%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO259+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 : n016.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 12:26:16 PM UTC 2026
% Result : Theorem 0.11s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO259+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
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 14:51:51 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.51 % Refutation found
% 0.11/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.51 fof(f10,axiom,(
% 0.11/0.51 (! [L] : ~ unequally_directed_lines(L,L) )),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f11,axiom,(
% 0.11/0.51 (! [L,M,N] :( unequally_directed_lines(L,M)=> ( unequally_directed_lines(L,N)| unequally_directed_lines(M,N) ) ) )),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f13,axiom,(
% 0.11/0.51 (! [L,M] :( ( line(L)& line(M) )=> ( unequally_directed_lines(L,M)| unequally_directed_lines(L,reverse_line(M)) ) ) )),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f14,axiom,(
% 0.11/0.51 (! [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)) ) ) )),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f16,axiom,(
% 0.11/0.51 (! [L,M] :~ ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) )),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f25,axiom,(
% 0.11/0.51 (! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) )),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f32,conjecture,(
% 0.11/0.51 (! [L,A,B,C] :( ( line(L)& distinct_points(A,C)& distinct_points(B,C)& distinct_points(A,B) )=> ~ ( between_on_line(L,A,B,C)& between_on_line(L,B,A,C) ) ) )),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f33,negated_conjecture,(
% 0.11/0.51 ~((! [L,A,B,C] :( ( line(L)& distinct_points(A,C)& distinct_points(B,C)& distinct_points(A,B) )=> ~ ( between_on_line(L,A,B,C)& between_on_line(L,B,A,C) ) ) ))),
% 0.11/0.51 inference(negated_conjecture,[status(cth)],[f32])).
% 0.11/0.51 fof(f78,plain,(
% 0.11/0.51 ![X0]: (~unequally_directed_lines(X0,X0))),
% 0.11/0.51 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.51 fof(f79,plain,(
% 0.11/0.51 ![L,M,N]: (~unequally_directed_lines(L,M)|(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))),
% 0.11/0.51 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.11/0.51 fof(f80,plain,(
% 0.11/0.51 ![L,M]: (~unequally_directed_lines(L,M)|(![N]: (unequally_directed_lines(L,N)|unequally_directed_lines(M,N))))),
% 0.11/0.51 inference(miniscoping,[status(thm)],[f79])).
% 0.11/0.51 fof(f81,plain,(
% 0.11/0.51 ![X0,X1,X2]: (~unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,X2)|unequally_directed_lines(X1,X2))),
% 0.11/0.51 inference(cnf_transformation,[status(thm)],[f80])).
% 0.11/0.51 fof(f88,plain,(
% 0.11/0.51 ![L,M]: ((~line(L)|~line(M))|(unequally_directed_lines(L,M)|unequally_directed_lines(L,reverse_line(M))))),
% 0.11/0.51 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.11/0.51 fof(f89,plain,(
% 0.11/0.51 ![X0,X1]: (~line(X0)|~line(X1)|unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,reverse_line(X1)))),
% 0.11/0.51 inference(cnf_transformation,[status(thm)],[f88])).
% 0.11/0.51 fof(f90,plain,(
% 0.11/0.51 ![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))))),
% 0.11/0.51 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.11/0.51 fof(f91,plain,(
% 0.11/0.51 ![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)))),
% 0.11/0.51 inference(cnf_transformation,[status(thm)],[f90])).
% 0.11/0.51 fof(f96,plain,(
% 0.11/0.51 ![L,M]: (~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M)))),
% 0.11/0.51 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.11/0.51 fof(f97,plain,(
% 0.11/0.51 (![L,M]: ~left_convergent_lines(L,M))&(![L,M]: ~left_convergent_lines(L,reverse_line(M)))),
% 0.11/0.51 inference(miniscoping,[status(thm)],[f96])).
% 0.11/0.51 fof(f98,plain,(
% 0.11/0.51 ![X0,X1]: (~left_convergent_lines(X0,X1))),
% 0.11/0.51 inference(cnf_transformation,[status(thm)],[f97])).
