TSTP Solution File: LCL035-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL035-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 0.15s 0.34s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : LCL035-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n021.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 09:38:07 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.15/0.31  % Drodi V3.5.1
% 0.15/0.34  % Refutation found
% 0.15/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.34  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.34  fof(f1,axiom,(
% 0.15/0.34    (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 0.15/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34  fof(f2,axiom,(
% 0.15/0.34    (![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)))) ))),
% 0.15/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34  fof(f3,negated_conjecture,(
% 0.15/0.34    ~ is_a_theorem(implies(falsehood,a)) ),
% 0.15/0.34    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34  fof(f4,plain,(
% 0.15/0.34    ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 0.15/0.34    inference(miniscoping,[status(esa)],[f1])).
% 0.15/0.34  fof(f5,plain,(
% 0.15/0.34    ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 0.15/0.34    inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.34  fof(f6,plain,(
% 0.15/0.34    ![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)))))),
% 0.15/0.34    inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.34  fof(f7,plain,(
% 0.15/0.34    ~is_a_theorem(implies(falsehood,a))),
% 0.15/0.34    inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.34  fof(f8,plain,(
% 0.15/0.34    ![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))))),
% 0.15/0.34    inference(resolution,[status(thm)],[f6,f5])).
% 0.15/0.34  fof(f20,plain,(
% 0.15/0.34    spl0_0 <=> ~is_a_theorem(X0)),
% 0.15/0.34    introduced(split_symbol_definition)).
% 0.15/0.34  fof(f21,plain,(
% 0.15/0.34    ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 0.15/0.34    inference(component_clause,[status(thm)],[f20])).
% 0.15/0.34  fof(f28,plain,(
% 0.15/0.34    $false|~spl0_0),
% 0.15/0.34    inference(backward_subsumption_resolution,[status(thm)],[f6,f21])).
% 0.15/0.34  fof(f29,plain,(
% 0.15/0.34    ~spl0_0),
% 0.15/0.34    inference(contradiction_clause,[status(thm)],[f28])).
% 0.15/0.34  fof(f39,plain,(
% 0.15/0.34    ![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)))))),
% 0.15/0.34    inference(resolution,[status(thm)],[f6,f8])).
% 0.15/0.34  fof(f43,plain,(
% 0.15/0.34    ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))))),
% 0.15/0.34    inference(resolution,[status(thm)],[f39,f8])).
% 0.15/0.34  fof(f50,plain,(
% 0.15/0.34    ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(falsehood,X1)),X2))|is_a_theorem(implies(X3,X2)))),
% 0.15/0.34    inference(resolution,[status(thm)],[f43,f5])).
% 0.15/0.34  fof(f55,plain,(
% 0.15/0.34    spl0_2 <=> ~is_a_theorem(implies(implies(X0,implies(falsehood,X1)),X2))|is_a_theorem(X2)),
% 0.15/0.34    introduced(split_symbol_definition)).
% 0.15/0.34  fof(f56,plain,(
% 0.15/0.34    ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(falsehood,X1)),X2))|is_a_theorem(X2)|~spl0_2)),
% 0.15/0.34    inference(component_clause,[status(thm)],[f55])).
% 0.15/0.34  fof(f58,plain,(
% 0.15/0.34    ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(falsehood,X1)),X2))|~is_a_theorem(X3)|is_a_theorem(X2))),
% 0.15/0.34    inference(resolution,[status(thm)],[f50,f5])).
% 0.15/0.34  fof(f59,plain,(
% 0.15/0.34    spl0_2|spl0_0),
% 0.15/0.34    inference(split_clause,[status(thm)],[f58,f55,f20])).
% 0.15/0.34  fof(f62,plain,(
% 0.15/0.34    ![X0,X1]: (is_a_theorem(implies(X0,implies(falsehood,X1)))|~spl0_2)),
% 0.15/0.34    inference(resolution,[status(thm)],[f56,f39])).
% 0.15/0.34  fof(f67,plain,(
% 0.15/0.34    ![X0]: (is_a_theorem(implies(falsehood,X0))|~spl0_2)),
% 0.15/0.34    inference(resolution,[status(thm)],[f62,f56])).
% 0.15/0.34  fof(f75,plain,(
% 0.15/0.34    $false|~spl0_2),
% 0.15/0.34    inference(backward_subsumption_resolution,[status(thm)],[f7,f67])).
% 0.15/0.34  fof(f76,plain,(
% 0.15/0.34    ~spl0_2),
% 0.15/0.34    inference(contradiction_clause,[status(thm)],[f75])).
% 0.15/0.34  fof(f77,plain,(
% 0.15/0.34    $false),
% 0.15/0.34    inference(sat_refutation,[status(thm)],[f29,f59,f76])).
% 0.15/0.34  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.56  % Elapsed time: 0.030495 seconds
% 0.15/0.56  % CPU time: 0.018375 seconds
% 0.15/0.56  % Memory used: 1.968 MB
%------------------------------------------------------------------------------