TSTP Solution File: LCL015-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL015-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:18:01 EDT 2023
% Result : Unsatisfiable 2.73s 0.79s
% Output : CNFRefutation 2.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LCL015-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n011.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 09:41:42 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 2.73/0.79 % Refutation found
% 2.73/0.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.73/0.79 % SZS output start CNFRefutation for theBenchmark
% 2.73/0.79 fof(f1,axiom,(
% 2.73/0.79 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 2.73/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.73/0.79 fof(f2,axiom,(
% 2.73/0.79 (![X,Y,Z]: (is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X)))) ))),
% 2.73/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.73/0.79 fof(f3,negated_conjecture,(
% 2.73/0.79 ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(c,equivalent(a,b)))) ),
% 2.73/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.73/0.79 fof(f4,plain,(
% 2.73/0.79 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 2.73/0.79 inference(miniscoping,[status(esa)],[f1])).
% 2.73/0.79 fof(f5,plain,(
% 2.73/0.79 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 2.73/0.79 inference(cnf_transformation,[status(esa)],[f4])).
% 2.73/0.79 fof(f6,plain,(
% 2.73/0.79 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X1,X2),X0)))))),
% 2.73/0.79 inference(cnf_transformation,[status(esa)],[f2])).
% 2.73/0.79 fof(f7,plain,(
% 2.73/0.79 ~is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(c,equivalent(a,b))))),
% 2.73/0.79 inference(cnf_transformation,[status(esa)],[f3])).
% 2.73/0.79 fof(f8,plain,(
% 2.73/0.79 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X2),X0))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f6,f5])).
% 2.73/0.79 fof(f9,plain,(
% 2.73/0.79 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(equivalent(X2,X1),X3)),X0),equivalent(X3,X2)))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f8,f6])).
% 2.73/0.79 fof(f10,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(X2,X1),X3)),X4),equivalent(X3,X2)),X0),X4))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f9,f8])).
% 2.73/0.79 fof(f11,plain,(
% 2.73/0.79 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(X2,X1),X3)),X0),equivalent(X3,X2))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f9,f5])).
% 2.73/0.79 fof(f13,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(X2,X1),X3)),X4),equivalent(X3,X2)),X0),X4)))),
% 2.73/0.79 inference(resolution,[status(thm)],[f10,f5])).
% 2.73/0.79 fof(f14,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),equivalent(equivalent(X3,X4),equivalent(X5,equivalent(equivalent(X4,X5),X3)))),equivalent(X2,X1))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f11,f6])).
% 2.73/0.79 fof(f16,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),equivalent(X3,equivalent(equivalent(equivalent(X4,equivalent(equivalent(X5,X4),X6)),X3),equivalent(X6,X5)))),equivalent(X2,X1))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f11,f9])).
% 2.73/0.79 fof(f18,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(X2,X1),X3)),X4),equivalent(X3,X2)),X0))|is_a_theorem(X4))),
% 2.73/0.79 inference(resolution,[status(thm)],[f13,f5])).
% 2.73/0.79 fof(f20,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X1),X3))),X4))|is_a_theorem(equivalent(X3,X2))|~is_a_theorem(equivalent(X4,X0)))),
% 2.73/0.79 inference(resolution,[status(thm)],[f18,f13])).
% 2.73/0.79 fof(f25,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),equivalent(X3,equivalent(equivalent(X4,X3),X5))),equivalent(X2,X1)))|is_a_theorem(equivalent(X5,X4)))),
% 2.73/0.79 inference(resolution,[status(thm)],[f20,f6])).
% 2.73/0.79 fof(f44,plain,(
% 2.73/0.79 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X0))),X2),X1)))),
% 2.73/0.79 inference(resolution,[status(thm)],[f25,f14])).
% 2.73/0.79 fof(f45,plain,(
% 2.73/0.79 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,equivalent(equivalent(X2,X3),X1))))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f44,f18])).
% 2.73/0.79 fof(f47,plain,(
% 2.73/0.79 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),equivalent(equivalent(X2,equivalent(X1,equivalent(X3,X2))),X3)))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f44,f8])).
% 2.73/0.79 fof(f48,plain,(
% 2.73/0.79 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X0))),X2))|is_a_theorem(X1))),
% 2.73/0.79 inference(resolution,[status(thm)],[f44,f5])).
% 2.73/0.79 fof(f67,plain,(
% 2.73/0.79 spl0_0 <=> ~is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),X3),equivalent(X2,X1)))|is_a_theorem(X3)),
% 2.73/0.79 introduced(split_symbol_definition)).
% 2.73/0.79 fof(f68,plain,(
% 2.73/0.79 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),X3),equivalent(X2,X1)))|is_a_theorem(X3)|~spl0_0)),
% 2.73/0.79 inference(component_clause,[status(thm)],[f67])).
