TSTP Solution File: LCL034-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL034-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:18:04 EDT 2023
% Result : Unsatisfiable 5.44s 1.37s
% Output : CNFRefutation 5.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL034-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:00:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 5.44/1.37 % Refutation found
% 5.44/1.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.44/1.37 % SZS output start CNFRefutation for theBenchmark
% 5.44/1.37 fof(f1,axiom,(
% 5.44/1.37 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 5.44/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.44/1.37 fof(f2,axiom,(
% 5.44/1.37 (![X,Y,Z,U,V]: (is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),V),implies(implies(V,X),implies(Z,X)))) ))),
% 5.44/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.44/1.37 fof(f3,negated_conjecture,(
% 5.44/1.37 ~ is_a_theorem(implies(implies(implies(a,b),a),a)) ),
% 5.44/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.44/1.37 fof(f4,plain,(
% 5.44/1.37 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 5.44/1.37 inference(miniscoping,[status(esa)],[f1])).
% 5.44/1.37 fof(f5,plain,(
% 5.44/1.37 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 5.44/1.37 inference(cnf_transformation,[status(esa)],[f4])).
% 5.44/1.37 fof(f6,plain,(
% 5.44/1.37 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))))),
% 5.44/1.37 inference(cnf_transformation,[status(esa)],[f2])).
% 5.44/1.37 fof(f7,plain,(
% 5.44/1.37 ~is_a_theorem(implies(implies(implies(a,b),a),a))),
% 5.44/1.37 inference(cnf_transformation,[status(esa)],[f3])).
% 5.44/1.37 fof(f8,plain,(
% 5.44/1.37 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4))|is_a_theorem(implies(implies(X4,X0),implies(X2,X0))))),
% 5.44/1.37 inference(resolution,[status(thm)],[f6,f5])).
% 5.44/1.37 fof(f9,plain,(
% 5.44/1.37 ![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)))))),
% 5.44/1.37 inference(resolution,[status(thm)],[f8,f6])).
% 5.44/1.37 fof(f10,plain,(
% 5.44/1.37 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))))),
% 5.44/1.37 inference(resolution,[status(thm)],[f9,f8])).
% 5.44/1.37 fof(f11,plain,(
% 5.44/1.37 ![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))))),
% 5.44/1.37 inference(resolution,[status(thm)],[f9,f5])).
% 5.44/1.37 fof(f12,plain,(
% 5.44/1.37 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(falsehood,X2))))),
% 5.44/1.37 inference(resolution,[status(thm)],[f10,f8])).
% 5.44/1.37 fof(f13,plain,(
% 5.44/1.37 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(falsehood,X1)),X2))|is_a_theorem(implies(X3,X2)))),
% 5.44/1.37 inference(resolution,[status(thm)],[f10,f5])).
% 5.44/1.37 fof(f14,plain,(
% 5.44/1.37 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))))),
% 5.44/1.37 inference(resolution,[status(thm)],[f12,f8])).
% 5.44/1.37 fof(f15,plain,(
% 5.44/1.37 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(falsehood,X2)))),
% 5.44/1.37 inference(resolution,[status(thm)],[f12,f5])).
% 5.44/1.37 fof(f17,plain,(
% 5.44/1.37 ![X0,X1]: (is_a_theorem(implies(falsehood,implies(X0,X1))))),
% 5.44/1.37 inference(resolution,[status(thm)],[f15,f14])).
% 5.44/1.37 fof(f31,plain,(
% 5.44/1.37 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(falsehood,X1),X2),implies(X3,X2)))))),
% 5.44/1.37 inference(resolution,[status(thm)],[f13,f6])).
% 5.44/1.37 fof(f39,plain,(
% 5.44/1.37 spl0_2 <=> ~is_a_theorem(X0)),
% 5.44/1.37 introduced(split_symbol_definition)).
% 5.44/1.37 fof(f40,plain,(
% 5.44/1.37 ![X0]: (~is_a_theorem(X0)|~spl0_2)),
% 5.44/1.37 inference(component_clause,[status(thm)],[f39])).
