%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO233+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 : n008.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 12:26:12 PM UTC 2026
% Result : Theorem 0.11s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO233+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
% 0.11/0.37 % Computer : n008.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 14:13:53 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.42 % Refutation found
% 0.11/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.42 fof(f10,axiom,(
% 0.11/0.42 (! [L] : ~ unequally_directed_lines(L,L) )),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f11,axiom,(
% 0.11/0.42 (! [L,M,N] :( unequally_directed_lines(L,M)=> ( unequally_directed_lines(L,N)| unequally_directed_lines(M,N) ) ) )),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f14,axiom,(
% 0.11/0.42 (! [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)) ) ) )),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f16,axiom,(
% 0.11/0.42 (! [L,M] :~ ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) )),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f26,axiom,(
% 0.11/0.42 (! [A,L] : ~ unequally_directed_lines(parallel_through_point(L,A),L) )),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f32,conjecture,(
% 0.11/0.42 (! [L] : ~ unequally_directed_lines(reverse_line(reverse_line(L)),L) )),
% 0.11/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f33,negated_conjecture,(
% 0.11/0.42 ~((! [L] : ~ unequally_directed_lines(reverse_line(reverse_line(L)),L) ))),
% 0.11/0.42 inference(negated_conjecture,[status(cth)],[f32])).
% 0.11/0.42 fof(f78,plain,(
% 0.11/0.42 ![X0]: (~unequally_directed_lines(X0,X0))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.42 fof(f79,plain,(
% 0.11/0.42 ![L,M,N]: (~unequally_directed_lines(L,M)|(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))),
% 0.11/0.42 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.11/0.42 fof(f80,plain,(
% 0.11/0.42 ![L,M]: (~unequally_directed_lines(L,M)|(![N]: (unequally_directed_lines(L,N)|unequally_directed_lines(M,N))))),
% 0.11/0.42 inference(miniscoping,[status(thm)],[f79])).
% 0.11/0.42 fof(f81,plain,(
% 0.11/0.42 ![X0,X1,X2]: (~unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,X2)|unequally_directed_lines(X1,X2))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f80])).
% 0.11/0.42 fof(f90,plain,(
% 0.11/0.42 ![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))))),
% 0.11/0.42 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.11/0.42 fof(f91,plain,(
% 0.11/0.42 ![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)))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f90])).
% 0.11/0.42 fof(f96,plain,(
% 0.11/0.42 ![L,M]: (~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M)))),
% 0.11/0.42 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.11/0.42 fof(f97,plain,(
% 0.11/0.42 (![L,M]: ~left_convergent_lines(L,M))&(![L,M]: ~left_convergent_lines(L,reverse_line(M)))),
% 0.11/0.42 inference(miniscoping,[status(thm)],[f96])).
% 0.11/0.42 fof(f98,plain,(
% 0.11/0.42 ![X0,X1]: (~left_convergent_lines(X0,X1))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f97])).
% 0.11/0.42 fof(f117,plain,(
% 0.11/0.42 ![X0,X1]: (~unequally_directed_lines(parallel_through_point(X0,X1),X0))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f26])).
% 0.11/0.42 fof(f130,plain,(
% 0.11/0.42 (?[L]: unequally_directed_lines(reverse_line(reverse_line(L)),L))),
% 0.11/0.42 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.11/0.42 fof(f131,plain,(
% 0.11/0.42 unequally_directed_lines(reverse_line(reverse_line(sK0_skl)),sK0_skl)),
% 0.11/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(L,sK0_skl)],[f130])).
% 0.11/0.42 fof(f132,plain,(
% 0.11/0.42 unequally_directed_lines(reverse_line(reverse_line(sK0_skl)),sK0_skl)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f131])).
% 0.11/0.42 fof(f144,plain,(
% 0.11/0.42 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,X1))),
% 0.11/0.42 inference(backward_subsumption_resolution,[status(thm)],[f91,f98])).
% 0.11/0.42 fof(f149,plain,(
% 0.11/0.42 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1)))),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f144,f98])).
