TSTP Solution File: GEO007-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO007-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 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 12:07:23 EDT 2023
% Result : Unsatisfiable 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO007-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.33 % Computer : n001.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 30 12:30:15 EDT 2023
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % Drodi V3.5.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.49 fof(f1,axiom,(
% 0.19/0.49 (![X,Y]: (( ~ between(X,Y,X)| X = Y ) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f2,axiom,(
% 0.19/0.49 (![X,Y,V,Z]: (( ~ between(X,Y,V)| ~ between(Y,Z,V)| between(X,Y,Z) ) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f3,axiom,(
% 0.19/0.49 (![X,Y,Z,V]: (( ~ between(X,Y,Z)| ~ between(X,Y,V)| X = Y| between(X,Z,V)| between(X,V,Z) ) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f5,axiom,(
% 0.19/0.49 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f7,axiom,(
% 0.19/0.49 (![X,W,V,Y,Z]: (( ~ between(X,W,V)| ~ between(Y,V,Z)| between(X,outer_pasch(W,X,Y,Z,V),Y) ) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f8,axiom,(
% 0.19/0.49 (![X,W,V,Y,Z]: (( ~ between(X,W,V)| ~ between(Y,V,Z)| between(Z,W,outer_pasch(W,X,Y,Z,V)) ) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f13,axiom,(
% 0.19/0.49 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f14,axiom,(
% 0.19/0.49 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f21,hypothesis,(
% 0.19/0.49 a != c ),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f22,hypothesis,(
% 0.19/0.49 between(d,a,c) ),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f23,hypothesis,(
% 0.19/0.49 between(e,a,c) ),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f24,hypothesis,(
% 0.19/0.49 ~ between(d,e,a) ),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f25,negated_conjecture,(
% 0.19/0.49 ~ between(e,d,a) ),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f26,plain,(
% 0.19/0.49 ![X0,X1]: (~between(X0,X1,X0)|X0=X1)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f1])).
% 0.19/0.49 fof(f27,plain,(
% 0.19/0.49 ![X,Y,Z]: ((![V]: (~between(X,Y,V)|~between(Y,Z,V)))|between(X,Y,Z))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f2])).
% 0.19/0.49 fof(f28,plain,(
% 0.19/0.49 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X3,X2)|between(X0,X1,X3))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f27])).
% 0.19/0.49 fof(f29,plain,(
% 0.19/0.49 ![X,Z,V]: (((![Y]: ((~between(X,Y,Z)|~between(X,Y,V))|X=Y))|between(X,Z,V))|between(X,V,Z))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f3])).
% 0.19/0.49 fof(f30,plain,(
% 0.19/0.49 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X1,X3)|X0=X1|between(X0,X2,X3)|between(X0,X3,X2))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f29])).
% 0.19/0.49 fof(f32,plain,(
% 0.19/0.49 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f5])).
% 0.19/0.49 fof(f33,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f32])).
% 0.19/0.49 fof(f36,plain,(
% 0.19/0.49 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X2,X4)|between(X0,outer_pasch(X1,X0,X3,X4,X2),X3))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f7])).
% 0.19/0.49 fof(f37,plain,(
% 0.19/0.49 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X2,X4)|between(X4,X1,outer_pasch(X1,X0,X3,X4,X2)))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.49 fof(f43,plain,(
% 0.19/0.49 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f13])).
% 0.19/0.49 fof(f44,plain,(
% 0.19/0.49 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f14])).
% 0.19/0.49 fof(f52,plain,(
% 0.19/0.49 ~a=c),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f21])).
% 0.19/0.49 fof(f53,plain,(
% 0.19/0.49 between(d,a,c)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f22])).
% 0.19/0.49 fof(f54,plain,(
% 0.19/0.49 between(e,a,c)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f23])).
% 0.19/0.49 fof(f55,plain,(
% 0.19/0.49 ~between(d,e,a)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f24])).
% 0.19/0.49 fof(f56,plain,(
% 0.19/0.49 ~between(e,d,a)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f25])).
