TSTP Solution File: SYO655-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYO655-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:49:26 EDT 2023
% Result : Unsatisfiable 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO655-1 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.33 % Computer : n013.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 30 10:05:35 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.35 % Drodi V3.5.1
% 0.20/0.37 % Refutation found
% 0.20/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.37 fof(f9,axiom,(
% 0.20/0.37 (![LE,B_16,E]: (( ~ 'LE'(f(suc(B_16)),s('0'))| 'E'('0',f(suc(B_16)))| 'LE'(f(B_16),'0') ) ))),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f11,axiom,(
% 0.20/0.37 (![LE]: (~ 'LE'(f(z),'0') ))),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f15,axiom,(
% 0.20/0.37 (![E,B_18,B_19,A_1,B_17,B_20]: (( ~ 'E'('0',f(suc(suc(B_18))))| ~ 'E'('0',f(suc(B_19)))| ~ iLEQ(suc(B_18),suc(B_19))| ~ 'E'('0',f(suc(A_1)))| ~ 'E'('0',f(suc(suc(A_1))))| ~ 'E'('0',f(suc(B_17)))| ~ iLEQ(suc(B_17),suc(B_18))| ~ 'E'('0',f(B_19))| ~ 'E'('0',f(suc(suc(B_19))))| ~ 'E'('0',f(suc(suc(B_20))))| ~ 'E'('0',f(A_1))| ~ 'E'(f(B_18),f(suc(B_18)))| ~ 'E'('0',f(suc(suc(B_17))))| ~ iLEQ(suc(B_19),suc(B_20))| ~ 'E'('0',f(B_18))| ~ 'E'('0',f(B_17))| ~ 'E'('0',f(suc(B_18)))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'(f(B_19),f(suc(B_19)))| ~ 'E'(f(B_20),f(suc(B_20)))| ~ 'E'('0',f(B_20))| ~ 'E'('0',f(suc(B_20)))| ~ 'E'(f(B_17),f(suc(B_17)))| ~ iLEQ(suc(A_1),suc(B_17)) ) ))),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f16,axiom,(
% 0.20/0.37 (![E,B_19,B_18,A_1,B_17,B_20]: (( ~ 'E'('0',f(suc(B_19)))| ~ iLEQ(suc(B_18),suc(B_19))| ~ 'E'('0',f(suc(A_1)))| ~ 'E'('0',f(suc(B_17)))| ~ iLEQ(suc(B_17),suc(B_18))| ~ 'E'('0',f(B_19))| ~ 'E'('0',f(A_1))| ~ iLEQ(suc(B_19),suc(B_20))| ~ 'E'('0',f(B_18))| ~ 'E'('0',f(B_17))| ~ 'E'('0',f(suc(B_18)))| ~ 'E'('0',f(B_20))| ~ 'E'('0',f(suc(B_20)))| ~ iLEQ(suc(A_1),suc(B_17))| 'E'(f(B_18),f(suc(B_18)))| 'E'(f(A_1),f(suc(A_1)))| 'E'(f(B_19),f(suc(B_19)))| 'E'(f(B_20),f(suc(B_20)))| 'E'(f(B_17),f(suc(B_17))) ) ))),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f17,axiom,(
% 0.20/0.37 (![E,B_18,B_19,A_1,B_17,B_20]: (( ~ 'E'('0',f(suc(suc(B_18))))| ~ 'E'('0',f(suc(B_19)))| ~ iLEQ(suc(B_18),suc(B_19))| ~ 'E'('0',f(suc(A_1)))| ~ 'E'('0',f(suc(suc(A_1))))| ~ 'E'('0',f(suc(B_17)))| ~ iLEQ(suc(B_17),suc(B_18))| ~ 'E'('0',f(B_19))| ~ 'E'('0',f(suc(suc(B_19))))| ~ 'E'('0',f(A_1))| ~ 'E'(f(B_18),f(suc(B_18)))| ~ 'E'('0',f(suc(suc(B_17))))| ~ iLEQ(suc(B_19),suc(B_20))| ~ 'E'('0',f(B_18))| ~ 'E'('0',f(B_17))| ~ 'E'('0',f(suc(B_18)))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'(f(B_19),f(suc(B_19)))| ~ 'E'('0',f(B_20))| ~ 'E'('0',f(suc(B_20)))| ~ 'E'(f(B_17),f(suc(B_17)))| ~ iLEQ(suc(A_1),suc(B_17))| 'E'(f(B_20),f(suc(B_20))) ) ))),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f22,axiom,(
