%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO666-1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 03:44:44 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO666-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 12:10:30 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.37 fof(f1,axiom,(
% 0.08/0.37 (![B_96,B_97,E,A_2,B_98,B_94,B_95]: (( ~ iLEQ(suc(B_96),suc(B_97))| ~ 'E'('0',f(suc(A_2)))| ~ 'E'('0',f(suc(B_96)))| ~ iLEQ(suc(B_97),suc(B_98))| ~ 'E'('0',f(suc(B_97)))| ~ 'E'('0',f(A_2))| ~ 'E'('0',f(suc(B_94)))| ~ 'E'('0',f(B_97))| ~ iLEQ(suc(B_95),suc(B_96))| ~ 'E'('0',f(B_96))| ~ iLEQ(suc(B_94),suc(B_95))| ~ 'E'('0',f(suc(B_98)))| ~ 'E'('0',f(B_94))| ~ iLEQ(suc(A_2),suc(B_94))| ~ 'E'('0',f(suc(B_95)))| ~ 'E'('0',f(B_98))| ~ 'E'('0',f(B_95)) ) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f2,axiom,(
% 0.08/0.37 (![E,A_2]: (( ~ 'E'('0',f(A_2))| ~ 'E'('0',f(suc(A_2)))| iLEQ(suc(A_2),suc(A_2)) ) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f3,axiom,(
% 0.08/0.37 (![LE]: (~ 'LE'(f(z),'0') ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f4,axiom,(
% 0.08/0.37 (![LE,B_93,E]: (( ~ 'LE'(f(suc(B_93)),s('0'))| 'E'('0',f(suc(B_93)))| 'LE'(f(B_93),'0') ) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f5,axiom,(
% 0.08/0.37 (![LE,B_93,E]: (( ~ 'LE'(f(B_93),s('0'))| 'E'('0',f(B_93))| 'LE'(f(B_93),'0') ) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f6,axiom,(
% 0.08/0.37 (![LE,A]: ('LE'(f(A),s(s('0'))) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f7,axiom,(
% 0.08/0.37 (![E,A_1]: (( ~ 'E'(s('0'),f(A_1))| ~ 'E'(s('0'),f(suc(A_1)))| iLEQ(suc(A_1),suc(A_1)) ) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f8,axiom,(
% 0.08/0.37 (![LE,B_68,E]: (( ~ 'LE'(f(suc(B_68)),s(s('0')))| 'E'(s('0'),f(suc(B_68)))| 'LE'(f(B_68),s('0')) ) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f9,axiom,(
% 0.08/0.37 (![LE,B_68,E]: (( ~ 'LE'(f(B_68),s(s('0')))| 'E'(s('0'),f(B_68))| 'LE'(f(B_68),s('0')) ) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f10,axiom,(
% 0.08/0.37 (![E,B_69,B_71,B_72,A_1,B_70,B_73]: (( ~ 'E'(s('0'),f(B_69))| ~ iLEQ(suc(B_71),suc(B_72))| ~ 'E'(s('0'),f(A_1))| ~ 'E'(s('0'),f(suc(A_1)))| ~ iLEQ(suc(B_70),suc(B_71))| ~ 'E'(s('0'),f(B_71))| ~ 'E'(s('0'),f(suc(B_71)))| ~ iLEQ(suc(B_69),suc(B_70))| ~ 'E'(s('0'),f(suc(B_69)))| ~ iLEQ(suc(B_72),suc(B_73))| ~ 'E'(s('0'),f(suc(B_70)))| ~ 'E'(s('0'),f(B_73))| ~ 'E'(s('0'),f(suc(B_72)))| ~ iLEQ(suc(A_1),suc(B_69))| ~ 'E'(s('0'),f(B_70))| ~ 'E'(s('0'),f(B_72))| ~ 'E'(s('0'),f(suc(B_73))) ) ))),
% 0.08/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f11,plain,(
% 0.08/0.37 ![B_95]: ((![B_98]: (((![A_2,B_94]: (((((![B_96]: (((![B_97]: (((((((~iLEQ(suc(B_96),suc(B_97))|~'E'('0',f(suc(A_2))))|~'E'('0',f(suc(B_96))))|~iLEQ(suc(B_97),suc(B_98)))|~'E'('0',f(suc(B_97))))|~'E'('0',f(A_2)))|~'E'('0',f(suc(B_94))))|~'E'('0',f(B_97))))|~iLEQ(suc(B_95),suc(B_96)))|~'E'('0',f(B_96))))|~iLEQ(suc(B_94),suc(B_95)))|~'E'('0',f(suc(B_98))))|~'E'('0',f(B_94)))|~iLEQ(suc(A_2),suc(B_94))))|~'E'('0',f(suc(B_95))))|~'E'('0',f(B_98))))|~'E'('0',f(B_95)))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f1])).
