%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO675-1 : 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 : n008.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 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO675-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 12:09:24 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,axiom,(
% 0.10/0.39 (![E,A_4]: (( ~ 'E'(f(A_4),f(suc(A_4)))| ~ 'E'('0',f(suc(suc(suc(A_4)))))| ~ 'E'('0',f(suc(suc(A_4))))| ~ 'E'('0',f(suc(A_4)))| ~ 'E'(f(A_4),f(suc(suc(A_4))))| ~ 'E'('0',f(A_4)) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f2,axiom,(
% 0.10/0.39 (![LE,B_1,E]: (( ~ 'LE'(f(suc(suc(B_1))),s(s('0')))| 'E'(s('0'),f(suc(suc(B_1))))| 'LE'(f(B_1),s('0')) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f3,axiom,(
% 0.10/0.39 (![LE,B_2,E]: (( ~ 'LE'(f(suc(suc(suc(B_2)))),s('0'))| 'E'('0',f(suc(suc(suc(B_2)))))| 'LE'(f(B_2),'0') ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f4,axiom,(
% 0.10/0.39 (![E,A_1]: (( ~ 'E'(s(s(s('0'))),f(suc(suc(A_1))))| ~ 'E'(s(s(s('0'))),f(suc(A_1)))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'(s(s(s('0'))),f(A_1))| 'E'(f(A_1),f(suc(suc(A_1)))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f5,axiom,(
% 0.10/0.39 (![LE,B_0,E]: (( ~ 'LE'(f(suc(suc(suc(B_0)))),s(s(s('0'))))| 'E'(s(s('0')),f(suc(suc(suc(B_0)))))| 'LE'(f(B_0),s(s('0'))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f6,axiom,(
% 0.10/0.39 (![LE,B_2,E]: (( ~ 'LE'(f(suc(B_2)),s('0'))| 'E'('0',f(suc(B_2)))| 'LE'(f(B_2),'0') ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f7,axiom,(
% 0.10/0.39 (![E,A_2]: (( ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(s(s('0')),f(suc(A_2)))| 'E'(f(A_2),f(suc(A_2))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f8,axiom,(
% 0.10/0.39 (![LE,B_0,E]: (( ~ 'LE'(f(B_0),s(s(s('0'))))| 'E'(s(s('0')),f(B_0))| 'LE'(f(B_0),s(s('0'))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f9,axiom,(
% 0.10/0.39 (![E,A_4]: (( ~ 'E'('0',f(A_4))| ~ 'E'('0',f(suc(A_4)))| 'E'(f(A_4),f(suc(A_4))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f10,axiom,(
% 0.10/0.39 (![LE,B_1,E]: (( ~ 'LE'(f(suc(B_1)),s(s('0')))| 'E'(s('0'),f(suc(B_1)))| 'LE'(f(B_1),s('0')) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f11,axiom,(
% 0.10/0.39 (![LE,B_0,E]: (( ~ 'LE'(f(suc(suc(B_0))),s(s(s('0'))))| 'E'(s(s('0')),f(suc(suc(B_0))))| 'LE'(f(B_0),s(s('0'))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f12,axiom,(
% 0.10/0.39 (![LE,B_0,E]: (( ~ 'LE'(f(suc(B_0)),s(s(s('0'))))| 'E'(s(s('0')),f(suc(B_0)))| 'LE'(f(B_0),s(s('0'))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f13,axiom,(
% 0.10/0.39 (![E,A_2]: (( ~ 'E'(s(s('0')),f(suc(suc(A_2))))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ 'E'(f(A_2),f(suc(A_2)))| ~ 'E'(s(s('0')),f(A_2))| 'E'(f(A_2),f(suc(suc(A_2)))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f14,axiom,(
% 0.10/0.39 (![E,A_1]: (( ~ 'E'(s(s(s('0'))),f(A_1))| ~ 'E'(s(s(s('0'))),f(suc(A_1)))| 'E'(f(A_1),f(suc(A_1))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f15,axiom,(
% 0.10/0.39 (![LE,B_2,E]: (( ~ 'LE'(f(suc(suc(B_2))),s('0'))| 'E'('0',f(suc(suc(B_2))))| 'LE'(f(B_2),'0') ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f16,axiom,(
