TSTP Solution File: LCL018-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL018-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:26:10 EDT 2024
% Result : Unsatisfiable 228.28s 29.06s
% Output : CNFRefutation 229.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL018-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 20:43:32 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 228.28/29.06 % Refutation found
% 228.28/29.06 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 228.28/29.06 % SZS output start CNFRefutation for theBenchmark
% 228.28/29.06 fof(f1,axiom,(
% 228.28/29.06 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 228.28/29.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 228.28/29.06 fof(f2,axiom,(
% 228.28/29.06 (![X,Y,Z]: (is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),Y),equivalent(Z,X))) ))),
% 228.28/29.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 228.28/29.06 fof(f3,negated_conjecture,(
% 228.28/29.06 ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))) ),
% 228.28/29.06 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 228.28/29.06 fof(f4,plain,(
% 228.28/29.06 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 228.28/29.06 inference(miniscoping,[status(esa)],[f1])).
% 228.28/29.06 fof(f5,plain,(
% 228.28/29.06 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 228.28/29.06 inference(cnf_transformation,[status(esa)],[f4])).
% 228.28/29.06 fof(f6,plain,(
% 228.28/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X1),equivalent(X2,X0))))),
% 228.28/29.06 inference(cnf_transformation,[status(esa)],[f2])).
% 228.28/29.06 fof(f7,plain,(
% 228.28/29.06 ~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a)))),
% 228.28/29.06 inference(cnf_transformation,[status(esa)],[f3])).
% 228.28/29.06 fof(f8,plain,(
% 228.28/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X1))|is_a_theorem(equivalent(X2,X0)))),
% 228.28/29.06 inference(resolution,[status(thm)],[f6,f5])).
% 228.28/29.06 fof(f9,plain,(
% 228.28/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(equivalent(X2,X1),X0),X2)))))),
% 228.28/29.06 inference(resolution,[status(thm)],[f8,f6])).
% 228.28/29.06 fof(f10,plain,(
% 228.28/29.06 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X1),X0),X2))))),
% 228.28/29.06 inference(resolution,[status(thm)],[f9,f5])).
% 228.28/29.06 fof(f11,plain,(
% 228.28/29.06 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(equivalent(equivalent(equivalent(X2,X1),X0),X2)))),
% 228.28/29.06 inference(resolution,[status(thm)],[f10,f5])).
% 228.28/29.06 fof(f12,plain,(
% 228.28/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X2)|is_a_theorem(equivalent(X1,equivalent(X0,X2))))),
% 228.28/29.06 inference(resolution,[status(thm)],[f11,f8])).
% 228.28/29.06 fof(f13,plain,(
% 228.28/29.06 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X1),X0))|is_a_theorem(X2))),
% 228.28/29.06 inference(resolution,[status(thm)],[f11,f5])).
% 228.28/29.06 fof(f23,plain,(
% 228.28/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X2)|~is_a_theorem(X1)|is_a_theorem(equivalent(X0,X2)))),
% 228.28/29.06 inference(resolution,[status(thm)],[f12,f5])).
% 228.28/29.06 fof(f24,plain,(
% 228.28/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X2)|is_a_theorem(equivalent(X1,equivalent(X2,X0))))),
% 228.28/29.06 inference(resolution,[status(thm)],[f13,f6])).
% 228.28/29.06 fof(f28,plain,(
% 228.28/29.06 spl0_3 <=> ~is_a_theorem(X1)|~is_a_theorem(X1)),
% 228.28/29.06 introduced(split_symbol_definition)).
% 228.28/29.06 fof(f29,plain,(
% 228.28/29.06 ![X0]: (~is_a_theorem(X0)|~is_a_theorem(X0)|~spl0_3)),
% 228.28/29.06 inference(component_clause,[status(thm)],[f28])).
% 228.28/29.06 fof(f33,plain,(
% 228.28/29.06 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),X0))|~is_a_theorem(X2)|is_a_theorem(X1)|~is_a_theorem(X3))),
% 228.28/29.06 inference(resolution,[status(thm)],[f13,f10])).
% 228.28/29.06 fof(f34,plain,(
% 228.28/29.06 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),equivalent(X2,X3)),X1)))|~is_a_theorem(X3)|is_a_theorem(X2))),
% 228.28/29.06 inference(resolution,[status(thm)],[f13,f9])).
