TSTP Solution File: LCL034-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL034-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:26:11 EDT 2024
% Result : Unsatisfiable 11.67s 1.88s
% Output : CNFRefutation 11.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL034-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 20:21:13 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 11.67/1.88 % Refutation found
% 11.67/1.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.67/1.88 % SZS output start CNFRefutation for theBenchmark
% 11.67/1.88 fof(f1,axiom,(
% 11.67/1.88 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 11.67/1.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.67/1.88 fof(f2,axiom,(
% 11.67/1.88 (![X,Y,Z,U,V]: (is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),V),implies(implies(V,X),implies(Z,X)))) ))),
% 11.67/1.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.67/1.88 fof(f3,negated_conjecture,(
% 11.67/1.88 ~ is_a_theorem(implies(implies(implies(a,b),a),a)) ),
% 11.67/1.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.67/1.88 fof(f4,plain,(
% 11.67/1.88 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 11.67/1.88 inference(miniscoping,[status(esa)],[f1])).
% 11.67/1.88 fof(f5,plain,(
% 11.67/1.88 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 11.67/1.88 inference(cnf_transformation,[status(esa)],[f4])).
% 11.67/1.88 fof(f6,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))))),
% 11.67/1.88 inference(cnf_transformation,[status(esa)],[f2])).
% 11.67/1.88 fof(f7,plain,(
% 11.67/1.88 ~is_a_theorem(implies(implies(implies(a,b),a),a))),
% 11.67/1.88 inference(cnf_transformation,[status(esa)],[f3])).
% 11.67/1.88 fof(f8,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4))|is_a_theorem(implies(implies(X4,X0),implies(X2,X0))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f6,f5])).
% 11.67/1.88 fof(f9,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f8,f6])).
% 11.67/1.88 fof(f10,plain,(
% 11.67/1.88 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f9,f8])).
% 11.67/1.88 fof(f11,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))|is_a_theorem(implies(X4,implies(X1,X3))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f9,f5])).
% 11.67/1.88 fof(f12,plain,(
% 11.67/1.88 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(falsehood,X2))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f10,f8])).
% 11.67/1.88 fof(f13,plain,(
% 11.67/1.88 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(falsehood,X1)),X2))|is_a_theorem(implies(X3,X2)))),
% 11.67/1.88 inference(resolution,[status(thm)],[f10,f5])).
% 11.67/1.88 fof(f14,plain,(
% 11.67/1.88 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f12,f8])).
% 11.67/1.88 fof(f15,plain,(
% 11.67/1.88 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(falsehood,X2)))),
% 11.67/1.88 inference(resolution,[status(thm)],[f12,f5])).
% 11.67/1.88 fof(f17,plain,(
% 11.67/1.88 ![X0,X1]: (is_a_theorem(implies(falsehood,implies(X0,X1))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f15,f14])).
% 11.67/1.88 fof(f31,plain,(
% 11.67/1.88 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(falsehood,X1),X2),implies(X3,X2)))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f13,f6])).
% 11.67/1.88 fof(f35,plain,(
% 11.67/1.88 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f11,f14])).
% 11.67/1.88 fof(f44,plain,(
% 11.67/1.88 spl0_2 <=> ~is_a_theorem(X0)),
% 11.67/1.88 introduced(split_symbol_definition)).
% 11.67/1.88 fof(f45,plain,(
% 11.67/1.88 ![X0]: (~is_a_theorem(X0)|~spl0_2)),
% 11.67/1.88 inference(component_clause,[status(thm)],[f44])).
% 11.67/1.88 fof(f53,plain,(
% 11.67/1.88 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f35,f8])).
% 11.67/1.88 fof(f57,plain,(
% 11.67/1.88 spl0_4 <=> is_a_theorem(implies(X1,implies(X2,X1)))),
% 11.67/1.88 introduced(split_symbol_definition)).
% 11.67/1.88 fof(f58,plain,(
% 11.67/1.88 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_4)),
% 11.67/1.88 inference(component_clause,[status(thm)],[f57])).
% 11.67/1.88 fof(f60,plain,(
% 11.67/1.88 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f35,f5])).
