TSTP Solution File: LCL385-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL385-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:27:04 EDT 2024
% Result : Unsatisfiable 18.77s 2.67s
% Output : CNFRefutation 18.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : LCL385-1 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n022.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 20:21:58 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 18.77/2.67 % Refutation found
% 18.77/2.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.77/2.67 % SZS output start CNFRefutation for theBenchmark
% 18.77/2.67 fof(f1,axiom,(
% 18.77/2.67 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 18.77/2.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.77/2.67 fof(f2,axiom,(
% 18.77/2.67 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 18.77/2.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.77/2.67 fof(f3,axiom,(
% 18.77/2.67 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 18.77/2.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.77/2.67 fof(f4,axiom,(
% 18.77/2.67 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 18.77/2.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.77/2.67 fof(f5,negated_conjecture,(
% 18.77/2.67 ~ is_a_theorem(implies(implies(x,not(y)),implies(y,not(x)))) ),
% 18.77/2.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.77/2.67 fof(f6,plain,(
% 18.77/2.67 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 18.77/2.67 inference(miniscoping,[status(esa)],[f1])).
% 18.77/2.68 fof(f7,plain,(
% 18.77/2.68 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 18.77/2.68 inference(cnf_transformation,[status(esa)],[f6])).
% 18.77/2.68 fof(f8,plain,(
% 18.77/2.68 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 18.77/2.68 inference(cnf_transformation,[status(esa)],[f2])).
% 18.77/2.68 fof(f9,plain,(
% 18.77/2.68 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 18.77/2.68 inference(cnf_transformation,[status(esa)],[f3])).
% 18.77/2.68 fof(f10,plain,(
% 18.77/2.68 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 18.77/2.68 inference(cnf_transformation,[status(esa)],[f4])).
% 18.77/2.68 fof(f11,plain,(
% 18.77/2.68 ~is_a_theorem(implies(implies(x,not(y)),implies(y,not(x))))),
% 18.77/2.68 inference(cnf_transformation,[status(esa)],[f5])).
% 18.77/2.68 fof(f12,plain,(
% 18.77/2.68 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X0))),
% 18.77/2.68 inference(resolution,[status(thm)],[f7,f9])).
% 18.77/2.68 fof(f13,plain,(
% 18.77/2.68 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 18.77/2.68 inference(resolution,[status(thm)],[f7,f10])).
% 18.77/2.68 fof(f14,plain,(
% 18.77/2.68 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f8,f7])).
% 18.77/2.68 fof(f23,plain,(
% 18.77/2.68 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 18.77/2.68 inference(resolution,[status(thm)],[f14,f7])).
% 18.77/2.68 fof(f24,plain,(
% 18.77/2.68 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(X0))),
% 18.77/2.68 inference(resolution,[status(thm)],[f23,f12])).
% 18.77/2.68 fof(f25,plain,(
% 18.77/2.68 ![X0]: (~is_a_theorem(implies(implies(x,not(y)),X0))|~is_a_theorem(implies(X0,implies(y,not(x)))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f23,f11])).
% 18.77/2.68 fof(f26,plain,(
% 18.77/2.68 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X0)|is_a_theorem(X2))),
% 18.77/2.68 inference(resolution,[status(thm)],[f23,f7])).
% 18.77/2.68 fof(f27,plain,(
% 18.77/2.68 ![X0,X1]: (~is_a_theorem(implies(implies(not(not(X0)),X1),X0))|is_a_theorem(X0))),
% 18.77/2.68 inference(resolution,[status(thm)],[f24,f10])).
% 18.77/2.68 fof(f30,plain,(
% 18.77/2.68 ![X0,X1,X2]: (is_a_theorem(X0)|~is_a_theorem(implies(implies(not(not(X0)),X1),X2))|~is_a_theorem(implies(X2,X0)))),
% 18.77/2.68 inference(resolution,[status(thm)],[f27,f23])).
