TSTP Solution File: GEO053-2 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO053-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:07:35 EDT 2023
% Result : Unsatisfiable 128.25s 16.41s
% Output : CNFRefutation 128.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO053-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.26 % Computer : n003.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Tue May 30 12:06:08 EDT 2023
% 0.08/0.26 % CPUTime :
% 0.08/0.26 % Drodi V3.5.1
% 128.25/16.41 % Refutation found
% 128.25/16.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 128.25/16.41 % SZS output start CNFRefutation for theBenchmark
% 128.25/16.41 fof(f1,axiom,(
% 128.25/16.41 (![X,Y]: (equidistant(X,Y,Y,X) ))),
% 128.25/16.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 128.25/16.41 fof(f2,axiom,(
% 128.25/16.41 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 128.25/16.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 128.25/16.41 fof(f3,axiom,(
% 128.25/16.41 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 128.25/16.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 128.25/16.41 fof(f4,axiom,(
% 128.25/16.41 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 128.25/16.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 128.25/16.41 fof(f5,axiom,(
% 128.25/16.41 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 128.25/16.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 128.25/16.41 fof(f6,axiom,(
% 128.25/16.41 (![X,Y,X1,Y1,Z,Z1,V,V1]: (( ~ equidistant(X,Y,X1,Y1)| ~ equidistant(Y,Z,Y1,Z1)| ~ equidistant(X,V,X1,V1)| ~ equidistant(Y,V,Y1,V1)| ~ between(X,Y,Z)| ~ between(X1,Y1,Z1)| X = Y| equidistant(Z,V,Z1,V1) ) ))),
% 128.25/16.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 128.25/16.41 fof(f7,axiom,(
% 128.25/16.41 (![X,Y]: (( ~ between(X,Y,X)| X = Y ) ))),
% 128.25/16.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 128.25/16.41 fof(f8,axiom,(
% 128.25/16.41 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(V,inner_pasch(U,V,W,X,Y),Y) ) ))),
% 128.25/16.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 128.25/16.41 fof(f9,axiom,(
% 128.25/16.41 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(X,inner_pasch(U,V,W,X,Y),U) ) ))),
% 128.25/16.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 128.25/16.41 fof(f19,hypothesis,(
% 128.25/16.41 between(u,v,w) ),
% 128.25/16.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 128.25/16.41 fof(f20,hypothesis,(
% 128.25/16.41 equidistant(u,v,u,w) ),
% 128.25/16.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 128.25/16.41 fof(f21,negated_conjecture,(
% 128.25/16.41 v != w ),
% 128.25/16.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 128.25/16.41 fof(f22,plain,(
% 128.25/16.41 ![X0,X1]: (equidistant(X0,X1,X1,X0))),
% 128.25/16.41 inference(cnf_transformation,[status(esa)],[f1])).
% 128.25/16.41 fof(f23,plain,(
% 128.25/16.41 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 128.25/16.41 inference(miniscoping,[status(esa)],[f2])).
% 128.25/16.41 fof(f24,plain,(
% 128.25/16.41 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 128.25/16.41 inference(cnf_transformation,[status(esa)],[f23])).
% 128.25/16.41 fof(f25,plain,(
% 128.25/16.41 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 128.25/16.41 inference(miniscoping,[status(esa)],[f3])).
% 128.25/16.41 fof(f26,plain,(
% 128.25/16.41 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 128.25/16.41 inference(cnf_transformation,[status(esa)],[f25])).
% 128.25/16.41 fof(f27,plain,(
% 128.25/16.41 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 128.25/16.41 inference(cnf_transformation,[status(esa)],[f4])).
% 128.25/16.41 fof(f28,plain,(
% 128.25/16.41 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 128.25/16.41 inference(cnf_transformation,[status(esa)],[f5])).
% 128.25/16.41 fof(f29,plain,(
% 128.25/16.41 ![Z,Z1,V,V1]: ((![X,Y]: ((![X1,Y1]: (((((~equidistant(X,Y,X1,Y1)|~equidistant(Y,Z,Y1,Z1))|~equidistant(X,V,X1,V1))|~equidistant(Y,V,Y1,V1))|~between(X,Y,Z))|~between(X1,Y1,Z1)))|X=Y))|equidistant(Z,V,Z1,V1))),
% 128.25/16.41 inference(miniscoping,[status(esa)],[f6])).
% 128.25/16.41 fof(f30,plain,(
% 128.25/16.41 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~equidistant(X0,X1,X2,X3)|~equidistant(X1,X4,X3,X5)|~equidistant(X0,X6,X2,X7)|~equidistant(X1,X6,X3,X7)|~between(X0,X1,X4)|~between(X2,X3,X5)|X0=X1|equidistant(X4,X6,X5,X7))),
% 128.25/16.41 inference(cnf_transformation,[status(esa)],[f29])).
% 128.25/16.41 fof(f31,plain,(
% 128.25/16.41 ![X0,X1]: (~between(X0,X1,X0)|X0=X1)),
% 128.25/16.41 inference(cnf_transformation,[status(esa)],[f7])).
% 128.25/16.41 fof(f32,plain,(
% 128.25/16.41 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X1,inner_pasch(X0,X1,X2,X4,X3),X3))),
% 128.25/16.41 inference(cnf_transformation,[status(esa)],[f8])).
% 128.25/16.41 fof(f33,plain,(
% 128.25/16.41 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X4,inner_pasch(X0,X1,X2,X4,X3),X0))),
% 128.25/16.41 inference(cnf_transformation,[status(esa)],[f9])).
% 128.25/16.41 fof(f44,plain,(
% 128.25/16.41 between(u,v,w)),
% 128.25/16.41 inference(cnf_transformation,[status(esa)],[f19])).
% 128.25/16.41 fof(f45,plain,(
% 128.25/16.41 equidistant(u,v,u,w)),
% 128.25/16.41 inference(cnf_transformation,[status(esa)],[f20])).
% 128.25/16.41 fof(f46,plain,(
% 128.25/16.41 ~v=w),
% 128.25/16.41 inference(cnf_transformation,[status(esa)],[f21])).
% 128.25/16.41 fof(f48,plain,(
% 128.25/16.41 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 128.25/16.41 inference(resolution,[status(thm)],[f28,f26])).
% 128.25/16.41 fof(f49,plain,(
% 128.25/16.41 ![X0,X1]: (equidistant(X0,X0,X1,X1))),
% 128.25/16.41 inference(paramodulation,[status(thm)],[f48,f28])).
% 128.25/16.41 fof(f50,plain,(
% 128.25/16.41 ![X0,X1]: (between(X0,X1,X1))),
% 128.25/16.41 inference(paramodulation,[status(thm)],[f48,f27])).
% 128.25/16.41 fof(f58,plain,(
% 128.25/16.41 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X3,X2)|X1=inner_pasch(X0,X1,X2,X3,X1))),
% 128.25/16.41 inference(resolution,[status(thm)],[f32,f31])).
% 128.25/16.41 fof(f64,plain,(
% 128.25/16.41 ![X0,X1,X2]: (~between(X0,X1,X2)|X1=inner_pasch(X0,X1,X2,X2,X1))),
% 128.25/16.41 inference(resolution,[status(thm)],[f58,f50])).
