TSTP Solution File: LCL114-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL114-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:18:19 EDT 2023
% Result : Unsatisfiable 221.46s 28.30s
% Output : CNFRefutation 222.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL114-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 09:47:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 221.46/28.30 % Refutation found
% 221.46/28.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 221.46/28.30 % SZS output start CNFRefutation for theBenchmark
% 221.46/28.30 fof(f1,axiom,(
% 221.46/28.30 (![X,Y]: (( ~ is_a_theorem(implies(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 221.46/28.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 221.46/28.30 fof(f2,axiom,(
% 221.46/28.30 (![X,Y]: (is_a_theorem(implies(X,implies(Y,X))) ))),
% 221.46/28.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 221.46/28.30 fof(f3,axiom,(
% 221.46/28.30 (![X,Y,Z]: (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ))),
% 221.46/28.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 221.46/28.30 fof(f4,axiom,(
% 221.46/28.30 (![X,Y]: (is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))) ))),
% 221.46/28.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 221.46/28.30 fof(f5,axiom,(
% 221.46/28.30 (![X,Y]: (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ))),
% 221.46/28.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 221.46/28.30 fof(f6,negated_conjecture,(
% 221.46/28.30 ~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))) ),
% 221.46/28.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 221.46/28.30 fof(f7,plain,(
% 221.46/28.30 ![Y]: ((![X]: (~is_a_theorem(implies(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 221.46/28.30 inference(miniscoping,[status(esa)],[f1])).
% 221.46/28.30 fof(f8,plain,(
% 221.46/28.30 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 221.46/28.30 inference(cnf_transformation,[status(esa)],[f7])).
% 221.46/28.30 fof(f9,plain,(
% 221.46/28.30 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 221.46/28.30 inference(cnf_transformation,[status(esa)],[f2])).
% 221.46/28.30 fof(f10,plain,(
% 221.46/28.30 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 221.46/28.30 inference(cnf_transformation,[status(esa)],[f3])).
% 221.46/28.30 fof(f11,plain,(
% 221.46/28.30 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))))),
% 221.46/28.30 inference(cnf_transformation,[status(esa)],[f4])).
% 221.46/28.30 fof(f12,plain,(
% 221.46/28.30 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))))),
% 221.46/28.30 inference(cnf_transformation,[status(esa)],[f5])).
% 221.46/28.30 fof(f13,plain,(
% 221.46/28.30 ~is_a_theorem(implies(implies(a,b),implies(not(b),not(a))))),
% 221.46/28.30 inference(cnf_transformation,[status(esa)],[f6])).
% 221.46/28.30 fof(f14,plain,(
% 221.46/28.30 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0)))),
% 221.46/28.30 inference(resolution,[status(thm)],[f8,f9])).
% 221.46/28.30 fof(f15,plain,(
% 221.46/28.30 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))))),
% 221.46/28.30 inference(resolution,[status(thm)],[f14,f9])).
% 221.46/28.30 fof(f16,plain,(
% 221.46/28.30 spl0_0 <=> ~is_a_theorem(X0)),
% 221.46/28.30 introduced(split_symbol_definition)).
% 221.46/28.30 fof(f17,plain,(
% 221.46/28.30 ![X0]: (~is_a_theorem(X0)|~spl0_0)),
% 221.46/28.30 inference(component_clause,[status(thm)],[f16])).
% 221.46/28.30 fof(f25,plain,(
% 221.46/28.30 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 221.46/28.30 inference(resolution,[status(thm)],[f10,f8])).
% 221.46/28.30 fof(f26,plain,(
% 221.46/28.30 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))))),
% 221.46/28.30 inference(resolution,[status(thm)],[f10,f14])).
% 221.46/28.30 fof(f34,plain,(
% 221.46/28.30 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(not(X1),not(X2)),implies(X2,X1)))))),
% 221.46/28.30 inference(resolution,[status(thm)],[f12,f14])).
