%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO217+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO217+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n018.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 13:39:58 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f3,axiom,(
% 0.12/0.38 (! [X] : ~ convergent_lines(X,X) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f6,axiom,(
% 0.12/0.38 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f16,conjecture,(
% 0.12/0.38 (! [L,M,N] :( ( ~ convergent_lines(L,M)& ~ convergent_lines(L,N) )=> ~ convergent_lines(M,N) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f17,negated_conjecture,(
% 0.12/0.38 ~((! [L,M,N] :( ( ~ convergent_lines(L,M)& ~ convergent_lines(L,N) )=> ~ convergent_lines(M,N) ) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f16])).
% 0.12/0.38 fof(f20,plain,(
% 0.12/0.38 ![X0]: (~convergent_lines(X0,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.38 fof(f27,plain,(
% 0.12/0.38 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.12/0.38 fof(f28,plain,(
% 0.12/0.38 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f27])).
% 0.12/0.38 fof(f29,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.38 fof(f59,plain,(
% 0.12/0.38 (?[L,M,N]: ((~convergent_lines(L,M)&~convergent_lines(L,N))&convergent_lines(M,N)))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.12/0.38 fof(f60,plain,(
% 0.12/0.38 ?[M,N]: ((?[L]: (~convergent_lines(L,M)&~convergent_lines(L,N)))&convergent_lines(M,N))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f59])).
% 0.12/0.38 fof(f61,plain,(
% 0.12/0.38 ((~convergent_lines(sK2_skl,sK0_skl)&~convergent_lines(sK2_skl,sK1_skl))&convergent_lines(sK0_skl,sK1_skl))),
% 0.12/0.38 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)],[f60])).
% 0.12/0.38 fof(f62,plain,(
% 0.12/0.38 ~convergent_lines(sK2_skl,sK0_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f61])).
% 0.12/0.38 fof(f63,plain,(
% 0.12/0.38 ~convergent_lines(sK2_skl,sK1_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f61])).
% 0.12/0.38 fof(f64,plain,(
% 0.12/0.38 convergent_lines(sK0_skl,sK1_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f61])).
% 0.12/0.38 fof(f70,plain,(
% 0.12/0.38 ![X0]: (convergent_lines(sK0_skl,X0)|convergent_lines(sK1_skl,X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f29,f64])).
% 0.12/0.38 fof(f71,plain,(
% 0.12/0.38 ![X0,X1]: (convergent_lines(sK0_skl,X0)|convergent_lines(sK1_skl,X1)|convergent_lines(X0,X1))),
% 0.12/0.38 inference(resolution,[status(thm)],[f70,f29])).
% 0.12/0.38 fof(f74,plain,(
% 0.12/0.38 ![X0,X1,X2]: (convergent_lines(sK1_skl,X0)|convergent_lines(X1,X0)|convergent_lines(sK0_skl,X2)|convergent_lines(X1,X2))),
% 0.12/0.38 inference(resolution,[status(thm)],[f71,f29])).
% 0.12/0.38 fof(f102,definition,(
% 0.12/0.38 sQ5_spl <=> (convergent_lines(sK1_skl,sK1_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f103,plain,(
% 0.12/0.38 convergent_lines(sK1_skl,sK1_skl)|~sQ5_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f102])).
% 0.12/0.38 fof(f126,plain,(
% 0.12/0.38 ![X0]: (convergent_lines(sK1_skl,X0)|convergent_lines(sK2_skl,X0)|convergent_lines(sK0_skl,sK0_skl))),
% 0.12/0.38 inference(resolution,[status(thm)],[f74,f62])).
% 0.12/0.38 fof(f134,definition,(
% 0.12/0.38 sQ7_spl <=> (convergent_lines(sK0_skl,sK0_skl))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f135,plain,(
% 0.12/0.38 convergent_lines(sK0_skl,sK0_skl)|~sQ7_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f134])).
% 0.12/0.38 fof(f146,definition,(
% 0.12/0.38 ![X0]: (sQ10_spl <=> (convergent_lines(sK1_skl,X0)|convergent_lines(sK2_skl,X0)))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f147,plain,(
% 0.12/0.38 ![X0]: (convergent_lines(sK1_skl,X0)|convergent_lines(sK2_skl,X0)|~sQ10_spl)),
% 0.12/0.38 inference(component_clause,[status(thm)],[f146])).
% 0.12/0.38 fof(f150,plain,(
% 0.12/0.38 sQ10_spl|sQ7_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f126,f146,f134])).
% 0.12/0.38 fof(f151,plain,(
% 0.12/0.38 $false|~sQ5_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f103,f20])).
% 0.12/0.38 fof(f152,plain,(
% 0.12/0.38 ~sQ5_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f151])).
% 0.12/0.38 fof(f252,plain,(
% 0.12/0.38 convergent_lines(sK1_skl,sK1_skl)|~sQ10_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f147,f63])).
% 0.12/0.38 fof(f257,plain,(
% 0.12/0.38 sQ5_spl|~sQ10_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f252,f102,f146])).
% 0.12/0.38 fof(f258,plain,(
% 0.12/0.38 $false|~sQ7_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f135,f20])).
% 0.12/0.38 fof(f259,plain,(
% 0.12/0.38 ~sQ7_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f258])).
% 0.12/0.38 fof(f260,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(sat_refutation,[status(thm)],[f150,f152,f257,f259])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.047478 seconds
% 0.12/0.40 % CPU time: 0.125769 seconds
% 0.12/0.40 % Total memory used: 17.641 MB
% 0.12/0.40 % Net memory used: 17.294 MB
%------------------------------------------------------------------------------