TSTP Solution File: GEO085+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO085+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:17:03 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GEO085+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:49:28 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f6,axiom,(
% 0.13/0.38 (! [C] :( closed(C)<=> ~ (? [P] : end_point(P,C) )) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,axiom,(
% 0.13/0.38 (! [C] :( open(C)<=> (? [P] : end_point(P,C) )) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f13,axiom,(
% 0.13/0.38 (! [C,P] :( end_point(P,C)=> (? [Q] :( end_point(Q,C)& P != Q ) )) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f17,conjecture,(
% 0.13/0.38 (! [C] :( open(C)=> (? [P,Q] :( P != Q& end_point(P,C)& end_point(Q,C) ) )) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f18,negated_conjecture,(
% 0.13/0.38 ~((! [C] :( open(C)=> (? [P,Q] :( P != Q& end_point(P,C)& end_point(Q,C) ) )) ))),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f17])).
% 0.13/0.38 fof(f63,plain,(
% 0.13/0.38 ![C]: (closed(C)<=>(![P]: ~end_point(P,C)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.13/0.38 fof(f64,plain,(
% 0.13/0.38 ![C]: ((~closed(C)|(![P]: ~end_point(P,C)))&(closed(C)|(?[P]: end_point(P,C))))),
% 0.13/0.38 inference(NNF_transformation,[status(esa)],[f63])).
% 0.13/0.38 fof(f65,plain,(
% 0.13/0.38 (![C]: (~closed(C)|(![P]: ~end_point(P,C))))&(![C]: (closed(C)|(?[P]: end_point(P,C))))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f64])).
% 0.13/0.38 fof(f66,plain,(
% 0.13/0.38 (![C]: (~closed(C)|(![P]: ~end_point(P,C))))&(![C]: (closed(C)|end_point(sk0_5(C),C)))),
% 0.13/0.38 inference(skolemization,[status(esa)],[f65])).
% 0.13/0.38 fof(f67,plain,(
% 0.13/0.38 ![X0,X1]: (~closed(X0)|~end_point(X1,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f66])).
% 0.13/0.38 fof(f68,plain,(
% 0.13/0.38 ![X0]: (closed(X0)|end_point(sk0_5(X0),X0))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f66])).
% 0.13/0.38 fof(f69,plain,(
% 0.13/0.38 ![C]: ((~open(C)|(?[P]: end_point(P,C)))&(open(C)|(![P]: ~end_point(P,C))))),
% 0.13/0.38 inference(NNF_transformation,[status(esa)],[f7])).
% 0.13/0.38 fof(f70,plain,(
% 0.13/0.38 (![C]: (~open(C)|(?[P]: end_point(P,C))))&(![C]: (open(C)|(![P]: ~end_point(P,C))))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f69])).
% 0.13/0.38 fof(f71,plain,(
% 0.13/0.38 (![C]: (~open(C)|end_point(sk0_6(C),C)))&(![C]: (open(C)|(![P]: ~end_point(P,C))))),
% 0.13/0.38 inference(skolemization,[status(esa)],[f70])).
% 0.13/0.38 fof(f72,plain,(
% 0.13/0.38 ![X0]: (~open(X0)|end_point(sk0_6(X0),X0))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f71])).
% 0.13/0.38 fof(f73,plain,(
% 0.13/0.38 ![X0,X1]: (open(X0)|~end_point(X1,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f71])).
% 0.13/0.38 fof(f89,plain,(
% 0.13/0.38 ![C,P]: (~end_point(P,C)|(?[Q]: (end_point(Q,C)&~P=Q)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.13/0.38 fof(f90,plain,(
% 0.13/0.38 ![C,P]: (~end_point(P,C)|(end_point(sk0_10(P,C),C)&~P=sk0_10(P,C)))),
% 0.13/0.38 inference(skolemization,[status(esa)],[f89])).
% 0.13/0.38 fof(f91,plain,(
% 0.13/0.38 ![X0,X1]: (~end_point(X0,X1)|end_point(sk0_10(X0,X1),X1))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f90])).
% 0.13/0.38 fof(f92,plain,(
% 0.13/0.38 ![X0,X1]: (~end_point(X0,X1)|~X0=sk0_10(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f90])).
% 0.13/0.38 fof(f104,plain,(
% 0.13/0.38 (?[C]: (open(C)&(![P,Q]: ((P=Q|~end_point(P,C))|~end_point(Q,C)))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.13/0.38 fof(f105,plain,(
% 0.13/0.38 ?[C]: (open(C)&(![Q]: ((![P]: (P=Q|~end_point(P,C)))|~end_point(Q,C))))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f104])).
% 0.13/0.38 fof(f106,plain,(
% 0.13/0.38 (open(sk0_13)&(![Q]: ((![P]: (P=Q|~end_point(P,sk0_13)))|~end_point(Q,sk0_13))))),
% 0.13/0.38 inference(skolemization,[status(esa)],[f105])).
% 0.13/0.38 fof(f107,plain,(
% 0.13/0.38 open(sk0_13)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f106])).
% 0.13/0.38 fof(f108,plain,(
% 0.13/0.38 ![X0,X1]: (X0=X1|~end_point(X0,sk0_13)|~end_point(X1,sk0_13))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f106])).
