TSTP Solution File: LCL396-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL396-1 : TPTP v8.1.2. Released v2.3.0.
% 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 12:19:10 EDT 2023

% Result   : Unsatisfiable 7.62s 1.33s
% Output   : CNFRefutation 7.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : LCL396-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n029.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Tue May 30 09:55:06 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.10/0.31  % Drodi V3.5.1
% 7.62/1.33  % Refutation found
% 7.62/1.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.62/1.33  % SZS output start CNFRefutation for theBenchmark
% 7.62/1.33  fof(f1,axiom,(
% 7.62/1.33    (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 7.62/1.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.62/1.33  fof(f2,axiom,(
% 7.62/1.33    (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 7.62/1.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.62/1.33  fof(f3,axiom,(
% 7.62/1.33    (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 7.62/1.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.62/1.33  fof(f4,axiom,(
% 7.62/1.33    (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 7.62/1.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.62/1.33  fof(f5,negated_conjecture,(
% 7.62/1.33    ~ is_a_theorem(implies(implies(not(not(x)),y),implies(x,y))) ),
% 7.62/1.33    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.62/1.33  fof(f6,plain,(
% 7.62/1.33    ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 7.62/1.33    inference(miniscoping,[status(esa)],[f1])).
% 7.62/1.33  fof(f7,plain,(
% 7.62/1.33    ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 7.62/1.33    inference(cnf_transformation,[status(esa)],[f6])).
% 7.62/1.33  fof(f8,plain,(
% 7.62/1.33    ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 7.62/1.33    inference(cnf_transformation,[status(esa)],[f2])).
% 7.62/1.33  fof(f9,plain,(
% 7.62/1.33    ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 7.62/1.33    inference(cnf_transformation,[status(esa)],[f3])).
% 7.62/1.33  fof(f10,plain,(
% 7.62/1.33    ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 7.62/1.33    inference(cnf_transformation,[status(esa)],[f4])).
% 7.62/1.33  fof(f11,plain,(
% 7.62/1.33    ~is_a_theorem(implies(implies(not(not(x)),y),implies(x,y)))),
% 7.62/1.33    inference(cnf_transformation,[status(esa)],[f5])).
% 7.62/1.33  fof(f12,plain,(
% 7.62/1.33    ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X0))),
% 7.62/1.33    inference(resolution,[status(thm)],[f7,f9])).
% 7.62/1.33  fof(f13,plain,(
% 7.62/1.33    ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 7.62/1.33    inference(resolution,[status(thm)],[f7,f10])).
% 7.62/1.33  fof(f14,plain,(
% 7.62/1.33    ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 7.62/1.33    inference(resolution,[status(thm)],[f8,f7])).
% 7.62/1.33  fof(f37,plain,(
% 7.62/1.33    ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 7.62/1.33    inference(resolution,[status(thm)],[f14,f9])).
% 7.62/1.33  fof(f38,plain,(
% 7.62/1.33    ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 7.62/1.33    inference(resolution,[status(thm)],[f14,f8])).
% 7.62/1.33  fof(f39,plain,(
% 7.62/1.33    ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 7.62/1.33    inference(resolution,[status(thm)],[f14,f10])).
% 7.62/1.33  fof(f40,plain,(
% 7.62/1.33    ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 7.62/1.33    inference(resolution,[status(thm)],[f37,f14])).
% 7.62/1.33  fof(f43,plain,(
% 7.62/1.33    ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(not(X0),X3),X1),X2))))),
% 7.62/1.33    inference(resolution,[status(thm)],[f39,f14])).
% 7.62/1.33  fof(f44,plain,(
% 7.62/1.33    ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 7.62/1.33    inference(resolution,[status(thm)],[f39,f7])).
% 7.62/1.33  fof(f67,plain,(
% 7.62/1.33    ![X0]: (is_a_theorem(implies(X0,X0)))),
% 7.62/1.33    inference(resolution,[status(thm)],[f44,f9])).
% 7.62/1.33  fof(f82,plain,(
% 7.62/1.33    ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 7.62/1.33    inference(resolution,[status(thm)],[f38,f7])).