% 0.20/0.37 (![E,A_1]: (( ~ 'E'('0',f(suc(suc(A_1))))| ~ 'E'('0',f(suc(A_1)))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'('0',f(A_1))| iLEQ(suc(A_1),suc(A_1)) ) ))),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f23,axiom,(
% 0.20/0.37 (![E,A_1]: (( ~ 'E'('0',f(A_1))| ~ 'E'('0',f(suc(A_1)))| 'E'(f(A_1),f(suc(A_1)))| iLEQ(suc(A_1),suc(A_1)) ) ))),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f34,axiom,(
% 0.20/0.37 (![LE,B_16,E]: (( ~ 'LE'(f(suc(suc(B_16))),s('0'))| 'E'('0',f(suc(suc(B_16))))| 'LE'(f(B_16),'0') ) ))),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f35,axiom,(
% 0.20/0.37 (![LE,A]: ('LE'(f(A),s('0')) ))),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f37,axiom,(
% 0.20/0.37 (![LE,B_16,E]: (( ~ 'LE'(f(B_16),s('0'))| 'E'('0',f(B_16))| 'LE'(f(B_16),'0') ) ))),
% 0.20/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f56,plain,(
% 0.20/0.37 ![B_16]: ((~'LE'(f(suc(B_16)),s('0'))|'E'('0',f(suc(B_16))))|'LE'(f(B_16),'0'))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f9])).
% 0.20/0.37 fof(f57,plain,(
% 0.20/0.37 ![LE,X0,E]: (~'LE'(f(suc(X0)),s('0'))|'E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f56])).
% 0.20/0.37 fof(f60,plain,(
% 0.20/0.37 ![LE]: (~'LE'(f(z),'0'))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.37 fof(f67,plain,(
% 0.20/0.37 ![A_1,B_17]: (((![B_20]: ((((![B_19]: (((![B_18]: ((((((((((((((((~'E'('0',f(suc(suc(B_18))))|~'E'('0',f(suc(B_19))))|~iLEQ(suc(B_18),suc(B_19)))|~'E'('0',f(suc(A_1))))|~'E'('0',f(suc(suc(A_1)))))|~'E'('0',f(suc(B_17))))|~iLEQ(suc(B_17),suc(B_18)))|~'E'('0',f(B_19)))|~'E'('0',f(suc(suc(B_19)))))|~'E'('0',f(suc(suc(B_20)))))|~'E'('0',f(A_1)))|~'E'(f(B_18),f(suc(B_18))))|~'E'('0',f(suc(suc(B_17)))))|~iLEQ(suc(B_19),suc(B_20)))|~'E'('0',f(B_18)))|~'E'('0',f(B_17)))|~'E'('0',f(suc(B_18)))))|~'E'(f(A_1),f(suc(A_1))))|~'E'(f(B_19),f(suc(B_19)))))|~'E'(f(B_20),f(suc(B_20))))|~'E'('0',f(B_20)))|~'E'('0',f(suc(B_20)))))|~'E'(f(B_17),f(suc(B_17))))|~iLEQ(suc(A_1),suc(B_17)))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f15])).
% 0.20/0.37 fof(f68,plain,(
% 0.20/0.37 ![E,X0,X1,X2,X3,X4]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(suc(X2)))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(X3)))|~iLEQ(suc(X3),suc(X0))|~'E'('0',f(X1))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(suc(X4))))|~'E'('0',f(X2))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(suc(suc(X3))))|~iLEQ(suc(X1),suc(X4))|~'E'('0',f(X0))|~'E'('0',f(X3))|~'E'('0',f(suc(X0)))|~'E'(f(X2),f(suc(X2)))|~'E'(f(X1),f(suc(X1)))|~'E'(f(X4),f(suc(X4)))|~'E'('0',f(X4))|~'E'('0',f(suc(X4)))|~'E'(f(X3),f(suc(X3)))|~iLEQ(suc(X2),suc(X3)))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f67])).
