TSTP Solution File: LCL369-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL369-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 12:19:05 EDT 2023

% Result   : Unsatisfiable 23.63s 3.50s
% Output   : CNFRefutation 23.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL369-1 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 09:47:28 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 23.63/3.50  % Refutation found
% 23.63/3.50  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 23.63/3.50  % SZS output start CNFRefutation for theBenchmark
% 23.63/3.50  fof(f1,axiom,(
% 23.63/3.50    (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 23.63/3.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.63/3.50  fof(f2,axiom,(
% 23.63/3.50    (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 23.63/3.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.63/3.50  fof(f3,axiom,(
% 23.63/3.50    (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 23.63/3.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.63/3.50  fof(f4,axiom,(
% 23.63/3.50    (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 23.63/3.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.63/3.50  fof(f5,negated_conjecture,(
% 23.63/3.50    ~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,y),z)))) ),
% 23.63/3.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.63/3.50  fof(f6,plain,(
% 23.63/3.50    ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 23.63/3.50    inference(miniscoping,[status(esa)],[f1])).
% 23.63/3.50  fof(f7,plain,(
% 23.63/3.50    ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 23.63/3.50    inference(cnf_transformation,[status(esa)],[f6])).
% 23.63/3.50  fof(f8,plain,(
% 23.63/3.50    ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 23.63/3.50    inference(cnf_transformation,[status(esa)],[f2])).
% 23.63/3.50  fof(f9,plain,(
% 23.63/3.50    ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 23.63/3.50    inference(cnf_transformation,[status(esa)],[f3])).
% 23.63/3.50  fof(f10,plain,(
% 23.63/3.50    ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 23.63/3.50    inference(cnf_transformation,[status(esa)],[f4])).
% 23.63/3.50  fof(f11,plain,(
% 23.63/3.50    ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,y),z))))),
% 23.63/3.50    inference(cnf_transformation,[status(esa)],[f5])).
% 23.63/3.50  fof(f12,plain,(
% 23.63/3.50    ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f8,f7])).
% 23.63/3.50  fof(f13,plain,(
% 23.63/3.50    ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f12,f8])).
% 23.63/3.50  fof(f15,plain,(
% 23.63/3.50    ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f13,f7])).
% 23.63/3.50  fof(f18,plain,(
% 23.63/3.50    ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f15,f13])).
% 23.63/3.50  fof(f20,plain,(
% 23.63/3.50    ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f15,f8])).
% 23.63/3.50  fof(f23,plain,(
% 23.63/3.50    ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f18,f7])).
% 23.63/3.50  fof(f32,plain,(
% 23.63/3.50    ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X3,X1))|is_a_theorem(implies(X0,implies(X3,X2))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f23,f7])).
% 23.63/3.50  fof(f39,plain,(
% 23.63/3.50    ![X0]: (~is_a_theorem(implies(implies(implies(x,y),z),implies(X0,implies(implies(u,y),z))))|~is_a_theorem(implies(implies(x,u),X0)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f32,f11])).
% 23.63/3.50  fof(f53,plain,(
% 23.63/3.50    ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f9,f12])).
% 23.63/3.50  fof(f56,plain,(
% 23.63/3.50    ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f10,f12])).
% 23.63/3.50  fof(f57,plain,(
% 23.63/3.50    ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f10,f7])).
% 23.63/3.50  fof(f59,plain,(
% 23.63/3.50    ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f57,f12])).
% 23.63/3.50  fof(f69,plain,(
% 23.63/3.50    ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f53,f12])).
% 23.63/3.50  fof(f70,plain,(
% 23.63/3.50    ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f53,f7])).
% 23.63/3.50  fof(f71,plain,(
% 23.63/3.50    ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f56,f15])).
% 23.63/3.50  fof(f73,plain,(
% 23.63/3.50    ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f56,f7])).
% 23.63/3.50  fof(f78,plain,(
% 23.63/3.50    ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X1))),
% 23.63/3.50    inference(resolution,[status(thm)],[f70,f7])).
% 23.63/3.50  fof(f80,plain,(
% 23.63/3.50    ![X0,X1,X2]: (~is_a_theorem(implies(X0,not(X1)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f71,f7])).
% 23.63/3.50  fof(f81,plain,(
% 23.63/3.50    ![X0]: (is_a_theorem(implies(X0,X0)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f73,f9])).
% 23.63/3.50  fof(f82,plain,(
% 23.63/3.50    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f73,f71])).
% 23.63/3.50  fof(f84,plain,(
% 23.63/3.50    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),X2)))|~is_a_theorem(X1))),
% 23.63/3.50    inference(resolution,[status(thm)],[f73,f59])).
% 23.63/3.50  fof(f92,plain,(
% 23.63/3.50    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f73,f10])).
