TSTP Solution File: CSR086+4 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CSR086+4 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:15:01 EDT 2024
% Result : Theorem 198.46s 25.51s
% Output : CNFRefutation 199.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR086+4 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:49:36 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.55 % Drodi V3.6.0
% 198.46/25.51 % Refutation found
% 198.46/25.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 198.46/25.51 % SZS output start CNFRefutation for theBenchmark
% 198.46/25.51 fof(f26,axiom,(
% 198.46/25.51 (! [V__X,V__Y] :( s__subclass(V__X,V__Y)=> ( s__instance(V__X,s__SetOrClass)& s__instance(V__Y,s__SetOrClass) ) ) )),
% 198.46/25.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 198.46/25.51 fof(f27,axiom,(
% 198.46/25.51 (! [V__X,V__Y,V__Z] :( ( s__instance(V__Y,s__SetOrClass)& s__instance(V__X,s__SetOrClass) )=> ( ( s__subclass(V__X,V__Y)& s__instance(V__Z,V__X) )=> s__instance(V__Z,V__Y) ) ) )),
% 198.46/25.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 198.46/25.51 fof(f3587,axiom,(
% 198.46/25.51 s__subclass(s__GraphLoop,s__GraphArc) ),
% 198.46/25.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 198.46/25.51 fof(f3590,axiom,(
% 198.46/25.51 (! [V__LOOP] :( s__instance(V__LOOP,s__GraphArc)=> ( s__instance(V__LOOP,s__GraphLoop)<=> (? [V__NODE] :( s__instance(V__NODE,s__GraphNode)& s__links(V__NODE,V__NODE,V__LOOP) ) )) ) )),
% 198.46/25.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 198.46/25.51 fof(f7218,axiom,(
% 198.46/25.51 s__instance(s__Arc13_1,s__GraphLoop) ),
% 198.46/25.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 198.46/25.51 fof(f7219,conjecture,(
% 198.46/25.51 (? [V_NODE] : s__links(V_NODE,V_NODE,s__Arc13_1) )),
% 198.46/25.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 198.46/25.51 fof(f7220,negated_conjecture,(
% 198.46/25.51 ~((? [V_NODE] : s__links(V_NODE,V_NODE,s__Arc13_1) ))),
% 198.46/25.51 inference(negated_conjecture,[status(cth)],[f7219])).
% 198.46/25.51 fof(f7260,plain,(
% 198.46/25.51 ![V__X,V__Y]: (~s__subclass(V__X,V__Y)|(s__instance(V__X,s__SetOrClass)&s__instance(V__Y,s__SetOrClass)))),
% 198.46/25.51 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 198.46/25.51 fof(f7261,plain,(
% 198.46/25.51 ![X0,X1]: (~s__subclass(X0,X1)|s__instance(X0,s__SetOrClass))),
% 198.46/25.51 inference(cnf_transformation,[status(esa)],[f7260])).
% 198.46/25.51 fof(f7262,plain,(
% 198.46/25.51 ![X0,X1]: (~s__subclass(X0,X1)|s__instance(X1,s__SetOrClass))),
% 198.46/25.51 inference(cnf_transformation,[status(esa)],[f7260])).
% 198.46/25.51 fof(f7263,plain,(
% 198.46/25.51 ![V__X,V__Y,V__Z]: ((~s__instance(V__Y,s__SetOrClass)|~s__instance(V__X,s__SetOrClass))|((~s__subclass(V__X,V__Y)|~s__instance(V__Z,V__X))|s__instance(V__Z,V__Y)))),
% 198.46/25.51 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 198.46/25.51 fof(f7264,plain,(
% 198.46/25.51 ![V__X,V__Y]: ((~s__instance(V__Y,s__SetOrClass)|~s__instance(V__X,s__SetOrClass))|(![V__Z]: ((~s__subclass(V__X,V__Y)|~s__instance(V__Z,V__X))|s__instance(V__Z,V__Y))))),
% 198.46/25.51 inference(miniscoping,[status(esa)],[f7263])).