% 0.10/0.39 (![E,A_3]: (( ~ 'E'(s('0'),f(A_3))| ~ 'E'(s('0'),f(suc(A_3)))| 'E'(f(A_3),f(suc(A_3))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f17,axiom,(
% 0.10/0.39 (![E,A_2]: (( ~ 'E'(f(A_2),f(suc(suc(A_2))))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ 'E'(s(s('0')),f(suc(suc(A_2))))| ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(s(s('0')),f(suc(suc(suc(A_2)))))| ~ 'E'(f(A_2),f(suc(A_2))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f18,axiom,(
% 0.10/0.39 (![LE]: (~ 'LE'(f(z),'0') ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f19,axiom,(
% 0.10/0.39 (![LE,B,E]: (( ~ 'LE'(f(suc(suc(B))),s(s(s(s('0')))))| 'E'(s(s(s('0'))),f(suc(suc(B))))| 'LE'(f(B),s(s(s('0')))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f20,axiom,(
% 0.10/0.39 (![LE,B,E]: (( ~ 'LE'(f(B),s(s(s(s('0')))))| 'E'(s(s(s('0'))),f(B))| 'LE'(f(B),s(s(s('0')))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f21,axiom,(
% 0.10/0.39 (![LE,B_1,E]: (( ~ 'LE'(f(suc(suc(suc(B_1)))),s(s('0')))| 'E'(s('0'),f(suc(suc(suc(B_1)))))| 'LE'(f(B_1),s('0')) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f22,axiom,(
% 0.10/0.39 (![E,A_3]: (( ~ 'E'(f(A_3),f(suc(suc(A_3))))| ~ 'E'(s('0'),f(suc(suc(suc(A_3)))))| ~ 'E'(s('0'),f(suc(A_3)))| ~ 'E'(f(A_3),f(suc(A_3)))| ~ 'E'(s('0'),f(A_3))| ~ 'E'(s('0'),f(suc(suc(A_3)))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f23,axiom,(
% 0.10/0.39 (![LE,B_2,E]: (( ~ 'LE'(f(B_2),s('0'))| 'E'('0',f(B_2))| 'LE'(f(B_2),'0') ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f24,axiom,(
% 0.10/0.39 (![E,A_1]: (( ~ 'E'(s(s(s('0'))),f(suc(suc(suc(A_1)))))| ~ 'E'(s(s(s('0'))),f(A_1))| ~ 'E'(s(s(s('0'))),f(suc(suc(A_1))))| ~ 'E'(f(A_1),f(suc(suc(A_1))))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'(s(s(s('0'))),f(suc(A_1))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f25,axiom,(
% 0.10/0.39 (![LE,B,E]: (( ~ 'LE'(f(suc(B)),s(s(s(s('0')))))| 'E'(s(s(s('0'))),f(suc(B)))| 'LE'(f(B),s(s(s('0')))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f26,axiom,(
% 0.10/0.39 (![LE,B_1,E]: (( ~ 'LE'(f(B_1),s(s('0')))| 'E'(s('0'),f(B_1))| 'LE'(f(B_1),s('0')) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f27,axiom,(
% 0.10/0.39 (![E,A_4]: (( ~ 'E'('0',f(suc(suc(A_4))))| ~ 'E'('0',f(suc(A_4)))| ~ 'E'(f(A_4),f(suc(A_4)))| ~ 'E'('0',f(A_4))| 'E'(f(A_4),f(suc(suc(A_4)))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f28,axiom,(
% 0.10/0.39 (![LE,B,E]: (( ~ 'LE'(f(suc(suc(suc(B)))),s(s(s(s('0')))))| 'E'(s(s(s('0'))),f(suc(suc(suc(B)))))| 'LE'(f(B),s(s(s('0')))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f29,axiom,(
% 0.10/0.39 (![E,A_3]: (( ~ 'E'(s('0'),f(suc(suc(A_3))))| ~ 'E'(s('0'),f(suc(A_3)))| ~ 'E'(f(A_3),f(suc(A_3)))| ~ 'E'(s('0'),f(A_3))| 'E'(f(A_3),f(suc(suc(A_3)))) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f30,axiom,(
% 0.10/0.39 (![LE,A]: ('LE'(f(A),s(s(s(s('0'))))) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f31,plain,(
% 0.10/0.39 ![A_4]: (((((~'E'(f(A_4),f(suc(A_4)))|~'E'('0',f(suc(suc(suc(A_4))))))|~'E'('0',f(suc(suc(A_4)))))|~'E'('0',f(suc(A_4))))|~'E'(f(A_4),f(suc(suc(A_4)))))|~'E'('0',f(A_4)))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f1])).
