TSTP Solution File: LCL067-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL067-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:18:09 EDT 2023
% Result : Unsatisfiable 46.41s 6.25s
% Output : CNFRefutation 47.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL067-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.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 : Tue May 30 09:36:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.34 % Drodi V3.5.1
% 46.41/6.25 % Refutation found
% 46.41/6.25 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 46.41/6.25 % SZS output start CNFRefutation for theBenchmark
% 46.41/6.25 fof(f1,axiom,(
% 46.41/6.25 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 46.41/6.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.41/6.25 fof(f2,axiom,(
% 46.41/6.25 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))) ))),
% 46.41/6.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.41/6.25 fof(f3,axiom,(
% 46.41/6.25 (![X,Y,Z]: (is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))) ))),
% 46.41/6.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.41/6.25 fof(f4,axiom,(
% 46.41/6.25 (![X,Z,Y]: (is_a_theorem(implies(implies(not(X),Z),implies(implies(Y,Z),implies(implies(X,Y),Z)))) ))),
% 46.41/6.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.41/6.25 fof(f5,negated_conjecture,(
% 46.41/6.25 ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ),
% 46.41/6.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.41/6.25 fof(f6,plain,(
% 46.41/6.25 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 46.41/6.25 inference(miniscoping,[status(esa)],[f1])).
% 46.41/6.25 fof(f7,plain,(
% 46.41/6.25 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 46.41/6.25 inference(cnf_transformation,[status(esa)],[f6])).
% 46.41/6.25 fof(f8,plain,(
% 46.41/6.25 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 46.41/6.25 inference(cnf_transformation,[status(esa)],[f2])).
% 46.41/6.25 fof(f9,plain,(
% 46.41/6.25 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))))),
% 46.41/6.25 inference(cnf_transformation,[status(esa)],[f3])).
% 46.41/6.25 fof(f10,plain,(
% 46.41/6.25 ![X0,X1,X2]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X2,X1),implies(implies(X0,X2),X1)))))),
% 46.41/6.25 inference(cnf_transformation,[status(esa)],[f4])).
% 46.41/6.25 fof(f11,plain,(
% 46.41/6.25 ~is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))),
% 46.41/6.25 inference(cnf_transformation,[status(esa)],[f5])).
% 46.41/6.25 fof(f12,plain,(
% 46.41/6.25 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 46.41/6.25 inference(resolution,[status(thm)],[f8,f7])).
% 46.41/6.25 fof(f13,plain,(
% 46.41/6.25 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 46.41/6.25 inference(resolution,[status(thm)],[f12,f8])).
% 46.41/6.25 fof(f14,plain,(
% 46.41/6.25 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))))),
% 46.41/6.25 inference(resolution,[status(thm)],[f13,f12])).
% 46.41/6.25 fof(f15,plain,(
% 46.41/6.25 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 46.41/6.25 inference(resolution,[status(thm)],[f13,f7])).
% 46.41/6.25 fof(f16,plain,(
% 46.41/6.25 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X0))))))),
% 46.41/6.25 inference(resolution,[status(thm)],[f14,f12])).
% 46.41/6.25 fof(f18,plain,(
% 46.41/6.25 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3)))))),
% 46.41/6.25 inference(resolution,[status(thm)],[f15,f8])).
% 46.41/6.25 fof(f20,plain,(
% 46.41/6.25 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 46.41/6.25 inference(resolution,[status(thm)],[f15,f13])).
% 46.41/6.25 fof(f25,plain,(
% 46.41/6.25 spl0_0 <=> ~is_a_theorem(X0)),
% 46.41/6.25 introduced(split_symbol_definition)).
% 46.41/6.25 fof(f26,plain,(
% 46.41/6.25 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 46.41/6.25 inference(component_clause,[status(thm)],[f25])).
% 46.41/6.25 fof(f28,plain,(
% 46.41/6.25 spl0_1 <=> is_a_theorem(implies(X1,implies(X2,X1)))),
% 46.41/6.25 introduced(split_symbol_definition)).
% 46.41/6.25 fof(f29,plain,(
% 46.41/6.25 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_1)),
% 46.41/6.25 inference(component_clause,[status(thm)],[f28])).