% 228.28/29.06 fof(f35,plain,(
% 228.28/29.06 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X2)|is_a_theorem(X3)|~is_a_theorem(equivalent(X0,equivalent(X3,X2)))|~is_a_theorem(X1))),
% 228.28/29.06 inference(resolution,[status(thm)],[f13,f12])).
% 228.28/29.06 fof(f44,plain,(
% 228.28/29.06 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3))|~is_a_theorem(X1)|~is_a_theorem(X3)|is_a_theorem(equivalent(X2,X0)))),
% 228.28/29.06 inference(resolution,[status(thm)],[f23,f8])).
% 228.28/29.06 fof(f58,plain,(
% 228.28/29.06 ![X0]: (~is_a_theorem(X0)|~spl0_3)),
% 228.28/29.06 inference(duplicate_literals_removal,[status(esa)],[f29])).
% 228.28/29.06 fof(f70,plain,(
% 228.28/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X2)|~is_a_theorem(X1)|is_a_theorem(equivalent(X2,X0)))),
% 228.38/29.06 inference(resolution,[status(thm)],[f24,f5])).
% 228.38/29.06 fof(f98,plain,(
% 228.38/29.06 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(X1)|~is_a_theorem(equivalent(X1,X0)))),
% 228.38/29.06 inference(resolution,[status(thm)],[f34,f10])).
% 228.38/29.06 fof(f103,plain,(
% 228.38/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X0)),X2)))),
% 228.38/29.06 inference(resolution,[status(thm)],[f98,f6])).
% 228.38/29.06 fof(f104,plain,(
% 228.38/29.06 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X0,X1),X2))|~is_a_theorem(X2)|~is_a_theorem(X1))),
% 228.38/29.06 inference(resolution,[status(thm)],[f98,f11])).
% 228.38/29.06 fof(f105,plain,(
% 228.38/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X0))|is_a_theorem(X1)|~is_a_theorem(X2))),
% 228.38/29.06 inference(resolution,[status(thm)],[f98,f10])).
% 228.38/29.06 fof(f106,plain,(
% 228.38/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),X2),X1)))|is_a_theorem(X2))),
% 228.38/29.06 inference(resolution,[status(thm)],[f98,f9])).
% 228.38/29.06 fof(f107,plain,(
% 228.38/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X0))),
% 228.38/29.06 inference(resolution,[status(thm)],[f98,f24])).
% 228.38/29.06 fof(f140,plain,(
% 228.38/29.06 spl0_17 <=> ~is_a_theorem(X0)|is_a_theorem(equivalent(X2,X3))|~is_a_theorem(equivalent(equivalent(X3,equivalent(X0,X2)),X4))|~is_a_theorem(X4)),
% 228.38/29.06 introduced(split_symbol_definition)).
% 228.38/29.06 fof(f141,plain,(
% 228.38/29.06 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(X2,equivalent(X0,X1)),X3))|~is_a_theorem(X3)|~spl0_17)),
% 228.38/29.06 inference(component_clause,[status(thm)],[f140])).
% 228.38/29.06 fof(f143,plain,(
% 228.38/29.06 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(equivalent(X2,X3))|~is_a_theorem(equivalent(equivalent(X3,equivalent(X0,X2)),X4))|~is_a_theorem(X1)|~is_a_theorem(X4))),
% 228.38/29.06 inference(resolution,[status(thm)],[f44,f23])).
% 228.38/29.06 fof(f144,plain,(
% 228.38/29.06 spl0_17|spl0_3),
% 228.38/29.06 inference(split_clause,[status(thm)],[f143,f140,f28])).
% 228.38/29.06 fof(f182,plain,(
% 228.38/29.06 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X0,X1),X1))|~is_a_theorem(X1))),
% 228.38/29.06 inference(factoring,[status(esa)],[f104])).
% 228.38/29.06 fof(f183,plain,(
% 228.38/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,equivalent(X1,X2)))|~is_a_theorem(X0)|~is_a_theorem(X2)|is_a_theorem(X1)|~is_a_theorem(X0))),
% 228.38/29.06 inference(resolution,[status(thm)],[f182,f33])).
% 228.38/29.06 fof(f184,plain,(
% 228.38/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,equivalent(X1,X2)))|~is_a_theorem(X0)|~is_a_theorem(X2)|is_a_theorem(X1))),
% 228.38/29.06 inference(duplicate_literals_removal,[status(esa)],[f183])).
