%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO674-1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:44:45 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO674-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 12:14:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.43 % Refutation found
% 0.14/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.43 fof(f1,axiom,(
% 0.14/0.43 (![E,B_233,B_232,B_230,B_231,B_229,A_2]: (( ~ 'E'(s('0'),f(suc(B_233)))| ~ 'E'(s('0'),f(suc(B_232)))| ~ iLEQ(suc(B_230),suc(B_231))| ~ 'E'(s('0'),f(B_229))| ~ 'E'(s('0'),f(suc(A_2)))| ~ 'E'(s('0'),f(suc(B_229)))| ~ 'E'(s('0'),f(B_232))| ~ 'E'(s('0'),f(B_233))| ~ 'E'(s('0'),f(B_231))| ~ iLEQ(suc(A_2),suc(B_229))| ~ iLEQ(suc(B_229),suc(B_230))| ~ 'E'(s('0'),f(suc(B_231)))| ~ 'E'(s('0'),f(B_230))| ~ 'E'(s('0'),f(suc(B_230)))| ~ iLEQ(suc(B_232),suc(B_233))| ~ 'E'(s('0'),f(A_2))| ~ iLEQ(suc(B_231),suc(B_232)) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f2,axiom,(
% 0.14/0.43 (![LE,B_228,E]: (( ~ 'LE'(f(B_228),s(s('0')))| 'E'(s('0'),f(B_228))| 'LE'(f(B_228),s('0')) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f3,axiom,(
% 0.14/0.43 (![E,A_3]: (( ~ 'E'('0',f(A_3))| ~ 'E'('0',f(suc(A_3)))| iLEQ(suc(A_3),suc(A_3)) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f4,axiom,(
% 0.14/0.43 (![LE,B_253,E]: (( ~ 'LE'(f(B_253),s('0'))| 'E'('0',f(B_253))| 'LE'(f(B_253),'0') ) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f5,axiom,(
% 0.14/0.43 (![LE,B_158,E]: (( ~ 'LE'(f(B_158),s(s(s('0'))))| 'E'(s(s('0')),f(B_158))| 'LE'(f(B_158),s(s('0'))) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f6,axiom,(
% 0.14/0.43 (![E,A_1]: (( ~ 'E'(s(s('0')),f(A_1))| ~ 'E'(s(s('0')),f(suc(A_1)))| iLEQ(suc(A_1),suc(A_1)) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f7,axiom,(
% 0.14/0.43 (![LE,A]: ('LE'(f(A),s(s(s('0')))) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f8,axiom,(
% 0.14/0.43 (![LE]: (~ 'LE'(f(z),'0') ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f9,axiom,(
% 0.14/0.43 (![LE,B_158,E]: (( ~ 'LE'(f(suc(B_158)),s(s(s('0'))))| 'E'(s(s('0')),f(suc(B_158)))| 'LE'(f(B_158),s(s('0'))) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f10,axiom,(
% 0.14/0.43 (![E,A_1,B_163,B_159,B_160,B_161,B_162]: (( ~ 'E'(s(s('0')),f(A_1))| ~ 'E'(s(s('0')),f(suc(B_163)))| ~ 'E'(s(s('0')),f(B_159))| ~ iLEQ(suc(B_160),suc(B_161))| ~ 'E'(s(s('0')),f(suc(A_1)))| ~ 'E'(s(s('0')),f(B_162))| ~ 'E'(s(s('0')),f(B_163))| ~ iLEQ(suc(B_159),suc(B_160))| ~ 'E'(s(s('0')),f(suc(B_161)))| ~ 'E'(s(s('0')),f(suc(B_160)))| ~ 'E'(s(s('0')),f(suc(B_162)))| ~ 'E'(s(s('0')),f(B_160))| ~ iLEQ(suc(B_161),suc(B_162))| ~ 'E'(s(s('0')),f(B_161))| ~ 'E'(s(s('0')),f(suc(B_159)))| ~ iLEQ(suc(B_162),suc(B_163))| ~ iLEQ(suc(A_1),suc(B_159)) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f11,axiom,(
% 0.14/0.43 (![LE,B_253,E]: (( ~ 'LE'(f(suc(B_253)),s('0'))| 'E'('0',f(suc(B_253)))| 'LE'(f(B_253),'0') ) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f12,axiom,(