% 46.41/6.25 fof(f31,plain,(
% 46.41/6.25 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1))))),
% 46.41/6.25 inference(resolution,[status(thm)],[f20,f7])).
% 46.41/6.25 fof(f32,plain,(
% 46.41/6.25 spl0_0|spl0_1),
% 46.41/6.25 inference(split_clause,[status(thm)],[f31,f25,f28])).
% 46.41/6.25 fof(f38,plain,(
% 46.41/6.25 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X1)))))))),
% 46.41/6.25 inference(resolution,[status(thm)],[f16,f15])).
% 46.41/6.25 fof(f63,plain,(
% 46.41/6.25 spl0_4 <=> is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
% 46.41/6.25 introduced(split_symbol_definition)).
% 46.41/6.25 fof(f64,plain,(
% 46.41/6.25 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~spl0_4)),
% 46.41/6.25 inference(component_clause,[status(thm)],[f63])).
% 46.41/6.25 fof(f66,plain,(
% 46.41/6.25 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))))),
% 46.41/6.26 inference(resolution,[status(thm)],[f18,f7])).
% 46.41/6.26 fof(f67,plain,(
% 46.41/6.26 spl0_0|spl0_4),
% 46.41/6.26 inference(split_clause,[status(thm)],[f66,f25,f63])).
% 46.41/6.26 fof(f99,plain,(
% 46.41/6.26 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(not(X0),X2)))),
% 46.41/6.26 inference(resolution,[status(thm)],[f9,f7])).
% 46.41/6.26 fof(f104,plain,(
% 46.41/6.26 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))))),
% 46.41/6.26 inference(resolution,[status(thm)],[f99,f8])).
% 46.41/6.26 fof(f114,plain,(
% 46.41/6.26 ![X0,X1,X2]: (is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))))),
% 46.41/6.26 inference(resolution,[status(thm)],[f99,f13])).
% 46.41/6.26 fof(f118,plain,(
% 46.41/6.26 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(not(implies(X1,X2)),implies(X2,X3)))))),
% 46.41/6.26 inference(resolution,[status(thm)],[f104,f15])).
% 46.41/6.26 fof(f122,plain,(
% 46.41/6.26 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(not(X1),implies(X2,implies(X1,X3))))))),
% 46.41/6.26 inference(resolution,[status(thm)],[f114,f15])).
% 46.41/6.26 fof(f133,plain,(
% 46.41/6.26 spl0_8 <=> is_a_theorem(implies(not(implies(X1,X2)),implies(X2,X3)))),
% 46.41/6.26 introduced(split_symbol_definition)).
% 46.41/6.26 fof(f134,plain,(
% 46.41/6.26 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2)))|~spl0_8)),
% 46.41/6.26 inference(component_clause,[status(thm)],[f133])).
% 46.41/6.26 fof(f136,plain,(
% 46.41/6.26 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(not(implies(X1,X2)),implies(X2,X3))))),
% 46.41/6.26 inference(resolution,[status(thm)],[f118,f7])).
% 46.41/6.26 fof(f137,plain,(
% 46.41/6.26 spl0_0|spl0_8),
% 46.41/6.26 inference(split_clause,[status(thm)],[f136,f25,f133])).
% 46.41/6.26 fof(f143,plain,(
% 46.41/6.26 spl0_9 <=> is_a_theorem(implies(not(X1),implies(X2,implies(X1,X3))))),
% 46.41/6.26 introduced(split_symbol_definition)).
% 46.41/6.26 fof(f144,plain,(
% 46.41/6.26 ![X0,X1,X2]: (is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2))))|~spl0_9)),
% 46.41/6.26 inference(component_clause,[status(thm)],[f143])).
% 46.41/6.26 fof(f146,plain,(
% 46.41/6.26 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X1),implies(X2,implies(X1,X3)))))),
% 46.41/6.26 inference(resolution,[status(thm)],[f122,f7])).
% 46.41/6.26 fof(f147,plain,(
% 46.41/6.26 spl0_0|spl0_9),
% 46.41/6.26 inference(split_clause,[status(thm)],[f146,f25,f143])).
% 46.41/6.26 fof(f159,plain,(
% 46.41/6.26 spl0_10 <=> is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1)))))),
% 46.41/6.26 introduced(split_symbol_definition)).
