TSTP Solution File: LCL090-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL090-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:18:13 EDT 2023
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : LCL090-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33 % Computer : n032.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Tue May 30 09:40:31 EDT 2023
% 0.09/0.33 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f1,axiom,(
% 0.14/0.41 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f2,axiom,(
% 0.14/0.41 (![P,Q,R,S,T]: (is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P))))) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f3,negated_conjecture,(
% 0.14/0.41 ~ is_a_theorem(implies(a,a)) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f4,plain,(
% 0.14/0.41 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.14/0.41 inference(miniscoping,[status(esa)],[f1])).
% 0.14/0.41 fof(f5,plain,(
% 0.14/0.41 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.41 fof(f6,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(X3,X0),implies(X4,implies(X2,X0))))))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.41 fof(f7,plain,(
% 0.14/0.41 ~is_a_theorem(implies(a,a))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.41 fof(f8,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0)))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f6,f5])).
% 0.14/0.41 fof(f9,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X2,X3)),implies(X4,implies(implies(X5,X2),implies(X2,X3))))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f8,f6])).
% 0.14/0.41 fof(f10,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X4,X1))),implies(X5,implies(X6,implies(X3,implies(X4,X1)))))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f9,f8])).
% 0.14/0.41 fof(f11,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,X3)))|is_a_theorem(implies(X4,implies(implies(X5,X2),implies(X2,X3)))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f9,f5])).
% 0.14/0.41 fof(f12,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X4,X3),implies(X3,X5))),implies(X6,implies(X7,implies(implies(X4,X3),implies(X3,X5)))))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f10,f8])).
% 0.14/0.41 fof(f13,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X4,X1))))|is_a_theorem(implies(X5,implies(X6,implies(X3,implies(X4,X1))))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f10,f5])).
% 0.14/0.41 fof(f15,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f11,f9])).
% 0.14/0.41 fof(f17,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X0))),X3),implies(X4,implies(implies(X5,X0),X3)))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f15,f8])).
% 0.14/0.41 fof(f18,plain,(
% 0.14/0.41 spl0_0 <=> ~is_a_theorem(X0)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f19,plain,(
% 0.14/0.41 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f18])).
% 0.14/0.41 fof(f33,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X5,X2)))))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f17,f11])).
% 0.14/0.41 fof(f69,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X4,X3),implies(X3,X5))))|is_a_theorem(implies(X6,implies(X7,implies(implies(X4,X3),implies(X3,X5))))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f12,f5])).
% 0.14/0.41 fof(f72,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X3,implies(implies(X4,X5),implies(X6,X3))))))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f13,f33])).
% 0.14/0.41 fof(f76,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X4,X1)))),X5),implies(X6,implies(X7,X5)))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f72,f8])).
% 0.14/0.41 fof(f101,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f76,f11])).
% 0.14/0.41 fof(f108,plain,(
% 0.14/0.41 spl0_8 <=> is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f109,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,implies(X3,X1)))))|~spl0_8)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f108])).
% 0.14/0.41 fof(f111,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f101,f5])).
% 0.14/0.41 fof(f112,plain,(
% 0.14/0.41 spl0_0|spl0_8),
% 0.14/0.41 inference(split_clause,[status(thm)],[f111,f18,f108])).
% 0.14/0.41 fof(f146,plain,(
% 0.14/0.41 $false|~spl0_0),
% 0.14/0.41 inference(backward_subsumption_resolution,[status(thm)],[f76,f19])).
% 0.14/0.41 fof(f147,plain,(
% 0.14/0.41 ~spl0_0),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f146])).
% 0.14/0.41 fof(f277,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X2,X3))))|~spl0_8)),
% 0.14/0.41 inference(resolution,[status(thm)],[f8,f109])).
% 0.14/0.41 fof(f834,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f69,f6])).
% 0.14/0.41 fof(f872,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X1),implies(X1,implies(X2,X1))),X3),implies(X4,implies(X5,X3)))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f834,f8])).
% 0.14/0.41 fof(f875,plain,(
% 0.14/0.41 spl0_37 <=> is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f876,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2)))))|~spl0_37)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f875])).
% 0.14/0.41 fof(f878,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3))))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f834,f5])).
% 0.14/0.41 fof(f879,plain,(
% 0.14/0.41 spl0_0|spl0_37),
% 0.14/0.41 inference(split_clause,[status(thm)],[f878,f18,f875])).
% 0.14/0.41 fof(f911,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),X1),implies(X1,implies(X2,X1))),X3))|is_a_theorem(implies(X4,implies(X5,X3))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f872,f5])).
% 0.14/0.41 fof(f1007,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,implies(implies(implies(X4,X0),X0),X2))))|~spl0_37)),
% 0.14/0.41 inference(resolution,[status(thm)],[f876,f8])).
% 0.14/0.41 fof(f1093,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X1),X2),implies(X1,implies(X3,X1))),implies(X4,implies(X5,implies(X1,implies(X3,X1))))))|~spl0_37)),
% 0.14/0.41 inference(resolution,[status(thm)],[f1007,f8])).
% 0.14/0.41 fof(f1217,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X4)))))))|~spl0_37)),
% 0.14/0.41 inference(resolution,[status(thm)],[f1093,f911])).