% 128.25/16.41 fof(f65,plain,(
% 128.25/16.41 v=inner_pasch(u,v,w,w,v)),
% 128.25/16.41 inference(resolution,[status(thm)],[f64,f44])).
% 128.25/16.41 fof(f68,plain,(
% 128.25/16.41 ![X0,X1]: (X0=inner_pasch(X1,X0,X0,X0,X0))),
% 128.25/16.41 inference(resolution,[status(thm)],[f64,f50])).
% 128.25/16.41 fof(f69,plain,(
% 128.25/16.41 spl0_0 <=> between(u,v,w)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f71,plain,(
% 128.25/16.41 ~between(u,v,w)|spl0_0),
% 128.25/16.41 inference(component_clause,[status(thm)],[f69])).
% 128.25/16.41 fof(f72,plain,(
% 128.25/16.41 spl0_1 <=> between(v,w,w)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f74,plain,(
% 128.25/16.41 ~between(v,w,w)|spl0_1),
% 128.25/16.41 inference(component_clause,[status(thm)],[f72])).
% 128.25/16.41 fof(f80,plain,(
% 128.25/16.41 $false|spl0_1),
% 128.25/16.41 inference(forward_subsumption_resolution,[status(thm)],[f74,f50])).
% 128.25/16.41 fof(f81,plain,(
% 128.25/16.41 spl0_1),
% 128.25/16.41 inference(contradiction_clause,[status(thm)],[f80])).
% 128.25/16.41 fof(f82,plain,(
% 128.25/16.41 $false|spl0_0),
% 128.25/16.41 inference(forward_subsumption_resolution,[status(thm)],[f71,f44])).
% 128.25/16.41 fof(f83,plain,(
% 128.25/16.41 spl0_0),
% 128.25/16.41 inference(contradiction_clause,[status(thm)],[f82])).
% 128.25/16.41 fof(f99,plain,(
% 128.25/16.41 ![X0,X1]: (~between(X0,X1,w)|between(v,inner_pasch(X0,X1,w,v,u),X0))),
% 128.25/16.41 inference(resolution,[status(thm)],[f33,f44])).
% 128.25/16.41 fof(f101,plain,(
% 128.25/16.41 ![X0,X1,X2,X3,X4,X5]: (~between(X0,X1,extension(X2,X3,X4,X5))|between(X3,inner_pasch(X0,X1,extension(X2,X3,X4,X5),X3,X2),X0))),
% 128.25/16.41 inference(resolution,[status(thm)],[f33,f27])).
% 128.25/16.41 fof(f102,plain,(
% 128.25/16.41 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|between(X2,inner_pasch(X0,X1,X2,X2,X3),X0))),
% 128.25/16.41 inference(resolution,[status(thm)],[f33,f50])).
% 128.25/16.41 fof(f103,plain,(
% 128.25/16.41 ![X0]: (between(w,inner_pasch(u,v,w,w,X0),u))),
% 128.25/16.41 inference(resolution,[status(thm)],[f102,f44])).
% 128.25/16.41 fof(f106,plain,(
% 128.25/16.41 ![X0,X1,X2]: (between(X0,inner_pasch(X1,X0,X0,X0,X2),X1))),
% 128.25/16.41 inference(resolution,[status(thm)],[f102,f50])).
% 128.25/16.41 fof(f110,plain,(
% 128.25/16.41 spl0_4 <=> v=w),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f111,plain,(
% 128.25/16.41 v=w|~spl0_4),
% 128.25/16.41 inference(component_clause,[status(thm)],[f110])).
% 128.25/16.41 fof(f132,plain,(
% 128.25/16.41 $false|~spl0_4),
% 128.25/16.41 inference(forward_subsumption_resolution,[status(thm)],[f111,f46])).
% 128.25/16.41 fof(f133,plain,(
% 128.25/16.41 ~spl0_4),
% 128.25/16.41 inference(contradiction_clause,[status(thm)],[f132])).
% 128.25/16.41 fof(f294,plain,(
% 128.25/16.41 between(w,v,u)),
% 128.25/16.41 inference(paramodulation,[status(thm)],[f65,f103])).
% 128.25/16.41 fof(f295,plain,(
% 128.25/16.41 ![X0]: (between(u,inner_pasch(w,v,u,u,X0),w))),
% 128.25/16.41 inference(resolution,[status(thm)],[f294,f102])).
% 128.25/16.41 fof(f296,plain,(
% 128.25/16.41 ![X0,X1]: (~between(X0,X1,u)|between(v,inner_pasch(X0,X1,u,v,w),X0))),
% 128.25/16.41 inference(resolution,[status(thm)],[f294,f33])).
% 128.25/16.41 fof(f299,plain,(
% 128.25/16.41 spl0_13 <=> between(w,v,u)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f314,plain,(
% 128.25/16.41 ![X0,X1,X2,X3]: (between(v,inner_pasch(X0,inner_pasch(X1,X0,X2,X3,w),w,v,u),X0)|~between(X1,X0,X2)|~between(w,X3,X2))),
% 128.25/16.41 inference(resolution,[status(thm)],[f99,f32])).
% 128.25/16.41 fof(f315,plain,(
% 128.25/16.41 ![X0]: (between(v,inner_pasch(X0,w,w,v,u),X0))),
% 128.25/16.41 inference(resolution,[status(thm)],[f99,f50])).
% 128.25/16.41 fof(f321,plain,(
% 128.25/16.41 v=inner_pasch(v,w,w,v,u)),
% 128.25/16.41 inference(resolution,[status(thm)],[f315,f31])).
% 128.25/16.41 fof(f323,plain,(
% 128.25/16.41 ~between(v,w,w)|~between(u,v,w)|between(w,v,u)),
% 128.25/16.41 inference(paramodulation,[status(thm)],[f321,f32])).
% 128.25/16.41 fof(f324,plain,(
% 128.25/16.41 ~spl0_1|~spl0_0|spl0_13),
% 128.25/16.41 inference(split_clause,[status(thm)],[f323,f72,f69,f299])).
% 128.25/16.41 fof(f334,plain,(
% 128.25/16.41 ![X0]: (~between(v,X0,u)|v=inner_pasch(v,X0,u,v,w))),
% 128.25/16.41 inference(resolution,[status(thm)],[f296,f31])).
% 128.25/16.41 fof(f377,plain,(
% 128.25/16.41 ![X0,X1,X2]: (between(v,inner_pasch(X0,inner_pasch(X1,X0,X2,X2,w),w,v,u),X0)|~between(X1,X0,X2))),
% 128.25/16.41 inference(resolution,[status(thm)],[f314,f50])).
% 128.25/16.41 fof(f386,plain,(
% 128.25/16.41 ![X0,X1]: (between(v,inner_pasch(X0,inner_pasch(w,X0,X0,X0,X1),w,v,u),X0))),
% 128.25/16.41 inference(resolution,[status(thm)],[f106,f99])).
