%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO677-1 : 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 03:44:45 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO677-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n018.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 12:10:43 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f1,axiom,(
% 0.11/0.40 (![E,B_10,A_2]: (( ~ 'E'(s(s('0')),f(B_10))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ 'E'(f(B_10),f(suc(B_10)))| ~ iLEQ(suc(A_2),suc(B_10))| ~ 'E'(s(s('0')),f(suc(B_10)))| ~ 'E'(s(s('0')),f(suc(suc(A_2))))| ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(f(A_2),f(suc(A_2)))| ~ 'E'(s(s('0')),f(suc(suc(B_10)))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f2,axiom,(
% 0.11/0.40 (![E,B_17,A_4]: (( ~ 'E'('0',f(suc(B_17)))| ~ iLEQ(suc(A_4),suc(B_17))| ~ 'E'('0',f(suc(suc(B_17))))| ~ 'E'('0',f(B_17))| ~ 'E'('0',f(suc(A_4)))| ~ 'E'(f(B_17),f(suc(B_17)))| ~ 'E'('0',f(A_4))| 'E'(f(A_4),f(suc(A_4))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f3,axiom,(
% 0.11/0.40 (![LE,B_4,E]: (( ~ 'LE'(f(suc(suc(B_4))),s(s(s(s('0')))))| 'E'(s(s(s('0'))),f(suc(suc(B_4))))| 'LE'(f(B_4),s(s(s('0')))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f4,axiom,(
% 0.11/0.40 (![E,B_5,A_1]: (( ~ 'E'(s(s(s('0'))),f(suc(B_5)))| ~ iLEQ(suc(A_1),suc(B_5))| ~ 'E'(s(s(s('0'))),f(B_5))| ~ 'E'(s(s(s('0'))),f(A_1))| ~ 'E'(s(s(s('0'))),f(suc(suc(A_1))))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'(s(s(s('0'))),f(suc(A_1)))| 'E'(f(B_5),f(suc(B_5))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f5,axiom,(
% 0.11/0.40 (![E,A_4,B_17]: (( ~ 'E'(f(A_4),f(suc(A_4)))| ~ 'E'('0',f(suc(B_17)))| ~ iLEQ(suc(A_4),suc(B_17))| ~ 'E'('0',f(suc(suc(A_4))))| ~ 'E'('0',f(B_17))| ~ 'E'('0',f(suc(A_4)))| ~ 'E'('0',f(A_4))| 'E'(f(B_17),f(suc(B_17))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f6,axiom,(
% 0.11/0.40 (![E,B_10,A_2]: (( ~ 'E'(s(s('0')),f(B_10))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ iLEQ(suc(A_2),suc(B_10))| ~ 'E'(s(s('0')),f(suc(B_10)))| ~ 'E'(s(s('0')),f(A_2))| 'E'(f(A_2),f(suc(A_2)))| 'E'(f(B_10),f(suc(B_10))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f7,axiom,(
% 0.11/0.40 (![LE,B_13,E]: (( ~ 'LE'(f(B_13),s(s('0')))| 'E'(s('0'),f(B_13))| 'LE'(f(B_13),s('0')) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f8,axiom,(
% 0.11/0.40 (![E,B_14,A_3]: (( ~ 'E'(s('0'),f(suc(B_14)))| ~ 'E'(s('0'),f(suc(suc(B_14))))| ~ 'E'(s('0'),f(suc(A_3)))| ~ 'E'(s('0'),f(B_14))| ~ 'E'(f(B_14),f(suc(B_14)))| ~ 'E'(s('0'),f(A_3))| ~ iLEQ(suc(A_3),suc(B_14))| 'E'(f(A_3),f(suc(A_3))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f9,axiom,(
% 0.11/0.40 (![LE,B_4,E]: (( ~ 'LE'(f(suc(B_4)),s(s(s(s('0')))))| 'E'(s(s(s('0'))),f(suc(B_4)))| 'LE'(f(B_4),s(s(s('0')))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f10,axiom,(
% 0.11/0.40 (![E,B_5,A_1]: (( ~ 'E'(s(s(s('0'))),f(suc(B_5)))| ~ iLEQ(suc(A_1),suc(B_5))| ~ 'E'(s(s(s('0'))),f(B_5))| ~ '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)))| 'E'(f(B_5),f(suc(B_5))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f11,axiom,(
% 0.11/0.40 (![E,B_14,A_3]: (( ~ 'E'(s('0'),f(suc(B_14)))| ~ 'E'(s('0'),f(suc(A_3)))| ~ 'E'(s('0'),f(B_14))| ~ 'E'(f(A_3),f(suc(A_3)))| ~ 'E'(s('0'),f(A_3))| ~ 'E'(s('0'),f(suc(suc(A_3))))| ~ iLEQ(suc(A_3),suc(B_14))| 'E'(f(B_14),f(suc(B_14))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f12,axiom,(
% 0.11/0.40 (![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))| iLEQ(suc(A_2),suc(A_2)) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f13,axiom,(
% 0.11/0.40 (![LE,B_16,E]: (( ~ 'LE'(f(suc(B_16)),s('0'))| 'E'('0',f(suc(B_16)))| 'LE'(f(B_16),'0') ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f14,axiom,(