% 5.44/1.37 fof(f47,plain,(
% 5.44/1.37 $false|~spl0_2),
% 5.44/1.37 inference(backward_subsumption_resolution,[status(thm)],[f17,f40])).
% 5.44/1.37 fof(f48,plain,(
% 5.44/1.37 ~spl0_2),
% 5.44/1.37 inference(contradiction_clause,[status(thm)],[f47])).
% 5.44/1.37 fof(f64,plain,(
% 5.44/1.37 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(falsehood,X0),X1),implies(X2,X1)),X3),implies(X4,X3))))),
% 5.44/1.37 inference(resolution,[status(thm)],[f31,f8])).
% 5.44/1.37 fof(f72,plain,(
% 5.44/1.37 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 5.44/1.37 inference(resolution,[status(thm)],[f11,f14])).
% 5.44/1.37 fof(f77,plain,(
% 5.44/1.37 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2))))),
% 5.44/1.37 inference(resolution,[status(thm)],[f72,f8])).
% 5.44/1.37 fof(f81,plain,(
% 5.44/1.37 spl0_5 <=> is_a_theorem(implies(X1,implies(X2,X1)))),
% 5.44/1.37 introduced(split_symbol_definition)).
% 5.44/1.37 fof(f82,plain,(
% 5.44/1.37 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_5)),
% 5.44/1.37 inference(component_clause,[status(thm)],[f81])).
% 5.44/1.37 fof(f84,plain,(
% 5.44/1.37 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1))))),
% 5.44/1.37 inference(resolution,[status(thm)],[f72,f5])).
% 5.44/1.37 fof(f85,plain,(
% 5.44/1.37 spl0_2|spl0_5),
% 5.44/1.37 inference(split_clause,[status(thm)],[f84,f39,f81])).
% 5.44/1.37 fof(f89,plain,(
% 5.44/1.37 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(implies(X3,X2)))),
% 5.44/1.37 inference(resolution,[status(thm)],[f77,f5])).
% 5.44/1.37 fof(f147,plain,(
% 5.44/1.37 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(implies(implies(X1,implies(implies(implies(X2,X3),implies(X4,falsehood)),X5)),X2),implies(X4,X2)))))),
% 5.44/1.37 inference(resolution,[status(thm)],[f6,f89])).
% 5.44/1.37 fof(f163,plain,(
% 5.44/1.37 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1),implies(X3,X1)))|~spl0_5)),
% 5.44/1.37 inference(resolution,[status(thm)],[f82,f8])).
% 5.44/1.37 fof(f339,plain,(
% 5.44/1.37 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),implies(X0,falsehood)),X2)))|~spl0_5)),
% 5.44/1.37 inference(resolution,[status(thm)],[f163,f8])).
% 5.44/1.37 fof(f342,plain,(
% 5.44/1.37 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1))|is_a_theorem(implies(X3,X1))|~spl0_5)),
% 5.44/1.37 inference(resolution,[status(thm)],[f163,f5])).
% 5.44/1.37 fof(f755,plain,(
% 5.44/1.37 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(implies(X0,falsehood),X1),implies(implies(X2,X3),falsehood)),X4),X2),implies(X0,X2)))|~spl0_5)),
% 5.44/1.37 inference(resolution,[status(thm)],[f339,f8])).
% 5.44/1.37 fof(f764,plain,(
% 5.44/1.37 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(implies(X1,X3),implies(X0,falsehood)),X2))|~spl0_5)),
% 5.44/1.37 inference(resolution,[status(thm)],[f339,f5])).
% 5.44/1.37 fof(f954,plain,(
% 5.44/1.37 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(implies(implies(implies(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1),implies(X3,X1)),X5),implies(X6,X5))))),
% 5.44/1.37 inference(resolution,[status(thm)],[f147,f8])).
% 5.44/1.37 fof(f1878,plain,(
% 5.44/1.37 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1),implies(X3,X1)),X5))|is_a_theorem(implies(X6,X5)))),
% 5.44/1.37 inference(resolution,[status(thm)],[f954,f5])).
