TSTP Solution File: LCL131-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL131-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:18:22 EDT 2023
% Result : Unsatisfiable 6.68s 1.29s
% Output : CNFRefutation 6.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL131-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 09:56:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 6.68/1.29 % Refutation found
% 6.68/1.29 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.68/1.29 % SZS output start CNFRefutation for theBenchmark
% 6.68/1.29 fof(f1,axiom,(
% 6.68/1.29 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 6.68/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.68/1.29 fof(f2,axiom,(
% 6.68/1.29 (![X,Y,Z,U]: (is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),X)) ))),
% 6.68/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.68/1.29 fof(f3,negated_conjecture,(
% 6.68/1.29 ~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) ),
% 6.68/1.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.68/1.29 fof(f4,plain,(
% 6.68/1.29 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 6.68/1.29 inference(miniscoping,[status(esa)],[f1])).
% 6.68/1.29 fof(f5,plain,(
% 6.68/1.29 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 6.68/1.29 inference(cnf_transformation,[status(esa)],[f4])).
% 6.68/1.29 fof(f6,plain,(
% 6.68/1.29 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X0)))),
% 6.68/1.29 inference(cnf_transformation,[status(esa)],[f2])).
% 6.68/1.29 fof(f7,plain,(
% 6.68/1.29 ~is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),
% 6.68/1.29 inference(cnf_transformation,[status(esa)],[f3])).
% 6.68/1.29 fof(f8,plain,(
% 6.68/1.29 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))))|is_a_theorem(X0))),
% 6.68/1.29 inference(resolution,[status(thm)],[f6,f5])).
% 6.68/1.29 fof(f9,plain,(
% 6.68/1.29 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2)),equivalent(equivalent(equivalent(X3,X4),equivalent(X5,X4)),equivalent(X3,X5)))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f8,f6])).
% 6.68/1.29 fof(f10,plain,(
% 6.68/1.29 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f9,f8])).
% 6.68/1.29 fof(f19,plain,(
% 6.68/1.29 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),equivalent(equivalent(X0,X2),X3))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f10,f8])).
% 6.68/1.29 fof(f20,plain,(
% 6.68/1.29 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))|is_a_theorem(equivalent(X0,X2)))),
% 6.68/1.29 inference(resolution,[status(thm)],[f10,f5])).
% 6.68/1.29 fof(f21,plain,(
% 6.68/1.29 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(equivalent(X0,X3),equivalent(X2,X3)))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f20,f9])).
% 6.68/1.29 fof(f24,plain,(
% 6.68/1.29 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2)),equivalent(X0,X3))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f19,f8])).
% 6.68/1.29 fof(f25,plain,(
% 6.68/1.29 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3))|is_a_theorem(equivalent(equivalent(X0,X2),X3)))),
% 6.68/1.29 inference(resolution,[status(thm)],[f19,f5])).
% 6.68/1.29 fof(f26,plain,(
% 6.68/1.29 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f21,f20])).
% 6.68/1.29 fof(f27,plain,(
% 6.68/1.29 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))|is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f21,f5])).
% 6.68/1.29 fof(f28,plain,(
% 6.68/1.29 ![X0]: (is_a_theorem(equivalent(X0,X0)))),
% 6.68/1.29 inference(resolution,[status(thm)],[f26,f20])).
% 6.68/1.29 fof(f33,plain,(
% 6.68/1.29 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2)))|is_a_theorem(equivalent(X0,X3)))),
% 6.68/1.29 inference(resolution,[status(thm)],[f24,f5])).
% 6.68/1.29 fof(f34,plain,(
% 6.68/1.29 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X3),equivalent(X2,equivalent(X3,X1))))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f25,f19])).
% 6.68/1.29 fof(f38,plain,(
% 6.68/1.29 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3)))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f25,f6])).
% 6.68/1.29 fof(f53,plain,(
% 6.68/1.29 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X4),equivalent(X0,X4))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f27,f6])).
% 6.68/1.29 fof(f68,plain,(
% 6.68/1.29 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),X2))|is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,equivalent(X3,X1)))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f34,f5])).
% 6.68/1.29 fof(f69,plain,(
% 6.68/1.29 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f38,f25])).
% 6.68/1.29 fof(f104,plain,(
% 6.68/1.29 ![X0,X1]: (is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1)))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f69,f33])).
% 6.68/1.29 fof(f105,plain,(
% 6.68/1.29 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,equivalent(X2,X2)),X1))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f69,f27])).
% 6.68/1.29 fof(f118,plain,(
% 6.68/1.29 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X0,equivalent(X1,X1))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f104,f5])).