% 0.11/0.40 (![LE,B_16,E]: (( ~ 'LE'(f(B_16),s('0'))| 'E'('0',f(B_16))| 'LE'(f(B_16),'0') ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f15,axiom,(
% 0.11/0.40 (![LE,B_9,E]: (( ~ 'LE'(f(suc(suc(B_9))),s(s(s('0'))))| 'E'(s(s('0')),f(suc(suc(B_9))))| 'LE'(f(B_9),s(s('0'))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f16,axiom,(
% 0.11/0.40 (![LE,B_4,E]: (( ~ 'LE'(f(B_4),s(s(s(s('0')))))| 'E'(s(s(s('0'))),f(B_4))| 'LE'(f(B_4),s(s(s('0')))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f17,axiom,(
% 0.11/0.40 (![E,B_17,A_4]: (( ~ 'E'('0',f(suc(B_17)))| ~ iLEQ(suc(A_4),suc(B_17))| ~ 'E'('0',f(B_17))| ~ 'E'('0',f(suc(A_4)))| ~ 'E'('0',f(A_4))| 'E'(f(A_4),f(suc(A_4)))| 'E'(f(B_17),f(suc(B_17))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f18,axiom,(
% 0.11/0.40 (![LE,A]: ('LE'(f(A),s(s(s(s('0'))))) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f19,axiom,(
% 0.11/0.40 (![LE,B_9,E]: (( ~ 'LE'(f(B_9),s(s(s('0'))))| 'E'(s(s('0')),f(B_9))| 'LE'(f(B_9),s(s('0'))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f20,axiom,(
% 0.11/0.40 (![E,A_4,B_17]: (( ~ 'E'(f(A_4),f(suc(A_4)))| ~ 'E'('0',f(suc(B_17)))| ~ iLEQ(suc(A_4),suc(B_17))| ~ 'E'('0',f(suc(suc(B_17))))| ~ 'E'('0',f(suc(suc(A_4))))| ~ 'E'('0',f(B_17))| ~ 'E'('0',f(suc(A_4)))| ~ 'E'(f(B_17),f(suc(B_17)))| ~ 'E'('0',f(A_4)) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f21,axiom,(
% 0.11/0.40 (![E,B_5,A_1]: (( ~ 'E'(s(s(s('0'))),f(suc(B_5)))| ~ 'E'(f(B_5),f(suc(B_5)))| ~ iLEQ(suc(A_1),suc(B_5))| ~ 'E'(s(s(s('0'))),f(B_5))| ~ 'E'(s(s(s('0'))),f(A_1))| ~ 'E'(s(s(s('0'))),f(suc(suc(B_5))))| ~ 'E'(s(s(s('0'))),f(suc(A_1)))| 'E'(f(A_1),f(suc(A_1))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f22,axiom,(
% 0.11/0.40 (![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))| iLEQ(suc(A_1),suc(A_1)) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f23,axiom,(
% 0.11/0.40 (![E,A_4]: (( ~ 'E'('0',f(A_4))| ~ 'E'('0',f(suc(A_4)))| 'E'(f(A_4),f(suc(A_4)))| iLEQ(suc(A_4),suc(A_4)) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f24,axiom,(
% 0.11/0.40 (![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))| iLEQ(suc(A_3),suc(A_3)) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f25,axiom,(
% 0.11/0.40 (![LE,B_13,E]: (( ~ 'LE'(f(suc(B_13)),s(s('0')))| 'E'(s('0'),f(suc(B_13)))| 'LE'(f(B_13),s('0')) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f26,axiom,(
% 0.11/0.40 (![E,B_10,A_2]: (( ~ 'E'(s(s('0')),f(B_10))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ iLEQ(suc(A_2),suc(B_10))| ~ 'E'(s(s('0')),f(suc(B_10)))| ~ 'E'(s(s('0')),f(suc(suc(A_2))))| ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(f(A_2),f(suc(A_2)))| 'E'(f(B_10),f(suc(B_10))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f27,axiom,(
% 0.11/0.40 (![LE,B_13,E]: (( ~ 'LE'(f(suc(suc(B_13))),s(s('0')))| 'E'(s('0'),f(suc(suc(B_13))))| 'LE'(f(B_13),s('0')) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f28,axiom,(
% 0.11/0.40 (![LE]: (~ 'LE'(f(z),'0') ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f29,axiom,(
% 0.11/0.40 (![E,B_14,A_3]: (( ~ 'E'(s('0'),f(suc(B_14)))| ~ 'E'(s('0'),f(suc(suc(B_14))))| ~ 'E'(s('0'),f(suc(A_3)))| ~ 'E'(s('0'),f(B_14))| ~ 'E'(f(B_14),f(suc(B_14)))| ~ 'E'(f(A_3),f(suc(A_3)))| ~ 'E'(s('0'),f(A_3))| ~ 'E'(s('0'),f(suc(suc(A_3))))| ~ iLEQ(suc(A_3),suc(B_14)) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f30,axiom,(
% 0.11/0.40 (![E,B_5,A_1]: (( ~ 'E'(s(s(s('0'))),f(suc(B_5)))| ~ 'E'(f(B_5),f(suc(B_5)))| ~ iLEQ(suc(A_1),suc(B_5))| ~ 'E'(s(s(s('0'))),f(B_5))| ~ 'E'(s(s(s('0'))),f(A_1))| ~ 'E'(s(s(s('0'))),f(suc(suc(A_1))))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'(s(s(s('0'))),f(suc(suc(B_5))))| ~ 'E'(s(s(s('0'))),f(suc(A_1))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f31,axiom,(