% 128.25/16.41 fof(f393,plain,(
% 128.25/16.41 ![X0,X1]: (between(X0,X0,X1))),
% 128.25/16.41 inference(paramodulation,[status(thm)],[f68,f106])).
% 128.25/16.41 fof(f399,plain,(
% 128.25/16.41 ![X0,X1,X2]: (between(X0,inner_pasch(X1,X1,X0,X0,X2),X1))),
% 128.25/16.41 inference(resolution,[status(thm)],[f393,f102])).
% 128.25/16.41 fof(f400,plain,(
% 128.25/16.41 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|between(X3,inner_pasch(X0,X1,X2,X3,X3),X0))),
% 128.25/16.41 inference(resolution,[status(thm)],[f393,f33])).
% 128.25/16.41 fof(f401,plain,(
% 128.25/16.41 ![X0,X1]: (X0=inner_pasch(X0,X0,X1,X1,X0))),
% 128.25/16.41 inference(resolution,[status(thm)],[f393,f64])).
% 128.25/16.41 fof(f408,plain,(
% 128.25/16.41 ![X0]: (v=inner_pasch(v,inner_pasch(u,u,v,v,X0),u,v,w))),
% 128.25/16.41 inference(resolution,[status(thm)],[f399,f334])).
% 128.25/16.41 fof(f662,plain,(
% 128.25/16.41 spl0_24 <=> ~between(v,inner_pasch(u,v,v,v,X0),u)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f663,plain,(
% 128.25/16.41 ![X0]: (~between(v,inner_pasch(u,v,v,v,X0),u)|~spl0_24)),
% 128.25/16.41 inference(component_clause,[status(thm)],[f662])).
% 128.25/16.41 fof(f674,plain,(
% 128.25/16.41 spl0_26 <=> ~between(v,inner_pasch(u,u,v,v,X0),u)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f675,plain,(
% 128.25/16.41 ![X0]: (~between(v,inner_pasch(u,u,v,v,X0),u)|~spl0_26)),
% 128.25/16.41 inference(component_clause,[status(thm)],[f674])).
% 128.25/16.41 fof(f679,plain,(
% 128.25/16.41 spl0_27 <=> ~between(v,inner_pasch(u,u,v,v,X0),u)|between(inner_pasch(u,u,v,v,X0),v,w)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f680,plain,(
% 128.25/16.41 ![X0]: (~between(v,inner_pasch(u,u,v,v,X0),u)|between(inner_pasch(u,u,v,v,X0),v,w)|~spl0_27)),
% 128.25/16.41 inference(component_clause,[status(thm)],[f679])).
% 128.25/16.41 fof(f682,plain,(
% 128.25/16.41 ![X0]: (~between(v,inner_pasch(u,u,v,v,X0),u)|~between(w,v,u)|between(inner_pasch(u,u,v,v,X0),v,w))),
% 128.25/16.41 inference(paramodulation,[status(thm)],[f408,f32])).
% 128.25/16.41 fof(f683,plain,(
% 128.25/16.41 spl0_27|~spl0_13),
% 128.25/16.41 inference(split_clause,[status(thm)],[f682,f679,f299])).
% 128.25/16.41 fof(f684,plain,(
% 128.25/16.41 ![X0]: (between(inner_pasch(u,u,v,v,X0),v,w)|~spl0_27)),
% 128.25/16.41 inference(forward_subsumption_resolution,[status(thm)],[f680,f399])).
% 128.25/16.41 fof(f827,plain,(
% 128.25/16.41 ![X0,X1,X2]: (~between(w,X0,X1)|between(v,inner_pasch(X2,inner_pasch(w,X0,X1,X2,X2),w,v,u),X2))),
% 128.25/16.41 inference(resolution,[status(thm)],[f400,f99])).
% 128.25/16.41 fof(f1191,plain,(
% 128.25/16.41 ![X0,X1,X2,X3,X4]: (between(X0,inner_pasch(X1,X1,extension(X2,X0,X3,X4),X0,X2),X1))),
% 128.25/16.41 inference(resolution,[status(thm)],[f101,f393])).
% 128.25/16.41 fof(f1192,plain,(
% 128.25/16.41 ![X0,X1,X2,X3,X4]: (between(X0,inner_pasch(X1,extension(X2,X0,X3,X4),extension(X2,X0,X3,X4),X0,X2),X1))),
% 128.25/16.41 inference(resolution,[status(thm)],[f101,f50])).
% 128.25/16.41 fof(f1225,plain,(
% 128.25/16.41 ![X0,X1,X2]: (~between(X0,X1,w)|between(v,inner_pasch(X0,X1,w,v,inner_pasch(u,u,v,v,X2)),X0)|~spl0_27)),
% 128.25/16.41 inference(resolution,[status(thm)],[f684,f33])).
% 128.25/16.41 fof(f1550,plain,(
% 128.25/16.41 spl0_51 <=> ~between(w,inner_pasch(u,v,w,w,X0),u)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f1551,plain,(
% 128.25/16.41 ![X0]: (~between(w,inner_pasch(u,v,w,w,X0),u)|~spl0_51)),
% 128.25/16.41 inference(component_clause,[status(thm)],[f1550])).
% 128.25/16.41 fof(f1561,plain,(
% 128.25/16.41 spl0_53 <=> ~between(u,inner_pasch(w,v,u,u,X0),w)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f1562,plain,(
% 128.25/16.41 ![X0]: (~between(u,inner_pasch(w,v,u,u,X0),w)|~spl0_53)),
% 128.25/16.41 inference(component_clause,[status(thm)],[f1561])).
% 128.25/16.41 fof(f1575,plain,(
% 128.25/16.41 spl0_55 <=> ~between(v,inner_pasch(w,v,v,v,X0),w)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f1576,plain,(
% 128.25/16.41 ![X0]: (~between(v,inner_pasch(w,v,v,v,X0),w)|~spl0_55)),
% 128.25/16.41 inference(component_clause,[status(thm)],[f1575])).
% 128.25/16.41 fof(f1584,plain,(
% 128.25/16.41 spl0_56 <=> ~between(v,inner_pasch(w,w,v,v,X0),w)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f1585,plain,(
% 128.25/16.41 ![X0]: (~between(v,inner_pasch(w,w,v,v,X0),w)|~spl0_56)),
% 128.25/16.41 inference(component_clause,[status(thm)],[f1584])).
% 128.25/16.41 fof(f1797,plain,(
% 128.25/16.41 ![X0,X1,X2,X3]: (X0=inner_pasch(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3),X0,X1))),
% 128.25/16.41 inference(resolution,[status(thm)],[f1192,f31])).
% 128.25/16.41 fof(f2461,plain,(
% 128.25/16.41 ![X0,X1]: (~between(v,X0,w)|v=inner_pasch(v,X0,w,v,inner_pasch(u,u,v,v,X1))|~spl0_27)),
% 128.25/16.41 inference(resolution,[status(thm)],[f1225,f31])).
% 128.25/16.41 fof(f2484,plain,(
% 128.25/16.41 ![X0]: (v=inner_pasch(v,w,w,v,inner_pasch(u,u,v,v,X0))|~spl0_27)),
% 128.25/16.41 inference(resolution,[status(thm)],[f2461,f50])).
