%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO261+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 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO261+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
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 14:57:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f2,axiom,(
% 0.10/0.40 (! [L,M] :( convergent_lines(L,M)<=> ( unequally_directed_lines(L,M)& unequally_directed_lines(L,reverse_line(M)) ) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f10,axiom,(
% 0.10/0.40 (! [L] : ~ unequally_directed_lines(L,L) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f12,axiom,(
% 0.10/0.40 (! [L,M,N] :( ( unequally_directed_lines(L,M)& unequally_directed_lines(L,reverse_line(M)) )=> ( ( unequally_directed_lines(L,N)& unequally_directed_lines(L,reverse_line(N)) )| ( unequally_directed_lines(M,N)& unequally_directed_lines(M,reverse_line(N)) ) ) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f14,axiom,(
% 0.10/0.40 (! [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)) ) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f16,axiom,(
% 0.10/0.40 (! [L,M] :~ ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f32,conjecture,(
% 0.10/0.40 (! [L,M,A,B,C] :( ( between_on_line(L,A,B,C)& convergent_lines(L,M)& ~ apart_point_and_line(B,M) )=> divides_points(M,A,C) ) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f33,negated_conjecture,(
% 0.10/0.40 ~((! [L,M,A,B,C] :( ( between_on_line(L,A,B,C)& convergent_lines(L,M)& ~ apart_point_and_line(B,M) )=> divides_points(M,A,C) ) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f32])).
% 0.10/0.40 fof(f39,plain,(
% 0.10/0.40 ![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)))))),
% 0.10/0.40 inference(NNF_transformation,[status(thm)],[f2])).
% 0.10/0.40 fof(f40,plain,(
% 0.10/0.40 (![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)))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f39])).
% 0.10/0.40 fof(f41,plain,(
% 0.10/0.40 ![X0,X1]: (~convergent_lines(X0,X1)|unequally_directed_lines(X0,X1))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f40])).
% 0.10/0.40 fof(f42,plain,(
% 0.10/0.40 ![X0,X1]: (~convergent_lines(X0,X1)|unequally_directed_lines(X0,reverse_line(X1)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f40])).
% 0.10/0.40 fof(f78,plain,(
% 0.10/0.40 ![X0]: (~unequally_directed_lines(X0,X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.40 fof(f82,plain,(
% 0.10/0.40 ![L,M,N]: ((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|((unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N)))|(unequally_directed_lines(M,N)&unequally_directed_lines(M,reverse_line(N)))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.10/0.40 fof(f83,definition,(
% 0.10/0.40 ![L,N]: (sP0_prd(N,L)<=>(unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N))))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.10/0.40 fof(f84,plain,(
% 0.10/0.40 ![L,M,N]: ((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|(sP0_prd(N,L)|(unequally_directed_lines(M,N)&unequally_directed_lines(M,reverse_line(N)))))),
% 0.10/0.40 inference(formula_renaming,[status(thm)],[f82,f83])).
% 0.10/0.40 fof(f85,plain,(
% 0.10/0.40 ![L,M]: ((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|(![N]: (sP0_prd(N,L)|(unequally_directed_lines(M,N)&unequally_directed_lines(M,reverse_line(N))))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f84])).
% 0.10/0.40 fof(f86,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|sP0_prd(X2,X0)|unequally_directed_lines(X1,X2))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f85])).
% 0.10/0.40 fof(f90,plain,(
% 0.10/0.40 ![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))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.10/0.40 fof(f91,plain,(
% 0.10/0.40 ![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)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f90])).
% 0.10/0.40 fof(f96,plain,(
% 0.10/0.40 ![L,M]: (~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M)))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.10/0.40 fof(f97,plain,(
% 0.10/0.40 (![L,M]: ~left_convergent_lines(L,M))&(![L,M]: ~left_convergent_lines(L,reverse_line(M)))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f96])).
% 0.10/0.40 fof(f98,plain,(
% 0.10/0.40 ![X0,X1]: (~left_convergent_lines(X0,X1))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f97])).
% 0.10/0.40 fof(f130,plain,(
% 0.10/0.40 (?[L,M,A,B,C]: (((between_on_line(L,A,B,C)&convergent_lines(L,M))&~apart_point_and_line(B,M))&~divides_points(M,A,C)))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.10/0.40 fof(f131,plain,(
% 0.10/0.40 ?[M,A,C]: ((?[B]: ((?[L]: (between_on_line(L,A,B,C)&convergent_lines(L,M)))&~apart_point_and_line(B,M)))&~divides_points(M,A,C))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f130])).