% 46.41/6.26 fof(f160,plain,(
% 46.41/6.26 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X0)))))|~spl0_10)),
% 46.41/6.26 inference(component_clause,[status(thm)],[f159])).
% 46.41/6.26 fof(f162,plain,(
% 46.41/6.26 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1))))))),
% 46.41/6.26 inference(resolution,[status(thm)],[f38,f7])).
% 46.41/6.26 fof(f163,plain,(
% 46.41/6.26 spl0_0|spl0_10),
% 46.41/6.26 inference(split_clause,[status(thm)],[f162,f25,f159])).
% 46.41/6.26 fof(f167,plain,(
% 46.41/6.26 ![X0,X1,X2]: (is_a_theorem(implies(not(not(X0)),implies(implies(X1,X2),implies(implies(X0,X1),X2)))))),
% 46.41/6.26 inference(resolution,[status(thm)],[f10,f99])).
% 46.41/6.26 fof(f169,plain,(
% 46.41/6.26 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1))))),
% 46.41/6.26 inference(resolution,[status(thm)],[f10,f7])).
% 46.41/6.26 fof(f196,plain,(
% 46.41/6.26 $false|~spl0_0),
% 46.41/6.26 inference(backward_subsumption_resolution,[status(thm)],[f167,f26])).
% 46.41/6.26 fof(f197,plain,(
% 46.41/6.26 ~spl0_0),
% 46.41/6.26 inference(contradiction_clause,[status(thm)],[f196])).
% 46.41/6.26 fof(f424,plain,(
% 46.41/6.26 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X3,X1),X0),implies(X1,X2))))|~spl0_8)),
% 46.41/6.26 inference(resolution,[status(thm)],[f169,f134])).
% 46.41/6.26 fof(f425,plain,(
% 46.41/6.26 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X2,X0),implies(X1,implies(X2,X3)))))|~spl0_9)),
% 46.41/6.26 inference(resolution,[status(thm)],[f169,f144])).
% 46.41/6.26 fof(f564,plain,(
% 46.41/6.26 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(implies(X3,X1),X0),implies(X1,X2)))|~spl0_8)),
% 46.41/6.26 inference(resolution,[status(thm)],[f424,f7])).
% 46.41/6.26 fof(f607,plain,(
% 46.41/6.26 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X2,X1),X3)),implies(X1,X3)))|~spl0_8|~spl0_4)),
% 46.41/6.26 inference(resolution,[status(thm)],[f564,f64])).
% 46.41/6.26 fof(f659,plain,(
% 46.41/6.26 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))|is_a_theorem(implies(implies(X2,X0),implies(X1,implies(X2,X3))))|~spl0_9)),
% 47.50/6.36 inference(resolution,[status(thm)],[f425,f7])).
% 47.50/6.36 fof(f758,plain,(
% 47.50/6.36 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),X3)))|is_a_theorem(implies(X1,X3))|~spl0_8|~spl0_4)),
% 47.50/6.36 inference(resolution,[status(thm)],[f607,f7])).
% 47.50/6.36 fof(f1022,plain,(
% 47.50/6.36 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_8|~spl0_4)),
% 47.50/6.36 inference(resolution,[status(thm)],[f758,f64])).
% 47.50/6.36 fof(f1064,plain,(
% 47.50/6.36 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X1,X2)))|~spl0_4|~spl0_8)),
% 47.50/6.36 inference(resolution,[status(thm)],[f1022,f564])).
% 47.50/6.36 fof(f1227,plain,(
% 47.50/6.36 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),implies(X1,X2)))|is_a_theorem(implies(X1,X2))|~spl0_4|~spl0_8)),
% 47.50/6.36 inference(resolution,[status(thm)],[f1064,f7])).
% 47.50/6.36 fof(f1605,plain,(
% 47.50/6.36 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,implies(X3,X1)))))|~spl0_9|~spl0_10)),
% 47.50/6.36 inference(resolution,[status(thm)],[f659,f160])).
% 47.50/6.36 fof(f1611,plain,(
% 47.50/6.36 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))))|~spl0_9|~spl0_1)),
% 47.50/6.36 inference(resolution,[status(thm)],[f659,f29])).