% 128.25/16.41 fof(f2679,plain,(
% 128.25/16.41 spl0_109 <=> ~between(X0,w,w)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f2680,plain,(
% 128.25/16.41 ![X0]: (~between(X0,w,w)|~spl0_109)),
% 128.25/16.41 inference(component_clause,[status(thm)],[f2679])).
% 128.25/16.41 fof(f2794,plain,(
% 128.25/16.41 spl0_116 <=> ~between(X0,v,v)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f2795,plain,(
% 128.25/16.41 ![X0]: (~between(X0,v,v)|~spl0_116)),
% 128.25/16.41 inference(component_clause,[status(thm)],[f2794])).
% 128.25/16.41 fof(f2839,plain,(
% 128.25/16.41 ![X0,X1,X2,X3]: (~between(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3))|~between(X1,X0,extension(X1,X0,X2,X3))|between(extension(X1,X0,X2,X3),X0,X1))),
% 128.25/16.41 inference(paramodulation,[status(thm)],[f1797,f32])).
% 128.25/16.41 fof(f2840,plain,(
% 128.25/16.41 ![X0,X1,X2,X3]: (~between(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3))|between(extension(X1,X0,X2,X3),X0,X1))),
% 128.25/16.41 inference(forward_subsumption_resolution,[status(thm)],[f2839,f27])).
% 128.25/16.41 fof(f3697,plain,(
% 128.25/16.41 spl0_126 <=> ~between(inner_pasch(u,u,v,v,X0),v,w)|between(w,v,inner_pasch(u,u,v,v,X0))),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f3698,plain,(
% 128.25/16.41 ![X0]: (~between(inner_pasch(u,u,v,v,X0),v,w)|between(w,v,inner_pasch(u,u,v,v,X0))|~spl0_126)),
% 128.25/16.41 inference(component_clause,[status(thm)],[f3697])).
% 128.25/16.41 fof(f3700,plain,(
% 128.25/16.41 ![X0]: (~between(v,w,w)|~between(inner_pasch(u,u,v,v,X0),v,w)|between(w,v,inner_pasch(u,u,v,v,X0))|~spl0_27)),
% 128.25/16.41 inference(paramodulation,[status(thm)],[f2484,f32])).
% 128.25/16.41 fof(f3701,plain,(
% 128.25/16.41 ~spl0_1|spl0_126|~spl0_27),
% 128.25/16.41 inference(split_clause,[status(thm)],[f3700,f72,f3697,f679])).
% 128.25/16.41 fof(f3702,plain,(
% 128.25/16.41 ![X0]: (between(w,v,inner_pasch(u,u,v,v,X0))|~spl0_27|~spl0_126)),
% 128.25/16.41 inference(forward_subsumption_resolution,[status(thm)],[f3698,f684])).
% 128.25/16.41 fof(f4185,plain,(
% 128.25/16.41 spl0_145 <=> u=v),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f4186,plain,(
% 128.25/16.41 u=v|~spl0_145),
% 128.25/16.41 inference(component_clause,[status(thm)],[f4185])).
% 128.25/16.41 fof(f4191,plain,(
% 128.25/16.41 spl0_146 <=> equidistant(u,w,u,v)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f4193,plain,(
% 128.25/16.41 ~equidistant(u,w,u,v)|spl0_146),
% 128.25/16.41 inference(component_clause,[status(thm)],[f4191])).
% 128.25/16.41 fof(f4197,plain,(
% 128.25/16.41 spl0_148 <=> u=w),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f4198,plain,(
% 128.25/16.41 u=w|~spl0_148),
% 128.25/16.41 inference(component_clause,[status(thm)],[f4197])).
% 128.25/16.41 fof(f4240,plain,(
% 128.25/16.41 spl0_149 <=> ~between(v,inner_pasch(u,X0,X0,v,v),u)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f4241,plain,(
% 128.25/16.41 ![X0]: (~between(v,inner_pasch(u,X0,X0,v,v),u)|~spl0_149)),
% 128.25/16.41 inference(component_clause,[status(thm)],[f4240])).
% 128.25/16.41 fof(f4252,plain,(
% 128.25/16.41 spl0_151 <=> ~between(v,inner_pasch(u,u,X0,v,v),u)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f4253,plain,(
% 128.25/16.41 ![X0]: (~between(v,inner_pasch(u,u,X0,v,v),u)|~spl0_151)),
% 128.25/16.41 inference(component_clause,[status(thm)],[f4252])).
% 128.25/16.41 fof(f4297,plain,(
% 128.25/16.41 ![X0,X1]: (between(v,inner_pasch(X0,inner_pasch(w,X1,X1,X0,X0),w,v,u),X0))),
% 128.25/16.41 inference(resolution,[status(thm)],[f827,f50])).
% 128.25/16.41 fof(f5368,plain,(
% 128.25/16.41 ![X0,X1]: (~equidistant(X0,X1,u,w)|~equidistant(X0,X1,u,v)|spl0_146)),
% 128.25/16.41 inference(resolution,[status(thm)],[f4193,f24])).
% 128.25/16.41 fof(f5369,plain,(
% 128.25/16.41 ~equidistant(u,v,u,v)|spl0_146),
% 128.25/16.41 inference(resolution,[status(thm)],[f5368,f45])).
% 128.25/16.41 fof(f5401,plain,(
% 128.25/16.41 spl0_168 <=> equidistant(u,w,u,w)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f5403,plain,(
% 128.25/16.41 ~equidistant(u,w,u,w)|spl0_168),
% 128.25/16.41 inference(component_clause,[status(thm)],[f5401])).
% 128.25/16.41 fof(f5935,plain,(
% 128.25/16.41 between(u,v,u)|~spl0_148),
% 128.25/16.41 inference(backward_demodulation,[status(thm)],[f4198,f294])).
% 128.25/16.41 fof(f5969,plain,(
% 128.25/16.41 ~v=u|~spl0_148),
% 128.25/16.41 inference(backward_demodulation,[status(thm)],[f4198,f46])).
% 128.25/16.41 fof(f6031,plain,(
% 128.25/16.41 between(w,v,u)|~spl0_27|~spl0_126),
% 128.25/16.41 inference(paramodulation,[status(thm)],[f401,f3702])).
% 128.25/16.41 fof(f6134,plain,(
% 128.25/16.41 between(u,v,w)|~spl0_27),
% 128.25/16.41 inference(paramodulation,[status(thm)],[f401,f684])).
% 128.25/16.41 fof(f7481,plain,(
% 128.25/16.41 spl0_190 <=> between(u,v,u)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f7482,plain,(
% 128.25/16.41 between(u,v,u)|~spl0_190),
% 128.25/16.41 inference(component_clause,[status(thm)],[f7481])).
% 128.25/16.41 fof(f7483,plain,(
% 128.25/16.41 ~between(u,v,u)|spl0_190),
% 128.25/16.41 inference(component_clause,[status(thm)],[f7481])).
% 128.25/16.41 fof(f8373,plain,(
% 128.25/16.41 $false|spl0_190|~spl0_148),
% 128.25/16.41 inference(forward_subsumption_resolution,[status(thm)],[f5935,f7483])).