% 0.11/0.40 (![LE,B_9,E]: (( ~ 'LE'(f(suc(B_9)),s(s(s('0'))))| 'E'(s(s('0')),f(suc(B_9)))| 'LE'(f(B_9),s(s('0'))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f32,axiom,(
% 0.11/0.40 (![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)))| iLEQ(suc(A_1),suc(A_1)) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f33,axiom,(
% 0.11/0.40 (![E,B_10,A_2]: (( ~ 'E'(s(s('0')),f(B_10))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ 'E'(f(B_10),f(suc(B_10)))| ~ iLEQ(suc(A_2),suc(B_10))| ~ 'E'(s(s('0')),f(suc(B_10)))| ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(s(s('0')),f(suc(suc(B_10))))| 'E'(f(A_2),f(suc(A_2))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f34,axiom,(
% 0.11/0.40 (![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)))| iLEQ(suc(A_2),suc(A_2)) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f35,axiom,(
% 0.11/0.40 (![E,B_14,A_3]: (( ~ 'E'(s('0'),f(suc(B_14)))| ~ 'E'(s('0'),f(suc(A_3)))| ~ 'E'(s('0'),f(B_14))| ~ 'E'(s('0'),f(A_3))| ~ iLEQ(suc(A_3),suc(B_14))| 'E'(f(A_3),f(suc(A_3)))| 'E'(f(B_14),f(suc(B_14))) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f36,axiom,(
% 0.11/0.40 (![LE,B_16,E]: (( ~ 'LE'(f(suc(suc(B_16))),s('0'))| 'E'('0',f(suc(suc(B_16))))| 'LE'(f(B_16),'0') ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f37,axiom,(
% 0.11/0.40 (![E,A_3]: (( ~ 'E'(s('0'),f(A_3))| ~ 'E'(s('0'),f(suc(A_3)))| 'E'(f(A_3),f(suc(A_3)))| iLEQ(suc(A_3),suc(A_3)) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f38,axiom,(
% 0.11/0.40 (![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))| iLEQ(suc(A_4),suc(A_4)) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f39,plain,(
% 0.11/0.40 ![B_10]: ((![A_2]: (((((((~'E'(s(s('0')),f(B_10))|~'E'(s(s('0')),f(suc(A_2))))|~'E'(f(B_10),f(suc(B_10))))|~iLEQ(suc(A_2),suc(B_10)))|~'E'(s(s('0')),f(suc(B_10))))|~'E'(s(s('0')),f(suc(suc(A_2)))))|~'E'(s(s('0')),f(A_2)))|~'E'(f(A_2),f(suc(A_2)))))|~'E'(s(s('0')),f(suc(suc(B_10)))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f1])).
% 0.11/0.40 fof(f40,plain,(
% 0.11/0.40 ![E,X0,X1]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X1))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s('0')),f(suc(suc(X0)))))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.11/0.40 fof(f41,plain,(
% 0.11/0.40 ![A_4]: (((![B_17]: (((((~'E'('0',f(suc(B_17)))|~iLEQ(suc(A_4),suc(B_17)))|~'E'('0',f(suc(suc(B_17)))))|~'E'('0',f(B_17)))|~'E'('0',f(suc(A_4))))|~'E'(f(B_17),f(suc(B_17)))))|~'E'('0',f(A_4)))|'E'(f(A_4),f(suc(A_4))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f2])).
% 0.11/0.40 fof(f42,plain,(
% 0.11/0.40 ![E,X0,X1]: (~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(X0))|~'E'('0',f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X1))|'E'(f(X1),f(suc(X1))))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.11/0.40 fof(f43,plain,(
% 0.11/0.40 ![B_4]: ((~'LE'(f(suc(suc(B_4))),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(suc(suc(B_4)))))|'LE'(f(B_4),s(s(s('0')))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f3])).
% 0.11/0.40 fof(f44,plain,(
% 0.11/0.40 ![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')))))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f43])).
% 0.11/0.40 fof(f45,plain,(
% 0.11/0.40 ![B_5]: ((![A_1]: ((((((~'E'(s(s(s('0'))),f(suc(B_5)))|~iLEQ(suc(A_1),suc(B_5)))|~'E'(s(s(s('0'))),f(B_5)))|~'E'(s(s(s('0'))),f(A_1)))|~'E'(s(s(s('0'))),f(suc(suc(A_1)))))|~'E'(f(A_1),f(suc(A_1))))|~'E'(s(s(s('0'))),f(suc(A_1)))))|'E'(f(B_5),f(suc(B_5))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f4])).
% 0.11/0.41 fof(f46,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s(s(s('0'))),f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f45])).
