%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO234+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 : n019.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 0.10s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO234+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
% 0.10/0.38 % Computer : n019.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 20 14:11:51 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.42 fof(f10,axiom,(
% 0.10/0.42 (! [L] : ~ unequally_directed_lines(L,L) )),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f11,axiom,(
% 0.10/0.42 (! [L,M,N] :( unequally_directed_lines(L,M)=> ( unequally_directed_lines(L,N)| unequally_directed_lines(M,N) ) ) )),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f14,axiom,(
% 0.10/0.42 (! [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)) ) ) )),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f16,axiom,(
% 0.10/0.42 (! [L,M] :~ ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) )),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f32,conjecture,(
% 0.10/0.42 (! [L,M,N] :( unequally_directed_lines(L,reverse_line(M))=> ( unequally_directed_lines(L,N)| unequally_directed_lines(M,reverse_line(N)) ) ) )),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f33,negated_conjecture,(
% 0.10/0.42 ~((! [L,M,N] :( unequally_directed_lines(L,reverse_line(M))=> ( unequally_directed_lines(L,N)| unequally_directed_lines(M,reverse_line(N)) ) ) ))),
% 0.10/0.42 inference(negated_conjecture,[status(cth)],[f32])).
% 0.10/0.42 fof(f78,plain,(
% 0.10/0.42 ![X0]: (~unequally_directed_lines(X0,X0))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.42 fof(f79,plain,(
% 0.10/0.42 ![L,M,N]: (~unequally_directed_lines(L,M)|(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))),
% 0.10/0.42 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.10/0.42 fof(f80,plain,(
% 0.10/0.42 ![L,M]: (~unequally_directed_lines(L,M)|(![N]: (unequally_directed_lines(L,N)|unequally_directed_lines(M,N))))),
% 0.10/0.42 inference(miniscoping,[status(thm)],[f79])).
% 0.10/0.42 fof(f81,plain,(
% 0.10/0.42 ![X0,X1,X2]: (~unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,X2)|unequally_directed_lines(X1,X2))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f80])).
% 0.10/0.42 fof(f90,plain,(
% 0.10/0.42 ![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))))),
% 0.10/0.42 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.10/0.42 fof(f91,plain,(
% 0.10/0.42 ![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)))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f90])).
% 0.10/0.42 fof(f96,plain,(
% 0.10/0.42 ![L,M]: (~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M)))),
% 0.10/0.42 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.10/0.42 fof(f97,plain,(
% 0.10/0.42 (![L,M]: ~left_convergent_lines(L,M))&(![L,M]: ~left_convergent_lines(L,reverse_line(M)))),
% 0.10/0.42 inference(miniscoping,[status(thm)],[f96])).
% 0.10/0.42 fof(f98,plain,(
% 0.10/0.42 ![X0,X1]: (~left_convergent_lines(X0,X1))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f97])).
% 0.10/0.42 fof(f130,plain,(
% 0.10/0.42 (?[L,M,N]: (unequally_directed_lines(L,reverse_line(M))&(~unequally_directed_lines(L,N)&~unequally_directed_lines(M,reverse_line(N)))))),
% 0.10/0.42 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.10/0.42 fof(f131,plain,(
% 0.10/0.42 ?[L,M]: (unequally_directed_lines(L,reverse_line(M))&(?[N]: (~unequally_directed_lines(L,N)&~unequally_directed_lines(M,reverse_line(N)))))),
% 0.10/0.42 inference(miniscoping,[status(thm)],[f130])).
% 0.10/0.42 fof(f132,plain,(
% 0.10/0.42 (unequally_directed_lines(sK0_skl,reverse_line(sK1_skl))&(~unequally_directed_lines(sK0_skl,sK2_skl)&~unequally_directed_lines(sK1_skl,reverse_line(sK2_skl))))),
% 0.10/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(L,sK0_skl),skolemize(M,sK1_skl),skolemize(N,sK2_skl)],[f131])).
% 0.10/0.42 fof(f133,plain,(
% 0.10/0.42 unequally_directed_lines(sK0_skl,reverse_line(sK1_skl))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f132])).
% 0.10/0.42 fof(f134,plain,(
% 0.10/0.42 ~unequally_directed_lines(sK0_skl,sK2_skl)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f132])).
% 0.10/0.42 fof(f135,plain,(
% 0.10/0.42 ~unequally_directed_lines(sK1_skl,reverse_line(sK2_skl))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f132])).
% 0.10/0.42 fof(f147,plain,(
% 0.10/0.42 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,X1))),
% 0.10/0.42 inference(backward_subsumption_resolution,[status(thm)],[f91,f98])).