% 221.46/28.30 fof(f35,plain,(
% 221.46/28.30 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X1))|is_a_theorem(implies(implies(X1,X0),X0)))),
% 221.46/28.30 inference(resolution,[status(thm)],[f11,f8])).
% 221.46/28.30 fof(f36,plain,(
% 221.46/28.30 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))))),
% 221.46/28.30 inference(resolution,[status(thm)],[f11,f14])).
% 221.46/28.30 fof(f37,plain,(
% 221.46/28.30 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 221.46/28.30 inference(resolution,[status(thm)],[f25,f8])).
% 221.46/28.30 fof(f45,plain,(
% 221.46/28.30 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(X0))),
% 221.46/28.30 inference(resolution,[status(thm)],[f35,f8])).
% 221.46/28.30 fof(f48,plain,(
% 221.46/28.30 ![X0]: (~is_a_theorem(implies(implies(a,b),X0))|~is_a_theorem(implies(X0,implies(not(b),not(a)))))),
% 221.46/28.30 inference(resolution,[status(thm)],[f37,f13])).
% 221.46/28.30 fof(f50,plain,(
% 221.46/28.30 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X3,implies(X0,X2))))),
% 221.46/28.30 inference(resolution,[status(thm)],[f37,f14])).
% 221.97/28.31 fof(f54,plain,(
% 221.97/28.31 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))|is_a_theorem(X2))),
% 221.97/28.31 inference(resolution,[status(thm)],[f45,f15])).
% 221.97/28.31 fof(f55,plain,(
% 221.97/28.31 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~is_a_theorem(implies(implies(X1,X0),X2))|~is_a_theorem(implies(X2,X0)))),
% 221.97/28.31 inference(resolution,[status(thm)],[f45,f37])).
% 221.97/28.31 fof(f56,plain,(
% 221.97/28.31 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))))),
% 221.97/28.31 inference(resolution,[status(thm)],[f54,f10])).
% 221.97/28.31 fof(f63,plain,(
% 221.97/28.31 ![X0,X1,X2,X3]: (is_a_theorem(X0)|~is_a_theorem(implies(implies(X1,implies(X2,X1)),X3))|~is_a_theorem(implies(X3,X0)))),
% 221.97/28.31 inference(resolution,[status(thm)],[f54,f37])).
% 221.97/28.31 fof(f65,plain,(
% 221.97/28.31 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),X3))|is_a_theorem(X3))),
% 221.97/28.31 inference(resolution,[status(thm)],[f26,f45])).
% 221.97/28.31 fof(f66,plain,(
% 221.97/28.31 spl0_4 <=> is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))),
% 221.97/28.31 introduced(split_symbol_definition)).
% 221.97/28.31 fof(f67,plain,(
% 221.97/28.31 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))|~spl0_4)),
% 221.97/28.31 inference(component_clause,[status(thm)],[f66])).
% 221.97/28.31 fof(f69,plain,(
% 221.97/28.31 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))))),
% 221.97/28.31 inference(resolution,[status(thm)],[f26,f8])).
% 221.97/28.31 fof(f70,plain,(
% 221.97/28.31 spl0_0|spl0_4),
% 221.97/28.31 inference(split_clause,[status(thm)],[f69,f16,f66])).
% 221.97/28.31 fof(f73,plain,(
% 221.97/28.31 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(not(X0),not(X1)),implies(X1,X0)),X2))|is_a_theorem(X2))),
% 221.97/28.31 inference(resolution,[status(thm)],[f34,f45])).
% 221.97/28.31 fof(f74,plain,(
% 221.97/28.31 spl0_5 <=> is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1)))),
% 221.97/28.31 introduced(split_symbol_definition)).
% 221.97/28.31 fof(f75,plain,(
% 221.97/28.31 ![X0,X1]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))|~spl0_5)),
% 221.97/28.31 inference(component_clause,[status(thm)],[f74])).
% 221.97/28.31 fof(f77,plain,(
% 221.97/28.31 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1))))),
% 221.97/28.31 inference(resolution,[status(thm)],[f34,f8])).
