TSTP Solution File: GEO053-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n016.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 20:16:57 EDT 2024
% Result : Unsatisfiable 30.56s 4.26s
% Output : CNFRefutation 30.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO053-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.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 Apr 30 02:14:10 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 30.56/4.26 % Refutation found
% 30.56/4.26 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 30.56/4.26 % SZS output start CNFRefutation for theBenchmark
% 30.56/4.26 fof(f1,axiom,(
% 30.56/4.26 (![X,Y]: (equidistant(X,Y,Y,X) ))),
% 30.56/4.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.56/4.26 fof(f2,axiom,(
% 30.56/4.26 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 30.56/4.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.56/4.26 fof(f3,axiom,(
% 30.56/4.26 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 30.56/4.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.56/4.26 fof(f4,axiom,(
% 30.56/4.26 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 30.56/4.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.56/4.26 fof(f5,axiom,(
% 30.56/4.26 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 30.56/4.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.56/4.26 fof(f6,axiom,(
% 30.56/4.26 (![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) ) ))),
% 30.56/4.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.56/4.26 fof(f7,axiom,(
% 30.56/4.26 (![X,Y]: (( ~ between(X,Y,X)| X = Y ) ))),
% 30.56/4.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.56/4.26 fof(f8,axiom,(
% 30.56/4.26 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(V,inner_pasch(U,V,W,X,Y),Y) ) ))),
% 30.56/4.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.56/4.26 fof(f9,axiom,(
% 30.56/4.26 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(X,inner_pasch(U,V,W,X,Y),U) ) ))),
% 30.56/4.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.56/4.26 fof(f19,hypothesis,(
% 30.56/4.26 between(u,v,w) ),
% 30.56/4.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.56/4.26 fof(f20,hypothesis,(
% 30.56/4.26 equidistant(u,v,u,w) ),
% 30.56/4.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.56/4.26 fof(f21,negated_conjecture,(
% 30.56/4.26 v != w ),
% 30.56/4.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.56/4.26 fof(f22,plain,(
% 30.56/4.26 ![X0,X1]: (equidistant(X0,X1,X1,X0))),
% 30.56/4.26 inference(cnf_transformation,[status(esa)],[f1])).
% 30.56/4.26 fof(f23,plain,(
% 30.56/4.26 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 30.56/4.26 inference(miniscoping,[status(esa)],[f2])).
% 30.56/4.26 fof(f24,plain,(
% 30.56/4.26 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 30.56/4.26 inference(cnf_transformation,[status(esa)],[f23])).
% 30.56/4.26 fof(f25,plain,(
% 30.56/4.26 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 30.56/4.26 inference(miniscoping,[status(esa)],[f3])).
% 30.56/4.26 fof(f26,plain,(
% 30.56/4.26 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 30.56/4.26 inference(cnf_transformation,[status(esa)],[f25])).
% 30.56/4.26 fof(f27,plain,(
% 30.56/4.26 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 30.56/4.26 inference(cnf_transformation,[status(esa)],[f4])).
% 30.56/4.26 fof(f28,plain,(
% 30.56/4.26 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 30.56/4.26 inference(cnf_transformation,[status(esa)],[f5])).
% 30.56/4.26 fof(f29,plain,(
% 30.56/4.26 ![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))),
% 30.56/4.26 inference(miniscoping,[status(esa)],[f6])).
% 30.56/4.26 fof(f30,plain,(
% 30.56/4.26 ![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))),
% 30.56/4.26 inference(cnf_transformation,[status(esa)],[f29])).
% 30.56/4.26 fof(f31,plain,(
% 30.56/4.26 ![X0,X1]: (~between(X0,X1,X0)|X0=X1)),
% 30.56/4.26 inference(cnf_transformation,[status(esa)],[f7])).
% 30.56/4.26 fof(f32,plain,(
% 30.56/4.26 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X1,inner_pasch(X0,X1,X2,X4,X3),X3))),
% 30.56/4.26 inference(cnf_transformation,[status(esa)],[f8])).