% 0.13/0.38 fof(f110,plain,(
% 0.13/0.38 spl0_0 <=> closed(sk0_13)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f111,plain,(
% 0.13/0.38 closed(sk0_13)|~spl0_0),
% 0.13/0.38 inference(component_clause,[status(thm)],[f110])).
% 0.13/0.38 fof(f113,plain,(
% 0.13/0.38 spl0_1 <=> X0=sk0_5(sk0_13)|~end_point(X0,sk0_13)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f114,plain,(
% 0.13/0.38 ![X0]: (X0=sk0_5(sk0_13)|~end_point(X0,sk0_13)|~spl0_1)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f113])).
% 0.13/0.38 fof(f116,plain,(
% 0.13/0.38 ![X0]: (closed(sk0_13)|X0=sk0_5(sk0_13)|~end_point(X0,sk0_13))),
% 0.13/0.38 inference(resolution,[status(thm)],[f68,f108])).
% 0.13/0.38 fof(f117,plain,(
% 0.13/0.38 spl0_0|spl0_1),
% 0.13/0.38 inference(split_clause,[status(thm)],[f116,f110,f113])).
% 0.13/0.38 fof(f123,plain,(
% 0.13/0.38 ![X0]: (closed(X0)|open(X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f68,f73])).
% 0.13/0.38 fof(f124,plain,(
% 0.13/0.38 end_point(sk0_6(sk0_13),sk0_13)),
% 0.13/0.38 inference(resolution,[status(thm)],[f72,f107])).
% 0.13/0.38 fof(f125,plain,(
% 0.13/0.38 ![X0]: (end_point(sk0_6(X0),X0)|closed(X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f72,f123])).
% 0.13/0.38 fof(f126,plain,(
% 0.13/0.38 ![X0]: (X0=sk0_6(sk0_13)|~end_point(X0,sk0_13))),
% 0.13/0.38 inference(resolution,[status(thm)],[f124,f108])).
% 0.13/0.38 fof(f130,plain,(
% 0.13/0.38 spl0_3 <=> sk0_6(sk0_13)=sk0_5(sk0_13)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f131,plain,(
% 0.13/0.38 sk0_6(sk0_13)=sk0_5(sk0_13)|~spl0_3),
% 0.13/0.38 inference(component_clause,[status(thm)],[f130])).
% 0.13/0.38 fof(f169,plain,(
% 0.13/0.38 sk0_5(sk0_13)=sk0_6(sk0_13)|closed(sk0_13)),
% 0.13/0.38 inference(resolution,[status(thm)],[f126,f68])).
% 0.13/0.38 fof(f170,plain,(
% 0.13/0.38 spl0_3|spl0_0),
% 0.13/0.38 inference(split_clause,[status(thm)],[f169,f130,f110])).
% 0.13/0.38 fof(f192,plain,(
% 0.13/0.38 ![X0]: (~end_point(X0,sk0_13)|~spl0_0)),
% 0.13/0.38 inference(resolution,[status(thm)],[f111,f67])).
% 0.13/0.38 fof(f205,plain,(
% 0.13/0.38 spl0_9 <=> end_point(sk0_5(sk0_13),sk0_13)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f206,plain,(
% 0.13/0.38 end_point(sk0_5(sk0_13),sk0_13)|~spl0_9),
% 0.13/0.38 inference(component_clause,[status(thm)],[f205])).
% 0.13/0.38 fof(f208,plain,(
% 0.13/0.38 end_point(sk0_5(sk0_13),sk0_13)|closed(sk0_13)|~spl0_3),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f131,f125])).
% 0.13/0.38 fof(f209,plain,(
% 0.13/0.38 spl0_9|spl0_0|~spl0_3),
% 0.13/0.38 inference(split_clause,[status(thm)],[f208,f205,f110,f130])).
% 0.13/0.38 fof(f210,plain,(
% 0.13/0.38 $false|~spl0_0),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f124,f192])).
% 0.13/0.38 fof(f211,plain,(
% 0.13/0.38 ~spl0_0),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f210])).
% 0.13/0.38 fof(f223,plain,(
% 0.13/0.38 end_point(sk0_10(sk0_5(sk0_13),sk0_13),sk0_13)|~spl0_9),
% 0.13/0.38 inference(resolution,[status(thm)],[f206,f91])).
% 0.13/0.38 fof(f224,plain,(
% 0.13/0.38 ~sk0_5(sk0_13)=sk0_10(sk0_5(sk0_13),sk0_13)|~spl0_9),
% 0.13/0.38 inference(resolution,[status(thm)],[f206,f92])).
% 0.13/0.38 fof(f243,plain,(
% 0.13/0.38 sk0_10(sk0_5(sk0_13),sk0_13)=sk0_5(sk0_13)|~spl0_9|~spl0_1),
% 0.13/0.38 inference(resolution,[status(thm)],[f223,f114])).
% 0.13/0.38 fof(f244,plain,(
% 0.13/0.38 $false|~spl0_9|~spl0_1),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f243,f224])).
% 0.13/0.38 fof(f245,plain,(
% 0.13/0.38 ~spl0_9|~spl0_1),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f244])).
% 0.13/0.38 fof(f246,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f117,f170,f209,f211,f245])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.023540 seconds
% 0.13/0.39 % CPU time: 0.055589 seconds
% 0.13/0.39 % Total memory used: 13.474 MB
% 0.13/0.39 % Net memory used: 13.423 MB
%------------------------------------------------------------------------------