% 11.67/1.88 fof(f61,plain,(
% 11.67/1.88 spl0_2|spl0_4),
% 11.67/1.88 inference(split_clause,[status(thm)],[f60,f44,f57])).
% 11.67/1.88 fof(f75,plain,(
% 11.67/1.88 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(implies(X3,X2)))),
% 11.67/1.88 inference(resolution,[status(thm)],[f53,f5])).
% 11.67/1.88 fof(f77,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(X0,implies(implies(implies(X1,implies(implies(implies(X2,X3),implies(X4,falsehood)),X5)),X2),implies(X4,X2)))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f75,f6])).
% 11.67/1.88 fof(f118,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(implies(implies(falsehood,X0),X1),implies(X2,X1)),X3),implies(X4,X3))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f31,f8])).
% 11.67/1.88 fof(f155,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(implies(implies(falsehood,X0),X1),implies(X2,X1)),X3))|is_a_theorem(implies(X4,X3)))),
% 11.67/1.88 inference(resolution,[status(thm)],[f118,f5])).
% 11.67/1.88 fof(f168,plain,(
% 11.67/1.88 $false|~spl0_2),
% 11.67/1.88 inference(backward_subsumption_resolution,[status(thm)],[f17,f45])).
% 11.67/1.88 fof(f169,plain,(
% 11.67/1.88 ~spl0_2),
% 11.67/1.88 inference(contradiction_clause,[status(thm)],[f168])).
% 11.67/1.88 fof(f193,plain,(
% 11.67/1.88 spl0_15 <=> is_a_theorem(X0)),
% 11.67/1.88 introduced(split_symbol_definition)).
% 11.67/1.88 fof(f194,plain,(
% 11.67/1.88 ![X0]: (is_a_theorem(X0)|~spl0_15)),
% 11.67/1.88 inference(component_clause,[status(thm)],[f193])).
% 11.67/1.88 fof(f330,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1),implies(X3,X1)))|~spl0_4)),
% 11.67/1.88 inference(resolution,[status(thm)],[f8,f58])).
% 11.67/1.88 fof(f519,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(implies(implies(implies(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1),implies(X3,X1)),X5),implies(X6,X5))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f77,f8])).
% 11.67/1.88 fof(f586,plain,(
% 11.67/1.88 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),implies(X0,falsehood)),X2)))|~spl0_4)),
% 11.67/1.88 inference(resolution,[status(thm)],[f330,f8])).
% 11.67/1.88 fof(f739,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1)))))|~spl0_4)),
% 11.67/1.88 inference(resolution,[status(thm)],[f586,f75])).
% 11.67/1.88 fof(f774,plain,(
% 11.67/1.88 spl0_34 <=> is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1))))),
% 11.67/1.88 introduced(split_symbol_definition)).
% 11.67/1.88 fof(f775,plain,(
% 11.67/1.88 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,falsehood)),implies(X3,implies(X2,X0))))|~spl0_34)),
% 11.67/1.88 inference(component_clause,[status(thm)],[f774])).
% 11.67/1.88 fof(f777,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1))))|~spl0_4)),
% 11.67/1.88 inference(resolution,[status(thm)],[f739,f5])).
% 11.67/1.88 fof(f778,plain,(
% 11.67/1.88 spl0_2|spl0_34|~spl0_4),
% 11.67/1.88 inference(split_clause,[status(thm)],[f777,f44,f774,f57])).
% 11.67/1.88 fof(f782,plain,(
% 11.67/1.88 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,falsehood)))|is_a_theorem(implies(X3,implies(X2,X0)))|~spl0_34)),
% 11.67/1.88 inference(resolution,[status(thm)],[f775,f5])).
% 11.67/1.88 fof(f834,plain,(
% 11.67/1.88 spl0_35 <=> is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1)))),
% 11.67/1.88 introduced(split_symbol_definition)).
% 11.67/1.88 fof(f835,plain,(
% 11.67/1.88 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,falsehood)),implies(X2,X0)))|~spl0_35)),
% 11.67/1.88 inference(component_clause,[status(thm)],[f834])).
% 11.67/1.88 fof(f841,plain,(
% 11.67/1.88 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1)))|~spl0_35)),
% 11.67/1.88 inference(resolution,[status(thm)],[f835,f8])).
