%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO260+1 : TPTP v9.3.1. Bugfixed v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 0.17s 0.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO260+1 : TPTP v9.3.1. Bugfixed v8.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 14:59:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.17/0.67 % Refutation found
% 0.17/0.67 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.67 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.67 fof(f10,axiom,(
% 0.17/0.67 (! [L] : ~ unequally_directed_lines(L,L) )),
% 0.17/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.67 fof(f11,axiom,(
% 0.17/0.67 (! [L,M,N] :( unequally_directed_lines(L,M)=> ( unequally_directed_lines(L,N)| unequally_directed_lines(M,N) ) ) )),
% 0.17/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.67 fof(f13,axiom,(
% 0.17/0.67 (! [L,M] :( ( line(L)& line(M) )=> ( unequally_directed_lines(L,M)| unequally_directed_lines(L,reverse_line(M)) ) ) )),
% 0.17/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.67 fof(f14,axiom,(
% 0.17/0.67 (! [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)) ) ) )),
% 0.17/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.67 fof(f16,axiom,(
% 0.17/0.67 (! [L,M] :~ ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) )),
% 0.17/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.67 fof(f25,axiom,(
% 0.17/0.67 (! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) )),
% 0.17/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.67 fof(f32,conjecture,(
% 0.17/0.67 (! [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,A,C,B) ) ) )),
% 0.17/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.67 fof(f33,negated_conjecture,(
% 0.17/0.67 ~((! [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,A,C,B) ) ) ))),
% 0.17/0.67 inference(negated_conjecture,[status(cth)],[f32])).
% 0.17/0.67 fof(f78,plain,(
% 0.17/0.67 ![X0]: (~unequally_directed_lines(X0,X0))),
% 0.17/0.67 inference(cnf_transformation,[status(thm)],[f10])).
% 0.17/0.67 fof(f79,plain,(
% 0.17/0.67 ![L,M,N]: (~unequally_directed_lines(L,M)|(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))),
% 0.17/0.67 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.17/0.67 fof(f80,plain,(
% 0.17/0.67 ![L,M]: (~unequally_directed_lines(L,M)|(![N]: (unequally_directed_lines(L,N)|unequally_directed_lines(M,N))))),
% 0.17/0.67 inference(miniscoping,[status(thm)],[f79])).
% 0.17/0.67 fof(f81,plain,(
% 0.17/0.67 ![X0,X1,X2]: (~unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,X2)|unequally_directed_lines(X1,X2))),
% 0.17/0.67 inference(cnf_transformation,[status(thm)],[f80])).
% 0.17/0.67 fof(f88,plain,(
% 0.17/0.67 ![L,M]: ((~line(L)|~line(M))|(unequally_directed_lines(L,M)|unequally_directed_lines(L,reverse_line(M))))),
% 0.17/0.67 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.17/0.67 fof(f89,plain,(
% 0.17/0.67 ![X0,X1]: (~line(X0)|~line(X1)|unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,reverse_line(X1)))),
% 0.17/0.67 inference(cnf_transformation,[status(thm)],[f88])).
% 0.17/0.67 fof(f90,plain,(
% 0.17/0.67 ![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))))),
% 0.17/0.67 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.17/0.67 fof(f91,plain,(
% 0.17/0.67 ![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)))),
% 0.17/0.67 inference(cnf_transformation,[status(thm)],[f90])).
% 0.17/0.67 fof(f96,plain,(
% 0.17/0.67 ![L,M]: (~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M)))),
% 0.17/0.67 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.17/0.67 fof(f97,plain,(
% 0.17/0.67 (![L,M]: ~left_convergent_lines(L,M))&(![L,M]: ~left_convergent_lines(L,reverse_line(M)))),
% 0.17/0.67 inference(miniscoping,[status(thm)],[f96])).
% 0.17/0.67 fof(f98,plain,(
% 0.17/0.67 ![X0,X1]: (~left_convergent_lines(X0,X1))),
% 0.17/0.67 inference(cnf_transformation,[status(thm)],[f97])).
% 0.17/0.67 fof(f116,plain,(
% 0.17/0.67 ![X0,X1]: (~unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))))),
% 0.17/0.67 inference(cnf_transformation,[status(thm)],[f25])).
% 0.17/0.67 fof(f130,plain,(
% 0.17/0.67 (?[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,A,C,B))))),
% 0.17/0.67 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.17/0.67 fof(f131,plain,(
% 0.17/0.68 ((((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,sK1_skl,sK3_skl,sK2_skl)))),
% 0.17/0.68 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])).
% 0.17/0.68 fof(f132,plain,(
% 0.17/0.68 line(sK0_skl)),
% 0.17/0.68 inference(cnf_transformation,[status(thm)],[f131])).
% 0.17/0.68 fof(f342,plain,(
% 0.17/0.68 ![X0]: (~line(X0)|unequally_directed_lines(X0,sK0_skl)|unequally_directed_lines(X0,reverse_line(sK0_skl)))),
% 0.17/0.68 inference(resolution,[status(thm)],[f89,f132])).
% 0.17/0.68 fof(f345,plain,(
% 0.17/0.68 unequally_directed_lines(sK0_skl,sK0_skl)|unequally_directed_lines(sK0_skl,reverse_line(sK0_skl))),
% 0.17/0.68 inference(resolution,[status(thm)],[f342,f132])).
