TSTP Solution File: LCL128-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL128-1 : TPTP v8.1.2. Released v1.0.0.
% 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 12:18:21 EDT 2023
% Result : Unsatisfiable 219.33s 27.90s
% Output : CNFRefutation 221.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : LCL128-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n012.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 09:41:55 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 219.33/27.90 % Refutation found
% 219.33/27.90 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 219.33/27.90 % SZS output start CNFRefutation for theBenchmark
% 219.33/27.90 fof(f1,axiom,(
% 219.33/27.90 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 219.33/27.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 219.33/27.90 fof(f2,axiom,(
% 219.33/27.90 (![X,Y,Z,U]: (is_a_theorem(equivalent(X,equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))))) ))),
% 219.33/27.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 219.33/27.90 fof(f3,negated_conjecture,(
% 219.33/27.90 ~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) ),
% 219.33/27.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 219.33/27.90 fof(f4,plain,(
% 219.33/27.90 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 219.33/27.90 inference(miniscoping,[status(esa)],[f1])).
% 219.33/27.90 fof(f5,plain,(
% 219.33/27.90 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 219.33/27.90 inference(cnf_transformation,[status(esa)],[f4])).
% 219.33/27.90 fof(f6,plain,(
% 219.33/27.90 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))))))),
% 219.33/27.90 inference(cnf_transformation,[status(esa)],[f2])).
% 219.33/27.90 fof(f7,plain,(
% 219.33/27.90 ~is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),
% 219.33/27.90 inference(cnf_transformation,[status(esa)],[f3])).
% 219.33/27.90 fof(f8,plain,(
% 219.33/27.90 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3)))))),
% 219.33/27.90 inference(resolution,[status(thm)],[f6,f5])).
% 219.33/27.90 fof(f9,plain,(
% 219.33/27.90 spl0_0 <=> ~is_a_theorem(X0)|~is_a_theorem(X0)),
% 219.33/27.90 introduced(split_symbol_definition)).
% 219.33/27.90 fof(f10,plain,(
% 219.33/27.90 ![X0]: (~is_a_theorem(X0)|~is_a_theorem(X0)|~spl0_0)),
% 219.33/27.90 inference(component_clause,[status(thm)],[f9])).
% 219.33/27.90 fof(f12,plain,(
% 219.33/27.90 spl0_1 <=> is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3)))),
% 219.33/27.90 introduced(split_symbol_definition)).
% 219.33/27.90 fof(f13,plain,(
% 219.33/27.90 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2)))|~spl0_1)),
% 219.33/27.90 inference(component_clause,[status(thm)],[f12])).
% 219.33/27.90 fof(f15,plain,(
% 219.33/27.90 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))))),
% 219.33/27.90 inference(resolution,[status(thm)],[f8,f5])).
% 219.33/27.90 fof(f16,plain,(
% 219.33/27.90 spl0_0|spl0_1),
% 219.33/27.90 inference(split_clause,[status(thm)],[f15,f9,f12])).
% 219.33/27.90 fof(f17,plain,(
% 219.33/27.90 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 219.33/27.90 inference(duplicate_literals_removal,[status(esa)],[f10])).
% 219.33/27.90 fof(f18,plain,(
% 219.33/27.90 $false|~spl0_0),
% 219.33/27.90 inference(backward_subsumption_resolution,[status(thm)],[f6,f17])).
% 219.33/27.90 fof(f19,plain,(
% 219.33/27.90 ~spl0_0),
% 219.33/27.90 inference(contradiction_clause,[status(thm)],[f18])).
% 219.33/27.90 fof(f23,plain,(
% 219.33/27.90 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))|is_a_theorem(equivalent(X0,X2))|~spl0_1)),
% 219.33/27.90 inference(resolution,[status(thm)],[f13,f5])).
% 219.33/27.90 fof(f24,plain,(
% 219.33/27.90 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))))|~is_a_theorem(equivalent(X0,equivalent(X1,X3)))|~spl0_1)),
% 219.33/27.90 inference(resolution,[status(thm)],[f23,f8])).
% 219.33/27.90 fof(f26,plain,(
% 219.33/27.90 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(equivalent(X0,X3),equivalent(X2,X3))))|~spl0_1)),
% 219.33/27.90 inference(resolution,[status(thm)],[f24,f13])).
