TSTP Solution File: LCL052-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL052-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:18:07 EDT 2023
% Result : Unsatisfiable 3.62s 0.84s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL052-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:01:28 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 3.62/0.84 % Refutation found
% 3.62/0.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.62/0.84 % SZS output start CNFRefutation for theBenchmark
% 3.62/0.84 fof(f1,axiom,(
% 3.62/0.84 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 3.62/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.62/0.84 fof(f2,axiom,(
% 3.62/0.84 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 3.62/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.62/0.84 fof(f3,axiom,(
% 3.62/0.84 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 3.62/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.62/0.84 fof(f4,axiom,(
% 3.62/0.84 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 3.62/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.62/0.84 fof(f5,negated_conjecture,(
% 3.62/0.84 ~ is_a_theorem(implies(implies(implies(a,b),a),a)) ),
% 3.62/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.62/0.84 fof(f6,plain,(
% 3.62/0.84 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 3.62/0.84 inference(miniscoping,[status(esa)],[f1])).
% 3.62/0.84 fof(f7,plain,(
% 3.62/0.84 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 3.62/0.84 inference(cnf_transformation,[status(esa)],[f6])).
% 3.62/0.84 fof(f8,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 3.62/0.84 inference(cnf_transformation,[status(esa)],[f2])).
% 3.62/0.84 fof(f9,plain,(
% 3.62/0.84 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 3.62/0.84 inference(cnf_transformation,[status(esa)],[f3])).
% 3.62/0.84 fof(f10,plain,(
% 3.62/0.84 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 3.62/0.84 inference(cnf_transformation,[status(esa)],[f4])).
% 3.62/0.84 fof(f11,plain,(
% 3.62/0.84 ~is_a_theorem(implies(implies(implies(a,b),a),a))),
% 3.62/0.84 inference(cnf_transformation,[status(esa)],[f5])).
% 3.62/0.84 fof(f12,plain,(
% 3.62/0.84 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f8,f7])).
% 3.62/0.84 fof(f13,plain,(
% 3.62/0.84 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f12,f8])).
% 3.62/0.84 fof(f15,plain,(
% 3.62/0.84 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f13,f7])).
% 3.62/0.84 fof(f18,plain,(
% 3.62/0.84 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f15,f13])).
% 3.62/0.84 fof(f23,plain,(
% 3.62/0.84 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f18,f7])).
% 3.62/0.84 fof(f85,plain,(
% 3.62/0.84 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f9,f12])).
% 3.62/0.84 fof(f86,plain,(
% 3.62/0.84 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X0))),
% 3.62/0.84 inference(resolution,[status(thm)],[f9,f7])).
% 3.62/0.84 fof(f89,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f10,f23])).
% 3.62/0.84 fof(f92,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f10,f12])).
% 3.62/0.84 fof(f93,plain,(
% 3.62/0.84 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f10,f7])).
% 3.62/0.84 fof(f94,plain,(
% 3.62/0.84 ![X0,X1]: (is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f93,f9])).
% 3.62/0.84 fof(f105,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f93,f10])).
% 3.62/0.84 fof(f137,plain,(
% 3.62/0.84 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X0),X1)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f85,f7])).
% 3.62/0.84 fof(f152,plain,(
% 3.62/0.84 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f92,f7])).
% 3.62/0.84 fof(f169,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(implies(not(implies(X0,X1)),implies(X0,X1)),implies(implies(X1,X2),implies(X0,X2)))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f137,f8])).
% 3.62/0.84 fof(f170,plain,(
% 3.62/0.84 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X0),implies(not(X0),X1))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f137,f10])).
% 3.62/0.84 fof(f176,plain,(
% 3.62/0.84 ![X0,X1]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(implies(not(X0),X1)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f170,f7])).
% 3.62/0.84 fof(f184,plain,(
% 3.62/0.84 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f152,f9])).
% 3.62/0.84 fof(f185,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f152,f89])).
% 3.62/0.84 fof(f203,plain,(
% 3.62/0.84 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f184,f93])).
% 3.62/0.84 fof(f252,plain,(
% 3.62/0.84 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(not(X0),X2))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f185,f7])).
% 3.62/0.84 fof(f256,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f252,f184])).
% 3.62/0.84 fof(f258,plain,(
% 3.62/0.84 spl0_6 <=> ~is_a_theorem(X0)),
% 3.62/0.84 introduced(split_symbol_definition)).