% 18.77/2.68 fof(f37,plain,(
% 18.77/2.68 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(X0)|is_a_theorem(implies(implies(X2,X3),implies(X1,X3))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f26,f8])).
% 18.77/2.68 fof(f67,plain,(
% 18.77/2.68 ![X0]: (~is_a_theorem(implies(implies(X0,not(y)),implies(y,not(x))))|~is_a_theorem(implies(X0,x)))),
% 18.77/2.68 inference(resolution,[status(thm)],[f25,f14])).
% 18.77/2.68 fof(f75,plain,(
% 18.77/2.68 ![X0,X1,X2]: (is_a_theorem(X0)|~is_a_theorem(implies(implies(X1,X2),X0))|~is_a_theorem(implies(X1,not(not(X0)))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f30,f14])).
% 18.77/2.68 fof(f82,plain,(
% 18.77/2.68 ![X0,X1,X2]: (is_a_theorem(X0)|~is_a_theorem(implies(implies(not(X1),X2),X0))|~is_a_theorem(X1))),
% 18.77/2.68 inference(resolution,[status(thm)],[f75,f13])).
% 18.77/2.68 fof(f85,plain,(
% 18.77/2.68 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(X2),X1)))|~is_a_theorem(X2))),
% 18.77/2.68 inference(resolution,[status(thm)],[f82,f8])).
% 18.77/2.68 fof(f106,plain,(
% 18.77/2.68 spl0_6 <=> ~is_a_theorem(X2)),
% 18.77/2.68 introduced(split_symbol_definition)).
% 18.77/2.68 fof(f107,plain,(
% 18.77/2.68 ![X0]: (~is_a_theorem(X0)|~spl0_6)),
% 18.77/2.68 inference(component_clause,[status(thm)],[f106])).
% 18.77/2.68 fof(f336,plain,(
% 18.77/2.68 $false|~spl0_6),
% 18.77/2.68 inference(forward_subsumption_resolution,[status(thm)],[f9,f107])).
% 18.77/2.68 fof(f337,plain,(
% 18.77/2.68 ~spl0_6),
% 18.77/2.68 inference(contradiction_clause,[status(thm)],[f336])).
% 18.77/2.68 fof(f400,plain,(
% 18.77/2.68 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f14,f9])).
% 18.77/2.68 fof(f401,plain,(
% 18.77/2.68 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f14,f8])).
% 18.77/2.68 fof(f405,plain,(
% 18.77/2.68 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f14,f10])).
% 18.77/2.68 fof(f444,plain,(
% 18.77/2.68 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f400,f14])).
% 18.77/2.68 fof(f452,plain,(
% 18.77/2.68 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 18.77/2.68 inference(resolution,[status(thm)],[f405,f7])).
% 18.77/2.68 fof(f473,plain,(
% 18.77/2.68 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 18.77/2.68 inference(resolution,[status(thm)],[f452,f9])).
% 18.77/2.68 fof(f485,plain,(
% 18.77/2.68 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f473,f85])).
% 18.77/2.68 fof(f563,plain,(
% 18.77/2.68 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f23,f405])).
% 18.77/2.68 fof(f565,plain,(
% 18.77/2.68 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 18.77/2.68 inference(resolution,[status(thm)],[f23,f9])).
% 18.77/2.68 fof(f579,plain,(
% 18.77/2.68 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 18.77/2.68 inference(resolution,[status(thm)],[f401,f7])).
% 18.77/2.68 fof(f913,plain,(
% 18.77/2.68 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f485,f452])).
% 18.77/2.68 fof(f976,plain,(
% 18.77/2.68 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f565,f913])).
% 18.77/2.68 fof(f996,plain,(
% 18.77/2.68 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f976,f14])).
% 18.77/2.68 fof(f1022,plain,(
% 18.77/2.68 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1)))),
% 18.77/2.68 inference(resolution,[status(thm)],[f996,f565])).
% 18.77/2.68 fof(f1052,plain,(
% 18.77/2.68 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|is_a_theorem(implies(X0,X2)))),
% 18.77/2.68 inference(resolution,[status(thm)],[f1022,f23])).
