TSTP Solution File: LCL094-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL094-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:18:14 EDT 2023
% Result : Unsatisfiable 10.26s 1.59s
% Output : CNFRefutation 10.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : LCL094-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n019.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 09:44:25 EDT 2023
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 10.26/1.59 % Refutation found
% 10.26/1.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.26/1.59 % SZS output start CNFRefutation for theBenchmark
% 10.26/1.59 fof(f1,axiom,(
% 10.26/1.59 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 10.26/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.26/1.59 fof(f2,axiom,(
% 10.26/1.59 (![P,Q,R,S,T]: (is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))) ))),
% 10.26/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.26/1.59 fof(f3,negated_conjecture,(
% 10.26/1.59 ~ is_a_theorem(implies(a,implies(implies(a,b),b))) ),
% 10.26/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.26/1.59 fof(f4,plain,(
% 10.26/1.59 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 10.26/1.59 inference(miniscoping,[status(esa)],[f1])).
% 10.26/1.59 fof(f5,plain,(
% 10.26/1.59 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 10.26/1.59 inference(cnf_transformation,[status(esa)],[f4])).
% 10.26/1.59 fof(f6,plain,(
% 10.26/1.59 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))))),
% 10.26/1.59 inference(cnf_transformation,[status(esa)],[f2])).
% 10.26/1.59 fof(f7,plain,(
% 10.26/1.59 ~is_a_theorem(implies(a,implies(implies(a,b),b)))),
% 10.26/1.59 inference(cnf_transformation,[status(esa)],[f3])).
% 10.26/1.59 fof(f8,plain,(
% 10.26/1.59 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0)))))),
% 10.26/1.59 inference(resolution,[status(thm)],[f6,f5])).
% 10.26/1.59 fof(f9,plain,(
% 10.26/1.59 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))))),
% 10.26/1.59 inference(resolution,[status(thm)],[f8,f6])).
% 10.26/1.59 fof(f11,plain,(
% 10.26/1.59 spl0_0 <=> ~is_a_theorem(X0)),
% 10.26/1.59 introduced(split_symbol_definition)).
% 10.26/1.59 fof(f12,plain,(
% 10.26/1.59 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 10.26/1.59 inference(component_clause,[status(thm)],[f11])).
% 10.26/1.59 fof(f14,plain,(
% 10.26/1.59 spl0_1 <=> is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
% 10.26/1.59 introduced(split_symbol_definition)).
% 10.26/1.59 fof(f15,plain,(
% 10.26/1.59 ![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))))|~spl0_1)),
% 10.26/1.59 inference(component_clause,[status(thm)],[f14])).
% 10.26/1.59 fof(f17,plain,(
% 10.26/1.59 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))))),
% 10.26/1.59 inference(resolution,[status(thm)],[f9,f5])).
% 10.26/1.59 fof(f18,plain,(
% 10.26/1.59 spl0_0|spl0_1),
% 10.26/1.59 inference(split_clause,[status(thm)],[f17,f11,f14])).
% 10.26/1.59 fof(f205,plain,(
% 10.26/1.59 $false|~spl0_0),
% 10.26/1.59 inference(backward_subsumption_resolution,[status(thm)],[f6,f12])).
% 10.26/1.59 fof(f206,plain,(
% 10.26/1.59 ~spl0_0),
% 10.26/1.59 inference(contradiction_clause,[status(thm)],[f205])).
% 10.26/1.59 fof(f237,plain,(
% 10.26/1.59 ![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)))|~spl0_1)),
% 10.26/1.59 inference(resolution,[status(thm)],[f5,f15])).
% 10.26/1.59 fof(f241,plain,(
% 10.26/1.59 spl0_33 <=> ~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(X3,X0),implies(X2,X0)))),
% 10.26/1.59 introduced(split_symbol_definition)).
% 10.26/1.59 fof(f242,plain,(
% 10.26/1.59 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(X3,X0),implies(X2,X0)))|~spl0_33)),
% 10.26/1.59 inference(component_clause,[status(thm)],[f241])).
% 10.26/1.59 fof(f244,plain,(
% 10.26/1.59 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(X4)|is_a_theorem(implies(implies(X3,X0),implies(X2,X0))))),
% 10.26/1.59 inference(resolution,[status(thm)],[f8,f5])).
% 10.26/1.59 fof(f245,plain,(
% 10.26/1.59 spl0_33|spl0_0),
% 10.26/1.59 inference(split_clause,[status(thm)],[f244,f241,f11])).
