TSTP Solution File: GEO231+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 12:08:27 EDT 2023
% Result : Theorem 0.06s 0.27s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n024.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 12:00:03 EDT 2023
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.06/0.27 % Refutation found
% 0.06/0.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.27 % SZS output start CNFRefutation for theBenchmark
% 0.06/0.27 fof(f10,axiom,(
% 0.06/0.27 (! [L] : ~ unequally_directed_lines(L,L) )),
% 0.06/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27 fof(f11,axiom,(
% 0.06/0.27 (! [L,M,N] :( unequally_directed_lines(L,M)=> ( unequally_directed_lines(L,N)| unequally_directed_lines(M,N) ) ) )),
% 0.06/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27 fof(f14,axiom,(
% 0.06/0.27 (! [L,M] :( ( unequally_directed_lines(L,M)& unequally_directed_lines(L,reverse_line(M)) )=> ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) ) )),
% 0.06/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27 fof(f16,axiom,(
% 0.06/0.27 (! [L,M] :~ ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) )),
% 0.06/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27 fof(f26,axiom,(
% 0.06/0.27 (! [A,L] : ~ unequally_directed_lines(parallel_through_point(L,A),L) )),
% 0.06/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27 fof(f32,conjecture,(
% 0.06/0.27 (! [L,M,N] :( ( ~ unequally_directed_lines(L,reverse_line(M))& ~ unequally_directed_lines(L,N) )=> ~ unequally_directed_lines(M,reverse_line(N)) ) )),
% 0.06/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.27 fof(f33,negated_conjecture,(
% 0.06/0.27 ~((! [L,M,N] :( ( ~ unequally_directed_lines(L,reverse_line(M))& ~ unequally_directed_lines(L,N) )=> ~ unequally_directed_lines(M,reverse_line(N)) ) ))),
% 0.06/0.27 inference(negated_conjecture,[status(cth)],[f32])).
% 0.06/0.27 fof(f78,plain,(
% 0.06/0.27 ![X0]: (~unequally_directed_lines(X0,X0))),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f10])).
% 0.06/0.27 fof(f79,plain,(
% 0.06/0.27 ![L,M,N]: (~unequally_directed_lines(L,M)|(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))),
% 0.06/0.27 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.06/0.27 fof(f80,plain,(
% 0.06/0.27 ![L,M]: (~unequally_directed_lines(L,M)|(![N]: (unequally_directed_lines(L,N)|unequally_directed_lines(M,N))))),
% 0.06/0.27 inference(miniscoping,[status(esa)],[f79])).
% 0.06/0.27 fof(f81,plain,(
% 0.06/0.27 ![X0,X1,X2]: (~unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,X2)|unequally_directed_lines(X1,X2))),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f80])).
% 0.06/0.27 fof(f90,plain,(
% 0.06/0.27 ![L,M]: ((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M))))),
% 0.06/0.27 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.06/0.27 fof(f91,plain,(
% 0.06/0.27 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,X1)|left_convergent_lines(X0,reverse_line(X1)))),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f90])).
% 0.06/0.27 fof(f96,plain,(
% 0.06/0.27 ![L,M]: (~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M)))),
% 0.06/0.27 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.06/0.27 fof(f97,plain,(
% 0.06/0.27 (![L,M]: ~left_convergent_lines(L,M))&(![L,M]: ~left_convergent_lines(L,reverse_line(M)))),
% 0.06/0.27 inference(miniscoping,[status(esa)],[f96])).
% 0.06/0.27 fof(f98,plain,(
% 0.06/0.27 ![X0,X1]: (~left_convergent_lines(X0,X1))),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f97])).
% 0.06/0.27 fof(f117,plain,(
% 0.06/0.27 ![X0,X1]: (~unequally_directed_lines(parallel_through_point(X0,X1),X0))),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f26])).
% 0.06/0.27 fof(f130,plain,(
% 0.06/0.27 (?[L,M,N]: ((~unequally_directed_lines(L,reverse_line(M))&~unequally_directed_lines(L,N))&unequally_directed_lines(M,reverse_line(N))))),
% 0.06/0.27 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 0.06/0.27 fof(f131,plain,(
% 0.06/0.27 ?[M,N]: ((?[L]: (~unequally_directed_lines(L,reverse_line(M))&~unequally_directed_lines(L,N)))&unequally_directed_lines(M,reverse_line(N)))),
% 0.06/0.27 inference(miniscoping,[status(esa)],[f130])).
% 0.06/0.27 fof(f132,plain,(
% 0.06/0.27 ((~unequally_directed_lines(sk0_2,reverse_line(sk0_0))&~unequally_directed_lines(sk0_2,sk0_1))&unequally_directed_lines(sk0_0,reverse_line(sk0_1)))),
% 0.06/0.27 inference(skolemization,[status(esa)],[f131])).