% 0.11/0.41 fof(f47,plain,(
% 0.11/0.41 ![B_17]: ((![A_4]: ((((((~'E'(f(A_4),f(suc(A_4)))|~'E'('0',f(suc(B_17))))|~iLEQ(suc(A_4),suc(B_17)))|~'E'('0',f(suc(suc(A_4)))))|~'E'('0',f(B_17)))|~'E'('0',f(suc(A_4))))|~'E'('0',f(A_4))))|'E'(f(B_17),f(suc(B_17))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f5])).
% 0.11/0.41 fof(f48,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(f(X0),f(suc(X0)))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(X1))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|'E'(f(X1),f(suc(X1))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f47])).
% 0.11/0.41 fof(f49,plain,(
% 0.11/0.41 ![B_10]: ((![A_2]: (((((~'E'(s(s('0')),f(B_10))|~'E'(s(s('0')),f(suc(A_2))))|~iLEQ(suc(A_2),suc(B_10)))|~'E'(s(s('0')),f(suc(B_10))))|~'E'(s(s('0')),f(A_2)))|'E'(f(A_2),f(suc(A_2)))))|'E'(f(B_10),f(suc(B_10))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f6])).
% 0.11/0.41 fof(f50,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X1))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f49])).
% 0.11/0.41 fof(f51,plain,(
% 0.11/0.41 ![B_13]: ((~'LE'(f(B_13),s(s('0')))|'E'(s('0'),f(B_13)))|'LE'(f(B_13),s('0')))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f7])).
% 0.11/0.41 fof(f52,plain,(
% 0.11/0.41 ![LE,X0,E]: (~'LE'(f(X0),s(s('0')))|'E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f51])).
% 0.11/0.41 fof(f53,plain,(
% 0.11/0.41 ![A_3]: ((![B_14]: ((((((~'E'(s('0'),f(suc(B_14)))|~'E'(s('0'),f(suc(suc(B_14)))))|~'E'(s('0'),f(suc(A_3))))|~'E'(s('0'),f(B_14)))|~'E'(f(B_14),f(suc(B_14))))|~'E'(s('0'),f(A_3)))|~iLEQ(suc(A_3),suc(B_14))))|'E'(f(A_3),f(suc(A_3))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f8])).
% 0.11/0.41 fof(f54,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X0))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(X1))|~iLEQ(suc(X1),suc(X0))|'E'(f(X1),f(suc(X1))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f53])).
% 0.11/0.41 fof(f55,plain,(
% 0.11/0.41 ![B_4]: ((~'LE'(f(suc(B_4)),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(suc(B_4))))|'LE'(f(B_4),s(s(s('0')))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f9])).
% 0.11/0.41 fof(f56,plain,(
% 0.11/0.41 ![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')))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f55])).
% 0.11/0.41 fof(f57,plain,(
% 0.11/0.41 ![B_5]: ((![A_1]: (((((~'E'(s(s(s('0'))),f(suc(B_5)))|~iLEQ(suc(A_1),suc(B_5)))|~'E'(s(s(s('0'))),f(B_5)))|~'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)))))|'E'(f(B_5),f(suc(B_5))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f10])).
% 0.11/0.41 fof(f58,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s(s(s('0'))),f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X1)))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f57])).
% 0.11/0.41 fof(f59,plain,(
% 0.11/0.41 ![B_14]: ((![A_3]: ((((((~'E'(s('0'),f(suc(B_14)))|~'E'(s('0'),f(suc(A_3))))|~'E'(s('0'),f(B_14)))|~'E'(f(A_3),f(suc(A_3))))|~'E'(s('0'),f(A_3)))|~'E'(s('0'),f(suc(suc(A_3)))))|~iLEQ(suc(A_3),suc(B_14))))|'E'(f(B_14),f(suc(B_14))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f11])).
% 0.11/0.41 fof(f60,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X0))|~'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X0))|'E'(f(X0),f(suc(X0))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f59])).
% 0.11/0.41 fof(f61,plain,(
% 0.11/0.41 ![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)))|iLEQ(suc(A_2),suc(A_2)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f12])).
% 0.11/0.41 fof(f62,plain,(
% 0.11/0.41 ![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))|iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f61])).
% 0.11/0.41 fof(f63,plain,(
% 0.11/0.41 ![B_16]: ((~'LE'(f(suc(B_16)),s('0'))|'E'('0',f(suc(B_16))))|'LE'(f(B_16),'0'))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f13])).
% 0.11/0.41 fof(f64,plain,(
% 0.11/0.41 ![LE,X0,E]: (~'LE'(f(suc(X0)),s('0'))|'E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f63])).
% 0.11/0.41 fof(f65,plain,(
% 0.11/0.41 ![B_16]: ((~'LE'(f(B_16),s('0'))|'E'('0',f(B_16)))|'LE'(f(B_16),'0'))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f14])).
% 0.11/0.41 fof(f66,plain,(
% 0.11/0.41 ![LE,X0,E]: (~'LE'(f(X0),s('0'))|'E'('0',f(X0))|'LE'(f(X0),'0'))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f65])).
% 0.11/0.41 fof(f67,plain,(
% 0.11/0.41 ![B_9]: ((~'LE'(f(suc(suc(B_9))),s(s(s('0'))))|'E'(s(s('0')),f(suc(suc(B_9)))))|'LE'(f(B_9),s(s('0'))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f15])).
