TSTP Solution File: LCL069-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL069-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:18:09 EDT 2023
% Result : Unsatisfiable 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL069-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 09:52:12 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.52 % Refutation found
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.52 fof(f1,axiom,(
% 0.20/0.52 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f2,axiom,(
% 0.20/0.52 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))) ))),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f3,axiom,(
% 0.20/0.52 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))) ))),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f4,axiom,(
% 0.20/0.52 (![X,Z,Y]: (is_a_theorem(implies(implies(not(X),Z),implies(implies(Y,Z),implies(implies(X,Y),Z)))) ))),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f5,negated_conjecture,(
% 0.20/0.52 ~ is_a_theorem(implies(a,implies(not(a),b))) ),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f6,plain,(
% 0.20/0.52 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.20/0.52 inference(miniscoping,[status(esa)],[f1])).
% 0.20/0.52 fof(f7,plain,(
% 0.20/0.52 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.52 fof(f8,plain,(
% 0.20/0.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.52 fof(f9,plain,(
% 0.20/0.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.52 fof(f10,plain,(
% 0.20/0.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X2,X1),implies(implies(X0,X2),X1)))))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.52 fof(f11,plain,(
% 0.20/0.52 ~is_a_theorem(implies(a,implies(not(a),b)))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.52 fof(f12,plain,(
% 0.20/0.52 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 0.20/0.52 inference(resolution,[status(thm)],[f8,f7])).
% 0.20/0.52 fof(f13,plain,(
% 0.20/0.52 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.20/0.52 inference(resolution,[status(thm)],[f12,f8])).
% 0.20/0.52 fof(f15,plain,(
% 0.20/0.52 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.20/0.52 inference(resolution,[status(thm)],[f13,f7])).
% 0.20/0.52 fof(f17,plain,(
% 0.20/0.52 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(not(X0),X2)))),
% 0.20/0.52 inference(resolution,[status(thm)],[f9,f7])).
% 0.20/0.52 fof(f19,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3)))))),
% 0.20/0.52 inference(resolution,[status(thm)],[f15,f8])).
% 0.20/0.52 fof(f25,plain,(
% 0.20/0.52 spl0_0 <=> ~is_a_theorem(X0)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f26,plain,(
% 0.20/0.52 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 0.20/0.52 inference(component_clause,[status(thm)],[f25])).
% 0.20/0.52 fof(f68,plain,(
% 0.20/0.52 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))))),
% 0.20/0.52 inference(resolution,[status(thm)],[f17,f8])).
% 0.20/0.52 fof(f74,plain,(
% 0.20/0.52 ![X0,X1,X2]: (is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))))),
% 0.20/0.52 inference(resolution,[status(thm)],[f17,f13])).
% 0.20/0.52 fof(f75,plain,(
% 0.20/0.52 ![X0,X1,X2]: (is_a_theorem(implies(not(not(X0)),implies(implies(X1,X2),implies(implies(X0,X1),X2)))))),
% 0.20/0.52 inference(resolution,[status(thm)],[f10,f17])).
% 0.20/0.52 fof(f77,plain,(
% 0.20/0.52 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1))))),
% 0.20/0.52 inference(resolution,[status(thm)],[f10,f7])).
% 0.20/0.52 fof(f91,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(not(implies(X1,X2)),implies(X2,X3)))))),
% 0.20/0.52 inference(resolution,[status(thm)],[f68,f15])).
% 0.20/0.52 fof(f96,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(not(X1),implies(X2,implies(X1,X3))))))),
% 0.20/0.52 inference(resolution,[status(thm)],[f74,f15])).
% 0.20/0.52 fof(f110,plain,(
% 0.20/0.52 spl0_4 <=> is_a_theorem(implies(not(implies(X1,X2)),implies(X2,X3)))),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f111,plain,(
% 0.20/0.52 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2)))|~spl0_4)),
% 0.20/0.52 inference(component_clause,[status(thm)],[f110])).
% 0.20/0.52 fof(f113,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(not(implies(X1,X2)),implies(X2,X3))))),
% 0.20/0.52 inference(resolution,[status(thm)],[f91,f7])).
% 0.20/0.52 fof(f114,plain,(
% 0.20/0.52 spl0_0|spl0_4),
% 0.20/0.52 inference(split_clause,[status(thm)],[f113,f25,f110])).
% 0.20/0.52 fof(f121,plain,(
% 0.20/0.52 spl0_5 <=> is_a_theorem(implies(not(X1),implies(X2,implies(X1,X3))))),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f122,plain,(
% 0.20/0.52 ![X0,X1,X2]: (is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2))))|~spl0_5)),
% 0.20/0.52 inference(component_clause,[status(thm)],[f121])).
% 0.20/0.52 fof(f124,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X1),implies(X2,implies(X1,X3)))))),
% 0.20/0.52 inference(resolution,[status(thm)],[f96,f7])).
% 0.20/0.52 fof(f125,plain,(
% 0.20/0.52 spl0_0|spl0_5),
% 0.20/0.52 inference(split_clause,[status(thm)],[f124,f25,f121])).
