%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO685-1 : 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 : n019.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 03:44:46 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO685-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n019.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 12:09:04 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.43 % Refutation found
% 0.09/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.43 fof(f1,axiom,(
% 0.09/0.43 (![E,A_3]: (( ~ 'E'(s(s('0')),f(A_3))| ~ 'E'(s(s('0')),f(suc(A_3)))| 'E'(f(A_3),f(suc(A_3)))| iLEQ(suc(A_3),suc(A_3)) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f2,axiom,(
% 0.09/0.43 (![E,A_1]: (( ~ 'E'(s(s(s(s('0')))),f(A_1))| ~ 'E'(s(s(s(s('0')))),f(suc(A_1)))| 'E'(f(A_1),f(suc(A_1)))| iLEQ(suc(A_1),suc(A_1)) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f3,axiom,(
% 0.09/0.43 (![LE,B_16,E]: (( ~ 'LE'(f(B_16),s(s(s('0'))))| 'E'(s(s('0')),f(B_16))| 'LE'(f(B_16),s(s('0'))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f4,axiom,(
% 0.09/0.43 (![E,A_4]: (( ~ 'E'(s('0'),f(suc(suc(A_4))))| ~ 'E'(s('0'),f(suc(A_4)))| ~ 'E'(f(A_4),f(suc(A_4)))| ~ 'E'(s('0'),f(A_4))| iLEQ(suc(A_4),suc(A_4)) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f5,axiom,(
% 0.09/0.43 (![A_5,B_24,E]: (( ~ iLEQ(suc(A_5),suc(B_24))| ~ 'E'('0',f(A_5))| ~ 'E'('0',f(suc(A_5)))| ~ 'E'('0',f(suc(B_24)))| ~ 'E'('0',f(B_24))| 'E'(f(A_5),f(suc(A_5)))| 'E'(f(B_24),f(suc(B_24))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f6,axiom,(
% 0.09/0.43 (![A_2,B_12,E]: (( ~ iLEQ(suc(A_2),suc(B_12))| ~ 'E'(s(s(s('0'))),f(suc(A_2)))| ~ 'E'(s(s(s('0'))),f(B_12))| ~ 'E'(s(s(s('0'))),f(A_2))| ~ 'E'(f(B_12),f(suc(B_12)))| ~ 'E'(s(s(s('0'))),f(suc(B_12)))| ~ 'E'(s(s(s('0'))),f(suc(suc(B_12))))| 'E'(f(A_2),f(suc(A_2))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f7,axiom,(
% 0.09/0.43 (![E,A_2]: (( ~ 'E'(s(s(s('0'))),f(A_2))| ~ 'E'(s(s(s('0'))),f(suc(A_2)))| 'E'(f(A_2),f(suc(A_2)))| iLEQ(suc(A_2),suc(A_2)) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f8,axiom,(
% 0.09/0.43 (![LE,B_16,E]: (( ~ 'LE'(f(suc(suc(B_16))),s(s(s('0'))))| 'E'(s(s('0')),f(suc(suc(B_16))))| 'LE'(f(B_16),s(s('0'))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f9,axiom,(
% 0.09/0.43 (![E,B_17,A_3]: (( ~ 'E'(s(s('0')),f(suc(B_17)))| ~ 'E'(s(s('0')),f(B_17))| ~ 'E'(s(s('0')),f(suc(A_3)))| ~ 'E'(s(s('0')),f(suc(suc(A_3))))| ~ iLEQ(suc(A_3),suc(B_17))| ~ 'E'(f(A_3),f(suc(A_3)))| ~ 'E'(f(B_17),f(suc(B_17)))| ~ 'E'(s(s('0')),f(A_3))| ~ 'E'(s(s('0')),f(suc(suc(B_17)))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f10,axiom,(
% 0.09/0.43 (![E,A_2]: (( ~ 'E'(s(s(s('0'))),f(suc(suc(A_2))))| ~ 'E'(s(s(s('0'))),f(suc(A_2)))| ~ 'E'(f(A_2),f(suc(A_2)))| ~ 'E'(s(s(s('0'))),f(A_2))| iLEQ(suc(A_2),suc(A_2)) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f11,axiom,(
% 0.09/0.43 (![E,A_1]: (( ~ 'E'(s(s(s(s('0')))),f(suc(suc(A_1))))| ~ 'E'(s(s(s(s('0')))),f(suc(A_1)))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'(s(s(s(s('0')))),f(A_1))| iLEQ(suc(A_1),suc(A_1)) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f12,axiom,(
% 0.09/0.43 (![A_4,B_21,E]: (( ~ iLEQ(suc(A_4),suc(B_21))| ~ 'E'(s('0'),f(suc(B_21)))| ~ 'E'(s('0'),f(suc(suc(B_21))))| ~ 'E'(s('0'),f(B_21))| ~ 'E'(s('0'),f(suc(A_4)))| ~ 'E'(f(B_21),f(suc(B_21)))| ~ 'E'(s('0'),f(A_4))| 'E'(f(A_4),f(suc(A_4))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f13,axiom,(
% 0.09/0.43 (![LE,B_20,E]: (( ~ 'LE'(f(B_20),s(s('0')))| 'E'(s('0'),f(B_20))| 'LE'(f(B_20),s('0')) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f14,axiom,(
% 0.09/0.43 (![E,B_6,A_1]: (( ~ 'E'(s(s(s(s('0')))),f(B_6))| ~ iLEQ(suc(A_1),suc(B_6))| ~ 'E'(s(s(s(s('0')))),f(suc(suc(B_6))))| ~ 'E'(s(s(s(s('0')))),f(suc(B_6)))| ~ 'E'(s(s(s(s('0')))),f(suc(A_1)))| ~ 'E'(s(s(s(s('0')))),f(A_1))| ~ 'E'(f(B_6),f(suc(B_6)))| 'E'(f(A_1),f(suc(A_1))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f15,axiom,(
% 0.09/0.43 (![LE,B_5,E]: (( ~ 'LE'(f(suc(B_5)),s(s(s(s(s('0'))))))| 'E'(s(s(s(s('0')))),f(suc(B_5)))| 'LE'(f(B_5),s(s(s(s('0'))))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f16,axiom,(
% 0.09/0.43 (![LE,B_5,E]: (( ~ 'LE'(f(suc(suc(B_5))),s(s(s(s(s('0'))))))| 'E'(s(s(s(s('0')))),f(suc(suc(B_5))))| 'LE'(f(B_5),s(s(s(s('0'))))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f17,axiom,(
% 0.09/0.43 (![E,A_3]: (( ~ 'E'(s(s('0')),f(suc(suc(A_3))))| ~ 'E'(s(s('0')),f(suc(A_3)))| ~ 'E'(f(A_3),f(suc(A_3)))| ~ 'E'(s(s('0')),f(A_3))| iLEQ(suc(A_3),suc(A_3)) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f18,axiom,(
