TSTP Solution File: LCL076-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL076-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:18:11 EDT 2023
% Result : Unsatisfiable 0.17s 0.38s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL076-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue May 30 09:27:47 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.17/0.38 % Refutation found
% 0.17/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.38 fof(f1,axiom,(
% 0.17/0.38 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.17/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.38 fof(f2,axiom,(
% 0.17/0.38 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.17/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.38 fof(f3,axiom,(
% 0.17/0.38 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ))),
% 0.17/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.38 fof(f4,axiom,(
% 0.17/0.38 (![X,Y]: (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ))),
% 0.17/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.38 fof(f5,axiom,(
% 0.17/0.38 (![X1,X2,X3]: (( ~ is_a_theorem(implies(X1,X2))| ~ is_a_theorem(implies(X2,X3))| is_a_theorem(implies(X1,X3)) ) ))),
% 0.17/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.38 fof(f6,negated_conjecture,(
% 0.17/0.38 ~ is_a_theorem(implies(a,not(not(a)))) ),
% 0.17/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.38 fof(f7,plain,(
% 0.17/0.38 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.17/0.38 inference(miniscoping,[status(esa)],[f1])).
% 0.17/0.38 fof(f8,plain,(
% 0.17/0.38 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f7])).
% 0.17/0.38 fof(f9,plain,(
% 0.17/0.38 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f2])).
% 0.17/0.38 fof(f10,plain,(
% 0.17/0.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f3])).
% 0.17/0.38 fof(f11,plain,(
% 0.17/0.38 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.38 fof(f12,plain,(
% 0.17/0.38 ![X1,X3]: ((![X2]: (~is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X2,X3))))|is_a_theorem(implies(X1,X3)))),
% 0.17/0.38 inference(miniscoping,[status(esa)],[f5])).
% 0.17/0.38 fof(f13,plain,(
% 0.17/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f12])).
% 0.17/0.38 fof(f14,plain,(
% 0.17/0.38 ~is_a_theorem(implies(a,not(not(a))))),
% 0.17/0.38 inference(cnf_transformation,[status(esa)],[f6])).
% 0.17/0.38 fof(f20,plain,(
% 0.17/0.38 spl0_1 <=> ~is_a_theorem(X1)),
% 0.17/0.38 introduced(split_symbol_definition)).
% 0.17/0.38 fof(f21,plain,(
% 0.17/0.38 ![X0]: (~is_a_theorem(X0)|~spl0_1)),
% 0.17/0.38 inference(component_clause,[status(thm)],[f20])).
% 0.17/0.38 fof(f25,plain,(
% 0.17/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X0,X1),implies(X0,X2))))),
% 0.17/0.38 inference(resolution,[status(thm)],[f10,f8])).
% 0.17/0.38 fof(f27,plain,(
% 0.17/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,implies(X2,X1))))),
% 0.17/0.38 inference(resolution,[status(thm)],[f13,f9])).
% 0.17/0.38 fof(f30,plain,(
% 0.17/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(implies(X2,X1)))),
% 0.17/0.38 inference(resolution,[status(thm)],[f27,f8])).
% 0.17/0.38 fof(f33,plain,(
% 0.17/0.38 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X0))))),
% 0.17/0.38 inference(resolution,[status(thm)],[f30,f9])).
% 0.17/0.38 fof(f39,plain,(
% 0.17/0.38 $false|~spl0_1),
% 0.17/0.38 inference(backward_subsumption_resolution,[status(thm)],[f10,f21])).
% 0.17/0.38 fof(f40,plain,(
% 0.17/0.38 ~spl0_1),
% 0.17/0.38 inference(contradiction_clause,[status(thm)],[f39])).
% 0.17/0.38 fof(f70,plain,(
% 0.17/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2)))),
% 0.17/0.38 inference(resolution,[status(thm)],[f25,f8])).
% 0.17/0.38 fof(f78,plain,(
% 0.17/0.38 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X0)))),
% 0.17/0.38 inference(resolution,[status(thm)],[f70,f9])).
