TSTP Solution File: LCL166-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL166-1 : 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 : Wed May 31 12:18:27 EDT 2023
% Result : Unsatisfiable 83.35s 10.86s
% Output : CNFRefutation 84.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL166-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 09:57:17 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 83.35/10.86 % Refutation found
% 83.35/10.86 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 83.35/10.86 % SZS output start CNFRefutation for theBenchmark
% 83.35/10.86 fof(f1,axiom,(
% 83.35/10.86 (![X,Y]: (( ~ is_a_theorem(equivalent(X,Y))| ~ is_a_theorem(X)| is_a_theorem(Y) ) ))),
% 83.35/10.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.35/10.86 fof(f2,axiom,(
% 83.35/10.86 (![X,Y,Z]: (is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))) ))),
% 83.35/10.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.35/10.86 fof(f3,negated_conjecture,(
% 83.35/10.86 ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))) ),
% 83.35/10.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 83.35/10.86 fof(f4,plain,(
% 83.35/10.86 ![Y]: ((![X]: (~is_a_theorem(equivalent(X,Y))|~is_a_theorem(X)))|is_a_theorem(Y))),
% 83.35/10.86 inference(miniscoping,[status(esa)],[f1])).
% 83.35/10.86 fof(f5,plain,(
% 83.35/10.86 ![X0,X1]: (~is_a_theorem(equivalent(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1))),
% 83.35/10.86 inference(cnf_transformation,[status(esa)],[f4])).
% 83.35/10.86 fof(f6,plain,(
% 83.35/10.86 ![X0,X1,X2]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1)))))),
% 83.35/10.86 inference(cnf_transformation,[status(esa)],[f2])).
% 83.35/10.86 fof(f7,plain,(
% 83.35/10.86 ~is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a))))),
% 83.35/10.86 inference(cnf_transformation,[status(esa)],[f3])).
% 83.35/10.86 fof(f8,plain,(
% 83.35/10.86 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1))))),
% 83.35/10.86 inference(resolution,[status(thm)],[f6,f5])).
% 83.35/10.86 fof(f9,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X2),X3)))),X0))))),
% 83.35/10.86 inference(resolution,[status(thm)],[f8,f6])).
% 83.35/10.86 fof(f10,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X2),X3)))),X0)))),
% 83.35/10.86 inference(resolution,[status(thm)],[f9,f5])).
% 83.35/10.86 fof(f11,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5)))),X2))),X0))))),
% 83.35/10.86 inference(resolution,[status(thm)],[f9,f8])).
% 83.35/10.86 fof(f12,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2)))),X4),equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6)))),equivalent(X4,X0))))),
% 83.35/10.86 inference(resolution,[status(thm)],[f10,f9])).
% 83.35/10.86 fof(f13,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4)))),X2)))),
% 83.35/10.86 inference(resolution,[status(thm)],[f10,f6])).
% 83.35/10.86 fof(f14,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2)))),equivalent(equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X0),X4)),equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7)))))))),
% 83.35/10.86 inference(resolution,[status(thm)],[f13,f10])).
% 83.35/10.86 fof(f15,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4)))))|is_a_theorem(X2))),
% 83.35/10.86 inference(resolution,[status(thm)],[f13,f5])).
% 83.35/10.86 fof(f16,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X4),X2)),equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6)))),X4)),X0))))),
% 83.35/10.86 inference(resolution,[status(thm)],[f13,f8])).
% 83.35/10.86 fof(f18,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5)))),X2))),X0)))),
% 83.35/10.86 inference(resolution,[status(thm)],[f11,f5])).
% 83.35/10.86 fof(f19,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7)))),X4))),X2))),X0))))),
% 83.35/10.86 inference(resolution,[status(thm)],[f11,f8])).
% 83.35/10.86 fof(f23,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(equivalent(X3,X4),equivalent(equivalent(X4,equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6)))),X3))),X2)))),
% 83.35/10.86 inference(resolution,[status(thm)],[f18,f6])).
% 83.35/10.86 fof(f26,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2)))),X4),equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6)))))|is_a_theorem(equivalent(X4,X0)))),
% 83.35/10.86 inference(resolution,[status(thm)],[f12,f5])).
% 83.35/10.86 fof(f29,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X3),X1)),equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5)))),X3)),X7),equivalent(X8,equivalent(equivalent(X9,X10),equivalent(equivalent(X10,X8),X9)))),equivalent(X7,X0))))),
% 83.35/10.86 inference(resolution,[status(thm)],[f16,f10])).