% 0.09/0.43 (![LE,B_11,E]: (( ~ 'LE'(f(B_11),s(s(s(s('0')))))| 'E'(s(s(s('0'))),f(B_11))| 'LE'(f(B_11),s(s(s('0')))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f19,axiom,(
% 0.09/0.43 (![LE,B_16,E]: (( ~ 'LE'(f(suc(B_16)),s(s(s('0'))))| 'E'(s(s('0')),f(suc(B_16)))| 'LE'(f(B_16),s(s('0'))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f20,axiom,(
% 0.09/0.43 (![LE]: (~ 'LE'(f(z),'0') ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f21,axiom,(
% 0.09/0.43 (![A_4,B_21,E]: (( ~ iLEQ(suc(A_4),suc(B_21))| ~ 'E'(f(A_4),f(suc(A_4)))| ~ 'E'(s('0'),f(suc(B_21)))| ~ 'E'(s('0'),f(suc(suc(B_21))))| ~ 'E'(s('0'),f(B_21))| ~ 'E'(s('0'),f(suc(suc(A_4))))| ~ 'E'(s('0'),f(suc(A_4)))| ~ 'E'(f(B_21),f(suc(B_21)))| ~ 'E'(s('0'),f(A_4)) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f22,axiom,(
% 0.09/0.43 (![A_2,B_12,E]: (( ~ iLEQ(suc(A_2),suc(B_12))| ~ 'E'(s(s(s('0'))),f(suc(A_2)))| ~ 'E'(s(s(s('0'))),f(B_12))| ~ 'E'(s(s(s('0'))),f(A_2))| ~ 'E'(s(s(s('0'))),f(suc(B_12)))| 'E'(f(A_2),f(suc(A_2)))| 'E'(f(B_12),f(suc(B_12))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f23,axiom,(
% 0.09/0.43 (![LE,B_11,E]: (( ~ 'LE'(f(suc(suc(B_11))),s(s(s(s('0')))))| 'E'(s(s(s('0'))),f(suc(suc(B_11))))| 'LE'(f(B_11),s(s(s('0')))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f24,axiom,(
% 0.09/0.43 (![E,B_17,A_3]: (( ~ 'E'(s(s('0')),f(suc(B_17)))| ~ 'E'(s(s('0')),f(B_17))| ~ 'E'(s(s('0')),f(suc(A_3)))| ~ 'E'(s(s('0')),f(suc(suc(A_3))))| ~ iLEQ(suc(A_3),suc(B_17))| ~ 'E'(f(A_3),f(suc(A_3)))| ~ 'E'(s(s('0')),f(A_3))| 'E'(f(B_17),f(suc(B_17))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f25,axiom,(
% 0.09/0.43 (![E,B_17,A_3]: (( ~ 'E'(s(s('0')),f(suc(B_17)))| ~ 'E'(s(s('0')),f(B_17))| ~ 'E'(s(s('0')),f(suc(A_3)))| ~ iLEQ(suc(A_3),suc(B_17))| ~ 'E'(f(B_17),f(suc(B_17)))| ~ 'E'(s(s('0')),f(A_3))| ~ 'E'(s(s('0')),f(suc(suc(B_17))))| 'E'(f(A_3),f(suc(A_3))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f27,axiom,(
% 0.09/0.43 (![E,B_24,A_5]: (( ~ 'E'(f(B_24),f(suc(B_24)))| ~ 'E'('0',f(suc(suc(B_24))))| ~ iLEQ(suc(A_5),suc(B_24))| ~ 'E'('0',f(A_5))| ~ 'E'('0',f(suc(A_5)))| ~ 'E'('0',f(suc(B_24)))| ~ 'E'('0',f(B_24))| 'E'(f(A_5),f(suc(A_5))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f28,axiom,(
% 0.09/0.43 (![A_2,B_12,E]: (( ~ iLEQ(suc(A_2),suc(B_12))| ~ 'E'(s(s(s('0'))),f(suc(A_2)))| ~ 'E'(s(s(s('0'))),f(B_12))| ~ 'E'(s(s(s('0'))),f(A_2))| ~ 'E'(s(s(s('0'))),f(suc(B_12)))| ~ 'E'(s(s(s('0'))),f(suc(suc(A_2))))| ~ 'E'(f(A_2),f(suc(A_2)))| 'E'(f(B_12),f(suc(B_12))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f29,axiom,(
% 0.09/0.43 (![LE,B_23,E]: (( ~ 'LE'(f(suc(B_23)),s('0'))| 'E'('0',f(suc(B_23)))| 'LE'(f(B_23),'0') ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f30,axiom,(
% 0.09/0.43 (![A_4,B_21,E]: (( ~ iLEQ(suc(A_4),suc(B_21))| ~ 'E'(f(A_4),f(suc(A_4)))| ~ 'E'(s('0'),f(suc(B_21)))| ~ 'E'(s('0'),f(B_21))| ~ 'E'(s('0'),f(suc(suc(A_4))))| ~ 'E'(s('0'),f(suc(A_4)))| ~ 'E'(s('0'),f(A_4))| 'E'(f(B_21),f(suc(B_21))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f31,axiom,(
% 0.09/0.43 (![LE,B_20,E]: (( ~ 'LE'(f(suc(B_20)),s(s('0')))| 'E'(s('0'),f(suc(B_20)))| 'LE'(f(B_20),s('0')) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f32,axiom,(
% 0.09/0.43 (![A_4,B_21,E]: (( ~ iLEQ(suc(A_4),suc(B_21))| ~ 'E'(s('0'),f(suc(B_21)))| ~ 'E'(s('0'),f(B_21))| ~ 'E'(s('0'),f(suc(A_4)))| ~ 'E'(s('0'),f(A_4))| 'E'(f(A_4),f(suc(A_4)))| 'E'(f(B_21),f(suc(B_21))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f33,axiom,(
% 0.09/0.43 (![E,B_24,A_5]: (( ~ 'E'(f(B_24),f(suc(B_24)))| ~ 'E'('0',f(suc(suc(B_24))))| ~ iLEQ(suc(A_5),suc(B_24))| ~ 'E'('0',f(A_5))| ~ 'E'('0',f(suc(A_5)))| ~ 'E'('0',f(suc(suc(A_5))))| ~ 'E'('0',f(suc(B_24)))| ~ 'E'('0',f(B_24))| ~ 'E'(f(A_5),f(suc(A_5))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f34,axiom,(
% 0.09/0.43 (![LE,B_20,E]: (( ~ 'LE'(f(suc(suc(B_20))),s(s('0')))| 'E'(s('0'),f(suc(suc(B_20))))| 'LE'(f(B_20),s('0')) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f35,axiom,(
% 0.09/0.43 (![LE,B_5,E]: (( ~ 'LE'(f(B_5),s(s(s(s(s('0'))))))| 'E'(s(s(s(s('0')))),f(B_5))| 'LE'(f(B_5),s(s(s(s('0'))))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f36,axiom,(
% 0.09/0.43 (![E,A_5]: (( ~ 'E'('0',f(suc(suc(A_5))))| ~ 'E'('0',f(suc(A_5)))| ~ 'E'(f(A_5),f(suc(A_5)))| ~ 'E'('0',f(A_5))| iLEQ(suc(A_5),suc(A_5)) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f37,axiom,(
% 0.09/0.43 (![E,B_6,A_1]: (( ~ 'E'(s(s(s(s('0')))),f(B_6))| ~ iLEQ(suc(A_1),suc(B_6))| ~ 'E'(s(s(s(s('0')))),f(suc(B_6)))| ~ 'E'(s(s(s(s('0')))),f(suc(A_1)))| ~ 'E'(s(s(s(s('0')))),f(A_1))| 'E'(f(A_1),f(suc(A_1)))| 'E'(f(B_6),f(suc(B_6))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f38,axiom,(