% 11.67/1.88 fof(f842,plain,(
% 11.67/1.88 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,falsehood)))|is_a_theorem(implies(X2,X0))|~spl0_35)),
% 11.67/1.88 inference(resolution,[status(thm)],[f835,f5])).
% 11.67/1.88 fof(f844,plain,(
% 11.67/1.88 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))|~spl0_35)),
% 11.67/1.88 inference(resolution,[status(thm)],[f841,f8])).
% 11.67/1.88 fof(f849,plain,(
% 11.67/1.88 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(X0,falsehood),X1),X2),implies(X0,X2)))|~spl0_35)),
% 11.67/1.88 inference(resolution,[status(thm)],[f844,f8])).
% 11.67/1.88 fof(f853,plain,(
% 11.67/1.88 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2))|~spl0_35)),
% 11.67/1.88 inference(resolution,[status(thm)],[f844,f5])).
% 11.67/1.88 fof(f925,plain,(
% 11.67/1.88 ![X0,X1]: (is_a_theorem(implies(implies(X0,falsehood),implies(X0,X1)))|~spl0_35)),
% 11.67/1.88 inference(resolution,[status(thm)],[f853,f835])).
% 11.67/1.88 fof(f1065,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(implies(implies(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1),implies(X3,X1)),X5))|is_a_theorem(implies(X6,X5)))),
% 11.67/1.88 inference(resolution,[status(thm)],[f519,f5])).
% 11.67/1.88 fof(f1152,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(implies(implies(X2,X4),implies(X1,falsehood)),X3)))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f1065,f6])).
% 11.67/1.88 fof(f1197,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),implies(X0,falsehood)),X2)),X4),implies(X5,X4))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f1152,f8])).
% 11.67/1.88 fof(f1703,plain,(
% 11.67/1.88 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))|~spl0_35|~spl0_34)),
% 11.67/1.88 inference(resolution,[status(thm)],[f925,f782])).
% 11.67/1.88 fof(f1711,plain,(
% 11.67/1.88 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1)))|~spl0_35|~spl0_34)),
% 11.67/1.88 inference(resolution,[status(thm)],[f1703,f8])).
% 11.67/1.88 fof(f3659,plain,(
% 11.67/1.88 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,falsehood),X1)))|~spl0_35)),
% 11.67/1.88 inference(resolution,[status(thm)],[f849,f842])).
% 11.67/1.88 fof(f3662,plain,(
% 11.67/1.88 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(X0,falsehood),X1),X2))|is_a_theorem(implies(X0,X2))|~spl0_35)),
% 11.67/1.88 inference(resolution,[status(thm)],[f849,f5])).
% 11.67/1.88 fof(f3847,plain,(
% 11.67/1.88 $false|~spl0_15),
% 11.67/1.88 inference(backward_subsumption_resolution,[status(thm)],[f7,f194])).
% 11.67/1.88 fof(f3848,plain,(
% 11.67/1.88 ~spl0_15),
% 11.67/1.88 inference(contradiction_clause,[status(thm)],[f3847])).
% 11.67/1.88 fof(f8105,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(implies(X3,X4),implies(X2,falsehood)),implies(X2,X3)))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f1197,f8])).
% 11.67/1.88 fof(f9100,plain,(
% 11.67/1.88 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1)))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f8105,f155])).
% 11.67/1.88 fof(f9124,plain,(
% 11.67/1.88 ![X0,X1,X2,X3,X4]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(implies(implies(X3,X4),implies(X2,falsehood)),implies(X2,X3))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f8105,f5])).
% 11.67/1.88 fof(f9165,plain,(
% 11.67/1.88 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f9100,f5])).
% 11.67/1.88 fof(f9166,plain,(
% 11.67/1.88 spl0_2|spl0_35),
% 11.67/1.88 inference(split_clause,[status(thm)],[f9165,f44,f834])).
% 11.67/1.88 fof(f9757,plain,(
% 11.67/1.88 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),implies(X2,falsehood)),implies(X2,X0))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f9124,f118])).
% 11.67/1.88 fof(f10362,plain,(
% 11.67/1.88 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(implies(X0,falsehood),X1),falsehood),X2)))|~spl0_35)),
% 11.67/1.88 inference(resolution,[status(thm)],[f3662,f3659])).