% 30.56/4.26 fof(f33,plain,(
% 30.56/4.26 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X4,inner_pasch(X0,X1,X2,X4,X3),X0))),
% 30.56/4.26 inference(cnf_transformation,[status(esa)],[f9])).
% 30.56/4.26 fof(f44,plain,(
% 30.56/4.26 between(u,v,w)),
% 30.56/4.26 inference(cnf_transformation,[status(esa)],[f19])).
% 30.56/4.26 fof(f45,plain,(
% 30.56/4.26 equidistant(u,v,u,w)),
% 30.56/4.26 inference(cnf_transformation,[status(esa)],[f20])).
% 30.56/4.26 fof(f46,plain,(
% 30.56/4.26 ~v=w),
% 30.56/4.26 inference(cnf_transformation,[status(esa)],[f21])).
% 30.56/4.26 fof(f47,plain,(
% 30.56/4.26 ![X0,X1,X2,X3,X4]: (X0=X1|~equidistant(X2,X3,X0,X1)|~equidistant(X2,X3,X4,X4))),
% 30.56/4.26 inference(resolution,[status(thm)],[f26,f24])).
% 30.56/4.26 fof(f48,plain,(
% 30.56/4.26 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 30.56/4.26 inference(resolution,[status(thm)],[f28,f26])).
% 30.56/4.26 fof(f50,plain,(
% 30.56/4.26 ![X0,X1]: (between(X0,X1,X1))),
% 30.56/4.26 inference(paramodulation,[status(thm)],[f48,f27])).
% 30.56/4.26 fof(f51,plain,(
% 30.56/4.26 ![X0,X1,X2,X3,X4]: (X0=X1|~equidistant(X2,extension(X3,X2,X4,X4),X0,X1))),
% 30.56/4.26 inference(resolution,[status(thm)],[f47,f28])).
% 30.56/4.26 fof(f52,plain,(
% 30.56/4.26 ![X0,X1,X2]: (X0=X1|~equidistant(X2,X2,X0,X1))),
% 30.56/4.26 inference(forward_demodulation,[status(thm)],[f48,f51])).
% 30.56/4.26 fof(f103,plain,(
% 30.56/4.26 spl0_0 <=> equidistant(u,v,u,w)),
% 30.56/4.26 introduced(split_symbol_definition)).
% 30.56/4.26 fof(f105,plain,(
% 30.56/4.26 ~equidistant(u,v,u,w)|spl0_0),
% 30.56/4.26 inference(component_clause,[status(thm)],[f103])).
% 30.56/4.26 fof(f121,plain,(
% 30.56/4.26 $false|spl0_0),
% 30.56/4.26 inference(forward_subsumption_resolution,[status(thm)],[f105,f45])).
% 30.56/4.26 fof(f122,plain,(
% 30.56/4.26 spl0_0),
% 30.56/4.26 inference(contradiction_clause,[status(thm)],[f121])).
% 30.56/4.26 fof(f140,plain,(
% 30.56/4.26 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X3,X2)|X1=inner_pasch(X0,X1,X2,X3,X1))),
% 30.56/4.26 inference(resolution,[status(thm)],[f32,f31])).
% 30.56/4.26 fof(f144,plain,(
% 30.56/4.26 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X3,X0,X2)|X0=inner_pasch(X0,X1,X2,X0,X3))),
% 30.56/4.26 inference(resolution,[status(thm)],[f33,f31])).
% 30.56/4.26 fof(f152,plain,(
% 30.56/4.26 spl0_4 <=> equidistant(u,w,u,v)),
% 30.56/4.26 introduced(split_symbol_definition)).
% 30.56/4.26 fof(f154,plain,(
% 30.56/4.26 ~equidistant(u,w,u,v)|spl0_4),
% 30.56/4.26 inference(component_clause,[status(thm)],[f152])).