% 0.09/0.43 (![LE,B_11,E]: (( ~ 'LE'(f(suc(B_11)),s(s(s(s('0')))))| 'E'(s(s(s('0'))),f(suc(B_11)))| 'LE'(f(B_11),s(s(s('0')))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f39,axiom,(
% 0.09/0.43 (![E,A_5]: (( ~ 'E'('0',f(A_5))| ~ 'E'('0',f(suc(A_5)))| 'E'(f(A_5),f(suc(A_5)))| iLEQ(suc(A_5),suc(A_5)) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f40,axiom,(
% 0.09/0.43 (![E,B_17,A_3]: (( ~ 'E'(s(s('0')),f(suc(B_17)))| ~ 'E'(s(s('0')),f(B_17))| ~ 'E'(s(s('0')),f(suc(A_3)))| ~ iLEQ(suc(A_3),suc(B_17))| ~ 'E'(s(s('0')),f(A_3))| 'E'(f(A_3),f(suc(A_3)))| 'E'(f(B_17),f(suc(B_17))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f41,axiom,(
% 0.09/0.43 (![LE,B_23,E]: (( ~ 'LE'(f(suc(suc(B_23))),s('0'))| 'E'('0',f(suc(suc(B_23))))| 'LE'(f(B_23),'0') ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f42,axiom,(
% 0.09/0.43 (![E,B_6,A_1]: (( ~ 'E'(s(s(s(s('0')))),f(B_6))| ~ iLEQ(suc(A_1),suc(B_6))| ~ 'E'(s(s(s(s('0')))),f(suc(B_6)))| ~ 'E'(s(s(s(s('0')))),f(suc(suc(A_1))))| ~ 'E'(s(s(s(s('0')))),f(suc(A_1)))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'(s(s(s(s('0')))),f(A_1))| 'E'(f(B_6),f(suc(B_6))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f43,axiom,(
% 0.09/0.43 (![A_2,B_12,E]: (( ~ iLEQ(suc(A_2),suc(B_12))| ~ 'E'(s(s(s('0'))),f(suc(A_2)))| ~ 'E'(s(s(s('0'))),f(B_12))| ~ 'E'(s(s(s('0'))),f(A_2))| ~ 'E'(f(B_12),f(suc(B_12)))| ~ 'E'(s(s(s('0'))),f(suc(B_12)))| ~ 'E'(s(s(s('0'))),f(suc(suc(B_12))))| ~ 'E'(s(s(s('0'))),f(suc(suc(A_2))))| ~ 'E'(f(A_2),f(suc(A_2))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f44,axiom,(
% 0.09/0.43 (![E,A_4]: (( ~ 'E'(s('0'),f(A_4))| ~ 'E'(s('0'),f(suc(A_4)))| 'E'(f(A_4),f(suc(A_4)))| iLEQ(suc(A_4),suc(A_4)) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f45,axiom,(
% 0.09/0.43 (![LE,A]: ('LE'(f(A),s(s(s(s(s('0')))))) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f46,axiom,(
% 0.09/0.43 (![E,B_6,A_1]: (( ~ 'E'(s(s(s(s('0')))),f(B_6))| ~ iLEQ(suc(A_1),suc(B_6))| ~ 'E'(s(s(s(s('0')))),f(suc(suc(B_6))))| ~ 'E'(s(s(s(s('0')))),f(suc(B_6)))| ~ 'E'(s(s(s(s('0')))),f(suc(suc(A_1))))| ~ 'E'(s(s(s(s('0')))),f(suc(A_1)))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'(s(s(s(s('0')))),f(A_1))| ~ 'E'(f(B_6),f(suc(B_6))) ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f47,axiom,(
% 0.09/0.43 (![LE,B_23,E]: (( ~ 'LE'(f(B_23),s('0'))| 'E'('0',f(B_23))| 'LE'(f(B_23),'0') ) ))),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f48,plain,(
% 0.09/0.43 ![A_3]: (((~'E'(s(s('0')),f(A_3))|~'E'(s(s('0')),f(suc(A_3))))|'E'(f(A_3),f(suc(A_3))))|iLEQ(suc(A_3),suc(A_3)))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.43 fof(f49,plain,(
% 0.09/0.43 ![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)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.43 fof(f50,plain,(
% 0.09/0.43 ![A_1]: (((~'E'(s(s(s(s('0')))),f(A_1))|~'E'(s(s(s(s('0')))),f(suc(A_1))))|'E'(f(A_1),f(suc(A_1))))|iLEQ(suc(A_1),suc(A_1)))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f2])).
% 0.09/0.43 fof(f51,plain,(
% 0.09/0.43 ![E,X0]: (~'E'(s(s(s(s('0')))),f(X0))|~'E'(s(s(s(s('0')))),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.43 fof(f52,plain,(
% 0.09/0.43 ![B_16]: ((~'LE'(f(B_16),s(s(s('0'))))|'E'(s(s('0')),f(B_16)))|'LE'(f(B_16),s(s('0'))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f3])).
% 0.09/0.43 fof(f53,plain,(
% 0.09/0.43 ![LE,X0,E]: (~'LE'(f(X0),s(s(s('0'))))|'E'(s(s('0')),f(X0))|'LE'(f(X0),s(s('0'))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f52])).
% 0.09/0.43 fof(f54,plain,(
% 0.09/0.43 ![A_4]: ((((~'E'(s('0'),f(suc(suc(A_4))))|~'E'(s('0'),f(suc(A_4))))|~'E'(f(A_4),f(suc(A_4))))|~'E'(s('0'),f(A_4)))|iLEQ(suc(A_4),suc(A_4)))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f4])).
% 0.09/0.43 fof(f55,plain,(
% 0.09/0.43 ![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)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f54])).
% 0.09/0.43 fof(f56,plain,(
% 0.09/0.43 ![B_24]: ((![A_5]: (((((~iLEQ(suc(A_5),suc(B_24))|~'E'('0',f(A_5)))|~'E'('0',f(suc(A_5))))|~'E'('0',f(suc(B_24))))|~'E'('0',f(B_24)))|'E'(f(A_5),f(suc(A_5)))))|'E'(f(B_24),f(suc(B_24))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f5])).
% 0.09/0.43 fof(f57,plain,(
% 0.09/0.43 ![X0,X1,E]: (~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(suc(X1)))|~'E'('0',f(X1))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f56])).
% 0.09/0.43 fof(f58,plain,(
% 0.09/0.43 ![A_2]: ((![B_12]: ((((((~iLEQ(suc(A_2),suc(B_12))|~'E'(s(s(s('0'))),f(suc(A_2))))|~'E'(s(s(s('0'))),f(B_12)))|~'E'(s(s(s('0'))),f(A_2)))|~'E'(f(B_12),f(suc(B_12))))|~'E'(s(s(s('0'))),f(suc(B_12))))|~'E'(s(s(s('0'))),f(suc(suc(B_12))))))|'E'(f(A_2),f(suc(A_2))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f6])).