% 0.10/0.40 fof(f132,plain,(
% 0.10/0.40 (((between_on_line(sK4_skl,sK1_skl,sK3_skl,sK2_skl)&convergent_lines(sK4_skl,sK0_skl))&~apart_point_and_line(sK3_skl,sK0_skl))&~divides_points(sK0_skl,sK1_skl,sK2_skl))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(M,sK0_skl),skolemize(A,sK1_skl),skolemize(C,sK2_skl),skolemize(B,sK3_skl),skolemize(L,sK4_skl)],[f131])).
% 0.10/0.40 fof(f134,plain,(
% 0.10/0.40 convergent_lines(sK4_skl,sK0_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f132])).
% 0.10/0.40 fof(f137,plain,(
% 0.10/0.40 ![L,N]: ((~sP0_prd(N,L)|(unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N))))&(sP0_prd(N,L)|(~unequally_directed_lines(L,N)|~unequally_directed_lines(L,reverse_line(N)))))),
% 0.10/0.40 inference(NNF_transformation,[status(thm)],[f83])).
% 0.10/0.40 fof(f138,plain,(
% 0.10/0.40 (![L,N]: (~sP0_prd(N,L)|(unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N)))))&(![L,N]: (sP0_prd(N,L)|(~unequally_directed_lines(L,N)|~unequally_directed_lines(L,reverse_line(N)))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f137])).
% 0.10/0.40 fof(f139,plain,(
% 0.10/0.40 ![X0,X1]: (~sP0_prd(X0,X1)|unequally_directed_lines(X1,X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f138])).
% 0.10/0.40 fof(f140,plain,(
% 0.10/0.40 ![X0,X1]: (~sP0_prd(X0,X1)|unequally_directed_lines(X1,reverse_line(X0)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f138])).
% 0.10/0.40 fof(f208,plain,(
% 0.10/0.40 ![X0,X1,X2]: (~unequally_directed_lines(X0,X1)|sP0_prd(X2,X0)|unequally_directed_lines(X1,X2)|~convergent_lines(X0,X1))),
% 0.10/0.40 inference(resolution,[status(thm)],[f86,f42])).
% 0.10/0.40 fof(f210,plain,(
% 0.10/0.40 ![X0,X1,X2]: (sP0_prd(X0,X1)|unequally_directed_lines(X2,X0)|~convergent_lines(X1,X2))),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f208,f41])).
% 0.10/0.40 fof(f290,plain,(
% 0.10/0.40 ![X0]: (sP0_prd(X0,sK4_skl)|unequally_directed_lines(sK0_skl,X0))),
% 0.10/0.40 inference(resolution,[status(thm)],[f210,f134])).
% 0.10/0.40 fof(f293,plain,(
% 0.10/0.40 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,reverse_line(X1)))),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f91,f98])).
% 0.10/0.40 fof(f294,plain,(
% 0.10/0.40 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1)))),
% 0.10/0.40 inference(resolution,[status(thm)],[f293,f98])).
% 0.10/0.40 fof(f300,plain,(
% 0.10/0.40 sP0_prd(sK0_skl,sK4_skl)),
% 0.10/0.40 inference(resolution,[status(thm)],[f290,f78])).
% 0.10/0.40 fof(f301,plain,(
% 0.10/0.40 unequally_directed_lines(sK4_skl,reverse_line(sK0_skl))),
% 0.10/0.40 inference(resolution,[status(thm)],[f300,f140])).
% 0.10/0.40 fof(f302,plain,(
% 0.10/0.40 unequally_directed_lines(sK4_skl,sK0_skl)),
% 0.10/0.40 inference(resolution,[status(thm)],[f300,f139])).
% 0.10/0.40 fof(f352,plain,(
% 0.10/0.40 ~unequally_directed_lines(sK4_skl,sK0_skl)),
% 0.10/0.40 inference(resolution,[status(thm)],[f294,f301])).
% 0.10/0.40 fof(f357,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f352,f302])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.047506 seconds
% 0.10/0.43 % CPU time: 0.143885 seconds
% 0.10/0.43 % Total memory used: 19.409 MB
% 0.10/0.43 % Net memory used: 19.293 MB
%------------------------------------------------------------------------------