% 0.10/0.39 fof(f32,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(f(X0),f(suc(X0)))|~'E'('0',f(suc(suc(suc(X0)))))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'(f(X0),f(suc(suc(X0))))|~'E'('0',f(X0)))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.39 fof(f33,plain,(
% 0.10/0.39 ![B_1]: ((~'LE'(f(suc(suc(B_1))),s(s('0')))|'E'(s('0'),f(suc(suc(B_1)))))|'LE'(f(B_1),s('0')))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f2])).
% 0.10/0.39 fof(f34,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s(s('0')))|'E'(s('0'),f(suc(suc(X0))))|'LE'(f(X0),s('0')))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/0.39 fof(f35,plain,(
% 0.10/0.39 ![B_2]: ((~'LE'(f(suc(suc(suc(B_2)))),s('0'))|'E'('0',f(suc(suc(suc(B_2))))))|'LE'(f(B_2),'0'))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f3])).
% 0.10/0.39 fof(f36,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(suc(suc(suc(X0)))),s('0'))|'E'('0',f(suc(suc(suc(X0)))))|'LE'(f(X0),'0'))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f35])).
% 0.10/0.39 fof(f37,plain,(
% 0.10/0.39 ![A_1]: ((((~'E'(s(s(s('0'))),f(suc(suc(A_1))))|~'E'(s(s(s('0'))),f(suc(A_1))))|~'E'(f(A_1),f(suc(A_1))))|~'E'(s(s(s('0'))),f(A_1)))|'E'(f(A_1),f(suc(suc(A_1)))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f4])).
% 0.10/0.39 fof(f38,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0))|'E'(f(X0),f(suc(suc(X0)))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.10/0.39 fof(f39,plain,(
% 0.10/0.39 ![B_0]: ((~'LE'(f(suc(suc(suc(B_0)))),s(s(s('0'))))|'E'(s(s('0')),f(suc(suc(suc(B_0))))))|'LE'(f(B_0),s(s('0'))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f5])).
% 0.10/0.39 fof(f40,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(suc(suc(suc(X0)))),s(s(s('0'))))|'E'(s(s('0')),f(suc(suc(suc(X0)))))|'LE'(f(X0),s(s('0'))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f39])).
% 0.10/0.39 fof(f41,plain,(
% 0.10/0.39 ![B_2]: ((~'LE'(f(suc(B_2)),s('0'))|'E'('0',f(suc(B_2))))|'LE'(f(B_2),'0'))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.10/0.39 fof(f42,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(suc(X0)),s('0'))|'E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f41])).
% 0.10/0.39 fof(f43,plain,(
% 0.10/0.39 ![A_2]: ((~'E'(s(s('0')),f(A_2))|~'E'(s(s('0')),f(suc(A_2))))|'E'(f(A_2),f(suc(A_2))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f7])).
% 0.10/0.39 fof(f44,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X0)))|'E'(f(X0),f(suc(X0))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f43])).
% 0.10/0.39 fof(f45,plain,(
% 0.10/0.39 ![B_0]: ((~'LE'(f(B_0),s(s(s('0'))))|'E'(s(s('0')),f(B_0)))|'LE'(f(B_0),s(s('0'))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f8])).
% 0.10/0.39 fof(f46,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(X0),s(s(s('0'))))|'E'(s(s('0')),f(X0))|'LE'(f(X0),s(s('0'))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f45])).
% 0.10/0.39 fof(f47,plain,(
% 0.10/0.39 ![A_4]: ((~'E'('0',f(A_4))|~'E'('0',f(suc(A_4))))|'E'(f(A_4),f(suc(A_4))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f9])).
% 0.10/0.39 fof(f48,plain,(
% 0.10/0.39 ![E,X0]: (~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|'E'(f(X0),f(suc(X0))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f47])).
% 0.10/0.39 fof(f49,plain,(
% 0.10/0.39 ![B_1]: ((~'LE'(f(suc(B_1)),s(s('0')))|'E'(s('0'),f(suc(B_1))))|'LE'(f(B_1),s('0')))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f10])).
% 0.10/0.39 fof(f50,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(suc(X0)),s(s('0')))|'E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f49])).
% 0.10/0.39 fof(f51,plain,(
% 0.10/0.39 ![B_0]: ((~'LE'(f(suc(suc(B_0))),s(s(s('0'))))|'E'(s(s('0')),f(suc(suc(B_0)))))|'LE'(f(B_0),s(s('0'))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f11])).
