%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO226+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 12:26:11 PM UTC 2026
% Result : Theorem 0.17s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO226+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 % Computer : n014.cluster.edu
% 0.17/0.47 % Model : x86_64 x86_64
% 0.17/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.47 % Memory : 8046.5625MB
% 0.17/0.47 % OS : Linux 6.8.0-71-generic
% 0.17/0.47 % CPULimit : 300
% 0.17/0.47 % WCLimit : 300
% 0.17/0.47 % DateTime : Sun Sep 20 13:57:51 UTC 2026
% 0.17/0.47 % CPUTime :
% 0.17/0.49 % Drodi V4.1.1
% 0.17/0.52 % Refutation found
% 0.17/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.52 fof(f3,axiom,(
% 0.17/0.52 (! [X] : ~ convergent_lines(X,X) )),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f6,axiom,(
% 0.17/0.52 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f9,axiom,(
% 0.17/0.52 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),X) ) )),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f10,axiom,(
% 0.17/0.52 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),Y) ) )),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f34,axiom,(
% 0.17/0.52 (! [X,Y] :( incident_point_and_line(X,Y)<=> ~ apart_point_and_line(X,Y) ) )),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f36,conjecture,(
% 0.17/0.52 (! [L,M] :( ( line(L)& line(M)& convergent_lines(L,M) )=> (? [X] :( point(X)=> ( incident_point_and_line(X,L)& incident_point_and_line(X,M) ) ) )) )),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f37,negated_conjecture,(
% 0.17/0.52 ~((! [L,M] :( ( line(L)& line(M)& convergent_lines(L,M) )=> (? [X] :( point(X)=> ( incident_point_and_line(X,L)& incident_point_and_line(X,M) ) ) )) ))),
% 0.17/0.52 inference(negated_conjecture,[status(cth)],[f36])).
% 0.17/0.52 fof(f40,plain,(
% 0.17/0.52 ![X0]: (~convergent_lines(X0,X0))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.52 fof(f47,plain,(
% 0.17/0.52 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.17/0.52 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.17/0.52 fof(f48,plain,(
% 0.17/0.52 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.17/0.52 inference(miniscoping,[status(thm)],[f47])).
% 0.17/0.52 fof(f49,plain,(
% 0.17/0.52 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f48])).
% 0.17/0.52 fof(f54,plain,(
% 0.17/0.52 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X))),
% 0.17/0.52 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.17/0.52 fof(f55,plain,(
% 0.17/0.52 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f54])).
% 0.17/0.52 fof(f56,plain,(
% 0.17/0.52 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y))),
% 0.17/0.52 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.17/0.52 fof(f57,plain,(
% 0.17/0.52 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f56])).
% 0.17/0.52 fof(f119,plain,(
% 0.17/0.52 ![X,Y]: ((~incident_point_and_line(X,Y)|~apart_point_and_line(X,Y))&(incident_point_and_line(X,Y)|apart_point_and_line(X,Y)))),
% 0.17/0.52 inference(NNF_transformation,[status(thm)],[f34])).
% 0.17/0.52 fof(f120,plain,(
% 0.17/0.52 (![X,Y]: (~incident_point_and_line(X,Y)|~apart_point_and_line(X,Y)))&(![X,Y]: (incident_point_and_line(X,Y)|apart_point_and_line(X,Y)))),
% 0.17/0.52 inference(miniscoping,[status(thm)],[f119])).
% 0.17/0.52 fof(f122,plain,(
% 0.17/0.52 ![X0,X1]: (incident_point_and_line(X0,X1)|apart_point_and_line(X0,X1))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f120])).
% 0.17/0.52 fof(f127,plain,(
% 0.17/0.52 (?[L,M]: (((line(L)&line(M))&convergent_lines(L,M))&(![X]: (point(X)&(~incident_point_and_line(X,L)|~incident_point_and_line(X,M))))))),
% 0.17/0.52 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.17/0.52 fof(f128,plain,(
% 0.17/0.52 ?[L,M]: (((line(L)&line(M))&convergent_lines(L,M))&((![X]: point(X))&(![X]: (~incident_point_and_line(X,L)|~incident_point_and_line(X,M)))))),
% 0.17/0.52 inference(miniscoping,[status(thm)],[f127])).
