TSTP Solution File: GEO044-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO044-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 : Wed May 31 12:07:33 EDT 2023
% Result : Unsatisfiable 87.57s 11.38s
% Output : CNFRefutation 87.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO044-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n001.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 : Tue May 30 12:30:00 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.5.1
% 87.57/11.38 % Refutation found
% 87.57/11.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 87.57/11.38 % SZS output start CNFRefutation for theBenchmark
% 87.57/11.38 fof(f4,axiom,(
% 87.57/11.38 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 87.57/11.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 87.57/11.38 fof(f5,axiom,(
% 87.57/11.38 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 87.57/11.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 87.57/11.38 fof(f21,axiom,(
% 87.57/11.38 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(W,X,U,V) ) ))),
% 87.57/11.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 87.57/11.38 fof(f30,axiom,(
% 87.57/11.38 (![Y,U,V,W,X]: (( Y != extension(U,V,W,X)| between(U,V,Y) ) ))),
% 87.57/11.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 87.57/11.38 fof(f38,axiom,(
% 87.57/11.38 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,V,X)| ~ equidistant(V,W,V,X)| U = V| W = X ) ))),
% 87.57/11.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 87.57/11.38 fof(f53,axiom,(
% 87.57/11.38 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,W,X)| between(V,W,X) ) ))),
% 87.57/11.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 87.57/11.38 fof(f54,hypothesis,(
% 87.57/11.38 between(u,v,w) ),
% 87.57/11.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 87.57/11.38 fof(f55,hypothesis,(
% 87.57/11.38 between(v,w,x) ),
% 87.57/11.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 87.57/11.38 fof(f56,hypothesis,(
% 87.57/11.38 v != w ),
% 87.57/11.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 87.57/11.38 fof(f57,negated_conjecture,(
% 87.57/11.38 ~ between(u,w,x) ),
% 87.57/11.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 87.57/11.38 fof(f63,plain,(
% 87.57/11.38 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 87.57/11.38 inference(cnf_transformation,[status(esa)],[f4])).
% 87.57/11.38 fof(f64,plain,(
% 87.57/11.38 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 87.57/11.38 inference(cnf_transformation,[status(esa)],[f5])).
% 87.57/11.38 fof(f82,plain,(
% 87.57/11.38 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X0,X1))),
% 87.57/11.38 inference(cnf_transformation,[status(esa)],[f21])).
% 87.57/11.38 fof(f92,plain,(
% 87.57/11.38 ![Y,U,V]: ((![W,X]: ~Y=extension(U,V,W,X))|between(U,V,Y))),
% 87.57/11.38 inference(miniscoping,[status(esa)],[f30])).
% 87.57/11.38 fof(f93,plain,(
% 87.57/11.38 ![X0,X1,X2,X3,X4]: (~X0=extension(X1,X2,X3,X4)|between(X1,X2,X0))),
% 87.57/11.38 inference(cnf_transformation,[status(esa)],[f92])).
% 87.57/11.38 fof(f102,plain,(
% 87.57/11.38 ![W,X]: ((![U,V]: (((~between(U,V,W)|~between(U,V,X))|~equidistant(V,W,V,X))|U=V))|W=X)),
% 87.57/11.38 inference(miniscoping,[status(esa)],[f38])).
% 87.57/11.38 fof(f103,plain,(
% 87.57/11.38 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X1,X3)|~equidistant(X1,X2,X1,X3)|X0=X1|X2=X3)),
% 87.57/11.38 inference(cnf_transformation,[status(esa)],[f102])).
% 87.57/11.38 fof(f125,plain,(
% 87.57/11.38 ![V,W,X]: ((![U]: (~between(U,V,W)|~between(U,W,X)))|between(V,W,X))),
% 87.57/11.38 inference(miniscoping,[status(esa)],[f53])).
% 87.57/11.38 fof(f126,plain,(
% 87.57/11.38 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X2,X3)|between(X1,X2,X3))),
% 87.57/11.38 inference(cnf_transformation,[status(esa)],[f125])).
% 87.57/11.38 fof(f127,plain,(
% 87.57/11.38 between(u,v,w)),
% 87.57/11.38 inference(cnf_transformation,[status(esa)],[f54])).
% 87.57/11.38 fof(f128,plain,(
% 87.57/11.38 between(v,w,x)),
% 87.57/11.38 inference(cnf_transformation,[status(esa)],[f55])).