% 0.11/0.51 fof(f116,plain,(
% 0.11/0.51 ![X0,X1]: (~unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))))),
% 0.11/0.51 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.51 fof(f130,plain,(
% 0.11/0.51 (?[L,A,B,C]: ((((line(L)&distinct_points(A,C))&distinct_points(B,C))&distinct_points(A,B))&(between_on_line(L,A,B,C)&between_on_line(L,B,A,C))))),
% 0.11/0.51 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.11/0.51 fof(f131,plain,(
% 0.11/0.51 ((((line(sK0_skl)&distinct_points(sK1_skl,sK3_skl))&distinct_points(sK2_skl,sK3_skl))&distinct_points(sK1_skl,sK2_skl))&(between_on_line(sK0_skl,sK1_skl,sK2_skl,sK3_skl)&between_on_line(sK0_skl,sK2_skl,sK1_skl,sK3_skl)))),
% 0.11/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(L,sK0_skl),skolemize(A,sK1_skl),skolemize(B,sK2_skl),skolemize(C,sK3_skl)],[f130])).
% 0.11/0.51 fof(f132,plain,(
% 0.11/0.51 line(sK0_skl)),
% 0.11/0.51 inference(cnf_transformation,[status(thm)],[f131])).
% 0.11/0.51 fof(f220,plain,(
% 0.11/0.51 ![X0]: (~line(X0)|unequally_directed_lines(X0,sK0_skl)|unequally_directed_lines(X0,reverse_line(sK0_skl)))),
% 0.11/0.51 inference(resolution,[status(thm)],[f89,f132])).
% 0.11/0.51 fof(f299,plain,(
% 0.11/0.51 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,reverse_line(X1)))),
% 0.11/0.51 inference(forward_subsumption_resolution,[status(thm)],[f91,f98])).
% 0.11/0.51 fof(f360,plain,(
% 0.11/0.51 unequally_directed_lines(sK0_skl,sK0_skl)|unequally_directed_lines(sK0_skl,reverse_line(sK0_skl))),
% 0.11/0.51 inference(resolution,[status(thm)],[f220,f132])).
% 0.11/0.51 fof(f361,plain,(
% 0.11/0.51 unequally_directed_lines(sK0_skl,reverse_line(sK0_skl))),
% 0.11/0.51 inference(forward_subsumption_resolution,[status(thm)],[f360,f78])).
% 0.11/0.51 fof(f367,plain,(
% 0.11/0.51 ![X0]: (unequally_directed_lines(sK0_skl,X0)|unequally_directed_lines(reverse_line(sK0_skl),X0))),
% 0.11/0.51 inference(resolution,[status(thm)],[f361,f81])).
% 0.11/0.51 fof(f369,plain,(
% 0.11/0.51 ![X0]: (unequally_directed_lines(sK0_skl,reverse_line(X0))|~unequally_directed_lines(reverse_line(sK0_skl),X0)|left_convergent_lines(reverse_line(sK0_skl),reverse_line(X0)))),
% 0.11/0.51 inference(resolution,[status(thm)],[f367,f299])).
% 0.11/0.51 fof(f374,plain,(
% 0.11/0.51 ![X0,X1]: (unequally_directed_lines(sK0_skl,X0)|unequally_directed_lines(reverse_line(sK0_skl),X1)|unequally_directed_lines(X0,X1))),
% 0.11/0.51 inference(resolution,[status(thm)],[f367,f81])).
% 0.11/0.51 fof(f376,plain,(
% 0.11/0.51 ![X0]: (unequally_directed_lines(sK0_skl,reverse_line(X0))|~unequally_directed_lines(reverse_line(sK0_skl),X0))),
% 0.11/0.51 inference(forward_subsumption_resolution,[status(thm)],[f369,f98])).
% 0.11/0.51 fof(f411,plain,(
% 0.11/0.51 ![X0,X1]: (unequally_directed_lines(sK0_skl,X0)|unequally_directed_lines(X0,X1)|unequally_directed_lines(sK0_skl,reverse_line(X1)))),
% 0.11/0.51 inference(resolution,[status(thm)],[f374,f376])).