% 0.10/0.39 fof(f52,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s(s(s('0'))))|'E'(s(s('0')),f(suc(suc(X0))))|'LE'(f(X0),s(s('0'))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f51])).
% 0.10/0.39 fof(f53,plain,(
% 0.10/0.39 ![B_0]: ((~'LE'(f(suc(B_0)),s(s(s('0'))))|'E'(s(s('0')),f(suc(B_0))))|'LE'(f(B_0),s(s('0'))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f12])).
% 0.10/0.39 fof(f54,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(suc(X0)),s(s(s('0'))))|'E'(s(s('0')),f(suc(X0)))|'LE'(f(X0),s(s('0'))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f53])).
% 0.10/0.39 fof(f55,plain,(
% 0.10/0.39 ![A_2]: ((((~'E'(s(s('0')),f(suc(suc(A_2))))|~'E'(s(s('0')),f(suc(A_2))))|~'E'(f(A_2),f(suc(A_2))))|~'E'(s(s('0')),f(A_2)))|'E'(f(A_2),f(suc(suc(A_2)))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f13])).
% 0.10/0.39 fof(f56,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(s(s('0')),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~'E'(s(s('0')),f(X0))|'E'(f(X0),f(suc(suc(X0)))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f55])).
% 0.10/0.39 fof(f57,plain,(
% 0.10/0.39 ![A_1]: ((~'E'(s(s(s('0'))),f(A_1))|~'E'(s(s(s('0'))),f(suc(A_1))))|'E'(f(A_1),f(suc(A_1))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f14])).
% 0.10/0.39 fof(f58,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X0)))|'E'(f(X0),f(suc(X0))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f57])).
% 0.10/0.39 fof(f59,plain,(
% 0.10/0.39 ![B_2]: ((~'LE'(f(suc(suc(B_2))),s('0'))|'E'('0',f(suc(suc(B_2)))))|'LE'(f(B_2),'0'))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f15])).
% 0.10/0.39 fof(f60,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s('0'))|'E'('0',f(suc(suc(X0))))|'LE'(f(X0),'0'))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f59])).
% 0.10/0.39 fof(f61,plain,(
% 0.10/0.39 ![A_3]: ((~'E'(s('0'),f(A_3))|~'E'(s('0'),f(suc(A_3))))|'E'(f(A_3),f(suc(A_3))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f16])).
% 0.10/0.39 fof(f62,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|'E'(f(X0),f(suc(X0))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f61])).
% 0.10/0.39 fof(f63,plain,(
% 0.10/0.39 ![A_2]: (((((~'E'(f(A_2),f(suc(suc(A_2))))|~'E'(s(s('0')),f(suc(A_2))))|~'E'(s(s('0')),f(suc(suc(A_2)))))|~'E'(s(s('0')),f(A_2)))|~'E'(s(s('0')),f(suc(suc(suc(A_2))))))|~'E'(f(A_2),f(suc(A_2))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f17])).
% 0.10/0.39 fof(f64,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(f(X0),f(suc(suc(X0))))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(suc(suc(X0)))))|~'E'(f(X0),f(suc(X0))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f63])).
% 0.10/0.39 fof(f65,plain,(
% 0.10/0.39 ![LE]: (~'LE'(f(z),'0'))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.39 fof(f66,plain,(
% 0.10/0.39 ![B]: ((~'LE'(f(suc(suc(B))),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(suc(suc(B)))))|'LE'(f(B),s(s(s('0')))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f19])).
% 0.10/0.39 fof(f67,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(suc(suc(X0))))|'LE'(f(X0),s(s(s('0')))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f66])).
% 0.10/0.39 fof(f68,plain,(
% 0.10/0.39 ![B]: ((~'LE'(f(B),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(B)))|'LE'(f(B),s(s(s('0')))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f20])).
% 0.10/0.39 fof(f69,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(X0),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(X0))|'LE'(f(X0),s(s(s('0')))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f68])).
% 0.10/0.39 fof(f70,plain,(
% 0.10/0.39 ![B_1]: ((~'LE'(f(suc(suc(suc(B_1)))),s(s('0')))|'E'(s('0'),f(suc(suc(suc(B_1))))))|'LE'(f(B_1),s('0')))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f21])).