% 0.19/0.49 fof(f57,plain,(
% 0.19/0.49 ![X0]: (~between(X0,e,c)|between(X0,e,a))),
% 0.19/0.49 inference(resolution,[status(thm)],[f28,f54])).
% 0.19/0.49 fof(f58,plain,(
% 0.19/0.49 ![X0]: (~between(X0,d,c)|between(X0,d,a))),
% 0.19/0.49 inference(resolution,[status(thm)],[f28,f53])).
% 0.19/0.49 fof(f67,plain,(
% 0.19/0.49 spl0_2 <=> ~between(d,a,X0)|between(d,X0,c)|between(d,c,X0)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f68,plain,(
% 0.19/0.49 ![X0]: (~between(d,a,X0)|between(d,X0,c)|between(d,c,X0)|~spl0_2)),
% 0.19/0.49 inference(component_clause,[status(thm)],[f67])).
% 0.19/0.49 fof(f70,plain,(
% 0.19/0.49 spl0_3 <=> d=a),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f71,plain,(
% 0.19/0.49 d=a|~spl0_3),
% 0.19/0.49 inference(component_clause,[status(thm)],[f70])).
% 0.19/0.49 fof(f73,plain,(
% 0.19/0.49 ![X0]: (~between(d,a,X0)|d=a|between(d,X0,c)|between(d,c,X0))),
% 0.19/0.49 inference(resolution,[status(thm)],[f30,f53])).
% 0.19/0.49 fof(f74,plain,(
% 0.19/0.49 spl0_2|spl0_3),
% 0.19/0.49 inference(split_clause,[status(thm)],[f73,f67,f70])).
% 0.19/0.49 fof(f89,plain,(
% 0.19/0.49 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 0.19/0.49 inference(resolution,[status(thm)],[f44,f33])).
% 0.19/0.49 fof(f91,plain,(
% 0.19/0.49 ![X0,X1]: (between(X0,X1,X1))),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f89,f43])).
% 0.19/0.49 fof(f111,plain,(
% 0.19/0.49 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X2,X3)|X0=outer_pasch(X1,X0,X0,X3,X2))),
% 0.19/0.49 inference(resolution,[status(thm)],[f36,f26])).
% 0.19/0.49 fof(f125,plain,(
% 0.19/0.49 ~between(e,a,a)|~spl0_3),
% 0.19/0.49 inference(backward_demodulation,[status(thm)],[f71,f56])).
% 0.19/0.49 fof(f126,plain,(
% 0.19/0.49 $false|~spl0_3),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f125,f91])).
% 0.19/0.49 fof(f127,plain,(
% 0.19/0.49 ~spl0_3),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f126])).
% 0.19/0.49 fof(f149,plain,(
% 0.19/0.49 spl0_9 <=> between(d,a,c)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f151,plain,(
% 0.19/0.49 ~between(d,a,c)|spl0_9),
% 0.19/0.49 inference(component_clause,[status(thm)],[f149])).
% 0.19/0.49 fof(f161,plain,(
% 0.19/0.49 spl0_11 <=> between(e,a,c)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f163,plain,(
% 0.19/0.49 ~between(e,a,c)|spl0_11),
% 0.19/0.49 inference(component_clause,[status(thm)],[f161])).
% 0.19/0.49 fof(f169,plain,(
% 0.19/0.49 spl0_13 <=> between(d,c,c)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f179,plain,(
% 0.19/0.49 spl0_14 <=> between(e,c,c)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f181,plain,(
% 0.19/0.49 ~between(e,c,c)|spl0_14),
% 0.19/0.49 inference(component_clause,[status(thm)],[f179])).
% 0.19/0.49 fof(f290,plain,(
% 0.19/0.49 spl0_27 <=> c=a),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f291,plain,(
% 0.19/0.49 c=a|~spl0_27),
% 0.19/0.49 inference(component_clause,[status(thm)],[f290])).
