%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO262+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 12:26:17 PM UTC 2026
% Result : Theorem 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO262+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n015.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 20 14:54:49 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f2,axiom,(
% 0.12/0.40 (! [L,M] :( convergent_lines(L,M)<=> ( unequally_directed_lines(L,M)& unequally_directed_lines(L,reverse_line(M)) ) ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f14,axiom,(
% 0.12/0.40 (! [L,M] :( ( unequally_directed_lines(L,M)& unequally_directed_lines(L,reverse_line(M)) )=> ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f16,axiom,(
% 0.12/0.40 (! [L,M] :~ ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f32,conjecture,(
% 0.12/0.40 (! [L,M,N,A,B,C] :( ( between_on_line(L,A,B,C)& convergent_lines(L,M)& ~ apart_point_and_line(B,M)& convergent_lines(L,N)& convergent_lines(M,N)& ~ apart_point_and_line(B,N) )=> between_on_line(M,intersection_point(M,parallel_through_point(N,A)),B,intersection_point(M,parallel_through_point(N,C))) ) )),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f33,negated_conjecture,(
% 0.12/0.40 ~((! [L,M,N,A,B,C] :( ( between_on_line(L,A,B,C)& convergent_lines(L,M)& ~ apart_point_and_line(B,M)& convergent_lines(L,N)& convergent_lines(M,N)& ~ apart_point_and_line(B,N) )=> between_on_line(M,intersection_point(M,parallel_through_point(N,A)),B,intersection_point(M,parallel_through_point(N,C))) ) ))),
% 0.12/0.40 inference(negated_conjecture,[status(cth)],[f32])).
% 0.12/0.40 fof(f39,plain,(
% 0.12/0.40 ![L,M]: ((~convergent_lines(L,M)|(unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M))))&(convergent_lines(L,M)|(~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))))),
% 0.12/0.40 inference(NNF_transformation,[status(thm)],[f2])).
% 0.12/0.40 fof(f40,plain,(
% 0.12/0.40 (![L,M]: (~convergent_lines(L,M)|(unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M)))))&(![L,M]: (convergent_lines(L,M)|(~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f39])).
% 0.12/0.40 fof(f41,plain,(
% 0.12/0.40 ![X0,X1]: (~convergent_lines(X0,X1)|unequally_directed_lines(X0,X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f40])).
% 0.12/0.40 fof(f42,plain,(
% 0.12/0.40 ![X0,X1]: (~convergent_lines(X0,X1)|unequally_directed_lines(X0,reverse_line(X1)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f40])).
% 0.12/0.40 fof(f90,plain,(
% 0.12/0.40 ![L,M]: ((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M))))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.12/0.40 fof(f91,plain,(
% 0.12/0.40 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,X1)|left_convergent_lines(X0,reverse_line(X1)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f90])).
% 0.12/0.40 fof(f96,plain,(
% 0.12/0.40 ![L,M]: (~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M)))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.12/0.40 fof(f97,plain,(
% 0.12/0.40 (![L,M]: ~left_convergent_lines(L,M))&(![L,M]: ~left_convergent_lines(L,reverse_line(M)))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f96])).
% 0.12/0.40 fof(f98,plain,(
% 0.12/0.40 ![X0,X1]: (~left_convergent_lines(X0,X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f97])).
% 0.12/0.40 fof(f130,plain,(
% 0.12/0.40 (?[L,M,N,A,B,C]: ((((((between_on_line(L,A,B,C)&convergent_lines(L,M))&~apart_point_and_line(B,M))&convergent_lines(L,N))&convergent_lines(M,N))&~apart_point_and_line(B,N))&~between_on_line(M,intersection_point(M,parallel_through_point(N,A)),B,intersection_point(M,parallel_through_point(N,C)))))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.12/0.40 fof(f131,plain,(
% 0.12/0.40 ?[M,N,A,B,C]: ((((?[L]: (((between_on_line(L,A,B,C)&convergent_lines(L,M))&~apart_point_and_line(B,M))&convergent_lines(L,N)))&convergent_lines(M,N))&~apart_point_and_line(B,N))&~between_on_line(M,intersection_point(M,parallel_through_point(N,A)),B,intersection_point(M,parallel_through_point(N,C))))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f130])).
% 0.12/0.40 fof(f132,plain,(
% 0.12/0.40 ((((((between_on_line(sK5_skl,sK2_skl,sK3_skl,sK4_skl)&convergent_lines(sK5_skl,sK0_skl))&~apart_point_and_line(sK3_skl,sK0_skl))&convergent_lines(sK5_skl,sK1_skl))&convergent_lines(sK0_skl,sK1_skl))&~apart_point_and_line(sK3_skl,sK1_skl))&~between_on_line(sK0_skl,intersection_point(sK0_skl,parallel_through_point(sK1_skl,sK2_skl)),sK3_skl,intersection_point(sK0_skl,parallel_through_point(sK1_skl,sK4_skl))))),
% 0.12/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(M,sK0_skl),skolemize(N,sK1_skl),skolemize(A,sK2_skl),skolemize(B,sK3_skl),skolemize(C,sK4_skl),skolemize(L,sK5_skl)],[f131])).
% 0.12/0.40 fof(f137,plain,(
% 0.12/0.40 convergent_lines(sK0_skl,sK1_skl)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f132])).
% 0.12/0.40 fof(f151,plain,(
% 0.12/0.40 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,X1))),
% 0.12/0.40 inference(backward_subsumption_resolution,[status(thm)],[f91,f98])).
% 0.12/0.40 fof(f156,plain,(
% 0.12/0.40 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1)))),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f151,f98])).
% 0.12/0.40 fof(f189,plain,(
% 0.12/0.40 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~convergent_lines(X0,X1))),
% 0.12/0.40 inference(resolution,[status(thm)],[f156,f42])).
% 0.12/0.40 fof(f191,plain,(
% 0.12/0.40 ![X0,X1]: (~convergent_lines(X0,X1))),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f189,f41])).
% 0.12/0.40 fof(f192,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(backward_subsumption_resolution,[status(thm)],[f137,f191])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.048540 seconds
% 0.12/0.42 % CPU time: 0.128611 seconds
% 0.12/0.42 % Total memory used: 19.441 MB
% 0.12/0.42 % Net memory used: 19.339 MB
%------------------------------------------------------------------------------