% 23.63/3.50  fof(f99,plain,(
% 23.63/3.50    ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f82,f12])).
% 23.63/3.50  fof(f104,plain,(
% 23.63/3.50    ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X3,X2))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f84,f12])).
% 23.63/3.50  fof(f108,plain,(
% 23.63/3.50    spl0_3 <=> ~is_a_theorem(X1)),
% 23.63/3.50    introduced(split_symbol_definition)).
% 23.63/3.50  fof(f109,plain,(
% 23.63/3.50    ![X0]: (~is_a_theorem(X0)|~spl0_3)),
% 23.63/3.50    inference(component_clause,[status(thm)],[f108])).
% 23.63/3.50  fof(f116,plain,(
% 23.63/3.50    ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(not(implies(not(X0),X1)),X2)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f92,f7])).
% 23.63/3.50  fof(f117,plain,(
% 23.63/3.50    ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f69,f15])).
% 23.63/3.50  fof(f281,plain,(
% 23.63/3.50    ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(not(implies(not(X1),X2)),X3)))|~is_a_theorem(X1))),
% 23.63/3.50    inference(resolution,[status(thm)],[f80,f116])).
% 23.63/3.50  fof(f359,plain,(
% 23.63/3.50    ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))|is_a_theorem(implies(X1,X3)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f99,f7])).
% 23.63/3.50  fof(f363,plain,(
% 23.63/3.50    ![X0,X1,X2,X3]: (~is_a_theorem(X0)|~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X3,X2)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f104,f7])).
% 23.63/3.50  fof(f450,plain,(
% 23.63/3.50    ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f363,f9])).
% 23.63/3.50  fof(f468,plain,(
% 23.63/3.50    spl0_27 <=> is_a_theorem(implies(X1,implies(not(implies(not(X2),X3)),X4)))|~is_a_theorem(X2)),
% 23.63/3.50    introduced(split_symbol_definition)).
% 23.63/3.50  fof(f469,plain,(
% 23.63/3.50    ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(not(implies(not(X1),X2)),X3)))|~is_a_theorem(X1)|~spl0_27)),
% 23.63/3.50    inference(component_clause,[status(thm)],[f468])).
% 23.63/3.50  fof(f471,plain,(
% 23.63/3.50    ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(not(implies(not(X2),X3)),X4)))|~is_a_theorem(X2))),
% 23.63/3.50    inference(resolution,[status(thm)],[f363,f281])).
% 23.63/3.50  fof(f472,plain,(
% 23.63/3.50    spl0_3|spl0_27),
% 23.63/3.50    inference(split_clause,[status(thm)],[f471,f108,f468])).
% 23.63/3.50  fof(f505,plain,(
% 23.63/3.50    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f117,f359])).
% 23.63/3.50  fof(f538,plain,(
% 23.63/3.50    $false|~spl0_3),
% 23.63/3.50    inference(forward_subsumption_resolution,[status(thm)],[f81,f109])).
% 23.63/3.50  fof(f539,plain,(
% 23.63/3.50    ~spl0_3),
% 23.63/3.50    inference(contradiction_clause,[status(thm)],[f538])).
% 23.63/3.50  fof(f580,plain,(
% 23.63/3.50    ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),implies(X2,X1))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f505,f7])).
% 23.63/3.50  fof(f654,plain,(
% 23.63/3.50    ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f12,f7])).
% 23.63/3.50  fof(f732,plain,(
% 23.63/3.50    ![X0,X1,X2,X3]: (~is_a_theorem(X0)|~is_a_theorem(implies(implies(not(implies(not(X0),X1)),X2),X3))|is_a_theorem(X3)|~spl0_27)),
% 23.63/3.50    inference(resolution,[status(thm)],[f469,f78])).
% 23.63/3.50  fof(f813,plain,(
% 23.63/3.50    ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f654,f56])).
% 23.63/3.50  fof(f814,plain,(
% 23.63/3.50    ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X2))|~is_a_theorem(implies(X1,X2)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f654,f70])).
% 23.63/3.50  fof(f815,plain,(
% 23.63/3.50    ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f654,f9])).
% 23.63/3.50  fof(f817,plain,(
% 23.63/3.50    ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(implies(not(X1),X1),X2))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f654,f53])).
% 23.63/3.50  fof(f826,plain,(
% 23.63/3.50    ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,implies(not(X1),X2))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f654,f10])).
% 23.63/3.50  fof(f839,plain,(
% 23.63/3.50    ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(X0))),
% 23.63/3.50    inference(resolution,[status(thm)],[f815,f580])).
% 23.63/3.50  fof(f863,plain,(
% 23.63/3.50    ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(implies(X1,implies(X0,X2)))|is_a_theorem(implies(X1,X2)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f839,f654])).
