%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO264+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 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 12:26:17 PM UTC 2026
% Result : Theorem 0.02s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO264+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Sun Sep 20 15:01:05 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.40 % Refutation found
% 0.02/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.40 fof(f15,axiom,(
% 0.02/0.40 (! [A,L] :~ ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) ) )),
% 0.02/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f32,conjecture,(
% 0.02/0.40 (! [A,B,C,D] :( left_apart_point(C,line_connecting(A,B))=> ( ( left_apart_point(D,reverse_line(line_connecting(B,C)))& left_apart_point(D,reverse_line(line_connecting(C,A))) )=> left_apart_point(D,line_connecting(A,B)) ) ) )),
% 0.02/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f33,negated_conjecture,(
% 0.02/0.40 ~((! [A,B,C,D] :( left_apart_point(C,line_connecting(A,B))=> ( ( left_apart_point(D,reverse_line(line_connecting(B,C)))& left_apart_point(D,reverse_line(line_connecting(C,A))) )=> left_apart_point(D,line_connecting(A,B)) ) ) ))),
% 0.02/0.40 inference(negated_conjecture,[status(cth)],[f32])).
% 0.02/0.40 fof(f92,plain,(
% 0.02/0.40 ![A,L]: (~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))),
% 0.02/0.40 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.02/0.40 fof(f93,plain,(
% 0.02/0.40 (![A,L]: ~left_apart_point(A,L))&(![A,L]: ~left_apart_point(A,reverse_line(L)))),
% 0.02/0.40 inference(miniscoping,[status(thm)],[f92])).
% 0.02/0.40 fof(f94,plain,(
% 0.02/0.40 ![X0,X1]: (~left_apart_point(X0,X1))),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f93])).
% 0.02/0.40 fof(f130,plain,(
% 0.02/0.40 (?[A,B,C,D]: (left_apart_point(C,line_connecting(A,B))&((left_apart_point(D,reverse_line(line_connecting(B,C)))&left_apart_point(D,reverse_line(line_connecting(C,A))))&~left_apart_point(D,line_connecting(A,B)))))),
% 0.02/0.40 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.02/0.40 fof(f131,plain,(
% 0.02/0.40 ?[A,B,C]: (left_apart_point(C,line_connecting(A,B))&(?[D]: ((left_apart_point(D,reverse_line(line_connecting(B,C)))&left_apart_point(D,reverse_line(line_connecting(C,A))))&~left_apart_point(D,line_connecting(A,B)))))),
% 0.02/0.40 inference(miniscoping,[status(thm)],[f130])).
% 0.02/0.40 fof(f132,plain,(
% 0.02/0.40 (left_apart_point(sK2_skl,line_connecting(sK0_skl,sK1_skl))&((left_apart_point(sK3_skl,reverse_line(line_connecting(sK1_skl,sK2_skl)))&left_apart_point(sK3_skl,reverse_line(line_connecting(sK2_skl,sK0_skl))))&~left_apart_point(sK3_skl,line_connecting(sK0_skl,sK1_skl))))),
% 0.02/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl)],[f131])).
% 0.02/0.40 fof(f135,plain,(
% 0.02/0.40 left_apart_point(sK3_skl,reverse_line(line_connecting(sK2_skl,sK0_skl)))),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f132])).
% 0.02/0.40 fof(f143,plain,(
% 0.02/0.40 $false),
% 0.02/0.40 inference(backward_subsumption_resolution,[status(thm)],[f135,f94])).
% 0.02/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.42 % Elapsed time: 0.046784 seconds
% 0.02/0.42 % CPU time: 0.112019 seconds
% 0.02/0.42 % Total memory used: 19.032 MB
% 0.02/0.42 % Net memory used: 18.977 MB
%------------------------------------------------------------------------------