TSTP Solution File: LCL092-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL092-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 : Tue Apr 30 20:26:20 EDT 2024

% Result   : Unsatisfiable 2.07s 0.59s
% Output   : CNFRefutation 2.07s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : LCL092-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n008.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 : Mon Apr 29 20:19:12 EDT 2024
% 0.10/0.30  % CPUTime  : 
% 0.10/0.31  % Drodi V3.6.0
% 2.07/0.59  % Refutation found
% 2.07/0.59  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.07/0.59  % SZS output start CNFRefutation for theBenchmark
% 2.07/0.59  fof(f1,axiom,(
% 2.07/0.59    (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 2.07/0.59    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.07/0.59  fof(f2,axiom,(
% 2.07/0.59    (![P,Q,R,S,T]: (is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P))))) ))),
% 2.07/0.59    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.07/0.59  fof(f3,negated_conjecture,(
% 2.07/0.59    ~ is_a_theorem(implies(implies(implies(a,b),a),a)) ),
% 2.07/0.59    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.07/0.59  fof(f4,plain,(
% 2.07/0.59    ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 2.07/0.59    inference(miniscoping,[status(esa)],[f1])).
% 2.07/0.59  fof(f5,plain,(
% 2.07/0.59    ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 2.07/0.59    inference(cnf_transformation,[status(esa)],[f4])).
% 2.07/0.59  fof(f6,plain,(
% 2.07/0.59    ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(X3,X0),implies(X4,implies(X2,X0))))))),
% 2.07/0.59    inference(cnf_transformation,[status(esa)],[f2])).
% 2.07/0.59  fof(f7,plain,(
% 2.07/0.59    ~is_a_theorem(implies(implies(implies(a,b),a),a))),
% 2.07/0.59    inference(cnf_transformation,[status(esa)],[f3])).
% 2.07/0.59  fof(f8,plain,(
% 2.07/0.59    ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0)))))),
% 2.07/0.59    inference(resolution,[status(thm)],[f6,f5])).
% 2.07/0.59  fof(f9,plain,(
% 2.07/0.59    ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X2,X3)),implies(X4,implies(implies(X5,X2),implies(X2,X3))))))),
% 2.07/0.59    inference(resolution,[status(thm)],[f8,f6])).
% 2.07/0.59  fof(f10,plain,(
% 2.07/0.59    ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X4,X1))),implies(X5,implies(X6,implies(X3,implies(X4,X1)))))))),
% 2.07/0.59    inference(resolution,[status(thm)],[f9,f8])).
% 2.07/0.59  fof(f11,plain,(
% 2.07/0.59    ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,X3)))|is_a_theorem(implies(X4,implies(implies(X5,X2),implies(X2,X3)))))),
% 2.07/0.59    inference(resolution,[status(thm)],[f9,f5])).
% 2.07/0.59  fof(f12,plain,(
% 2.07/0.59    ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X4,X3),implies(X3,X5))),implies(X6,implies(X7,implies(implies(X4,X3),implies(X3,X5)))))))),
% 2.07/0.59    inference(resolution,[status(thm)],[f10,f8])).
% 2.07/0.59  fof(f13,plain,(
% 2.07/0.59    ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X4,X1))))|is_a_theorem(implies(X5,implies(X6,implies(X3,implies(X4,X1))))))),
% 2.07/0.59    inference(resolution,[status(thm)],[f10,f5])).
% 2.07/0.59  fof(f15,plain,(
% 2.07/0.59    ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))))),
% 2.07/0.59    inference(resolution,[status(thm)],[f11,f9])).
% 2.07/0.59  fof(f17,plain,(
% 2.07/0.59    ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X0))),X3),implies(X4,implies(implies(X5,X0),X3)))))),
% 2.07/0.59    inference(resolution,[status(thm)],[f15,f8])).
% 2.07/0.60  fof(f18,plain,(
% 2.07/0.60    spl0_0 <=> ~is_a_theorem(X0)),
% 2.07/0.60    introduced(split_symbol_definition)).
% 2.07/0.60  fof(f19,plain,(
% 2.07/0.60    ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 2.07/0.60    inference(component_clause,[status(thm)],[f18])).