% 0.14/0.43 (![LE,B_228,E]: (( ~ 'LE'(f(suc(B_228)),s(s('0')))| 'E'(s('0'),f(suc(B_228)))| 'LE'(f(B_228),s('0')) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f13,axiom,(
% 0.14/0.43 (![E,A_2]: (( ~ 'E'(s('0'),f(A_2))| ~ 'E'(s('0'),f(suc(A_2)))| iLEQ(suc(A_2),suc(A_2)) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f14,axiom,(
% 0.14/0.43 (![A_3,B_254,E,B_257,B_255,B_256,B_258]: (( ~ iLEQ(suc(A_3),suc(B_254))| ~ 'E'('0',f(B_254))| ~ 'E'('0',f(suc(B_257)))| ~ iLEQ(suc(B_255),suc(B_256))| ~ 'E'('0',f(B_258))| ~ iLEQ(suc(B_256),suc(B_257))| ~ 'E'('0',f(A_3))| ~ 'E'('0',f(B_255))| ~ 'E'('0',f(suc(B_254)))| ~ iLEQ(suc(B_254),suc(B_255))| ~ 'E'('0',f(suc(A_3)))| ~ 'E'('0',f(suc(B_256)))| ~ iLEQ(suc(B_257),suc(B_258))| ~ 'E'('0',f(suc(B_255)))| ~ 'E'('0',f(suc(B_258)))| ~ 'E'('0',f(B_256))| ~ 'E'('0',f(B_257)) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f15,plain,(
% 0.14/0.43 ![B_232,B_231]: ((![A_2]: ((![B_233]: ((![B_230]: ((((![B_229]: ((((((((((~'E'(s('0'),f(suc(B_233)))|~'E'(s('0'),f(suc(B_232))))|~iLEQ(suc(B_230),suc(B_231)))|~'E'(s('0'),f(B_229)))|~'E'(s('0'),f(suc(A_2))))|~'E'(s('0'),f(suc(B_229))))|~'E'(s('0'),f(B_232)))|~'E'(s('0'),f(B_233)))|~'E'(s('0'),f(B_231)))|~iLEQ(suc(A_2),suc(B_229)))|~iLEQ(suc(B_229),suc(B_230))))|~'E'(s('0'),f(suc(B_231))))|~'E'(s('0'),f(B_230)))|~'E'(s('0'),f(suc(B_230)))))|~iLEQ(suc(B_232),suc(B_233))))|~'E'(s('0'),f(A_2))))|~iLEQ(suc(B_231),suc(B_232)))),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f1])).
% 0.14/0.43 fof(f16,plain,(
% 0.14/0.43 ![E,X0,X1,X2,X3,X4,X5]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(X1)))|~iLEQ(suc(X2),suc(X3))|~'E'(s('0'),f(X4))|~'E'(s('0'),f(suc(X5)))|~'E'(s('0'),f(suc(X4)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(X3))|~iLEQ(suc(X5),suc(X4))|~iLEQ(suc(X4),suc(X2))|~'E'(s('0'),f(suc(X3)))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X2)))|~iLEQ(suc(X1),suc(X0))|~'E'(s('0'),f(X5))|~iLEQ(suc(X3),suc(X1)))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.43 fof(f17,plain,(
% 0.14/0.43 ![B_228]: ((~'LE'(f(B_228),s(s('0')))|'E'(s('0'),f(B_228)))|'LE'(f(B_228),s('0')))),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f2])).
% 0.14/0.43 fof(f18,plain,(
% 0.14/0.43 ![LE,X0,E]: (~'LE'(f(X0),s(s('0')))|'E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.43 fof(f19,plain,(
% 0.14/0.43 ![A_3]: ((~'E'('0',f(A_3))|~'E'('0',f(suc(A_3))))|iLEQ(suc(A_3),suc(A_3)))),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f3])).
% 0.14/0.43 fof(f20,plain,(
% 0.14/0.43 ![E,X0]: (~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.43 fof(f21,plain,(
% 0.14/0.43 ![B_253]: ((~'LE'(f(B_253),s('0'))|'E'('0',f(B_253)))|'LE'(f(B_253),'0'))),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f4])).
% 0.14/0.43 fof(f22,plain,(
% 0.14/0.43 ![LE,X0,E]: (~'LE'(f(X0),s('0'))|'E'('0',f(X0))|'LE'(f(X0),'0'))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.43 fof(f23,plain,(
% 0.14/0.43 ![B_158]: ((~'LE'(f(B_158),s(s(s('0'))))|'E'(s(s('0')),f(B_158)))|'LE'(f(B_158),s(s('0'))))),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f5])).
