TSTP Solution File: LCL066-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL066-1 : 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 : Tue Apr 30 20:26:16 EDT 2024
% Result : Unsatisfiable 0.09s 0.37s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : LCL066-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.34 % Computer : n017.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8042.1875MB
% 0.09/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Apr 29 19:44:48 EDT 2024
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Drodi V3.6.0
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f1,axiom,(
% 0.09/0.37 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f2,axiom,(
% 0.09/0.37 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f3,axiom,(
% 0.09/0.37 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f4,axiom,(
% 0.09/0.37 (![X,Y]: (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f5,negated_conjecture,(
% 0.09/0.37 ~ is_a_theorem(implies(a,implies(not(a),b))) ),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f6,plain,(
% 0.09/0.37 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.09/0.37 inference(miniscoping,[status(esa)],[f1])).
% 0.09/0.37 fof(f7,plain,(
% 0.09/0.37 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.09/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.09/0.37 fof(f8,plain,(
% 0.09/0.37 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.09/0.37 inference(cnf_transformation,[status(esa)],[f2])).
% 0.09/0.37 fof(f9,plain,(
% 0.09/0.37 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))))),
% 0.09/0.37 inference(cnf_transformation,[status(esa)],[f3])).
% 0.09/0.37 fof(f10,plain,(
% 0.09/0.37 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 0.09/0.37 inference(cnf_transformation,[status(esa)],[f4])).
% 0.09/0.37 fof(f11,plain,(
% 0.09/0.37 ~is_a_theorem(implies(a,implies(not(a),b)))),
% 0.09/0.37 inference(cnf_transformation,[status(esa)],[f5])).
% 0.09/0.37 fof(f12,plain,(
% 0.09/0.37 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.09/0.37 inference(resolution,[status(thm)],[f7,f8])).
% 0.09/0.37 fof(f14,plain,(
% 0.09/0.37 spl0_0 <=> ~is_a_theorem(X0)),
% 0.09/0.37 introduced(split_symbol_definition)).
% 0.09/0.37 fof(f15,plain,(
% 0.09/0.37 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 0.09/0.37 inference(component_clause,[status(thm)],[f14])).
% 0.09/0.37 fof(f23,plain,(
% 0.09/0.37 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X0,X1),implies(X0,X2))))),
% 0.09/0.37 inference(resolution,[status(thm)],[f9,f7])).
% 0.09/0.37 fof(f32,plain,(
% 0.09/0.37 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(not(X1),not(X2)),implies(X2,X1)))))),
% 0.09/0.37 inference(resolution,[status(thm)],[f10,f12])).
% 0.09/0.37 fof(f45,plain,(
% 0.09/0.37 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,X2)))),
% 0.09/0.37 inference(resolution,[status(thm)],[f23,f7])).
% 0.09/0.37 fof(f46,plain,(
% 0.09/0.37 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X3,implies(implies(X0,X1),implies(X0,X2)))))),
% 0.09/0.37 inference(resolution,[status(thm)],[f23,f12])).
% 0.09/0.37 fof(f61,plain,(
% 0.09/0.37 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X0),X2)))|is_a_theorem(implies(X0,X2)))),
% 0.09/0.37 inference(resolution,[status(thm)],[f45,f8])).
% 0.09/0.37 fof(f62,plain,(
% 0.09/0.37 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 0.09/0.37 inference(resolution,[status(thm)],[f61,f32])).
% 0.09/0.37 fof(f79,plain,(
% 0.09/0.37 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 0.09/0.37 inference(resolution,[status(thm)],[f46,f61])).
% 0.09/0.37 fof(f97,plain,(
% 0.09/0.37 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),implies(X1,X2)))))),
% 0.09/0.37 inference(resolution,[status(thm)],[f62,f12])).
% 0.09/0.37 fof(f120,plain,(
% 0.09/0.37 spl0_11 <=> is_a_theorem(implies(not(X1),implies(X1,X2)))),
% 0.09/0.37 introduced(split_symbol_definition)).
% 0.09/0.37 fof(f121,plain,(
% 0.09/0.37 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1)))|~spl0_11)),
% 0.09/0.37 inference(component_clause,[status(thm)],[f120])).
% 0.09/0.37 fof(f123,plain,(
% 0.09/0.37 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X1),implies(X1,X2))))),
% 0.09/0.37 inference(resolution,[status(thm)],[f97,f7])).
% 0.09/0.37 fof(f124,plain,(
% 0.09/0.37 spl0_0|spl0_11),
% 0.09/0.37 inference(split_clause,[status(thm)],[f123,f14,f120])).
% 0.09/0.37 fof(f228,plain,(
% 0.09/0.37 $false|~spl0_0),
% 0.09/0.37 inference(backward_subsumption_resolution,[status(thm)],[f62,f15])).
% 0.09/0.37 fof(f229,plain,(
% 0.09/0.37 ~spl0_0),
% 0.09/0.37 inference(contradiction_clause,[status(thm)],[f228])).
% 0.09/0.38 fof(f319,plain,(
% 0.09/0.38 ~is_a_theorem(implies(not(a),implies(a,b)))),
% 0.09/0.38 inference(resolution,[status(thm)],[f79,f11])).
% 0.09/0.38 fof(f320,plain,(
% 0.09/0.38 $false|~spl0_11),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f319,f121])).
% 0.09/0.38 fof(f321,plain,(
% 0.09/0.38 ~spl0_11),
% 0.09/0.38 inference(contradiction_clause,[status(thm)],[f320])).
% 0.09/0.38 fof(f322,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(sat_refutation,[status(thm)],[f124,f229,f321])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.39 % Elapsed time: 0.032523 seconds
% 0.09/0.39 % CPU time: 0.132284 seconds
% 0.09/0.39 % Total memory used: 23.840 MB
% 0.09/0.39 % Net memory used: 23.334 MB
%------------------------------------------------------------------------------