% 11.67/1.88 fof(f16591,plain,(
% 11.67/1.88 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),falsehood),X2),falsehood),X0))|~spl0_35)),
% 11.67/1.88 inference(resolution,[status(thm)],[f10362,f842])).
% 11.67/1.88 fof(f18961,plain,(
% 11.67/1.88 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f9757,f8])).
% 11.67/1.88 fof(f18966,plain,(
% 11.67/1.88 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f18961,f8])).
% 11.67/1.88 fof(f18971,plain,(
% 11.67/1.88 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(X0,falsehood),X1),X2),implies(X0,X2))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f18966,f8])).
% 11.67/1.88 fof(f19060,plain,(
% 11.67/1.88 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))))),
% 11.67/1.88 inference(resolution,[status(thm)],[f18971,f8])).
% 11.67/1.88 fof(f27456,plain,(
% 11.67/1.88 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))))|~spl0_35)),
% 11.67/1.88 inference(resolution,[status(thm)],[f16591,f8])).
% 11.67/1.88 fof(f27552,plain,(
% 11.67/1.88 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X2,implies(X0,X1)))|~spl0_35)),
% 11.67/1.92 inference(resolution,[status(thm)],[f27456,f5])).
% 11.67/1.92 fof(f27615,plain,(
% 11.67/1.92 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2)))|~spl0_35|~spl0_34)),
% 11.67/1.92 inference(resolution,[status(thm)],[f27552,f1711])).
% 11.67/1.92 fof(f27616,plain,(
% 11.67/1.92 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1)))|~spl0_35)),
% 11.67/1.92 inference(resolution,[status(thm)],[f27552,f19060])).
% 11.67/1.92 fof(f27765,plain,(
% 11.67/1.92 spl0_207 <=> is_a_theorem(implies(implies(implies(X1,X1),X2),X2))),
% 11.67/1.92 introduced(split_symbol_definition)).
% 11.67/1.92 fof(f27766,plain,(
% 11.67/1.92 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1))|~spl0_207)),
% 11.67/1.92 inference(component_clause,[status(thm)],[f27765])).
% 11.67/1.92 fof(f27768,plain,(
% 11.67/1.92 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(implies(X1,X1),X2),X2))|~spl0_35|~spl0_34)),
% 11.67/1.92 inference(resolution,[status(thm)],[f27615,f5])).
% 11.67/1.92 fof(f27769,plain,(
% 11.67/1.92 spl0_2|spl0_207|~spl0_35|~spl0_34),
% 11.67/1.92 inference(split_clause,[status(thm)],[f27768,f44,f27765,f834,f774])).
% 11.67/1.92 fof(f27800,plain,(
% 11.67/1.92 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(X1)|~spl0_207)),
% 11.67/1.92 inference(resolution,[status(thm)],[f27766,f5])).
% 11.67/1.92 fof(f27963,plain,(
% 11.67/1.92 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X0),X0))|~spl0_35|~spl0_207)),
% 11.67/1.92 inference(resolution,[status(thm)],[f27616,f27800])).
% 11.67/1.92 fof(f27989,plain,(
% 11.67/1.92 $false|~spl0_35|~spl0_207),
% 11.67/1.92 inference(backward_subsumption_resolution,[status(thm)],[f7,f27963])).
% 11.67/1.92 fof(f27990,plain,(
% 11.67/1.92 ~spl0_35|~spl0_207),
% 11.67/1.92 inference(contradiction_clause,[status(thm)],[f27989])).
% 11.67/1.92 fof(f27991,plain,(
% 11.67/1.92 $false),
% 11.67/1.92 inference(sat_refutation,[status(thm)],[f61,f169,f778,f3848,f9166,f27769,f27990])).
% 11.67/1.92 % SZS output end CNFRefutation for theBenchmark.p
% 12.15/1.93 % Elapsed time: 1.559669 seconds
% 12.15/1.93 % CPU time: 12.079857 seconds
% 12.15/1.93 % Total memory used: 224.463 MB
% 12.15/1.93 % Net memory used: 209.475 MB
%------------------------------------------------------------------------------