% 0.11/0.41 fof(f68,plain,(
% 0.11/0.41 ![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'))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f67])).
% 0.11/0.41 fof(f69,plain,(
% 0.11/0.41 ![B_4]: ((~'LE'(f(B_4),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(B_4)))|'LE'(f(B_4),s(s(s('0')))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f16])).
% 0.11/0.41 fof(f70,plain,(
% 0.11/0.41 ![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')))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f69])).
% 0.11/0.41 fof(f71,plain,(
% 0.11/0.41 ![B_17]: ((![A_4]: (((((~'E'('0',f(suc(B_17)))|~iLEQ(suc(A_4),suc(B_17)))|~'E'('0',f(B_17)))|~'E'('0',f(suc(A_4))))|~'E'('0',f(A_4)))|'E'(f(A_4),f(suc(A_4)))))|'E'(f(B_17),f(suc(B_17))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f17])).
% 0.11/0.41 fof(f72,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(X0))|~'E'('0',f(suc(X1)))|~'E'('0',f(X1))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f71])).
% 0.11/0.41 fof(f73,plain,(
% 0.11/0.41 ![A]: 'LE'(f(A),s(s(s(s('0')))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f18])).
% 0.11/0.41 fof(f74,plain,(
% 0.11/0.41 ![LE,X0]: ('LE'(f(X0),s(s(s(s('0'))))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f73])).
% 0.11/0.41 fof(f75,plain,(
% 0.11/0.41 ![B_9]: ((~'LE'(f(B_9),s(s(s('0'))))|'E'(s(s('0')),f(B_9)))|'LE'(f(B_9),s(s('0'))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f19])).
% 0.11/0.41 fof(f76,plain,(
% 0.11/0.41 ![LE,X0,E]: (~'LE'(f(X0),s(s(s('0'))))|'E'(s(s('0')),f(X0))|'LE'(f(X0),s(s('0'))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f75])).
% 0.11/0.41 fof(f77,plain,(
% 0.11/0.41 ![A_4]: ((![B_17]: (((((((~'E'(f(A_4),f(suc(A_4)))|~'E'('0',f(suc(B_17))))|~iLEQ(suc(A_4),suc(B_17)))|~'E'('0',f(suc(suc(B_17)))))|~'E'('0',f(suc(suc(A_4)))))|~'E'('0',f(B_17)))|~'E'('0',f(suc(A_4))))|~'E'(f(B_17),f(suc(B_17)))))|~'E'('0',f(A_4)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f20])).
% 0.11/0.41 fof(f78,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(f(X0),f(suc(X0)))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(X1))|~'E'('0',f(suc(X0)))|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f77])).
% 0.11/0.41 fof(f79,plain,(
% 0.11/0.41 ![A_1]: (((![B_5]: (((((~'E'(s(s(s('0'))),f(suc(B_5)))|~'E'(f(B_5),f(suc(B_5))))|~iLEQ(suc(A_1),suc(B_5)))|~'E'(s(s(s('0'))),f(B_5)))|~'E'(s(s(s('0'))),f(A_1)))|~'E'(s(s(s('0'))),f(suc(suc(B_5))))))|~'E'(s(s(s('0'))),f(suc(A_1))))|'E'(f(A_1),f(suc(A_1))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f21])).
% 0.11/0.41 fof(f80,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X1)))|'E'(f(X1),f(suc(X1))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f79])).
% 0.11/0.41 fof(f81,plain,(
% 0.11/0.41 ![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)))|iLEQ(suc(A_1),suc(A_1)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f22])).
% 0.11/0.41 fof(f82,plain,(
% 0.11/0.41 ![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))|iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f81])).
% 0.11/0.41 fof(f83,plain,(
% 0.11/0.41 ![A_4]: (((~'E'('0',f(A_4))|~'E'('0',f(suc(A_4))))|'E'(f(A_4),f(suc(A_4))))|iLEQ(suc(A_4),suc(A_4)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f23])).
% 0.11/0.41 fof(f84,plain,(
% 0.11/0.41 ![E,X0]: (~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f83])).
% 0.11/0.41 fof(f85,plain,(
% 0.11/0.41 ![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)))|iLEQ(suc(A_3),suc(A_3)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f24])).
% 0.11/0.41 fof(f86,plain,(
% 0.11/0.41 ![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))|iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f85])).
% 0.11/0.41 fof(f87,plain,(
% 0.11/0.41 ![B_13]: ((~'LE'(f(suc(B_13)),s(s('0')))|'E'(s('0'),f(suc(B_13))))|'LE'(f(B_13),s('0')))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f25])).
% 0.11/0.41 fof(f88,plain,(
% 0.11/0.41 ![LE,X0,E]: (~'LE'(f(suc(X0)),s(s('0')))|'E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f87])).
% 0.11/0.41 fof(f89,plain,(
% 0.11/0.41 ![B_10]: ((![A_2]: ((((((~'E'(s(s('0')),f(B_10))|~'E'(s(s('0')),f(suc(A_2))))|~iLEQ(suc(A_2),suc(B_10)))|~'E'(s(s('0')),f(suc(B_10))))|~'E'(s(s('0')),f(suc(suc(A_2)))))|~'E'(s(s('0')),f(A_2)))|~'E'(f(A_2),f(suc(A_2)))))|'E'(f(B_10),f(suc(B_10))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f26])).