% 0.09/0.43 fof(f59,plain,(
% 0.09/0.43 ![X0,X1,E]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(X0))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|'E'(f(X0),f(suc(X0))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f58])).
% 0.09/0.43 fof(f60,plain,(
% 0.09/0.43 ![A_2]: (((~'E'(s(s(s('0'))),f(A_2))|~'E'(s(s(s('0'))),f(suc(A_2))))|'E'(f(A_2),f(suc(A_2))))|iLEQ(suc(A_2),suc(A_2)))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f7])).
% 0.09/0.43 fof(f61,plain,(
% 0.09/0.43 ![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)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f60])).
% 0.09/0.43 fof(f62,plain,(
% 0.09/0.43 ![B_16]: ((~'LE'(f(suc(suc(B_16))),s(s(s('0'))))|'E'(s(s('0')),f(suc(suc(B_16)))))|'LE'(f(B_16),s(s('0'))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.43 fof(f63,plain,(
% 0.09/0.43 ![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'))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f62])).
% 0.09/0.43 fof(f64,plain,(
% 0.09/0.43 ![B_17]: ((![A_3]: (((((((~'E'(s(s('0')),f(suc(B_17)))|~'E'(s(s('0')),f(B_17)))|~'E'(s(s('0')),f(suc(A_3))))|~'E'(s(s('0')),f(suc(suc(A_3)))))|~iLEQ(suc(A_3),suc(B_17)))|~'E'(f(A_3),f(suc(A_3))))|~'E'(f(B_17),f(suc(B_17))))|~'E'(s(s('0')),f(A_3))))|~'E'(s(s('0')),f(suc(suc(B_17)))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f9])).
% 0.09/0.43 fof(f65,plain,(
% 0.09/0.43 ![E,X0,X1]: (~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X0))|~'E'(f(X1),f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|~'E'(s(s('0')),f(X1))|~'E'(s(s('0')),f(suc(suc(X0)))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f64])).
% 0.09/0.43 fof(f66,plain,(
% 0.09/0.43 ![A_2]: ((((~'E'(s(s(s('0'))),f(suc(suc(A_2))))|~'E'(s(s(s('0'))),f(suc(A_2))))|~'E'(f(A_2),f(suc(A_2))))|~'E'(s(s(s('0'))),f(A_2)))|iLEQ(suc(A_2),suc(A_2)))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f10])).
% 0.09/0.43 fof(f67,plain,(
% 0.09/0.43 ![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)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f66])).
% 0.09/0.43 fof(f68,plain,(
% 0.09/0.43 ![A_1]: ((((~'E'(s(s(s(s('0')))),f(suc(suc(A_1))))|~'E'(s(s(s(s('0')))),f(suc(A_1))))|~'E'(f(A_1),f(suc(A_1))))|~'E'(s(s(s(s('0')))),f(A_1)))|iLEQ(suc(A_1),suc(A_1)))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f11])).
% 0.09/0.43 fof(f69,plain,(
% 0.09/0.43 ![E,X0]: (~'E'(s(s(s(s('0')))),f(suc(suc(X0))))|~'E'(s(s(s(s('0')))),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~'E'(s(s(s(s('0')))),f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f68])).
% 0.09/0.43 fof(f70,plain,(
% 0.09/0.43 ![A_4]: (((![B_21]: (((((~iLEQ(suc(A_4),suc(B_21))|~'E'(s('0'),f(suc(B_21))))|~'E'(s('0'),f(suc(suc(B_21)))))|~'E'(s('0'),f(B_21)))|~'E'(s('0'),f(suc(A_4))))|~'E'(f(B_21),f(suc(B_21)))))|~'E'(s('0'),f(A_4)))|'E'(f(A_4),f(suc(A_4))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f12])).
% 0.09/0.43 fof(f71,plain,(
% 0.09/0.43 ![X0,X1,E]: (~iLEQ(suc(X0),suc(X1))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X0)))|~'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(X0))|'E'(f(X0),f(suc(X0))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f70])).
% 0.09/0.43 fof(f72,plain,(
% 0.09/0.43 ![B_20]: ((~'LE'(f(B_20),s(s('0')))|'E'(s('0'),f(B_20)))|'LE'(f(B_20),s('0')))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f13])).
% 0.09/0.43 fof(f73,plain,(
% 0.09/0.43 ![LE,X0,E]: (~'LE'(f(X0),s(s('0')))|'E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f72])).
% 0.09/0.43 fof(f74,plain,(
% 0.09/0.43 ![A_1]: ((![B_6]: ((((((~'E'(s(s(s(s('0')))),f(B_6))|~iLEQ(suc(A_1),suc(B_6)))|~'E'(s(s(s(s('0')))),f(suc(suc(B_6)))))|~'E'(s(s(s(s('0')))),f(suc(B_6))))|~'E'(s(s(s(s('0')))),f(suc(A_1))))|~'E'(s(s(s(s('0')))),f(A_1)))|~'E'(f(B_6),f(suc(B_6)))))|'E'(f(A_1),f(suc(A_1))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f14])).
% 0.09/0.43 fof(f75,plain,(
% 0.09/0.43 ![E,X0,X1]: (~'E'(s(s(s(s('0')))),f(X0))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s(s(s('0')))),f(suc(suc(X0))))|~'E'(s(s(s(s('0')))),f(suc(X0)))|~'E'(s(s(s(s('0')))),f(suc(X1)))|~'E'(s(s(s(s('0')))),f(X1))|~'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f74])).
% 0.09/0.43 fof(f76,plain,(
% 0.09/0.43 ![B_5]: ((~'LE'(f(suc(B_5)),s(s(s(s(s('0'))))))|'E'(s(s(s(s('0')))),f(suc(B_5))))|'LE'(f(B_5),s(s(s(s('0'))))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f15])).
% 0.09/0.43 fof(f77,plain,(
% 0.09/0.43 ![LE,X0,E]: (~'LE'(f(suc(X0)),s(s(s(s(s('0'))))))|'E'(s(s(s(s('0')))),f(suc(X0)))|'LE'(f(X0),s(s(s(s('0'))))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f76])).
% 0.09/0.43 fof(f78,plain,(
% 0.09/0.43 ![B_5]: ((~'LE'(f(suc(suc(B_5))),s(s(s(s(s('0'))))))|'E'(s(s(s(s('0')))),f(suc(suc(B_5)))))|'LE'(f(B_5),s(s(s(s('0'))))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f16])).
% 0.09/0.43 fof(f79,plain,(
% 0.09/0.43 ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s(s(s(s(s('0'))))))|'E'(s(s(s(s('0')))),f(suc(suc(X0))))|'LE'(f(X0),s(s(s(s('0'))))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f78])).
% 0.09/0.43 fof(f80,plain,(
% 0.09/0.43 ![A_3]: ((((~'E'(s(s('0')),f(suc(suc(A_3))))|~'E'(s(s('0')),f(suc(A_3))))|~'E'(f(A_3),f(suc(A_3))))|~'E'(s(s('0')),f(A_3)))|iLEQ(suc(A_3),suc(A_3)))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f17])).
% 0.09/0.43 fof(f81,plain,(
% 0.09/0.43 ![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)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f80])).