% 0.08/0.37 fof(f12,plain,(
% 0.08/0.37 ![X0,X1,E,X2,X3,X4,X5]: (~iLEQ(suc(X0),suc(X1))|~'E'('0',f(suc(X2)))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X3))|~'E'('0',f(suc(X1)))|~'E'('0',f(X2))|~'E'('0',f(suc(X4)))|~'E'('0',f(X1))|~iLEQ(suc(X5),suc(X0))|~'E'('0',f(X0))|~iLEQ(suc(X4),suc(X5))|~'E'('0',f(suc(X3)))|~'E'('0',f(X4))|~iLEQ(suc(X2),suc(X4))|~'E'('0',f(suc(X5)))|~'E'('0',f(X3))|~'E'('0',f(X5)))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/0.37 fof(f13,plain,(
% 0.08/0.37 ![A_2]: ((~'E'('0',f(A_2))|~'E'('0',f(suc(A_2))))|iLEQ(suc(A_2),suc(A_2)))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f2])).
% 0.08/0.37 fof(f14,plain,(
% 0.08/0.37 ![E,X0]: (~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.08/0.37 fof(f15,plain,(
% 0.08/0.37 ![LE]: (~'LE'(f(z),'0'))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.37 fof(f16,plain,(
% 0.08/0.37 ![B_93]: ((~'LE'(f(suc(B_93)),s('0'))|'E'('0',f(suc(B_93))))|'LE'(f(B_93),'0'))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f4])).
% 0.08/0.37 fof(f17,plain,(
% 0.08/0.37 ![LE,X0,E]: (~'LE'(f(suc(X0)),s('0'))|'E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f16])).
% 0.08/0.37 fof(f18,plain,(
% 0.08/0.37 ![B_93]: ((~'LE'(f(B_93),s('0'))|'E'('0',f(B_93)))|'LE'(f(B_93),'0'))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f5])).
% 0.08/0.37 fof(f19,plain,(
% 0.08/0.37 ![LE,X0,E]: (~'LE'(f(X0),s('0'))|'E'('0',f(X0))|'LE'(f(X0),'0'))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f18])).
% 0.08/0.37 fof(f20,plain,(
% 0.08/0.37 ![A]: 'LE'(f(A),s(s('0')))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f6])).
% 0.08/0.37 fof(f21,plain,(
% 0.08/0.37 ![LE,X0]: ('LE'(f(X0),s(s('0'))))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f20])).
% 0.08/0.37 fof(f22,plain,(
% 0.08/0.37 ![A_1]: ((~'E'(s('0'),f(A_1))|~'E'(s('0'),f(suc(A_1))))|iLEQ(suc(A_1),suc(A_1)))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f7])).
% 0.08/0.37 fof(f23,plain,(
% 0.08/0.37 ![E,X0]: (~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f22])).
% 0.08/0.37 fof(f24,plain,(
% 0.08/0.37 ![B_68]: ((~'LE'(f(suc(B_68)),s(s('0')))|'E'(s('0'),f(suc(B_68))))|'LE'(f(B_68),s('0')))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f8])).
% 0.08/0.37 fof(f25,plain,(
% 0.08/0.37 ![LE,X0,E]: (~'LE'(f(suc(X0)),s(s('0')))|'E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f24])).
% 0.08/0.37 fof(f26,plain,(
% 0.08/0.37 ![B_68]: ((~'LE'(f(B_68),s(s('0')))|'E'(s('0'),f(B_68)))|'LE'(f(B_68),s('0')))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f9])).
% 0.08/0.37 fof(f27,plain,(
% 0.08/0.37 ![LE,X0,E]: (~'LE'(f(X0),s(s('0')))|'E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f26])).
