%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO171+1 : 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 : n002.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 12:25:55 PM UTC 2026
% Result : Theorem 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO171+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n002.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 12:57:01 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f3,axiom,(
% 0.12/0.37 (! [X] : ~ convergent_lines(X,X) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f6,axiom,(
% 0.12/0.37 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f14,axiom,(
% 0.12/0.37 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( distinct_lines(Y,Z)| convergent_lines(X,Z) ) ) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f15,conjecture,(
% 0.12/0.37 (! [X,Y] :( convergent_lines(X,Y)=> distinct_lines(X,Y) ) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f16,negated_conjecture,(
% 0.12/0.37 ~((! [X,Y] :( convergent_lines(X,Y)=> distinct_lines(X,Y) ) ))),
% 0.12/0.37 inference(negated_conjecture,[status(cth)],[f15])).
% 0.12/0.37 fof(f19,plain,(
% 0.12/0.37 ![X0]: (~convergent_lines(X0,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.37 fof(f26,plain,(
% 0.12/0.37 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f27,plain,(
% 0.12/0.37 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f26])).
% 0.12/0.37 fof(f28,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.37 fof(f45,plain,(
% 0.12/0.37 ![X,Y,Z]: (~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.12/0.37 fof(f46,plain,(
% 0.12/0.37 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (distinct_lines(Y,Z)|convergent_lines(X,Z))))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f45])).
% 0.12/0.37 fof(f47,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~convergent_lines(X0,X1)|distinct_lines(X1,X2)|convergent_lines(X0,X2))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f46])).
% 0.12/0.37 fof(f48,plain,(
% 0.12/0.37 (?[X,Y]: (convergent_lines(X,Y)&~distinct_lines(X,Y)))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.12/0.37 fof(f49,plain,(
% 0.12/0.37 (convergent_lines(sK0_skl,sK1_skl)&~distinct_lines(sK0_skl,sK1_skl))),
% 0.12/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl)],[f48])).
% 0.12/0.37 fof(f50,plain,(
% 0.12/0.37 convergent_lines(sK0_skl,sK1_skl)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f49])).
% 0.12/0.37 fof(f51,plain,(
% 0.12/0.37 ~distinct_lines(sK0_skl,sK1_skl)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f49])).
% 0.12/0.37 fof(f52,plain,(
% 0.12/0.37 ![X0]: (convergent_lines(sK0_skl,X0)|convergent_lines(sK1_skl,X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f28,f50])).
% 0.12/0.37 fof(f54,plain,(
% 0.12/0.37 convergent_lines(sK1_skl,sK0_skl)),
% 0.12/0.37 inference(resolution,[status(thm)],[f52,f19])).
% 0.12/0.37 fof(f56,plain,(
% 0.12/0.37 ![X0]: (distinct_lines(sK0_skl,X0)|convergent_lines(sK1_skl,X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f47,f54])).
% 0.12/0.37 fof(f61,plain,(
% 0.12/0.37 convergent_lines(sK1_skl,sK1_skl)),
% 0.12/0.37 inference(resolution,[status(thm)],[f56,f51])).
% 0.12/0.37 fof(f64,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f61,f19])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.031131 seconds
% 0.12/0.39 % CPU time: 0.072905 seconds
% 0.12/0.39 % Total memory used: 7.997 MB
% 0.12/0.39 % Net memory used: 7.830 MB
%------------------------------------------------------------------------------