% 0.11/0.41 fof(f90,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X1))|~'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f89])).
% 0.11/0.41 fof(f91,plain,(
% 0.11/0.41 ![B_13]: ((~'LE'(f(suc(suc(B_13))),s(s('0')))|'E'(s('0'),f(suc(suc(B_13)))))|'LE'(f(B_13),s('0')))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f27])).
% 0.11/0.41 fof(f92,plain,(
% 0.11/0.41 ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s(s('0')))|'E'(s('0'),f(suc(suc(X0))))|'LE'(f(X0),s('0')))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f91])).
% 0.11/0.41 fof(f93,plain,(
% 0.11/0.41 ![LE]: (~'LE'(f(z),'0'))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.41 fof(f94,plain,(
% 0.11/0.41 ![B_14,A_3]: ((((((((~'E'(s('0'),f(suc(B_14)))|~'E'(s('0'),f(suc(suc(B_14)))))|~'E'(s('0'),f(suc(A_3))))|~'E'(s('0'),f(B_14)))|~'E'(f(B_14),f(suc(B_14))))|~'E'(f(A_3),f(suc(A_3))))|~'E'(s('0'),f(A_3)))|~'E'(s('0'),f(suc(suc(A_3)))))|~iLEQ(suc(A_3),suc(B_14)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f29])).
% 0.11/0.41 fof(f95,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X0))|~'E'(f(X0),f(suc(X0)))|~'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f94])).
% 0.11/0.41 fof(f96,plain,(
% 0.11/0.41 ![A_1]: ((![B_5]: (((((((~'E'(s(s(s('0'))),f(suc(B_5)))|~'E'(f(B_5),f(suc(B_5))))|~iLEQ(suc(A_1),suc(B_5)))|~'E'(s(s(s('0'))),f(B_5)))|~'E'(s(s(s('0'))),f(A_1)))|~'E'(s(s(s('0'))),f(suc(suc(A_1)))))|~'E'(f(A_1),f(suc(A_1))))|~'E'(s(s(s('0'))),f(suc(suc(B_5))))))|~'E'(s(s(s('0'))),f(suc(A_1))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f30])).
% 0.11/0.41 fof(f97,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X1))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f96])).
% 0.11/0.41 fof(f98,plain,(
% 0.11/0.41 ![B_9]: ((~'LE'(f(suc(B_9)),s(s(s('0'))))|'E'(s(s('0')),f(suc(B_9))))|'LE'(f(B_9),s(s('0'))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f31])).
% 0.11/0.41 fof(f99,plain,(
% 0.11/0.41 ![LE,X0,E]: (~'LE'(f(suc(X0)),s(s(s('0'))))|'E'(s(s('0')),f(suc(X0)))|'LE'(f(X0),s(s('0'))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f98])).
% 0.11/0.41 fof(f100,plain,(
% 0.11/0.41 ![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))))|iLEQ(suc(A_1),suc(A_1)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f32])).
% 0.11/0.41 fof(f101,plain,(
% 0.11/0.41 ![E,X0]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f100])).
% 0.11/0.41 fof(f102,plain,(
% 0.11/0.41 ![A_2]: ((![B_10]: ((((((~'E'(s(s('0')),f(B_10))|~'E'(s(s('0')),f(suc(A_2))))|~'E'(f(B_10),f(suc(B_10))))|~iLEQ(suc(A_2),suc(B_10)))|~'E'(s(s('0')),f(suc(B_10))))|~'E'(s(s('0')),f(A_2)))|~'E'(s(s('0')),f(suc(suc(B_10))))))|'E'(f(A_2),f(suc(A_2))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f33])).
% 0.11/0.41 fof(f103,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X1))|~'E'(s(s('0')),f(suc(suc(X0))))|'E'(f(X1),f(suc(X1))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f102])).
% 0.11/0.41 fof(f104,plain,(
% 0.11/0.41 ![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))))|iLEQ(suc(A_2),suc(A_2)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f34])).
% 0.11/0.41 fof(f105,plain,(
% 0.11/0.41 ![E,X0]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f104])).
% 0.11/0.41 fof(f106,plain,(
% 0.11/0.41 ![B_14]: ((![A_3]: (((((~'E'(s('0'),f(suc(B_14)))|~'E'(s('0'),f(suc(A_3))))|~'E'(s('0'),f(B_14)))|~'E'(s('0'),f(A_3)))|~iLEQ(suc(A_3),suc(B_14)))|'E'(f(A_3),f(suc(A_3)))))|'E'(f(B_14),f(suc(B_14))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f35])).
% 0.11/0.41 fof(f107,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(X1))|~iLEQ(suc(X1),suc(X0))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f106])).
% 0.11/0.41 fof(f108,plain,(
% 0.11/0.41 ![B_16]: ((~'LE'(f(suc(suc(B_16))),s('0'))|'E'('0',f(suc(suc(B_16)))))|'LE'(f(B_16),'0'))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f36])).
% 0.11/0.41 fof(f109,plain,(
% 0.11/0.41 ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s('0'))|'E'('0',f(suc(suc(X0))))|'LE'(f(X0),'0'))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f108])).