% 30.56/4.26 fof(f222,plain,(
% 30.56/4.26 spl0_9 <=> between(u,v,w)),
% 30.56/4.26 introduced(split_symbol_definition)).
% 30.56/4.26 fof(f224,plain,(
% 30.56/4.26 ~between(u,v,w)|spl0_9),
% 30.56/4.26 inference(component_clause,[status(thm)],[f222])).
% 30.56/4.26 fof(f225,plain,(
% 30.56/4.26 spl0_10 <=> between(v,w,w)),
% 30.56/4.26 introduced(split_symbol_definition)).
% 30.56/4.26 fof(f227,plain,(
% 30.56/4.26 ~between(v,w,w)|spl0_10),
% 30.56/4.26 inference(component_clause,[status(thm)],[f225])).
% 30.56/4.26 fof(f247,plain,(
% 30.56/4.26 spl0_12 <=> v=u),
% 30.56/4.26 introduced(split_symbol_definition)).
% 30.56/4.26 fof(f248,plain,(
% 30.56/4.26 v=u|~spl0_12),
% 30.56/4.26 inference(component_clause,[status(thm)],[f247])).
% 30.56/4.26 fof(f279,plain,(
% 30.56/4.26 equidistant(u,u,u,w)|~spl0_12),
% 30.56/4.26 inference(backward_demodulation,[status(thm)],[f248,f45])).
% 30.56/4.26 fof(f345,plain,(
% 30.56/4.26 ~u=w|~spl0_12),
% 30.56/4.26 inference(backward_demodulation,[status(thm)],[f248,f46])).
% 30.56/4.26 fof(f406,plain,(
% 30.56/4.26 u=w|~spl0_12),
% 30.56/4.26 inference(resolution,[status(thm)],[f279,f52])).
% 30.56/4.26 fof(f407,plain,(
% 30.56/4.26 $false|~spl0_12),
% 30.56/4.26 inference(forward_subsumption_resolution,[status(thm)],[f406,f345])).
% 30.56/4.26 fof(f408,plain,(
% 30.56/4.26 ~spl0_12),
% 30.56/4.26 inference(contradiction_clause,[status(thm)],[f407])).
% 30.56/4.26 fof(f446,plain,(
% 30.56/4.26 ![X0]: (~between(X0,u,w)|u=inner_pasch(X0,u,w,v,u))),
% 30.56/4.26 inference(resolution,[status(thm)],[f140,f44])).
% 30.56/4.26 fof(f451,plain,(
% 30.56/4.26 ![X0,X1,X2]: (~between(X0,X1,X2)|X1=inner_pasch(X0,X1,X2,X2,X1))),
% 30.56/4.26 inference(resolution,[status(thm)],[f140,f50])).
% 30.56/4.26 fof(f452,plain,(
% 30.56/4.26 v=inner_pasch(u,v,w,w,v)),
% 30.56/4.26 inference(resolution,[status(thm)],[f451,f44])).
% 30.56/4.26 fof(f493,plain,(
% 30.56/4.26 spl0_20 <=> between(w,v,u)),
% 30.56/4.26 introduced(split_symbol_definition)).
% 30.56/4.26 fof(f494,plain,(
% 30.56/4.26 between(w,v,u)|~spl0_20),
% 30.56/4.26 inference(component_clause,[status(thm)],[f493])).
% 30.56/4.26 fof(f496,plain,(
% 30.56/4.26 ~between(u,v,w)|~between(v,w,w)|between(w,v,u)),
% 30.56/4.26 inference(paramodulation,[status(thm)],[f452,f33])).
% 30.56/4.26 fof(f497,plain,(
% 30.56/4.26 ~spl0_9|~spl0_10|spl0_20),
% 30.56/4.26 inference(split_clause,[status(thm)],[f496,f222,f225,f493])).
% 30.56/4.26 fof(f502,plain,(
% 30.56/4.26 $false|spl0_10),
% 30.56/4.26 inference(forward_subsumption_resolution,[status(thm)],[f227,f50])).