% 0.10/0.39 fof(f71,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(suc(suc(suc(X0)))),s(s('0')))|'E'(s('0'),f(suc(suc(suc(X0)))))|'LE'(f(X0),s('0')))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f70])).
% 0.10/0.39 fof(f72,plain,(
% 0.10/0.39 ![A_3]: (((((~'E'(f(A_3),f(suc(suc(A_3))))|~'E'(s('0'),f(suc(suc(suc(A_3))))))|~'E'(s('0'),f(suc(A_3))))|~'E'(f(A_3),f(suc(A_3))))|~'E'(s('0'),f(A_3)))|~'E'(s('0'),f(suc(suc(A_3)))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f22])).
% 0.10/0.39 fof(f73,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(f(X0),f(suc(suc(X0))))|~'E'(s('0'),f(suc(suc(suc(X0)))))|~'E'(s('0'),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(suc(X0)))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f72])).
% 0.10/0.39 fof(f74,plain,(
% 0.10/0.39 ![B_2]: ((~'LE'(f(B_2),s('0'))|'E'('0',f(B_2)))|'LE'(f(B_2),'0'))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f23])).
% 0.10/0.39 fof(f75,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(X0),s('0'))|'E'('0',f(X0))|'LE'(f(X0),'0'))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f74])).
% 0.10/0.39 fof(f76,plain,(
% 0.10/0.39 ![A_1]: (((((~'E'(s(s(s('0'))),f(suc(suc(suc(A_1)))))|~'E'(s(s(s('0'))),f(A_1)))|~'E'(s(s(s('0'))),f(suc(suc(A_1)))))|~'E'(f(A_1),f(suc(suc(A_1)))))|~'E'(f(A_1),f(suc(A_1))))|~'E'(s(s(s('0'))),f(suc(A_1))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f24])).
% 0.10/0.39 fof(f77,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(s(s(s('0'))),f(suc(suc(suc(X0)))))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(f(X0),f(suc(suc(X0))))|~'E'(f(X0),f(suc(X0)))|~'E'(s(s(s('0'))),f(suc(X0))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f76])).
% 0.10/0.39 fof(f78,plain,(
% 0.10/0.39 ![B]: ((~'LE'(f(suc(B)),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(suc(B))))|'LE'(f(B),s(s(s('0')))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f25])).
% 0.10/0.39 fof(f79,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(suc(X0)),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(suc(X0)))|'LE'(f(X0),s(s(s('0')))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f78])).
% 0.10/0.39 fof(f80,plain,(
% 0.10/0.39 ![B_1]: ((~'LE'(f(B_1),s(s('0')))|'E'(s('0'),f(B_1)))|'LE'(f(B_1),s('0')))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f26])).
% 0.10/0.39 fof(f81,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(X0),s(s('0')))|'E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f80])).
% 0.10/0.39 fof(f82,plain,(
% 0.10/0.39 ![A_4]: ((((~'E'('0',f(suc(suc(A_4))))|~'E'('0',f(suc(A_4))))|~'E'(f(A_4),f(suc(A_4))))|~'E'('0',f(A_4)))|'E'(f(A_4),f(suc(suc(A_4)))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f27])).
% 0.10/0.39 fof(f83,plain,(
% 0.10/0.39 ![E,X0]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X0))|'E'(f(X0),f(suc(suc(X0)))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f82])).
% 0.10/0.39 fof(f84,plain,(
% 0.10/0.39 ![B]: ((~'LE'(f(suc(suc(suc(B)))),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(suc(suc(suc(B))))))|'LE'(f(B),s(s(s('0')))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f28])).
% 0.10/0.39 fof(f85,plain,(
% 0.10/0.39 ![LE,X0,E]: (~'LE'(f(suc(suc(suc(X0)))),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(suc(suc(suc(X0)))))|'LE'(f(X0),s(s(s('0')))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f84])).
% 0.10/0.39 fof(f86,plain,(
% 0.10/0.39 ![A_3]: ((((~'E'(s('0'),f(suc(suc(A_3))))|~'E'(s('0'),f(suc(A_3))))|~'E'(f(A_3),f(suc(A_3))))|~'E'(s('0'),f(A_3)))|'E'(f(A_3),f(suc(suc(A_3)))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f29])).
% 0.10/0.39 fof(f87,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(X0))|'E'(f(X0),f(suc(suc(X0)))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f86])).
% 0.10/0.39 fof(f88,plain,(
% 0.10/0.39 ![A]: 'LE'(f(A),s(s(s(s('0')))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f30])).