% 10.26/1.59 fof(f246,plain,(
% 10.26/1.59 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2)))))|~spl0_1)),
% 10.26/1.59 inference(resolution,[status(thm)],[f6,f237])).
% 10.26/1.59 fof(f351,plain,(
% 10.26/1.59 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|~is_a_theorem(implies(X3,X0))|is_a_theorem(implies(X2,X0))|~spl0_33)),
% 10.26/1.59 inference(resolution,[status(thm)],[f242,f5])).
% 10.26/1.60 fof(f397,plain,(
% 10.26/1.60 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(implies(implies(X5,X1),implies(X6,X1)),implies(X1,X2)))))|is_a_theorem(implies(X4,implies(X0,implies(X1,X2))))|~spl0_33|~spl0_1)),
% 10.26/1.60 inference(resolution,[status(thm)],[f351,f15])).
% 10.26/1.60 fof(f399,plain,(
% 10.26/1.60 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X3,X2))),X4),implies(X5,implies(implies(X2,X6),implies(X3,X1)))))|is_a_theorem(implies(X5,implies(X0,implies(implies(X1,X2),implies(X3,X2)))))|~spl0_33)),
% 10.26/1.60 inference(resolution,[status(thm)],[f351,f6])).
% 10.26/1.60 fof(f401,plain,(
% 10.26/1.60 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,implies(X4,X1))))|is_a_theorem(implies(X3,implies(X0,X1)))|~is_a_theorem(implies(implies(X1,X5),implies(X0,X4)))|~spl0_33)),
% 10.26/1.60 inference(resolution,[status(thm)],[f351,f242])).
% 10.26/1.60 fof(f544,plain,(
% 10.26/1.60 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,implies(X3,X1)))))|~spl0_33|~spl0_1)),
% 10.26/1.60 inference(resolution,[status(thm)],[f397,f246])).
% 10.26/1.60 fof(f605,plain,(
% 10.26/1.60 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2)))))|~spl0_1|~spl0_33)),
% 10.26/1.60 inference(resolution,[status(thm)],[f544,f399])).
% 10.26/1.60 fof(f642,plain,(
% 10.26/1.60 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2)))))|~spl0_33|~spl0_1)),
% 10.26/1.60 inference(resolution,[status(thm)],[f605,f397])).
% 10.26/1.60 fof(f645,plain,(
% 10.26/1.60 spl0_48 <=> is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2))))),
% 10.26/1.60 introduced(split_symbol_definition)).
% 10.26/1.60 fof(f646,plain,(
% 10.26/1.60 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1))))|~spl0_48)),
% 10.26/1.60 inference(component_clause,[status(thm)],[f645])).
% 10.26/1.60 fof(f648,plain,(
% 10.26/1.60 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2))))|~spl0_1|~spl0_33)),
% 10.26/1.60 inference(resolution,[status(thm)],[f605,f5])).
% 10.26/1.60 fof(f649,plain,(
% 10.26/1.60 spl0_0|spl0_48|~spl0_1|~spl0_33),
% 10.26/1.60 inference(split_clause,[status(thm)],[f648,f11,f645,f14,f241])).
% 10.26/1.60 fof(f654,plain,(
% 10.26/1.60 spl0_49 <=> is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))),
% 10.26/1.60 introduced(split_symbol_definition)).
% 10.26/1.60 fof(f655,plain,(
% 10.26/1.60 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~spl0_49)),
% 10.26/1.60 inference(component_clause,[status(thm)],[f654])).
% 10.26/1.60 fof(f657,plain,(
% 10.26/1.60 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))|~spl0_33|~spl0_1)),
% 10.26/1.60 inference(resolution,[status(thm)],[f642,f5])).
% 10.26/1.60 fof(f658,plain,(
% 10.26/1.60 spl0_0|spl0_49|~spl0_33|~spl0_1),
% 10.26/1.60 inference(split_clause,[status(thm)],[f657,f11,f654,f241,f14])).
% 10.26/1.60 fof(f663,plain,(
% 10.26/1.60 spl0_50 <=> is_a_theorem(implies(X1,implies(X2,X1)))),
% 10.26/1.60 introduced(split_symbol_definition)).
% 10.26/1.60 fof(f664,plain,(
% 10.26/1.60 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_50)),
% 10.26/1.60 inference(component_clause,[status(thm)],[f663])).
% 10.26/1.60 fof(f666,plain,(
% 10.26/1.60 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1)))|~spl0_49)),
% 10.26/1.60 inference(resolution,[status(thm)],[f655,f5])).
% 10.26/1.60 fof(f667,plain,(
% 10.26/1.60 spl0_0|spl0_50|~spl0_49),
% 10.26/1.60 inference(split_clause,[status(thm)],[f666,f11,f663,f654])).