% 2.73/0.79 fof(f70,plain,(
% 2.73/0.79 spl0_1 <=> ~is_a_theorem(equivalent(equivalent(X4,X5),equivalent(X6,equivalent(equivalent(X5,X6),X4))))),
% 2.73/0.79 introduced(split_symbol_definition)).
% 2.73/0.79 fof(f71,plain,(
% 2.73/0.79 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X1,X2),X0))))|~spl0_1)),
% 2.73/0.79 inference(component_clause,[status(thm)],[f70])).
% 2.73/0.79 fof(f73,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),X3),equivalent(X2,X1)))|~is_a_theorem(equivalent(equivalent(X4,X5),equivalent(X6,equivalent(equivalent(X5,X6),X4))))|is_a_theorem(X3))),
% 2.73/0.79 inference(resolution,[status(thm)],[f45,f18])).
% 2.73/0.79 fof(f74,plain,(
% 2.73/0.79 spl0_0|spl0_1),
% 2.73/0.79 inference(split_clause,[status(thm)],[f73,f67,f70])).
% 2.73/0.79 fof(f76,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,equivalent(equivalent(X3,X4),X2))),X0))))|is_a_theorem(X1))),
% 2.73/0.79 inference(resolution,[status(thm)],[f45,f48])).
% 2.73/0.79 fof(f80,plain,(
% 2.73/0.79 spl0_2 <=> ~is_a_theorem(X0)|~is_a_theorem(X0)),
% 2.73/0.79 introduced(split_symbol_definition)).
% 2.73/0.79 fof(f81,plain,(
% 2.73/0.79 ![X0]: (~is_a_theorem(X0)|~is_a_theorem(X0)|~spl0_2)),
% 2.73/0.79 inference(component_clause,[status(thm)],[f80])).
% 2.73/0.79 fof(f90,plain,(
% 2.73/0.79 ![X0]: (~is_a_theorem(X0)|~spl0_2)),
% 2.73/0.79 inference(duplicate_literals_removal,[status(esa)],[f81])).
% 2.73/0.79 fof(f128,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),equivalent(equivalent(X2,X3),equivalent(X4,equivalent(equivalent(X3,X4),X2))))),X1)))),
% 2.73/0.79 inference(resolution,[status(thm)],[f76,f9])).
% 2.73/0.79 fof(f129,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X4,equivalent(equivalent(X3,X4),X2)))),X0)))),
% 2.73/0.79 inference(resolution,[status(thm)],[f76,f45])).
% 2.73/0.79 fof(f150,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,equivalent(equivalent(X2,X3),X1))),X0),X4)),X4)))),
% 2.73/0.79 inference(resolution,[status(thm)],[f128,f25])).
% 2.73/0.79 fof(f155,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),equivalent(equivalent(X2,X3),equivalent(X4,equivalent(equivalent(X3,X4),X2))))))|is_a_theorem(X1))),
% 2.73/0.79 inference(resolution,[status(thm)],[f128,f5])).
% 2.73/0.79 fof(f166,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,equivalent(equivalent(X3,X4),X2))),X1))))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f129,f44])).
% 2.73/0.79 fof(f176,plain,(
% 2.73/0.79 $false|~spl0_1),
% 2.73/0.79 inference(forward_subsumption_resolution,[status(thm)],[f71,f6])).
% 2.73/0.79 fof(f177,plain,(
% 2.73/0.79 ~spl0_1),
% 2.73/0.79 inference(contradiction_clause,[status(thm)],[f176])).
% 2.73/0.79 fof(f200,plain,(
% 2.73/0.79 spl0_8 <=> ~is_a_theorem(equivalent(X3,equivalent(equivalent(X4,X3),X5)))|is_a_theorem(equivalent(X5,X4))),
% 2.73/0.79 introduced(split_symbol_definition)).
% 2.73/0.79 fof(f201,plain,(
% 2.73/0.79 ![X0,X1,X2]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X2)))|is_a_theorem(equivalent(X2,X1))|~spl0_8)),
% 2.73/0.79 inference(component_clause,[status(thm)],[f200])).
% 2.73/0.79 fof(f220,plain,(
% 2.73/0.79 spl0_12 <=> ~is_a_theorem(X4)|is_a_theorem(equivalent(equivalent(equivalent(X5,X6),equivalent(X7,equivalent(equivalent(X6,X7),X5))),X4))),
% 2.73/0.79 introduced(split_symbol_definition)).
% 2.73/0.79 fof(f221,plain,(
% 2.73/0.79 ![X0,X1,X2,X3]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,equivalent(equivalent(X2,X3),X1))),X0))|~spl0_12)),
% 2.73/0.79 inference(component_clause,[status(thm)],[f220])).
% 2.73/0.79 fof(f261,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,equivalent(equivalent(X2,X3),X1))),X0),X4)))|is_a_theorem(X4))),
% 2.73/0.79 inference(resolution,[status(thm)],[f150,f5])).