% 221.97/28.31 fof(f78,plain,(
% 221.97/28.31 spl0_0|spl0_5),
% 221.97/28.31 inference(split_clause,[status(thm)],[f77,f16,f74])).
% 221.97/28.31 fof(f80,plain,(
% 221.97/28.31 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))))),
% 221.97/28.31 inference(resolution,[status(thm)],[f56,f54])).
% 221.97/28.31 fof(f81,plain,(
% 221.97/28.31 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2)))),
% 221.97/28.31 inference(resolution,[status(thm)],[f56,f8])).
% 221.97/28.31 fof(f84,plain,(
% 221.97/28.31 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X0))))),
% 221.97/28.31 inference(resolution,[status(thm)],[f80,f8])).
% 221.97/28.31 fof(f88,plain,(
% 221.97/28.31 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(implies(implies(X1,X0),X2))|is_a_theorem(X2))),
% 221.97/28.31 inference(resolution,[status(thm)],[f84,f45])).
% 221.97/28.31 fof(f101,plain,(
% 221.97/28.31 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X0,X1),X1))))),
% 221.97/28.31 inference(resolution,[status(thm)],[f81,f11])).
% 221.97/28.31 fof(f103,plain,(
% 221.97/28.31 ![X0,X1]: (is_a_theorem(implies(not(X0),implies(X0,X1))))),
% 221.97/28.31 inference(resolution,[status(thm)],[f81,f12])).
% 221.97/28.31 fof(f118,plain,(
% 221.97/28.31 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(not(X1),implies(X1,X2)))))),
% 221.97/28.31 inference(resolution,[status(thm)],[f103,f14])).
% 221.97/28.31 fof(f121,plain,(
% 221.97/28.31 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),X1)))),
% 221.97/28.31 inference(resolution,[status(thm)],[f101,f8])).
% 221.97/28.31 fof(f130,plain,(
% 221.97/28.31 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(implies(X0,X2),X2))))),
% 221.97/28.31 inference(resolution,[status(thm)],[f121,f14])).
% 221.97/28.31 fof(f133,plain,(
% 221.97/28.31 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),implies(X0,X1)),X2))|is_a_theorem(X2))),
% 221.97/28.31 inference(resolution,[status(thm)],[f118,f45])).
% 221.97/28.31 fof(f152,plain,(
% 221.97/28.31 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),implies(X2,X1))))),
% 221.97/28.31 inference(resolution,[status(thm)],[f88,f10])).
% 221.97/28.31 fof(f198,plain,(
% 221.97/28.31 ![X0,X1,X2]: (~is_a_theorem(implies(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0)),X2))|is_a_theorem(X2))),
% 221.97/28.31 inference(resolution,[status(thm)],[f36,f45])).
% 221.97/28.31 fof(f224,plain,(
% 221.97/28.31 $false|~spl0_0),
% 221.97/28.31 inference(backward_subsumption_resolution,[status(thm)],[f103,f17])).
% 221.97/28.31 fof(f225,plain,(
% 221.97/28.31 ~spl0_0),
% 221.97/28.31 inference(contradiction_clause,[status(thm)],[f224])).
% 221.97/28.31 fof(f259,plain,(
% 221.97/28.31 ~is_a_theorem(implies(implies(a,b),implies(not(not(a)),not(not(b)))))|~spl0_5),
% 221.97/28.31 inference(resolution,[status(thm)],[f48,f75])).
% 221.97/28.31 fof(f819,plain,(
% 221.97/28.31 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),implies(X0,X1)),X2),X2)))),
% 221.97/28.31 inference(resolution,[status(thm)],[f133,f101])).
% 221.97/28.31 fof(f2132,plain,(
% 221.97/28.31 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(implies(X2,X3),X3),implies(implies(X3,X2),X2)),X0)))),
% 221.97/28.31 inference(resolution,[status(thm)],[f55,f36])).