% 0.09/0.43 fof(f82,plain,(
% 0.09/0.43 ![B_11]: ((~'LE'(f(B_11),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(B_11)))|'LE'(f(B_11),s(s(s('0')))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f18])).
% 0.09/0.43 fof(f83,plain,(
% 0.09/0.43 ![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')))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f82])).
% 0.09/0.43 fof(f84,plain,(
% 0.09/0.43 ![B_16]: ((~'LE'(f(suc(B_16)),s(s(s('0'))))|'E'(s(s('0')),f(suc(B_16))))|'LE'(f(B_16),s(s('0'))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f19])).
% 0.09/0.43 fof(f85,plain,(
% 0.09/0.43 ![LE,X0,E]: (~'LE'(f(suc(X0)),s(s(s('0'))))|'E'(s(s('0')),f(suc(X0)))|'LE'(f(X0),s(s('0'))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.43 fof(f86,plain,(
% 0.09/0.43 ![LE]: (~'LE'(f(z),'0'))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.43 fof(f87,plain,(
% 0.09/0.43 ![A_4]: ((![B_21]: (((((((~iLEQ(suc(A_4),suc(B_21))|~'E'(f(A_4),f(suc(A_4))))|~'E'(s('0'),f(suc(B_21))))|~'E'(s('0'),f(suc(suc(B_21)))))|~'E'(s('0'),f(B_21)))|~'E'(s('0'),f(suc(suc(A_4)))))|~'E'(s('0'),f(suc(A_4))))|~'E'(f(B_21),f(suc(B_21)))))|~'E'(s('0'),f(A_4)))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f21])).
% 0.09/0.43 fof(f88,plain,(
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% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f87])).
% 0.09/0.43 fof(f89,plain,(
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% 0.09/0.43 inference(miniscoping,[status(thm)],[f22])).
% 0.09/0.43 fof(f90,plain,(
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% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f89])).
% 0.09/0.43 fof(f91,plain,(
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% 0.09/0.43 inference(miniscoping,[status(thm)],[f23])).
% 0.09/0.43 fof(f92,plain,(
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% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f91])).
% 0.09/0.43 fof(f93,plain,(
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% 0.09/0.43 inference(miniscoping,[status(thm)],[f24])).
% 0.09/0.43 fof(f94,plain,(
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% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f93])).
% 0.09/0.43 fof(f95,plain,(
% 0.09/0.43 ![A_3]: ((![B_17]: ((((((~'E'(s(s('0')),f(suc(B_17)))|~'E'(s(s('0')),f(B_17)))|~'E'(s(s('0')),f(suc(A_3))))|~iLEQ(suc(A_3),suc(B_17)))|~'E'(f(B_17),f(suc(B_17))))|~'E'(s(s('0')),f(A_3)))|~'E'(s(s('0')),f(suc(suc(B_17))))))|'E'(f(A_3),f(suc(A_3))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f25])).
% 0.09/0.43 fof(f96,plain,(
% 0.09/0.43 ![E,X0,X1]: (~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~iLEQ(suc(X1),suc(X0))|~'E'(f(X0),f(suc(X0)))|~'E'(s(s('0')),f(X1))|~'E'(s(s('0')),f(suc(suc(X0))))|'E'(f(X1),f(suc(X1))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f95])).
% 0.09/0.43 fof(f99,plain,(
% 0.09/0.43 ![A_5]: ((![B_24]: ((((((~'E'(f(B_24),f(suc(B_24)))|~'E'('0',f(suc(suc(B_24)))))|~iLEQ(suc(A_5),suc(B_24)))|~'E'('0',f(A_5)))|~'E'('0',f(suc(A_5))))|~'E'('0',f(suc(B_24))))|~'E'('0',f(B_24))))|'E'(f(A_5),f(suc(A_5))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f27])).
% 0.09/0.43 fof(f100,plain,(
% 0.09/0.43 ![E,X0,X1]: (~'E'(f(X0),f(suc(X0)))|~'E'('0',f(suc(suc(X0))))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|'E'(f(X1),f(suc(X1))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f99])).
% 0.09/0.43 fof(f101,plain,(
% 0.09/0.43 ![B_12]: ((![A_2]: ((((((~iLEQ(suc(A_2),suc(B_12))|~'E'(s(s(s('0'))),f(suc(A_2))))|~'E'(s(s(s('0'))),f(B_12)))|~'E'(s(s(s('0'))),f(A_2)))|~'E'(s(s(s('0'))),f(suc(B_12))))|~'E'(s(s(s('0'))),f(suc(suc(A_2)))))|~'E'(f(A_2),f(suc(A_2)))))|'E'(f(B_12),f(suc(B_12))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f28])).
% 0.09/0.43 fof(f102,plain,(
% 0.09/0.43 ![X0,X1,E]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f101])).
% 0.09/0.43 fof(f103,plain,(
% 0.09/0.43 ![B_23]: ((~'LE'(f(suc(B_23)),s('0'))|'E'('0',f(suc(B_23))))|'LE'(f(B_23),'0'))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f29])).
% 0.09/0.43 fof(f104,plain,(
% 0.09/0.43 ![LE,X0,E]: (~'LE'(f(suc(X0)),s('0'))|'E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f103])).
% 0.09/0.43 fof(f105,plain,(
% 0.09/0.43 ![B_21]: ((![A_4]: ((((((~iLEQ(suc(A_4),suc(B_21))|~'E'(f(A_4),f(suc(A_4))))|~'E'(s('0'),f(suc(B_21))))|~'E'(s('0'),f(B_21)))|~'E'(s('0'),f(suc(suc(A_4)))))|~'E'(s('0'),f(suc(A_4))))|~'E'(s('0'),f(A_4))))|'E'(f(B_21),f(suc(B_21))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f30])).
% 0.09/0.43 fof(f106,plain,(
% 0.09/0.43 ![X0,X1,E]: (~iLEQ(suc(X0),suc(X1))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|'E'(f(X1),f(suc(X1))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f105])).
% 0.09/0.43 fof(f107,plain,(
% 0.09/0.43 ![B_20]: ((~'LE'(f(suc(B_20)),s(s('0')))|'E'(s('0'),f(suc(B_20))))|'LE'(f(B_20),s('0')))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f31])).
% 0.09/0.43 fof(f108,plain,(
% 0.09/0.43 ![LE,X0,E]: (~'LE'(f(suc(X0)),s(s('0')))|'E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f107])).
% 0.09/0.43 fof(f109,plain,(
% 0.09/0.43 ![B_21]: ((![A_4]: (((((~iLEQ(suc(A_4),suc(B_21))|~'E'(s('0'),f(suc(B_21))))|~'E'(s('0'),f(B_21)))|~'E'(s('0'),f(suc(A_4))))|~'E'(s('0'),f(A_4)))|'E'(f(A_4),f(suc(A_4)))))|'E'(f(B_21),f(suc(B_21))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f32])).
% 0.09/0.43 fof(f110,plain,(
% 0.09/0.43 ![X0,X1,E]: (~iLEQ(suc(X0),suc(X1))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f109])).
