TSTP Solution File: LCL379-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL379-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:19:07 EDT 2023
% Result : Unsatisfiable 3.32s 0.92s
% Output : CNFRefutation 3.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.19 % Problem : LCL379-1 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.19 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.39 % Computer : n012.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8042.1875MB
% 0.09/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Tue May 30 09:43:25 EDT 2023
% 0.09/0.40 % CPUTime :
% 0.09/0.40 % Drodi V3.5.1
% 3.32/0.92 % Refutation found
% 3.32/0.92 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.32/0.92 % SZS output start CNFRefutation for theBenchmark
% 3.32/0.92 fof(f1,axiom,(
% 3.32/0.92 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 3.32/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.32/0.92 fof(f2,axiom,(
% 3.32/0.92 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 3.32/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.32/0.92 fof(f3,axiom,(
% 3.32/0.92 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 3.32/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.32/0.92 fof(f4,axiom,(
% 3.32/0.92 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 3.32/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.32/0.92 fof(f5,negated_conjecture,(
% 3.32/0.92 ~ is_a_theorem(implies(implies(x,not(x)),not(x))) ),
% 3.32/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.32/0.92 fof(f6,plain,(
% 3.32/0.92 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 3.32/0.92 inference(miniscoping,[status(esa)],[f1])).
% 3.32/0.92 fof(f7,plain,(
% 3.32/0.92 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 3.32/0.92 inference(cnf_transformation,[status(esa)],[f6])).
% 3.32/0.92 fof(f8,plain,(
% 3.32/0.92 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 3.32/0.92 inference(cnf_transformation,[status(esa)],[f2])).
% 3.32/0.92 fof(f9,plain,(
% 3.32/0.92 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 3.32/0.92 inference(cnf_transformation,[status(esa)],[f3])).
% 3.32/0.92 fof(f10,plain,(
% 3.32/0.92 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 3.32/0.92 inference(cnf_transformation,[status(esa)],[f4])).
% 3.32/0.92 fof(f11,plain,(
% 3.32/0.92 ~is_a_theorem(implies(implies(x,not(x)),not(x)))),
% 3.32/0.92 inference(cnf_transformation,[status(esa)],[f5])).
% 3.32/0.92 fof(f12,plain,(
% 3.32/0.92 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X0))),
% 3.32/0.92 inference(resolution,[status(thm)],[f7,f9])).
% 3.32/0.92 fof(f13,plain,(
% 3.32/0.92 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 3.32/0.92 inference(resolution,[status(thm)],[f7,f10])).
% 3.32/0.92 fof(f14,plain,(
% 3.32/0.92 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f8,f7])).
% 3.32/0.92 fof(f37,plain,(
% 3.32/0.92 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f14,f9])).
% 3.32/0.92 fof(f38,plain,(
% 3.32/0.92 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f14,f8])).
% 3.32/0.92 fof(f39,plain,(
% 3.32/0.92 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f14,f10])).
% 3.32/0.92 fof(f44,plain,(
% 3.32/0.92 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 3.32/0.92 inference(resolution,[status(thm)],[f39,f7])).
% 3.32/0.92 fof(f60,plain,(
% 3.32/0.92 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 3.32/0.92 inference(resolution,[status(thm)],[f44,f9])).
% 3.32/0.92 fof(f62,plain,(
% 3.32/0.92 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f44,f8])).
% 3.32/0.92 fof(f76,plain,(
% 3.32/0.92 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 3.32/0.92 inference(resolution,[status(thm)],[f38,f7])).
% 3.32/0.92 fof(f81,plain,(
% 3.32/0.92 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1)))),
% 3.32/0.92 inference(resolution,[status(thm)],[f60,f13])).
% 3.32/0.92 fof(f85,plain,(
% 3.32/0.92 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f81,f14])).
% 3.32/0.92 fof(f124,plain,(
% 3.32/0.92 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f62,f7])).
% 3.32/0.92 fof(f127,plain,(
% 3.32/0.92 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f85,f44])).
% 3.32/0.92 fof(f137,plain,(
% 3.32/0.92 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f127,f14])).
% 3.32/0.92 fof(f138,plain,(
% 3.32/0.92 spl0_6 <=> ~is_a_theorem(X0)),
% 3.32/0.92 introduced(split_symbol_definition)).
% 3.32/0.92 fof(f139,plain,(
% 3.32/0.92 ![X0]: (~is_a_theorem(X0)|~spl0_6)),
% 3.32/0.92 inference(component_clause,[status(thm)],[f138])).
% 3.32/0.92 fof(f141,plain,(
% 3.32/0.92 spl0_7 <=> is_a_theorem(implies(not(implies(X1,X1)),X2))),
% 3.32/0.92 introduced(split_symbol_definition)).
% 3.32/0.92 fof(f142,plain,(
% 3.32/0.92 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1))|~spl0_7)),
% 3.32/0.92 inference(component_clause,[status(thm)],[f141])).