% 0.06/0.27 fof(f133,plain,(
% 0.06/0.27 ~unequally_directed_lines(sk0_2,reverse_line(sk0_0))),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f132])).
% 0.06/0.27 fof(f134,plain,(
% 0.06/0.27 ~unequally_directed_lines(sk0_2,sk0_1)),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f132])).
% 0.06/0.27 fof(f135,plain,(
% 0.06/0.27 unequally_directed_lines(sk0_0,reverse_line(sk0_1))),
% 0.06/0.27 inference(cnf_transformation,[status(esa)],[f132])).
% 0.06/0.27 fof(f149,plain,(
% 0.06/0.27 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,reverse_line(X1)))),
% 0.06/0.27 inference(backward_subsumption_resolution,[status(thm)],[f91,f98])).
% 0.06/0.27 fof(f150,plain,(
% 0.06/0.27 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1)))),
% 0.06/0.27 inference(forward_subsumption_resolution,[status(thm)],[f149,f98])).
% 0.06/0.27 fof(f151,plain,(
% 0.06/0.27 ![X0]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(reverse_line(sk0_1),X0))),
% 0.06/0.27 inference(resolution,[status(thm)],[f81,f135])).
% 0.06/0.27 fof(f152,plain,(
% 0.06/0.27 ![X0,X1]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(reverse_line(sk0_1),X1)|unequally_directed_lines(X0,X1))),
% 0.06/0.27 inference(resolution,[status(thm)],[f151,f81])).
% 0.06/0.27 fof(f154,plain,(
% 0.06/0.27 ![X0,X1,X2]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(X0,X1)|unequally_directed_lines(reverse_line(sk0_1),X2)|unequally_directed_lines(X1,X2))),
% 0.06/0.27 inference(resolution,[status(thm)],[f152,f81])).
% 0.06/0.27 fof(f155,plain,(
% 0.06/0.27 ![X0]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(X0,reverse_line(sk0_1)))),
% 0.06/0.27 inference(resolution,[status(thm)],[f152,f78])).
% 0.06/0.27 fof(f159,plain,(
% 0.06/0.27 ![X0,X1]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(X0,X1)|unequally_directed_lines(X1,reverse_line(sk0_1)))),
% 0.06/0.27 inference(resolution,[status(thm)],[f154,f78])).
% 0.06/0.27 fof(f182,plain,(
% 0.06/0.27 ![X0]: (unequally_directed_lines(sk0_0,parallel_through_point(reverse_line(sk0_1),X0)))),
% 0.06/0.27 inference(resolution,[status(thm)],[f117,f155])).
% 0.06/0.27 fof(f191,plain,(
% 0.06/0.27 ~unequally_directed_lines(sk0_0,sk0_1)),
% 0.06/0.27 inference(resolution,[status(thm)],[f150,f135])).
% 0.06/0.27 fof(f195,plain,(
% 0.06/0.27 ![X0,X1]: (~unequally_directed_lines(X0,sk0_1)|unequally_directed_lines(sk0_0,X1)|unequally_directed_lines(X1,X0))),
% 0.06/0.27 inference(resolution,[status(thm)],[f150,f159])).
% 0.06/0.27 fof(f235,plain,(
% 0.06/0.27 spl0_8 <=> unequally_directed_lines(sk0_0,sk0_1)),
% 0.06/0.27 introduced(split_symbol_definition)).
% 0.06/0.27 fof(f236,plain,(
% 0.06/0.27 unequally_directed_lines(sk0_0,sk0_1)|~spl0_8),
% 0.06/0.27 inference(component_clause,[status(thm)],[f235])).
% 0.06/0.27 fof(f240,plain,(
% 0.06/0.27 ![X0,X1]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(parallel_through_point(reverse_line(sk0_1),X1),X0))),
% 0.06/0.27 inference(resolution,[status(thm)],[f182,f81])).
% 0.06/0.27 fof(f284,plain,(
% 0.06/0.27 ![X0,X1]: (unequally_directed_lines(sk0_0,reverse_line(X0))|~unequally_directed_lines(parallel_through_point(reverse_line(sk0_1),X1),X0))),
% 0.06/0.27 inference(resolution,[status(thm)],[f240,f150])).
% 0.06/0.27 fof(f287,plain,(
% 0.06/0.27 $false|~spl0_8),
% 0.06/0.27 inference(forward_subsumption_resolution,[status(thm)],[f236,f191])).
% 0.06/0.27 fof(f288,plain,(
% 0.06/0.27 ~spl0_8),
% 0.06/0.27 inference(contradiction_clause,[status(thm)],[f287])).