% 30.56/4.26 fof(f503,plain,(
% 30.56/4.26 spl0_10),
% 30.56/4.26 inference(contradiction_clause,[status(thm)],[f502])).
% 30.56/4.26 fof(f504,plain,(
% 30.56/4.26 $false|spl0_9),
% 30.56/4.26 inference(forward_subsumption_resolution,[status(thm)],[f224,f44])).
% 30.56/4.26 fof(f505,plain,(
% 30.56/4.26 spl0_9),
% 30.56/4.26 inference(contradiction_clause,[status(thm)],[f504])).
% 30.56/4.26 fof(f518,plain,(
% 30.56/4.26 ![X0]: (~between(v,X0,w)|v=inner_pasch(v,X0,w,v,u))),
% 30.56/4.26 inference(resolution,[status(thm)],[f144,f44])).
% 30.56/4.26 fof(f522,plain,(
% 30.56/4.26 ![X0,X1,X2,X3,X4]: (~between(X0,X1,extension(X2,X0,X3,X4))|X0=inner_pasch(X0,X1,extension(X2,X0,X3,X4),X0,X2))),
% 30.56/4.26 inference(resolution,[status(thm)],[f144,f27])).
% 30.56/4.26 fof(f564,plain,(
% 30.56/4.26 ![X0]: (~between(v,X0,u)|v=inner_pasch(v,X0,u,v,w)|~spl0_20)),
% 30.56/4.26 inference(resolution,[status(thm)],[f494,f144])).
% 30.56/4.26 fof(f567,plain,(
% 30.56/4.26 ![X0]: (~between(X0,w,u)|w=inner_pasch(X0,w,u,v,w)|~spl0_20)),
% 30.56/4.26 inference(resolution,[status(thm)],[f494,f140])).
% 30.56/4.26 fof(f613,plain,(
% 30.56/4.26 spl0_28 <=> equidistant(u,v,u,v)),
% 30.56/4.26 introduced(split_symbol_definition)).
% 30.56/4.26 fof(f614,plain,(
% 30.56/4.26 equidistant(u,v,u,v)|~spl0_28),
% 30.56/4.26 inference(component_clause,[status(thm)],[f613])).
% 30.56/4.26 fof(f615,plain,(
% 30.56/4.26 ~equidistant(u,v,u,v)|spl0_28),
% 30.56/4.26 inference(component_clause,[status(thm)],[f613])).
% 30.56/4.26 fof(f626,plain,(
% 30.56/4.26 spl0_30 <=> between(w,u,w)),
% 30.56/4.26 introduced(split_symbol_definition)).
% 30.56/4.26 fof(f627,plain,(
% 30.56/4.26 between(w,u,w)|~spl0_30),
% 30.56/4.26 inference(component_clause,[status(thm)],[f626])).
% 30.56/4.26 fof(f628,plain,(
% 30.56/4.26 ~between(w,u,w)|spl0_30),
% 30.56/4.26 inference(component_clause,[status(thm)],[f626])).
% 30.56/4.26 fof(f677,plain,(
% 30.56/4.26 ![X0,X1]: (~equidistant(X0,X1,u,v)|~equidistant(X0,X1,u,v)|spl0_28)),
% 30.56/4.26 inference(resolution,[status(thm)],[f615,f24])).
% 30.56/4.26 fof(f678,plain,(
% 30.56/4.26 ![X0,X1]: (~equidistant(X0,X1,u,v)|spl0_28)),
% 30.56/4.26 inference(duplicate_literals_removal,[status(esa)],[f677])).
% 30.56/4.26 fof(f679,plain,(
% 30.56/4.26 $false|spl0_28),
% 30.56/4.26 inference(resolution,[status(thm)],[f678,f28])).
% 30.56/4.26 fof(f680,plain,(
% 30.56/4.26 spl0_28),
% 30.56/4.26 inference(contradiction_clause,[status(thm)],[f679])).
