TSTP Solution File: LCL380-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL380-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:19:07 EDT 2023
% Result : Unsatisfiable 3.79s 0.78s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : LCL380-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.26 % Computer : n017.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Tue May 30 09:11:40 EDT 2023
% 0.08/0.26 % CPUTime :
% 0.08/0.27 % Drodi V3.5.1
% 3.79/0.78 % Refutation found
% 3.79/0.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.79/0.78 % SZS output start CNFRefutation for theBenchmark
% 3.79/0.78 fof(f1,axiom,(
% 3.79/0.78 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 3.79/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.79/0.78 fof(f2,axiom,(
% 3.79/0.78 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 3.79/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.79/0.78 fof(f3,axiom,(
% 3.79/0.78 (![X]: (is_a_theorem(implies(implies(not(X),X),X)) ))),
% 3.79/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.79/0.78 fof(f4,axiom,(
% 3.79/0.78 (![X,Y]: (is_a_theorem(implies(X,implies(not(X),Y))) ))),
% 3.79/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.79/0.78 fof(f5,negated_conjecture,(
% 3.79/0.78 ~ is_a_theorem(implies(implies(x,y),implies(not(not(x)),y))) ),
% 3.79/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.79/0.78 fof(f6,plain,(
% 3.79/0.78 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 3.79/0.78 inference(miniscoping,[status(esa)],[f1])).
% 3.79/0.78 fof(f7,plain,(
% 3.79/0.78 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 3.79/0.78 inference(cnf_transformation,[status(esa)],[f6])).
% 3.79/0.78 fof(f8,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 3.79/0.78 inference(cnf_transformation,[status(esa)],[f2])).
% 3.79/0.78 fof(f9,plain,(
% 3.79/0.78 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 3.79/0.78 inference(cnf_transformation,[status(esa)],[f3])).
% 3.79/0.78 fof(f10,plain,(
% 3.79/0.78 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 3.79/0.78 inference(cnf_transformation,[status(esa)],[f4])).
% 3.79/0.78 fof(f11,plain,(
% 3.79/0.78 ~is_a_theorem(implies(implies(x,y),implies(not(not(x)),y)))),
% 3.79/0.78 inference(cnf_transformation,[status(esa)],[f5])).
% 3.79/0.78 fof(f12,plain,(
% 3.79/0.78 ![X0]: (~is_a_theorem(implies(not(X0),X0))|is_a_theorem(X0))),
% 3.79/0.78 inference(resolution,[status(thm)],[f7,f9])).
% 3.79/0.78 fof(f13,plain,(
% 3.79/0.78 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(not(X0),X1)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f7,f10])).
% 3.79/0.78 fof(f14,plain,(
% 3.79/0.78 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f8,f7])).
% 3.79/0.78 fof(f37,plain,(
% 3.79/0.78 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f14,f9])).
% 3.79/0.78 fof(f38,plain,(
% 3.79/0.78 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f14,f8])).
% 3.79/0.78 fof(f39,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f14,f10])).
% 3.79/0.78 fof(f40,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f37,f14])).
% 3.79/0.78 fof(f43,plain,(
% 3.79/0.78 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(not(X0),X3),X1),X2))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f39,f14])).
% 3.79/0.78 fof(f44,plain,(
% 3.79/0.78 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f39,f7])).
% 3.79/0.78 fof(f67,plain,(
% 3.79/0.78 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f44,f9])).
% 3.79/0.78 fof(f82,plain,(
% 3.79/0.78 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f38,f7])).
% 3.79/0.78 fof(f87,plain,(
% 3.79/0.78 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f67,f13])).
% 3.79/0.78 fof(f90,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f87,f14])).
% 3.79/0.78 fof(f132,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f90,f44])).
% 3.79/0.78 fof(f141,plain,(
% 3.79/0.78 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f132,f14])).
% 3.79/0.78 fof(f142,plain,(
% 3.79/0.78 spl0_7 <=> ~is_a_theorem(X0)),
% 3.79/0.78 introduced(split_symbol_definition)).
% 3.79/0.78 fof(f143,plain,(
% 3.79/0.78 ![X0]: (~is_a_theorem(X0)|~spl0_7)),
% 3.79/0.78 inference(component_clause,[status(thm)],[f142])).
% 3.79/0.78 fof(f145,plain,(
% 3.79/0.78 spl0_8 <=> is_a_theorem(implies(not(implies(X1,X1)),X2))),
% 3.79/0.78 introduced(split_symbol_definition)).
% 3.79/0.78 fof(f146,plain,(
% 3.79/0.78 ![X0,X1]: (is_a_theorem(implies(not(implies(X0,X0)),X1))|~spl0_8)),
% 3.79/0.78 inference(component_clause,[status(thm)],[f145])).
% 3.79/0.78 fof(f148,plain,(
% 3.79/0.78 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(not(implies(X1,X1)),X2)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f132,f7])).