% 228.38/29.06 fof(f192,plain,(
% 228.38/29.06 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|~is_a_theorem(X1)|~is_a_theorem(X2)|is_a_theorem(X3)|~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X3,X2)))|~is_a_theorem(X1))),
% 228.38/29.06 inference(resolution,[status(thm)],[f182,f35])).
% 228.38/29.06 fof(f193,plain,(
% 228.38/29.06 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|~is_a_theorem(X1)|~is_a_theorem(X2)|is_a_theorem(X3)|~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X3,X2))))),
% 228.38/29.06 inference(duplicate_literals_removal,[status(esa)],[f192])).
% 228.38/29.06 fof(f212,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(X0)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X2,equivalent(X1,X0))))),
% 228.38/29.06 inference(resolution,[status(thm)],[f105,f103])).
% 228.38/29.06 fof(f220,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(X0)|~is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X0),X2))|~is_a_theorem(X1))),
% 228.38/29.06 inference(resolution,[status(thm)],[f106,f12])).
% 228.38/29.06 fof(f221,plain,(
% 228.38/29.06 ![X0,X1,X2,X3]: (is_a_theorem(X0)|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X0),X1),X3))|~is_a_theorem(X2)|~is_a_theorem(X3))),
% 228.38/29.06 inference(resolution,[status(thm)],[f106,f70])).
% 228.38/29.06 fof(f261,plain,(
% 228.38/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X1))|~is_a_theorem(X0)|is_a_theorem(X2))),
% 228.38/29.06 inference(resolution,[status(thm)],[f184,f6])).
% 228.38/29.06 fof(f292,plain,(
% 228.38/29.06 ![X0,X1,X2,X3]: (is_a_theorem(X0)|~is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X1,X3)),X0)))|~is_a_theorem(equivalent(X3,X2)))),
% 228.38/29.06 inference(resolution,[status(thm)],[f212,f103])).
% 228.38/29.06 fof(f302,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X2)|~is_a_theorem(equivalent(X1,equivalent(X2,X0))))),
% 228.38/29.06 inference(resolution,[status(thm)],[f220,f103])).
% 228.38/29.06 fof(f303,plain,(
% 228.38/29.06 ![X0,X1,X2,X3]: (is_a_theorem(X0)|~is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(equivalent(X1,equivalent(X3,X2)),X0)))|~is_a_theorem(X3))),
% 228.38/29.06 inference(resolution,[status(thm)],[f220,f24])).
% 228.38/29.06 fof(f381,plain,(
% 228.38/29.06 $false|~spl0_3),
% 228.38/29.06 inference(backward_subsumption_resolution,[status(thm)],[f6,f58])).
% 228.38/29.06 fof(f382,plain,(
% 228.38/29.06 ~spl0_3),
% 228.38/29.06 inference(contradiction_clause,[status(thm)],[f381])).
% 228.38/29.06 fof(f391,plain,(
% 228.38/29.06 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X3)),X2)))|is_a_theorem(equivalent(X3,X1))|~is_a_theorem(X0))),
% 228.38/29.06 inference(resolution,[status(thm)],[f107,f6])).
% 228.38/29.06 fof(f415,plain,(
% 228.38/29.06 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),X2),X1)),equivalent(X3,X2)),X3)))),
% 228.38/29.06 inference(resolution,[status(thm)],[f9,f103])).
% 228.38/29.06 fof(f419,plain,(
% 228.38/29.06 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),equivalent(X2,equivalent(X3,equivalent(equivalent(equivalent(X4,X3),X2),X4)))),X1))))),
% 228.38/29.06 inference(resolution,[status(thm)],[f9,f10])).
% 228.38/29.06 fof(f507,plain,(
% 228.38/29.06 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X3,equivalent(equivalent(equivalent(X4,X3),equivalent(X2,equivalent(X0,X1))),X4)))|~spl0_17)),
% 228.38/29.06 inference(resolution,[status(thm)],[f141,f9])).
% 228.38/29.06 fof(f519,plain,(
% 228.38/29.06 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X0),X2),X1),X2))|~spl0_17)),
% 228.38/29.06 inference(resolution,[status(thm)],[f507,f419])).
% 228.38/29.06 fof(f523,plain,(
% 228.38/29.06 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(equivalent(equivalent(X3,X2),X1),X3)))),X4),X0),X4))|~spl0_17)),
% 228.38/29.06 inference(resolution,[status(thm)],[f519,f9])).