% 87.57/11.38 fof(f129,plain,(
% 87.57/11.38 ~v=w),
% 87.57/11.38 inference(cnf_transformation,[status(esa)],[f56])).
% 87.57/11.38 fof(f130,plain,(
% 87.57/11.38 ~between(u,w,x)),
% 87.57/11.38 inference(cnf_transformation,[status(esa)],[f57])).
% 87.57/11.38 fof(f144,plain,(
% 87.57/11.38 spl0_1 <=> w=v),
% 87.57/11.38 introduced(split_symbol_definition)).
% 87.57/11.38 fof(f145,plain,(
% 87.57/11.38 w=v|~spl0_1),
% 87.57/11.38 inference(component_clause,[status(thm)],[f144])).
% 87.57/11.38 fof(f195,plain,(
% 87.57/11.38 ![X0]: (~between(u,w,X0)|between(v,w,X0))),
% 87.57/11.38 inference(resolution,[status(thm)],[f126,f127])).
% 87.57/11.38 fof(f206,plain,(
% 87.57/11.38 ![X0,X1]: (between(v,w,extension(u,w,X0,X1)))),
% 87.57/11.38 inference(resolution,[status(thm)],[f63,f195])).
% 87.57/11.38 fof(f223,plain,(
% 87.57/11.38 $false|~spl0_1),
% 87.57/11.38 inference(forward_subsumption_resolution,[status(thm)],[f145,f129])).
% 87.57/11.38 fof(f224,plain,(
% 87.57/11.38 ~spl0_1),
% 87.57/11.38 inference(contradiction_clause,[status(thm)],[f223])).
% 87.57/11.38 fof(f433,plain,(
% 87.57/11.38 ![X0,X1,X2,X3]: (equidistant(X0,X1,X2,extension(X3,X2,X0,X1)))),
% 87.57/11.38 inference(resolution,[status(thm)],[f82,f64])).
% 87.57/11.38 fof(f2265,plain,(
% 87.57/11.38 spl0_53 <=> ~between(v,w,X0)|~equidistant(w,x,w,X0)|x=X0),
% 87.57/11.38 introduced(split_symbol_definition)).
% 87.57/11.38 fof(f2266,plain,(
% 87.57/11.38 ![X0]: (~between(v,w,X0)|~equidistant(w,x,w,X0)|x=X0|~spl0_53)),
% 87.57/11.38 inference(component_clause,[status(thm)],[f2265])).
% 87.57/11.38 fof(f2268,plain,(
% 87.57/11.38 ![X0]: (~between(v,w,X0)|~equidistant(w,x,w,X0)|v=w|x=X0)),
% 87.83/11.43 inference(resolution,[status(thm)],[f103,f128])).
% 87.83/11.43 fof(f2269,plain,(
% 87.83/11.43 spl0_53|spl0_1),
% 87.83/11.43 inference(split_clause,[status(thm)],[f2268,f2265,f144])).
% 87.83/11.43 fof(f3227,plain,(
% 87.83/11.43 ![X0]: (~between(v,w,extension(X0,w,w,x))|x=extension(X0,w,w,x)|~spl0_53)),
% 87.83/11.43 inference(resolution,[status(thm)],[f2266,f433])).
% 87.83/11.43 fof(f47968,plain,(
% 87.83/11.43 x=extension(u,w,w,x)|~spl0_53),
% 87.83/11.43 inference(resolution,[status(thm)],[f3227,f206])).
% 87.83/11.43 fof(f48016,plain,(
% 87.83/11.43 between(u,w,x)|~spl0_53),
% 87.83/11.43 inference(resolution,[status(thm)],[f47968,f93])).
% 87.83/11.43 fof(f48017,plain,(
% 87.83/11.43 $false|~spl0_53),
% 87.83/11.43 inference(forward_subsumption_resolution,[status(thm)],[f48016,f130])).
% 87.83/11.43 fof(f48018,plain,(
% 87.83/11.43 ~spl0_53),
% 87.83/11.43 inference(contradiction_clause,[status(thm)],[f48017])).
% 87.83/11.43 fof(f48019,plain,(
% 87.83/11.43 $false),
% 87.83/11.43 inference(sat_refutation,[status(thm)],[f224,f2269,f48018])).
% 87.83/11.43 % SZS output end CNFRefutation for theBenchmark.p
% 88.10/11.45 % Elapsed time: 11.094378 seconds
% 88.10/11.45 % CPU time: 88.075493 seconds
% 88.10/11.45 % Memory used: 353.211 MB
%------------------------------------------------------------------------------