% 198.46/25.51 fof(f7265,plain,(
% 198.46/25.51 ![X0,X1,X2]: (~s__instance(X0,s__SetOrClass)|~s__instance(X1,s__SetOrClass)|~s__subclass(X1,X0)|~s__instance(X2,X1)|s__instance(X2,X0))),
% 198.46/25.51 inference(cnf_transformation,[status(esa)],[f7264])).
% 198.46/25.51 fof(f13800,plain,(
% 198.46/25.51 s__subclass(s__GraphLoop,s__GraphArc)),
% 198.46/25.51 inference(cnf_transformation,[status(esa)],[f3587])).
% 198.46/25.51 fof(f13803,plain,(
% 198.46/25.51 ![V__LOOP]: (~s__instance(V__LOOP,s__GraphArc)|(s__instance(V__LOOP,s__GraphLoop)<=>(?[V__NODE]: (s__instance(V__NODE,s__GraphNode)&s__links(V__NODE,V__NODE,V__LOOP)))))),
% 198.46/25.51 inference(pre_NNF_transformation,[status(esa)],[f3590])).
% 198.46/25.51 fof(f13804,plain,(
% 198.46/25.51 ![V__LOOP]: (~s__instance(V__LOOP,s__GraphArc)|((~s__instance(V__LOOP,s__GraphLoop)|(?[V__NODE]: (s__instance(V__NODE,s__GraphNode)&s__links(V__NODE,V__NODE,V__LOOP))))&(s__instance(V__LOOP,s__GraphLoop)|(![V__NODE]: (~s__instance(V__NODE,s__GraphNode)|~s__links(V__NODE,V__NODE,V__LOOP))))))),
% 198.46/25.51 inference(NNF_transformation,[status(esa)],[f13803])).
% 198.46/25.51 fof(f13805,plain,(
% 198.46/25.51 ![V__LOOP]: (~s__instance(V__LOOP,s__GraphArc)|((~s__instance(V__LOOP,s__GraphLoop)|(s__instance(sk0_183(V__LOOP),s__GraphNode)&s__links(sk0_183(V__LOOP),sk0_183(V__LOOP),V__LOOP)))&(s__instance(V__LOOP,s__GraphLoop)|(![V__NODE]: (~s__instance(V__NODE,s__GraphNode)|~s__links(V__NODE,V__NODE,V__LOOP))))))),
% 198.46/25.51 inference(skolemization,[status(esa)],[f13804])).
% 198.46/25.51 fof(f13807,plain,(
% 198.46/25.51 ![X0]: (~s__instance(X0,s__GraphArc)|~s__instance(X0,s__GraphLoop)|s__links(sk0_183(X0),sk0_183(X0),X0))),
% 198.46/25.51 inference(cnf_transformation,[status(esa)],[f13805])).
% 198.46/25.51 fof(f19220,plain,(
% 198.46/25.51 s__instance(s__Arc13_1,s__GraphLoop)),
% 198.46/25.51 inference(cnf_transformation,[status(esa)],[f7218])).
% 198.46/25.51 fof(f19221,plain,(
% 198.46/25.51 (![V_NODE]: ~s__links(V_NODE,V_NODE,s__Arc13_1))),
% 198.46/25.51 inference(pre_NNF_transformation,[status(esa)],[f7220])).
% 199.39/25.63 fof(f19222,plain,(
% 199.39/25.63 ![X0]: (~s__links(X0,X0,s__Arc13_1))),
% 199.39/25.63 inference(cnf_transformation,[status(esa)],[f19221])).
% 199.39/25.63 fof(f19543,plain,(
% 199.39/25.63 ![X0,X1,X2]: (~s__instance(X0,s__SetOrClass)|~s__subclass(X0,X1)|~s__instance(X2,X0)|s__instance(X2,X1))),
% 199.39/25.63 inference(forward_subsumption_resolution,[status(thm)],[f7265,f7262])).