% 3.79/0.78 fof(f149,plain,(
% 3.79/0.78 spl0_7|spl0_8),
% 3.79/0.78 inference(split_clause,[status(thm)],[f148,f142,f145])).
% 3.79/0.78 fof(f273,plain,(
% 3.79/0.78 $false|~spl0_7),
% 3.79/0.78 inference(forward_subsumption_resolution,[status(thm)],[f67,f143])).
% 3.79/0.78 fof(f274,plain,(
% 3.79/0.78 ~spl0_7),
% 3.79/0.78 inference(contradiction_clause,[status(thm)],[f273])).
% 3.79/0.78 fof(f275,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(not(implies(not(implies(X0,X0)),X1)),X2))|~spl0_8)),
% 3.79/0.78 inference(resolution,[status(thm)],[f13,f146])).
% 3.79/0.78 fof(f357,plain,(
% 3.79/0.78 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(not(implies(not(implies(X2,X2)),X3)),X1)))|~spl0_8)),
% 3.79/0.78 inference(resolution,[status(thm)],[f14,f275])).
% 3.79/0.78 fof(f502,plain,(
% 3.79/0.78 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(not(implies(not(implies(X1,X1)),X2)),X3)))|~spl0_8)),
% 3.79/0.78 inference(resolution,[status(thm)],[f357,f44])).
% 3.79/0.78 fof(f516,plain,(
% 3.79/0.78 ![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)),
% 3.79/0.78 inference(resolution,[status(thm)],[f502,f14])).
% 3.79/0.78 fof(f867,plain,(
% 3.79/0.78 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(not(X0),X0),X1),X2))|is_a_theorem(implies(implies(X0,X1),X2)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f40,f7])).
% 3.79/0.78 fof(f1299,plain,(
% 3.79/0.78 ![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)),
% 3.79/0.78 inference(resolution,[status(thm)],[f82,f516])).
% 3.79/0.78 fof(f1303,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f82,f39])).
% 3.79/0.78 fof(f1348,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2))))|~spl0_8)),
% 3.79/0.78 inference(resolution,[status(thm)],[f1299,f44])).
% 3.79/0.78 fof(f1366,plain,(
% 3.79/0.78 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3)))|~spl0_8)),
% 3.79/0.78 inference(resolution,[status(thm)],[f1348,f14])).
% 3.79/0.78 fof(f1587,plain,(
% 3.79/0.78 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))|is_a_theorem(implies(X1,X3))|~spl0_8)),
% 3.79/0.78 inference(resolution,[status(thm)],[f1366,f7])).
% 3.79/0.78 fof(f1980,plain,(
% 3.79/0.78 ![X0,X1,X2]: (~is_a_theorem(implies(X0,not(X1)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f1303,f7])).
% 3.79/0.78 fof(f2392,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f867,f141])).
% 3.79/0.78 fof(f2433,plain,(
% 3.79/0.78 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(X2,X1)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f2392,f7])).
% 3.79/0.78 fof(f2471,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f2433,f2392])).
% 3.79/0.78 fof(f2481,plain,(
% 3.79/0.78 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f2433,f37])).
% 3.79/0.78 fof(f2552,plain,(
% 3.79/0.78 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f2471,f14])).
% 3.79/0.78 fof(f3344,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f14,f2481])).
% 3.79/0.78 fof(f3848,plain,(
% 3.79/0.78 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))|is_a_theorem(implies(X3,X2)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f2552,f7])).
% 3.79/0.78 fof(f4685,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f3344,f82])).
% 3.79/0.78 fof(f4692,plain,(
% 3.79/0.78 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))|is_a_theorem(implies(X2,X1)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f3344,f7])).
% 3.79/0.78 fof(f5148,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X1,X0),X0)))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f4685,f82])).
% 3.79/0.78 fof(f5153,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X0))))|~spl0_8)),
% 3.79/0.78 inference(resolution,[status(thm)],[f4685,f1587])).
% 3.79/0.78 fof(f5159,plain,(
% 3.79/0.78 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X2,implies(X0,X1))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f4685,f7])).
% 3.79/0.78 fof(f5172,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(not(not(X1)),X2),X1),X1))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f4692,f43])).
% 3.79/0.78 fof(f5244,plain,(
% 3.79/0.78 ![X0,X1]: (is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f5172,f12])).
% 3.79/0.78 fof(f5265,plain,(
% 3.79/0.78 ![X0,X1]: (is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f5244,f82])).
% 3.79/0.78 fof(f5273,plain,(
% 3.79/0.78 ![X0,X1]: (~is_a_theorem(implies(implies(not(not(X0)),X1),X0))|is_a_theorem(X0))),
% 3.79/0.78 inference(resolution,[status(thm)],[f5244,f7])).
% 3.79/0.78 fof(f5510,plain,(
% 3.79/0.78 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X2),X3),X3)))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f5148,f3848])).
