TSTP Solution File: LCL086-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL086-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:18:13 EDT 2023
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL086-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.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 09:06:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![P,Q,R,S,T]: (is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,negated_conjecture,(
% 0.13/0.39 ~ is_a_theorem(implies(a,a)) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,plain,(
% 0.13/0.39 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f1])).
% 0.13/0.39 fof(f5,plain,(
% 0.13/0.39 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f4])).
% 0.13/0.39 fof(f6,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.39 fof(f7,plain,(
% 0.13/0.39 ~is_a_theorem(implies(a,a))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.39 fof(f8,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0)))))),
% 0.13/0.39 inference(resolution,[status(thm)],[f6,f5])).
% 0.13/0.39 fof(f9,plain,(
% 0.13/0.39 spl0_0 <=> ~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(X3,X0),implies(X2,X0)))),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(X3,X0),implies(X2,X0)))|~spl0_0)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f9])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 spl0_1 <=> ~is_a_theorem(X4)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 ![X0]: (~is_a_theorem(X0)|~spl0_1)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f12])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(X4)|is_a_theorem(implies(implies(X3,X0),implies(X2,X0))))),
% 0.13/0.39 inference(resolution,[status(thm)],[f8,f5])).
% 0.13/0.39 fof(f16,plain,(
% 0.13/0.39 spl0_0|spl0_1),
% 0.13/0.39 inference(split_clause,[status(thm)],[f15,f9,f12])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ![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))))|~spl0_0)),
% 0.13/0.39 inference(resolution,[status(thm)],[f10,f6])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ![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)))|~spl0_0)),
% 0.13/0.39 inference(resolution,[status(thm)],[f17,f5])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2)))))|~spl0_0)),
% 0.13/0.39 inference(resolution,[status(thm)],[f20,f17])).
% 0.13/0.39 fof(f26,plain,(
% 0.13/0.39 spl0_2 <=> is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f27,plain,(
% 0.13/0.39 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1))))|~spl0_2)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f26])).
% 0.13/0.39 fof(f29,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))|~spl0_0)),
% 0.13/0.39 inference(resolution,[status(thm)],[f21,f5])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 spl0_1|spl0_2|~spl0_0),
% 0.13/0.39 inference(split_clause,[status(thm)],[f29,f12,f26,f9])).
% 0.13/0.39 fof(f31,plain,(
% 0.13/0.39 $false|~spl0_1),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f6,f13])).
% 0.13/0.39 fof(f32,plain,(
% 0.13/0.39 ~spl0_1),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f31])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0)))|~spl0_0|~spl0_2)),
% 0.13/0.39 inference(resolution,[status(thm)],[f10,f27])).
% 0.13/0.39 fof(f168,plain,(
% 0.13/0.39 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~spl0_0|~spl0_2)),
% 0.13/0.39 inference(resolution,[status(thm)],[f20,f44])).
% 0.13/0.39 fof(f186,plain,(
% 0.13/0.39 spl0_14 <=> is_a_theorem(implies(X1,implies(X2,X1)))),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.39/0.64 fof(f187,plain,(
% 0.39/0.64 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_14)),
% 0.39/0.64 inference(component_clause,[status(thm)],[f186])).
% 0.39/0.64 fof(f189,plain,(
% 0.39/0.64 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1)))|~spl0_0|~spl0_2)),
% 0.39/0.64 inference(resolution,[status(thm)],[f168,f5])).
% 0.39/0.64 fof(f190,plain,(
% 0.39/0.64 spl0_1|spl0_14|~spl0_0|~spl0_2),
% 0.39/0.64 inference(split_clause,[status(thm)],[f189,f12,f186,f9,f26])).
% 0.39/0.64 fof(f192,plain,(
% 0.39/0.64 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))|~spl0_14|~spl0_0)),
% 0.39/0.64 inference(resolution,[status(thm)],[f187,f10])).
% 0.39/0.64 fof(f209,plain,(
% 0.39/0.64 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(X2,X0))|~spl0_14|~spl0_0)),
% 0.39/0.64 inference(resolution,[status(thm)],[f192,f5])).
% 0.39/0.64 fof(f248,plain,(
% 0.39/0.64 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))|~spl0_14|~spl0_0)),
% 0.39/0.64 inference(resolution,[status(thm)],[f209,f192])).
% 0.39/0.64 fof(f266,plain,(
% 0.39/0.64 spl0_17 <=> is_a_theorem(implies(X1,X1))),
% 0.39/0.64 introduced(split_symbol_definition)).
% 0.39/0.64 fof(f267,plain,(
% 0.39/0.64 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_17)),
% 0.39/0.64 inference(component_clause,[status(thm)],[f266])).
% 0.39/0.64 fof(f269,plain,(
% 0.39/0.64 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X1))|~spl0_14|~spl0_0)),
% 0.39/0.64 inference(resolution,[status(thm)],[f248,f5])).
% 0.39/0.64 fof(f270,plain,(
% 0.39/0.64 spl0_1|spl0_17|~spl0_14|~spl0_0),
% 0.39/0.64 inference(split_clause,[status(thm)],[f269,f12,f266,f186,f9])).
% 0.39/0.64 fof(f271,plain,(
% 0.39/0.64 $false|~spl0_17),
% 0.39/0.64 inference(backward_subsumption_resolution,[status(thm)],[f7,f267])).
% 0.39/0.64 fof(f272,plain,(
% 0.39/0.64 ~spl0_17),
% 0.39/0.64 inference(contradiction_clause,[status(thm)],[f271])).
% 0.39/0.64 fof(f273,plain,(
% 0.39/0.64 $false),
% 0.39/0.64 inference(sat_refutation,[status(thm)],[f16,f30,f32,f190,f270,f272])).
% 0.39/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 0.39/0.64 % Elapsed time: 0.076032 seconds
% 0.39/0.64 % CPU time: 0.125285 seconds
% 0.39/0.64 % Memory used: 12.952 MB
%------------------------------------------------------------------------------