TSTP Solution File: LCL089-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL089-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:26:19 EDT 2024
% Result : Unsatisfiable 11.61s 1.88s
% Output : CNFRefutation 11.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL089-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:27:26 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 11.61/1.88 % Refutation found
% 11.61/1.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.61/1.88 % SZS output start CNFRefutation for theBenchmark
% 11.61/1.88 fof(f1,axiom,(
% 11.61/1.88 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 11.61/1.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.61/1.88 fof(f2,axiom,(
% 11.61/1.88 (![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))))) ))),
% 11.61/1.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.61/1.88 fof(f3,negated_conjecture,(
% 11.61/1.88 ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ),
% 11.61/1.88 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.61/1.88 fof(f4,plain,(
% 11.61/1.88 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 11.61/1.88 inference(miniscoping,[status(esa)],[f1])).
% 11.61/1.88 fof(f5,plain,(
% 11.61/1.88 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 11.61/1.88 inference(cnf_transformation,[status(esa)],[f4])).
% 11.61/1.88 fof(f6,plain,(
% 11.61/1.88 ![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))))))),
% 11.61/1.88 inference(cnf_transformation,[status(esa)],[f2])).
% 11.61/1.88 fof(f7,plain,(
% 11.61/1.88 ~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))),
% 11.61/1.88 inference(cnf_transformation,[status(esa)],[f3])).
% 11.61/1.88 fof(f8,plain,(
% 11.61/1.88 ![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)))))),
% 11.61/1.88 inference(resolution,[status(thm)],[f6,f5])).
% 11.61/1.88 fof(f9,plain,(
% 11.61/1.88 ![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))))))),
% 11.61/1.88 inference(resolution,[status(thm)],[f8,f6])).
% 11.61/1.88 fof(f11,plain,(
% 11.61/1.88 spl0_0 <=> ~is_a_theorem(X0)),
% 11.61/1.88 introduced(split_symbol_definition)).
% 11.61/1.88 fof(f12,plain,(
% 11.61/1.88 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 11.61/1.88 inference(component_clause,[status(thm)],[f11])).
% 11.61/1.88 fof(f14,plain,(
% 11.61/1.88 spl0_1 <=> is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
% 11.61/1.88 introduced(split_symbol_definition)).
% 11.61/1.88 fof(f15,plain,(
% 11.61/1.88 ![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)),
% 11.61/1.88 inference(component_clause,[status(thm)],[f14])).
% 11.61/1.88 fof(f17,plain,(
% 11.61/1.88 ![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)))))),
% 11.61/1.88 inference(resolution,[status(thm)],[f9,f5])).
% 11.61/1.88 fof(f18,plain,(
% 11.61/1.88 spl0_0|spl0_1),
% 11.61/1.88 inference(split_clause,[status(thm)],[f17,f11,f14])).
% 11.61/1.88 fof(f205,plain,(
% 11.61/1.88 $false|~spl0_0),
% 11.61/1.88 inference(backward_subsumption_resolution,[status(thm)],[f6,f12])).
% 11.61/1.88 fof(f206,plain,(
% 11.61/1.88 ~spl0_0),
% 11.61/1.88 inference(contradiction_clause,[status(thm)],[f205])).
% 11.61/1.88 fof(f237,plain,(
% 11.61/1.88 ![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)),
% 11.61/1.88 inference(resolution,[status(thm)],[f5,f15])).
% 11.61/1.88 fof(f242,plain,(
% 11.61/1.88 spl0_33 <=> ~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(X3,X0),implies(X2,X0)))),
% 11.61/1.88 introduced(split_symbol_definition)).
% 11.61/1.88 fof(f243,plain,(
% 11.61/1.88 ![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)),
% 11.61/1.88 inference(component_clause,[status(thm)],[f242])).
% 11.61/1.88 fof(f245,plain,(
% 11.61/1.88 ![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))))),
% 11.61/1.88 inference(resolution,[status(thm)],[f8,f5])).
% 11.61/1.88 fof(f246,plain,(
% 11.61/1.88 spl0_33|spl0_0),
% 11.61/1.88 inference(split_clause,[status(thm)],[f245,f242,f11])).
% 11.61/1.88 fof(f247,plain,(
% 11.61/1.88 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2)))))|~spl0_1)),
% 11.61/1.88 inference(resolution,[status(thm)],[f6,f237])).
% 11.61/1.88 fof(f368,plain,(
% 11.61/1.88 ![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)),
% 11.61/1.88 inference(resolution,[status(thm)],[f243,f5])).