% 0.11/0.41 fof(f110,plain,(
% 0.11/0.41 ![A_3]: (((~'E'(s('0'),f(A_3))|~'E'(s('0'),f(suc(A_3))))|'E'(f(A_3),f(suc(A_3))))|iLEQ(suc(A_3),suc(A_3)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f37])).
% 0.11/0.41 fof(f111,plain,(
% 0.11/0.41 ![E,X0]: (~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f110])).
% 0.11/0.41 fof(f112,plain,(
% 0.11/0.41 ![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)))|iLEQ(suc(A_4),suc(A_4)))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f38])).
% 0.11/0.41 fof(f113,plain,(
% 0.11/0.41 ![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)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f112])).
% 0.11/0.41 fof(f114,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s(s(s('0'))),f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(s(s(s('0'))),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f46,f58])).
% 0.11/0.41 fof(f116,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(X0))|~'E'('0',f(suc(X1)))|~'E'('0',f(X1))|'E'(f(X1),f(suc(X1))))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f42,f72])).
% 0.11/0.41 fof(f117,plain,(
% 0.11/0.41 ![E,X0,LE]: ('E'(s(s(s('0'))),f(suc(suc(X0))))|'LE'(f(X0),s(s(s('0')))))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f44,f74])).
% 0.11/0.41 fof(f118,plain,(
% 0.11/0.41 ![E,X0,LE]: ('E'(s(s(s('0'))),f(suc(X0)))|'LE'(f(X0),s(s(s('0')))))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f56,f74])).
% 0.11/0.41 fof(f119,plain,(
% 0.11/0.41 ![E,X0,LE]: ('E'(s(s(s('0'))),f(X0))|'LE'(f(X0),s(s(s('0')))))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f70,f74])).
% 0.11/0.41 fof(f120,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(f(X0),f(suc(X0)))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(X1))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0)))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f78,f48])).
% 0.11/0.41 fof(f121,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s(s(s('0'))),f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X1)))|'E'(f(X1),f(suc(X1))))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f80,f58])).
% 0.11/0.41 fof(f122,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X1))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s('0')),f(suc(suc(X0)))))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f40,f123])).
% 0.11/0.41 fof(f123,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X1))|'E'(f(X0),f(suc(X0))))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f90,f50])).
% 0.11/0.41 fof(f124,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X0))|~'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X0)))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f95,f60])).
% 0.11/0.41 fof(f125,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X1))))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f97,f121])).
% 0.11/0.41 fof(f126,plain,(
% 0.11/0.41 ![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))|iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f82,f101])).
% 0.11/0.41 fof(f127,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X1))|~'E'(s(s('0')),f(suc(suc(X0))))|'E'(f(X1),f(suc(X1))))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f103,f50])).
% 0.11/0.41 fof(f128,plain,(
% 0.11/0.41 ![E,X0]: (~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f62,f105])).
% 0.11/0.41 fof(f130,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(X1))|~iLEQ(suc(X1),suc(X0))|'E'(f(X1),f(suc(X1))))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f54,f107])).
% 0.11/0.41 fof(f131,plain,(
% 0.11/0.41 ![E,X0]: (~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f86,f111])).
% 0.11/0.41 fof(f132,plain,(
% 0.11/0.41 ![E,X0]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f113,f84])).
% 0.11/0.41 fof(f133,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s(s(s('0'))),f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X1))))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f125,f114])).
% 0.11/0.41 fof(f134,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(X0))|~'E'('0',f(suc(X1)))|~'E'('0',f(X1)))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f120,f116])).
% 0.11/0.41 fof(f135,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X1))|~'E'(s(s('0')),f(suc(suc(X0)))))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f122,f127])).
% 0.11/0.41 fof(f136,plain,(
% 0.11/0.41 ![E,X0,X1]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X0)))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f124,f130])).
% 0.11/0.41 fof(f144,plain,(
% 0.11/0.41 ![E,X0]: (~'E'('0',f(suc(X0)))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0)))),
% 0.11/0.41 inference(factoring,[status(thm)],[f134])).
% 0.11/0.41 fof(f145,plain,(
% 0.11/0.41 ![E,X0]: (~'E'('0',f(suc(X0)))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(X0)))),
% 0.11/0.41 inference(duplicate_literals_removal,[status(thm)],[f144])).
% 0.11/0.41 fof(f146,plain,(
% 0.11/0.41 ![E,X0]: (~'E'('0',f(suc(X0)))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(X0)))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f145,f132])).
% 0.11/0.41 fof(f151,plain,(
% 0.11/0.41 ![E,X0]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X0),suc(X0))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(s(s('0')),f(X0)))),
% 0.11/0.41 inference(factoring,[status(thm)],[f135])).
% 0.11/0.41 fof(f152,plain,(
% 0.11/0.41 ![E,X0]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X0),suc(X0))|~'E'(s(s('0')),f(suc(suc(X0)))))),
% 0.11/0.41 inference(duplicate_literals_removal,[status(thm)],[f151])).
% 0.11/0.41 fof(f153,plain,(
% 0.11/0.41 ![E,X0]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X0)))))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f152,f128])).
