%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO171+3 : TPTP v9.3.1. Released v4.0.0.
% 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 12:25:56 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO171+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n026.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 13:00:52 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (! [X] : ~ convergent_lines(X,X) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,axiom,(
% 0.13/0.39 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f14,axiom,(
% 0.13/0.39 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( distinct_lines(Y,Z)| convergent_lines(X,Z) ) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f36,conjecture,(
% 0.13/0.39 (! [X,Y] :( convergent_lines(X,Y)=> distinct_lines(X,Y) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f37,negated_conjecture,(
% 0.13/0.39 ~((! [X,Y] :( convergent_lines(X,Y)=> distinct_lines(X,Y) ) ))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f36])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 ![X0]: (~convergent_lines(X0,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f47])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 ![X,Y,Z]: (~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.13/0.39 fof(f67,plain,(
% 0.13/0.39 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (distinct_lines(Y,Z)|convergent_lines(X,Z))))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f66])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~convergent_lines(X0,X1)|distinct_lines(X1,X2)|convergent_lines(X0,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f67])).
% 0.13/0.39 fof(f127,plain,(
% 0.13/0.39 (?[X,Y]: (convergent_lines(X,Y)&~distinct_lines(X,Y)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.13/0.39 fof(f128,plain,(
% 0.13/0.39 (convergent_lines(sK0_skl,sK1_skl)&~distinct_lines(sK0_skl,sK1_skl))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl)],[f127])).
% 0.13/0.39 fof(f129,plain,(
% 0.13/0.39 convergent_lines(sK0_skl,sK1_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f128])).
% 0.13/0.39 fof(f130,plain,(
% 0.13/0.39 ~distinct_lines(sK0_skl,sK1_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f128])).
% 0.13/0.39 fof(f141,plain,(
% 0.13/0.39 ![X0]: (convergent_lines(sK0_skl,X0)|convergent_lines(sK1_skl,X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f49,f129])).
% 0.13/0.39 fof(f143,plain,(
% 0.13/0.39 convergent_lines(sK1_skl,sK0_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f141,f40])).
% 0.13/0.39 fof(f145,plain,(
% 0.13/0.39 ![X0]: (distinct_lines(sK0_skl,X0)|convergent_lines(sK1_skl,X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f68,f143])).
% 0.13/0.39 fof(f152,plain,(
% 0.13/0.39 convergent_lines(sK1_skl,sK1_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f145,f130])).
% 0.13/0.39 fof(f157,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f152,f40])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.053191 seconds
% 0.13/0.41 % CPU time: 0.113932 seconds
% 0.13/0.41 % Total memory used: 18.247 MB
% 0.13/0.41 % Net memory used: 18.156 MB
%------------------------------------------------------------------------------