% 0.06/0.27 fof(f289,plain,(
% 0.06/0.27 ![X0]: (unequally_directed_lines(sk0_0,reverse_line(X0))|unequally_directed_lines(sk0_0,X0))),
% 0.06/0.27 inference(resolution,[status(thm)],[f284,f240])).
% 0.06/0.27 fof(f329,plain,(
% 0.06/0.27 ![X0,X1]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(sk0_0,X1)|unequally_directed_lines(reverse_line(X0),X1))),
% 0.06/0.27 inference(resolution,[status(thm)],[f289,f81])).
% 0.06/0.27 fof(f331,plain,(
% 0.06/0.27 spl0_17 <=> unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(sk0_0,X1)|unequally_directed_lines(X1,reverse_line(X0))),
% 0.06/0.27 introduced(split_symbol_definition)).
% 0.06/0.27 fof(f332,plain,(
% 0.06/0.27 ![X0,X1]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(sk0_0,X1)|unequally_directed_lines(X1,reverse_line(X0))|~spl0_17)),
% 0.06/0.27 inference(component_clause,[status(thm)],[f331])).
% 0.06/0.27 fof(f334,plain,(
% 0.06/0.27 ![X0,X1]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(sk0_0,sk0_1)|unequally_directed_lines(sk0_0,X1)|unequally_directed_lines(X1,reverse_line(X0)))),
% 0.06/0.27 inference(resolution,[status(thm)],[f329,f195])).
% 0.06/0.27 fof(f335,plain,(
% 0.06/0.27 spl0_17|spl0_8),
% 0.06/0.27 inference(split_clause,[status(thm)],[f334,f331,f235])).
% 0.06/0.27 fof(f345,plain,(
% 0.06/0.27 spl0_19 <=> unequally_directed_lines(sk0_0,sk0_0)),
% 0.06/0.27 introduced(split_symbol_definition)).
% 0.06/0.27 fof(f346,plain,(
% 0.06/0.27 unequally_directed_lines(sk0_0,sk0_0)|~spl0_19),
% 0.06/0.27 inference(component_clause,[status(thm)],[f345])).
% 0.09/0.49 fof(f356,plain,(
% 0.09/0.49 spl0_21 <=> unequally_directed_lines(sk0_0,sk0_2)),
% 0.09/0.49 introduced(split_symbol_definition)).
% 0.09/0.49 fof(f357,plain,(
% 0.09/0.49 unequally_directed_lines(sk0_0,sk0_2)|~spl0_21),
% 0.09/0.49 inference(component_clause,[status(thm)],[f356])).
% 0.09/0.49 fof(f359,plain,(
% 0.09/0.49 unequally_directed_lines(sk0_0,sk0_0)|unequally_directed_lines(sk0_0,sk0_2)|~spl0_17),
% 0.09/0.49 inference(resolution,[status(thm)],[f332,f133])).
% 0.09/0.49 fof(f360,plain,(
% 0.09/0.49 spl0_19|spl0_21|~spl0_17),
% 0.09/0.49 inference(split_clause,[status(thm)],[f359,f345,f356,f331])).
% 0.09/0.49 fof(f364,plain,(
% 0.09/0.49 $false|~spl0_19),
% 0.09/0.49 inference(forward_subsumption_resolution,[status(thm)],[f346,f78])).
% 0.09/0.49 fof(f365,plain,(
% 0.09/0.49 ~spl0_19),
% 0.09/0.49 inference(contradiction_clause,[status(thm)],[f364])).
% 0.09/0.49 fof(f368,plain,(
% 0.09/0.49 ![X0]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(sk0_2,X0)|~spl0_21)),
% 0.09/0.49 inference(resolution,[status(thm)],[f357,f81])).
% 0.09/0.49 fof(f370,plain,(
% 0.09/0.49 unequally_directed_lines(sk0_0,sk0_1)|~spl0_21),
% 0.09/0.49 inference(resolution,[status(thm)],[f368,f134])).
% 0.09/0.49 fof(f371,plain,(
% 0.09/0.49 spl0_8|~spl0_21),
% 0.09/0.49 inference(split_clause,[status(thm)],[f370,f235,f356])).
% 0.09/0.49 fof(f383,plain,(
% 0.09/0.49 $false),
% 0.09/0.49 inference(sat_refutation,[status(thm)],[f288,f335,f360,f365,f371])).
% 0.09/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.49 % Elapsed time: 0.021419 seconds
% 0.09/0.49 % CPU time: 0.098062 seconds
% 0.09/0.49 % Memory used: 3.135 MB
%------------------------------------------------------------------------------