% 2.07/0.60  fof(f33,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X5,X2)))))))),
% 2.07/0.60    inference(resolution,[status(thm)],[f17,f11])).
% 2.07/0.60  fof(f68,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),implies(X4,implies(X5,implies(X6,X2)))),implies(X7,implies(X8,implies(X4,implies(X5,implies(X6,X2))))))))),
% 2.07/0.60    inference(resolution,[status(thm)],[f12,f8])).
% 2.07/0.60  fof(f69,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X4,X3),implies(X3,X5))))|is_a_theorem(implies(X6,implies(X7,implies(implies(X4,X3),implies(X3,X5))))))),
% 2.07/0.60    inference(resolution,[status(thm)],[f12,f5])).
% 2.07/0.60  fof(f72,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X3,implies(implies(X4,X5),implies(X6,X3))))))))),
% 2.07/0.60    inference(resolution,[status(thm)],[f13,f33])).
% 2.07/0.60  fof(f76,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X4,X1)))),X5),implies(X6,implies(X7,X5)))))),
% 2.07/0.60    inference(resolution,[status(thm)],[f72,f8])).
% 2.07/0.60  fof(f145,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~is_a_theorem(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),implies(X4,implies(X5,implies(X6,X2)))))|is_a_theorem(implies(X7,implies(X8,implies(X4,implies(X5,implies(X6,X2)))))))),
% 2.07/0.60    inference(resolution,[status(thm)],[f68,f5])).
% 2.07/0.60  fof(f146,plain,(
% 2.07/0.60    $false|~spl0_0),
% 2.07/0.60    inference(backward_subsumption_resolution,[status(thm)],[f76,f19])).
% 2.07/0.60  fof(f147,plain,(
% 2.07/0.60    ~spl0_0),
% 2.07/0.60    inference(contradiction_clause,[status(thm)],[f146])).
% 2.07/0.60  fof(f834,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))))),
% 2.07/0.60    inference(resolution,[status(thm)],[f69,f6])).
% 2.07/0.60  fof(f872,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X1),implies(X1,implies(X2,X1))),X3),implies(X4,implies(X5,X3)))))),
% 2.07/0.60    inference(resolution,[status(thm)],[f834,f8])).
% 2.07/0.60  fof(f875,plain,(
% 2.07/0.60    spl0_37 <=> is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))),
% 2.07/0.60    introduced(split_symbol_definition)).
% 2.07/0.60  fof(f876,plain,(
% 2.07/0.60    ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2)))))|~spl0_37)),
% 2.07/0.60    inference(component_clause,[status(thm)],[f875])).
% 2.07/0.60  fof(f878,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3))))))),
% 2.07/0.60    inference(resolution,[status(thm)],[f834,f5])).
% 2.07/0.60  fof(f879,plain,(
% 2.07/0.60    spl0_0|spl0_37),
% 2.07/0.60    inference(split_clause,[status(thm)],[f878,f18,f875])).
% 2.07/0.60  fof(f911,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),X1),implies(X1,implies(X2,X1))),X3))|is_a_theorem(implies(X4,implies(X5,X3))))),
% 2.07/0.60    inference(resolution,[status(thm)],[f872,f5])).
% 2.07/0.60  fof(f1007,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,implies(implies(implies(X4,X0),X0),X2))))|~spl0_37)),
% 2.07/0.60    inference(resolution,[status(thm)],[f876,f8])).
% 2.07/0.60  fof(f1093,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X1),X2),implies(X1,implies(X3,X1))),implies(X4,implies(X5,implies(X1,implies(X3,X1))))))|~spl0_37)),
% 2.07/0.60    inference(resolution,[status(thm)],[f1007,f8])).
% 2.07/0.60  fof(f1217,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X4)))))))|~spl0_37)),
% 2.07/0.60    inference(resolution,[status(thm)],[f1093,f911])).
% 2.07/0.60  fof(f1241,plain,(
% 2.07/0.60    spl0_45 <=> is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X4))))))),
% 2.07/0.60    introduced(split_symbol_definition)).
% 2.07/0.60  fof(f1242,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X3))))))|~spl0_45)),
% 2.07/0.60    inference(component_clause,[status(thm)],[f1241])).