% 83.35/10.86 fof(f30,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X4),X2)),equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6)))),X4)),X0)))),
% 83.35/10.86 inference(resolution,[status(thm)],[f16,f5])).
% 83.35/10.86 fof(f37,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X2),X3)))),X0)),equivalent(equivalent(equivalent(X5,X6),equivalent(equivalent(X6,equivalent(X7,equivalent(X8,equivalent(equivalent(X9,X10),equivalent(equivalent(X10,X8),X9))))),X5)),X7))))),
% 83.35/10.86 inference(resolution,[status(thm)],[f26,f23])).
% 83.35/10.86 fof(f38,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1))),equivalent(equivalent(equivalent(X3,X4),equivalent(equivalent(X4,equivalent(X5,equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7))))),X3)),X5))))),
% 83.35/10.86 inference(resolution,[status(thm)],[f26,f13])).
% 83.35/10.86 fof(f41,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,equivalent(X0,equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5)))))),X1)),X3))))),
% 83.35/10.86 inference(resolution,[status(thm)],[f26,f9])).
% 83.35/10.86 fof(f43,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5)))))),X0)),X2),equivalent(X7,equivalent(equivalent(X8,X9),equivalent(equivalent(X9,X7),X8)))),X3)))),
% 83.35/10.86 inference(resolution,[status(thm)],[f41,f10])).
% 83.35/10.86 fof(f45,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(equivalent(X3,X4),equivalent(equivalent(X4,equivalent(X5,equivalent(X2,equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7)))))),X3)),X5))),X0))))),
% 83.35/10.86 inference(resolution,[status(thm)],[f41,f8])).
% 83.35/10.86 fof(f75,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X5),X3)),equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7)))),X5)),X2)))),
% 83.35/10.86 inference(resolution,[status(thm)],[f30,f6])).
% 83.35/10.86 fof(f77,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4)))),equivalent(equivalent(X6,X7),equivalent(equivalent(X7,equivalent(X8,equivalent(equivalent(X9,X10),equivalent(equivalent(X10,X8),X9)))),X6))),equivalent(X2,equivalent(X11,equivalent(equivalent(X12,X13),equivalent(equivalent(X13,X11),X12)))))))),
% 83.35/10.86 inference(resolution,[status(thm)],[f14,f18])).
% 83.35/10.86 fof(f79,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2)))))|is_a_theorem(equivalent(equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X0),X4)),equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7))))))),
% 83.35/10.86 inference(resolution,[status(thm)],[f14,f5])).
% 83.35/10.86 fof(f88,plain,(
% 83.35/10.86 spl0_1 <=> is_a_theorem(equivalent(equivalent(equivalent(X3,X4),equivalent(equivalent(X4,equivalent(X5,equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7))))),X3)),X5))),
% 83.35/10.86 introduced(split_symbol_definition)).
% 83.35/10.86 fof(f89,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))))),X0)),X2))|~spl0_1)),
% 83.35/10.86 inference(component_clause,[status(thm)],[f88])).
% 83.35/10.86 fof(f107,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(equivalent(X3,X4),equivalent(equivalent(X4,equivalent(X5,equivalent(X2,equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7)))))),X3)),X5))),X0)))),
% 83.35/10.86 inference(resolution,[status(thm)],[f45,f5])).
% 83.35/10.86 fof(f109,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,equivalent(X4,equivalent(equivalent(equivalent(X5,X6),equivalent(equivalent(X6,equivalent(X7,equivalent(X4,equivalent(X8,equivalent(equivalent(X9,X10),equivalent(equivalent(X10,X8),X9)))))),X5)),X7))),X2))),X0))))),
% 83.35/10.86 inference(resolution,[status(thm)],[f45,f8])).
% 83.35/10.86 fof(f139,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X5),X3)),equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7)))),X5)))|is_a_theorem(X2))),
% 83.35/10.86 inference(resolution,[status(thm)],[f75,f5])).
% 83.35/10.86 fof(f184,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(X3,equivalent(equivalent(equivalent(X4,X5),equivalent(equivalent(X5,equivalent(X6,equivalent(X3,equivalent(X7,equivalent(equivalent(X8,X9),equivalent(equivalent(X9,X7),X8)))))),X4)),X6))),X2)))),
% 83.35/10.86 inference(resolution,[status(thm)],[f107,f6])).