% 0.17/0.52 fof(f129,plain,(
% 0.17/0.52 (((line(sK0_skl)&line(sK1_skl))&convergent_lines(sK0_skl,sK1_skl))&((![X]: point(X))&(![X]: (~incident_point_and_line(X,sK0_skl)|~incident_point_and_line(X,sK1_skl)))))),
% 0.17/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(L,sK0_skl),skolemize(M,sK1_skl)],[f128])).
% 0.17/0.52 fof(f132,plain,(
% 0.17/0.52 convergent_lines(sK0_skl,sK1_skl)),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f129])).
% 0.17/0.52 fof(f134,plain,(
% 0.17/0.52 ![X0]: (~incident_point_and_line(X0,sK0_skl)|~incident_point_and_line(X0,sK1_skl))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f129])).
% 0.17/0.52 fof(f146,plain,(
% 0.17/0.52 ![X0]: (~incident_point_and_line(X0,sK0_skl)|apart_point_and_line(X0,sK1_skl))),
% 0.17/0.52 inference(resolution,[status(thm)],[f134,f122])).
% 0.17/0.52 fof(f147,plain,(
% 0.17/0.52 ![X0]: (apart_point_and_line(X0,sK1_skl)|apart_point_and_line(X0,sK0_skl))),
% 0.17/0.52 inference(resolution,[status(thm)],[f146,f122])).
% 0.17/0.52 fof(f148,plain,(
% 0.17/0.52 ![X0]: (convergent_lines(sK0_skl,X0)|convergent_lines(sK1_skl,X0))),
% 0.17/0.52 inference(resolution,[status(thm)],[f49,f132])).
% 0.17/0.52 fof(f149,plain,(
% 0.17/0.52 ![X0,X1]: (convergent_lines(sK0_skl,X0)|convergent_lines(sK1_skl,X1)|convergent_lines(X0,X1))),
% 0.17/0.52 inference(resolution,[status(thm)],[f148,f49])).
% 0.17/0.52 fof(f155,plain,(
% 0.17/0.52 convergent_lines(sK1_skl,sK0_skl)),
% 0.17/0.52 inference(resolution,[status(thm)],[f149,f40])).
% 0.17/0.52 fof(f164,definition,(
% 0.17/0.52 sQ0_spl <=> (convergent_lines(sK1_skl,sK0_skl))),
% 0.17/0.52 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/0.52 fof(f166,plain,(
% 0.17/0.52 ~convergent_lines(sK1_skl,sK0_skl)|sQ0_spl),
% 0.17/0.52 inference(component_clause,[status(thm)],[f164])).
% 0.17/0.52 fof(f264,plain,(
% 0.17/0.52 ![X0]: (~convergent_lines(sK1_skl,X0)|apart_point_and_line(intersection_point(sK1_skl,X0),sK0_skl))),
% 0.17/0.52 inference(resolution,[status(thm)],[f55,f147])).
% 0.17/0.52 fof(f547,plain,(
% 0.17/0.52 ~convergent_lines(sK1_skl,sK0_skl)|~convergent_lines(sK1_skl,sK0_skl)),
% 0.17/0.52 inference(resolution,[status(thm)],[f264,f57])).
% 0.17/0.52 fof(f550,plain,(
% 0.17/0.52 ~sQ0_spl),
% 0.17/0.52 inference(split_clause,[status(thm)],[f547,f164])).
% 0.17/0.52 fof(f553,plain,(
% 0.17/0.52 $false|sQ0_spl),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f166,f155])).
% 0.17/0.52 fof(f554,plain,(
% 0.17/0.52 sQ0_spl),
% 0.17/0.52 inference(contradiction_clause,[status(thm)],[f553])).
% 0.17/0.52 fof(f555,plain,(
% 0.17/0.52 $false),
% 0.17/0.52 inference(sat_refutation,[status(thm)],[f550,f554])).
% 0.17/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.57 % Elapsed time: 0.088552 seconds
% 0.22/0.57 % CPU time: 0.119349 seconds
% 0.22/0.57 % Total memory used: 4.540 MB
% 0.22/0.57 % Net memory used: 4.424 MB
%------------------------------------------------------------------------------