% 221.97/28.31 fof(f2136,plain,(
% 221.97/28.31 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~is_a_theorem(implies(implies(implies(not(X2),not(X3)),implies(X3,X2)),X0)))),
% 221.97/28.31 inference(resolution,[status(thm)],[f55,f34])).
% 221.97/28.31 fof(f2164,plain,(
% 221.97/28.31 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))))),
% 221.97/28.31 inference(resolution,[status(thm)],[f65,f819])).
% 221.97/28.31 fof(f2170,plain,(
% 221.97/28.31 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)))|~spl0_4)),
% 221.97/28.31 inference(resolution,[status(thm)],[f65,f67])).
% 221.97/28.31 fof(f2316,plain,(
% 221.97/28.31 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2)))|~spl0_4)),
% 221.97/28.31 inference(resolution,[status(thm)],[f73,f67])).
% 221.97/28.31 fof(f2318,plain,(
% 221.97/28.31 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(not(X2),not(X1))))),
% 221.97/28.31 inference(resolution,[status(thm)],[f73,f152])).
% 221.97/28.31 fof(f2624,plain,(
% 221.97/28.31 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3))|~spl0_4)),
% 221.97/28.31 inference(resolution,[status(thm)],[f2170,f8])).
% 221.97/28.31 fof(f2626,plain,(
% 221.97/28.31 ![X0,X1,X2]: (is_a_theorem(implies(implies(not(X0),not(X1)),implies(implies(X0,X2),implies(X1,X2))))|~spl0_4)),
% 221.97/28.31 inference(resolution,[status(thm)],[f2316,f65])).
% 221.97/28.31 fof(f2839,plain,(
% 221.97/28.31 ![X0,X1,X2]: (is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X0,X2))|~is_a_theorem(implies(X2,X1)))),
% 221.97/28.31 inference(resolution,[status(thm)],[f198,f50])).
% 221.97/28.31 fof(f3130,plain,(
% 221.97/28.31 spl0_131 <=> ~is_a_theorem(implies(X0,X1))),
% 221.97/28.31 introduced(split_symbol_definition)).
% 221.97/28.31 fof(f3131,plain,(
% 221.97/28.31 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~spl0_131)),
% 221.97/28.31 inference(component_clause,[status(thm)],[f3130])).
% 221.97/28.31 fof(f4203,plain,(
% 221.97/28.31 ![X0,X1,X2]: (is_a_theorem(X0)|~is_a_theorem(implies(implies(implies(X1,X2),X2),X0))|~is_a_theorem(X1))),
% 221.97/28.31 inference(resolution,[status(thm)],[f63,f130])).
% 221.97/28.31 fof(f4913,plain,(
% 221.97/28.31 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(not(X0)),implies(X1,X0)),X2))|is_a_theorem(X2))),
% 221.97/28.31 inference(resolution,[status(thm)],[f2136,f2164])).
% 221.97/28.31 fof(f6251,plain,(
% 221.97/28.31 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),X1))|~is_a_theorem(implies(implies(X1,X0),X0)))),
% 221.97/28.31 inference(resolution,[status(thm)],[f198,f121])).
% 221.97/28.31 fof(f6754,plain,(
% 221.97/28.31 ![X0]: (~is_a_theorem(implies(implies(a,b),X0))|~is_a_theorem(implies(X0,implies(not(not(a)),not(not(b)))))|~spl0_5)),
% 221.97/28.31 inference(resolution,[status(thm)],[f2839,f259])).
% 221.97/28.31 fof(f8578,plain,(
% 221.97/28.31 spl0_221 <=> is_a_theorem(implies(not(not(X1)),X1))),
% 221.97/28.31 introduced(split_symbol_definition)).
% 221.97/28.31 fof(f8579,plain,(
% 221.97/28.31 ![X0]: (is_a_theorem(implies(not(not(X0)),X0))|~spl0_221)),
% 221.97/28.31 inference(component_clause,[status(thm)],[f8578])).