% 128.25/16.41 fof(f8374,plain,(
% 128.25/16.41 spl0_190|~spl0_148),
% 128.25/16.41 inference(contradiction_clause,[status(thm)],[f8373])).
% 128.25/16.41 fof(f8375,plain,(
% 128.25/16.41 $false|~spl0_148|~spl0_145),
% 128.25/16.41 inference(forward_subsumption_resolution,[status(thm)],[f4186,f5969])).
% 128.25/16.41 fof(f8376,plain,(
% 128.25/16.41 ~spl0_148|~spl0_145),
% 128.25/16.41 inference(contradiction_clause,[status(thm)],[f8375])).
% 128.25/16.41 fof(f8595,plain,(
% 128.25/16.41 ![X0,X1]: (~equidistant(X0,X1,u,v)|~equidistant(X0,X1,u,v)|spl0_146)),
% 128.25/16.41 inference(resolution,[status(thm)],[f5369,f24])).
% 128.25/16.41 fof(f8596,plain,(
% 128.25/16.41 ![X0,X1]: (~equidistant(X0,X1,u,v)|spl0_146)),
% 128.25/16.41 inference(duplicate_literals_removal,[status(esa)],[f8595])).
% 128.25/16.41 fof(f8597,plain,(
% 128.25/16.41 $false|spl0_146),
% 128.25/16.41 inference(resolution,[status(thm)],[f8596,f28])).
% 128.25/16.41 fof(f8598,plain,(
% 128.25/16.41 spl0_146),
% 128.25/16.41 inference(contradiction_clause,[status(thm)],[f8597])).
% 128.25/16.41 fof(f10690,plain,(
% 128.25/16.41 spl0_237 <=> equidistant(v,v,w,w)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f10692,plain,(
% 128.25/16.41 ~equidistant(v,v,w,w)|spl0_237),
% 128.25/16.41 inference(component_clause,[status(thm)],[f10690])).
% 128.25/16.41 fof(f10699,plain,(
% 128.25/16.41 spl0_239 <=> equidistant(w,w,v,v)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f10701,plain,(
% 128.25/16.41 ~equidistant(w,w,v,v)|spl0_239),
% 128.25/16.41 inference(component_clause,[status(thm)],[f10699])).
% 128.25/16.41 fof(f10849,plain,(
% 128.25/16.41 $false|spl0_237),
% 128.25/16.41 inference(forward_subsumption_resolution,[status(thm)],[f10692,f49])).
% 128.25/16.41 fof(f10850,plain,(
% 128.25/16.41 spl0_237),
% 128.25/16.41 inference(contradiction_clause,[status(thm)],[f10849])).
% 128.25/16.41 fof(f10855,plain,(
% 128.25/16.41 $false|spl0_239),
% 128.25/16.41 inference(forward_subsumption_resolution,[status(thm)],[f10701,f49])).
% 128.25/16.41 fof(f10856,plain,(
% 128.25/16.41 spl0_239),
% 128.25/16.41 inference(contradiction_clause,[status(thm)],[f10855])).
% 128.25/16.41 fof(f10989,plain,(
% 128.25/16.41 spl0_263 <=> equidistant(v,v,v,v)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f10991,plain,(
% 128.25/16.41 ~equidistant(v,v,v,v)|spl0_263),
% 128.25/16.41 inference(component_clause,[status(thm)],[f10989])).
% 128.25/16.41 fof(f12460,plain,(
% 128.25/16.41 $false|spl0_263),
% 128.25/16.41 inference(forward_subsumption_resolution,[status(thm)],[f10991,f49])).
% 128.25/16.41 fof(f12461,plain,(
% 128.25/16.41 spl0_263),
% 128.25/16.41 inference(contradiction_clause,[status(thm)],[f12460])).
% 128.25/16.41 fof(f12654,plain,(
% 128.25/16.41 ![X0,X1]: (~equidistant(X0,X1,u,w)|~equidistant(X0,X1,u,w)|spl0_168)),
% 128.25/16.41 inference(resolution,[status(thm)],[f5403,f24])).
% 128.25/16.41 fof(f12655,plain,(
% 128.25/16.41 ![X0,X1]: (~equidistant(X0,X1,u,w)|spl0_168)),
% 128.25/16.41 inference(duplicate_literals_removal,[status(esa)],[f12654])).
% 128.25/16.41 fof(f12656,plain,(
% 128.25/16.41 $false|spl0_168),
% 128.25/16.41 inference(backward_subsumption_resolution,[status(thm)],[f45,f12655])).
% 128.25/16.41 fof(f12657,plain,(
% 128.25/16.41 spl0_168),
% 128.25/16.41 inference(contradiction_clause,[status(thm)],[f12656])).
% 128.25/16.41 fof(f12686,plain,(
% 128.25/16.41 spl0_290 <=> equidistant(w,u,w,u)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f12688,plain,(
% 128.25/16.41 ~equidistant(w,u,w,u)|spl0_290),
% 128.25/16.41 inference(component_clause,[status(thm)],[f12686])).
% 128.25/16.41 fof(f12695,plain,(
% 128.25/16.41 spl0_292 <=> equidistant(w,w,w,w)),
% 128.25/16.41 introduced(split_symbol_definition)).
% 128.25/16.41 fof(f12697,plain,(
% 128.25/16.41 ~equidistant(w,w,w,w)|spl0_292),
% 128.25/16.41 inference(component_clause,[status(thm)],[f12695])).
% 128.25/16.41 fof(f12820,plain,(
% 128.25/16.41 $false|spl0_292),
% 128.25/16.41 inference(forward_subsumption_resolution,[status(thm)],[f12697,f49])).
% 128.25/16.41 fof(f12821,plain,(
% 128.25/16.41 spl0_292),
% 128.25/16.41 inference(contradiction_clause,[status(thm)],[f12820])).
% 128.25/16.41 fof(f12823,plain,(
% 128.25/16.41 ![X0,X1]: (~equidistant(X0,X1,w,u)|~equidistant(X0,X1,w,u)|spl0_290)),
% 128.25/16.41 inference(resolution,[status(thm)],[f12688,f24])).
% 128.25/16.41 fof(f12824,plain,(
% 128.25/16.41 ![X0,X1]: (~equidistant(X0,X1,w,u)|spl0_290)),
% 128.25/16.41 inference(duplicate_literals_removal,[status(esa)],[f12823])).
% 128.25/16.41 fof(f12825,plain,(
% 128.25/16.41 $false|spl0_290),
% 128.25/16.41 inference(resolution,[status(thm)],[f12824,f28])).
% 128.25/16.41 fof(f12826,plain,(
% 128.25/16.41 spl0_290),
% 128.25/16.41 inference(contradiction_clause,[status(thm)],[f12825])).
% 128.25/16.41 fof(f15340,plain,(
% 128.25/16.41 ![X0,X1,X2,X3]: (between(extension(X0,X1,X2,X3),X1,X0))),
% 128.25/16.41 inference(forward_subsumption_resolution,[status(thm)],[f2840,f50])).