% 3.79/0.78 fof(f5679,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f5510,f5273])).
% 3.79/0.78 fof(f6871,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(implies(not(X1),X1),X1),X2),X2))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f5159,f3344])).
% 3.79/0.78 fof(f6971,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~spl0_8)),
% 3.79/0.78 inference(resolution,[status(thm)],[f5159,f5153])).
% 3.79/0.78 fof(f7785,plain,(
% 3.79/0.78 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_8)),
% 3.79/0.78 inference(resolution,[status(thm)],[f6971,f5273])).
% 3.79/0.78 fof(f7857,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~spl0_8)),
% 3.79/0.78 inference(resolution,[status(thm)],[f7785,f14])).
% 3.79/0.78 fof(f8244,plain,(
% 3.79/0.78 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2))|~spl0_8)),
% 3.79/0.78 inference(resolution,[status(thm)],[f7857,f7])).
% 3.79/0.78 fof(f8302,plain,(
% 3.79/0.78 ![X0,X1]: (is_a_theorem(implies(not(not(implies(X0,X1))),implies(X0,X1)))|~spl0_8)),
% 3.79/0.78 inference(resolution,[status(thm)],[f8244,f5265])).
% 3.79/0.78 fof(f8418,plain,(
% 3.79/0.78 ![X0,X1]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f6871,f5273])).
% 3.79/0.78 fof(f8467,plain,(
% 3.79/0.78 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f8418,f82])).
% 3.79/0.78 fof(f8525,plain,(
% 3.79/0.78 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f8467,f82])).
% 3.79/0.78 fof(f8544,plain,(
% 3.79/0.78 ![X0,X1]: (~is_a_theorem(implies(X0,implies(not(X1),X1)))|is_a_theorem(implies(X0,X1)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f8467,f7])).
% 3.79/0.78 fof(f8647,plain,(
% 3.79/0.78 ![X0,X1]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X1,X0),X0)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f8525,f7])).
% 3.79/0.78 fof(f8920,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X0),X1),X1),X2),X2)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f8647,f5679])).
% 3.79/0.78 fof(f9558,plain,(
% 3.79/0.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X0,X2))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f8920,f82])).
% 3.79/0.78 fof(f9649,plain,(
% 3.79/0.78 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|is_a_theorem(implies(X0,X2)))),
% 3.79/0.78 inference(resolution,[status(thm)],[f9558,f7])).
% 3.79/0.78 fof(f11202,plain,(
% 3.79/0.78 ![X0,X1]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(not(X1),not(X0))))),
% 3.79/0.78 inference(resolution,[status(thm)],[f8544,f1980])).
% 3.79/0.78 fof(f15017,plain,(
% 3.79/0.78 ![X0,X1]: (is_a_theorem(implies(not(not(implies(implies(X0,X0),X1))),X1))|~spl0_8)),
% 3.79/0.79 inference(resolution,[status(thm)],[f8302,f9649])).
% 3.79/0.79 fof(f17247,plain,(
% 3.79/0.79 ![X0,X1]: (is_a_theorem(implies(X0,not(implies(implies(X1,X1),not(X0)))))|~spl0_8)),
% 3.79/0.79 inference(resolution,[status(thm)],[f15017,f11202])).
% 3.79/0.79 fof(f17680,plain,(
% 3.79/0.79 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),not(not(X1))),X1))|~spl0_8)),
% 3.79/0.79 inference(resolution,[status(thm)],[f17247,f11202])).
% 3.79/0.79 fof(f17710,plain,(
% 3.79/0.79 ![X0]: (is_a_theorem(implies(not(not(X0)),X0))|~spl0_8)),
% 3.79/0.79 inference(resolution,[status(thm)],[f17680,f8244])).
% 3.79/0.79 fof(f17751,plain,(
% 3.79/0.79 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(not(not(X0)),X1)))|~spl0_8)),
% 3.79/0.79 inference(resolution,[status(thm)],[f17710,f14])).
% 3.79/0.79 fof(f24840,plain,(
% 3.79/0.79 $false|~spl0_8),
% 3.79/0.79 inference(backward_subsumption_resolution,[status(thm)],[f11,f17751])).
% 3.79/0.79 fof(f24841,plain,(
% 3.79/0.79 ~spl0_8),
% 3.79/0.79 inference(contradiction_clause,[status(thm)],[f24840])).
% 3.79/0.79 fof(f24842,plain,(
% 3.79/0.79 $false),
% 3.79/0.79 inference(sat_refutation,[status(thm)],[f149,f274,f24841])).
% 3.79/0.79 % SZS output end CNFRefutation for theBenchmark.p
% 3.79/0.81 % Elapsed time: 0.542649 seconds
% 3.79/0.81 % CPU time: 4.155590 seconds
% 3.79/0.81 % Memory used: 104.639 MB
%------------------------------------------------------------------------------