% 228.38/29.06 fof(f703,plain,(
% 228.38/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,equivalent(X1,X2)))|~is_a_theorem(X1)|~is_a_theorem(X0)|is_a_theorem(X2))),
% 228.38/29.06 inference(resolution,[status(thm)],[f193,f6])).
% 228.38/29.06 fof(f709,plain,(
% 228.38/29.06 ![X0,X1,X2]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X0)),X2))|is_a_theorem(X1))),
% 228.38/29.06 inference(resolution,[status(thm)],[f703,f6])).
% 228.38/29.06 fof(f1033,plain,(
% 228.38/29.06 ![X0,X1,X2,X3]: (is_a_theorem(X0)|~is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(equivalent(equivalent(X3,X2),X1),X3)))))|~spl0_17)),
% 228.38/29.06 inference(resolution,[status(thm)],[f523,f220])).
% 228.38/29.06 fof(f1107,plain,(
% 228.38/29.06 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),X2),X1)),equivalent(X3,X2)),X3))|~spl0_17)),
% 228.38/29.06 inference(resolution,[status(thm)],[f1033,f6])).
% 228.38/29.06 fof(f1114,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X0))|~is_a_theorem(equivalent(X1,X2))|~spl0_17)),
% 228.38/29.06 inference(resolution,[status(thm)],[f1107,f105])).
% 228.38/29.06 fof(f1479,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X2)|~is_a_theorem(equivalent(X1,equivalent(X0,X2))))),
% 228.38/29.06 inference(resolution,[status(thm)],[f221,f6])).
% 228.38/29.06 fof(f1495,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(equivalent(equivalent(X2,X0),X1),X2)))),
% 228.38/29.06 inference(resolution,[status(thm)],[f1479,f9])).
% 228.38/29.06 fof(f1499,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X0),equivalent(X1,X2)))|~spl0_17)),
% 228.38/29.06 inference(resolution,[status(thm)],[f1495,f1107])).
% 228.38/29.06 fof(f1826,plain,(
% 228.38/29.06 ![X0]: (is_a_theorem(equivalent(X0,X0))|~spl0_17)),
% 228.38/29.06 inference(resolution,[status(thm)],[f1499,f1495])).
% 228.38/29.06 fof(f1964,plain,(
% 228.38/29.06 ![X0,X1]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X0))|~spl0_17)),
% 228.38/29.06 inference(resolution,[status(thm)],[f1826,f1114])).
% 228.38/29.06 fof(f2168,plain,(
% 228.38/29.06 ![X0,X1]: (~is_a_theorem(equivalent(equivalent(X0,X1),X1))|is_a_theorem(X0)|~spl0_17)),
% 228.38/29.06 inference(resolution,[status(thm)],[f1964,f5])).
% 228.38/29.06 fof(f2750,plain,(
% 228.38/29.06 ![X0,X1]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X1)))|~spl0_17)),
% 228.38/29.06 inference(resolution,[status(thm)],[f2168,f6])).
% 228.38/29.06 fof(f3674,plain,(
% 228.38/29.06 ![X0,X1]: (is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X1,X0))|~spl0_17)),
% 228.38/29.06 inference(resolution,[status(thm)],[f391,f2750])).
% 228.38/29.06 fof(f4756,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X0),equivalent(X1,X2))))),
% 228.38/29.06 inference(resolution,[status(thm)],[f415,f1495])).
% 228.38/29.06 fof(f4860,plain,(
% 228.38/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X0),X1))|is_a_theorem(X2))),
% 228.38/29.06 inference(resolution,[status(thm)],[f4756,f261])).
% 228.38/29.06 fof(f4967,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X1)),X2),X0)))),
% 228.38/29.06 inference(resolution,[status(thm)],[f4860,f415])).
% 228.38/29.06 fof(f5173,plain,(
% 228.38/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X1)),X2))|is_a_theorem(X0))),
% 228.38/29.06 inference(resolution,[status(thm)],[f4967,f5])).
% 228.38/29.06 fof(f5406,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(equivalent(X2,X0),X2)),X1))))),
% 228.38/29.06 inference(resolution,[status(thm)],[f5173,f4967])).
% 228.38/29.06 fof(f6240,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X0,equivalent(equivalent(X2,X1),X2))))),
% 228.38/29.06 inference(resolution,[status(thm)],[f5406,f302])).