% 2.73/0.79 fof(f313,plain,(
% 2.73/0.79 $false|~spl0_2),
% 2.73/0.79 inference(backward_subsumption_resolution,[status(thm)],[f14,f90])).
% 2.73/0.79 fof(f314,plain,(
% 2.73/0.79 ~spl0_2),
% 2.73/0.79 inference(contradiction_clause,[status(thm)],[f313])).
% 2.73/0.79 fof(f316,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,equivalent(equivalent(X2,X3),X1)))),X4))|is_a_theorem(equivalent(X4,X0))|~spl0_12|~spl0_8)),
% 2.73/0.79 inference(resolution,[status(thm)],[f221,f201])).
% 2.73/0.79 fof(f318,plain,(
% 2.73/0.79 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,X1))),X3),X2)))|~is_a_theorem(X0)|~spl0_8|~spl0_12)),
% 2.73/0.79 inference(resolution,[status(thm)],[f316,f221])).
% 2.73/0.79 fof(f319,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),equivalent(equivalent(X2,equivalent(X1,equivalent(X3,X2))),X3))),X4))|is_a_theorem(X4)|~spl0_8|~spl0_12|~spl0_0)),
% 2.73/0.79 inference(resolution,[status(thm)],[f318,f68])).
% 2.73/0.79 fof(f321,plain,(
% 2.73/0.79 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X1,equivalent(X0,X2)))))|~spl0_12|~spl0_8)),
% 2.73/0.79 inference(resolution,[status(thm)],[f318,f201])).
% 2.73/0.79 fof(f324,plain,(
% 2.73/0.79 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X1,equivalent(X0,equivalent(X2,X1))),X2))|~spl0_12|~spl0_8)),
% 2.73/0.79 inference(resolution,[status(thm)],[f321,f201])).
% 2.73/0.79 fof(f354,plain,(
% 2.73/0.79 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X0))))|~is_a_theorem(equivalent(X1,X2))|~spl0_0|~spl0_12|~spl0_8)),
% 2.73/0.79 inference(resolution,[status(thm)],[f319,f324])).
% 2.73/0.79 fof(f383,plain,(
% 2.73/0.79 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,X1),X2))|is_a_theorem(equivalent(equivalent(X2,X1),X0))|~spl0_0|~spl0_12|~spl0_8)),
% 2.73/0.79 inference(resolution,[status(thm)],[f354,f201])).
% 2.73/0.79 fof(f538,plain,(
% 2.73/0.79 ~is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(b,c)),a))|~spl0_0|~spl0_12|~spl0_8),
% 2.73/0.79 inference(resolution,[status(thm)],[f7,f383])).
% 2.73/0.79 fof(f660,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|is_a_theorem(equivalent(X1,equivalent(X0,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,equivalent(equivalent(X3,X4),X2))),X1)))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f166,f5])).
% 2.73/0.79 fof(f755,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,equivalent(equivalent(X2,X3),X1))),equivalent(X4,X0))),X4)))),
% 2.73/0.79 inference(resolution,[status(thm)],[f261,f47])).
% 2.73/0.79 fof(f1006,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,equivalent(equivalent(X3,X4),X2))),X1))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f660,f5])).
% 2.73/0.79 fof(f2059,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,equivalent(equivalent(X2,X3),X1))),equivalent(X4,X0))))|is_a_theorem(X4))),
% 2.73/0.79 inference(resolution,[status(thm)],[f755,f5])).
% 2.73/0.79 fof(f2104,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X2)))|~is_a_theorem(equivalent(equivalent(X3,X4),equivalent(X5,equivalent(equivalent(X4,X5),X3))))|is_a_theorem(equivalent(X2,X1)))),
% 2.73/0.79 inference(resolution,[status(thm)],[f1006,f155])).
% 2.73/0.79 fof(f2105,plain,(
% 2.73/0.79 spl0_8|spl0_1),
% 2.73/0.79 inference(split_clause,[status(thm)],[f2104,f200,f70])).
% 2.73/0.79 fof(f2116,plain,(
% 2.73/0.79 ![X0,X1,X2,X3,X4]: (~is_a_theorem(X0)|~is_a_theorem(X1)|~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(equivalent(X2,X3),equivalent(X4,equivalent(equivalent(X3,X4),X2))),X1)))),
% 2.73/0.79 inference(resolution,[status(thm)],[f1006,f5])).
% 2.73/0.79 fof(f2117,plain,(
% 2.73/0.79 spl0_2|spl0_12),
% 2.73/0.79 inference(split_clause,[status(thm)],[f2116,f80,f220])).
% 2.73/0.79 fof(f2193,plain,(
% 2.73/0.79 ![X0,X1]: (is_a_theorem(X0)|~is_a_theorem(X1)|~is_a_theorem(equivalent(X0,X1)))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2059,f1006])).