% 47.50/6.36 fof(f1759,plain,(
% 47.50/6.36 spl0_57 <=> is_a_theorem(X1)),
% 47.50/6.36 introduced(split_symbol_definition)).
% 47.50/6.36 fof(f1760,plain,(
% 47.50/6.36 ![X0]: (is_a_theorem(X0)|~spl0_57)),
% 47.50/6.36 inference(component_clause,[status(thm)],[f1759])).
% 47.50/6.36 fof(f1863,plain,(
% 47.50/6.36 $false|~spl0_57),
% 47.50/6.36 inference(backward_subsumption_resolution,[status(thm)],[f11,f1760])).
% 47.50/6.36 fof(f1864,plain,(
% 47.50/6.36 ~spl0_57),
% 47.50/6.36 inference(contradiction_clause,[status(thm)],[f1863])).
% 47.50/6.36 fof(f4158,plain,(
% 47.50/6.36 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X2,implies(X0,X1)))|~spl0_9|~spl0_1)),
% 47.50/6.36 inference(resolution,[status(thm)],[f1611,f7])).
% 47.50/6.36 fof(f5274,plain,(
% 47.50/6.36 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2))))|~spl0_9|~spl0_1)),
% 47.50/6.36 inference(resolution,[status(thm)],[f4158,f1611])).
% 47.50/6.36 fof(f6972,plain,(
% 47.50/6.36 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))|~spl0_9|~spl0_1|~spl0_4|~spl0_8)),
% 47.50/6.36 inference(resolution,[status(thm)],[f5274,f1227])).
% 47.50/6.36 fof(f7014,plain,(
% 47.50/6.36 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X0,X1))|~spl0_9|~spl0_1|~spl0_4|~spl0_8)),
% 47.50/6.36 inference(resolution,[status(thm)],[f6972,f7])).
% 47.50/6.36 fof(f7038,plain,(
% 47.50/6.36 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1))))|~spl0_1|~spl0_4|~spl0_8|~spl0_9|~spl0_10)),
% 47.50/6.36 inference(resolution,[status(thm)],[f7014,f1605])).
% 47.50/6.36 fof(f12158,plain,(
% 47.50/6.36 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))|~spl0_1|~spl0_4|~spl0_8|~spl0_9|~spl0_10)),
% 47.50/6.36 inference(resolution,[status(thm)],[f659,f7038])).
% 47.50/6.36 fof(f51795,plain,(
% 47.50/6.36 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X1,implies(X0,X2)))|~spl0_1|~spl0_4|~spl0_8|~spl0_9|~spl0_10)),
% 47.50/6.36 inference(resolution,[status(thm)],[f12158,f7])).
% 47.50/6.36 fof(f82652,plain,(
% 47.50/6.36 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1))))|~spl0_1|~spl0_4|~spl0_8|~spl0_9|~spl0_10)),
% 47.50/6.36 inference(resolution,[status(thm)],[f51795,f7038])).
% 47.50/6.36 fof(f83331,plain,(
% 47.50/6.36 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))|~spl0_1|~spl0_4|~spl0_8|~spl0_10|~spl0_9)),
% 47.50/6.36 inference(resolution,[status(thm)],[f82652,f659])).
% 47.50/6.36 fof(f112122,plain,(
% 47.50/6.36 $false|~spl0_1|~spl0_4|~spl0_8|~spl0_10|~spl0_9),
% 47.50/6.36 inference(backward_subsumption_resolution,[status(thm)],[f11,f83331])).
% 47.50/6.36 fof(f112123,plain,(
% 47.50/6.36 ~spl0_1|~spl0_4|~spl0_8|~spl0_10|~spl0_9),
% 47.50/6.36 inference(contradiction_clause,[status(thm)],[f112122])).
% 47.50/6.36 fof(f112124,plain,(
% 47.50/6.36 $false),
% 47.50/6.36 inference(sat_refutation,[status(thm)],[f32,f67,f137,f147,f163,f197,f1864,f112123])).
% 47.50/6.36 % SZS output end CNFRefutation for theBenchmark.p
% 47.50/6.38 % Elapsed time: 6.023547 seconds
% 47.50/6.38 % CPU time: 47.559039 seconds
% 47.50/6.38 % Memory used: 683.251 MB
%------------------------------------------------------------------------------