%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO661-1 : 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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:44:44 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO661-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n014.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 12:08:06 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.42 % Refutation found
% 0.12/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.42 fof(f1,axiom,(
% 0.12/0.42 (![LE]: (~ 'LE'(f(z),'0') ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f3,axiom,(
% 0.12/0.42 (![LE,B_17,E]: (( ~ 'LE'(f(suc(suc(B_17))),s('0'))| 'E'('0',f(suc(suc(B_17))))| 'LE'(f(B_17),'0') ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f4,axiom,(
% 0.12/0.42 (![E,B_11,B_12,A_1]: (( ~ 'E'(s('0'),f(suc(B_11)))| ~ 'E'(s('0'),f(B_12))| ~ 'E'(s('0'),f(A_1))| ~ 'E'(s('0'),f(suc(B_12)))| ~ 'E'(s('0'),f(suc(A_1)))| ~ 'E'(s('0'),f(B_11))| ~ iLEQ(suc(A_1),suc(B_11))| ~ iLEQ(suc(B_11),suc(B_12))| 'E'(f(A_1),f(suc(A_1)))| 'E'(f(B_11),f(suc(B_11)))| 'E'(f(B_12),f(suc(B_12))) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f5,axiom,(
% 0.12/0.42 (![E,B_11,B_12,A_1]: (( ~ 'E'(s('0'),f(suc(B_11)))| ~ 'E'(s('0'),f(B_12))| ~ 'E'(s('0'),f(suc(suc(A_1))))| ~ 'E'(s('0'),f(A_1))| ~ 'E'(s('0'),f(suc(B_12)))| ~ 'E'(s('0'),f(suc(A_1)))| ~ 'E'(s('0'),f(suc(suc(B_12))))| ~ 'E'(f(B_12),f(suc(B_12)))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'(s('0'),f(suc(suc(B_11))))| ~ 'E'(s('0'),f(B_11))| ~ 'E'(f(B_11),f(suc(B_11)))| ~ iLEQ(suc(A_1),suc(B_11))| ~ iLEQ(suc(B_11),suc(B_12)) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f6,axiom,(
% 0.12/0.42 (![LE,A]: ('LE'(f(A),s(s('0'))) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f7,axiom,(
% 0.12/0.42 (![LE,B_10,E]: (( ~ 'LE'(f(suc(B_10)),s(s('0')))| 'E'(s('0'),f(suc(B_10)))| 'LE'(f(B_10),s('0')) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f8,axiom,(
% 0.12/0.42 (![LE,B_17,E]: (( ~ 'LE'(f(suc(B_17)),s('0'))| 'E'('0',f(suc(B_17)))| 'LE'(f(B_17),'0') ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f9,axiom,(
% 0.12/0.42 (![LE,B_17,E]: (( ~ 'LE'(f(B_17),s('0'))| 'E'('0',f(B_17))| 'LE'(f(B_17),'0') ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f10,axiom,(
% 0.12/0.42 (![E,A_1]: (( ~ 'E'(s('0'),f(A_1))| ~ 'E'(s('0'),f(suc(A_1)))| 'E'(f(A_1),f(suc(A_1)))| iLEQ(suc(A_1),suc(A_1)) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f11,axiom,(