% 128.25/16.41 fof(f15396,plain,(
% 128.25/16.41 ![X0,X1,X2,X3,X4,X5]: (~between(X0,X1,X2)|between(X3,inner_pasch(X0,X1,X2,X3,extension(X2,X3,X4,X5)),X0))),
% 128.25/16.41 inference(resolution,[status(thm)],[f15340,f33])).
% 128.25/16.41 fof(f16408,plain,(
% 128.25/16.41 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|X0=inner_pasch(X0,X1,X2,X0,extension(X2,X0,X3,X4)))),
% 128.25/16.41 inference(resolution,[status(thm)],[f15396,f31])).
% 128.25/16.41 fof(f16441,plain,(
% 128.25/16.41 ![X0,X1]: (w=inner_pasch(w,v,u,w,extension(u,w,X0,X1))|~spl0_27|~spl0_126)),
% 128.25/16.42 inference(resolution,[status(thm)],[f16408,f6031])).
% 128.25/16.42 fof(f24938,plain,(
% 128.25/16.42 ![X0,X1,X2,X3]: (~equidistant(u,X0,u,X1)|~equidistant(X0,X2,X1,X3)|~equidistant(X0,v,X1,w)|~between(u,X0,X2)|~between(u,X1,X3)|u=X0|equidistant(X2,v,X3,w))),
% 128.25/16.42 inference(resolution,[status(thm)],[f30,f45])).
% 128.25/16.42 fof(f24967,plain,(
% 128.25/16.42 spl0_435 <=> ~between(extension(u,w,X0,X1),w,u)|between(v,w,extension(u,w,X0,X1))),
% 128.25/16.42 introduced(split_symbol_definition)).
% 128.25/16.42 fof(f24968,plain,(
% 128.25/16.42 ![X0,X1]: (~between(extension(u,w,X0,X1),w,u)|between(v,w,extension(u,w,X0,X1))|~spl0_435)),
% 128.25/16.42 inference(component_clause,[status(thm)],[f24967])).
% 128.25/16.42 fof(f24970,plain,(
% 128.25/16.42 ![X0,X1]: (~between(w,v,u)|~between(extension(u,w,X0,X1),w,u)|between(v,w,extension(u,w,X0,X1))|~spl0_27|~spl0_126)),
% 128.25/16.42 inference(paramodulation,[status(thm)],[f16441,f32])).
% 128.25/16.42 fof(f24971,plain,(
% 128.25/16.42 ~spl0_13|spl0_435|~spl0_27|~spl0_126),
% 128.25/16.42 inference(split_clause,[status(thm)],[f24970,f299,f24967,f679,f3697])).
% 128.25/16.42 fof(f24972,plain,(
% 128.25/16.42 ![X0,X1]: (between(v,w,extension(u,w,X0,X1))|~spl0_435)),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f24968,f15340])).
% 128.25/16.42 fof(f25642,plain,(
% 128.25/16.42 spl0_458 <=> ~equidistant(w,X0,v,X1)|~between(u,w,X0)|~between(u,v,X1)|equidistant(X0,v,X1,w)),
% 128.25/16.42 introduced(split_symbol_definition)).
% 128.25/16.42 fof(f25643,plain,(
% 128.25/16.42 ![X0,X1]: (~equidistant(w,X0,v,X1)|~between(u,w,X0)|~between(u,v,X1)|equidistant(X0,v,X1,w)|~spl0_458)),
% 128.25/16.42 inference(component_clause,[status(thm)],[f25642])).
% 128.25/16.42 fof(f25645,plain,(
% 128.25/16.42 ![X0,X1]: (~equidistant(u,w,u,v)|~equidistant(w,X0,v,X1)|~between(u,w,X0)|~between(u,v,X1)|u=w|equidistant(X0,v,X1,w))),
% 128.25/16.42 inference(resolution,[status(thm)],[f24938,f22])).
% 128.25/16.42 fof(f25646,plain,(
% 128.25/16.42 ~spl0_146|spl0_458|spl0_148),
% 128.25/16.42 inference(split_clause,[status(thm)],[f25645,f4191,f25642,f4197])).
% 128.25/16.42 fof(f26204,plain,(
% 128.25/16.42 ![X0,X1,X2]: (~equidistant(w,extension(u,w,X0,X1),v,X2)|~between(u,v,X2)|equidistant(extension(u,w,X0,X1),v,X2,w)|~spl0_458)),
% 128.25/16.42 inference(resolution,[status(thm)],[f25643,f27])).
% 128.25/16.42 fof(f26798,plain,(
% 128.25/16.42 u=v|~spl0_190),
% 128.25/16.42 inference(resolution,[status(thm)],[f7482,f31])).
% 128.25/16.42 fof(f26799,plain,(
% 128.25/16.42 spl0_145|~spl0_190),
% 128.25/16.42 inference(split_clause,[status(thm)],[f26798,f4185,f7481])).
% 128.25/16.42 fof(f28013,plain,(
% 128.25/16.42 $false|~spl0_24),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f663,f106])).
% 128.25/16.42 fof(f28014,plain,(
% 128.25/16.42 ~spl0_24),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f28013])).
% 128.25/16.42 fof(f28015,plain,(
% 128.25/16.42 $false|~spl0_26),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f675,f399])).
% 128.25/16.42 fof(f28016,plain,(
% 128.25/16.42 ~spl0_26),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f28015])).
% 128.25/16.42 fof(f34616,plain,(
% 128.25/16.42 ![X0,X1]: (between(v,inner_pasch(X0,inner_pasch(X0,X0,X1,X1,w),w,v,u),X0))),
% 128.25/16.42 inference(resolution,[status(thm)],[f377,f393])).
% 128.25/16.42 fof(f34617,plain,(
% 128.25/16.42 ![X0,X1]: (between(v,inner_pasch(X0,inner_pasch(X1,X0,X0,X0,w),w,v,u),X0))),
% 128.25/16.42 inference(resolution,[status(thm)],[f377,f50])).
% 128.25/16.42 fof(f41665,plain,(
% 128.25/16.42 spl0_568 <=> ~between(extension(X0,v,X1,X2),v,X0)|~between(v,inner_pasch(X0,w,w,v,u),X0)),
% 128.25/16.42 introduced(split_symbol_definition)).
% 128.25/16.42 fof(f41666,plain,(
% 128.25/16.42 ![X0,X1,X2]: (~between(extension(X0,v,X1,X2),v,X0)|~between(v,inner_pasch(X0,w,w,v,u),X0)|~spl0_568)),
% 128.25/16.42 inference(component_clause,[status(thm)],[f41665])).
% 128.25/16.42 fof(f41682,plain,(
% 128.25/16.42 spl0_569 <=> ~between(v,inner_pasch(X0,inner_pasch(w,X0,X0,X0,X1),w,v,u),X0)),
% 128.25/16.42 introduced(split_symbol_definition)).
% 128.25/16.42 fof(f41683,plain,(
% 128.25/16.42 ![X0,X1]: (~between(v,inner_pasch(X0,inner_pasch(w,X0,X0,X0,X1),w,v,u),X0)|~spl0_569)),
% 128.25/16.42 inference(component_clause,[status(thm)],[f41682])).