% 30.56/4.26 fof(f1213,plain,(
% 30.56/4.26 spl0_50 <=> between(v,u,w)),
% 30.56/4.26 introduced(split_symbol_definition)).
% 30.56/4.26 fof(f1214,plain,(
% 30.56/4.26 between(v,u,w)|~spl0_50),
% 30.56/4.26 inference(component_clause,[status(thm)],[f1213])).
% 30.56/4.26 fof(f1215,plain,(
% 30.56/4.26 ~between(v,u,w)|spl0_50),
% 30.56/4.26 inference(component_clause,[status(thm)],[f1213])).
% 30.56/4.26 fof(f1216,plain,(
% 30.56/4.26 spl0_51 <=> between(u,w,v)),
% 30.56/4.26 introduced(split_symbol_definition)).
% 30.56/4.26 fof(f1218,plain,(
% 30.56/4.26 ~between(u,w,v)|spl0_51),
% 30.56/4.26 inference(component_clause,[status(thm)],[f1216])).
% 30.56/4.26 fof(f1226,plain,(
% 30.56/4.26 v=inner_pasch(v,u,w,v,u)|~spl0_50),
% 30.56/4.26 inference(resolution,[status(thm)],[f1214,f518])).
% 30.56/4.26 fof(f1227,plain,(
% 30.56/4.26 u=inner_pasch(v,u,w,v,u)|~spl0_50),
% 30.56/4.26 inference(resolution,[status(thm)],[f1214,f446])).
% 30.56/4.26 fof(f1243,plain,(
% 30.56/4.26 v=u|~spl0_50),
% 30.56/4.26 inference(backward_demodulation,[status(thm)],[f1227,f1226])).
% 30.56/4.26 fof(f1244,plain,(
% 30.56/4.26 spl0_12|~spl0_50),
% 30.56/4.26 inference(split_clause,[status(thm)],[f1243,f247,f1213])).
% 30.56/4.26 fof(f1247,plain,(
% 30.56/4.26 ![X0,X1]: (~equidistant(X0,X1,u,w)|~equidistant(X0,X1,u,v)|spl0_4)),
% 30.56/4.26 inference(resolution,[status(thm)],[f154,f24])).
% 30.56/4.26 fof(f1306,plain,(
% 30.56/4.26 ~equidistant(u,v,u,w)|spl0_4|~spl0_28),
% 30.56/4.26 inference(resolution,[status(thm)],[f1247,f614])).
% 30.56/4.26 fof(f1307,plain,(
% 30.56/4.26 ~spl0_0|spl0_4|~spl0_28),
% 30.56/4.26 inference(split_clause,[status(thm)],[f1306,f103,f152,f613])).
% 30.56/4.26 fof(f1349,plain,(
% 30.56/4.26 w=u|~spl0_30),
% 30.56/4.26 inference(resolution,[status(thm)],[f627,f31])).
% 30.56/4.26 fof(f1368,plain,(
% 30.56/4.26 ~between(v,u,u)|~spl0_30|spl0_50),
% 30.56/4.26 inference(backward_demodulation,[status(thm)],[f1349,f1215])).
% 30.56/4.26 fof(f1369,plain,(
% 30.56/4.26 $false|~spl0_30|spl0_50),
% 30.56/4.26 inference(forward_subsumption_resolution,[status(thm)],[f1368,f50])).
% 30.56/4.26 fof(f1370,plain,(
% 30.56/4.26 ~spl0_30|spl0_50),
% 30.56/4.26 inference(contradiction_clause,[status(thm)],[f1369])).
% 30.56/4.26 fof(f2697,plain,(
% 30.56/4.26 ![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))),
% 30.56/4.26 inference(resolution,[status(thm)],[f30,f45])).
% 30.56/4.26 fof(f2905,plain,(
% 30.56/4.26 spl0_126 <=> ~equidistant(w,X0,v,X1)|~between(u,w,X0)|~between(u,v,X1)|equidistant(X0,v,X1,w)),
% 30.56/4.26 introduced(split_symbol_definition)).