% 0.11/0.42 fof(f150,plain,(
% 0.11/0.42 ![X0]: (unequally_directed_lines(reverse_line(reverse_line(sK0_skl)),X0)|unequally_directed_lines(sK0_skl,X0))),
% 0.11/0.42 inference(resolution,[status(thm)],[f81,f132])).
% 0.11/0.43 fof(f151,plain,(
% 0.11/0.43 ![X0,X1]: (unequally_directed_lines(sK0_skl,X0)|unequally_directed_lines(reverse_line(reverse_line(sK0_skl)),X1)|unequally_directed_lines(X0,X1))),
% 0.11/0.43 inference(resolution,[status(thm)],[f150,f81])).
% 0.11/0.43 fof(f155,plain,(
% 0.11/0.43 ![X0,X1,X2]: (unequally_directed_lines(reverse_line(reverse_line(sK0_skl)),X0)|unequally_directed_lines(X1,X0)|unequally_directed_lines(sK0_skl,X2)|unequally_directed_lines(X1,X2))),
% 0.11/0.43 inference(resolution,[status(thm)],[f151,f81])).
% 0.11/0.43 fof(f161,plain,(
% 0.11/0.43 ![X0]: (unequally_directed_lines(sK0_skl,X0)|unequally_directed_lines(X0,reverse_line(reverse_line(sK0_skl))))),
% 0.11/0.43 inference(resolution,[status(thm)],[f151,f78])).
% 0.11/0.43 fof(f183,plain,(
% 0.11/0.43 ![X0,X1]: (unequally_directed_lines(X0,reverse_line(reverse_line(sK0_skl)))|unequally_directed_lines(sK0_skl,X1)|unequally_directed_lines(X0,X1))),
% 0.11/0.43 inference(resolution,[status(thm)],[f155,f78])).
% 0.11/0.43 fof(f208,plain,(
% 0.11/0.43 ![X0]: (unequally_directed_lines(X0,reverse_line(reverse_line(sK0_skl)))|unequally_directed_lines(X0,sK0_skl))),
% 0.11/0.43 inference(resolution,[status(thm)],[f183,f78])).
% 0.11/0.43 fof(f244,plain,(
% 0.11/0.43 ![X0]: (unequally_directed_lines(sK0_skl,parallel_through_point(reverse_line(reverse_line(sK0_skl)),X0)))),
% 0.11/0.43 inference(resolution,[status(thm)],[f117,f161])).
% 0.11/0.43 fof(f256,plain,(
% 0.11/0.43 ![X0,X1]: (unequally_directed_lines(sK0_skl,X0)|unequally_directed_lines(parallel_through_point(reverse_line(reverse_line(sK0_skl)),X1),X0))),
% 0.11/0.43 inference(resolution,[status(thm)],[f244,f81])).
% 0.11/0.43 fof(f349,plain,(
% 0.11/0.43 ![X0]: (~unequally_directed_lines(X0,reverse_line(sK0_skl))|unequally_directed_lines(X0,sK0_skl))),
% 0.11/0.43 inference(resolution,[status(thm)],[f149,f208])).
% 0.11/0.43 fof(f369,plain,(
% 0.11/0.43 ![X0]: (~unequally_directed_lines(X0,reverse_line(sK0_skl)))),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f349,f149])).
% 0.11/0.43 fof(f372,plain,(
% 0.11/0.43 unequally_directed_lines(sK0_skl,reverse_line(sK0_skl))),
% 0.11/0.43 inference(resolution,[status(thm)],[f369,f256])).
% 0.11/0.43 fof(f389,plain,(
% 0.11/0.43 $false),
% 0.11/0.43 inference(forward_subsumption_resolution,[status(thm)],[f372,f369])).
% 0.11/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.45 % Elapsed time: 0.062786 seconds
% 0.11/0.45 % CPU time: 0.214945 seconds
% 0.11/0.45 % Total memory used: 20.729 MB
% 0.11/0.45 % Net memory used: 20.225 MB
%------------------------------------------------------------------------------