% 0.19/0.49 fof(f308,plain,(
% 0.19/0.49 $false|~spl0_27),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f291,f52])).
% 0.19/0.49 fof(f309,plain,(
% 0.19/0.49 ~spl0_27),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f308])).
% 0.19/0.49 fof(f444,plain,(
% 0.19/0.49 ![X0]: (~between(e,X0,a)|e=outer_pasch(X0,e,e,c,a))),
% 0.19/0.49 inference(resolution,[status(thm)],[f111,f54])).
% 0.19/0.49 fof(f450,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~between(X0,X1,X2)|X0=outer_pasch(X1,X0,X0,X2,X2))),
% 0.19/0.49 inference(resolution,[status(thm)],[f111,f91])).
% 0.19/0.49 fof(f451,plain,(
% 0.19/0.49 d=outer_pasch(a,d,d,c,c)),
% 0.19/0.49 inference(resolution,[status(thm)],[f450,f53])).
% 0.19/0.49 fof(f452,plain,(
% 0.19/0.49 e=outer_pasch(a,e,e,c,c)),
% 0.19/0.49 inference(resolution,[status(thm)],[f450,f54])).
% 0.19/0.49 fof(f458,plain,(
% 0.19/0.49 ![X0,X1]: (X0=outer_pasch(X1,X0,X0,X1,X1))),
% 0.19/0.49 inference(resolution,[status(thm)],[f450,f91])).
% 0.19/0.49 fof(f459,plain,(
% 0.19/0.49 ![X0,X1]: (~between(X0,X1,X1)|~between(X0,X1,X1)|between(X1,X1,X0))),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f458,f37])).
% 0.19/0.49 fof(f460,plain,(
% 0.19/0.49 ![X0,X1]: (~between(X0,X1,X1)|between(X1,X1,X0))),
% 0.19/0.49 inference(duplicate_literals_removal,[status(esa)],[f459])).
% 0.19/0.49 fof(f461,plain,(
% 0.19/0.49 ![X0,X1]: (between(X0,X0,X1))),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f460,f91])).
% 0.19/0.49 fof(f504,plain,(
% 0.19/0.49 spl0_44 <=> between(c,a,d)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f505,plain,(
% 0.19/0.49 between(c,a,d)|~spl0_44),
% 0.19/0.49 inference(component_clause,[status(thm)],[f504])).
% 0.19/0.49 fof(f507,plain,(
% 0.19/0.49 ~between(d,a,c)|~between(d,c,c)|between(c,a,d)),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f451,f37])).
% 0.19/0.49 fof(f508,plain,(
% 0.19/0.49 ~spl0_9|~spl0_13|spl0_44),
% 0.19/0.49 inference(split_clause,[status(thm)],[f507,f149,f169,f504])).
% 0.19/0.49 fof(f527,plain,(
% 0.19/0.49 spl0_49 <=> between(c,a,e)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f528,plain,(
% 0.19/0.49 between(c,a,e)|~spl0_49),
% 0.19/0.49 inference(component_clause,[status(thm)],[f527])).
% 0.19/0.49 fof(f530,plain,(
% 0.19/0.49 ~between(e,a,c)|~between(e,c,c)|between(c,a,e)),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f452,f37])).
% 0.19/0.49 fof(f531,plain,(
% 0.19/0.49 ~spl0_11|~spl0_14|spl0_49),
% 0.19/0.49 inference(split_clause,[status(thm)],[f530,f161,f179,f527])).
% 0.19/0.49 fof(f573,plain,(
% 0.19/0.49 spl0_53 <=> between(c,d,d)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f594,plain,(
% 0.19/0.49 e=outer_pasch(e,e,e,c,a)),
% 0.19/0.49 inference(resolution,[status(thm)],[f444,f461])).
% 0.19/0.49 fof(f596,plain,(
% 0.19/0.49 spl0_55 <=> between(e,e,a)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f598,plain,(
% 0.19/0.49 ~between(e,e,a)|spl0_55),
% 0.19/0.49 inference(component_clause,[status(thm)],[f596])).
