%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO217+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:26:08 PM UTC 2026
% Result : Theorem 0.12s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO217+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n026.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 13:43:44 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.12/5.40 % Refutation found
% 0.12/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/5.40 fof(f3,axiom,(
% 0.12/5.40 (! [X] : ~ convergent_lines(X,X) )),
% 0.12/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f6,axiom,(
% 0.12/5.40 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.12/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f18,conjecture,(
% 0.12/5.40 (! [L,M,N] :( ( ~ convergent_lines(L,M)& ~ convergent_lines(L,N) )=> ~ convergent_lines(M,N) ) )),
% 0.12/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/5.40 fof(f19,negated_conjecture,(
% 0.12/5.40 ~((! [L,M,N] :( ( ~ convergent_lines(L,M)& ~ convergent_lines(L,N) )=> ~ convergent_lines(M,N) ) ))),
% 0.12/5.40 inference(negated_conjecture,[status(cth)],[f18])).
% 0.12/5.40 fof(f22,plain,(
% 0.12/5.40 ![X0]: (~convergent_lines(X0,X0))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/5.40 fof(f29,plain,(
% 0.12/5.40 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.12/5.40 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.12/5.40 fof(f30,plain,(
% 0.12/5.40 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f29])).
% 0.12/5.40 fof(f31,plain,(
% 0.12/5.40 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/5.40 fof(f62,plain,(
% 0.12/5.40 (?[L,M,N]: ((~convergent_lines(L,M)&~convergent_lines(L,N))&convergent_lines(M,N)))),
% 0.12/5.40 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.12/5.40 fof(f63,plain,(
% 0.12/5.40 ?[M,N]: ((?[L]: (~convergent_lines(L,M)&~convergent_lines(L,N)))&convergent_lines(M,N))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f62])).
% 0.12/5.40 fof(f64,plain,(
% 0.12/5.40 ((~convergent_lines(sK2_skl,sK0_skl)&~convergent_lines(sK2_skl,sK1_skl))&convergent_lines(sK0_skl,sK1_skl))),
% 0.12/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(M,sK0_skl),skolemize(N,sK1_skl),skolemize(L,sK2_skl)],[f63])).
% 0.12/5.40 fof(f65,plain,(
% 0.12/5.40 ~convergent_lines(sK2_skl,sK0_skl)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f64])).
% 0.12/5.40 fof(f66,plain,(
% 0.12/5.40 ~convergent_lines(sK2_skl,sK1_skl)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f64])).
% 0.12/5.40 fof(f67,plain,(
% 0.12/5.40 convergent_lines(sK0_skl,sK1_skl)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f64])).
% 0.12/5.40 fof(f73,plain,(
% 0.12/5.40 ![X0]: (convergent_lines(sK0_skl,X0)|convergent_lines(sK1_skl,X0))),
% 0.12/5.40 inference(resolution,[status(thm)],[f31,f67])).
% 0.12/5.40 fof(f74,plain,(
% 0.12/5.40 ![X0,X1]: (convergent_lines(sK0_skl,X0)|convergent_lines(sK1_skl,X1)|convergent_lines(X0,X1))),
% 0.12/5.40 inference(resolution,[status(thm)],[f73,f31])).
% 0.12/5.40 fof(f84,plain,(
% 0.12/5.40 convergent_lines(sK0_skl,sK2_skl)|convergent_lines(sK1_skl,sK1_skl)),
% 0.12/5.40 inference(resolution,[status(thm)],[f74,f66])).
% 0.12/5.40 fof(f102,definition,(
% 0.12/5.40 sQ4_spl <=> (convergent_lines(sK0_skl,sK2_skl))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f103,plain,(
% 0.12/5.40 convergent_lines(sK0_skl,sK2_skl)|~sQ4_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f102])).
% 0.12/5.40 fof(f105,definition,(
% 0.12/5.40 sQ5_spl <=> (convergent_lines(sK1_skl,sK1_skl))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f106,plain,(
% 0.12/5.40 convergent_lines(sK1_skl,sK1_skl)|~sQ5_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f105])).
% 0.12/5.40 fof(f108,plain,(
% 0.12/5.40 sQ4_spl|sQ5_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f84,f102,f105])).
% 0.12/5.40 fof(f111,plain,(
% 0.12/5.40 ![X0]: (convergent_lines(sK0_skl,X0)|convergent_lines(sK2_skl,X0)|~sQ4_spl)),
% 0.12/5.40 inference(resolution,[status(thm)],[f103,f31])).
% 0.12/5.40 fof(f118,plain,(
% 0.12/5.40 convergent_lines(sK0_skl,sK0_skl)|~sQ4_spl),
% 0.12/5.40 inference(resolution,[status(thm)],[f111,f65])).
% 0.12/5.40 fof(f121,plain,(
% 0.12/5.40 $false|~sQ4_spl),
% 0.12/5.40 inference(forward_subsumption_resolution,[status(thm)],[f118,f22])).
% 0.12/5.40 fof(f122,plain,(
% 0.12/5.40 ~sQ4_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f121])).
% 0.12/5.40 fof(f123,plain,(
% 0.12/5.40 $false|~sQ5_spl),
% 0.12/5.40 inference(forward_subsumption_resolution,[status(thm)],[f106,f22])).
% 0.12/5.40 fof(f124,plain,(
% 0.12/5.40 ~sQ5_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f123])).
% 0.12/5.40 fof(f125,plain,(
% 0.12/5.40 $false),
% 0.12/5.40 inference(sat_refutation,[status(thm)],[f108,f122,f124])).
% 0.12/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/5.42 % Elapsed time: 0.040296 seconds
% 0.12/5.42 % CPU time: 0.099739 seconds
% 0.12/5.42 % Total memory used: 15.143 MB
% 0.12/5.42 % Net memory used: 14.856 MB
%------------------------------------------------------------------------------