% 221.97/28.31 fof(f9682,plain,(
% 221.97/28.31 $false|~spl0_131),
% 221.97/28.31 inference(backward_subsumption_resolution,[status(thm)],[f819,f3131])).
% 221.97/28.31 fof(f9683,plain,(
% 221.97/28.31 ~spl0_131),
% 221.97/28.31 inference(contradiction_clause,[status(thm)],[f9682])).
% 221.97/28.31 fof(f20646,plain,(
% 221.97/28.31 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,not(not(X1)))))|~spl0_221)),
% 221.97/28.31 inference(resolution,[status(thm)],[f2318,f8579])).
% 221.97/28.31 fof(f20694,plain,(
% 221.97/28.31 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(not(X0)),implies(X1,X0)),X2),X2)))),
% 221.97/28.31 inference(resolution,[status(thm)],[f4913,f101])).
% 221.97/28.31 fof(f21098,plain,(
% 221.97/28.31 ![X0,X1]: (~is_a_theorem(implies(implies(X0,not(not(X0))),X1))|is_a_theorem(X1)|~spl0_221)),
% 221.97/28.31 inference(resolution,[status(thm)],[f20646,f2132])).
% 221.97/28.31 fof(f21141,plain,(
% 221.97/28.31 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,not(not(X0))),X1),X1))|~spl0_221)),
% 222.34/28.42 inference(resolution,[status(thm)],[f20646,f6251])).
% 222.34/28.42 fof(f22171,plain,(
% 222.34/28.42 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(not(X1)),X2))))),
% 222.34/28.42 inference(resolution,[status(thm)],[f20694,f65])).
% 222.34/28.42 fof(f22640,plain,(
% 222.34/28.42 ![X0,X1]: (is_a_theorem(implies(not(not(X0)),X0))|~is_a_theorem(X1))),
% 222.34/28.42 inference(resolution,[status(thm)],[f22171,f4203])).
% 222.34/28.42 fof(f22641,plain,(
% 222.34/28.42 spl0_221|spl0_0),
% 222.34/28.42 inference(split_clause,[status(thm)],[f22640,f8578,f16])).
% 222.34/28.42 fof(f35299,plain,(
% 222.34/28.42 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(not(not(X0)),X1)))|~spl0_221|~spl0_4)),
% 222.34/28.42 inference(resolution,[status(thm)],[f21098,f2626])).
% 222.34/28.42 fof(f37320,plain,(
% 222.34/28.42 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(X0,not(not(X1)))))|~spl0_221|~spl0_4)),
% 222.34/28.42 inference(resolution,[status(thm)],[f21141,f2624])).
% 222.34/28.42 fof(f50292,plain,(
% 222.34/28.42 ~is_a_theorem(implies(implies(a,b),implies(not(not(a)),b)))|~spl0_221|~spl0_4|~spl0_5),
% 222.34/28.42 inference(resolution,[status(thm)],[f37320,f6754])).
% 222.34/28.42 fof(f50293,plain,(
% 222.34/28.42 $false|~spl0_221|~spl0_4|~spl0_5),
% 222.34/28.42 inference(forward_subsumption_resolution,[status(thm)],[f50292,f35299])).
% 222.34/28.42 fof(f50294,plain,(
% 222.34/28.42 ~spl0_221|~spl0_4|~spl0_5),
% 222.34/28.42 inference(contradiction_clause,[status(thm)],[f50293])).
% 222.34/28.42 fof(f50295,plain,(
% 222.34/28.42 $false),
% 222.34/28.42 inference(sat_refutation,[status(thm)],[f70,f78,f225,f9683,f22641,f50294])).
% 222.34/28.42 % SZS output end CNFRefutation for theBenchmark.p
% 224.13/28.64 % Elapsed time: 28.253307 seconds
% 224.13/28.64 % CPU time: 223.526853 seconds
% 224.13/28.64 % Memory used: 1.291 GB
%------------------------------------------------------------------------------