TSTP Solution File: LCL036-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL036-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:18:04 EDT 2023
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL036-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 10:00:36 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Drodi V3.5.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (![X,Y,Z,U,V]: (is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),V),implies(implies(V,X),implies(Z,X)))) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,negated_conjecture,(
% 0.12/0.39 ~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f4,plain,(
% 0.12/0.39 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.12/0.39 inference(miniscoping,[status(esa)],[f1])).
% 0.12/0.39 fof(f5,plain,(
% 0.12/0.39 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f4])).
% 0.12/0.39 fof(f6,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f2])).
% 0.12/0.39 fof(f7,plain,(
% 0.12/0.39 ~is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f3])).
% 0.12/0.39 fof(f8,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4))|is_a_theorem(implies(implies(X4,X0),implies(X2,X0))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f6,f5])).
% 0.12/0.39 fof(f9,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f8,f6])).
% 0.12/0.39 fof(f10,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f9,f8])).
% 0.12/0.39 fof(f11,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))|is_a_theorem(implies(X4,implies(X1,X3))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f9,f5])).
% 0.12/0.39 fof(f12,plain,(
% 0.12/0.39 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(falsehood,X2))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f10,f8])).
% 0.12/0.39 fof(f14,plain,(
% 0.12/0.39 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f12,f8])).
% 0.12/0.39 fof(f15,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(falsehood,X2)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f12,f5])).
% 0.12/0.39 fof(f17,plain,(
% 0.12/0.39 ![X0,X1]: (is_a_theorem(implies(falsehood,implies(X0,X1))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f15,f14])).
% 0.12/0.39 fof(f35,plain,(
% 0.12/0.39 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f11,f14])).
% 0.12/0.39 fof(f44,plain,(
% 0.12/0.39 spl0_2 <=> ~is_a_theorem(X0)),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f45,plain,(
% 0.12/0.39 ![X0]: (~is_a_theorem(X0)|~spl0_2)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f44])).
% 0.12/0.39 fof(f53,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f35,f8])).
% 0.12/0.39 fof(f57,plain,(
% 0.12/0.39 spl0_4 <=> is_a_theorem(implies(X1,implies(X2,X1)))),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f58,plain,(
% 0.12/0.39 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_4)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f57])).
% 0.12/0.39 fof(f60,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f35,f5])).
% 0.12/0.39 fof(f61,plain,(
% 0.12/0.39 spl0_2|spl0_4),
% 0.12/0.39 inference(split_clause,[status(thm)],[f60,f44,f57])).
% 0.12/0.39 fof(f75,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(implies(X3,X2)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f53,f5])).
% 0.12/0.39 fof(f168,plain,(
% 0.12/0.39 $false|~spl0_2),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f17,f45])).
% 0.12/0.39 fof(f169,plain,(
% 0.12/0.39 ~spl0_2),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f168])).
% 0.12/0.39 fof(f379,plain,(
% 0.18/0.39 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1),implies(X3,X1)))|~spl0_4)),
% 0.18/0.39 inference(resolution,[status(thm)],[f8,f58])).
% 0.18/0.39 fof(f594,plain,(
% 0.18/0.39 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),implies(X0,falsehood)),X2)))|~spl0_4)),
% 0.18/0.39 inference(resolution,[status(thm)],[f379,f8])).
% 0.18/0.39 fof(f670,plain,(
% 0.18/0.39 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1)))))|~spl0_4)),
% 0.18/0.39 inference(resolution,[status(thm)],[f594,f75])).
% 0.18/0.39 fof(f721,plain,(
% 0.18/0.39 spl0_33 <=> is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1))))),
% 0.18/0.39 introduced(split_symbol_definition)).
% 0.18/0.39 fof(f722,plain,(
% 0.18/0.39 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,falsehood)),implies(X3,implies(X2,X0))))|~spl0_33)),
% 0.18/0.39 inference(component_clause,[status(thm)],[f721])).
