TSTP Solution File: LCL077-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL077-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 20:26:18 EDT 2024
% Result : Unsatisfiable 0.20s 0.41s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL077-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 20:34:01 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.41 % Refutation found
% 0.20/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.41 fof(f1,axiom,(
% 0.20/0.41 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.20/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f2,axiom,(
% 0.20/0.41 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.20/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f3,axiom,(
% 0.20/0.41 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ))),
% 0.20/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f4,axiom,(
% 0.20/0.41 (![X,Y]: (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ))),
% 0.20/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f5,axiom,(
% 0.20/0.41 (![X1,X2,X3]: (( ~ is_a_theorem(implies(X1,X2))| ~ is_a_theorem(implies(X2,X3))| is_a_theorem(implies(X1,X3)) ) ))),
% 0.20/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f6,negated_conjecture,(
% 0.20/0.41 ~ is_a_theorem(implies(not(not(a)),a)) ),
% 0.20/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f7,plain,(
% 0.20/0.41 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.20/0.41 inference(miniscoping,[status(esa)],[f1])).
% 0.20/0.41 fof(f8,plain,(
% 0.20/0.41 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.41 fof(f9,plain,(
% 0.20/0.41 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.41 fof(f10,plain,(
% 0.20/0.41 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.41 fof(f11,plain,(
% 0.20/0.41 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.41 fof(f12,plain,(
% 0.20/0.41 ![X1,X3]: ((![X2]: (~is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X2,X3))))|is_a_theorem(implies(X1,X3)))),
% 0.20/0.41 inference(miniscoping,[status(esa)],[f5])).
% 0.20/0.41 fof(f13,plain,(
% 0.20/0.41 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.41 fof(f14,plain,(
% 0.20/0.41 ~is_a_theorem(implies(not(not(a)),a))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.41 fof(f15,plain,(
% 0.20/0.41 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.20/0.41 inference(resolution,[status(thm)],[f8,f9])).
% 0.20/0.41 fof(f17,plain,(
% 0.20/0.41 spl0_0 <=> ~is_a_theorem(X0)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f18,plain,(
% 0.20/0.41 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 0.20/0.41 inference(component_clause,[status(thm)],[f17])).
% 0.20/0.41 fof(f26,plain,(
% 0.20/0.41 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X0,X1),implies(X0,X2))))),
% 0.20/0.41 inference(resolution,[status(thm)],[f10,f8])).
% 0.20/0.41 fof(f35,plain,(
% 0.20/0.41 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(not(X1),not(X2)),implies(X2,X1)))))),
% 0.20/0.41 inference(resolution,[status(thm)],[f11,f15])).
% 0.20/0.41 fof(f36,plain,(
% 0.20/0.41 ![X0]: (~is_a_theorem(implies(not(not(a)),X0))|~is_a_theorem(implies(X0,a)))),
% 0.20/0.41 inference(resolution,[status(thm)],[f13,f14])).
% 0.20/0.41 fof(f85,plain,(
% 0.20/0.41 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2)))),
% 0.20/0.41 inference(resolution,[status(thm)],[f26,f8])).
% 0.20/0.41 fof(f109,plain,(
% 0.20/0.41 spl0_11 <=> is_a_theorem(implies(implies(not(X2),not(X3)),implies(X3,X2)))),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f110,plain,(
% 0.20/0.41 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))|~spl0_11)),
% 0.20/0.41 inference(component_clause,[status(thm)],[f109])).
% 0.20/0.41 fof(f114,plain,(
% 0.20/0.41 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1))))),
% 0.20/0.41 inference(resolution,[status(thm)],[f35,f8])).
% 0.20/0.41 fof(f115,plain,(
% 0.20/0.41 spl0_0|spl0_11),
% 0.20/0.41 inference(split_clause,[status(thm)],[f114,f17,f109])).
% 0.20/0.41 fof(f144,plain,(
% 0.20/0.41 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X0),X2)))|is_a_theorem(implies(X0,X2)))),
% 0.20/0.41 inference(resolution,[status(thm)],[f85,f9])).
% 0.20/0.41 fof(f147,plain,(
% 0.20/0.41 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 0.20/0.41 inference(resolution,[status(thm)],[f144,f35])).
% 0.20/0.41 fof(f155,plain,(
% 0.20/0.41 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 0.20/0.41 inference(resolution,[status(thm)],[f144,f9])).
% 0.20/0.41 fof(f165,plain,(
% 0.20/0.41 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 0.20/0.41 inference(resolution,[status(thm)],[f155,f15])).
% 0.20/0.41 fof(f167,plain,(
% 0.20/0.41 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|is_a_theorem(implies(X0,X2)))),
% 0.20/0.41 inference(resolution,[status(thm)],[f165,f85])).
% 0.20/0.41 fof(f225,plain,(
% 0.20/0.41 $false|~spl0_0),
% 0.20/0.41 inference(backward_subsumption_resolution,[status(thm)],[f147,f18])).
% 0.20/0.41 fof(f226,plain,(
% 0.20/0.41 ~spl0_0),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f225])).
% 0.20/0.41 fof(f372,plain,(
% 0.20/0.41 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(implies(X1,X1))),X0))|~spl0_11)),
% 0.20/0.41 inference(resolution,[status(thm)],[f167,f110])).
% 0.20/0.41 fof(f528,plain,(
% 0.20/0.41 ![X0]: (~is_a_theorem(implies(not(not(a)),implies(not(a),not(implies(X0,X0)))))|~spl0_11)),
% 0.20/0.41 inference(resolution,[status(thm)],[f372,f36])).
% 0.20/0.41 fof(f529,plain,(
% 0.20/0.41 $false|~spl0_11),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f528,f147])).
% 0.20/0.41 fof(f530,plain,(
% 0.20/0.41 ~spl0_11),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f529])).
% 0.20/0.41 fof(f531,plain,(
% 0.20/0.41 $false),
% 0.20/0.41 inference(sat_refutation,[status(thm)],[f115,f226,f530])).
% 0.20/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.42 % Elapsed time: 0.061047 seconds
% 0.20/0.42 % CPU time: 0.380999 seconds
% 0.20/0.42 % Total memory used: 38.474 MB
% 0.20/0.42 % Net memory used: 37.437 MB
%------------------------------------------------------------------------------