% 18.77/2.68 fof(f2165,plain,(
% 18.77/2.68 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 18.77/2.68 inference(resolution,[status(thm)],[f1052,f444])).
% 18.77/2.68 fof(f2359,plain,(
% 18.77/2.68 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f579,f2165])).
% 18.77/2.68 fof(f2369,plain,(
% 18.77/2.68 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f579,f996])).
% 18.77/2.68 fof(f3133,plain,(
% 18.77/2.68 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X2,implies(X0,X1))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f2369,f7])).
% 18.77/2.68 fof(f3327,plain,(
% 18.77/2.68 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f2359,f579])).
% 18.77/2.68 fof(f4187,plain,(
% 18.77/2.68 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f3327,f452])).
% 18.77/2.68 fof(f4197,plain,(
% 18.77/2.68 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f3327,f563])).
% 18.77/2.68 fof(f4238,plain,(
% 18.77/2.68 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f4187,f563])).
% 18.77/2.68 fof(f4288,plain,(
% 18.77/2.68 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 18.77/2.68 inference(resolution,[status(thm)],[f4238,f3133])).
% 18.77/2.71 fof(f4400,plain,(
% 18.77/2.71 spl0_138 <=> is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
% 18.77/2.71 introduced(split_symbol_definition)).
% 18.77/2.71 fof(f4401,plain,(
% 18.77/2.71 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~spl0_138)),
% 18.77/2.71 inference(component_clause,[status(thm)],[f4400])).
% 18.77/2.71 fof(f4403,plain,(
% 18.77/2.71 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))))),
% 18.77/2.71 inference(resolution,[status(thm)],[f4288,f37])).
% 18.77/2.71 fof(f4404,plain,(
% 18.77/2.71 spl0_6|spl0_138),
% 18.77/2.71 inference(split_clause,[status(thm)],[f4403,f106,f4400])).
% 18.77/2.71 fof(f5001,plain,(
% 18.77/2.71 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2))|~spl0_138)),
% 18.77/2.71 inference(resolution,[status(thm)],[f7,f4401])).
% 18.77/2.71 fof(f6044,plain,(
% 18.77/2.71 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))|~spl0_138)),
% 18.77/2.71 inference(resolution,[status(thm)],[f5001,f3327])).
% 18.77/2.71 fof(f6103,plain,(
% 18.77/2.71 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1)))|~spl0_138)),
% 18.77/2.71 inference(resolution,[status(thm)],[f6044,f563])).
% 18.77/2.71 fof(f6175,plain,(
% 18.77/2.71 ![X0]: (is_a_theorem(implies(not(not(X0)),X0))|~spl0_138)),
% 18.77/2.71 inference(resolution,[status(thm)],[f6103,f565])).
% 18.77/2.71 fof(f17422,plain,(
% 18.77/2.71 ~is_a_theorem(implies(not(not(x)),x))),
% 18.77/2.71 inference(resolution,[status(thm)],[f67,f4197])).
% 18.77/2.71 fof(f17423,plain,(
% 18.77/2.71 $false|~spl0_138),
% 18.77/2.71 inference(forward_subsumption_resolution,[status(thm)],[f17422,f6175])).
% 18.77/2.71 fof(f17424,plain,(
% 18.77/2.71 ~spl0_138),
% 18.77/2.71 inference(contradiction_clause,[status(thm)],[f17423])).
% 18.77/2.71 fof(f17425,plain,(
% 18.77/2.71 $false),
% 18.77/2.71 inference(sat_refutation,[status(thm)],[f337,f4404,f17424])).
% 18.77/2.71 % SZS output end CNFRefutation for theBenchmark.p
% 19.23/2.76 % Elapsed time: 2.485214 seconds
% 19.23/2.76 % CPU time: 19.517742 seconds
% 19.23/2.76 % Total memory used: 465.367 MB
% 19.23/2.76 % Net memory used: 427.833 MB
%------------------------------------------------------------------------------