% 0.08/0.37 fof(f28,plain,(
% 0.08/0.37 ![B_73]: ((![B_72]: ((![B_70]: ((![B_69,A_1]: ((((((((![B_71]: ((((((~'E'(s('0'),f(B_69))|~iLEQ(suc(B_71),suc(B_72)))|~'E'(s('0'),f(A_1)))|~'E'(s('0'),f(suc(A_1))))|~iLEQ(suc(B_70),suc(B_71)))|~'E'(s('0'),f(B_71)))|~'E'(s('0'),f(suc(B_71)))))|~iLEQ(suc(B_69),suc(B_70)))|~'E'(s('0'),f(suc(B_69))))|~iLEQ(suc(B_72),suc(B_73)))|~'E'(s('0'),f(suc(B_70))))|~'E'(s('0'),f(B_73)))|~'E'(s('0'),f(suc(B_72))))|~iLEQ(suc(A_1),suc(B_69))))|~'E'(s('0'),f(B_70))))|~'E'(s('0'),f(B_72))))|~'E'(s('0'),f(suc(B_73))))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f10])).
% 0.08/0.37 fof(f29,plain,(
% 0.08/0.37 ![E,X0,X1,X2,X3,X4,X5]: (~'E'(s('0'),f(X0))|~iLEQ(suc(X1),suc(X2))|~'E'(s('0'),f(X3))|~'E'(s('0'),f(suc(X3)))|~iLEQ(suc(X4),suc(X1))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X1)))|~iLEQ(suc(X0),suc(X4))|~'E'(s('0'),f(suc(X0)))|~iLEQ(suc(X2),suc(X5))|~'E'(s('0'),f(suc(X4)))|~'E'(s('0'),f(X5))|~'E'(s('0'),f(suc(X2)))|~iLEQ(suc(X3),suc(X0))|~'E'(s('0'),f(X4))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X5))))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f28])).
% 0.08/0.37 fof(f30,plain,(
% 0.08/0.37 ![E,X0,LE]: ('E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f25,f21])).
% 0.08/0.37 fof(f31,plain,(
% 0.08/0.37 ![E,X0,LE]: ('E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f27,f21])).
% 0.08/0.37 fof(f34,plain,(
% 0.08/0.37 ![E,X0]: (~'E'(s('0'),f(X0))|~iLEQ(suc(X0),suc(X0))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|~iLEQ(suc(X0),suc(X0))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0))))),
% 0.08/0.37 inference(resolution,[status(thm)],[f29,f23])).
% 0.08/0.37 fof(f39,plain,(
% 0.08/0.37 ![E,X0]: (~'E'(s('0'),f(X0))|~iLEQ(suc(X0),suc(X0))|~'E'(s('0'),f(suc(X0))))),
% 0.08/0.37 inference(duplicate_literals_removal,[status(thm)],[f34])).
% 0.08/0.37 fof(f40,plain,(
% 0.08/0.37 ![E,X0]: (~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0))))),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f39,f23])).
% 0.08/0.37 fof(f46,plain,(
% 0.08/0.37 ![E,X0,LE]: (~'E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.08/0.37 inference(resolution,[status(thm)],[f40,f30])).
% 0.08/0.37 fof(f48,plain,(
% 0.08/0.37 ![E,X0,LE]: ('E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.08/0.37 inference(backward_subsumption_resolution,[status(thm)],[f17,f50])).
% 0.08/0.37 fof(f49,plain,(
% 0.08/0.37 ![E,X0,LE]: ('E'('0',f(X0))|'LE'(f(X0),'0'))),
% 0.08/0.37 inference(backward_subsumption_resolution,[status(thm)],[f19,f50])).
% 0.08/0.37 fof(f50,plain,(
% 0.08/0.37 ![LE,X0]: ('LE'(f(X0),s('0')))),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f46,f31])).
% 0.08/0.37 fof(f51,plain,(
% 0.08/0.37 ![LE,X0,E]: ('LE'(f(X0),'0')|~'E'('0',f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.08/0.37 inference(resolution,[status(thm)],[f48,f14])).
% 0.08/0.37 fof(f52,plain,(
% 0.08/0.37 ![LE,X0,X1,X2,E,X3]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X2))|~'E'('0',f(suc(X3)))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X2),suc(X0))|~'E'('0',f(suc(X2)))|~'E'('0',f(X3))|~'E'('0',f(X2))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X1))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X0))|~iLEQ(suc(X3),suc(X0))|~'E'('0',f(X0))|~'E'('0',f(X0)))),
% 0.08/0.37 inference(resolution,[status(thm)],[f48,f12])).