% 0.14/0.43 fof(f24,plain,(
% 0.14/0.43 ![LE,X0,E]: (~'LE'(f(X0),s(s(s('0'))))|'E'(s(s('0')),f(X0))|'LE'(f(X0),s(s('0'))))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.43 fof(f25,plain,(
% 0.14/0.43 ![A_1]: ((~'E'(s(s('0')),f(A_1))|~'E'(s(s('0')),f(suc(A_1))))|iLEQ(suc(A_1),suc(A_1)))),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.43 fof(f26,plain,(
% 0.14/0.43 ![E,X0]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.43 fof(f27,plain,(
% 0.14/0.43 ![A]: 'LE'(f(A),s(s(s('0'))))),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f7])).
% 0.14/0.43 fof(f28,plain,(
% 0.14/0.43 ![LE,X0]: ('LE'(f(X0),s(s(s('0')))))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.43 fof(f29,plain,(
% 0.14/0.43 ![LE]: (~'LE'(f(z),'0'))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.43 fof(f30,plain,(
% 0.14/0.43 ![B_158]: ((~'LE'(f(suc(B_158)),s(s(s('0'))))|'E'(s(s('0')),f(suc(B_158))))|'LE'(f(B_158),s(s('0'))))),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f9])).
% 0.14/0.43 fof(f31,plain,(
% 0.14/0.43 ![LE,X0,E]: (~'LE'(f(suc(X0)),s(s(s('0'))))|'E'(s(s('0')),f(suc(X0)))|'LE'(f(X0),s(s('0'))))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.43 fof(f32,plain,(
% 0.14/0.43 ![A_1,B_159]: ((![B_163,B_162]: (((![B_161]: (((![B_160]: (((((((((((~'E'(s(s('0')),f(A_1))|~'E'(s(s('0')),f(suc(B_163))))|~'E'(s(s('0')),f(B_159)))|~iLEQ(suc(B_160),suc(B_161)))|~'E'(s(s('0')),f(suc(A_1))))|~'E'(s(s('0')),f(B_162)))|~'E'(s(s('0')),f(B_163)))|~iLEQ(suc(B_159),suc(B_160)))|~'E'(s(s('0')),f(suc(B_161))))|~'E'(s(s('0')),f(suc(B_160))))|~'E'(s(s('0')),f(suc(B_162))))|~'E'(s(s('0')),f(B_160))))|~iLEQ(suc(B_161),suc(B_162)))|~'E'(s(s('0')),f(B_161))))|~'E'(s(s('0')),f(suc(B_159))))|~iLEQ(suc(B_162),suc(B_163))))|~iLEQ(suc(A_1),suc(B_159)))),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f10])).
% 0.14/0.43 fof(f33,plain,(
% 0.14/0.43 ![E,X0,X1,X2,X3,X4,X5]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(X2))|~iLEQ(suc(X3),suc(X4))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X5))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(suc(X4)))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(suc(X5)))|~'E'(s(s('0')),f(X3))|~iLEQ(suc(X4),suc(X5))|~'E'(s(s('0')),f(X4))|~'E'(s(s('0')),f(suc(X2)))|~iLEQ(suc(X5),suc(X1))|~iLEQ(suc(X0),suc(X2)))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.43 fof(f34,plain,(
% 0.14/0.43 ![B_253]: ((~'LE'(f(suc(B_253)),s('0'))|'E'('0',f(suc(B_253))))|'LE'(f(B_253),'0'))),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f11])).
% 0.14/0.43 fof(f35,plain,(
% 0.14/0.43 ![LE,X0,E]: (~'LE'(f(suc(X0)),s('0'))|'E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.43 fof(f36,plain,(
% 0.14/0.43 ![B_228]: ((~'LE'(f(suc(B_228)),s(s('0')))|'E'(s('0'),f(suc(B_228))))|'LE'(f(B_228),s('0')))),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f12])).
% 0.14/0.43 fof(f37,plain,(
% 0.14/0.43 ![LE,X0,E]: (~'LE'(f(suc(X0)),s(s('0')))|'E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/0.43 fof(f38,plain,(
% 0.14/0.43 ![A_2]: ((~'E'(s('0'),f(A_2))|~'E'(s('0'),f(suc(A_2))))|iLEQ(suc(A_2),suc(A_2)))),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f13])).