% 30.56/4.26 fof(f2906,plain,(
% 30.56/4.26 ![X0,X1]: (~equidistant(w,X0,v,X1)|~between(u,w,X0)|~between(u,v,X1)|equidistant(X0,v,X1,w)|~spl0_126)),
% 30.56/4.26 inference(component_clause,[status(thm)],[f2905])).
% 30.56/4.26 fof(f2908,plain,(
% 30.56/4.26 spl0_127 <=> u=w),
% 30.56/4.26 introduced(split_symbol_definition)).
% 30.56/4.26 fof(f2909,plain,(
% 30.56/4.26 u=w|~spl0_127),
% 30.56/4.26 inference(component_clause,[status(thm)],[f2908])).
% 30.56/4.26 fof(f2911,plain,(
% 30.56/4.26 ![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))),
% 30.56/4.26 inference(resolution,[status(thm)],[f2697,f22])).
% 30.56/4.26 fof(f2912,plain,(
% 30.56/4.26 ~spl0_4|spl0_126|spl0_127),
% 30.56/4.26 inference(split_clause,[status(thm)],[f2911,f152,f2905,f2908])).
% 30.56/4.26 fof(f3067,plain,(
% 30.56/4.26 ![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_126)),
% 30.56/4.28 inference(resolution,[status(thm)],[f2906,f27])).
% 30.56/4.28 fof(f3130,plain,(
% 30.56/4.28 ![X0]: (~between(u,v,X0)|equidistant(extension(u,w,v,X0),v,X0,w)|~spl0_126)),
% 30.56/4.28 inference(resolution,[status(thm)],[f3067,f28])).
% 30.56/4.28 fof(f3769,plain,(
% 30.56/4.28 equidistant(extension(u,w,v,w),v,w,w)|~spl0_126),
% 30.56/4.28 inference(resolution,[status(thm)],[f3130,f44])).
% 30.56/4.28 fof(f3813,plain,(
% 30.56/4.28 extension(u,w,v,w)=v|~spl0_126),
% 30.56/4.28 inference(resolution,[status(thm)],[f3769,f26])).
% 30.56/4.28 fof(f3865,plain,(
% 30.56/4.28 ![X0]: (~between(w,X0,v)|w=inner_pasch(w,X0,extension(u,w,v,w),w,u)|~spl0_126)),
% 30.56/4.28 inference(paramodulation,[status(thm)],[f3813,f522])).
% 30.56/4.28 fof(f3866,plain,(
% 30.56/4.28 ![X0]: (~between(w,X0,v)|w=inner_pasch(w,X0,v,w,u)|~spl0_126)),
% 30.56/4.28 inference(forward_demodulation,[status(thm)],[f3813,f3865])).
% 30.56/4.28 fof(f3898,plain,(
% 30.56/4.28 between(u,w,v)|~spl0_126),
% 30.56/4.28 inference(paramodulation,[status(thm)],[f3813,f27])).
% 30.56/4.28 fof(f4103,plain,(
% 30.56/4.28 $false|~spl0_126|spl0_51),
% 30.56/4.28 inference(forward_subsumption_resolution,[status(thm)],[f1218,f3898])).
% 30.56/4.28 fof(f4104,plain,(
% 30.56/4.28 ~spl0_126|spl0_51),
% 30.56/4.28 inference(contradiction_clause,[status(thm)],[f4103])).
% 30.56/4.28 fof(f4273,plain,(
% 30.56/4.28 w=inner_pasch(w,v,v,w,u)|~spl0_126),
% 30.56/4.28 inference(resolution,[status(thm)],[f3866,f50])).
% 30.56/4.28 fof(f4274,plain,(
% 30.56/4.28 spl0_146 <=> between(w,v,v)),
% 30.56/4.28 introduced(split_symbol_definition)).
% 30.56/4.28 fof(f4276,plain,(
% 30.56/4.28 ~between(w,v,v)|spl0_146),
% 30.56/4.28 inference(component_clause,[status(thm)],[f4274])).