% 0.08/0.37 fof(f58,plain,(
% 0.08/0.37 ![LE,X0]: ('LE'(f(X0),'0')|iLEQ(suc(X0),suc(X0)))),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f51,f49])).
% 0.08/0.37 fof(f59,plain,(
% 0.08/0.37 ![LE,X0,X1,X2,E,X3]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X2))|~'E'('0',f(suc(X3)))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X2),suc(X0))|~'E'('0',f(suc(X2)))|~'E'('0',f(X3))|~'E'('0',f(X2))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X1))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X0))|~iLEQ(suc(X3),suc(X0)))),
% 0.08/0.37 inference(duplicate_literals_removal,[status(thm)],[f52])).
% 0.08/0.37 fof(f60,plain,(
% 0.08/0.37 ![LE,X0,X1,X2,E,X3]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X2))|~'E'('0',f(suc(X3)))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X2),suc(X0))|~'E'('0',f(suc(X2)))|~'E'('0',f(X3))|~'E'('0',f(X2))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X1))|~'E'('0',f(X0))|~iLEQ(suc(X3),suc(X0)))),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f59,f58])).
% 0.08/0.37 fof(f67,plain,(
% 0.08/0.37 ![LE,X0,X1,E]: ('LE'(f(X0),'0')|'LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|~'E'('0',f(X0))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X1))|~'E'('0',f(X0)))),
% 0.08/0.37 inference(resolution,[status(thm)],[f58,f60])).
% 0.08/0.37 fof(f71,plain,(
% 0.08/0.37 ![LE,X0,X1,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(suc(X1)))|~'E'('0',f(X0))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X1)))),
% 0.08/0.37 inference(duplicate_literals_removal,[status(thm)],[f67])).
% 0.08/0.37 fof(f72,plain,(
% 0.08/0.37 ![LE,X0,X1,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X1)))),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f71,f49])).
% 0.08/0.37 fof(f77,plain,(
% 0.08/0.37 ![LE,X0,X1,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X1))|'LE'(f(X1),'0'))),
% 0.08/0.37 inference(resolution,[status(thm)],[f72,f48])).
% 0.08/0.37 fof(f78,plain,(
% 0.08/0.37 ![LE,X0,X1,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|'LE'(f(X1),'0'))),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f77,f49])).
% 0.08/0.37 fof(f79,plain,(
% 0.08/0.37 ![LE,X0,X1]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X0))|~iLEQ(suc(X0),suc(X1))|'LE'(f(X1),'0')|'LE'(f(X0),'0'))),
% 0.08/0.37 inference(resolution,[status(thm)],[f78,f48])).
% 0.08/0.37 fof(f80,plain,(
% 0.08/0.37 ![LE,X0,X1]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X0))|~iLEQ(suc(X0),suc(X1))|'LE'(f(X1),'0'))),
% 0.08/0.37 inference(duplicate_literals_removal,[status(thm)],[f79])).
% 0.08/0.37 fof(f81,plain,(
% 0.08/0.37 ![LE,X0]: ('LE'(f(X0),'0')|~iLEQ(suc(X0),suc(X0))|'LE'(f(X0),'0')|'LE'(f(X0),'0'))),
% 0.08/0.37 inference(resolution,[status(thm)],[f80,f58])).
% 0.08/0.37 fof(f82,plain,(
% 0.08/0.37 ![LE,X0]: ('LE'(f(X0),'0')|~iLEQ(suc(X0),suc(X0)))),
% 0.08/0.37 inference(duplicate_literals_removal,[status(thm)],[f81])).
% 0.08/0.37 fof(f84,plain,(
% 0.08/0.37 ![LE,X0]: ('LE'(f(X0),'0'))),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f82,f58])).
% 0.08/0.37 fof(f85,plain,(
% 0.08/0.37 $false),
% 0.08/0.37 inference(backward_subsumption_resolution,[status(thm)],[f15,f84])).
% 0.08/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.029765 seconds
% 0.12/0.39 % CPU time: 0.049622 seconds
% 0.12/0.39 % Total memory used: 1.393 MB
% 0.12/0.39 % Net memory used: 1.253 MB
%------------------------------------------------------------------------------