% 128.25/16.42 fof(f43580,plain,(
% 128.25/16.42 spl0_586 <=> ~between(v,inner_pasch(X0,inner_pasch(w,X1,X1,X0,X0),w,v,u),X0)),
% 128.25/16.42 introduced(split_symbol_definition)).
% 128.25/16.42 fof(f43581,plain,(
% 128.25/16.42 ![X0,X1]: (~between(v,inner_pasch(X0,inner_pasch(w,X1,X1,X0,X0),w,v,u),X0)|~spl0_586)),
% 128.25/16.42 inference(component_clause,[status(thm)],[f43580])).
% 128.25/16.42 fof(f53162,plain,(
% 128.25/16.42 spl0_726 <=> ~between(v,inner_pasch(X0,inner_pasch(X0,X0,X1,X1,w),w,v,u),X0)),
% 128.25/16.42 introduced(split_symbol_definition)).
% 128.25/16.42 fof(f53163,plain,(
% 128.25/16.42 ![X0,X1]: (~between(v,inner_pasch(X0,inner_pasch(X0,X0,X1,X1,w),w,v,u),X0)|~spl0_726)),
% 128.25/16.42 inference(component_clause,[status(thm)],[f53162])).
% 128.25/16.42 fof(f53179,plain,(
% 128.25/16.42 spl0_727 <=> ~between(v,inner_pasch(X0,inner_pasch(X1,X0,X0,X0,w),w,v,u),X0)),
% 128.25/16.42 introduced(split_symbol_definition)).
% 128.25/16.42 fof(f53180,plain,(
% 128.25/16.42 ![X0,X1]: (~between(v,inner_pasch(X0,inner_pasch(X1,X0,X0,X0,w),w,v,u),X0)|~spl0_727)),
% 128.25/16.42 inference(component_clause,[status(thm)],[f53179])).
% 128.25/16.42 fof(f55073,plain,(
% 128.25/16.42 spl0_765 <=> ~between(v,v,X0)|~between(v,inner_pasch(X0,inner_pasch(w,X0,X0,X0,X1),w,v,u),X0)),
% 128.25/16.42 introduced(split_symbol_definition)).
% 128.25/16.42 fof(f55074,plain,(
% 128.25/16.42 ![X0,X1]: (~between(v,v,X0)|~between(v,inner_pasch(X0,inner_pasch(w,X0,X0,X0,X1),w,v,u),X0)|~spl0_765)),
% 128.25/16.42 inference(component_clause,[status(thm)],[f55073])).
% 128.25/16.42 fof(f55844,plain,(
% 128.25/16.42 $false|~spl0_51),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f1551,f103])).
% 128.25/16.42 fof(f55845,plain,(
% 128.25/16.42 ~spl0_51),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f55844])).
% 128.25/16.42 fof(f55852,plain,(
% 128.25/16.42 $false|~spl0_53),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f1562,f295])).
% 128.25/16.42 fof(f55853,plain,(
% 128.25/16.42 ~spl0_53),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f55852])).
% 128.25/16.42 fof(f56793,plain,(
% 128.25/16.42 $false|~spl0_55),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f1576,f106])).
% 128.25/16.42 fof(f56794,plain,(
% 128.25/16.42 ~spl0_55),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f56793])).
% 128.25/16.42 fof(f56795,plain,(
% 128.25/16.42 $false|~spl0_56),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f1585,f399])).
% 128.25/16.42 fof(f56796,plain,(
% 128.25/16.42 ~spl0_56),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f56795])).
% 128.25/16.42 fof(f56806,plain,(
% 128.25/16.42 ![X0,X1]: (~between(v,inner_pasch(X0,inner_pasch(w,X0,X0,X0,X1),w,v,u),X0)|~spl0_765)),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f55074,f393])).
% 128.25/16.42 fof(f56945,plain,(
% 128.25/16.42 $false|~spl0_727),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f53180,f34617])).
% 128.25/16.42 fof(f56946,plain,(
% 128.25/16.42 ~spl0_727),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f56945])).
% 128.25/16.42 fof(f56947,plain,(
% 128.25/16.42 $false|~spl0_726),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f53163,f34616])).
% 128.25/16.42 fof(f56948,plain,(
% 128.25/16.42 ~spl0_726),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f56947])).
% 128.25/16.42 fof(f57131,plain,(
% 128.25/16.42 $false|~spl0_586),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f43581,f4297])).
% 128.25/16.42 fof(f57132,plain,(
% 128.25/16.42 ~spl0_586),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f57131])).
% 128.25/16.42 fof(f57135,plain,(
% 128.25/16.42 $false|~spl0_569),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f41683,f386])).
% 128.25/16.42 fof(f57136,plain,(
% 128.25/16.42 ~spl0_569),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f57135])).
% 128.25/16.42 fof(f57137,plain,(
% 128.25/16.42 ![X0]: (~between(v,inner_pasch(X0,w,w,v,u),X0)|~spl0_568)),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f41666,f15340])).
% 128.25/16.42 fof(f57159,plain,(
% 128.25/16.42 $false|~spl0_149),
% 128.25/16.42 inference(resolution,[status(thm)],[f4241,f1192])).
% 128.25/16.42 fof(f57160,plain,(
% 128.25/16.42 ~spl0_149),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f57159])).
% 128.25/16.42 fof(f57161,plain,(
% 128.25/16.42 spl0_795 <=> ~between(X0,u,u)),
% 128.25/16.42 introduced(split_symbol_definition)).
% 128.25/16.42 fof(f57162,plain,(
% 128.25/16.42 ![X0]: (~between(X0,u,u)|~spl0_795)),
% 128.25/16.42 inference(component_clause,[status(thm)],[f57161])).
% 128.25/16.42 fof(f57169,plain,(
% 128.25/16.42 $false|~spl0_795),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f57162,f50])).
% 128.25/16.42 fof(f57170,plain,(
% 128.25/16.42 ~spl0_795),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f57169])).
% 128.25/16.42 fof(f57178,plain,(
% 128.25/16.42 $false|~spl0_109),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f2680,f50])).
% 128.25/16.42 fof(f57179,plain,(
% 128.25/16.42 ~spl0_109),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f57178])).
% 128.25/16.42 fof(f57182,plain,(
% 128.25/16.42 $false|~spl0_568),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f57137,f315])).
% 128.25/16.42 fof(f57183,plain,(
% 128.25/16.42 ~spl0_568),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f57182])).
% 128.25/16.42 fof(f57949,plain,(
% 128.25/16.42 $false|~spl0_151),
% 128.25/16.42 inference(resolution,[status(thm)],[f4253,f1191])).
% 128.25/16.42 fof(f57950,plain,(
% 128.25/16.42 ~spl0_151),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f57949])).
% 128.25/16.42 fof(f59703,plain,(
% 128.25/16.42 spl0_837 <=> between(continuous(u,u,u,v,v,w),continuous(u,u,u,v,v,w),u)),
% 128.25/16.42 introduced(split_symbol_definition)).