% 0.10/0.42 fof(f152,plain,(
% 0.10/0.42 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1)))),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f147,f98])).
% 0.10/0.42 fof(f153,plain,(
% 0.10/0.42 ![X0]: (unequally_directed_lines(sK0_skl,X0)|unequally_directed_lines(reverse_line(sK1_skl),X0))),
% 0.10/0.42 inference(resolution,[status(thm)],[f81,f133])).
% 0.10/0.42 fof(f154,plain,(
% 0.10/0.42 ![X0,X1]: (unequally_directed_lines(sK0_skl,X0)|unequally_directed_lines(reverse_line(sK1_skl),X1)|unequally_directed_lines(X0,X1))),
% 0.10/0.42 inference(resolution,[status(thm)],[f153,f81])).
% 0.10/0.42 fof(f165,plain,(
% 0.10/0.42 unequally_directed_lines(sK0_skl,sK1_skl)|unequally_directed_lines(reverse_line(sK1_skl),reverse_line(sK2_skl))),
% 0.10/0.42 inference(resolution,[status(thm)],[f154,f135])).
% 0.10/0.42 fof(f166,plain,(
% 0.10/0.42 unequally_directed_lines(sK0_skl,sK0_skl)|unequally_directed_lines(reverse_line(sK1_skl),sK2_skl)),
% 0.10/0.42 inference(resolution,[status(thm)],[f154,f134])).
% 0.10/0.42 fof(f183,definition,(
% 0.10/0.42 sQ4_spl <=> (unequally_directed_lines(sK0_skl,sK1_skl))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f184,plain,(
% 0.10/0.42 unequally_directed_lines(sK0_skl,sK1_skl)|~sQ4_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f183])).
% 0.10/0.42 fof(f186,definition,(
% 0.10/0.42 sQ5_spl <=> (unequally_directed_lines(reverse_line(sK1_skl),reverse_line(sK2_skl)))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f187,plain,(
% 0.10/0.42 unequally_directed_lines(reverse_line(sK1_skl),reverse_line(sK2_skl))|~sQ5_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f186])).
% 0.10/0.42 fof(f189,plain,(
% 0.10/0.42 sQ4_spl|sQ5_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f165,f183,f186])).
% 0.10/0.42 fof(f190,definition,(
% 0.10/0.42 sQ6_spl <=> (unequally_directed_lines(sK0_skl,sK0_skl))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f191,plain,(
% 0.10/0.42 unequally_directed_lines(sK0_skl,sK0_skl)|~sQ6_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f190])).
% 0.10/0.42 fof(f193,definition,(
% 0.10/0.42 sQ7_spl <=> (unequally_directed_lines(reverse_line(sK1_skl),sK2_skl))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f194,plain,(
% 0.10/0.42 unequally_directed_lines(reverse_line(sK1_skl),sK2_skl)|~sQ7_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f193])).
% 0.10/0.42 fof(f196,plain,(
% 0.10/0.42 sQ6_spl|sQ7_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f166,f190,f193])).
% 0.10/0.42 fof(f197,plain,(
% 0.10/0.42 $false|~sQ6_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f191,f78])).
% 0.10/0.42 fof(f198,plain,(
% 0.10/0.42 ~sQ6_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f197])).
% 0.10/0.42 fof(f318,plain,(
% 0.10/0.42 ~unequally_directed_lines(sK0_skl,sK1_skl)),
% 0.10/0.42 inference(resolution,[status(thm)],[f152,f133])).
% 0.10/0.42 fof(f325,plain,(
% 0.10/0.42 ~unequally_directed_lines(reverse_line(sK1_skl),sK2_skl)|~sQ5_spl),
% 0.10/0.42 inference(resolution,[status(thm)],[f152,f187])).
% 0.10/0.42 fof(f340,plain,(
% 0.10/0.42 $false|~sQ7_spl|~sQ5_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f325,f194])).
% 0.10/0.42 fof(f341,plain,(
% 0.10/0.42 ~sQ7_spl|~sQ5_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f340])).
% 0.10/0.42 fof(f347,plain,(
% 0.10/0.42 $false|~sQ4_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f184,f318])).
% 0.10/0.42 fof(f348,plain,(
% 0.10/0.42 ~sQ4_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f347])).
% 0.10/0.42 fof(f349,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(sat_refutation,[status(thm)],[f189,f196,f198,f341,f348])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.055403 seconds
% 0.10/0.44 % CPU time: 0.186396 seconds
% 0.10/0.44 % Total memory used: 20.251 MB
% 0.10/0.44 % Net memory used: 19.964 MB
%------------------------------------------------------------------------------