% 23.63/3.50  fof(f904,plain,(
% 23.63/3.50    ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,implies(not(X2),X3))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f826,f73])).
% 23.63/3.50  fof(f909,plain,(
% 23.63/3.50    ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(implies(not(X1),X2)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f826,f7])).
% 23.63/3.50  fof(f1388,plain,(
% 23.63/3.50    ![X0,X1]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(implies(not(X0),X1)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f909,f9])).
% 23.63/3.50  fof(f1741,plain,(
% 23.63/3.50    ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(not(implies(not(X0),X1)),X2),implies(X3,X4)))|~is_a_theorem(X0)|is_a_theorem(implies(implies(not(X3),X3),X4))|~spl0_27)),
% 23.63/3.50    inference(resolution,[status(thm)],[f817,f732])).
% 23.63/3.50  fof(f2168,plain,(
% 23.63/3.50    ![X0,X1]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(implies(implies(X0,X1),X1)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f863,f53])).
% 23.63/3.50  fof(f2855,plain,(
% 23.63/3.50    ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f9,f450])).
% 23.63/3.50  fof(f3120,plain,(
% 23.63/3.50    ![X0,X1]: (is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f1388,f2855])).
% 23.63/3.50  fof(f4406,plain,(
% 23.63/3.50    ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 23.63/3.50    inference(resolution,[status(thm)],[f2168,f3120])).
% 23.63/3.50  fof(f8445,plain,(
% 23.63/3.50    ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f4406,f15])).
% 23.63/3.50  fof(f10901,plain,(
% 23.63/3.50    ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f8445,f15])).
% 23.63/3.50  fof(f11163,plain,(
% 23.63/3.50    ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f10901,f73])).
% 23.63/3.50  fof(f11218,plain,(
% 23.63/3.50    ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f11163,f813])).
% 23.63/3.50  fof(f11283,plain,(
% 23.63/3.50    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 23.63/3.50    inference(resolution,[status(thm)],[f11218,f450])).
% 23.63/3.50  fof(f11298,plain,(
% 23.63/3.50    spl0_301 <=> is_a_theorem(implies(implies(not(X1),X1),implies(X2,X1)))),
% 23.63/3.50    introduced(split_symbol_definition)).
% 23.63/3.50  fof(f11299,plain,(
% 23.63/3.50    ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0)))|~spl0_301)),
% 23.63/3.50    inference(component_clause,[status(thm)],[f11298])).
% 23.63/3.50  fof(f11301,plain,(
% 23.63/3.50    ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(not(X1),X1),implies(X2,X1)))|~spl0_27)),
% 23.63/3.50    inference(resolution,[status(thm)],[f11283,f1741])).
% 23.63/3.50  fof(f11302,plain,(
% 23.63/3.53    spl0_3|spl0_301|~spl0_27),
% 23.63/3.53    inference(split_clause,[status(thm)],[f11301,f108,f11298,f468])).
% 23.63/3.53  fof(f11796,plain,(
% 23.63/3.53    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X0)),X2)))|~spl0_301)),
% 23.63/3.53    inference(resolution,[status(thm)],[f11299,f904])).
% 23.63/3.53  fof(f11869,plain,(
% 23.63/3.53    ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(implies(X2,X0),X1))|~spl0_301)),
% 23.63/3.53    inference(resolution,[status(thm)],[f11796,f814])).
% 23.63/3.53  fof(f13391,plain,(
% 23.63/3.53    ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))|~spl0_301)),
% 23.63/3.53    inference(resolution,[status(thm)],[f11869,f10901])).
% 23.63/3.53  fof(f13779,plain,(
% 23.63/3.53    ~is_a_theorem(implies(implies(x,u),implies(implies(implies(x,y),z),implies(implies(u,y),z))))|~spl0_301),
% 23.63/3.53    inference(resolution,[status(thm)],[f13391,f39])).
% 23.63/3.53  fof(f13780,plain,(
% 23.63/3.53    $false|~spl0_301),
% 23.63/3.53    inference(forward_subsumption_resolution,[status(thm)],[f13779,f20])).
% 23.63/3.53  fof(f13781,plain,(
% 23.63/3.53    ~spl0_301),
% 23.63/3.53    inference(contradiction_clause,[status(thm)],[f13780])).
% 23.63/3.53  fof(f13782,plain,(
% 23.63/3.53    $false),
% 23.63/3.53    inference(sat_refutation,[status(thm)],[f472,f539,f11302,f13781])).
% 23.63/3.53  % SZS output end CNFRefutation for theBenchmark.p
% 24.36/3.58  % Elapsed time: 3.220274 seconds
% 24.36/3.58  % CPU time: 24.282655 seconds
% 24.36/3.58  % Memory used: 266.096 MB
%------------------------------------------------------------------------------