% 30.56/4.28 fof(f4279,plain,(
% 30.56/4.28 spl0_147 <=> between(v,w,u)),
% 30.56/4.28 introduced(split_symbol_definition)).
% 30.56/4.28 fof(f4280,plain,(
% 30.56/4.28 between(v,w,u)|~spl0_147),
% 30.56/4.28 inference(component_clause,[status(thm)],[f4279])).
% 30.56/4.28 fof(f4282,plain,(
% 30.56/4.28 ~between(w,v,v)|~between(u,w,v)|between(v,w,u)|~spl0_126),
% 30.56/4.28 inference(paramodulation,[status(thm)],[f4273,f32])).
% 30.56/4.28 fof(f4283,plain,(
% 30.56/4.28 ~spl0_146|~spl0_51|spl0_147|~spl0_126),
% 30.56/4.28 inference(split_clause,[status(thm)],[f4282,f4274,f1216,f4279,f2905])).
% 30.56/4.28 fof(f4284,plain,(
% 30.56/4.28 $false|spl0_146),
% 30.56/4.28 inference(forward_subsumption_resolution,[status(thm)],[f4276,f50])).
% 30.56/4.28 fof(f4285,plain,(
% 30.56/4.28 spl0_146),
% 30.56/4.28 inference(contradiction_clause,[status(thm)],[f4284])).
% 30.56/4.28 fof(f4286,plain,(
% 30.56/4.28 v=inner_pasch(v,w,u,v,w)|~spl0_147|~spl0_20),
% 30.56/4.28 inference(resolution,[status(thm)],[f4280,f564])).
% 30.56/4.28 fof(f4287,plain,(
% 30.56/4.28 w=inner_pasch(v,w,u,v,w)|~spl0_147|~spl0_20),
% 30.56/4.28 inference(resolution,[status(thm)],[f4280,f567])).
% 30.56/4.28 fof(f4288,plain,(
% 30.56/4.28 w=v|~spl0_147|~spl0_20),
% 30.56/4.28 inference(forward_demodulation,[status(thm)],[f4286,f4287])).
% 30.56/4.28 fof(f4289,plain,(
% 30.56/4.28 $false|~spl0_147|~spl0_20),
% 30.56/4.28 inference(forward_subsumption_resolution,[status(thm)],[f4288,f46])).
% 30.56/4.28 fof(f4290,plain,(
% 30.56/4.28 ~spl0_147|~spl0_20),
% 30.56/4.28 inference(contradiction_clause,[status(thm)],[f4289])).
% 30.56/4.28 fof(f4303,plain,(
% 30.56/4.28 ~between(w,u,u)|~spl0_127|spl0_30),
% 30.56/4.28 inference(backward_demodulation,[status(thm)],[f2909,f628])).
% 30.56/4.28 fof(f4304,plain,(
% 30.56/4.28 $false|~spl0_127|spl0_30),
% 30.56/4.28 inference(forward_subsumption_resolution,[status(thm)],[f4303,f50])).
% 30.56/4.28 fof(f4305,plain,(
% 30.56/4.28 ~spl0_127|spl0_30),
% 30.56/4.28 inference(contradiction_clause,[status(thm)],[f4304])).
% 30.56/4.28 fof(f4306,plain,(
% 30.56/4.28 $false),
% 30.56/4.28 inference(sat_refutation,[status(thm)],[f122,f408,f497,f503,f505,f680,f1244,f1307,f1370,f2912,f4104,f4283,f4285,f4290,f4305])).
% 30.56/4.28 % SZS output end CNFRefutation for theBenchmark.p
% 31.11/4.37 % Elapsed time: 4.013113 seconds
% 31.11/4.37 % CPU time: 31.341679 seconds
% 31.11/4.37 % Total memory used: 277.700 MB
% 31.11/4.37 % Net memory used: 271.740 MB
%------------------------------------------------------------------------------