% 0.09/0.43 fof(f111,plain,(
% 0.09/0.43 ![A_5]: ((![B_24]: (((((((~'E'(f(B_24),f(suc(B_24)))|~'E'('0',f(suc(suc(B_24)))))|~iLEQ(suc(A_5),suc(B_24)))|~'E'('0',f(A_5)))|~'E'('0',f(suc(A_5))))|~'E'('0',f(suc(suc(A_5)))))|~'E'('0',f(suc(B_24))))|~'E'('0',f(B_24))))|~'E'(f(A_5),f(suc(A_5))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f33])).
% 0.09/0.43 fof(f112,plain,(
% 0.09/0.43 ![E,X0,X1]: (~'E'(f(X0),f(suc(X0)))|~'E'('0',f(suc(suc(X0))))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|~'E'(f(X1),f(suc(X1))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f111])).
% 0.09/0.43 fof(f113,plain,(
% 0.09/0.43 ![B_20]: ((~'LE'(f(suc(suc(B_20))),s(s('0')))|'E'(s('0'),f(suc(suc(B_20)))))|'LE'(f(B_20),s('0')))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f34])).
% 0.09/0.43 fof(f114,plain,(
% 0.09/0.43 ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s(s('0')))|'E'(s('0'),f(suc(suc(X0))))|'LE'(f(X0),s('0')))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f113])).
% 0.09/0.43 fof(f115,plain,(
% 0.09/0.43 ![B_5]: ((~'LE'(f(B_5),s(s(s(s(s('0'))))))|'E'(s(s(s(s('0')))),f(B_5)))|'LE'(f(B_5),s(s(s(s('0'))))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f35])).
% 0.09/0.43 fof(f116,plain,(
% 0.09/0.43 ![LE,X0,E]: (~'LE'(f(X0),s(s(s(s(s('0'))))))|'E'(s(s(s(s('0')))),f(X0))|'LE'(f(X0),s(s(s(s('0'))))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f115])).
% 0.09/0.43 fof(f117,plain,(
% 0.09/0.43 ![A_5]: ((((~'E'('0',f(suc(suc(A_5))))|~'E'('0',f(suc(A_5))))|~'E'(f(A_5),f(suc(A_5))))|~'E'('0',f(A_5)))|iLEQ(suc(A_5),suc(A_5)))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f36])).
% 0.09/0.43 fof(f118,plain,(
% 0.09/0.43 ![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)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f117])).
% 0.09/0.43 fof(f119,plain,(
% 0.09/0.43 ![B_6]: ((![A_1]: (((((~'E'(s(s(s(s('0')))),f(B_6))|~iLEQ(suc(A_1),suc(B_6)))|~'E'(s(s(s(s('0')))),f(suc(B_6))))|~'E'(s(s(s(s('0')))),f(suc(A_1))))|~'E'(s(s(s(s('0')))),f(A_1)))|'E'(f(A_1),f(suc(A_1)))))|'E'(f(B_6),f(suc(B_6))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f37])).
% 0.09/0.43 fof(f120,plain,(
% 0.09/0.43 ![E,X0,X1]: (~'E'(s(s(s(s('0')))),f(X0))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s(s(s('0')))),f(suc(X0)))|~'E'(s(s(s(s('0')))),f(suc(X1)))|~'E'(s(s(s(s('0')))),f(X1))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f119])).
% 0.09/0.43 fof(f121,plain,(
% 0.09/0.43 ![B_11]: ((~'LE'(f(suc(B_11)),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(suc(B_11))))|'LE'(f(B_11),s(s(s('0')))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f38])).
% 0.09/0.43 fof(f122,plain,(
% 0.09/0.43 ![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')))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f121])).
% 0.09/0.43 fof(f123,plain,(
% 0.09/0.43 ![A_5]: (((~'E'('0',f(A_5))|~'E'('0',f(suc(A_5))))|'E'(f(A_5),f(suc(A_5))))|iLEQ(suc(A_5),suc(A_5)))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f39])).
% 0.09/0.43 fof(f124,plain,(
% 0.09/0.43 ![E,X0]: (~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f123])).
% 0.09/0.43 fof(f125,plain,(
% 0.09/0.43 ![B_17]: ((![A_3]: (((((~'E'(s(s('0')),f(suc(B_17)))|~'E'(s(s('0')),f(B_17)))|~'E'(s(s('0')),f(suc(A_3))))|~iLEQ(suc(A_3),suc(B_17)))|~'E'(s(s('0')),f(A_3)))|'E'(f(A_3),f(suc(A_3)))))|'E'(f(B_17),f(suc(B_17))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f40])).
% 0.09/0.43 fof(f126,plain,(
% 0.09/0.43 ![E,X0,X1]: (~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s('0')),f(X1))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f125])).
% 0.09/0.43 fof(f127,plain,(
% 0.09/0.43 ![B_23]: ((~'LE'(f(suc(suc(B_23))),s('0'))|'E'('0',f(suc(suc(B_23)))))|'LE'(f(B_23),'0'))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f41])).
% 0.09/0.43 fof(f128,plain,(
% 0.09/0.43 ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s('0'))|'E'('0',f(suc(suc(X0))))|'LE'(f(X0),'0'))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f127])).
% 0.09/0.43 fof(f129,plain,(
% 0.09/0.43 ![B_6]: ((![A_1]: ((((((~'E'(s(s(s(s('0')))),f(B_6))|~iLEQ(suc(A_1),suc(B_6)))|~'E'(s(s(s(s('0')))),f(suc(B_6))))|~'E'(s(s(s(s('0')))),f(suc(suc(A_1)))))|~'E'(s(s(s(s('0')))),f(suc(A_1))))|~'E'(f(A_1),f(suc(A_1))))|~'E'(s(s(s(s('0')))),f(A_1))))|'E'(f(B_6),f(suc(B_6))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f42])).
% 0.09/0.43 fof(f130,plain,(
% 0.09/0.43 ![E,X0,X1]: (~'E'(s(s(s(s('0')))),f(X0))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s(s(s('0')))),f(suc(X0)))|~'E'(s(s(s(s('0')))),f(suc(suc(X1))))|~'E'(s(s(s(s('0')))),f(suc(X1)))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s(s(s('0')))),f(X1))|'E'(f(X0),f(suc(X0))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f129])).
% 0.09/0.43 fof(f131,plain,(
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% 0.09/0.43 inference(miniscoping,[status(thm)],[f43])).
% 0.09/0.43 fof(f132,plain,(
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% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f131])).
% 0.09/0.43 fof(f133,plain,(
% 0.09/0.43 ![A_4]: (((~'E'(s('0'),f(A_4))|~'E'(s('0'),f(suc(A_4))))|'E'(f(A_4),f(suc(A_4))))|iLEQ(suc(A_4),suc(A_4)))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f44])).
% 0.09/0.43 fof(f134,plain,(
% 0.09/0.43 ![E,X0]: (~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f133])).
% 0.09/0.43 fof(f135,plain,(
% 0.09/0.43 ![A]: 'LE'(f(A),s(s(s(s(s('0'))))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f45])).
% 0.09/0.43 fof(f136,plain,(
% 0.09/0.43 ![LE,X0]: ('LE'(f(X0),s(s(s(s(s('0')))))))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f135])).