% 3.62/0.84 fof(f259,plain,(
% 3.62/0.84 ![X0]: (~is_a_theorem(X0)|~spl0_6)),
% 3.62/0.84 inference(component_clause,[status(thm)],[f258])).
% 3.62/0.84 fof(f261,plain,(
% 3.62/0.84 spl0_7 <=> is_a_theorem(implies(not(implies(X1,X1)),X2))),
% 3.62/0.84 introduced(split_symbol_definition)).
% 3.62/0.84 fof(f262,plain,(
% 3.62/0.84 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1))|~spl0_7)),
% 3.62/0.84 inference(component_clause,[status(thm)],[f261])).
% 3.62/0.84 fof(f264,plain,(
% 3.62/0.84 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(not(implies(X1,X1)),X2)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f256,f7])).
% 3.62/0.84 fof(f265,plain,(
% 3.62/0.84 spl0_6|spl0_7),
% 3.62/0.84 inference(split_clause,[status(thm)],[f264,f258,f261])).
% 3.62/0.84 fof(f268,plain,(
% 3.62/0.84 $false|~spl0_6),
% 3.62/0.84 inference(backward_subsumption_resolution,[status(thm)],[f203,f259])).
% 3.62/0.84 fof(f269,plain,(
% 3.62/0.84 ~spl0_6),
% 3.62/0.84 inference(contradiction_clause,[status(thm)],[f268])).
% 3.62/0.84 fof(f354,plain,(
% 3.62/0.84 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(not(implies(not(implies(X1,X1)),X2)),X3)))|~spl0_7)),
% 3.62/0.84 inference(resolution,[status(thm)],[f252,f262])).
% 3.62/0.84 fof(f381,plain,(
% 3.62/0.84 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f94,f86])).
% 3.62/0.84 fof(f390,plain,(
% 3.62/0.84 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f105,f86])).
% 3.62/0.84 fof(f438,plain,(
% 3.62/0.84 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f12,f256])).
% 3.62/0.84 fof(f440,plain,(
% 3.62/0.84 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f12,f185])).
% 3.62/0.84 fof(f533,plain,(
% 3.62/0.84 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(not(implies(not(implies(X0,X0)),X1)),X2),X3),implies(X4,X3)))|~spl0_7)),
% 3.62/0.84 inference(resolution,[status(thm)],[f354,f12])).
% 3.62/0.84 fof(f967,plain,(
% 3.62/0.84 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(not(implies(X0,X0)),X1),X2))|is_a_theorem(implies(X3,X2)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f438,f7])).
% 3.62/0.84 fof(f975,plain,(
% 3.62/0.84 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))|is_a_theorem(implies(X1,X3)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f440,f7])).
% 3.62/0.84 fof(f983,plain,(
% 3.62/0.84 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f967,f381])).
% 3.62/0.84 fof(f1004,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f983,f12])).
% 3.62/0.84 fof(f1033,plain,(
% 3.62/0.84 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(X2,X1)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f1004,f7])).
% 3.62/0.84 fof(f1047,plain,(
% 3.62/0.84 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f1033,f85])).
% 3.62/0.84 fof(f1109,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f1047,f12])).
% 3.62/0.84 fof(f1945,plain,(
% 3.62/0.84 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))|is_a_theorem(implies(X2,X1)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f1109,f7])).
% 3.62/0.84 fof(f2017,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f15,f1109])).
% 3.62/0.84 fof(f2020,plain,(
% 3.62/0.84 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(X0,not(implies(not(implies(X1,X1)),X2))),implies(X3,implies(X0,X4))))|~spl0_7)),
% 3.62/0.84 inference(resolution,[status(thm)],[f15,f533])).
% 3.62/0.84 fof(f2089,plain,(
% 3.62/0.84 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(X0,not(implies(not(implies(X1,X1)),X2))))|is_a_theorem(implies(X3,implies(X0,X4)))|~spl0_7)),
% 3.62/0.84 inference(resolution,[status(thm)],[f2020,f7])).
% 3.62/0.84 fof(f3354,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X1,X0),X0)))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f2017,f15])).
% 3.62/0.84 fof(f3357,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f2017,f975])).
% 3.62/0.84 fof(f3362,plain,(
% 3.62/0.84 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X2,implies(X0,X1))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f2017,f7])).
% 3.62/0.84 fof(f3382,plain,(
% 3.62/0.84 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X2,X3))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f3357,f12])).
% 3.62/0.84 fof(f4248,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f3382,f1945])).