% 0.19/0.49 fof(f606,plain,(
% 0.19/0.49 spl0_57 <=> between(c,e,e)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f609,plain,(
% 0.19/0.49 ~between(e,e,a)|~between(e,a,c)|between(c,e,e)),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f594,f37])).
% 0.19/0.49 fof(f610,plain,(
% 0.19/0.49 ~spl0_55|~spl0_11|spl0_57),
% 0.19/0.49 inference(split_clause,[status(thm)],[f609,f596,f161,f606])).
% 0.19/0.49 fof(f613,plain,(
% 0.19/0.49 $false|spl0_55),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f598,f461])).
% 0.19/0.49 fof(f614,plain,(
% 0.19/0.49 spl0_55),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f613])).
% 0.19/0.49 fof(f615,plain,(
% 0.19/0.49 $false|spl0_11),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f163,f54])).
% 0.19/0.49 fof(f616,plain,(
% 0.19/0.49 spl0_11),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f615])).
% 0.19/0.49 fof(f621,plain,(
% 0.19/0.49 $false|spl0_14),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f181,f91])).
% 0.19/0.49 fof(f622,plain,(
% 0.19/0.49 spl0_14),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f621])).
% 0.19/0.49 fof(f681,plain,(
% 0.19/0.49 between(d,c,c)|between(d,c,c)|~spl0_2),
% 0.19/0.49 inference(resolution,[status(thm)],[f68,f53])).
% 0.19/0.49 fof(f682,plain,(
% 0.19/0.49 spl0_13|~spl0_2),
% 0.19/0.49 inference(split_clause,[status(thm)],[f681,f169,f67])).
% 0.19/0.49 fof(f698,plain,(
% 0.19/0.49 spl0_60 <=> ~between(c,a,X0)|between(c,X0,d)|between(c,d,X0)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f699,plain,(
% 0.19/0.49 ![X0]: (~between(c,a,X0)|between(c,X0,d)|between(c,d,X0)|~spl0_60)),
% 0.19/0.49 inference(component_clause,[status(thm)],[f698])).
% 0.19/0.49 fof(f701,plain,(
% 0.19/0.49 ![X0]: (~between(c,a,X0)|c=a|between(c,X0,d)|between(c,d,X0)|~spl0_44)),
% 0.19/0.49 inference(resolution,[status(thm)],[f505,f30])).
% 0.19/0.49 fof(f702,plain,(
% 0.19/0.49 spl0_60|spl0_27|~spl0_44),
% 0.19/0.49 inference(split_clause,[status(thm)],[f701,f698,f290,f504])).
% 0.19/0.49 fof(f796,plain,(
% 0.19/0.49 between(c,d,d)|between(c,d,d)|~spl0_60|~spl0_44),
% 0.19/0.49 inference(resolution,[status(thm)],[f699,f505])).
% 0.19/0.49 fof(f797,plain,(
% 0.19/0.49 spl0_53|~spl0_60|~spl0_44),
% 0.19/0.49 inference(split_clause,[status(thm)],[f796,f573,f698,f504])).
% 0.19/0.49 fof(f1450,plain,(
% 0.19/0.49 spl0_112 <=> between(c,e,d)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f1451,plain,(
% 0.19/0.49 between(c,e,d)|~spl0_112),
% 0.19/0.49 inference(component_clause,[status(thm)],[f1450])).
% 0.19/0.49 fof(f1453,plain,(
% 0.19/0.49 spl0_113 <=> between(c,d,e)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f1454,plain,(
% 0.19/0.49 between(c,d,e)|~spl0_113),
% 0.19/0.49 inference(component_clause,[status(thm)],[f1453])).
% 0.19/0.49 fof(f1456,plain,(
% 0.19/0.49 between(c,e,d)|between(c,d,e)|~spl0_49|~spl0_60),
% 0.19/0.49 inference(resolution,[status(thm)],[f528,f699])).