% 0.14/0.43 fof(f39,plain,(
% 0.14/0.43 ![E,X0]: (~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.43 fof(f40,plain,(
% 0.14/0.43 ![B_257]: ((![B_256]: ((![B_258]: ((![B_255]: ((((![A_3]: ((![B_254]: (((((((((~iLEQ(suc(A_3),suc(B_254))|~'E'('0',f(B_254)))|~'E'('0',f(suc(B_257))))|~iLEQ(suc(B_255),suc(B_256)))|~'E'('0',f(B_258)))|~iLEQ(suc(B_256),suc(B_257)))|~'E'('0',f(A_3)))|~'E'('0',f(B_255)))|~'E'('0',f(suc(B_254))))|~iLEQ(suc(B_254),suc(B_255))))|~'E'('0',f(suc(A_3)))))|~'E'('0',f(suc(B_256))))|~iLEQ(suc(B_257),suc(B_258)))|~'E'('0',f(suc(B_255)))))|~'E'('0',f(suc(B_258)))))|~'E'('0',f(B_256))))|~'E'('0',f(B_257)))),
% 0.14/0.43 inference(miniscoping,[status(thm)],[f14])).
% 0.14/0.43 fof(f41,plain,(
% 0.14/0.43 ![X0,X1,E,X2,X3,X4,X5]: (~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X1))|~'E'('0',f(suc(X2)))|~iLEQ(suc(X3),suc(X4))|~'E'('0',f(X5))|~iLEQ(suc(X4),suc(X2))|~'E'('0',f(X0))|~'E'('0',f(X3))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X1),suc(X3))|~'E'('0',f(suc(X0)))|~'E'('0',f(suc(X4)))|~iLEQ(suc(X2),suc(X5))|~'E'('0',f(suc(X3)))|~'E'('0',f(suc(X5)))|~'E'('0',f(X4))|~'E'('0',f(X2)))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/0.43 fof(f42,plain,(
% 0.14/0.43 ![E,X0,LE]: ('E'(s(s('0')),f(X0))|'LE'(f(X0),s(s('0'))))),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f24,f28])).
% 0.14/0.43 fof(f43,plain,(
% 0.14/0.43 ![E,X0,LE]: ('E'(s(s('0')),f(suc(X0)))|'LE'(f(X0),s(s('0'))))),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f31,f28])).
% 0.14/0.43 fof(f44,plain,(
% 0.14/0.43 ![E,X0,LE]: (~'E'(s(s('0')),f(X0))|iLEQ(suc(X0),suc(X0))|'LE'(f(X0),s(s('0'))))),
% 0.14/0.43 inference(resolution,[status(thm)],[f26,f43])).
% 0.14/0.43 fof(f46,plain,(
% 0.14/0.43 ![X0,LE]: (iLEQ(suc(X0),suc(X0))|'LE'(f(X0),s(s('0'))))),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f44,f42])).
% 0.14/0.43 fof(f47,plain,(
% 0.14/0.43 ![X0,E,LE]: (iLEQ(suc(suc(X0)),suc(suc(X0)))|'E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 0.14/0.43 inference(resolution,[status(thm)],[f46,f37])).
% 0.14/0.43 fof(f48,plain,(
% 0.14/0.43 ![X0,E,LE]: (iLEQ(suc(X0),suc(X0))|'E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.14/0.43 inference(resolution,[status(thm)],[f46,f18])).
% 0.14/0.43 fof(f81,plain,(
% 0.14/0.43 ![E,X0,X1,X2,LE]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(X2))|~iLEQ(suc(X2),suc(X2))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X2),suc(X2))|~'E'(s(s('0')),f(X2))|~iLEQ(suc(X2),suc(X2))|~'E'(s(s('0')),f(X2))|~iLEQ(suc(X2),suc(X1))|~iLEQ(suc(X0),suc(X2))|'LE'(f(X2),s(s('0'))))),
% 0.14/0.43 inference(resolution,[status(thm)],[f33,f43])).
% 0.14/0.43 fof(f95,plain,(
% 0.14/0.43 ![E,X0,X1,X2,LE]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(X2))|~iLEQ(suc(X2),suc(X2))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X2),suc(X1))|~iLEQ(suc(X0),suc(X2))|'LE'(f(X2),s(s('0'))))),
% 0.14/0.43 inference(duplicate_literals_removal,[status(thm)],[f81])).
% 0.14/0.43 fof(f96,plain,(
% 0.14/0.43 ![E,X0,X1,X2,LE]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~iLEQ(suc(X2),suc(X2))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X2),suc(X1))|~iLEQ(suc(X0),suc(X2))|'LE'(f(X2),s(s('0'))))),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f95,f42])).