% 0.20/0.37 fof(f69,plain,(
% 0.20/0.37 ![B_17]: ((![B_20]: ((![B_19]: ((![A_1]: ((![B_18]: ((((((((((((((~'E'('0',f(suc(B_19)))|~iLEQ(suc(B_18),suc(B_19)))|~'E'('0',f(suc(A_1))))|~'E'('0',f(suc(B_17))))|~iLEQ(suc(B_17),suc(B_18)))|~'E'('0',f(B_19)))|~'E'('0',f(A_1)))|~iLEQ(suc(B_19),suc(B_20)))|~'E'('0',f(B_18)))|~'E'('0',f(B_17)))|~'E'('0',f(suc(B_18))))|~'E'('0',f(B_20)))|~'E'('0',f(suc(B_20))))|~iLEQ(suc(A_1),suc(B_17)))|'E'(f(B_18),f(suc(B_18)))))|'E'(f(A_1),f(suc(A_1)))))|'E'(f(B_19),f(suc(B_19)))))|'E'(f(B_20),f(suc(B_20)))))|'E'(f(B_17),f(suc(B_17))))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f16])).
% 0.20/0.37 fof(f70,plain,(
% 0.20/0.37 ![E,X0,X1,X2,X3,X4]: (~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(suc(X2)))|~'E'('0',f(suc(X3)))|~iLEQ(suc(X3),suc(X1))|~'E'('0',f(X0))|~'E'('0',f(X2))|~iLEQ(suc(X0),suc(X4))|~'E'('0',f(X1))|~'E'('0',f(X3))|~'E'('0',f(suc(X1)))|~'E'('0',f(X4))|~'E'('0',f(suc(X4)))|~iLEQ(suc(X2),suc(X3))|'E'(f(X1),f(suc(X1)))|'E'(f(X2),f(suc(X2)))|'E'(f(X0),f(suc(X0)))|'E'(f(X4),f(suc(X4)))|'E'(f(X3),f(suc(X3))))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f69])).
% 0.20/0.37 fof(f71,plain,(
% 0.20/0.37 ![B_20]: ((![A_1,B_17]: (((((![B_19]: (((![B_18]: (((((((((((((((~'E'('0',f(suc(suc(B_18))))|~'E'('0',f(suc(B_19))))|~iLEQ(suc(B_18),suc(B_19)))|~'E'('0',f(suc(A_1))))|~'E'('0',f(suc(suc(A_1)))))|~'E'('0',f(suc(B_17))))|~iLEQ(suc(B_17),suc(B_18)))|~'E'('0',f(B_19)))|~'E'('0',f(suc(suc(B_19)))))|~'E'('0',f(A_1)))|~'E'(f(B_18),f(suc(B_18))))|~'E'('0',f(suc(suc(B_17)))))|~iLEQ(suc(B_19),suc(B_20)))|~'E'('0',f(B_18)))|~'E'('0',f(B_17)))|~'E'('0',f(suc(B_18)))))|~'E'(f(A_1),f(suc(A_1))))|~'E'(f(B_19),f(suc(B_19)))))|~'E'('0',f(B_20)))|~'E'('0',f(suc(B_20))))|~'E'(f(B_17),f(suc(B_17))))|~iLEQ(suc(A_1),suc(B_17))))|'E'(f(B_20),f(suc(B_20))))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f17])).
% 0.20/0.37 fof(f72,plain,(
% 0.20/0.37 ![E,X0,X1,X2,X3,X4]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(suc(X2)))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(X3)))|~iLEQ(suc(X3),suc(X0))|~'E'('0',f(X1))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(X2))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(suc(suc(X3))))|~iLEQ(suc(X1),suc(X4))|~'E'('0',f(X0))|~'E'('0',f(X3))|~'E'('0',f(suc(X0)))|~'E'(f(X2),f(suc(X2)))|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(X4))|~'E'('0',f(suc(X4)))|~'E'(f(X3),f(suc(X3)))|~iLEQ(suc(X2),suc(X3))|'E'(f(X4),f(suc(X4))))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f71])).
