 inference(split_clause,[status(thm)],[f481,f258,f478])).
% 0.15/0.38 fof(f696,plain,(
% 0.15/0.38 ![X0]: (convergent_lines(sk0_1,X0)|unorthogonal_lines(sk0_0,X0)|~spl0_25)),
% 0.15/0.38 inference(resolution,[status(thm)],[f479,f135])).
% 0.15/0.38 fof(f728,plain,(
% 0.15/0.38 ![X0,X1]: (convergent_lines(sk0_1,X0)|~convergent_lines(sk0_0,X0)|pd0_0(X1,sk0_0)|unorthogonal_lines(X0,X1)|~spl0_25)),
% 0.15/0.38 inference(resolution,[status(thm)],[f696,f82])).
% 0.15/0.38 fof(f729,plain,(
% 0.15/0.38 ![X0,X1]: (convergent_lines(sk0_1,X0)|pd0_0(X1,sk0_0)|unorthogonal_lines(X0,X1)|~spl0_25)),
% 0.15/0.38 inference(forward_subsumption_resolution,[status(thm)],[f728,f171])).
% 0.15/0.38 fof(f735,plain,(
% 0.15/0.38 spl0_49 <=> convergent_lines(sk0_1,sk0_2)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f736,plain,(
% 0.15/0.38 convergent_lines(sk0_1,sk0_2)|~spl0_49),
% 0.15/0.38 inference(component_clause,[status(thm)],[f735])).
% 0.15/0.38 fof(f738,plain,(
% 0.15/0.38 spl0_50 <=> pd0_0(sk0_0,sk0_0)),
% 0.15/0.38 introduced(split_symbol_definition)).
% 0.15/0.38 fof(f739,plain,(
% 0.15/0.38 pd0_0(sk0_0,sk0_0)|~spl0_50),
% 0.15/0.38 inference(component_clause,[status(thm)],[f738])).
% 0.15/0.38 fof(f741,plain,(
% 0.15/0.38 convergent_lines(sk0_1,sk0_2)|pd0_0(sk0_0,sk0_0)|~spl0_25),
% 0.15/0.38 inference(resolution,[status(thm)],[f729,f140])).
% 0.15/0.38 fof(f742,plain,(
% 0.15/0.38 spl0_49|spl0_50|~spl0_25),
% 0.15/0.38 inference(split_clause,[status(thm)],[f741,f735,f738,f478])).
% 0.15/0.38 fof(f750,plain,(
% 0.15/0.38 ![X0]: (distinct_lines(sk0_2,X0)|convergent_lines(sk0_1,X0)|~spl0_49)),
% 0.15/0.38 inference(resolution,[status(thm)],[f736,f68])).
% 0.15/0.38 fof(f755,plain,(
% 0.15/0.38 distinct_lines(sk0_2,sk0_1)|~spl0_49),
% 0.15/0.38 inference(resolution,[status(thm)],[f750,f40])).
% 0.15/0.38 fof(f756,plain,(
% 0.15/0.38 spl0_6|~spl0_49),
% 0.15/0.38 inference(split_clause,[status(thm)],[f755,f255,f735])).
% 0.15/0.38 fof(f758,plain,(
% 0.15/0.38 convergent_lines(sk0_0,sk0_0)|~spl0_50),
% 0.15/0.38 inference(resolution,[status(thm)],[f739,f134])).
% 0.15/0.38 fof(f759,plain,(
% 0.15/0.38 $false|~spl0_50),
% 0.15/0.38 inference(forward_subsumption_resolution,[status(thm)],[f758,f40])).
% 0.15/0.38 fof(f760,plain,(
% 0.15/0.38 ~spl0_50),
% 0.15/0.38 inference(contradiction_clause,[status(thm)],[f759])).
% 0.15/0.38 fof(f761,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(sat_refutation,[status(thm)],[f262,f271,f482,f742,f756,f760])).
% 0.15/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.40 % Elapsed time: 0.080761 seconds
% 0.15/0.40 % CPU time: 0.565634 seconds
% 0.15/0.40 % Total memory used: 17.284 MB
% 0.15/0.40 % Net memory used: 16.573 MB
%------------------------------------------------------------------------------