% 0.14/0.43 fof(f261,plain,(
% 0.14/0.43 ![E,X0,X1,X2,LE]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X2),suc(X1))|~iLEQ(suc(X0),suc(X2))|'LE'(f(X2),s(s('0'))))),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f96,f46])).
% 0.14/0.43 fof(f262,plain,(
% 0.14/0.43 ![E,X0,X1,X2,LE]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X2),suc(X1))|~iLEQ(suc(X0),suc(X2))|'LE'(f(X2),s(s('0')))|'LE'(f(X1),s(s('0'))))),
% 0.14/0.43 inference(resolution,[status(thm)],[f261,f43])).
% 0.14/0.43 fof(f264,plain,(
% 0.14/0.43 ![E,X0,X1,X2,LE]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X1),suc(X2))|~iLEQ(suc(X0),suc(X1))|'LE'(f(X1),s(s('0')))|'LE'(f(X2),s(s('0'))))),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f262,f42])).
% 0.14/0.43 fof(f265,plain,(
% 0.14/0.43 ![E,X0,X1,X2,LE]: (~'E'(s(s('0')),f(X0))|~iLEQ(suc(X1),suc(X2))|~iLEQ(suc(X0),suc(X1))|'LE'(f(X1),s(s('0')))|'LE'(f(X2),s(s('0')))|'LE'(f(X0),s(s('0'))))),
% 0.14/0.43 inference(resolution,[status(thm)],[f264,f43])).
% 0.14/0.43 fof(f267,plain,(
% 0.14/0.43 ![X0,X1,X2,LE]: (~iLEQ(suc(X0),suc(X1))|~iLEQ(suc(X2),suc(X0))|'LE'(f(X0),s(s('0')))|'LE'(f(X1),s(s('0')))|'LE'(f(X2),s(s('0'))))),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f265,f42])).
% 0.14/0.43 fof(f274,plain,(
% 0.14/0.43 ![X0,X1,LE]: (~iLEQ(suc(X0),suc(X1))|'LE'(f(X0),s(s('0')))|'LE'(f(X1),s(s('0')))|'LE'(f(X0),s(s('0')))|'LE'(f(X0),s(s('0'))))),
% 0.14/0.43 inference(resolution,[status(thm)],[f267,f46])).
% 0.14/0.43 fof(f283,plain,(
% 0.14/0.43 ![X0,X1,LE]: (~iLEQ(suc(X0),suc(X1))|'LE'(f(X0),s(s('0')))|'LE'(f(X1),s(s('0'))))),
% 0.14/0.43 inference(duplicate_literals_removal,[status(thm)],[f274])).
% 0.14/0.43 fof(f288,plain,(
% 0.14/0.43 ![LE,X0,E]: ('LE'(f(suc(X0)),s(s('0')))|'LE'(f(suc(X0)),s(s('0')))|'E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 0.14/0.43 inference(resolution,[status(thm)],[f283,f47])).
% 0.14/0.43 fof(f289,plain,(
% 0.14/0.43 ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|'LE'(f(X0),s(s('0')))|'E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.14/0.43 inference(resolution,[status(thm)],[f283,f48])).
% 0.14/0.43 fof(f295,plain,(
% 0.14/0.43 ![LE,X0,E]: ('LE'(f(suc(X0)),s(s('0')))|'E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 0.14/0.43 inference(duplicate_literals_removal,[status(thm)],[f288])).
% 0.14/0.43 fof(f296,plain,(
% 0.14/0.43 ![E,X0,LE]: ('E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f295,f37])).
% 0.14/0.43 fof(f297,plain,(
% 0.14/0.43 ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|'E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.14/0.43 inference(duplicate_literals_removal,[status(thm)],[f289])).
% 0.14/0.43 fof(f298,plain,(
% 0.14/0.43 ![E,X0,LE]: ('E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f297,f18])).
% 0.14/0.43 fof(f323,plain,(
% 0.14/0.43 ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.14/0.43 inference(resolution,[status(thm)],[f296,f39])).
% 0.14/0.43 fof(f324,plain,(
% 0.14/0.43 ![LE,X0,E,X1]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~iLEQ(suc(X0),suc(X0))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(X0))|~iLEQ(suc(X0),suc(X0))|~iLEQ(suc(X0),suc(X0))|~'E'(s('0'),f(X0))|~iLEQ(suc(X0),suc(X1))|~'E'(s('0'),f(X0))|~iLEQ(suc(X0),suc(X0)))),
% 0.14/0.43 inference(resolution,[status(thm)],[f296,f16])).