% 7.62/1.33  fof(f87,plain,(
% 7.62/1.33    ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1)))),
% 7.62/1.33    inference(resolution,[status(thm)],[f67,f13])).
% 7.62/1.33  fof(f90,plain,(
% 7.62/1.33    ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))))),
% 7.62/1.33    inference(resolution,[status(thm)],[f87,f14])).
% 7.62/1.33  fof(f132,plain,(
% 7.62/1.33    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 7.62/1.33    inference(resolution,[status(thm)],[f90,f44])).
% 7.62/1.33  fof(f141,plain,(
% 7.62/1.33    ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))))),
% 7.62/1.33    inference(resolution,[status(thm)],[f132,f14])).
% 7.62/1.33  fof(f142,plain,(
% 7.62/1.34    spl0_7 <=> ~is_a_theorem(X0)),
% 7.62/1.34    introduced(split_symbol_definition)).
% 7.62/1.34  fof(f143,plain,(
% 7.62/1.34    ![X0]: (~is_a_theorem(X0)|~spl0_7)),
% 7.62/1.34    inference(component_clause,[status(thm)],[f142])).
% 7.62/1.34  fof(f145,plain,(
% 7.62/1.34    spl0_8 <=> is_a_theorem(implies(not(implies(X1,X1)),X2))),
% 7.62/1.34    introduced(split_symbol_definition)).
% 7.62/1.34  fof(f146,plain,(
% 7.62/1.34    ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1))|~spl0_8)),
% 7.62/1.34    inference(component_clause,[status(thm)],[f145])).
% 7.62/1.34  fof(f148,plain,(
% 7.62/1.34    ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(not(implies(X1,X1)),X2)))),
% 7.62/1.34    inference(resolution,[status(thm)],[f132,f7])).
% 7.62/1.34  fof(f149,plain,(
% 7.62/1.34    spl0_7|spl0_8),
% 7.62/1.34    inference(split_clause,[status(thm)],[f148,f142,f145])).
% 7.62/1.34  fof(f273,plain,(
% 7.62/1.34    $false|~spl0_7),
% 7.62/1.34    inference(forward_subsumption_resolution,[status(thm)],[f67,f143])).
% 7.62/1.34  fof(f274,plain,(
% 7.62/1.34    ~spl0_7),
% 7.62/1.34    inference(contradiction_clause,[status(thm)],[f273])).
% 7.62/1.34  fof(f275,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(not(implies(not(implies(X0,X0)),X1)),X2))|~spl0_8)),
% 7.62/1.34    inference(resolution,[status(thm)],[f13,f146])).
% 7.62/1.34  fof(f357,plain,(
% 7.62/1.34    ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(not(implies(not(implies(X2,X2)),X3)),X1)))|~spl0_8)),
% 7.62/1.34    inference(resolution,[status(thm)],[f14,f275])).
% 7.62/1.34  fof(f502,plain,(
% 7.62/1.34    ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(not(implies(not(implies(X1,X1)),X2)),X3)))|~spl0_8)),
% 7.62/1.34    inference(resolution,[status(thm)],[f357,f44])).
% 7.62/1.34  fof(f516,plain,(
% 7.62/1.34    ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(not(implies(not(implies(X0,X0)),X1)),X2),X3),implies(X4,X3)))|~spl0_8)),
% 7.62/1.34    inference(resolution,[status(thm)],[f502,f14])).
% 7.62/1.34  fof(f855,plain,(
% 7.62/1.34    ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(not(X0),X0),X1),X2))|is_a_theorem(implies(implies(X0,X1),X2)))),
% 7.62/1.34    inference(resolution,[status(thm)],[f40,f7])).
% 7.62/1.34  fof(f1300,plain,(
% 7.62/1.34    ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(X0,not(implies(not(implies(X1,X1)),X2))),implies(X3,implies(X0,X4))))|~spl0_8)),
% 7.62/1.34    inference(resolution,[status(thm)],[f82,f516])).
% 7.62/1.34  fof(f1304,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f82,f39])).
% 7.62/1.34  fof(f1349,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2))))|~spl0_8)),
% 7.62/1.34    inference(resolution,[status(thm)],[f1300,f44])).