% 0.12/0.42 (![E,B_11,B_12,A_1]: (( ~ 'E'(s('0'),f(suc(B_11)))| ~ 'E'(s('0'),f(B_12))| ~ 'E'(s('0'),f(suc(suc(A_1))))| ~ 'E'(s('0'),f(A_1))| ~ 'E'(s('0'),f(suc(B_12)))| ~ 'E'(s('0'),f(suc(A_1)))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'(s('0'),f(suc(suc(B_11))))| ~ 'E'(s('0'),f(B_11))| ~ 'E'(f(B_11),f(suc(B_11)))| ~ iLEQ(suc(A_1),suc(B_11))| ~ iLEQ(suc(B_11),suc(B_12))| 'E'(f(B_12),f(suc(B_12))) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f14,axiom,(
% 0.12/0.42 (![E,B_11,B_12,A_1]: (( ~ 'E'(s('0'),f(suc(B_11)))| ~ 'E'(s('0'),f(B_12))| ~ 'E'(s('0'),f(suc(suc(A_1))))| ~ 'E'(s('0'),f(A_1))| ~ 'E'(s('0'),f(suc(B_12)))| ~ 'E'(s('0'),f(suc(A_1)))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'(s('0'),f(B_11))| ~ iLEQ(suc(A_1),suc(B_11))| ~ iLEQ(suc(B_11),suc(B_12))| 'E'(f(B_11),f(suc(B_11)))| 'E'(f(B_12),f(suc(B_12))) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f15,axiom,(
% 0.12/0.42 (![E,A_2]: (( ~ 'E'('0',f(A_2))| ~ 'E'('0',f(suc(A_2)))| 'E'(f(A_2),f(suc(A_2)))| iLEQ(suc(A_2),suc(A_2)) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f18,axiom,(
% 0.12/0.42 (![E,B_18,A_2,B_19]: (( ~ 'E'('0',f(suc(suc(B_18))))| ~ 'E'('0',f(suc(A_2)))| ~ 'E'('0',f(suc(suc(A_2))))| ~ 'E'('0',f(suc(B_19)))| ~ iLEQ(suc(B_18),suc(B_19))| ~ 'E'('0',f(A_2))| ~ 'E'('0',f(B_19))| ~ 'E'('0',f(suc(suc(B_19))))| ~ 'E'(f(B_18),f(suc(B_18)))| ~ 'E'('0',f(B_18))| ~ 'E'('0',f(suc(B_18)))| ~ 'E'(f(B_19),f(suc(B_19)))| ~ iLEQ(suc(A_2),suc(B_18))| ~ 'E'(f(A_2),f(suc(A_2))) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f20,axiom,(
% 0.12/0.42 (![E,A_2,B_19,B_18]: (( ~ 'E'('0',f(suc(A_2)))| ~ 'E'('0',f(suc(B_19)))| ~ iLEQ(suc(B_18),suc(B_19))| ~ 'E'('0',f(A_2))| ~ 'E'('0',f(B_19))| ~ 'E'('0',f(B_18))| ~ 'E'('0',f(suc(B_18)))| ~ iLEQ(suc(A_2),suc(B_18))| 'E'(f(A_2),f(suc(A_2)))| 'E'(f(B_18),f(suc(B_18)))| 'E'(f(B_19),f(suc(B_19))) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f21,axiom,(
% 0.12/0.42 (![E,B_18,A_2,B_19]: (( ~ 'E'('0',f(suc(suc(B_18))))| ~ 'E'('0',f(suc(A_2)))| ~ 'E'('0',f(suc(B_19)))| ~ iLEQ(suc(B_18),suc(B_19))| ~ 'E'('0',f(A_2))| ~ 'E'('0',f(B_19))| ~ 'E'('0',f(suc(suc(B_19))))| ~ 'E'(f(B_18),f(suc(B_18)))| ~ 'E'('0',f(B_18))| ~ 'E'('0',f(suc(B_18)))| ~ 'E'(f(B_19),f(suc(B_19)))| ~ iLEQ(suc(A_2),suc(B_18))| 'E'(f(A_2),f(suc(A_2))) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f22,axiom,(
% 0.12/0.42 (![E,A_2]: (( ~ 'E'('0',f(suc(suc(A_2))))| ~ 'E'('0',f(suc(A_2)))| ~ 'E'(f(A_2),f(suc(A_2)))| ~ 'E'('0',f(A_2))| iLEQ(suc(A_2),suc(A_2)) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f23,axiom,(
% 0.12/0.42 (![LE,B_10,E]: (( ~ 'LE'(f(suc(suc(B_10))),s(s('0')))| 'E'(s('0'),f(suc(suc(B_10))))| 'LE'(f(B_10),s('0')) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f25,axiom,(