% 2.73/0.79 fof(f2194,plain,(
% 2.73/0.79 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X3,equivalent(equivalent(X2,X3),X1)),X0)))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2059,f47])).
% 2.73/0.79 fof(f2242,plain,(
% 2.73/0.79 ![X0,X1,X2,X3]: (is_a_theorem(X0)|~is_a_theorem(equivalent(equivalent(X1,X0),equivalent(equivalent(X2,equivalent(X1,equivalent(X3,X2))),X3))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2193,f47])).
% 2.73/0.79 fof(f2264,plain,(
% 2.73/0.79 ![X0,X1,X2,X3]: (is_a_theorem(X0)|~is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,equivalent(equivalent(X2,X3),X1)),X0))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2194,f2193])).
% 2.73/0.79 fof(f2329,plain,(
% 2.73/0.79 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X0),X2)),equivalent(X3,X1))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2264,f2194])).
% 2.73/0.79 fof(f2387,plain,(
% 2.73/0.79 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),X1),X2)))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2329,f48])).
% 2.73/0.79 fof(f2388,plain,(
% 2.73/0.79 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X3,equivalent(X0,X2)))),X3),X1)))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2329,f2242])).
% 2.73/0.79 fof(f2425,plain,(
% 2.73/0.79 ![X0,X1,X2]: (~is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),X1))|is_a_theorem(X2))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2387,f5])).
% 2.73/0.79 fof(f2519,plain,(
% 2.73/0.79 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X3,equivalent(X0,X2)))),X3))|is_a_theorem(X1))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2388,f5])).
% 2.73/0.79 fof(f2599,plain,(
% 2.73/0.79 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,X2),X1))),equivalent(X3,X0)))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2519,f2388])).
% 2.73/0.79 fof(f2601,plain,(
% 2.73/0.79 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X0,X2),X1)))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2519,f16])).
% 2.73/0.79 fof(f2616,plain,(
% 2.73/0.79 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X1),X0))),X2)))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2601,f2264])).
% 2.73/0.79 fof(f2620,plain,(
% 2.73/0.79 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X2,equivalent(equivalent(X0,X2),X1))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2601,f2193])).
% 2.73/0.79 fof(f2655,plain,(
% 2.73/0.79 ![X0,X1]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1)))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2616,f2425])).
% 2.73/0.79 fof(f2694,plain,(
% 2.73/0.79 ![X0,X1]: (~is_a_theorem(equivalent(X0,equivalent(X0,X1)))|is_a_theorem(X1))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2655,f5])).
% 2.73/0.79 fof(f2740,plain,(
% 2.73/0.79 ![X0,X1]: (is_a_theorem(equivalent(X0,X1))|~is_a_theorem(equivalent(X1,X0))|~spl0_0|~spl0_12|~spl0_8)),
% 2.73/0.79 inference(resolution,[status(thm)],[f2694,f354])).
% 2.73/0.79 fof(f3368,plain,(
% 2.73/0.79 ~is_a_theorem(equivalent(a,equivalent(equivalent(c,equivalent(a,b)),equivalent(b,c))))|~spl0_0|~spl0_12|~spl0_8),
% 2.73/0.79 inference(resolution,[status(thm)],[f2740,f538])).
% 2.73/0.79 fof(f4587,plain,(
% 2.73/0.79 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(equivalent(X0,X2),X1))))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f2599,f2694])).
% 2.73/0.79 fof(f4837,plain,(
% 2.73/0.79 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X1),equivalent(X0,X2))))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f4587,f2620])).
% 2.73/0.79 fof(f5112,plain,(
% 2.73/0.79 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))))),
% 2.73/0.79 inference(resolution,[status(thm)],[f4837,f2620])).
% 2.73/0.79 fof(f5763,plain,(
% 2.73/0.79 $false|~spl0_0|~spl0_12|~spl0_8),
% 2.73/0.79 inference(forward_subsumption_resolution,[status(thm)],[f3368,f5112])).
% 2.73/0.79 fof(f5764,plain,(
% 2.73/0.79 ~spl0_0|~spl0_12|~spl0_8),
% 2.73/0.80 inference(contradiction_clause,[status(thm)],[f5763])).
% 2.73/0.80 fof(f5765,plain,(
% 2.73/0.80 $false),
% 2.73/0.80 inference(sat_refutation,[status(thm)],[f74,f177,f314,f2105,f2117,f5764])).
% 2.73/0.80 % SZS output end CNFRefutation for theBenchmark.p
% 2.98/0.81 % Elapsed time: 0.487129 seconds
% 2.98/0.81 % CPU time: 3.049635 seconds
% 2.98/0.81 % Memory used: 72.312 MB
%------------------------------------------------------------------------------