% 0.10/0.39 fof(f89,plain,(
% 0.10/0.39 ![LE,X0]: ('LE'(f(X0),s(s(s(s('0'))))))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f88])).
% 0.10/0.39 fof(f90,plain,(
% 0.10/0.39 ![E,X0]: (~'E'('0',f(suc(suc(suc(X0)))))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'(f(X0),f(suc(suc(X0))))|~'E'('0',f(X0)))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f32,f48])).
% 0.10/0.39 fof(f91,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X0))|'E'(f(X0),f(suc(suc(X0)))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f56,f44])).
% 0.10/0.39 fof(f92,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0))|'E'(f(X0),f(suc(suc(X0)))))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f38,f58])).
% 0.10/0.39 fof(f93,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(suc(suc(X0)))))|~'E'(f(X0),f(suc(X0))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f64,f91])).
% 0.10/0.39 fof(f94,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'(s(s(s('0'))),f(X0))|'LE'(f(X0),s(s(s('0')))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f69,f89])).
% 0.10/0.39 fof(f99,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'(s(s(s('0'))),f(suc(suc(X0))))|'LE'(f(X0),s(s(s('0')))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f67,f89])).
% 0.10/0.39 fof(f102,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(f(X0),f(suc(suc(X0))))|~'E'(s('0'),f(suc(suc(suc(X0)))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(suc(X0)))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f73,f62])).
% 0.10/0.39 fof(f103,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(s(s(s('0'))),f(suc(suc(suc(X0)))))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(f(X0),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X0))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f77,f58])).
% 0.10/0.39 fof(f105,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'(s(s(s('0'))),f(suc(X0)))|'LE'(f(X0),s(s(s('0')))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f79,f89])).
% 0.10/0.39 fof(f108,plain,(
% 0.10/0.39 ![E,X0]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|'E'(f(X0),f(suc(suc(X0)))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f83,f48])).
% 0.10/0.39 fof(f113,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'(s(s(s('0'))),f(suc(suc(suc(X0)))))|'LE'(f(X0),s(s(s('0')))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f85,f89])).
% 0.10/0.39 fof(f116,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(s('0'),f(suc(suc(suc(X0)))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(suc(X0)))))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f102,f117])).
% 0.10/0.39 fof(f117,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|'E'(f(X0),f(suc(suc(X0)))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f87,f62])).
% 0.10/0.39 fof(f118,plain,(
% 0.10/0.39 ![E,X0]: (~'E'('0',f(suc(suc(suc(X0)))))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0)))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f90,f108])).
% 0.10/0.39 fof(f119,plain,(
% 0.10/0.39 ![E,X0]: (~'E'(s(s(s('0'))),f(suc(suc(suc(X0)))))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X0))))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f103,f92])).
% 0.10/0.39 fof(f124,plain,(
% 0.10/0.39 ![E,X0,LE]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X0)))|'LE'(f(X0),s(s(s('0')))))),
% 0.10/0.39 inference(resolution,[status(thm)],[f119,f113])).
% 0.10/0.39 fof(f129,plain,(
% 0.10/0.39 ![E,X0,LE]: (~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X0)))|'LE'(f(X0),s(s(s('0')))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f124,f94])).
% 0.10/0.39 fof(f143,plain,(
% 0.10/0.39 ![LE,X0]: ('LE'(f(X0),s(s(s('0')))))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f105,f144])).
% 0.10/0.39 fof(f144,plain,(
% 0.10/0.39 ![E,X0,LE]: (~'E'(s(s(s('0'))),f(suc(X0)))|'LE'(f(X0),s(s(s('0')))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f129,f99])).
% 0.10/0.39 fof(f151,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'(s(s('0')),f(suc(suc(suc(X0)))))|'LE'(f(X0),s(s('0'))))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f40,f143])).
% 0.10/0.39 fof(f152,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'(s(s('0')),f(suc(suc(X0))))|'LE'(f(X0),s(s('0'))))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f52,f143])).
% 0.10/0.39 fof(f153,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'(s(s('0')),f(suc(X0)))|'LE'(f(X0),s(s('0'))))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f54,f143])).
% 0.10/0.39 fof(f154,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'(s(s('0')),f(X0))|'LE'(f(X0),s(s('0'))))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f46,f143])).