% 0.09/0.43 fof(f137,plain,(
% 0.09/0.43 ![B_6]: ((![A_1]: (((((((~'E'(s(s(s(s('0')))),f(B_6))|~iLEQ(suc(A_1),suc(B_6)))|~'E'(s(s(s(s('0')))),f(suc(suc(B_6)))))|~'E'(s(s(s(s('0')))),f(suc(B_6))))|~'E'(s(s(s(s('0')))),f(suc(suc(A_1)))))|~'E'(s(s(s(s('0')))),f(suc(A_1))))|~'E'(f(A_1),f(suc(A_1))))|~'E'(s(s(s(s('0')))),f(A_1))))|~'E'(f(B_6),f(suc(B_6))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f46])).
% 0.09/0.43 fof(f138,plain,(
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% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f137])).
% 0.09/0.43 fof(f139,plain,(
% 0.09/0.43 ![B_23]: ((~'LE'(f(B_23),s('0'))|'E'('0',f(B_23)))|'LE'(f(B_23),'0'))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f47])).
% 0.09/0.43 fof(f140,plain,(
% 0.09/0.43 ![LE,X0,E]: (~'LE'(f(X0),s('0'))|'E'('0',f(X0))|'LE'(f(X0),'0'))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f139])).
% 0.09/0.43 fof(f141,plain,(
% 0.09/0.43 ![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)))),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f67,f61])).
% 0.09/0.43 fof(f142,plain,(
% 0.09/0.43 ![E,X0]: (~'E'(s(s(s(s('0')))),f(suc(suc(X0))))|~'E'(s(s(s(s('0')))),f(suc(X0)))|~'E'(s(s(s(s('0')))),f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f69,f51])).
% 0.09/0.43 fof(f143,plain,(
% 0.09/0.43 ![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)))),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f81,f49])).
% 0.09/0.43 fof(f144,plain,(
% 0.09/0.43 ![X0,X1,E]: (~iLEQ(suc(X0),suc(X1))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(X0)))),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f88,f71])).
% 0.09/0.43 fof(f145,plain,(
% 0.09/0.43 ![X0,X1,E]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|'E'(f(X0),f(suc(X0))))),
% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f59,f90])).
% 0.09/0.43 fof(f146,plain,(
% 0.09/0.43 ![E,X0,X1]: (~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X0))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s('0')),f(X1))|~'E'(s(s('0')),f(suc(suc(X0)))))),
% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f65,f94])).
% 0.09/0.43 fof(f148,plain,(
% 0.09/0.43 ![E,X0,X1]: (~'E'('0',f(suc(suc(X0))))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|'E'(f(X1),f(suc(X1))))),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f100,f57])).
% 0.09/0.43 fof(f149,plain,(
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% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f102,f90])).
% 0.09/0.43 fof(f150,plain,(
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% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f106,f110])).
% 0.09/0.43 fof(f152,plain,(
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% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f112,f148])).
% 0.09/0.43 fof(f153,plain,(
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% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f75,f120])).
% 0.09/0.43 fof(f154,plain,(
% 0.09/0.43 ![E,X0]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f118,f124])).
% 0.09/0.43 fof(f156,plain,(
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% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f96,f126])).
% 0.09/0.43 fof(f157,plain,(
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% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f130,f120])).
% 0.09/0.43 fof(f158,plain,(
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% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f132,f149])).
% 0.09/0.43 fof(f159,plain,(
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% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f55,f134])).
% 0.09/0.43 fof(f160,plain,(
% 0.09/0.43 ![E,X0,LE]: ('E'(s(s(s(s('0')))),f(suc(suc(X0))))|'LE'(f(X0),s(s(s(s('0'))))))),
% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f79,f136])).
% 0.09/0.43 fof(f161,plain,(
% 0.09/0.43 ![E,X0,LE]: ('E'(s(s(s(s('0')))),f(suc(X0)))|'LE'(f(X0),s(s(s(s('0'))))))),
% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f77,f136])).
% 0.09/0.43 fof(f162,plain,(
% 0.09/0.43 ![E,X0,LE]: ('E'(s(s(s(s('0')))),f(X0))|'LE'(f(X0),s(s(s(s('0'))))))),
% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f116,f136])).
% 0.09/0.43 fof(f163,plain,(
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% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f138,f157])).
% 0.09/0.43 fof(f164,plain,(
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% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f158,f145])).
% 0.09/0.43 fof(f165,plain,(
% 0.09/0.43 ![X0,X1,E]: (~iLEQ(suc(X0),suc(X1))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0)))),
% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f144,f150])).
% 0.09/0.43 fof(f166,plain,(
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% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f163,f153])).
% 0.09/0.43 fof(f167,plain,(
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% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f146,f156])).
% 0.09/0.43 fof(f170,plain,(
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% 0.09/0.43 inference(resolution,[status(thm)],[f166,f142])).
% 0.09/0.43 fof(f171,plain,(
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% 0.09/0.43 inference(duplicate_literals_removal,[status(thm)],[f170])).
% 0.09/0.43 fof(f172,plain,(
% 0.09/0.43 ![E,X0,LE]: (~'E'(s(s(s(s('0')))),f(X0))|~'E'(s(s(s(s('0')))),f(suc(X0)))|'LE'(f(X0),s(s(s(s('0'))))))),
% 0.09/0.43 inference(resolution,[status(thm)],[f171,f160])).
% 0.09/0.43 fof(f178,plain,(
% 0.09/0.43 ![LE,X0]: ('LE'(f(X0),s(s(s(s('0'))))))),
% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f161,f179])).
% 0.09/0.43 fof(f179,plain,(
% 0.09/0.43 ![E,X0,LE]: (~'E'(s(s(s(s('0')))),f(suc(X0)))|'LE'(f(X0),s(s(s(s('0'))))))),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f172,f162])).
% 0.09/0.43 fof(f183,plain,(
% 0.09/0.43 ![E,X0,LE]: ('E'(s(s(s('0'))),f(suc(suc(X0))))|'LE'(f(X0),s(s(s('0')))))),
% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f92,f178])).
% 0.09/0.43 fof(f184,plain,(
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% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f122,f178])).
% 0.09/0.43 fof(f185,plain,(
% 0.09/0.43 ![E,X0,LE]: ('E'(s(s(s('0'))),f(X0))|'LE'(f(X0),s(s(s('0')))))),
% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f83,f178])).
% 0.09/0.43 fof(f212,plain,(
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% 0.09/0.43 inference(resolution,[status(thm)],[f183,f164])).
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% 0.09/0.43 inference(resolution,[status(thm)],[f183,f141])).
% 0.09/0.43 fof(f228,plain,(
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% 0.09/0.43 inference(duplicate_literals_removal,[status(thm)],[f212])).
% 0.09/0.43 fof(f229,plain,(
% 0.09/0.43 ![LE,X0,E]: ('LE'(f(X0),s(s(s('0'))))|~iLEQ(suc(X0),suc(X0))|~'E'(s(s(s('0'))),f(suc(X0))))),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f228,f185])).
% 0.09/0.43 fof(f235,plain,(
% 0.09/0.43 ![LE,X0,E]: ('LE'(f(X0),s(s(s('0'))))|~'E'(s(s(s('0'))),f(suc(X0))))),
% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f229,f236])).
% 0.09/0.43 fof(f236,plain,(
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% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f217,f185])).