% 0.19/0.49 fof(f1457,plain,(
% 0.19/0.49 spl0_112|spl0_113|~spl0_49|~spl0_60),
% 0.19/0.49 inference(split_clause,[status(thm)],[f1456,f1450,f1453,f527,f698])).
% 0.19/0.49 fof(f1529,plain,(
% 0.19/0.49 c=outer_pasch(e,c,c,d,d)|~spl0_112),
% 0.19/0.49 inference(resolution,[status(thm)],[f1451,f450])).
% 0.19/0.49 fof(f1542,plain,(
% 0.19/0.49 $false|spl0_9),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f151,f53])).
% 0.19/0.49 fof(f1543,plain,(
% 0.19/0.49 spl0_9),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f1542])).
% 0.19/0.49 fof(f1755,plain,(
% 0.19/0.49 spl0_142 <=> between(d,e,c)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f1756,plain,(
% 0.19/0.49 between(d,e,c)|~spl0_142),
% 0.19/0.49 inference(component_clause,[status(thm)],[f1755])).
% 0.19/0.49 fof(f1758,plain,(
% 0.19/0.49 ~between(c,e,d)|~between(c,d,d)|between(d,e,c)|~spl0_112),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f1529,f37])).
% 0.19/0.49 fof(f1759,plain,(
% 0.19/0.49 ~spl0_112|~spl0_53|spl0_142),
% 0.19/0.49 inference(split_clause,[status(thm)],[f1758,f1450,f573,f1755])).
% 0.19/0.49 fof(f1849,plain,(
% 0.19/0.49 between(d,e,a)|~spl0_142),
% 0.19/0.49 inference(resolution,[status(thm)],[f57,f1756])).
% 0.19/0.49 fof(f1850,plain,(
% 0.19/0.49 $false|~spl0_142),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1849,f55])).
% 0.19/0.49 fof(f1851,plain,(
% 0.19/0.49 ~spl0_142),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f1850])).
% 0.19/0.49 fof(f2365,plain,(
% 0.19/0.49 c=outer_pasch(d,c,c,e,e)|~spl0_113),
% 0.19/0.49 inference(resolution,[status(thm)],[f1454,f450])).
% 0.19/0.49 fof(f2448,plain,(
% 0.19/0.49 spl0_165 <=> between(e,d,c)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f2449,plain,(
% 0.19/0.50 between(e,d,c)|~spl0_165),
% 0.19/0.50 inference(component_clause,[status(thm)],[f2448])).
% 0.19/0.50 fof(f2451,plain,(
% 0.19/0.50 ~between(c,d,e)|~between(c,e,e)|between(e,d,c)|~spl0_113),
% 0.19/0.50 inference(paramodulation,[status(thm)],[f2365,f37])).
% 0.19/0.50 fof(f2452,plain,(
% 0.19/0.50 ~spl0_113|~spl0_57|spl0_165),
% 0.19/0.50 inference(split_clause,[status(thm)],[f2451,f1453,f606,f2448])).
% 0.19/0.50 fof(f2455,plain,(
% 0.19/0.50 between(e,d,a)|~spl0_165),
% 0.19/0.50 inference(resolution,[status(thm)],[f2449,f58])).
% 0.19/0.50 fof(f2456,plain,(
% 0.19/0.50 $false|~spl0_165),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f2455,f56])).
% 0.19/0.50 fof(f2457,plain,(
% 0.19/0.50 ~spl0_165),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f2456])).
% 0.19/0.50 fof(f2458,plain,(
% 0.19/0.50 $false),
% 0.19/0.50 inference(sat_refutation,[status(thm)],[f74,f127,f309,f508,f531,f610,f614,f616,f622,f682,f702,f797,f1457,f1543,f1759,f1851,f2452,f2457])).
% 0.19/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.50 % Elapsed time: 0.165929 seconds
% 0.19/0.50 % CPU time: 1.203106 seconds
% 0.19/0.50 % Memory used: 54.096 MB
%------------------------------------------------------------------------------