%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO247+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 : n013.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 0.08s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO247+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 14:31:37 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.39 fof(f20,axiom,(
% 0.08/0.39 (! [A,L] :~ ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) ) )),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f37,conjecture,(
% 0.08/0.39 (! [A,B,C,D,L,M] :( ( left_apart_point(A,L)& left_apart_point(A,M)& right_apart_point(B,L)& right_apart_point(B,M)& left_apart_point(C,L)& right_apart_point(C,M)& right_apart_point(D,L)& left_apart_point(D,M) )=> convergent_lines(L,M) ) )),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f38,negated_conjecture,(
% 0.08/0.39 ~((! [A,B,C,D,L,M] :( ( left_apart_point(A,L)& left_apart_point(A,M)& right_apart_point(B,L)& right_apart_point(B,M)& left_apart_point(C,L)& right_apart_point(C,M)& right_apart_point(D,L)& left_apart_point(D,M) )=> convergent_lines(L,M) ) ))),
% 0.08/0.39 inference(negated_conjecture,[status(cth)],[f37])).
% 0.08/0.39 fof(f113,plain,(
% 0.08/0.39 ![A,L]: (~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))),
% 0.08/0.39 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.08/0.39 fof(f114,plain,(
% 0.08/0.39 (![A,L]: ~left_apart_point(A,L))&(![A,L]: ~left_apart_point(A,reverse_line(L)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f113])).
% 0.08/0.39 fof(f115,plain,(
% 0.08/0.39 ![X0,X1]: (~left_apart_point(X0,X1))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f114])).
% 0.08/0.39 fof(f152,plain,(
% 0.08/0.39 (?[A,B,C,D,L,M]: ((((((((left_apart_point(A,L)&left_apart_point(A,M))&right_apart_point(B,L))&right_apart_point(B,M))&left_apart_point(C,L))&right_apart_point(C,M))&right_apart_point(D,L))&left_apart_point(D,M))&~convergent_lines(L,M)))),
% 0.08/0.39 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.08/0.39 fof(f153,plain,(
% 0.08/0.39 ?[L,M]: ((?[D]: (((?[C]: (((?[B]: (((?[A]: (left_apart_point(A,L)&left_apart_point(A,M)))&right_apart_point(B,L))&right_apart_point(B,M)))&left_apart_point(C,L))&right_apart_point(C,M)))&right_apart_point(D,L))&left_apart_point(D,M)))&~convergent_lines(L,M))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f152])).
% 0.08/0.39 fof(f154,plain,(
% 0.08/0.39 ((((((((left_apart_point(sK5_skl,sK0_skl)&left_apart_point(sK5_skl,sK1_skl))&right_apart_point(sK4_skl,sK0_skl))&right_apart_point(sK4_skl,sK1_skl))&left_apart_point(sK3_skl,sK0_skl))&right_apart_point(sK3_skl,sK1_skl))&right_apart_point(sK2_skl,sK0_skl))&left_apart_point(sK2_skl,sK1_skl))&~convergent_lines(sK0_skl,sK1_skl))),
% 0.08/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(L,sK0_skl),skolemize(M,sK1_skl),skolemize(D,sK2_skl),skolemize(C,sK3_skl),skolemize(B,sK4_skl),skolemize(A,sK5_skl)],[f153])).
% 0.08/0.39 fof(f156,plain,(
% 0.08/0.39 left_apart_point(sK5_skl,sK1_skl)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f154])).
% 0.08/0.39 fof(f170,plain,(
% 0.08/0.39 $false),
% 0.08/0.39 inference(backward_subsumption_resolution,[status(thm)],[f156,f115])).
% 0.08/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.44 % Elapsed time: 0.063973 seconds
% 0.08/0.44 % CPU time: 0.062851 seconds
% 0.08/0.44 % Total memory used: 611.120 KB
% 0.08/0.44 % Net memory used: 609.584 KB
%------------------------------------------------------------------------------