% 228.38/29.06 fof(f6650,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X1),X0),X2)))),
% 228.38/29.06 inference(resolution,[status(thm)],[f6240,f4756])).
% 228.38/29.06 fof(f6653,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X0,X2))),X1),X2)))),
% 228.38/29.06 inference(resolution,[status(thm)],[f6240,f6])).
% 228.38/29.06 fof(f6913,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),equivalent(X2,X1)),X2))))),
% 228.38/29.06 inference(resolution,[status(thm)],[f6650,f8])).
% 228.38/29.06 fof(f6914,plain,(
% 228.38/29.06 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(equivalent(X1,X0),equivalent(X2,X1)),X2)))),
% 228.38/29.06 inference(resolution,[status(thm)],[f6650,f709])).
% 228.38/29.06 fof(f7033,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),X1),equivalent(X0,X2)))))),
% 228.38/29.06 inference(resolution,[status(thm)],[f6653,f5173])).
% 228.38/29.06 fof(f9110,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(equivalent(X2,X0),X1))|~is_a_theorem(X2))),
% 228.38/29.06 inference(resolution,[status(thm)],[f7033,f303])).
% 228.38/29.06 fof(f9111,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X2,equivalent(equivalent(X0,X2),X1))))),
% 228.38/29.06 inference(resolution,[status(thm)],[f7033,f292])).
% 228.38/29.06 fof(f10772,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(X1,X2)))|~is_a_theorem(equivalent(X2,equivalent(X0,X1))))),
% 228.38/29.06 inference(resolution,[status(thm)],[f9110,f6])).
% 228.38/29.06 fof(f10906,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(X0,X2)),X2),X1))))),
% 228.38/29.06 inference(resolution,[status(thm)],[f9,f9111])).
% 228.38/29.06 fof(f14295,plain,(
% 228.38/29.06 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X0)),equivalent(X2,X1))))),
% 228.38/29.06 inference(resolution,[status(thm)],[f10772,f6913])).
% 228.38/29.06 fof(f32779,plain,(
% 228.38/29.06 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X0,X2))|is_a_theorem(equivalent(X2,X1)))),
% 228.38/29.06 inference(resolution,[status(thm)],[f13,f14295])).
% 228.38/29.06 fof(f83623,plain,(
% 228.38/29.06 ![X0]: (~is_a_theorem(equivalent(X0,equivalent(b,a)))|~is_a_theorem(equivalent(X0,equivalent(equivalent(a,equivalent(b,c)),c))))),
% 228.38/29.06 inference(resolution,[status(thm)],[f32779,f7])).
% 228.38/29.06 fof(f85467,plain,(
% 228.38/29.06 ![X0]: (~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(X0,b)),X0),equivalent(equivalent(a,equivalent(b,c)),c))))),
% 228.38/29.06 inference(resolution,[status(thm)],[f83623,f6])).
% 228.38/29.06 fof(f87769,plain,(
% 228.38/29.06 ~is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),a),b))),
% 228.38/29.06 inference(resolution,[status(thm)],[f85467,f6914])).
% 228.38/29.06 fof(f87830,plain,(
% 228.38/29.06 ~is_a_theorem(equivalent(b,equivalent(equivalent(equivalent(a,equivalent(b,c)),c),a)))|~spl0_17),
% 228.38/29.06 inference(resolution,[status(thm)],[f87769,f3674])).
% 228.38/29.06 fof(f87831,plain,(
% 228.38/29.06 $false|~spl0_17),
% 228.38/29.06 inference(forward_subsumption_resolution,[status(thm)],[f87830,f10906])).
% 228.38/29.06 fof(f87832,plain,(
% 228.38/29.06 ~spl0_17),
% 228.38/29.06 inference(contradiction_clause,[status(thm)],[f87831])).
% 229.20/29.16 fof(f87833,plain,(
% 229.20/29.16 $false),
% 229.20/29.16 inference(sat_refutation,[status(thm)],[f144,f382,f87832])).
% 229.20/29.16 % SZS output end CNFRefutation for theBenchmark.p
% 229.83/29.26 % Elapsed time: 28.891417 seconds
% 229.83/29.26 % CPU time: 229.677775 seconds
% 229.83/29.26 % Total memory used: 2.061 GB
% 229.83/29.26 % Net memory used: 1.967 GB
%------------------------------------------------------------------------------