TSTP Solution File: LCL082-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL082-1 : 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 12:18:12 EDT 2023
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL082-1 : 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 : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:46:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (![X,Y,Z,U]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,negated_conjecture,(
% 0.13/0.38 ~ is_a_theorem(implies(a,implies(b,a))) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,plain,(
% 0.13/0.38 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f1])).
% 0.13/0.38 fof(f5,plain,(
% 0.13/0.38 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f4])).
% 0.13/0.38 fof(f6,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.38 fof(f7,plain,(
% 0.13/0.38 ~is_a_theorem(implies(a,implies(b,a)))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.38 fof(f8,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(X2,X0),implies(X3,X0))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f6,f5])).
% 0.13/0.38 fof(f9,plain,(
% 0.13/0.38 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f8,f6])).
% 0.13/0.38 fof(f10,plain,(
% 0.13/0.38 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1))))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f9,f8])).
% 0.13/0.38 fof(f11,plain,(
% 0.13/0.38 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))|is_a_theorem(implies(X4,implies(X1,X3))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f9,f5])).
% 0.13/0.38 fof(f13,plain,(
% 0.13/0.38 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X4,X1))))|is_a_theorem(implies(X5,implies(implies(X3,X1),implies(X4,X1)))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f10,f5])).
% 0.13/0.38 fof(f14,plain,(
% 0.13/0.38 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f11,f9])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,implies(X0,X1))),X2),implies(X3,X2))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f14,f8])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 spl0_0 <=> ~is_a_theorem(X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f19,plain,(
% 0.13/0.38 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f18])).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X1,implies(X0,X1))),X2))|is_a_theorem(implies(X3,X2)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f17,f5])).
% 0.13/0.38 fof(f44,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),X2),implies(X3,X2)))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f35,f6])).
% 0.13/0.38 fof(f50,plain,(
% 0.13/0.38 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),X1),implies(X2,X1)),X3),implies(X4,X3))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f44,f8])).
% 0.13/0.38 fof(f81,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f13,f6])).
% 0.13/0.38 fof(f95,plain,(
% 0.13/0.38 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),implies(X2,X0)),X3),implies(X4,X3))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f81,f8])).
% 0.13/0.38 fof(f147,plain,(
% 0.13/0.38 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),X0),implies(X2,X0)),X3))|is_a_theorem(implies(X4,X3)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f95,f5])).
% 0.13/0.38 fof(f164,plain,(
% 0.13/0.38 $false|~spl0_0),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f50,f19])).
% 0.13/0.38 fof(f165,plain,(
% 0.13/0.38 ~spl0_0),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f164])).
% 0.13/0.38 fof(f346,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f147,f9])).
% 0.13/0.38 fof(f367,plain,(
% 0.13/0.38 spl0_19 <=> is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f368,plain,(
% 0.13/0.38 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~spl0_19)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f367])).
% 0.13/0.38 fof(f370,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))))),
% 0.13/0.38 inference(resolution,[status(thm)],[f346,f5])).
% 0.13/0.38 fof(f371,plain,(
% 0.13/0.38 spl0_0|spl0_19),
% 0.13/0.38 inference(split_clause,[status(thm)],[f370,f18,f367])).
% 0.13/0.38 fof(f515,plain,(
% 0.13/0.38 spl0_24 <=> is_a_theorem(implies(X1,implies(X2,X1)))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f516,plain,(
% 0.13/0.38 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_24)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f515])).
% 0.13/0.38 fof(f518,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1)))|~spl0_19)),
% 0.13/0.38 inference(resolution,[status(thm)],[f368,f5])).
% 0.13/0.38 fof(f519,plain,(
% 0.13/0.38 spl0_0|spl0_24|~spl0_19),
% 0.13/0.38 inference(split_clause,[status(thm)],[f518,f18,f515,f367])).
% 0.13/0.38 fof(f520,plain,(
% 0.13/0.38 $false|~spl0_24),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f7,f516])).
% 0.13/0.38 fof(f521,plain,(
% 0.13/0.38 ~spl0_24),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f520])).
% 0.13/0.38 fof(f522,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f165,f371,f519,f521])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.42 % Elapsed time: 0.072613 seconds
% 0.20/0.42 % CPU time: 0.057894 seconds
% 0.20/0.42 % Memory used: 4.854 MB
%------------------------------------------------------------------------------