TSTP Solution File: LCL043-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL043-1 : 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 12:18:05 EDT 2023
% Result : Unsatisfiable 0.14s 0.33s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL043-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n017.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 09:16:25 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.5.1
% 0.14/0.33 % Refutation found
% 0.14/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.33 fof(f1,axiom,(
% 0.14/0.33 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.14/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f2,axiom,(
% 0.14/0.33 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 0.14/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f3,axiom,(
% 0.14/0.33 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 0.14/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f4,axiom,(
% 0.14/0.33 (![X,Y,Z]: (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))) ))),
% 0.14/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f6,axiom,(
% 0.14/0.33 (![X,Y]: (is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y))) ))),
% 0.14/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f7,negated_conjecture,(
% 0.14/0.33 ~ is_a_theorem(implies(not(not(a)),a)) ),
% 0.14/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.33 fof(f8,plain,(
% 0.14/0.33 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.14/0.33 inference(miniscoping,[status(esa)],[f1])).
% 0.14/0.33 fof(f9,plain,(
% 0.14/0.33 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.33 fof(f10,plain,(
% 0.14/0.33 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.33 fof(f11,plain,(
% 0.14/0.33 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.33 fof(f12,plain,(
% 0.14/0.33 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.33 fof(f14,plain,(
% 0.14/0.33 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))))),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.33 fof(f15,plain,(
% 0.14/0.33 ~is_a_theorem(implies(not(not(a)),a))),
% 0.14/0.33 inference(cnf_transformation,[status(esa)],[f7])).
% 0.14/0.33 fof(f16,plain,(
% 0.14/0.33 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 0.14/0.33 inference(resolution,[status(thm)],[f11,f9])).
% 0.14/0.33 fof(f17,plain,(
% 0.14/0.33 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 0.14/0.33 inference(resolution,[status(thm)],[f16,f11])).
% 0.14/0.33 fof(f32,plain,(
% 0.14/0.33 spl0_2 <=> ~is_a_theorem(X0)),
% 0.14/0.33 introduced(split_symbol_definition)).
% 0.14/0.33 fof(f33,plain,(
% 0.14/0.33 ![X0]: (~is_a_theorem(X0)|~spl0_2)),
% 0.14/0.33 inference(component_clause,[status(thm)],[f32])).
% 0.14/0.33 fof(f35,plain,(
% 0.14/0.33 spl0_3 <=> is_a_theorem(implies(X1,implies(X2,X1)))),
% 0.14/0.33 introduced(split_symbol_definition)).
% 0.14/0.33 fof(f36,plain,(
% 0.14/0.33 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_3)),
% 0.14/0.33 inference(component_clause,[status(thm)],[f35])).
% 0.14/0.33 fof(f38,plain,(
% 0.14/0.33 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1))))),
% 0.14/0.33 inference(resolution,[status(thm)],[f17,f9])).
% 0.14/0.33 fof(f39,plain,(
% 0.14/0.33 spl0_2|spl0_3),
% 0.14/0.33 inference(split_clause,[status(thm)],[f38,f32,f35])).
% 0.14/0.33 fof(f41,plain,(
% 0.14/0.33 $false|~spl0_2),
% 0.14/0.33 inference(backward_subsumption_resolution,[status(thm)],[f12,f33])).
% 0.14/0.33 fof(f42,plain,(
% 0.14/0.33 ~spl0_2),
% 0.14/0.33 inference(contradiction_clause,[status(thm)],[f41])).
% 0.14/0.33 fof(f72,plain,(
% 0.14/0.33 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X1),X1)))),
% 0.14/0.33 inference(resolution,[status(thm)],[f14,f9])).
% 0.14/0.33 fof(f73,plain,(
% 0.14/0.33 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X1))|is_a_theorem(X1))),
% 0.14/0.33 inference(resolution,[status(thm)],[f72,f9])).
% 0.14/0.33 fof(f75,plain,(
% 0.14/0.33 ![X0]: (~is_a_theorem(implies(X0,implies(not(not(a)),a)))|~is_a_theorem(implies(not(X0),implies(not(not(a)),a))))),
% 0.14/0.33 inference(resolution,[status(thm)],[f73,f15])).
% 0.14/0.33 fof(f162,plain,(
% 0.14/0.33 ~is_a_theorem(implies(a,implies(not(not(a)),a)))),
% 0.14/0.33 inference(resolution,[status(thm)],[f75,f10])).
% 0.14/0.33 fof(f163,plain,(
% 0.14/0.33 $false|~spl0_3),
% 0.14/0.33 inference(forward_subsumption_resolution,[status(thm)],[f162,f36])).
% 0.14/0.33 fof(f164,plain,(
% 0.14/0.33 ~spl0_3),
% 0.14/0.33 inference(contradiction_clause,[status(thm)],[f163])).
% 0.14/0.33 fof(f165,plain,(
% 0.14/0.33 $false),
% 0.14/0.33 inference(sat_refutation,[status(thm)],[f39,f42,f164])).
% 0.14/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.55 % Elapsed time: 0.027170 seconds
% 0.14/0.55 % CPU time: 0.021652 seconds
% 0.14/0.55 % Memory used: 1.943 MB
%------------------------------------------------------------------------------