%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO242+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 : n005.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 12:26:14 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO242+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 14:21:34 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f3,axiom,(
% 0.14/0.39 (! [X,Y] :( right_convergent_lines(X,Y)<=> left_convergent_lines(X,reverse_line(Y)) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f21,axiom,(
% 0.14/0.39 (! [L,M] :~ ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f37,conjecture,(
% 0.14/0.39 (! [A,B,L] :( ( incident_point_and_line(A,L)& distinct_points(A,B)& right_convergent_lines(L,line_connecting(A,B)) )=> right_apart_point(B,L) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f38,negated_conjecture,(
% 0.14/0.39 ~((! [A,B,L] :( ( incident_point_and_line(A,L)& distinct_points(A,B)& right_convergent_lines(L,line_connecting(A,B)) )=> right_apart_point(B,L) ) ))),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f37])).
% 0.14/0.39 fof(f47,plain,(
% 0.14/0.39 ![X,Y]: ((~right_convergent_lines(X,Y)|left_convergent_lines(X,reverse_line(Y)))&(right_convergent_lines(X,Y)|~left_convergent_lines(X,reverse_line(Y))))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f3])).
% 0.14/0.39 fof(f48,plain,(
% 0.14/0.39 (![X,Y]: (~right_convergent_lines(X,Y)|left_convergent_lines(X,reverse_line(Y))))&(![X,Y]: (right_convergent_lines(X,Y)|~left_convergent_lines(X,reverse_line(Y))))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f47])).
% 0.14/0.39 fof(f49,plain,(
% 0.14/0.39 ![X0,X1]: (~right_convergent_lines(X0,X1)|left_convergent_lines(X0,reverse_line(X1)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f48])).
% 0.14/0.39 fof(f117,plain,(
% 0.14/0.39 ![L,M]: (~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M)))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.14/0.39 fof(f118,plain,(
% 0.14/0.39 (![L,M]: ~left_convergent_lines(L,M))&(![L,M]: ~left_convergent_lines(L,reverse_line(M)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f117])).
% 0.14/0.39 fof(f119,plain,(
% 0.14/0.39 ![X0,X1]: (~left_convergent_lines(X0,X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f118])).
% 0.14/0.39 fof(f152,plain,(
% 0.14/0.39 (?[A,B,L]: (((incident_point_and_line(A,L)&distinct_points(A,B))&right_convergent_lines(L,line_connecting(A,B)))&~right_apart_point(B,L)))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.14/0.39 fof(f153,plain,(
% 0.14/0.39 ?[B,L]: ((?[A]: ((incident_point_and_line(A,L)&distinct_points(A,B))&right_convergent_lines(L,line_connecting(A,B))))&~right_apart_point(B,L))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f152])).
% 0.14/0.39 fof(f154,plain,(
% 0.14/0.39 (((incident_point_and_line(sK2_skl,sK1_skl)&distinct_points(sK2_skl,sK0_skl))&right_convergent_lines(sK1_skl,line_connecting(sK2_skl,sK0_skl)))&~right_apart_point(sK0_skl,sK1_skl))),
% 0.14/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(B,sK0_skl),skolemize(L,sK1_skl),skolemize(A,sK2_skl)],[f153])).
% 0.14/0.39 fof(f157,plain,(
% 0.14/0.39 right_convergent_lines(sK1_skl,line_connecting(sK2_skl,sK0_skl))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f154])).
% 0.14/0.39 fof(f167,plain,(
% 0.14/0.39 ![X0,X1]: (~right_convergent_lines(X0,X1))),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f49,f119])).
% 0.14/0.39 fof(f169,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f157,f167])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.041704 seconds
% 0.14/0.41 % CPU time: 0.118561 seconds
% 0.14/0.41 % Total memory used: 19.259 MB
% 0.14/0.41 % Net memory used: 19.177 MB
%------------------------------------------------------------------------------