% 0.18/0.39 fof(f724,plain,(
% 0.18/0.39 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1))))|~spl0_4)),
% 0.18/0.39 inference(resolution,[status(thm)],[f670,f5])).
% 0.18/0.39 fof(f725,plain,(
% 0.18/0.39 spl0_2|spl0_33|~spl0_4),
% 0.18/0.39 inference(split_clause,[status(thm)],[f724,f44,f721,f57])).
% 0.18/0.39 fof(f729,plain,(
% 0.18/0.39 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,falsehood)))|is_a_theorem(implies(X3,implies(X2,X0)))|~spl0_33)),
% 0.18/0.39 inference(resolution,[status(thm)],[f722,f5])).
% 0.18/0.39 fof(f765,plain,(
% 0.18/0.39 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1))))|~spl0_33|~spl0_4)),
% 0.18/0.39 inference(resolution,[status(thm)],[f729,f594])).
% 0.18/0.39 fof(f779,plain,(
% 0.18/0.39 spl0_34 <=> is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1)))),
% 0.18/0.39 introduced(split_symbol_definition)).
% 0.18/0.39 fof(f780,plain,(
% 0.18/0.39 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,falsehood)),implies(X2,X0)))|~spl0_34)),
% 0.18/0.39 inference(component_clause,[status(thm)],[f779])).
% 0.18/0.39 fof(f782,plain,(
% 0.18/0.39 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1)))|~spl0_33|~spl0_4)),
% 0.18/0.39 inference(resolution,[status(thm)],[f765,f5])).
% 0.18/0.39 fof(f783,plain,(
% 0.18/0.39 spl0_2|spl0_34|~spl0_33|~spl0_4),
% 0.18/0.39 inference(split_clause,[status(thm)],[f782,f44,f779,f721,f57])).
% 0.18/0.39 fof(f786,plain,(
% 0.18/0.39 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1)))|~spl0_34)),
% 0.18/0.39 inference(resolution,[status(thm)],[f780,f8])).
% 0.18/0.39 fof(f787,plain,(
% 0.18/0.39 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,falsehood)))|is_a_theorem(implies(X2,X0))|~spl0_34)),
% 0.18/0.39 inference(resolution,[status(thm)],[f780,f5])).
% 0.18/0.39 fof(f789,plain,(
% 0.18/0.39 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~spl0_34)),
% 0.18/0.39 inference(resolution,[status(thm)],[f786,f8])).
% 0.18/0.39 fof(f794,plain,(
% 0.18/0.39 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(X0,falsehood),X1),X2),implies(X0,X2)))|~spl0_34)),
% 0.18/0.39 inference(resolution,[status(thm)],[f789,f8])).
% 0.18/0.39 fof(f3993,plain,(
% 0.18/0.39 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,falsehood),X1)))|~spl0_34)),
% 0.18/0.39 inference(resolution,[status(thm)],[f794,f787])).
% 0.18/0.39 fof(f4026,plain,(
% 0.18/0.39 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),falsehood),X0))|~spl0_34)),
% 0.18/0.39 inference(resolution,[status(thm)],[f3993,f787])).
% 0.18/0.39 fof(f4038,plain,(
% 0.18/0.39 $false|~spl0_34),
% 0.18/0.39 inference(backward_subsumption_resolution,[status(thm)],[f7,f4026])).
% 0.18/0.39 fof(f4039,plain,(
% 0.18/0.39 ~spl0_34),
% 0.18/0.39 inference(contradiction_clause,[status(thm)],[f4038])).
% 0.18/0.39 fof(f4040,plain,(
% 0.18/0.39 $false),
% 0.18/0.39 inference(sat_refutation,[status(thm)],[f61,f169,f725,f783,f4039])).
% 0.18/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.40 % Elapsed time: 0.069012 seconds
% 0.18/0.40 % CPU time: 0.429720 seconds
% 0.18/0.40 % Memory used: 25.781 MB
%------------------------------------------------------------------------------