% 11.61/1.89 fof(f459,plain,(
% 11.61/1.89 ![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)),
% 11.61/1.89 inference(resolution,[status(thm)],[f368,f15])).
% 11.61/1.89 fof(f461,plain,(
% 11.61/1.89 ![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)),
% 11.61/1.89 inference(resolution,[status(thm)],[f368,f6])).
% 11.61/1.89 fof(f510,plain,(
% 11.61/1.89 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))|~is_a_theorem(implies(implies(implies(implies(implies(X4,X2),implies(X5,X2)),implies(X2,X3)),X6),implies(X0,implies(X1,implies(X2,X3)))))|~spl0_1|~spl0_33)),
% 11.61/1.89 inference(resolution,[status(thm)],[f459,f243])).
% 11.61/1.89 fof(f547,plain,(
% 11.61/1.89 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,implies(X3,X1)))))|~spl0_33|~spl0_1)),
% 11.61/1.89 inference(resolution,[status(thm)],[f459,f247])).
% 11.61/1.89 fof(f606,plain,(
% 11.61/1.89 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(X3,X2),implies(X4,X2))))))|~spl0_33|~spl0_1)),
% 11.61/1.89 inference(resolution,[status(thm)],[f547,f459])).
% 11.61/1.89 fof(f636,plain,(
% 11.61/1.89 spl0_57 <=> is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X2),implies(X4,X2)))))),
% 11.61/1.89 introduced(split_symbol_definition)).
% 11.61/1.89 fof(f637,plain,(
% 11.61/1.89 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X1),implies(X3,X1)))))|~spl0_57)),
% 11.61/1.89 inference(component_clause,[status(thm)],[f636])).
% 11.61/1.89 fof(f639,plain,(
% 11.61/1.89 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X2),implies(X4,X2)))))|~spl0_33|~spl0_1)),
% 11.61/1.89 inference(resolution,[status(thm)],[f606,f5])).
% 11.61/1.89 fof(f640,plain,(
% 11.61/1.89 spl0_0|spl0_57|~spl0_33|~spl0_1),
% 11.61/1.89 inference(split_clause,[status(thm)],[f639,f11,f636,f242,f14])).
% 11.61/1.89 fof(f666,plain,(
% 11.61/1.89 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2)))))|~spl0_33|~spl0_1)),
% 11.61/1.89 inference(resolution,[status(thm)],[f461,f547])).
% 11.61/1.89 fof(f707,plain,(
% 11.61/1.89 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),implies(X3,X2)))))|~spl0_33|~spl0_57)),
% 11.61/1.89 inference(resolution,[status(thm)],[f461,f637])).
% 11.61/1.89 fof(f1422,plain,(
% 11.61/1.89 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2)))))|~spl0_57|~spl0_33|~spl0_1)),
% 11.61/1.89 inference(resolution,[status(thm)],[f707,f459])).
% 11.61/1.89 fof(f1439,plain,(
% 11.61/1.89 spl0_109 <=> is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))),
% 11.61/1.89 introduced(split_symbol_definition)).
% 11.61/1.89 fof(f1440,plain,(
% 11.61/1.89 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~spl0_109)),
% 11.61/1.89 inference(component_clause,[status(thm)],[f1439])).
% 11.61/1.89 fof(f1442,plain,(
% 11.61/1.89 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))|~spl0_57|~spl0_33|~spl0_1)),
% 11.61/1.89 inference(resolution,[status(thm)],[f1422,f5])).
% 11.61/1.89 fof(f1443,plain,(
% 11.61/1.89 spl0_0|spl0_109|~spl0_57|~spl0_33|~spl0_1),
% 11.61/1.89 inference(split_clause,[status(thm)],[f1442,f11,f1439,f636,f242,f14])).
% 11.61/1.89 fof(f1444,plain,(
% 11.61/1.89 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(X1,X3),implies(X0,X3)))))|~spl0_109|~spl0_33)),
% 11.61/1.89 inference(resolution,[status(thm)],[f1440,f461])).
% 11.61/1.89 fof(f1451,plain,(
% 11.61/1.89 spl0_110 <=> is_a_theorem(implies(X1,implies(X2,X1)))),
% 11.61/1.89 introduced(split_symbol_definition)).
% 11.61/1.89 fof(f1452,plain,(
% 11.61/1.89 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_110)),
% 11.61/1.89 inference(component_clause,[status(thm)],[f1451])).
% 11.61/1.89 fof(f1454,plain,(
% 11.61/1.89 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1)))|~spl0_109)),
% 11.61/1.89 inference(resolution,[status(thm)],[f1440,f5])).