% 0.11/0.51 fof(f501,plain,(
% 0.11/0.51 ![X0]: (unequally_directed_lines(reverse_line(X0),X0)|~unequally_directed_lines(sK0_skl,X0)|left_convergent_lines(sK0_skl,reverse_line(X0)))),
% 0.11/0.51 inference(resolution,[status(thm)],[f411,f299])).
% 0.11/0.51 fof(f534,plain,(
% 0.11/0.51 ![X0]: (unequally_directed_lines(reverse_line(X0),X0)|~unequally_directed_lines(sK0_skl,X0))),
% 0.11/0.51 inference(forward_subsumption_resolution,[status(thm)],[f501,f98])).
% 0.11/0.51 fof(f549,plain,(
% 0.11/0.51 ![X0,X1]: (~unequally_directed_lines(sK0_skl,X0)|unequally_directed_lines(reverse_line(X0),X1)|unequally_directed_lines(X0,X1))),
% 0.11/0.51 inference(resolution,[status(thm)],[f534,f81])).
% 0.11/0.51 fof(f631,plain,(
% 0.11/0.51 ![X0]: (~unequally_directed_lines(sK0_skl,X0)|unequally_directed_lines(X0,reverse_line(X0)))),
% 0.11/0.51 inference(resolution,[status(thm)],[f549,f78])).
% 0.11/0.51 fof(f1162,plain,(
% 0.11/0.51 ![X0]: (~unequally_directed_lines(sK0_skl,line_connecting(X0,X0)))),
% 0.11/0.51 inference(resolution,[status(thm)],[f631,f116])).
% 0.11/0.51 fof(f1169,plain,(
% 0.11/0.51 ![X0,X1]: (unequally_directed_lines(line_connecting(X0,X0),X1)|unequally_directed_lines(sK0_skl,reverse_line(X1)))),
% 0.11/0.51 inference(resolution,[status(thm)],[f1162,f411])).
% 0.11/0.51 fof(f1172,plain,(
% 0.11/0.51 ![X0]: (unequally_directed_lines(sK0_skl,sK0_skl)|unequally_directed_lines(sK0_skl,reverse_line(line_connecting(X0,X0))))),
% 0.11/0.51 inference(resolution,[status(thm)],[f1162,f411])).
% 0.11/0.51 fof(f1175,plain,(
% 0.11/0.51 ![X0]: (unequally_directed_lines(sK0_skl,reverse_line(line_connecting(X0,X0))))),
% 0.11/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1172,f78])).
% 0.11/0.51 fof(f1286,plain,(
% 0.11/0.51 ![X0]: (unequally_directed_lines(sK0_skl,reverse_line(reverse_line(line_connecting(X0,X0)))))),
% 0.11/0.51 inference(resolution,[status(thm)],[f1169,f116])).
% 0.11/0.51 fof(f1306,plain,(
% 0.11/0.51 ![X0]: (~unequally_directed_lines(sK0_skl,reverse_line(line_connecting(X0,X0)))|left_convergent_lines(sK0_skl,reverse_line(reverse_line(line_connecting(X0,X0)))))),
% 0.11/0.51 inference(resolution,[status(thm)],[f1286,f299])).
% 0.11/0.51 fof(f1312,plain,(
% 0.11/0.51 ![X0]: (left_convergent_lines(sK0_skl,reverse_line(reverse_line(line_connecting(X0,X0)))))),
% 0.11/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1306,f1175])).
% 0.11/0.51 fof(f1324,plain,(
% 0.11/0.51 $false),
% 0.11/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1312,f98])).
% 0.11/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.53 % Elapsed time: 0.145920 seconds
% 0.11/0.53 % CPU time: 0.966929 seconds
% 0.11/0.53 % Total memory used: 32.253 MB
% 0.11/0.53 % Net memory used: 30.152 MB
%------------------------------------------------------------------------------