% 0.20/0.37 fof(f81,plain,(
% 0.20/0.37 ![A_1]: ((((~'E'('0',f(suc(suc(A_1))))|~'E'('0',f(suc(A_1))))|~'E'(f(A_1),f(suc(A_1))))|~'E'('0',f(A_1)))|iLEQ(suc(A_1),suc(A_1)))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f22])).
% 0.20/0.37 fof(f82,plain,(
% 0.20/0.37 ![E,X0]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f81])).
% 0.20/0.37 fof(f83,plain,(
% 0.20/0.37 ![A_1]: (((~'E'('0',f(A_1))|~'E'('0',f(suc(A_1))))|'E'(f(A_1),f(suc(A_1))))|iLEQ(suc(A_1),suc(A_1)))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f23])).
% 0.20/0.37 fof(f84,plain,(
% 0.20/0.37 ![E,X0]: (~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f83])).
% 0.20/0.37 fof(f105,plain,(
% 0.20/0.37 ![B_16]: ((~'LE'(f(suc(suc(B_16))),s('0'))|'E'('0',f(suc(suc(B_16)))))|'LE'(f(B_16),'0'))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f34])).
% 0.20/0.37 fof(f106,plain,(
% 0.20/0.37 ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s('0'))|'E'('0',f(suc(suc(X0))))|'LE'(f(X0),'0'))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f105])).
% 0.20/0.37 fof(f107,plain,(
% 0.20/0.37 ![A]: 'LE'(f(A),s('0'))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f35])).
% 0.20/0.37 fof(f108,plain,(
% 0.20/0.37 ![LE,X0]: ('LE'(f(X0),s('0')))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f107])).
% 0.20/0.37 fof(f111,plain,(
% 0.20/0.37 ![B_16]: ((~'LE'(f(B_16),s('0'))|'E'('0',f(B_16)))|'LE'(f(B_16),'0'))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f37])).
% 0.20/0.37 fof(f112,plain,(
% 0.20/0.37 ![LE,X0,E]: (~'LE'(f(X0),s('0'))|'E'('0',f(X0))|'LE'(f(X0),'0'))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f111])).
% 0.20/0.37 fof(f117,plain,(
% 0.20/0.37 ![E,X0,X1]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X0))|~'E'('0',f(X0))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X0))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X0),suc(X0))|'E'(f(X1),f(suc(X1))))),
% 0.20/0.37 inference(factoring,[status(esa)],[f72])).
% 0.20/0.37 fof(f118,plain,(
% 0.20/0.37 ![E,X0,X1]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X0))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|'E'(f(X1),f(suc(X1))))),
% 0.20/0.37 inference(duplicate_literals_removal,[status(esa)],[f117])).
% 0.20/0.37 fof(f119,plain,(
% 0.20/0.37 ![E,X0,X1]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|'E'(f(X1),f(suc(X1))))),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f118,f82])).
% 0.20/0.37 fof(f120,plain,(
% 0.20/0.37 ![E,X0,X1,X2,X3,X4]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(suc(X2)))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(X3)))|~iLEQ(suc(X3),suc(X0))|~'E'('0',f(X1))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(suc(X4))))|~'E'('0',f(X2))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(suc(suc(X3))))|~iLEQ(suc(X1),suc(X4))|~'E'('0',f(X0))|~'E'('0',f(X3))|~'E'('0',f(suc(X0)))|~'E'(f(X2),f(suc(X2)))|~'E'(f(X4),f(suc(X4)))|~'E'('0',f(X4))|~'E'('0',f(suc(X4)))|~'E'(f(X3),f(suc(X3)))|~iLEQ(suc(X2),suc(X3)))),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f68,f119])).
% 0.20/0.37 fof(f121,plain,(
% 0.20/0.37 ![E,X0]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X0))|~'E'('0',f(X0))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X0))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X0),suc(X0)))),
% 0.20/0.37 inference(factoring,[status(esa)],[f120])).
% 0.20/0.37 fof(f122,plain,(
% 0.20/0.37 ![E,X0]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X0))|~'E'(f(X0),f(suc(X0))))),
% 0.20/0.37 inference(duplicate_literals_removal,[status(esa)],[f121])).
% 0.20/0.37 fof(f123,plain,(
% 0.20/0.37 ![E,X0]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|~'E'(f(X0),f(suc(X0))))),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f122,f82])).