% 0.09/0.43 fof(f244,plain,(
% 0.09/0.43 ![E,X0,LE]: ('E'(s(s('0')),f(suc(suc(X0))))|'LE'(f(X0),s(s('0'))))),
% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f63,f247])).
% 0.09/0.43 fof(f245,plain,(
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% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f85,f247])).
% 0.09/0.43 fof(f246,plain,(
% 0.09/0.43 ![E,X0,LE]: ('E'(s(s('0')),f(X0))|'LE'(f(X0),s(s('0'))))),
% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f53,f247])).
% 0.09/0.43 fof(f247,plain,(
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% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f235,f184])).
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% 0.09/0.43 inference(resolution,[status(thm)],[f244,f167])).
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% 0.09/0.43 inference(resolution,[status(thm)],[f244,f143])).
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% 0.09/0.43 inference(duplicate_literals_removal,[status(thm)],[f307])).
% 0.09/0.43 fof(f324,plain,(
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% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f323,f245])).
% 0.09/0.43 fof(f330,plain,(
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% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f324,f331])).
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% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f312,f245])).
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% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f114,f342])).
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% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f73,f342])).
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% 0.09/0.43 inference(resolution,[status(thm)],[f339,f165])).
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% 0.09/0.43 inference(resolution,[status(thm)],[f339,f159])).
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% 0.09/0.43 inference(duplicate_literals_removal,[status(thm)],[f376])).
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% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f385,f340])).
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% 0.09/0.43 inference(backward_subsumption_resolution,[status(thm)],[f386,f393])).
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% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f392,f341])).
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% 0.09/0.44 inference(resolution,[status(thm)],[f397,f57])).
% 0.09/0.44 fof(f444,plain,(
% 0.09/0.44 ![LE,X0,E]: ('LE'(f(X0),'0')|~'E'('0',f(X0))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.09/0.44 inference(resolution,[status(thm)],[f397,f124])).
% 0.09/0.44 fof(f457,plain,(
% 0.09/0.44 ![LE,X0,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X0))|'E'(f(X0),f(suc(X0))))),
% 0.09/0.44 inference(duplicate_literals_removal,[status(thm)],[f440])).
% 0.09/0.44 fof(f458,plain,(
% 0.09/0.44 ![LE,X0,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X0),suc(X0))|'E'(f(X0),f(suc(X0))))),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f457,f398])).
% 0.09/0.44 fof(f461,plain,(
% 0.09/0.44 ![LE,X0,E]: ('LE'(f(X0),'0')|'E'(f(X0),f(suc(X0))))),
% 0.09/0.44 inference(backward_subsumption_resolution,[status(thm)],[f458,f462])).
% 0.09/0.44 fof(f462,plain,(
% 0.09/0.44 ![LE,X0,E]: ('LE'(f(X0),'0')|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f444,f398])).
% 0.09/0.44 fof(f467,plain,(
% 0.09/0.44 ![LE,X0,E,X1]: ('LE'(f(X0),'0')|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(suc(suc(X1))))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~'E'('0',f(suc(X1)))|~'E'('0',f(X1)))),
% 0.09/0.44 inference(resolution,[status(thm)],[f396,f152])).
% 0.09/0.44 fof(f471,plain,(
% 0.09/0.44 ![LE,X0,E]: ('LE'(f(X0),'0')|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.09/0.44 inference(resolution,[status(thm)],[f396,f154])).
% 0.09/0.44 fof(f485,plain,(
% 0.09/0.44 ![LE,X0,E,X1]: ('LE'(f(X0),'0')|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(suc(suc(X1))))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X0))|~'E'('0',f(suc(X1)))|~'E'('0',f(X1)))),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f467,f397])).
% 0.09/0.44 fof(f490,plain,(
% 0.09/0.44 ![LE,X0,E]: ('LE'(f(X0),'0')|~'E'('0',f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f471,f397])).
% 0.09/0.44 fof(f551,plain,(
% 0.09/0.44 ![LE,X0,E,X1]: ('LE'(f(X0),'0')|~'E'(f(X1),f(suc(X1)))|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X0))|~'E'('0',f(suc(X1)))|~'E'('0',f(X1))|'LE'(f(X1),'0'))),
% 0.09/0.44 inference(resolution,[status(thm)],[f485,f396])).
% 0.09/0.44 fof(f554,plain,(
% 0.09/0.44 ![LE,X0,X1,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X0))|~'E'('0',f(suc(X1)))|~'E'('0',f(X1))|'LE'(f(X1),'0'))),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f551,f461])).
% 0.09/0.44 fof(f569,plain,(
% 0.09/0.44 ![LE,X0,X1,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X0))|~'E'('0',f(X1))|'LE'(f(X1),'0')|'LE'(f(X1),'0'))),
% 0.09/0.44 inference(resolution,[status(thm)],[f554,f397])).
% 0.09/0.44 fof(f574,plain,(
% 0.09/0.44 ![LE,X0,X1,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X0))|~'E'('0',f(X1))|'LE'(f(X1),'0'))),
% 0.09/0.44 inference(duplicate_literals_removal,[status(thm)],[f569])).
% 0.09/0.44 fof(f575,plain,(
% 0.09/0.44 ![LE,X0,X1,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X0),suc(X1))|~'E'('0',f(X1))|'LE'(f(X1),'0'))),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f574,f398])).
% 0.09/0.44 fof(f581,plain,(
% 0.09/0.44 ![LE,X0,X1]: ('LE'(f(X0),'0')|~iLEQ(suc(X0),suc(X1))|'LE'(f(X1),'0')|'LE'(f(X1),'0'))),
% 0.09/0.44 inference(resolution,[status(thm)],[f575,f398])).
% 0.09/0.44 fof(f582,plain,(
% 0.09/0.44 ![LE,X0,X1]: ('LE'(f(X0),'0')|~iLEQ(suc(X0),suc(X1))|'LE'(f(X1),'0'))),
% 0.09/0.44 inference(duplicate_literals_removal,[status(thm)],[f581])).
% 0.09/0.44 fof(f585,plain,(
% 0.09/0.44 ![LE,X0,E]: ('LE'(f(X0),'0')|'LE'(f(X0),'0')|'LE'(f(X0),'0')|~'E'('0',f(X0)))),
% 0.09/0.44 inference(resolution,[status(thm)],[f582,f490])).
% 0.09/0.44 fof(f588,plain,(
% 0.09/0.44 ![LE,X0,E]: ('LE'(f(X0),'0')|~'E'('0',f(X0)))),
% 0.09/0.44 inference(duplicate_literals_removal,[status(thm)],[f585])).
% 0.09/0.44 fof(f590,plain,(
% 0.09/0.44 ![LE,X0]: ('LE'(f(X0),'0'))),
% 0.09/0.44 inference(forward_subsumption_resolution,[status(thm)],[f588,f398])).
% 0.09/0.44 fof(f591,plain,(
% 0.09/0.44 $false),
% 0.09/0.44 inference(backward_subsumption_resolution,[status(thm)],[f86,f590])).
% 0.09/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.45 % Elapsed time: 0.075224 seconds
% 0.09/0.45 % CPU time: 0.402898 seconds
% 0.09/0.45 % Total memory used: 13.372 MB
% 0.09/0.45 % Net memory used: 11.942 MB
%------------------------------------------------------------------------------