% 83.35/10.86 fof(f265,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))))),X0)))|is_a_theorem(X2)|~spl0_1)),
% 83.35/10.86 inference(resolution,[status(thm)],[f89,f5])).
% 83.35/10.86 fof(f270,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),X3),X2),equivalent(X3,equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5))))))|~spl0_1)),
% 83.35/10.86 inference(resolution,[status(thm)],[f265,f38])).
% 83.35/10.86 fof(f279,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))),X0)),X1))))|~spl0_1)),
% 83.35/10.86 inference(resolution,[status(thm)],[f270,f265])).
% 83.35/10.86 fof(f285,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),X3),X2))|is_a_theorem(equivalent(X3,equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5)))))|~spl0_1)),
% 83.35/10.86 inference(resolution,[status(thm)],[f270,f5])).
% 83.35/10.86 fof(f295,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(X0)|is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))),X0)),X1)))|~spl0_1)),
% 83.35/10.86 inference(resolution,[status(thm)],[f279,f5])).
% 83.35/10.86 fof(f333,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X2),X3))),equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6))))),X0)))|~spl0_1)),
% 83.35/10.86 inference(resolution,[status(thm)],[f295,f6])).
% 83.35/10.86 fof(f339,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))))),equivalent(X2,X0)),equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7)))))|~spl0_1)),
% 83.35/10.86 inference(resolution,[status(thm)],[f285,f89])).
% 83.35/10.86 fof(f352,plain,(
% 83.35/10.86 spl0_4 <=> ~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X2),X3)))),X0)))),
% 83.35/10.86 introduced(split_symbol_definition)).
% 83.35/10.86 fof(f353,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X2),X3)))),X0)))|~spl0_4)),
% 83.35/10.86 inference(component_clause,[status(thm)],[f352])).
% 83.35/10.86 fof(f477,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X2),X3))),equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6))))),X0))|~spl0_1)),
% 83.35/10.86 inference(resolution,[status(thm)],[f333,f5])).
% 83.35/10.86 fof(f648,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))),equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7))))),X2))|~spl0_1)),
% 83.35/10.86 inference(resolution,[status(thm)],[f477,f6])).
% 83.35/10.86 fof(f855,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5)))))),X0)),X2),equivalent(X7,equivalent(equivalent(X8,X9),equivalent(equivalent(X9,X7),X8)))))|is_a_theorem(X3))),
% 83.35/10.86 inference(resolution,[status(thm)],[f43,f5])).
% 83.35/10.86 fof(f1012,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(X3,equivalent(equivalent(equivalent(X4,X5),equivalent(equivalent(X5,equivalent(X6,equivalent(X3,equivalent(X7,equivalent(equivalent(X8,X9),equivalent(equivalent(X9,X7),X8)))))),X4)),X6))))|is_a_theorem(X2))),
% 83.35/10.86 inference(resolution,[status(thm)],[f184,f5])).
% 83.35/10.86 fof(f1572,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X3)),X0)),X2),X3),equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5)))))|~spl0_1)),
% 83.35/10.86 inference(resolution,[status(thm)],[f339,f285])).
% 83.35/10.86 fof(f1601,plain,(
% 83.35/10.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,equivalent(X4,X5)),X2)),X4),X5)),X0)),equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7)))))|~spl0_1)),
% 83.35/10.86 inference(resolution,[status(thm)],[f1572,f79])).
% 83.35/10.87 fof(f2486,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,equivalent(X0,equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5)))))),X1)),X3)),equivalent(X7,equivalent(equivalent(X8,X9),equivalent(equivalent(X9,X7),X8))))))),
% 83.35/10.87 inference(resolution,[status(thm)],[f1012,f43])).
% 83.35/10.87 fof(f2952,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4)))))),X2)))),
% 83.35/10.87 inference(resolution,[status(thm)],[f2486,f15])).
% 83.35/10.87 fof(f3015,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,equivalent(equivalent(X3,equivalent(X4,X2)),equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6)))))),X4)),X0))))),
% 83.35/10.87 inference(resolution,[status(thm)],[f2952,f8])).
% 83.35/10.87 fof(f3041,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,equivalent(equivalent(X3,equivalent(X4,X2)),equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6)))))),X4)),X0)))),
% 83.35/10.87 inference(resolution,[status(thm)],[f3015,f5])).