% 7.62/1.34  fof(f1367,plain,(
% 7.62/1.34    ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3)))|~spl0_8)),
% 7.62/1.34    inference(resolution,[status(thm)],[f1349,f14])).
% 7.62/1.34  fof(f1588,plain,(
% 7.62/1.34    ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))|is_a_theorem(implies(X1,X3))|~spl0_8)),
% 7.62/1.34    inference(resolution,[status(thm)],[f1367,f7])).
% 7.62/1.34  fof(f1981,plain,(
% 7.62/1.34    ![X0,X1,X2]: (~is_a_theorem(implies(X0,not(X1)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f1304,f7])).
% 7.62/1.34  fof(f2393,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f855,f141])).
% 7.62/1.34  fof(f2434,plain,(
% 7.62/1.34    ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(X2,X1)))),
% 7.62/1.34    inference(resolution,[status(thm)],[f2393,f7])).
% 7.62/1.34  fof(f2472,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f2434,f2393])).
% 7.62/1.34  fof(f2482,plain,(
% 7.62/1.34    ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f2434,f37])).
% 7.62/1.34  fof(f2553,plain,(
% 7.62/1.34    ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f2472,f14])).
% 7.62/1.34  fof(f3345,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f14,f2482])).
% 7.62/1.34  fof(f3849,plain,(
% 7.62/1.34    ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))|is_a_theorem(implies(X3,X2)))),
% 7.62/1.34    inference(resolution,[status(thm)],[f2553,f7])).
% 7.62/1.34  fof(f4686,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f3345,f82])).
% 7.62/1.34  fof(f4693,plain,(
% 7.62/1.34    ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))|is_a_theorem(implies(X2,X1)))),
% 7.62/1.34    inference(resolution,[status(thm)],[f3345,f7])).
% 7.62/1.34  fof(f5149,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X1,X0),X0)))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f4686,f82])).
% 7.62/1.34  fof(f5154,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X0))))|~spl0_8)),
% 7.62/1.34    inference(resolution,[status(thm)],[f4686,f1588])).
% 7.62/1.34  fof(f5160,plain,(
% 7.62/1.34    ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X2,implies(X0,X1))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f4686,f7])).
% 7.62/1.34  fof(f5173,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(not(not(X1)),X2),X1),X1))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f4693,f43])).
% 7.62/1.34  fof(f5245,plain,(
% 7.62/1.34    ![X0,X1]: (is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0)))),
% 7.62/1.34    inference(resolution,[status(thm)],[f5173,f12])).
% 7.62/1.34  fof(f5266,plain,(
% 7.62/1.34    ![X0,X1]: (is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f5245,f82])).
% 7.62/1.34  fof(f5274,plain,(
% 7.62/1.34    ![X0,X1]: (~is_a_theorem(implies(implies(not(not(X0)),X1),X0))|is_a_theorem(X0))),
% 7.62/1.34    inference(resolution,[status(thm)],[f5245,f7])).
% 7.62/1.34  fof(f5511,plain,(
% 7.62/1.34    ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X2),X3),X3)))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f5149,f3849])).
% 7.62/1.34  fof(f5680,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f5511,f5274])).
% 7.62/1.34  fof(f6872,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(implies(not(X1),X1),X1),X2),X2))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f5160,f3345])).
% 7.62/1.34  fof(f6972,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~spl0_8)),
% 7.62/1.34    inference(resolution,[status(thm)],[f5160,f5154])).
% 7.62/1.34  fof(f7786,plain,(
% 7.62/1.34    ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_8)),
% 7.62/1.34    inference(resolution,[status(thm)],[f6972,f5274])).
% 7.62/1.34  fof(f7858,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~spl0_8)),
% 7.62/1.34    inference(resolution,[status(thm)],[f7786,f14])).
% 7.62/1.34  fof(f8245,plain,(
% 7.62/1.34    ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2))|~spl0_8)),
% 7.62/1.34    inference(resolution,[status(thm)],[f7858,f7])).
% 7.62/1.34  fof(f8303,plain,(
% 7.62/1.34    ![X0,X1]: (is_a_theorem(implies(not(not(implies(X0,X1))),implies(X0,X1)))|~spl0_8)),
% 7.62/1.34    inference(resolution,[status(thm)],[f8245,f5266])).