% 128.25/16.42 fof(f59705,plain,(
% 128.25/16.42 ~between(continuous(u,u,u,v,v,w),continuous(u,u,u,v,v,w),u)|spl0_837),
% 128.25/16.42 inference(component_clause,[status(thm)],[f59703])).
% 128.25/16.42 fof(f59716,plain,(
% 128.25/16.42 $false|spl0_837),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f59705,f393])).
% 128.25/16.42 fof(f59717,plain,(
% 128.25/16.42 spl0_837),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f59716])).
% 128.25/16.42 fof(f59719,plain,(
% 128.25/16.42 $false|~spl0_765),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f56806,f386])).
% 128.25/16.42 fof(f59720,plain,(
% 128.25/16.42 ~spl0_765),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f59719])).
% 128.25/16.42 fof(f67813,plain,(
% 128.25/16.42 $false|~spl0_116),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f2795,f50])).
% 128.25/16.42 fof(f67814,plain,(
% 128.25/16.42 ~spl0_116),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f67813])).
% 128.25/16.42 fof(f68108,plain,(
% 128.25/16.42 ![X0]: (~between(u,v,X0)|equidistant(extension(u,w,v,X0),v,X0,w)|~spl0_458)),
% 128.25/16.42 inference(resolution,[status(thm)],[f26204,f28])).
% 128.25/16.42 fof(f69898,plain,(
% 128.25/16.42 equidistant(extension(u,w,v,w),v,w,w)|~spl0_458|~spl0_27),
% 128.25/16.42 inference(resolution,[status(thm)],[f68108,f6134])).
% 128.25/16.42 fof(f69919,plain,(
% 128.25/16.42 spl0_902 <=> equidistant(extension(u,w,v,w),extension(u,w,v,w),w,w)),
% 128.25/16.42 introduced(split_symbol_definition)).
% 128.25/16.42 fof(f69921,plain,(
% 128.25/16.42 ~equidistant(extension(u,w,v,w),extension(u,w,v,w),w,w)|spl0_902),
% 128.25/16.42 inference(component_clause,[status(thm)],[f69919])).
% 128.25/16.42 fof(f69973,plain,(
% 128.25/16.42 spl0_910 <=> between(extension(u,w,v,w),extension(u,w,v,w),v)),
% 128.25/16.42 introduced(split_symbol_definition)).
% 128.25/16.42 fof(f69975,plain,(
% 128.25/16.42 ~between(extension(u,w,v,w),extension(u,w,v,w),v)|spl0_910),
% 128.25/16.42 inference(component_clause,[status(thm)],[f69973])).
% 128.25/16.42 fof(f70013,plain,(
% 128.25/16.42 spl0_915 <=> between(extension(u,w,v,w),extension(u,w,v,w),w)),
% 128.25/16.42 introduced(split_symbol_definition)).
% 128.25/16.42 fof(f70015,plain,(
% 128.25/16.42 ~between(extension(u,w,v,w),extension(u,w,v,w),w)|spl0_915),
% 128.25/16.42 inference(component_clause,[status(thm)],[f70013])).
% 128.25/16.42 fof(f70016,plain,(
% 128.25/16.42 spl0_916 <=> between(w,w,extension(u,w,v,w))),
% 128.25/16.42 introduced(split_symbol_definition)).
% 128.25/16.42 fof(f70018,plain,(
% 128.25/16.42 ~between(w,w,extension(u,w,v,w))|spl0_916),
% 128.25/16.42 inference(component_clause,[status(thm)],[f70016])).
% 128.25/16.42 fof(f70054,plain,(
% 128.25/16.42 spl0_922 <=> equidistant(w,extension(u,w,v,w),v,w)),
% 128.25/16.42 introduced(split_symbol_definition)).
% 128.25/16.42 fof(f70056,plain,(
% 128.25/16.42 ~equidistant(w,extension(u,w,v,w),v,w)|spl0_922),
% 128.25/16.42 inference(component_clause,[status(thm)],[f70054])).
% 128.25/16.42 fof(f70111,plain,(
% 128.25/16.42 extension(u,w,v,w)=v|~spl0_458|~spl0_27),
% 128.25/16.42 inference(resolution,[status(thm)],[f69898,f26])).
% 128.25/16.42 fof(f70123,plain,(
% 128.25/16.42 $false|spl0_916),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f70018,f393])).
% 128.25/16.42 fof(f70124,plain,(
% 128.25/16.42 spl0_916),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f70123])).
% 128.25/16.42 fof(f70125,plain,(
% 128.25/16.42 $false|spl0_915),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f70015,f393])).
% 128.25/16.42 fof(f70126,plain,(
% 128.25/16.42 spl0_915),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f70125])).
% 128.25/16.42 fof(f70127,plain,(
% 128.25/16.42 $false|spl0_922),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f70056,f28])).
% 128.25/16.42 fof(f70128,plain,(
% 128.25/16.42 spl0_922),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f70127])).
% 128.25/16.42 fof(f70129,plain,(
% 128.25/16.42 $false|spl0_910),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f69975,f393])).
% 128.25/16.42 fof(f70130,plain,(
% 128.25/16.42 spl0_910),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f70129])).
% 128.25/16.42 fof(f70131,plain,(
% 128.25/16.42 $false|spl0_902),
% 128.25/16.42 inference(forward_subsumption_resolution,[status(thm)],[f69921,f49])).
% 128.25/16.42 fof(f70132,plain,(
% 128.25/16.42 spl0_902),
% 128.25/16.42 inference(contradiction_clause,[status(thm)],[f70131])).
% 128.25/16.42 fof(f70144,plain,(
% 128.25/16.42 between(v,w,v)|~spl0_435|~spl0_458|~spl0_27),
% 128.25/16.42 inference(paramodulation,[status(thm)],[f70111,f24972])).
% 128.25/16.42 fof(f70346,plain,(
% 128.25/16.42 v=w|~spl0_435|~spl0_458|~spl0_27),
% 128.25/16.42 inference(resolution,[status(thm)],[f70144,f31])).
% 128.25/16.42 fof(f70347,plain,(
% 128.25/16.42 spl0_4|~spl0_435|~spl0_458|~spl0_27),
% 128.25/16.42 inference(split_clause,[status(thm)],[f70346,f110,f24967,f25642,f679])).
% 128.25/16.42 fof(f70375,plain,(
% 128.25/16.42 $false),
% 128.25/16.42 inference(sat_refutation,[status(thm)],[f81,f83,f133,f324,f683,f3701,f8374,f8376,f8598,f10850,f10856,f12461,f12657,f12821,f12826,f24971,f25646,f26799,f28014,f28016,f55845,f55853,f56794,f56796,f56946,f56948,f57132,f57136,f57160,f57170,f57179,f57183,f57950,f59717,f59720,f67814,f70124,f70126,f70128,f70130,f70132,f70347])).
% 128.25/16.42 % SZS output end CNFRefutation for theBenchmark.p
% 129.23/16.61 % Elapsed time: 16.326821 seconds
% 129.23/16.61 % CPU time: 129.263749 seconds
% 129.23/16.61 % Memory used: 599.720 MB
%------------------------------------------------------------------------------