% 6.68/1.29 fof(f135,plain,(
% 6.68/1.29 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f118,f28])).
% 6.68/1.29 fof(f140,plain,(
% 6.68/1.29 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),equivalent(X1,X0)))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f135,f68])).
% 6.68/1.29 fof(f142,plain,(
% 6.68/1.29 spl0_2 <=> ~is_a_theorem(equivalent(X0,X0))),
% 6.68/1.29 introduced(split_symbol_definition)).
% 6.68/1.29 fof(f143,plain,(
% 6.68/1.29 ![X0]: (~is_a_theorem(equivalent(X0,X0))|~spl0_2)),
% 6.68/1.29 inference(component_clause,[status(thm)],[f142])).
% 6.68/1.29 fof(f151,plain,(
% 6.68/1.29 $false|~spl0_2),
% 6.68/1.29 inference(forward_subsumption_resolution,[status(thm)],[f143,f28])).
% 6.68/1.29 fof(f152,plain,(
% 6.68/1.29 ~spl0_2),
% 6.68/1.29 inference(contradiction_clause,[status(thm)],[f151])).
% 6.68/1.29 fof(f160,plain,(
% 6.68/1.29 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X0,equivalent(X2,X2)),X1)))),
% 6.68/1.29 inference(resolution,[status(thm)],[f105,f5])).
% 6.68/1.29 fof(f203,plain,(
% 6.68/1.29 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X2,X2),equivalent(X1,X0))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f140,f5])).
% 6.68/1.29 fof(f277,plain,(
% 6.68/1.29 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)))),
% 6.68/1.29 inference(resolution,[status(thm)],[f160,f28])).
% 6.68/1.29 fof(f281,plain,(
% 6.68/1.29 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X1)),X2),equivalent(X0,X2))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f277,f27])).
% 6.68/1.29 fof(f389,plain,(
% 6.68/1.29 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X2))|is_a_theorem(equivalent(X0,X2)))),
% 6.68/1.29 inference(resolution,[status(thm)],[f281,f5])).
% 6.68/1.29 fof(f577,plain,(
% 6.68/1.29 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f389,f69])).
% 6.68/1.29 fof(f735,plain,(
% 6.68/1.29 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,X0),equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X1))))),
% 6.68/1.29 inference(resolution,[status(thm)],[f577,f203])).
% 6.68/1.29 fof(f6735,plain,(
% 6.68/1.29 spl0_44 <=> is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X1))),
% 6.68/1.29 introduced(split_symbol_definition)).
% 6.68/1.29 fof(f6736,plain,(
% 6.68/1.29 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0))|~spl0_44)),
% 6.68/1.29 inference(component_clause,[status(thm)],[f6735])).
% 6.68/1.29 fof(f6738,plain,(
% 6.68/1.29 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,X0))|is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X1)))),
% 6.68/1.29 inference(resolution,[status(thm)],[f735,f5])).
% 6.68/1.29 fof(f6739,plain,(
% 6.68/1.29 spl0_2|spl0_44),
% 6.68/1.29 inference(split_clause,[status(thm)],[f6738,f142,f6735])).
% 6.68/1.29 fof(f7319,plain,(
% 6.68/1.29 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X3),equivalent(X0,X3)))|~spl0_44)),
% 6.68/1.29 inference(resolution,[status(thm)],[f6736,f27])).
% 6.68/1.31 fof(f7493,plain,(
% 6.68/1.31 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X3))|is_a_theorem(equivalent(X0,X3))|~spl0_44)),
% 6.68/1.31 inference(resolution,[status(thm)],[f7319,f5])).
% 6.68/1.31 fof(f8075,plain,(
% 6.68/1.31 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))))|~spl0_44)),
% 6.68/1.31 inference(resolution,[status(thm)],[f7493,f53])).
% 6.68/1.31 fof(f11596,plain,(
% 6.68/1.31 $false|~spl0_44),
% 6.68/1.31 inference(backward_subsumption_resolution,[status(thm)],[f7,f8075])).
% 6.68/1.31 fof(f11597,plain,(
% 6.68/1.31 ~spl0_44),
% 6.68/1.31 inference(contradiction_clause,[status(thm)],[f11596])).
% 6.68/1.31 fof(f11598,plain,(
% 6.68/1.31 $false),
% 6.68/1.31 inference(sat_refutation,[status(thm)],[f152,f6739,f11597])).
% 6.68/1.31 % SZS output end CNFRefutation for theBenchmark.p
% 6.68/1.33 % Elapsed time: 0.967863 seconds
% 6.68/1.33 % CPU time: 6.965182 seconds
% 6.68/1.33 % Memory used: 90.859 MB
%------------------------------------------------------------------------------