% 0.14/0.41 fof(f1241,plain,(
% 0.14/0.41 spl0_45 <=> is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X4))))))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1242,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X3))))))|~spl0_45)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f1241])).
% 0.14/0.41 fof(f1244,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X4))))))|~spl0_37)),
% 0.14/0.41 inference(resolution,[status(thm)],[f1217,f5])).
% 0.14/0.41 fof(f1245,plain,(
% 0.14/0.41 spl0_0|spl0_45|~spl0_37),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1244,f18,f1241,f875])).
% 0.14/0.41 fof(f1254,plain,(
% 0.14/0.41 spl0_46 <=> is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3)))))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1255,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2)))))|~spl0_46)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f1254])).
% 0.14/0.41 fof(f1257,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3)))))|~spl0_45)),
% 0.14/0.41 inference(resolution,[status(thm)],[f1242,f5])).
% 0.14/0.41 fof(f1258,plain,(
% 0.14/0.41 spl0_0|spl0_46|~spl0_45),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1257,f18,f1254,f1241])).
% 0.14/0.41 fof(f1265,plain,(
% 0.14/0.41 spl0_47 <=> is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1266,plain,(
% 0.14/0.41 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~spl0_47)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f1265])).
% 0.14/0.41 fof(f1268,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))|~spl0_46)),
% 0.14/0.41 inference(resolution,[status(thm)],[f1255,f5])).
% 0.14/0.41 fof(f1269,plain,(
% 0.14/0.41 spl0_0|spl0_47|~spl0_46),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1268,f18,f1265,f1254])).
% 0.14/0.41 fof(f1276,plain,(
% 0.14/0.41 spl0_48 <=> is_a_theorem(implies(X1,implies(X2,X1)))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1277,plain,(
% 0.14/0.41 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_48)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f1276])).
% 0.14/0.41 fof(f1279,plain,(
% 0.14/0.41 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1)))|~spl0_47)),
% 0.14/0.41 inference(resolution,[status(thm)],[f1266,f5])).
% 0.14/0.41 fof(f1280,plain,(
% 0.14/0.41 spl0_0|spl0_48|~spl0_47),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1279,f18,f1276,f1265])).
% 0.14/0.41 fof(f1288,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,implies(X3,X0))))|~spl0_48)),
% 0.14/0.41 inference(resolution,[status(thm)],[f1277,f8])).
% 0.14/0.41 fof(f1349,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(X2,implies(X3,X0)))|~spl0_48)),
% 0.14/0.41 inference(resolution,[status(thm)],[f1288,f5])).
% 0.14/0.41 fof(f1847,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3)))))|~spl0_48|~spl0_8)),
% 0.14/0.41 inference(resolution,[status(thm)],[f1349,f277])).
% 0.14/0.41 fof(f1892,plain,(
% 0.14/0.41 spl0_55 <=> is_a_theorem(implies(X1,implies(X2,implies(X3,X3))))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1893,plain,(
% 0.14/0.41 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X2))))|~spl0_55)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f1892])).
% 0.14/0.41 fof(f1895,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,implies(X3,X3))))|~spl0_48|~spl0_8)),
% 0.14/0.41 inference(resolution,[status(thm)],[f1847,f5])).
% 0.14/0.41 fof(f1896,plain,(
% 0.14/0.41 spl0_0|spl0_55|~spl0_48|~spl0_8),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1895,f18,f1892,f1276,f108])).
% 0.14/0.41 fof(f1904,plain,(
% 0.14/0.41 spl0_56 <=> is_a_theorem(implies(X1,implies(X2,X2)))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1905,plain,(
% 0.14/0.41 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))|~spl0_56)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f1904])).
% 0.14/0.41 fof(f1907,plain,(
% 0.14/0.41 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X2)))|~spl0_55)),
% 0.14/0.41 inference(resolution,[status(thm)],[f1893,f5])).
% 0.14/0.41 fof(f1908,plain,(
% 0.14/0.41 spl0_0|spl0_56|~spl0_55),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1907,f18,f1904,f1892])).
% 0.14/0.41 fof(f1914,plain,(
% 0.14/0.41 spl0_57 <=> is_a_theorem(implies(X1,X1))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f1915,plain,(
% 0.14/0.41 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_57)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f1914])).
% 0.14/0.41 fof(f1917,plain,(
% 0.14/0.41 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X1))|~spl0_56)),
% 0.14/0.41 inference(resolution,[status(thm)],[f1905,f5])).
% 0.14/0.41 fof(f1918,plain,(
% 0.14/0.41 spl0_0|spl0_57|~spl0_56),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1917,f18,f1914,f1904])).
% 0.14/0.41 fof(f1923,plain,(
% 0.14/0.41 $false|~spl0_57),
% 0.14/0.41 inference(backward_subsumption_resolution,[status(thm)],[f7,f1915])).
% 0.14/0.41 fof(f1924,plain,(
% 0.14/0.41 ~spl0_57),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f1923])).
% 0.14/0.41 fof(f1925,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(sat_refutation,[status(thm)],[f112,f147,f879,f1245,f1258,f1269,f1280,f1896,f1908,f1918,f1924])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.088092 seconds
% 0.14/0.42 % CPU time: 0.304098 seconds
% 0.14/0.42 % Memory used: 23.746 MB
%------------------------------------------------------------------------------