% 83.35/10.87 fof(f3145,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(equivalent(X3,equivalent(X4,equivalent(equivalent(X4,equivalent(X5,X3)),equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7)))))),X5)),X2)))),
% 83.35/10.87 inference(resolution,[status(thm)],[f3041,f6])).
% 83.35/10.87 fof(f3175,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,equivalent(X4,equivalent(equivalent(X4,equivalent(X5,X3)),equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7)))))),X5))),X0)),X2)))),
% 83.35/10.87 inference(resolution,[status(thm)],[f3145,f855])).
% 83.35/10.87 fof(f3202,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(equivalent(X3,equivalent(X4,equivalent(equivalent(X4,equivalent(X5,X3)),equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7)))))),X5)))|is_a_theorem(X2))),
% 83.35/10.87 inference(resolution,[status(thm)],[f3145,f5])).
% 83.35/10.87 fof(f3303,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,equivalent(X4,equivalent(equivalent(X4,equivalent(X5,X3)),equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7)))))),X5))),X0)))|is_a_theorem(X2))),
% 83.35/10.87 inference(resolution,[status(thm)],[f3175,f5])).
% 83.35/10.87 fof(f3405,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5)))),X2)),equivalent(X7,equivalent(equivalent(X8,X9),equivalent(equivalent(X9,X7),X8))))),X0))))),
% 83.35/10.87 inference(resolution,[status(thm)],[f29,f139])).
% 83.35/10.87 fof(f3503,plain,(
% 83.35/10.87 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X3)),X0)),X2),X3))|~spl0_1)),
% 83.35/10.87 inference(resolution,[status(thm)],[f1601,f15])).
% 83.35/10.87 fof(f3557,plain,(
% 83.35/10.87 ![X0,X1,X2,X3]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X3)),X0)),X2))|is_a_theorem(X3)|~spl0_1)),
% 83.35/10.87 inference(resolution,[status(thm)],[f3503,f5])).
% 83.35/10.87 fof(f3572,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X3),X1)),equivalent(X4,X0)),X3)),X4))|~spl0_1)),
% 83.35/10.87 inference(resolution,[status(thm)],[f3557,f648])).
% 83.35/10.87 fof(f3765,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4]: (~is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X3),X1)),equivalent(X4,X0)),X3)))|is_a_theorem(X4)|~spl0_1)),
% 83.35/10.87 inference(resolution,[status(thm)],[f3572,f5])).
% 83.35/10.87 fof(f5945,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5)))),X2)),equivalent(X7,equivalent(equivalent(X8,X9),equivalent(equivalent(X9,X7),X8))))),X0)))),
% 83.35/10.87 inference(resolution,[status(thm)],[f3405,f5])).
% 83.35/10.87 fof(f6087,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (~is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X2),X3)))),X0)))|is_a_theorem(equivalent(equivalent(equivalent(X5,X6),equivalent(equivalent(X6,equivalent(X7,equivalent(X8,equivalent(equivalent(X9,X10),equivalent(equivalent(X10,X8),X9))))),X5)),X7)))),
% 83.35/10.87 inference(resolution,[status(thm)],[f37,f5])).
% 83.35/10.87 fof(f6088,plain,(
% 83.35/10.87 spl0_4|spl0_1),
% 83.35/10.87 inference(split_clause,[status(thm)],[f6087,f352,f88])).
% 83.35/10.87 fof(f6752,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(equivalent(equivalent(X3,X4),equivalent(equivalent(X4,equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6)))),X3)),equivalent(X8,equivalent(equivalent(X9,X10),equivalent(equivalent(X10,X8),X9))))),X2)))),
% 83.35/10.87 inference(resolution,[status(thm)],[f5945,f6])).
% 83.35/10.87 fof(f9617,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5,X6,X7]: (is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2))),equivalent(equivalent(X4,X0),equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6)))))),X4)))),
% 83.35/10.87 inference(resolution,[status(thm)],[f109,f3303])).
% 83.35/10.87 fof(f9730,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))),equivalent(equivalent(X6,X2),equivalent(X7,equivalent(equivalent(X8,X9),equivalent(equivalent(X9,X7),X8)))))),X6)),X0))))),
% 83.35/10.87 inference(resolution,[status(thm)],[f9617,f8])).
% 83.35/10.87 fof(f28706,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(equivalent(equivalent(X3,X4),equivalent(equivalent(X4,equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6)))),X3)),equivalent(X8,equivalent(equivalent(X9,X10),equivalent(equivalent(X10,X8),X9))))))|is_a_theorem(X2))),
% 83.35/10.87 inference(resolution,[status(thm)],[f6752,f5])).