% 5.44/1.37 fof(f4913,plain,(
% 5.44/1.37 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X2))))|~spl0_5)),
% 5.44/1.37 inference(resolution,[status(thm)],[f1878,f755])).
% 5.44/1.37 fof(f5146,plain,(
% 5.44/1.37 spl0_145 <=> is_a_theorem(implies(X1,implies(X2,X2)))),
% 5.44/1.37 introduced(split_symbol_definition)).
% 5.44/1.37 fof(f5147,plain,(
% 5.44/1.37 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))|~spl0_145)),
% 5.44/1.37 inference(component_clause,[status(thm)],[f5146])).
% 5.44/1.37 fof(f5149,plain,(
% 5.44/1.37 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X2)))|~spl0_5)),
% 5.44/1.37 inference(resolution,[status(thm)],[f4913,f5])).
% 5.44/1.37 fof(f5150,plain,(
% 5.44/1.37 spl0_2|spl0_145|~spl0_5),
% 5.44/1.37 inference(split_clause,[status(thm)],[f5149,f39,f5146,f81])).
% 5.44/1.37 fof(f5158,plain,(
% 5.44/1.37 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1)))|~spl0_145)),
% 5.44/1.37 inference(resolution,[status(thm)],[f5147,f8])).
% 5.44/1.37 fof(f5400,plain,(
% 5.44/1.37 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(X2,X1))|~spl0_145)),
% 5.44/1.37 inference(resolution,[status(thm)],[f5158,f5])).
% 5.44/1.37 fof(f6233,plain,(
% 5.44/1.37 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))|is_a_theorem(implies(implies(X3,X1),implies(X4,X1)))|~spl0_5)),
% 5.44/1.37 inference(resolution,[status(thm)],[f764,f8])).
% 5.44/1.37 fof(f9056,plain,(
% 5.44/1.37 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1)))|~spl0_5)),
% 5.44/1.37 inference(resolution,[status(thm)],[f6233,f64])).
% 5.44/1.37 fof(f9159,plain,(
% 5.44/1.37 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~spl0_5)),
% 5.44/1.37 inference(resolution,[status(thm)],[f9056,f8])).
% 5.44/1.37 fof(f9190,plain,(
% 5.44/1.37 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(X0,falsehood),X1),X2),implies(X0,X2)))|~spl0_5)),
% 5.44/1.37 inference(resolution,[status(thm)],[f9159,f8])).
% 5.44/1.37 fof(f12784,plain,(
% 5.82/1.39 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))|~spl0_5)),
% 5.82/1.39 inference(resolution,[status(thm)],[f9190,f8])).
% 5.82/1.39 fof(f12820,plain,(
% 5.82/1.39 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X1,falsehood),X2))))|~spl0_5|~spl0_145)),
% 5.82/1.39 inference(resolution,[status(thm)],[f9190,f5400])).
% 5.82/1.39 fof(f12823,plain,(
% 5.82/1.39 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(X0,falsehood),X1),X2))|is_a_theorem(implies(X0,X2))|~spl0_5)),
% 5.82/1.39 inference(resolution,[status(thm)],[f9190,f5])).
% 5.82/1.39 fof(f12932,plain,(
% 5.82/1.39 spl0_217 <=> is_a_theorem(implies(X1,implies(implies(X1,falsehood),X2)))),
% 5.82/1.39 introduced(split_symbol_definition)).
% 5.82/1.39 fof(f12933,plain,(
% 5.82/1.39 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,falsehood),X1)))|~spl0_217)),
% 5.82/1.39 inference(component_clause,[status(thm)],[f12932])).
% 5.82/1.39 fof(f12935,plain,(
% 5.82/1.39 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(X1,falsehood),X2)))|~spl0_5|~spl0_145)),
% 5.82/1.39 inference(resolution,[status(thm)],[f12820,f5])).