% 199.39/25.63 fof(f34295,plain,(
% 199.39/25.63 spl0_1994 <=> s__instance(s__GraphLoop,s__SetOrClass)),
% 199.39/25.63 introduced(split_symbol_definition)).
% 199.39/25.63 fof(f34297,plain,(
% 199.39/25.63 ~s__instance(s__GraphLoop,s__SetOrClass)|spl0_1994),
% 199.39/25.63 inference(component_clause,[status(thm)],[f34295])).
% 199.39/25.63 fof(f34303,plain,(
% 199.39/25.63 spl0_1996 <=> ~s__instance(X0,s__GraphLoop)|s__instance(X0,s__GraphArc)),
% 199.39/25.63 introduced(split_symbol_definition)).
% 199.39/25.63 fof(f34304,plain,(
% 199.39/25.63 ![X0]: (~s__instance(X0,s__GraphLoop)|s__instance(X0,s__GraphArc)|~spl0_1996)),
% 199.39/25.63 inference(component_clause,[status(thm)],[f34303])).
% 199.39/25.63 fof(f34306,plain,(
% 199.39/25.63 ![X0]: (~s__instance(s__GraphLoop,s__SetOrClass)|~s__instance(X0,s__GraphLoop)|s__instance(X0,s__GraphArc))),
% 199.39/25.63 inference(resolution,[status(thm)],[f13800,f19543])).
% 199.39/25.63 fof(f34307,plain,(
% 199.39/25.63 ~spl0_1994|spl0_1996),
% 199.39/25.63 inference(split_clause,[status(thm)],[f34306,f34295,f34303])).
% 199.39/25.63 fof(f34309,plain,(
% 199.39/25.63 s__instance(s__GraphLoop,s__SetOrClass)),
% 199.39/25.63 inference(resolution,[status(thm)],[f13800,f7261])).
% 199.39/25.63 fof(f34310,plain,(
% 199.39/25.63 $false|spl0_1994),
% 199.39/25.63 inference(forward_subsumption_resolution,[status(thm)],[f34297,f34309])).
% 199.39/25.63 fof(f34311,plain,(
% 199.39/25.63 spl0_1994),
% 199.39/25.63 inference(contradiction_clause,[status(thm)],[f34310])).
% 199.39/25.63 fof(f34316,plain,(
% 199.39/25.63 ![X0]: (~s__instance(X0,s__GraphLoop)|s__links(sk0_183(X0),sk0_183(X0),X0)|~spl0_1996)),
% 199.39/25.63 inference(forward_subsumption_resolution,[status(thm)],[f13807,f34304])).
% 199.39/25.63 fof(f34445,plain,(
% 199.39/25.63 s__links(sk0_183(s__Arc13_1),sk0_183(s__Arc13_1),s__Arc13_1)|~spl0_1996),
% 199.39/25.63 inference(resolution,[status(thm)],[f34316,f19220])).
% 199.39/25.63 fof(f34446,plain,(
% 199.39/25.63 $false|~spl0_1996),
% 199.39/25.63 inference(forward_subsumption_resolution,[status(thm)],[f34445,f19222])).
% 199.39/25.63 fof(f34447,plain,(
% 199.39/25.63 ~spl0_1996),
% 199.39/25.63 inference(contradiction_clause,[status(thm)],[f34446])).
% 199.39/25.63 fof(f34448,plain,(
% 199.39/25.63 $false),
% 199.39/25.63 inference(sat_refutation,[status(thm)],[f34307,f34311,f34447])).
% 199.39/25.63 % SZS output end CNFRefutation for theBenchmark.p
% 200.65/25.93 % Elapsed time: 25.558245 seconds
% 200.65/25.93 % CPU time: 200.039367 seconds
% 200.65/25.93 % Total memory used: 865.371 MB
% 200.65/25.93 % Net memory used: 854.393 MB
%------------------------------------------------------------------------------