% 0.14/0.43 fof(f336,plain,(
% 0.14/0.43 ![LE,X0]: ('LE'(f(X0),s('0'))|iLEQ(suc(X0),suc(X0)))),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f323,f298])).
% 0.14/0.43 fof(f337,plain,(
% 0.14/0.43 ![LE,X0,E,X1]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~iLEQ(suc(X0),suc(X0))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(X1))|~iLEQ(suc(X0),suc(X1)))),
% 0.14/0.43 inference(duplicate_literals_removal,[status(thm)],[f324])).
% 0.14/0.43 fof(f338,plain,(
% 0.14/0.43 ![LE,X0,E,X1]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~iLEQ(suc(X0),suc(X0))|~'E'(s('0'),f(X1))|~iLEQ(suc(X0),suc(X1)))),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f337,f298])).
% 0.14/0.43 fof(f387,plain,(
% 0.14/0.43 ![LE,X0,E,X1]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~iLEQ(suc(X0),suc(X1)))),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f338,f336])).
% 0.14/0.43 fof(f388,plain,(
% 0.14/0.43 ![LE,X0,E,X1]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(X1))|~iLEQ(suc(X0),suc(X1))|'LE'(f(X1),s('0')))),
% 0.14/0.43 inference(resolution,[status(thm)],[f387,f296])).
% 0.14/0.43 fof(f390,plain,(
% 0.14/0.43 ![LE,X0,X1]: ('LE'(f(X0),s('0'))|~iLEQ(suc(X0),suc(X1))|'LE'(f(X1),s('0')))),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f388,f298])).
% 0.14/0.43 fof(f392,plain,(
% 0.14/0.43 ![LE,X0]: ('LE'(f(X0),s('0'))|'LE'(f(X0),s('0'))|'LE'(f(X0),s('0')))),
% 0.14/0.43 inference(resolution,[status(thm)],[f390,f336])).
% 0.14/0.43 fof(f394,plain,(
% 0.14/0.43 ![LE,X0]: ('LE'(f(X0),s('0')))),
% 0.14/0.43 inference(duplicate_literals_removal,[status(thm)],[f392])).
% 0.14/0.44 fof(f426,plain,(
% 0.14/0.44 ![E,X0,LE]: ('E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.14/0.44 inference(backward_subsumption_resolution,[status(thm)],[f35,f394])).
% 0.14/0.44 fof(f427,plain,(
% 0.14/0.44 ![E,X0,LE]: ('E'('0',f(X0))|'LE'(f(X0),'0'))),
% 0.14/0.44 inference(backward_subsumption_resolution,[status(thm)],[f22,f394])).
% 0.14/0.44 fof(f447,plain,(
% 0.14/0.44 ![LE,X0,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X0))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X0))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X0))|~'E'('0',f(X0))|~iLEQ(suc(X0),suc(X0))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X0))|~'E'('0',f(X0)))),
% 0.14/0.44 inference(resolution,[status(thm)],[f426,f41])).
% 0.14/0.44 fof(f459,plain,(
% 0.14/0.44 ![LE,X0,E]: ('LE'(f(X0),'0')|~'E'('0',f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.14/0.44 inference(resolution,[status(thm)],[f426,f20])).
% 0.14/0.44 fof(f460,plain,(
% 0.14/0.44 ![LE,X0,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X0)))),
% 0.14/0.44 inference(duplicate_literals_removal,[status(thm)],[f447])).
% 0.14/0.44 fof(f461,plain,(
% 0.14/0.44 ![LE,X0]: ('LE'(f(X0),'0')|~iLEQ(suc(X0),suc(X0)))),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f460,f427])).
% 0.14/0.44 fof(f478,plain,(
% 0.14/0.44 ![LE,X0]: ('LE'(f(X0),'0')|iLEQ(suc(X0),suc(X0)))),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f459,f427])).
% 0.14/0.44 fof(f530,plain,(
% 0.14/0.44 ![LE,X0]: ('LE'(f(X0),'0'))),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f461,f478])).
% 0.14/0.44 fof(f531,plain,(
% 0.14/0.44 $false),
% 0.14/0.44 inference(backward_subsumption_resolution,[status(thm)],[f29,f530])).
% 0.14/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.078332 seconds
% 0.14/0.44 % CPU time: 0.505188 seconds
% 0.14/0.44 % Total memory used: 10.058 MB
% 0.14/0.44 % Net memory used: 9.014 MB
%------------------------------------------------------------------------------