% 3.32/0.92 fof(f144,plain,(
% 3.32/0.92 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(not(implies(X1,X1)),X2)))),
% 3.32/0.92 inference(resolution,[status(thm)],[f127,f7])).
% 3.32/0.92 fof(f145,plain,(
% 3.32/0.92 spl0_6|spl0_7),
% 3.32/0.92 inference(split_clause,[status(thm)],[f144,f138,f141])).
% 3.32/0.92 fof(f203,plain,(
% 3.32/0.92 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(not(implies(X0,X0)),X1),X2))|is_a_theorem(implies(X3,X2)))),
% 3.32/0.92 inference(resolution,[status(thm)],[f137,f7])).
% 3.32/0.92 fof(f209,plain,(
% 3.32/0.92 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f203,f9])).
% 3.32/0.92 fof(f223,plain,(
% 3.32/0.92 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f209,f14])).
% 3.32/0.92 fof(f270,plain,(
% 3.32/0.92 $false|~spl0_6),
% 3.32/0.92 inference(forward_subsumption_resolution,[status(thm)],[f60,f139])).
% 3.32/0.92 fof(f271,plain,(
% 3.32/0.92 ~spl0_6),
% 3.32/0.92 inference(contradiction_clause,[status(thm)],[f270])).
% 3.32/0.92 fof(f361,plain,(
% 3.32/0.92 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(X2,X1)))),
% 3.32/0.92 inference(resolution,[status(thm)],[f223,f7])).
% 3.32/0.92 fof(f493,plain,(
% 3.32/0.92 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(not(implies(not(implies(X2,X2)),X3)),X1)))|~spl0_7)),
% 3.32/0.92 inference(resolution,[status(thm)],[f124,f142])).
% 3.32/0.92 fof(f508,plain,(
% 3.32/0.92 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f39,f361])).
% 3.32/0.92 fof(f520,plain,(
% 3.32/0.92 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(not(X0),X1)),X2),implies(X3,X2))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f508,f14])).
% 3.32/0.92 fof(f530,plain,(
% 3.32/0.92 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f37,f361])).
% 3.32/0.92 fof(f542,plain,(
% 3.32/0.92 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f530,f14])).
% 3.32/0.92 fof(f598,plain,(
% 3.32/0.92 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(not(implies(not(implies(X1,X1)),X2)),X3)))|~spl0_7)),
% 3.32/0.92 inference(resolution,[status(thm)],[f493,f44])).
% 3.32/0.92 fof(f611,plain,(
% 3.32/0.92 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(not(implies(not(implies(X0,X0)),X1)),X2),X3),implies(X4,X3)))|~spl0_7)),
% 3.32/0.92 inference(resolution,[status(thm)],[f598,f14])).
% 3.32/0.92 fof(f1435,plain,(
% 3.32/0.92 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))|is_a_theorem(implies(X2,X1)))),
% 3.32/0.92 inference(resolution,[status(thm)],[f542,f7])).
% 3.32/0.92 fof(f1822,plain,(
% 3.32/0.92 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f76,f542])).
% 3.32/0.92 fof(f1827,plain,(
% 3.32/0.92 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(X0,not(implies(not(implies(X1,X1)),X2))),implies(X3,implies(X0,X4))))|~spl0_7)),
% 3.32/0.92 inference(resolution,[status(thm)],[f76,f611])).
% 3.32/0.92 fof(f1889,plain,(
% 3.32/0.92 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2))))|~spl0_7)),
% 3.32/0.92 inference(resolution,[status(thm)],[f1827,f44])).
% 3.32/0.92 fof(f1908,plain,(
% 3.32/0.92 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3)))|~spl0_7)),
% 3.32/0.92 inference(resolution,[status(thm)],[f1889,f14])).
% 3.32/0.92 fof(f2234,plain,(
% 3.32/0.92 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))|is_a_theorem(implies(X1,X3))|~spl0_7)),
% 3.32/0.92 inference(resolution,[status(thm)],[f1908,f7])).
% 3.32/0.92 fof(f3109,plain,(
% 3.32/0.92 ![X0,X1,X2]: (is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X1,X0),X0)))))),
% 3.32/0.92 inference(resolution,[status(thm)],[f1822,f76])).
% 3.32/0.92 fof(f3113,plain,(
% 3.32/0.92 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X0))))|~spl0_7)),
% 3.32/0.92 inference(resolution,[status(thm)],[f1822,f2234])).
% 3.32/0.92 fof(f3119,plain,(
% 3.32/0.92 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X2,implies(X0,X1))))),
% 3.90/0.94 inference(resolution,[status(thm)],[f1822,f7])).
% 3.90/0.94 fof(f3693,plain,(
% 3.90/0.94 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X2,X3)))|~spl0_7)),
% 3.90/0.94 inference(resolution,[status(thm)],[f3113,f14])).