% 11.61/1.89 fof(f1455,plain,(
% 11.61/1.89 spl0_0|spl0_110|~spl0_109),
% 11.61/1.89 inference(split_clause,[status(thm)],[f1454,f11,f1451,f1439])).
% 11.61/1.89 fof(f1474,plain,(
% 11.61/1.89 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0))|~spl0_110)),
% 11.61/1.89 inference(resolution,[status(thm)],[f1452,f5])).
% 11.61/1.89 fof(f2333,plain,(
% 11.61/1.89 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1))))|~spl0_1|~spl0_33)),
% 11.61/1.89 inference(resolution,[status(thm)],[f666,f510])).
% 11.61/1.89 fof(f2366,plain,(
% 11.61/1.89 spl0_167 <=> is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
% 11.61/1.89 introduced(split_symbol_definition)).
% 11.61/1.89 fof(f2367,plain,(
% 11.61/1.89 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))|~spl0_167)),
% 11.61/1.89 inference(component_clause,[status(thm)],[f2366])).
% 11.61/1.89 fof(f2369,plain,(
% 11.61/1.89 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))|~spl0_1|~spl0_33)),
% 11.61/1.89 inference(resolution,[status(thm)],[f2333,f5])).
% 11.61/1.89 fof(f2370,plain,(
% 11.61/1.89 spl0_0|spl0_167|~spl0_1|~spl0_33),
% 11.61/1.89 inference(split_clause,[status(thm)],[f2369,f11,f2366,f14,f242])).
% 11.61/1.89 fof(f2412,plain,(
% 11.61/1.89 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(X2,X0))|~spl0_167)),
% 11.61/1.89 inference(resolution,[status(thm)],[f2367,f5])).
% 11.61/1.89 fof(f2584,plain,(
% 11.61/1.89 spl0_195 <=> ~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0)),
% 11.61/1.89 introduced(split_symbol_definition)).
% 11.61/1.89 fof(f2585,plain,(
% 11.61/1.89 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(X0)|~spl0_195)),
% 11.61/1.89 inference(component_clause,[status(thm)],[f2584])).
% 11.61/1.89 fof(f2587,plain,(
% 11.61/1.89 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X0))|~is_a_theorem(X2)|is_a_theorem(X0)|~spl0_167)),
% 11.61/1.89 inference(resolution,[status(thm)],[f2412,f5])).
% 11.61/1.89 fof(f2588,plain,(
% 11.61/1.89 spl0_195|spl0_0|~spl0_167),
% 11.61/1.89 inference(split_clause,[status(thm)],[f2587,f2584,f11,f2366])).
% 11.61/1.89 fof(f2623,plain,(
% 11.61/1.89 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X1,X2),implies(X0,implies(X0,X1))))|~spl0_195|~spl0_33)),
% 11.61/1.89 inference(resolution,[status(thm)],[f2585,f243])).
% 11.61/1.89 fof(f4883,plain,(
% 11.61/1.89 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X0,implies(X0,X1)))|~spl0_195|~spl0_33|~spl0_110)),
% 11.61/1.89 inference(resolution,[status(thm)],[f2623,f1474])).
% 11.61/1.89 fof(f5714,plain,(
% 11.61/1.89 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))|~spl0_195|~spl0_110|~spl0_109|~spl0_33)),
% 11.61/1.89 inference(resolution,[status(thm)],[f4883,f1444])).
% 11.61/1.89 fof(f8524,plain,(
% 11.61/1.89 $false|~spl0_195|~spl0_110|~spl0_109|~spl0_33),
% 11.61/1.89 inference(backward_subsumption_resolution,[status(thm)],[f7,f5714])).
% 11.61/1.89 fof(f8525,plain,(
% 11.61/1.89 ~spl0_195|~spl0_110|~spl0_109|~spl0_33),
% 11.61/1.89 inference(contradiction_clause,[status(thm)],[f8524])).
% 11.61/1.89 fof(f8526,plain,(
% 11.61/1.89 $false),
% 11.61/1.89 inference(sat_refutation,[status(thm)],[f18,f206,f246,f640,f1443,f1455,f2370,f2588,f8525])).
% 11.61/1.89 % SZS output end CNFRefutation for theBenchmark.p
% 12.38/1.95 % Elapsed time: 1.591267 seconds
% 12.38/1.95 % CPU time: 12.450361 seconds
% 12.38/1.95 % Total memory used: 441.533 MB
% 12.38/1.95 % Net memory used: 436.255 MB
%------------------------------------------------------------------------------