% 0.20/0.37 fof(f124,plain,(
% 0.20/0.37 ![E,X0,LE]: ('E'('0',f(X0))|'LE'(f(X0),'0'))),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f112,f108])).
% 0.20/0.37 fof(f125,plain,(
% 0.20/0.37 ![E]: ('E'('0',f(z)))),
% 0.20/0.37 inference(resolution,[status(thm)],[f124,f60])).
% 0.20/0.37 fof(f126,plain,(
% 0.20/0.37 ![E,X0,LE]: ('E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f57,f108])).
% 0.20/0.37 fof(f147,plain,(
% 0.20/0.37 ![E,X0,LE]: ('E'('0',f(suc(suc(X0))))|'LE'(f(X0),'0'))),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f106,f108])).
% 0.20/0.37 fof(f195,plain,(
% 0.20/0.37 ![E,X0,X1,X2]: (~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X1),suc(X1))|~'E'('0',f(X0))|~'E'('0',f(X1))|~iLEQ(suc(X0),suc(X2))|~'E'('0',f(X1))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|~'E'('0',f(X2))|~'E'('0',f(suc(X2)))|'E'(f(X1),f(suc(X1)))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0)))|'E'(f(X2),f(suc(X2)))|'E'(f(X1),f(suc(X1))))),
% 0.20/0.37 inference(factoring,[status(esa)],[f70])).
% 0.20/0.37 fof(f196,plain,(
% 0.20/0.37 ![E,X0,X1,X2]: (~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X1),suc(X1))|~'E'('0',f(X0))|~'E'('0',f(X1))|~iLEQ(suc(X0),suc(X2))|~'E'('0',f(X2))|~'E'('0',f(suc(X2)))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0)))|'E'(f(X2),f(suc(X2))))),
% 0.20/0.37 inference(duplicate_literals_removal,[status(esa)],[f195])).
% 0.20/0.37 fof(f197,plain,(
% 0.20/0.37 ![E,X0,X1,X2]: (~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(suc(X1)))|~'E'('0',f(X0))|~'E'('0',f(X1))|~iLEQ(suc(X0),suc(X2))|~'E'('0',f(X2))|~'E'('0',f(suc(X2)))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0)))|'E'(f(X2),f(suc(X2))))),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f196,f84])).
% 0.20/0.37 fof(f209,plain,(
% 0.20/0.37 spl0_0 <=> iLEQ(suc(z),suc(z))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f210,plain,(
% 0.20/0.37 iLEQ(suc(z),suc(z))|~spl0_0),
% 0.20/0.37 inference(component_clause,[status(thm)],[f209])).
% 0.20/0.37 fof(f219,plain,(
% 0.20/0.37 spl0_2 <=> 'E'('0',f(suc(z)))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f220,plain,(
% 0.20/0.37 ![E]: ('E'('0',f(suc(z)))|~spl0_2)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f219])).
% 0.20/0.37 fof(f221,plain,(
% 0.20/0.37 ![E]: (~'E'('0',f(suc(z)))|spl0_2)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f219])).
% 0.20/0.37 fof(f222,plain,(
% 0.20/0.37 spl0_3 <=> 'E'('0',f(z))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f224,plain,(
% 0.20/0.37 ![E]: (~'E'('0',f(z))|spl0_3)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f222])).
% 0.20/0.37 fof(f225,plain,(
% 0.20/0.37 spl0_4 <=> ~iLEQ(suc(z),suc(X0))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|'E'(f(X0),f(suc(X0)))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f226,plain,(
% 0.20/0.37 ![X0,E]: (~iLEQ(suc(z),suc(X0))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|'E'(f(X0),f(suc(X0)))|~spl0_4)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f225])).
% 0.20/0.37 fof(f228,plain,(
% 0.20/0.37 spl0_5 <=> 'E'(f(z),f(suc(z)))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f229,plain,(
% 0.20/0.37 ![E]: ('E'(f(z),f(suc(z)))|~spl0_5)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f228])).