% 3.90/0.94 fof(f4207,plain,(
% 3.90/0.94 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~spl0_7)),
% 3.90/0.94 inference(resolution,[status(thm)],[f3693,f1435])).
% 3.90/0.94 fof(f4231,plain,(
% 3.90/0.94 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_7)),
% 3.90/0.94 inference(resolution,[status(thm)],[f4207,f12])).
% 3.90/0.94 fof(f4274,plain,(
% 3.90/0.94 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~spl0_7)),
% 3.90/0.94 inference(resolution,[status(thm)],[f4231,f14])).
% 3.90/0.94 fof(f5191,plain,(
% 3.90/0.94 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(implies(not(X1),X1),X1),X2),X2))))),
% 3.90/0.94 inference(resolution,[status(thm)],[f3119,f542])).
% 3.90/0.94 fof(f5935,plain,(
% 3.90/0.94 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2))|~spl0_7)),
% 3.90/0.94 inference(resolution,[status(thm)],[f4274,f7])).
% 3.90/0.94 fof(f5976,plain,(
% 3.90/0.94 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2))))|~spl0_7)),
% 3.90/0.94 inference(resolution,[status(thm)],[f5935,f3109])).
% 3.90/0.94 fof(f6285,plain,(
% 3.90/0.94 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2))))|~spl0_7)),
% 3.90/0.94 inference(resolution,[status(thm)],[f5976,f3119])).
% 3.90/0.94 fof(f6376,plain,(
% 3.90/0.94 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))|~spl0_7)),
% 3.90/0.94 inference(resolution,[status(thm)],[f6285,f12])).
% 3.90/0.94 fof(f6432,plain,(
% 3.90/0.94 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))|~spl0_7)),
% 3.90/0.94 inference(resolution,[status(thm)],[f6376,f14])).
% 3.90/0.94 fof(f7928,plain,(
% 3.90/0.94 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 3.90/0.94 inference(resolution,[status(thm)],[f5191,f12])).
% 3.90/0.94 fof(f7973,plain,(
% 3.90/0.94 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 3.90/0.94 inference(resolution,[status(thm)],[f7928,f76])).
% 3.90/0.94 fof(f8009,plain,(
% 3.90/0.94 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 3.90/0.94 inference(resolution,[status(thm)],[f7973,f76])).
% 3.90/0.94 fof(f8026,plain,(
% 3.90/0.94 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 3.90/0.94 inference(resolution,[status(thm)],[f7973,f7])).
% 3.90/0.94 fof(f8154,plain,(
% 3.90/0.94 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X1,X0),X0)))),
% 3.90/0.94 inference(resolution,[status(thm)],[f8009,f7])).
% 3.90/0.94 fof(f8181,plain,(
% 3.90/0.94 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(not(X0),X1)),X2),X2)))),
% 3.90/0.94 inference(resolution,[status(thm)],[f8026,f520])).
% 3.90/0.94 fof(f8590,plain,(
% 3.90/0.94 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))|is_a_theorem(X2))),
% 3.90/0.94 inference(resolution,[status(thm)],[f8181,f7])).
% 3.90/0.94 fof(f18307,plain,(
% 3.90/0.94 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))|~spl0_7)),
% 3.90/0.94 inference(resolution,[status(thm)],[f6432,f76])).
% 3.90/0.94 fof(f24289,plain,(
% 3.90/0.94 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1)))|~spl0_7)),
% 3.90/0.94 inference(resolution,[status(thm)],[f18307,f8590])).
% 3.90/0.94 fof(f24350,plain,(
% 3.90/0.94 ![X0]: (is_a_theorem(implies(not(not(X0)),X0))|~spl0_7)),
% 3.90/0.94 inference(resolution,[status(thm)],[f24289,f8026])).
% 3.90/0.94 fof(f24387,plain,(
% 3.90/0.94 ![X0]: (is_a_theorem(implies(implies(X0,not(X0)),not(X0)))|~spl0_7)),
% 3.90/0.94 inference(resolution,[status(thm)],[f24350,f8154])).
% 3.90/0.94 fof(f29001,plain,(
% 3.90/0.94 $false|~spl0_7),
% 3.90/0.94 inference(backward_subsumption_resolution,[status(thm)],[f11,f24387])).
% 3.90/0.94 fof(f29002,plain,(
% 3.90/0.94 ~spl0_7),
% 3.90/0.94 inference(contradiction_clause,[status(thm)],[f29001])).
% 3.90/0.94 fof(f29003,plain,(
% 3.90/0.94 $false),
% 3.90/0.94 inference(sat_refutation,[status(thm)],[f145,f271,f29002])).
% 3.90/0.94 % SZS output end CNFRefutation for theBenchmark.p
% 3.90/0.95 % Elapsed time: 0.551765 seconds
% 3.90/0.95 % CPU time: 4.002431 seconds
% 3.90/0.95 % Memory used: 96.267 MB
%------------------------------------------------------------------------------