%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO171+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 : n007.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 0.19s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO171+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n007.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 20 12:51:20 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.49 fof(f12,axiom,(
% 0.19/0.49 (! [X,Y] :( convergent_lines(X,Y)=> distinct_lines(X,Y) ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f13,conjecture,(
% 0.19/0.49 (! [X,Y] :( convergent_lines(X,Y)=> distinct_lines(X,Y) ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f14,negated_conjecture,(
% 0.19/0.49 ~((! [X,Y] :( convergent_lines(X,Y)=> distinct_lines(X,Y) ) ))),
% 0.19/0.49 inference(negated_conjecture,[status(cth)],[f13])).
% 0.19/0.49 fof(f43,plain,(
% 0.19/0.49 ![X,Y]: (~convergent_lines(X,Y)|distinct_lines(X,Y))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.19/0.49 fof(f44,plain,(
% 0.19/0.49 ![X0,X1]: (~convergent_lines(X0,X1)|distinct_lines(X0,X1))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f43])).
% 0.19/0.49 fof(f45,plain,(
% 0.19/0.49 (?[X,Y]: (convergent_lines(X,Y)&~distinct_lines(X,Y)))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.19/0.49 fof(f46,plain,(
% 0.19/0.49 (convergent_lines(sK0_skl,sK1_skl)&~distinct_lines(sK0_skl,sK1_skl))),
% 0.19/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl)],[f45])).
% 0.19/0.49 fof(f47,plain,(
% 0.19/0.49 convergent_lines(sK0_skl,sK1_skl)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f46])).
% 0.19/0.49 fof(f48,plain,(
% 0.19/0.49 ~distinct_lines(sK0_skl,sK1_skl)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f46])).
% 0.19/0.49 fof(f49,plain,(
% 0.19/0.49 distinct_lines(sK0_skl,sK1_skl)),
% 0.19/0.49 inference(resolution,[status(thm)],[f44,f47])).
% 0.19/0.49 fof(f50,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f49,f48])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.55 % Elapsed time: 0.085423 seconds
% 0.25/0.55 % CPU time: 0.051875 seconds
% 0.25/0.55 % Total memory used: 530.352 KB
% 0.25/0.55 % Net memory used: 521.792 KB
%------------------------------------------------------------------------------