% 0.20/0.37 fof(f231,plain,(
% 0.20/0.37 ![E,X0]: (~'E'('0',f(suc(z)))|~'E'('0',f(suc(z)))|~'E'('0',f(z))|~'E'('0',f(z))|~iLEQ(suc(z),suc(X0))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|'E'(f(z),f(suc(z)))|'E'(f(z),f(suc(z)))|'E'(f(X0),f(suc(X0)))|~spl0_0)),
% 0.20/0.37 inference(resolution,[status(thm)],[f210,f197])).
% 0.20/0.37 fof(f232,plain,(
% 0.20/0.37 ~spl0_2|~spl0_3|spl0_4|spl0_5|~spl0_0),
% 0.20/0.37 inference(split_clause,[status(thm)],[f231,f219,f222,f225,f228,f209])).
% 0.20/0.37 fof(f233,plain,(
% 0.20/0.37 $false|spl0_3),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f224,f125])).
% 0.20/0.37 fof(f234,plain,(
% 0.20/0.37 spl0_3),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f233])).
% 0.20/0.37 fof(f235,plain,(
% 0.20/0.37 ![LE]: ('LE'(f(z),'0')|spl0_2)),
% 0.20/0.37 inference(resolution,[status(thm)],[f221,f126])).
% 0.20/0.37 fof(f236,plain,(
% 0.20/0.37 $false|spl0_2),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f235,f60])).
% 0.20/0.37 fof(f237,plain,(
% 0.20/0.37 spl0_2),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f236])).
% 0.20/0.37 fof(f238,plain,(
% 0.20/0.37 spl0_6 <=> 'E'('0',f(suc(suc(z))))),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f240,plain,(
% 0.20/0.37 ![E]: (~'E'('0',f(suc(suc(z))))|spl0_6)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f238])).
% 0.20/0.37 fof(f241,plain,(
% 0.20/0.37 ![E]: (~'E'('0',f(suc(suc(z))))|~'E'('0',f(suc(z)))|~'E'('0',f(z))|~spl0_5)),
% 0.20/0.37 inference(resolution,[status(thm)],[f229,f123])).
% 0.20/0.37 fof(f242,plain,(
% 0.20/0.37 ~spl0_6|~spl0_2|~spl0_3|~spl0_5),
% 0.20/0.37 inference(split_clause,[status(thm)],[f241,f238,f219,f222,f228])).
% 0.20/0.37 fof(f243,plain,(
% 0.20/0.37 ![E]: (~'E'('0',f(z))|'E'(f(z),f(suc(z)))|iLEQ(suc(z),suc(z))|~spl0_2)),
% 0.20/0.37 inference(resolution,[status(thm)],[f220,f84])).
% 0.20/0.37 fof(f244,plain,(
% 0.20/0.37 ~spl0_3|spl0_5|spl0_0|~spl0_2),
% 0.20/0.37 inference(split_clause,[status(thm)],[f243,f222,f228,f209,f219])).
% 0.20/0.37 fof(f255,plain,(
% 0.20/0.37 ![LE]: ('LE'(f(z),'0')|spl0_6)),
% 0.20/0.37 inference(resolution,[status(thm)],[f240,f147])).
% 0.20/0.37 fof(f256,plain,(
% 0.20/0.37 $false|spl0_6),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f255,f60])).
% 0.20/0.37 fof(f257,plain,(
% 0.20/0.37 spl0_6),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f256])).
% 0.20/0.37 fof(f273,plain,(
% 0.20/0.37 ![E]: (~'E'('0',f(z))|~'E'('0',f(suc(z)))|'E'(f(z),f(suc(z)))|~spl0_4|~spl0_0)),
% 0.20/0.37 inference(resolution,[status(thm)],[f226,f210])).
% 0.20/0.37 fof(f274,plain,(
% 0.20/0.37 ~spl0_3|~spl0_2|spl0_5|~spl0_4|~spl0_0),
% 0.20/0.37 inference(split_clause,[status(thm)],[f273,f222,f219,f228,f225,f209])).
% 0.20/0.37 fof(f280,plain,(
% 0.20/0.37 $false),
% 0.20/0.37 inference(sat_refutation,[status(thm)],[f232,f234,f237,f242,f244,f257,f274])).
% 0.20/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.38 % Elapsed time: 0.040832 seconds
% 0.20/0.38 % CPU time: 0.145323 seconds
% 0.20/0.38 % Memory used: 2.094 MB
%------------------------------------------------------------------------------