% 2.07/0.60  fof(f1244,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X4))))))|~spl0_37)),
% 2.07/0.60    inference(resolution,[status(thm)],[f1217,f5])).
% 2.07/0.60  fof(f1245,plain,(
% 2.07/0.60    spl0_0|spl0_45|~spl0_37),
% 2.07/0.60    inference(split_clause,[status(thm)],[f1244,f18,f1241,f875])).
% 2.07/0.60  fof(f1254,plain,(
% 2.07/0.60    spl0_46 <=> is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3)))))),
% 2.07/0.60    introduced(split_symbol_definition)).
% 2.07/0.60  fof(f1255,plain,(
% 2.07/0.60    ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2)))))|~spl0_46)),
% 2.07/0.60    inference(component_clause,[status(thm)],[f1254])).
% 2.07/0.60  fof(f1257,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3)))))|~spl0_45)),
% 2.07/0.60    inference(resolution,[status(thm)],[f1242,f5])).
% 2.07/0.60  fof(f1258,plain,(
% 2.07/0.60    spl0_0|spl0_46|~spl0_45),
% 2.07/0.60    inference(split_clause,[status(thm)],[f1257,f18,f1254,f1241])).
% 2.07/0.60  fof(f1265,plain,(
% 2.07/0.60    spl0_47 <=> is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))),
% 2.07/0.60    introduced(split_symbol_definition)).
% 2.07/0.60  fof(f1266,plain,(
% 2.07/0.60    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~spl0_47)),
% 2.07/0.60    inference(component_clause,[status(thm)],[f1265])).
% 2.07/0.60  fof(f1268,plain,(
% 2.07/0.60    ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))|~spl0_46)),
% 2.07/0.60    inference(resolution,[status(thm)],[f1255,f5])).
% 2.07/0.60  fof(f1269,plain,(
% 2.07/0.60    spl0_0|spl0_47|~spl0_46),
% 2.07/0.60    inference(split_clause,[status(thm)],[f1268,f18,f1265,f1254])).
% 2.07/0.60  fof(f1276,plain,(
% 2.07/0.60    spl0_48 <=> is_a_theorem(implies(X1,implies(X2,X1)))),
% 2.07/0.60    introduced(split_symbol_definition)).
% 2.07/0.60  fof(f1277,plain,(
% 2.07/0.60    ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_48)),
% 2.07/0.60    inference(component_clause,[status(thm)],[f1276])).
% 2.07/0.60  fof(f1279,plain,(
% 2.07/0.60    ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1)))|~spl0_47)),
% 2.07/0.60    inference(resolution,[status(thm)],[f1266,f5])).
% 2.07/0.60  fof(f1280,plain,(
% 2.07/0.60    spl0_0|spl0_48|~spl0_47),
% 2.07/0.60    inference(split_clause,[status(thm)],[f1279,f18,f1276,f1265])).
% 2.07/0.60  fof(f1288,plain,(
% 2.07/0.60    ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,implies(X3,X0))))|~spl0_48)),
% 2.07/0.60    inference(resolution,[status(thm)],[f1277,f8])).
% 2.07/0.60  fof(f1349,plain,(
% 2.07/0.60    ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X0))|is_a_theorem(implies(X2,implies(X3,X0)))|~spl0_48)),
% 2.07/0.60    inference(resolution,[status(thm)],[f1288,f5])).
% 2.07/0.60  fof(f1801,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2)))))))),
% 2.07/0.60    inference(resolution,[status(thm)],[f145,f6])).
% 2.07/0.60  fof(f2015,plain,(
% 2.07/0.60    spl0_60 <=> is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2)))))),
% 2.07/0.60    introduced(split_symbol_definition)).
% 2.07/0.60  fof(f2016,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X4,X1),X1)))))|~spl0_60)),
% 2.07/0.60    inference(component_clause,[status(thm)],[f2015])).
% 2.07/0.60  fof(f2018,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2))))))),
% 2.07/0.60    inference(resolution,[status(thm)],[f1801,f5])).
% 2.07/0.60  fof(f2019,plain,(
% 2.07/0.60    spl0_0|spl0_60),
% 2.07/0.60    inference(split_clause,[status(thm)],[f2018,f18,f2015])).