% 10.26/1.60 fof(f672,plain,(
% 10.26/1.60 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0))|~spl0_50)),
% 10.26/1.60 inference(resolution,[status(thm)],[f664,f5])).
% 10.26/1.60 fof(f724,plain,(
% 10.26/1.60 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))|~is_a_theorem(implies(implies(implies(X2,X3),X4),implies(X1,implies(X0,X3))))|~spl0_33|~spl0_1)),
% 10.26/1.60 inference(resolution,[status(thm)],[f401,f246])).
% 10.26/1.60 fof(f850,plain,(
% 10.26/1.60 spl0_57 <=> is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
% 10.26/1.60 introduced(split_symbol_definition)).
% 10.26/1.60 fof(f851,plain,(
% 10.26/1.60 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))|~spl0_57)),
% 10.26/1.60 inference(component_clause,[status(thm)],[f850])).
% 10.26/1.60 fof(f853,plain,(
% 10.26/1.60 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))|~spl0_48)),
% 10.26/1.60 inference(resolution,[status(thm)],[f646,f5])).
% 10.26/1.60 fof(f854,plain,(
% 10.26/1.60 spl0_0|spl0_57|~spl0_48),
% 10.26/1.61 inference(split_clause,[status(thm)],[f853,f11,f850,f645])).
% 10.26/1.61 fof(f860,plain,(
% 10.26/1.61 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(X2,X0))|~spl0_57)),
% 10.26/1.61 inference(resolution,[status(thm)],[f851,f5])).
% 10.26/1.61 fof(f876,plain,(
% 10.26/1.61 spl0_59 <=> ~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0)),
% 10.26/1.61 introduced(split_symbol_definition)).
% 10.26/1.61 fof(f877,plain,(
% 10.26/1.61 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0)|~spl0_59)),
% 10.26/1.61 inference(component_clause,[status(thm)],[f876])).
% 10.26/1.61 fof(f879,plain,(
% 10.26/1.61 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|~is_a_theorem(X2)|is_a_theorem(X0)|~spl0_57)),
% 10.26/1.61 inference(resolution,[status(thm)],[f860,f5])).
% 10.26/1.61 fof(f880,plain,(
% 10.26/1.61 spl0_59|spl0_0|~spl0_57),
% 10.26/1.61 inference(split_clause,[status(thm)],[f879,f876,f11,f850])).
% 10.26/1.61 fof(f1120,plain,(
% 10.26/1.61 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X1,X2),implies(X0,implies(X0,X1))))|~spl0_59|~spl0_33)),
% 10.26/1.61 inference(resolution,[status(thm)],[f877,f242])).
% 10.26/1.61 fof(f2083,plain,(
% 10.26/1.61 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X0,implies(X0,X1)))|~spl0_59|~spl0_33|~spl0_50)),
% 10.26/1.61 inference(resolution,[status(thm)],[f1120,f672])).
% 10.26/1.61 fof(f7866,plain,(
% 10.26/1.61 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2))))|~spl0_33|~spl0_1|~spl0_57)),
% 10.26/1.61 inference(resolution,[status(thm)],[f724,f851])).
% 10.26/1.61 fof(f7955,plain,(
% 10.26/1.61 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))|~spl0_1|~spl0_57|~spl0_59|~spl0_33|~spl0_50)),
% 10.26/1.61 inference(resolution,[status(thm)],[f7866,f2083])).
% 10.26/1.61 fof(f7960,plain,(
% 10.26/1.61 $false|~spl0_1|~spl0_57|~spl0_59|~spl0_33|~spl0_50),
% 10.26/1.61 inference(backward_subsumption_resolution,[status(thm)],[f7,f7955])).
% 10.26/1.61 fof(f7961,plain,(
% 10.26/1.61 ~spl0_1|~spl0_57|~spl0_59|~spl0_33|~spl0_50),
% 10.26/1.61 inference(contradiction_clause,[status(thm)],[f7960])).
% 10.26/1.61 fof(f7962,plain,(
% 10.26/1.61 $false),
% 10.26/1.61 inference(sat_refutation,[status(thm)],[f18,f206,f245,f649,f658,f667,f854,f880,f7961])).
% 10.26/1.61 % SZS output end CNFRefutation for theBenchmark.p
% 10.80/1.66 % Elapsed time: 1.386427 seconds
% 10.80/1.66 % CPU time: 10.841448 seconds
% 10.80/1.66 % Memory used: 332.491 MB
%------------------------------------------------------------------------------