% 7.62/1.34  fof(f8419,plain,(
% 7.62/1.34    ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 7.62/1.34    inference(resolution,[status(thm)],[f6872,f5274])).
% 7.62/1.34  fof(f8468,plain,(
% 7.62/1.34    ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f8419,f82])).
% 7.62/1.34  fof(f8526,plain,(
% 7.62/1.34    ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f8468,f82])).
% 7.62/1.34  fof(f8545,plain,(
% 7.62/1.34    ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 7.62/1.34    inference(resolution,[status(thm)],[f8468,f7])).
% 7.62/1.34  fof(f8648,plain,(
% 7.62/1.34    ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X1,X0),X0)))),
% 7.62/1.34    inference(resolution,[status(thm)],[f8526,f7])).
% 7.62/1.34  fof(f8921,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X0),X1),X1),X2),X2)))),
% 7.62/1.34    inference(resolution,[status(thm)],[f8648,f5680])).
% 7.62/1.34  fof(f9558,plain,(
% 7.62/1.34    ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X0,X2))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f8921,f82])).
% 7.62/1.34  fof(f9649,plain,(
% 7.62/1.34    ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|is_a_theorem(implies(X0,X2)))),
% 7.62/1.34    inference(resolution,[status(thm)],[f9558,f7])).
% 7.62/1.34  fof(f11232,plain,(
% 7.62/1.34    ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X1),not(X0))))),
% 7.62/1.34    inference(resolution,[status(thm)],[f8545,f1981])).
% 7.62/1.34  fof(f14732,plain,(
% 7.62/1.34    ![X0,X1]: (is_a_theorem(implies(not(not(implies(implies(X0,X0),X1))),X1))|~spl0_8)),
% 7.62/1.37    inference(resolution,[status(thm)],[f8303,f9649])).
% 7.62/1.37  fof(f17188,plain,(
% 7.62/1.37    ![X0,X1]: (is_a_theorem(implies(X0,not(implies(implies(X1,X1),not(X0)))))|~spl0_8)),
% 7.62/1.37    inference(resolution,[status(thm)],[f14732,f11232])).
% 7.62/1.37  fof(f17567,plain,(
% 7.62/1.37    ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),not(not(X1))),X1))|~spl0_8)),
% 7.62/1.37    inference(resolution,[status(thm)],[f17188,f11232])).
% 7.62/1.37  fof(f17597,plain,(
% 7.62/1.37    ![X0]: (is_a_theorem(implies(not(not(X0)),X0))|~spl0_8)),
% 7.62/1.37    inference(resolution,[status(thm)],[f17567,f8245])).
% 7.62/1.37  fof(f17629,plain,(
% 7.62/1.37    ![X0]: (is_a_theorem(implies(X0,not(not(X0))))|~spl0_8)),
% 7.62/1.37    inference(resolution,[status(thm)],[f17597,f11232])).
% 7.62/1.37  fof(f17706,plain,(
% 7.62/1.37    ![X0,X1]: (is_a_theorem(implies(implies(not(not(X0)),X1),implies(X0,X1)))|~spl0_8)),
% 7.62/1.37    inference(resolution,[status(thm)],[f17629,f14])).
% 7.62/1.37  fof(f25306,plain,(
% 7.62/1.37    $false|~spl0_8),
% 7.62/1.37    inference(backward_subsumption_resolution,[status(thm)],[f11,f17706])).
% 7.62/1.37  fof(f25307,plain,(
% 7.62/1.37    ~spl0_8),
% 7.62/1.37    inference(contradiction_clause,[status(thm)],[f25306])).
% 7.62/1.37  fof(f25308,plain,(
% 7.62/1.37    $false),
% 7.62/1.37    inference(sat_refutation,[status(thm)],[f149,f274,f25307])).
% 7.62/1.37  % SZS output end CNFRefutation for theBenchmark.p
% 7.62/1.39  % Elapsed time: 1.067603 seconds
% 7.62/1.39  % CPU time: 7.986075 seconds
% 7.62/1.39  % Memory used: 134.562 MB
%------------------------------------------------------------------------------