% 219.33/27.90 fof(f29,plain,(
% 219.33/27.90 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1)))|~spl0_1)),
% 219.33/27.90 inference(resolution,[status(thm)],[f26,f23])).
% 219.33/27.90 fof(f31,plain,(
% 219.33/27.90 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))|is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3)))|~spl0_1)),
% 219.33/27.90 inference(resolution,[status(thm)],[f26,f5])).
% 219.33/27.90 fof(f32,plain,(
% 219.33/27.90 ![X0]: (is_a_theorem(equivalent(X0,X0))|~spl0_1)),
% 219.33/27.90 inference(resolution,[status(thm)],[f29,f23])).
% 219.33/27.90 fof(f33,plain,(
% 219.33/27.90 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2))))|~spl0_1)),
% 219.33/27.90 inference(resolution,[status(thm)],[f29,f24])).
% 221.17/28.08 fof(f37,plain,(
% 221.17/28.08 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2)))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f33,f5])).
% 221.17/28.08 fof(f49,plain,(
% 221.17/28.08 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),equivalent(equivalent(X0,X2),X3)))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f37,f13])).
% 221.17/28.08 fof(f58,plain,(
% 221.17/28.08 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))|~is_a_theorem(equivalent(X0,X3))|is_a_theorem(equivalent(X2,X3))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f31,f5])).
% 221.17/28.08 fof(f67,plain,(
% 221.17/28.08 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3))|is_a_theorem(equivalent(equivalent(X0,X2),X3))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f49,f5])).
% 221.17/28.08 fof(f84,plain,(
% 221.17/28.08 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))|is_a_theorem(equivalent(X2,X0))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f58,f32])).
% 221.17/28.08 fof(f91,plain,(
% 221.17/28.08 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X0))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f84,f6])).
% 221.17/28.08 fof(f104,plain,(
% 221.17/28.08 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X3),equivalent(X2,equivalent(X3,X1)))))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f67,f49])).
% 221.17/28.08 fof(f137,plain,(
% 221.17/28.08 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3))))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f91,f67])).
% 221.17/28.08 fof(f155,plain,(
% 221.17/28.08 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,X1),X2))|is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,equivalent(X3,X1))))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f104,f5])).
% 221.17/28.08 fof(f218,plain,(
% 221.17/28.08 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3))))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f137,f67])).
% 221.17/28.08 fof(f316,plain,(
% 221.17/28.08 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f218,f84])).
% 221.17/28.08 fof(f358,plain,(
% 221.17/28.08 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X1)),X2),equivalent(X0,X2)))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f316,f37])).
% 221.17/28.08 fof(f546,plain,(
% 221.17/28.08 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X2))|is_a_theorem(equivalent(X0,X2))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f358,f5])).
% 221.17/28.08 fof(f948,plain,(
% 221.17/28.08 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1))))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f546,f218])).
% 221.17/28.08 fof(f1336,plain,(
% 221.17/28.08 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f948,f84])).
% 221.17/28.08 fof(f1899,plain,(
% 221.17/28.08 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),equivalent(X0,equivalent(X3,equivalent(X2,X1)))))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f1336,f155])).
% 221.17/28.08 fof(f16564,plain,(
% 221.17/28.08 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3))|is_a_theorem(equivalent(X0,equivalent(X3,equivalent(X2,X1))))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f1899,f5])).
% 221.17/28.08 fof(f79856,plain,(
% 221.17/28.08 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))))|~spl0_1)),
% 221.17/28.08 inference(resolution,[status(thm)],[f16564,f91])).
% 221.17/28.08 fof(f160493,plain,(
% 221.17/28.08 $false|~spl0_1),
% 221.17/28.08 inference(backward_subsumption_resolution,[status(thm)],[f7,f79856])).
% 221.17/28.08 fof(f160494,plain,(
% 221.17/28.08 ~spl0_1),
% 221.17/28.08 inference(contradiction_clause,[status(thm)],[f160493])).
% 221.17/28.08 fof(f160495,plain,(
% 221.17/28.08 $false),
% 221.17/28.08 inference(sat_refutation,[status(thm)],[f16,f19,f160494])).
% 221.17/28.08 % SZS output end CNFRefutation for theBenchmark.p
% 221.25/28.17 % Elapsed time: 27.900012 seconds
% 221.25/28.17 % CPU time: 221.277949 seconds
% 221.25/28.17 % Memory used: 1.299 GB
%------------------------------------------------------------------------------