% 0.10/0.39 fof(f155,plain,(
% 0.10/0.39 ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(s(s('0')),f(X0))|~'E'(f(X0),f(suc(X0))))),
% 0.10/0.39 inference(resolution,[status(thm)],[f151,f93])).
% 0.10/0.39 fof(f159,plain,(
% 0.10/0.39 ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(s(s('0')),f(X0)))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f155,f44])).
% 0.10/0.39 fof(f184,plain,(
% 0.10/0.39 ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X0)))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f159,f154])).
% 0.10/0.39 fof(f186,plain,(
% 0.10/0.39 ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|~'E'(s(s('0')),f(suc(X0)))|'LE'(f(X0),s(s('0'))))),
% 0.10/0.39 inference(resolution,[status(thm)],[f184,f152])).
% 0.10/0.39 fof(f190,plain,(
% 0.10/0.39 ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|~'E'(s(s('0')),f(suc(X0))))),
% 0.10/0.39 inference(duplicate_literals_removal,[status(thm)],[f186])).
% 0.10/0.39 fof(f191,plain,(
% 0.10/0.39 ![LE,X0]: ('LE'(f(X0),s(s('0'))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f190,f153])).
% 0.10/0.39 fof(f194,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'(s('0'),f(suc(suc(suc(X0)))))|'LE'(f(X0),s('0')))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f71,f191])).
% 0.10/0.39 fof(f195,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'(s('0'),f(suc(suc(X0))))|'LE'(f(X0),s('0')))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f34,f191])).
% 0.10/0.39 fof(f196,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f50,f191])).
% 0.10/0.39 fof(f197,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f81,f191])).
% 0.10/0.39 fof(f198,plain,(
% 0.10/0.39 ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(suc(X0)))))),
% 0.10/0.39 inference(resolution,[status(thm)],[f194,f116])).
% 0.10/0.39 fof(f220,plain,(
% 0.10/0.39 ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0)))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f198,f197])).
% 0.10/0.39 fof(f222,plain,(
% 0.10/0.39 ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 0.10/0.39 inference(resolution,[status(thm)],[f220,f195])).
% 0.10/0.39 fof(f227,plain,(
% 0.10/0.39 ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0))))),
% 0.10/0.39 inference(duplicate_literals_removal,[status(thm)],[f222])).
% 0.10/0.39 fof(f228,plain,(
% 0.10/0.39 ![LE,X0]: ('LE'(f(X0),s('0')))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f227,f196])).
% 0.10/0.39 fof(f232,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'('0',f(suc(suc(suc(X0)))))|'LE'(f(X0),'0'))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f36,f228])).
% 0.10/0.39 fof(f233,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'('0',f(suc(suc(X0))))|'LE'(f(X0),'0'))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f60,f228])).
% 0.10/0.39 fof(f234,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f42,f228])).
% 0.10/0.39 fof(f235,plain,(
% 0.10/0.39 ![E,X0,LE]: ('E'('0',f(X0))|'LE'(f(X0),'0'))),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f75,f228])).
% 0.10/0.39 fof(f236,plain,(
% 0.10/0.39 ![LE,X0,E]: ('LE'(f(X0),'0')|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0)))),
% 0.10/0.39 inference(resolution,[status(thm)],[f232,f118])).
% 0.10/0.39 fof(f249,plain,(
% 0.10/0.39 ![LE,X0,E]: ('LE'(f(X0),'0')|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0))))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f236,f235])).
% 0.10/0.39 fof(f251,plain,(
% 0.10/0.39 ![LE,X0,E]: ('LE'(f(X0),'0')|~'E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.10/0.39 inference(resolution,[status(thm)],[f249,f233])).
% 0.10/0.39 fof(f254,plain,(
% 0.10/0.39 ![LE,X0,E]: ('LE'(f(X0),'0')|~'E'('0',f(suc(X0))))),
% 0.10/0.39 inference(duplicate_literals_removal,[status(thm)],[f251])).
% 0.10/0.39 fof(f255,plain,(
% 0.10/0.39 ![LE,X0]: ('LE'(f(X0),'0'))),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f254,f234])).
% 0.10/0.39 fof(f258,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(backward_subsumption_resolution,[status(thm)],[f65,f255])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.41 % Elapsed time: 0.038449 seconds
% 0.10/0.41 % CPU time: 0.128513 seconds
% 0.10/0.41 % Total memory used: 5.099 MB
% 0.10/0.41 % Net memory used: 4.624 MB
%------------------------------------------------------------------------------