% 0.20/0.52 fof(f132,plain,(
% 0.20/0.52 spl0_6 <=> is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f133,plain,(
% 0.20/0.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~spl0_6)),
% 0.20/0.52 inference(component_clause,[status(thm)],[f132])).
% 0.20/0.52 fof(f135,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))))),
% 0.20/0.52 inference(resolution,[status(thm)],[f19,f7])).
% 0.20/0.52 fof(f136,plain,(
% 0.20/0.52 spl0_0|spl0_6),
% 0.20/0.52 inference(split_clause,[status(thm)],[f135,f25,f132])).
% 0.20/0.52 fof(f197,plain,(
% 0.20/0.52 $false|~spl0_0),
% 0.20/0.52 inference(backward_subsumption_resolution,[status(thm)],[f75,f26])).
% 0.20/0.52 fof(f198,plain,(
% 0.20/0.52 ~spl0_0),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f197])).
% 0.20/0.52 fof(f439,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X3,X1),X0),implies(X1,X2))))|~spl0_4)),
% 0.20/0.52 inference(resolution,[status(thm)],[f77,f111])).
% 0.20/0.52 fof(f440,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X2,X0),implies(X1,implies(X2,X3)))))|~spl0_5)),
% 0.20/0.52 inference(resolution,[status(thm)],[f77,f122])).
% 0.20/0.52 fof(f560,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(implies(X3,X1),X0),implies(X1,X2)))|~spl0_4)),
% 0.20/0.52 inference(resolution,[status(thm)],[f439,f7])).
% 0.20/0.52 fof(f603,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X2,X1),X3)),implies(X1,X3)))|~spl0_4|~spl0_6)),
% 0.20/0.52 inference(resolution,[status(thm)],[f560,f133])).
% 0.20/0.52 fof(f611,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),not(X2)),implies(X1,implies(X2,X3))))|~spl0_4|~spl0_5)),
% 0.20/0.52 inference(resolution,[status(thm)],[f560,f122])).
% 0.20/0.52 fof(f654,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))|is_a_theorem(implies(implies(X2,X0),implies(X1,implies(X2,X3))))|~spl0_5)),
% 0.20/0.52 inference(resolution,[status(thm)],[f440,f7])).
% 0.20/0.52 fof(f752,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),X3)))|is_a_theorem(implies(X1,X3))|~spl0_4|~spl0_6)),
% 0.20/0.52 inference(resolution,[status(thm)],[f603,f7])).
% 0.20/0.52 fof(f950,plain,(
% 0.20/0.52 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1)))|~spl0_6|~spl0_4|~spl0_5)),
% 0.20/0.52 inference(resolution,[status(thm)],[f752,f611])).
% 0.20/0.52 fof(f951,plain,(
% 0.20/0.52 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_4|~spl0_6)),
% 0.20/0.52 inference(resolution,[status(thm)],[f752,f133])).
% 0.20/0.52 fof(f1603,plain,(
% 0.20/0.52 spl0_57 <=> is_a_theorem(X1)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f1604,plain,(
% 0.20/0.52 ![X0]: (is_a_theorem(X0)|~spl0_57)),
% 0.20/0.52 inference(component_clause,[status(thm)],[f1603])).
% 0.20/0.52 fof(f1750,plain,(
% 0.20/0.52 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2))))|~spl0_6|~spl0_4|~spl0_5)),
% 0.20/0.52 inference(resolution,[status(thm)],[f654,f950])).
% 0.20/0.52 fof(f2003,plain,(
% 0.20/0.52 $false|~spl0_57),
% 0.20/0.52 inference(backward_subsumption_resolution,[status(thm)],[f11,f1604])).
% 0.20/0.52 fof(f2004,plain,(
% 0.20/0.52 ~spl0_57),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f2003])).
% 0.20/0.52 fof(f5420,plain,(
% 0.20/0.52 ![X0,X1,X2]: (~is_a_theorem(implies(X0,not(X1)))|is_a_theorem(implies(X1,implies(X0,X2)))|~spl0_6|~spl0_4|~spl0_5)),
% 0.20/0.52 inference(resolution,[status(thm)],[f1750,f7])).
% 0.20/0.52 fof(f7438,plain,(
% 0.20/0.52 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1)))|~spl0_5|~spl0_4|~spl0_6)),
% 0.20/0.52 inference(resolution,[status(thm)],[f5420,f951])).
% 0.20/0.52 fof(f7439,plain,(
% 0.20/0.52 $false|~spl0_5|~spl0_4|~spl0_6),
% 0.20/0.52 inference(backward_subsumption_resolution,[status(thm)],[f11,f7438])).
% 0.20/0.52 fof(f7440,plain,(
% 0.20/0.52 ~spl0_5|~spl0_4|~spl0_6),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f7439])).
% 0.20/0.52 fof(f7441,plain,(
% 0.20/0.52 $false),
% 0.20/0.52 inference(sat_refutation,[status(thm)],[f114,f125,f136,f198,f2004,f7440])).
% 0.20/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 1.01/0.54 % Elapsed time: 0.187609 seconds
% 1.01/0.54 % CPU time: 1.060538 seconds
% 1.01/0.54 % Memory used: 45.069 MB
%------------------------------------------------------------------------------