% 83.35/10.87 fof(f59369,plain,(
% 83.35/10.87 $false|~spl0_4),
% 83.35/10.87 inference(forward_subsumption_resolution,[status(thm)],[f353,f9])).
% 83.35/10.87 fof(f59370,plain,(
% 83.35/10.87 ~spl0_4),
% 83.35/10.87 inference(contradiction_clause,[status(thm)],[f59369])).
% 83.35/10.87 fof(f61894,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))))),equivalent(X2,X0))))),
% 83.35/10.87 inference(resolution,[status(thm)],[f28706,f9730])).
% 83.35/10.87 fof(f61928,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))))),X1),X2)))),
% 83.35/10.87 inference(resolution,[status(thm)],[f61894,f3202])).
% 83.35/10.87 fof(f62022,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))))))|is_a_theorem(equivalent(X2,X0)))),
% 83.35/10.87 inference(resolution,[status(thm)],[f61894,f5])).
% 83.35/10.87 fof(f71057,plain,(
% 83.35/10.87 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4)))),X1))),X6),X6),X0)))),
% 84.12/10.94 inference(resolution,[status(thm)],[f62022,f19])).
% 84.12/10.94 fof(f73801,plain,(
% 84.12/10.94 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4)))),X1))),X6),X6))|is_a_theorem(X0))),
% 84.12/10.94 inference(resolution,[status(thm)],[f71057,f5])).
% 84.12/10.94 fof(f82059,plain,(
% 84.12/10.94 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(X2,X2),equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))))),X0))))),
% 84.12/10.94 inference(resolution,[status(thm)],[f73801,f61928])).
% 84.12/10.94 fof(f82271,plain,(
% 84.12/10.94 ![X0,X1,X2,X3,X4,X5]: (~is_a_theorem(equivalent(X0,X1))|is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X2),equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))))),X0)))),
% 84.12/10.94 inference(resolution,[status(thm)],[f82059,f5])).
% 84.12/10.94 fof(f83019,plain,(
% 84.12/10.94 ![X0,X1,X2,X3,X4,X5,X6]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(equivalent(X3,X3),equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5))))),X2)))),
% 84.12/10.94 inference(resolution,[status(thm)],[f82271,f6])).
% 84.12/10.94 fof(f84790,plain,(
% 84.12/10.94 ![X0,X1,X2,X3,X4,X5,X6]: (~is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(equivalent(X3,X3),equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5))))))|is_a_theorem(X2))),
% 84.12/10.94 inference(resolution,[status(thm)],[f83019,f5])).
% 84.12/10.94 fof(f85723,plain,(
% 84.12/10.94 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X2),X3))),equivalent(X5,X5))),X0))))),
% 84.12/10.94 inference(resolution,[status(thm)],[f84790,f77])).
% 84.12/10.94 fof(f85848,plain,(
% 84.12/10.94 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2)))))),
% 84.12/10.94 inference(resolution,[status(thm)],[f85723,f62022])).
% 84.12/10.94 fof(f86007,plain,(
% 84.12/10.94 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,X0)),X1)),X3))))),
% 84.12/10.94 inference(resolution,[status(thm)],[f85848,f62022])).
% 84.12/10.94 fof(f86173,plain,(
% 84.12/10.94 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X2,X0))))|~spl0_1)),
% 84.12/10.94 inference(resolution,[status(thm)],[f86007,f3765])).
% 84.12/10.94 fof(f92114,plain,(
% 84.12/10.94 $false|~spl0_1),
% 84.12/10.94 inference(backward_subsumption_resolution,[status(thm)],[f7,f86173])).
% 84.12/10.94 fof(f92115,plain,(
% 84.12/10.94 ~spl0_1),
% 84.12/10.94 inference(contradiction_clause,[status(thm)],[f92114])).
% 84.12/10.94 fof(f92116,plain,(
% 84.12/10.94 $false),
% 84.12/10.94 inference(sat_refutation,[status(thm)],[f6088,f59370,f92115])).
% 84.12/10.94 % SZS output end CNFRefutation for theBenchmark.p
% 84.12/10.95 % Elapsed time: 10.603351 seconds
% 84.12/10.95 % CPU time: 84.132334 seconds
% 84.12/10.95 % Memory used: 675.833 MB
%------------------------------------------------------------------------------