% 0.17/0.38 fof(f93,plain,(
% 0.17/0.38 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 0.17/0.38 inference(resolution,[status(thm)],[f78,f9])).
% 0.17/0.38 fof(f94,plain,(
% 0.17/0.38 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(implies(X0,X1),X1)))),
% 0.17/0.38 inference(resolution,[status(thm)],[f93,f70])).
% 0.17/0.38 fof(f98,plain,(
% 0.17/0.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),X2))|~is_a_theorem(X1))),
% 0.17/0.38 inference(resolution,[status(thm)],[f94,f33])).
% 0.17/0.38 fof(f103,plain,(
% 0.17/0.40 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(implies(implies(X1,X0),X2))|is_a_theorem(X2))),
% 0.17/0.40 inference(resolution,[status(thm)],[f98,f8])).
% 0.17/0.40 fof(f107,plain,(
% 0.17/0.40 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X0,X2))))),
% 0.17/0.40 inference(resolution,[status(thm)],[f103,f25])).
% 0.17/0.40 fof(f194,plain,(
% 0.17/0.40 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),not(X2))))|is_a_theorem(implies(X0,implies(X2,X1))))),
% 0.17/0.40 inference(resolution,[status(thm)],[f11,f13])).
% 0.17/0.40 fof(f196,plain,(
% 0.17/0.40 ![X0,X1]: (~is_a_theorem(implies(not(X0),not(X1)))|is_a_theorem(implies(X1,X0)))),
% 0.17/0.40 inference(resolution,[status(thm)],[f11,f8])).
% 0.17/0.40 fof(f215,plain,(
% 0.17/0.40 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 0.17/0.40 inference(resolution,[status(thm)],[f194,f9])).
% 0.17/0.40 fof(f264,plain,(
% 0.17/0.40 ![X0,X1]: (is_a_theorem(implies(not(not(X0)),implies(X1,X0))))),
% 0.17/0.40 inference(resolution,[status(thm)],[f215,f194])).
% 0.17/0.40 fof(f283,plain,(
% 0.17/0.40 spl0_17 <=> is_a_theorem(implies(not(not(X1)),X1))),
% 0.17/0.40 introduced(split_symbol_definition)).
% 0.17/0.40 fof(f284,plain,(
% 0.17/0.40 ![X0]: (is_a_theorem(implies(not(not(X0)),X0))|~spl0_17)),
% 0.17/0.40 inference(component_clause,[status(thm)],[f283])).
% 0.17/0.40 fof(f286,plain,(
% 0.17/0.40 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(not(X1)),X1)))),
% 0.17/0.40 inference(resolution,[status(thm)],[f264,f107])).
% 0.17/0.40 fof(f287,plain,(
% 0.17/0.40 spl0_1|spl0_17),
% 0.17/0.40 inference(split_clause,[status(thm)],[f286,f20,f283])).
% 0.17/0.40 fof(f292,plain,(
% 0.17/0.40 ![X0]: (is_a_theorem(implies(X0,not(not(X0))))|~spl0_17)),
% 0.17/0.40 inference(resolution,[status(thm)],[f284,f196])).
% 0.17/0.40 fof(f299,plain,(
% 0.17/0.40 $false|~spl0_17),
% 0.17/0.40 inference(backward_subsumption_resolution,[status(thm)],[f14,f292])).
% 0.17/0.40 fof(f300,plain,(
% 0.17/0.40 ~spl0_17),
% 0.17/0.40 inference(contradiction_clause,[status(thm)],[f299])).
% 0.17/0.40 fof(f301,plain,(
% 0.17/0.40 $false),
% 0.17/0.40 inference(sat_refutation,[status(thm)],[f40,f287,f300])).
% 0.17/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.40 % Elapsed time: 0.070052 seconds
% 0.17/0.40 % CPU time: 0.108694 seconds
% 0.17/0.40 % Memory used: 11.344 MB
%------------------------------------------------------------------------------