% 3.62/0.84 fof(f4270,plain,(
% 3.62/0.84 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f4248,f86])).
% 3.62/0.84 fof(f4310,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f4270,f12])).
% 3.62/0.84 fof(f4666,plain,(
% 3.62/0.84 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f4310,f7])).
% 3.62/0.84 fof(f10631,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f3354,f4666])).
% 3.62/0.84 fof(f18132,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f3362,f10631])).
% 3.62/0.84 fof(f18180,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(X0,implies(implies(X0,X1),X1))),X2)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f18132,f176])).
% 3.62/0.84 fof(f18181,plain,(
% 3.62/0.84 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f18132,f86])).
% 3.62/0.84 fof(f18272,plain,(
% 3.62/0.84 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),X1)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f18181,f7])).
% 3.62/0.84 fof(f18370,plain,(
% 3.62/0.84 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f18272,f381])).
% 3.62/0.84 fof(f18558,plain,(
% 3.62/0.84 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,implies(not(X0),X1)),X2),X2)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f18272,f390])).
% 3.62/0.84 fof(f20812,plain,(
% 3.62/0.84 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(not(implies(X1,implies(implies(X1,X2),X2))),X3)))|~spl0_7)),
% 3.62/0.84 inference(resolution,[status(thm)],[f18180,f2089])).
% 3.62/0.84 fof(f20951,plain,(
% 3.62/0.84 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f18370,f15])).
% 3.62/0.84 fof(f21035,plain,(
% 3.62/0.84 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))|is_a_theorem(X2))),
% 3.62/0.84 inference(resolution,[status(thm)],[f18558,f7])).
% 3.62/0.84 fof(f21624,plain,(
% 3.62/0.84 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 3.62/0.84 inference(resolution,[status(thm)],[f20951,f15])).
% 3.62/0.84 fof(f22162,plain,(
% 3.62/0.84 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X1,X0),X0)))),
% 3.62/0.84 inference(resolution,[status(thm)],[f21624,f7])).
% 3.62/0.84 fof(f24070,plain,(
% 3.62/0.84 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(X2,X3),X3)))))|~spl0_7)),
% 3.62/0.84 inference(resolution,[status(thm)],[f20812,f3362])).
% 3.62/0.84 fof(f24112,plain,(
% 3.62/0.84 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,implies(implies(X1,X2),X2))),X3),X3))|~spl0_7)),
% 3.62/0.86 inference(resolution,[status(thm)],[f24070,f22162])).
% 3.62/0.86 fof(f24421,plain,(
% 3.62/0.86 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,implies(implies(X1,X2),X2))),X3))|is_a_theorem(X3)|~spl0_7)),
% 3.62/0.86 inference(resolution,[status(thm)],[f24112,f7])).
% 3.62/0.86 fof(f24880,plain,(
% 3.62/0.86 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))|~spl0_7)),
% 3.62/0.86 inference(resolution,[status(thm)],[f24421,f169])).
% 3.62/0.86 fof(f25066,plain,(
% 3.62/0.86 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))|~spl0_7)),
% 3.62/0.86 inference(resolution,[status(thm)],[f24880,f15])).
% 3.62/0.86 fof(f25199,plain,(
% 3.62/0.86 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1)))|~spl0_7)),
% 3.62/0.86 inference(resolution,[status(thm)],[f25066,f21035])).
% 3.62/0.86 fof(f25252,plain,(
% 3.62/0.86 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0))|~spl0_7)),
% 3.62/0.86 inference(resolution,[status(thm)],[f25199,f22162])).
% 3.62/0.86 fof(f26952,plain,(
% 3.62/0.86 $false|~spl0_7),
% 3.62/0.86 inference(backward_subsumption_resolution,[status(thm)],[f11,f25252])).
% 3.62/0.86 fof(f26953,plain,(
% 3.62/0.86 ~spl0_7),
% 3.62/0.86 inference(contradiction_clause,[status(thm)],[f26952])).
% 3.62/0.86 fof(f26954,plain,(
% 3.62/0.86 $false),
% 3.62/0.86 inference(sat_refutation,[status(thm)],[f265,f269,f26953])).
% 3.62/0.86 % SZS output end CNFRefutation for theBenchmark.p
% 4.06/0.88 % Elapsed time: 0.529435 seconds
% 4.06/0.88 % CPU time: 4.036978 seconds
% 4.06/0.88 % Memory used: 100.538 MB
%------------------------------------------------------------------------------