% 2.07/0.60  fof(f2282,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),X2)),X3),implies(X4,implies(implies(implies(X2,X5),X2),X3))))|~spl0_60)),
% 2.07/0.60    inference(resolution,[status(thm)],[f2016,f8])).
% 2.07/0.60  fof(f2323,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3)))))|~spl0_60|~spl0_48)),
% 2.07/0.60    inference(resolution,[status(thm)],[f2282,f1349])).
% 2.07/0.60  fof(f3696,plain,(
% 2.07/0.60    spl0_93 <=> is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3))))),
% 2.07/0.60    introduced(split_symbol_definition)).
% 2.07/0.60  fof(f3697,plain,(
% 2.07/0.60    ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),X2))))|~spl0_93)),
% 2.07/0.60    inference(component_clause,[status(thm)],[f3696])).
% 2.07/0.60  fof(f3699,plain,(
% 2.07/0.60    ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3))))|~spl0_60|~spl0_48)),
% 2.07/0.60    inference(resolution,[status(thm)],[f2323,f5])).
% 2.07/0.60  fof(f3700,plain,(
% 2.07/0.60    spl0_0|spl0_93|~spl0_60|~spl0_48),
% 2.07/0.60    inference(split_clause,[status(thm)],[f3699,f18,f3696,f2015,f1276])).
% 2.07/0.60  fof(f3708,plain,(
% 2.07/0.60    spl0_94 <=> is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2)))),
% 2.07/0.60    introduced(split_symbol_definition)).
% 2.07/0.60  fof(f3709,plain,(
% 2.07/0.60    ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1)))|~spl0_94)),
% 2.07/0.60    inference(component_clause,[status(thm)],[f3708])).
% 2.07/0.60  fof(f3711,plain,(
% 2.07/0.60    ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2)))|~spl0_93)),
% 2.07/0.60    inference(resolution,[status(thm)],[f3697,f5])).
% 2.07/0.60  fof(f3712,plain,(
% 2.07/0.60    spl0_0|spl0_94|~spl0_93),
% 2.07/0.60    inference(split_clause,[status(thm)],[f3711,f18,f3708,f3696])).
% 2.07/0.60  fof(f3719,plain,(
% 2.07/0.60    spl0_95 <=> is_a_theorem(implies(implies(implies(X1,X2),X1),X1))),
% 2.07/0.60    introduced(split_symbol_definition)).
% 2.07/0.60  fof(f3720,plain,(
% 2.07/0.60    ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0))|~spl0_95)),
% 2.07/0.60    inference(component_clause,[status(thm)],[f3719])).
% 2.07/0.60  fof(f3722,plain,(
% 2.07/0.60    ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),X1),X1))|~spl0_94)),
% 2.07/0.60    inference(resolution,[status(thm)],[f3709,f5])).
% 2.07/0.60  fof(f3723,plain,(
% 2.07/0.60    spl0_0|spl0_95|~spl0_94),
% 2.07/0.60    inference(split_clause,[status(thm)],[f3722,f18,f3719,f3708])).
% 2.07/0.60  fof(f3728,plain,(
% 2.07/0.60    $false|~spl0_95),
% 2.07/0.60    inference(backward_subsumption_resolution,[status(thm)],[f7,f3720])).
% 2.07/0.60  fof(f3729,plain,(
% 2.07/0.60    ~spl0_95),
% 2.07/0.60    inference(contradiction_clause,[status(thm)],[f3728])).
% 2.07/0.60  fof(f3730,plain,(
% 2.07/0.60    $false),
% 2.07/0.60    inference(sat_refutation,[status(thm)],[f147,f879,f1245,f1258,f1269,f1280,f2019,f3700,f3712,f3723,f3729])).
% 2.07/0.60  % SZS output end CNFRefutation for theBenchmark.p
% 2.07/0.61  % Elapsed time: 0.295337 seconds
% 2.07/0.61  % CPU time: 2.218488 seconds
% 2.07/0.61  % Total memory used: 80.508 MB
% 2.07/0.61  % Net memory used: 76.885 MB
%------------------------------------------------------------------------------