%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO261+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 0.04s 0.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO261+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 20 14:48:52 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 % Drodi V4.1.1
% 0.04/0.32 % Refutation found
% 0.04/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.04/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.04/0.32 fof(f1,axiom,(
% 0.04/0.32 (! [X,Y] :( unequally_directed_opposite_lines(X,Y)<=> unequally_directed_lines(X,reverse_line(Y)) ) )),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f7,axiom,(
% 0.04/0.32 (! [L,M] :( convergent_lines(L,M)<=> ( unequally_directed_lines(L,M)& unequally_directed_opposite_lines(L,M) ) ) )),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f19,axiom,(
% 0.04/0.32 (! [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)) ) ) )),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f21,axiom,(
% 0.04/0.32 (! [L,M] :~ ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) )),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f37,conjecture,(
% 0.04/0.32 (! [L,M,A,B,C] :( ( between_on_line(L,A,B,C)& convergent_lines(L,M)& incident_point_and_line(B,M) )=> divides_points(M,A,C) ) )),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f38,negated_conjecture,(
% 0.04/0.32 ~((! [L,M,A,B,C] :( ( between_on_line(L,A,B,C)& convergent_lines(L,M)& incident_point_and_line(B,M) )=> divides_points(M,A,C) ) ))),
% 0.04/0.32 inference(negated_conjecture,[status(cth)],[f37])).
% 0.04/0.32 fof(f39,plain,(
% 0.04/0.32 ![X,Y]: ((~unequally_directed_opposite_lines(X,Y)|unequally_directed_lines(X,reverse_line(Y)))&(unequally_directed_opposite_lines(X,Y)|~unequally_directed_lines(X,reverse_line(Y))))),
% 0.04/0.32 inference(NNF_transformation,[status(thm)],[f1])).
% 0.04/0.32 fof(f40,plain,(
% 0.04/0.32 (![X,Y]: (~unequally_directed_opposite_lines(X,Y)|unequally_directed_lines(X,reverse_line(Y))))&(![X,Y]: (unequally_directed_opposite_lines(X,Y)|~unequally_directed_lines(X,reverse_line(Y))))),
% 0.04/0.32 inference(miniscoping,[status(thm)],[f39])).
% 0.04/0.32 fof(f41,plain,(
% 0.04/0.32 ![X0,X1]: (~unequally_directed_opposite_lines(X0,X1)|unequally_directed_lines(X0,reverse_line(X1)))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f40])).
% 0.04/0.32 fof(f64,plain,(
% 0.04/0.32 ![L,M]: ((~convergent_lines(L,M)|(unequally_directed_lines(L,M)&unequally_directed_opposite_lines(L,M)))&(convergent_lines(L,M)|(~unequally_directed_lines(L,M)|~unequally_directed_opposite_lines(L,M))))),
% 0.04/0.32 inference(NNF_transformation,[status(thm)],[f7])).
% 0.04/0.32 fof(f65,plain,(
% 0.04/0.32 (![L,M]: (~convergent_lines(L,M)|(unequally_directed_lines(L,M)&unequally_directed_opposite_lines(L,M))))&(![L,M]: (convergent_lines(L,M)|(~unequally_directed_lines(L,M)|~unequally_directed_opposite_lines(L,M))))),
% 0.04/0.32 inference(miniscoping,[status(thm)],[f64])).
% 0.04/0.32 fof(f66,plain,(
% 0.04/0.32 ![X0,X1]: (~convergent_lines(X0,X1)|unequally_directed_lines(X0,X1))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f65])).
% 0.04/0.32 fof(f67,plain,(
% 0.04/0.32 ![X0,X1]: (~convergent_lines(X0,X1)|unequally_directed_opposite_lines(X0,X1))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f65])).
% 0.04/0.32 fof(f111,plain,(
% 0.04/0.32 ![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))))),
% 0.04/0.32 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.04/0.32 fof(f112,plain,(
% 0.04/0.32 ![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)))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f111])).
% 0.04/0.32 fof(f117,plain,(
% 0.04/0.32 ![L,M]: (~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M)))),
% 0.04/0.32 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.04/0.32 fof(f118,plain,(
% 0.04/0.32 (![L,M]: ~left_convergent_lines(L,M))&(![L,M]: ~left_convergent_lines(L,reverse_line(M)))),
% 0.04/0.32 inference(miniscoping,[status(thm)],[f117])).
% 0.04/0.32 fof(f119,plain,(
% 0.04/0.32 ![X0,X1]: (~left_convergent_lines(X0,X1))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f118])).
% 0.04/0.32 fof(f152,plain,(
% 0.04/0.32 (?[L,M,A,B,C]: (((between_on_line(L,A,B,C)&convergent_lines(L,M))&incident_point_and_line(B,M))&~divides_points(M,A,C)))),
% 0.04/0.32 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.04/0.32 fof(f153,plain,(
% 0.04/0.32 ?[M,A,C]: ((?[B]: ((?[L]: (between_on_line(L,A,B,C)&convergent_lines(L,M)))&incident_point_and_line(B,M)))&~divides_points(M,A,C))),
% 0.04/0.33 inference(miniscoping,[status(thm)],[f152])).
% 0.04/0.33 fof(f154,plain,(
% 0.04/0.33 (((between_on_line(sK4_skl,sK1_skl,sK3_skl,sK2_skl)&convergent_lines(sK4_skl,sK0_skl))&incident_point_and_line(sK3_skl,sK0_skl))&~divides_points(sK0_skl,sK1_skl,sK2_skl))),
% 0.04/0.33 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)],[f153])).
% 0.04/0.33 fof(f156,plain,(
% 0.04/0.33 convergent_lines(sK4_skl,sK0_skl)),
% 0.04/0.33 inference(cnf_transformation,[status(thm)],[f154])).
% 0.04/0.33 fof(f169,plain,(
% 0.04/0.33 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,X1))),
% 0.04/0.33 inference(backward_subsumption_resolution,[status(thm)],[f112,f119])).
% 0.04/0.33 fof(f175,plain,(
% 0.04/0.33 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1)))),
% 0.04/0.33 inference(forward_subsumption_resolution,[status(thm)],[f169,f119])).
% 0.04/0.33 fof(f327,plain,(
% 0.04/0.33 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_opposite_lines(X0,X1))),
% 0.04/0.33 inference(resolution,[status(thm)],[f175,f41])).
% 0.04/0.33 fof(f337,plain,(
% 0.04/0.33 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~convergent_lines(X0,X1))),
% 0.04/0.33 inference(resolution,[status(thm)],[f327,f67])).
% 0.04/0.33 fof(f341,plain,(
% 0.04/0.33 ![X0,X1]: (~convergent_lines(X0,X1))),
% 0.04/0.33 inference(forward_subsumption_resolution,[status(thm)],[f337,f66])).
% 0.04/0.33 fof(f342,plain,(
% 0.04/0.33 $false),
% 0.04/0.33 inference(backward_subsumption_resolution,[status(thm)],[f156,f341])).
% 0.04/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.33 % Elapsed time: 0.034028 seconds
% 0.08/0.33 % CPU time: 0.077464 seconds
% 0.08/0.33 % Total memory used: 19.823 MB
% 0.08/0.33 % Net memory used: 19.694 MB
%------------------------------------------------------------------------------