% 5.82/1.39 fof(f12936,plain,(
% 5.82/1.39 spl0_2|spl0_217|~spl0_5|~spl0_145),
% 5.82/1.39 inference(split_clause,[status(thm)],[f12935,f39,f12932,f81,f5146])).
% 5.82/1.39 fof(f17636,plain,(
% 5.82/1.39 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(falsehood,X1),implies(X0,falsehood)),X2)))|~spl0_5)),
% 5.82/1.39 inference(resolution,[status(thm)],[f12823,f339])).
% 5.82/1.39 fof(f17669,plain,(
% 5.82/1.39 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(implies(X0,falsehood),X1),falsehood),X2)))|~spl0_5|~spl0_217)),
% 5.82/1.39 inference(resolution,[status(thm)],[f12823,f12933])).
% 5.82/1.39 fof(f23576,plain,(
% 5.82/1.39 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(falsehood,X1),implies(X0,falsehood)),X2))|~spl0_5)),
% 5.82/1.39 inference(resolution,[status(thm)],[f17636,f5])).
% 5.82/1.39 fof(f23663,plain,(
% 5.82/1.39 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,falsehood)))|is_a_theorem(implies(X2,X0))|~spl0_5)),
% 5.82/1.39 inference(resolution,[status(thm)],[f23576,f342])).
% 5.82/1.39 fof(f23786,plain,(
% 5.82/1.39 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),falsehood),X2),falsehood),X0))|~spl0_5|~spl0_217)),
% 5.82/1.39 inference(resolution,[status(thm)],[f23663,f17669])).
% 5.82/1.39 fof(f24031,plain,(
% 5.82/1.39 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))))|~spl0_5|~spl0_217)),
% 5.82/1.39 inference(resolution,[status(thm)],[f23786,f8])).
% 5.82/1.39 fof(f24113,plain,(
% 5.82/1.39 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X2,implies(X0,X1)))|~spl0_5|~spl0_217)),
% 5.82/1.39 inference(resolution,[status(thm)],[f24031,f5])).
% 5.82/1.39 fof(f24185,plain,(
% 5.82/1.39 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1)))|~spl0_217|~spl0_5)),
% 5.82/1.39 inference(resolution,[status(thm)],[f24113,f12784])).
% 5.82/1.39 fof(f24421,plain,(
% 5.82/1.39 spl0_352 <=> is_a_theorem(implies(implies(implies(X1,X2),X1),X1))),
% 5.82/1.39 introduced(split_symbol_definition)).
% 5.82/1.39 fof(f24422,plain,(
% 5.82/1.39 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0))|~spl0_352)),
% 5.82/1.39 inference(component_clause,[status(thm)],[f24421])).
% 5.82/1.39 fof(f24424,plain,(
% 5.82/1.39 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),X1),X1))|~spl0_217|~spl0_5)),
% 5.82/1.39 inference(resolution,[status(thm)],[f24185,f5])).
% 5.82/1.39 fof(f24425,plain,(
% 5.82/1.39 spl0_2|spl0_352|~spl0_217|~spl0_5),
% 5.82/1.39 inference(split_clause,[status(thm)],[f24424,f39,f24421,f12932,f81])).
% 5.82/1.39 fof(f24428,plain,(
% 5.82/1.39 $false|~spl0_352),
% 5.82/1.39 inference(backward_subsumption_resolution,[status(thm)],[f7,f24422])).
% 5.82/1.39 fof(f24429,plain,(
% 5.82/1.39 ~spl0_352),
% 5.82/1.39 inference(contradiction_clause,[status(thm)],[f24428])).
% 5.82/1.39 fof(f24430,plain,(
% 5.82/1.39 $false),
% 5.82/1.39 inference(sat_refutation,[status(thm)],[f48,f85,f5150,f12936,f24425,f24429])).
% 5.82/1.39 % SZS output end CNFRefutation for theBenchmark.p
% 5.82/1.41 % Elapsed time: 1.060086 seconds
% 5.82/1.41 % CPU time: 5.970454 seconds
% 5.82/1.41 % Memory used: 103.583 MB
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