% 0.17/0.68 fof(f346,plain,(
% 0.17/0.68 unequally_directed_lines(sK0_skl,reverse_line(sK0_skl))),
% 0.17/0.68 inference(forward_subsumption_resolution,[status(thm)],[f345,f78])).
% 0.17/0.68 fof(f349,plain,(
% 0.17/0.68 ![X0]: (unequally_directed_lines(sK0_skl,X0)|unequally_directed_lines(reverse_line(sK0_skl),X0))),
% 0.17/0.68 inference(resolution,[status(thm)],[f346,f81])).
% 0.17/0.68 fof(f363,plain,(
% 0.17/0.68 ![X0,X1]: (unequally_directed_lines(sK0_skl,X0)|unequally_directed_lines(reverse_line(sK0_skl),X1)|unequally_directed_lines(X0,X1))),
% 0.17/0.68 inference(resolution,[status(thm)],[f349,f81])).
% 0.17/0.68 fof(f522,plain,(
% 0.17/0.68 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,reverse_line(X1)))),
% 0.17/0.68 inference(forward_subsumption_resolution,[status(thm)],[f91,f98])).
% 0.17/0.68 fof(f523,plain,(
% 0.17/0.68 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1)))),
% 0.17/0.68 inference(resolution,[status(thm)],[f522,f98])).
% 0.17/0.68 fof(f706,plain,(
% 0.17/0.68 ![X0]: (~unequally_directed_lines(reverse_line(sK0_skl),X0)|unequally_directed_lines(sK0_skl,reverse_line(X0)))),
% 0.17/0.68 inference(resolution,[status(thm)],[f523,f349])).
% 0.17/0.68 fof(f724,plain,(
% 0.17/0.68 ![X0,X1]: (unequally_directed_lines(sK0_skl,reverse_line(X0))|unequally_directed_lines(sK0_skl,X1)|unequally_directed_lines(X1,X0))),
% 0.17/0.68 inference(resolution,[status(thm)],[f706,f363])).
% 0.17/0.68 fof(f734,plain,(
% 0.17/0.68 ![X0]: (unequally_directed_lines(reverse_line(X0),X0)|~unequally_directed_lines(sK0_skl,X0))),
% 0.17/0.68 inference(resolution,[status(thm)],[f724,f523])).
% 0.17/0.68 fof(f753,plain,(
% 0.17/0.68 ![X0]: (unequally_directed_lines(sK0_skl,reverse_line(X0))|unequally_directed_lines(reverse_line(X0),X0))),
% 0.17/0.68 inference(factoring,[status(thm)],[f724])).
% 0.17/0.68 fof(f758,plain,(
% 0.17/0.68 ![X0]: (~unequally_directed_lines(sK0_skl,reverse_line(X0))|~unequally_directed_lines(reverse_line(reverse_line(X0)),X0))),
% 0.17/0.68 inference(resolution,[status(thm)],[f734,f523])).
% 0.17/0.68 fof(f760,plain,(
% 0.17/0.68 ![X0,X1]: (~unequally_directed_lines(sK0_skl,X0)|unequally_directed_lines(reverse_line(X0),X1)|unequally_directed_lines(X0,X1))),
% 0.17/0.68 inference(resolution,[status(thm)],[f734,f81])).
% 0.17/0.68 fof(f843,plain,(
% 0.17/0.68 ![X0]: (~unequally_directed_lines(sK0_skl,reverse_line(X0))|unequally_directed_lines(reverse_line(X0),X0)|~unequally_directed_lines(sK0_skl,reverse_line(X0)))),
% 0.17/0.68 inference(resolution,[status(thm)],[f760,f758])).
% 0.17/0.68 fof(f851,plain,(
% 0.17/0.68 ![X0]: (~unequally_directed_lines(sK0_skl,reverse_line(X0))|unequally_directed_lines(reverse_line(X0),X0))),
% 0.17/0.68 inference(duplicate_literals_removal,[status(thm)],[f843])).
% 0.17/0.68 fof(f852,plain,(
% 0.17/0.68 ![X0]: (unequally_directed_lines(reverse_line(X0),X0))),
% 0.17/0.68 inference(forward_subsumption_resolution,[status(thm)],[f851,f753])).
% 0.17/0.68 fof(f859,plain,(
% 0.17/0.68 ![X0,X1]: (unequally_directed_lines(reverse_line(X0),X1)|unequally_directed_lines(X0,X1))),
% 0.17/0.68 inference(resolution,[status(thm)],[f852,f81])).
% 0.17/0.68 fof(f899,plain,(
% 0.17/0.68 ![X0]: (unequally_directed_lines(X0,reverse_line(X0)))),
% 0.17/0.68 inference(resolution,[status(thm)],[f859,f78])).
% 0.17/0.68 fof(f902,plain,(
% 0.17/0.68 $false),
% 0.17/0.68 inference(resolution,[status(thm)],[f899,f116])).
% 0.17/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.70 % Elapsed time: 0.317696 seconds
% 0.17/0.70 % CPU time: 1.922762 seconds
% 0.17/0.70 % Total memory used: 36.013 MB
% 0.17/0.70 % Net memory used: 33.017 MB
%------------------------------------------------------------------------------