% 0.11/0.41 fof(f154,plain,(
% 0.11/0.41 ![E,X0]: (~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(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)))),
% 0.11/0.41 inference(resolution,[status(thm)],[f133,f126])).
% 0.11/0.41 fof(f155,plain,(
% 0.11/0.41 ![E,X0]: (~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(suc(X0)))))),
% 0.11/0.41 inference(duplicate_literals_removal,[status(thm)],[f154])).
% 0.11/0.41 fof(f156,plain,(
% 0.11/0.41 ![E,X0,LE]: (~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0))|'LE'(f(X0),s(s(s('0')))))),
% 0.11/0.41 inference(resolution,[status(thm)],[f155,f117])).
% 0.11/0.41 fof(f159,plain,(
% 0.11/0.41 ![LE,X0]: ('LE'(f(X0),s(s(s('0')))))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f119,f160])).
% 0.11/0.41 fof(f160,plain,(
% 0.11/0.41 ![E,X0,LE]: (~'E'(s(s(s('0'))),f(X0))|'LE'(f(X0),s(s(s('0')))))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f156,f118])).
% 0.11/0.41 fof(f161,plain,(
% 0.11/0.41 ![E,X0,LE]: ('E'(s(s('0')),f(suc(suc(X0))))|'LE'(f(X0),s(s('0'))))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f68,f159])).
% 0.11/0.41 fof(f162,plain,(
% 0.11/0.41 ![E,X0,LE]: ('E'(s(s('0')),f(suc(X0)))|'LE'(f(X0),s(s('0'))))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f99,f159])).
% 0.11/0.41 fof(f163,plain,(
% 0.11/0.41 ![E,X0,LE]: ('E'(s(s('0')),f(X0))|'LE'(f(X0),s(s('0'))))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f76,f159])).
% 0.11/0.41 fof(f169,plain,(
% 0.11/0.41 ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(suc(X0)))))),
% 0.11/0.41 inference(resolution,[status(thm)],[f162,f153])).
% 0.11/0.41 fof(f171,plain,(
% 0.11/0.41 ![LE,X0]: ('LE'(f(X0),s(s('0'))))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f161,f172])).
% 0.11/0.41 fof(f172,plain,(
% 0.11/0.41 ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|~'E'(s(s('0')),f(suc(suc(X0)))))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f169,f163])).
% 0.11/0.41 fof(f174,plain,(
% 0.11/0.41 ![E,X0,LE]: ('E'(s('0'),f(suc(suc(X0))))|'LE'(f(X0),s('0')))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f92,f171])).
% 0.11/0.41 fof(f175,plain,(
% 0.11/0.41 ![E,X0,LE]: ('E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f88,f171])).
% 0.11/0.41 fof(f176,plain,(
% 0.11/0.41 ![E,X0,LE]: ('E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f52,f171])).
% 0.11/0.41 fof(f206,plain,(
% 0.11/0.41 ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(X0))|~iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(resolution,[status(thm)],[f174,f136])).
% 0.11/0.41 fof(f214,plain,(
% 0.11/0.41 ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(resolution,[status(thm)],[f174,f131])).
% 0.11/0.41 fof(f224,plain,(
% 0.11/0.41 ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(duplicate_literals_removal,[status(thm)],[f206])).
% 0.11/0.41 fof(f225,plain,(
% 0.11/0.41 ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0)))|~iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f224,f176])).
% 0.11/0.41 fof(f233,plain,(
% 0.11/0.41 ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0))))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f225,f234])).
% 0.11/0.41 fof(f234,plain,(
% 0.11/0.41 ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f214,f176])).
% 0.11/0.41 fof(f242,plain,(
% 0.11/0.41 ![E,X0,LE]: ('E'('0',f(suc(suc(X0))))|'LE'(f(X0),'0'))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f109,f245])).
% 0.11/0.41 fof(f243,plain,(
% 0.11/0.41 ![E,X0,LE]: ('E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f64,f245])).
% 0.11/0.41 fof(f244,plain,(
% 0.11/0.41 ![E,X0,LE]: ('E'('0',f(X0))|'LE'(f(X0),'0'))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f66,f245])).
% 0.11/0.41 fof(f245,plain,(
% 0.11/0.41 ![LE,X0]: ('LE'(f(X0),s('0')))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f233,f175])).
% 0.11/0.41 fof(f255,plain,(
% 0.11/0.41 ![LE,X0,E]: ('LE'(f(X0),'0')|~'E'('0',f(suc(X0)))|~'E'('0',f(X0)))),
% 0.11/0.41 inference(resolution,[status(thm)],[f242,f146])).
% 0.11/0.41 fof(f258,plain,(
% 0.11/0.41 ![LE,X0]: ('LE'(f(X0),'0'))),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f244,f259])).
% 0.11/0.41 fof(f259,plain,(
% 0.11/0.41 ![LE,X0,E]: ('LE'(f(X0),'0')|~'E'('0',f(X0)))),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f255,f243])).
% 0.11/0.41 fof(f263,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f93,f258])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.43 % Elapsed time: 0.070309 seconds
% 0.11/0.43 % CPU time: 0.350739 seconds
% 0.11/0.43 % Total memory used: 10.885 MB
% 0.11/0.43 % Net memory used: 9.612 MB
%------------------------------------------------------------------------------