% 0.12/0.42 (![LE,B_10,E]: (( ~ 'LE'(f(B_10),s(s('0')))| 'E'(s('0'),f(B_10))| 'LE'(f(B_10),s('0')) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f26,axiom,(
% 0.12/0.42 (![E,B_18,A_2,B_19]: (( ~ 'E'('0',f(suc(suc(B_18))))| ~ 'E'('0',f(suc(A_2)))| ~ 'E'('0',f(suc(B_19)))| ~ iLEQ(suc(B_18),suc(B_19))| ~ 'E'('0',f(A_2))| ~ 'E'('0',f(B_19))| ~ 'E'(f(B_18),f(suc(B_18)))| ~ 'E'('0',f(B_18))| ~ 'E'('0',f(suc(B_18)))| ~ iLEQ(suc(A_2),suc(B_18))| 'E'(f(A_2),f(suc(A_2)))| 'E'(f(B_19),f(suc(B_19))) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f27,axiom,(
% 0.12/0.42 (![E,B_11,B_12,A_1]: (( ~ 'E'(s('0'),f(suc(B_11)))| ~ 'E'(s('0'),f(B_12))| ~ 'E'(s('0'),f(suc(suc(A_1))))| ~ 'E'(s('0'),f(A_1))| ~ 'E'(s('0'),f(suc(B_12)))| ~ 'E'(s('0'),f(suc(A_1)))| ~ 'E'(s('0'),f(suc(suc(B_12))))| ~ 'E'(f(B_12),f(suc(B_12)))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'(s('0'),f(B_11))| ~ iLEQ(suc(A_1),suc(B_11))| ~ iLEQ(suc(B_11),suc(B_12))| 'E'(f(B_11),f(suc(B_11))) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f28,axiom,(
% 0.12/0.42 (![E,A_1]: (( ~ 'E'(s('0'),f(suc(suc(A_1))))| ~ 'E'(s('0'),f(suc(A_1)))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'(s('0'),f(A_1))| iLEQ(suc(A_1),suc(A_1)) ) ))),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f29,plain,(
% 0.12/0.42 ![LE]: (~'LE'(f(z),'0'))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.42 fof(f32,plain,(
% 0.12/0.42 ![B_17]: ((~'LE'(f(suc(suc(B_17))),s('0'))|'E'('0',f(suc(suc(B_17)))))|'LE'(f(B_17),'0'))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f3])).
% 0.12/0.42 fof(f33,plain,(
% 0.12/0.42 ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s('0'))|'E'('0',f(suc(suc(X0))))|'LE'(f(X0),'0'))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.42 fof(f34,plain,(
% 0.12/0.42 ![B_12]: ((![B_11]: ((![A_1]: ((((((((~'E'(s('0'),f(suc(B_11)))|~'E'(s('0'),f(B_12)))|~'E'(s('0'),f(A_1)))|~'E'(s('0'),f(suc(B_12))))|~'E'(s('0'),f(suc(A_1))))|~'E'(s('0'),f(B_11)))|~iLEQ(suc(A_1),suc(B_11)))|~iLEQ(suc(B_11),suc(B_12)))|'E'(f(A_1),f(suc(A_1)))))|'E'(f(B_11),f(suc(B_11)))))|'E'(f(B_12),f(suc(B_12))))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f4])).
% 0.12/0.42 fof(f35,plain,(
% 0.12/0.42 ![E,X0,X1,X2]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(X0))|~iLEQ(suc(X2),suc(X0))|~iLEQ(suc(X0),suc(X1))|'E'(f(X2),f(suc(X2)))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.42 fof(f36,plain,(
% 0.12/0.42 ![B_11,B_12]: ((![A_1]: ((((((((((((~'E'(s('0'),f(suc(B_11)))|~'E'(s('0'),f(B_12)))|~'E'(s('0'),f(suc(suc(A_1)))))|~'E'(s('0'),f(A_1)))|~'E'(s('0'),f(suc(B_12))))|~'E'(s('0'),f(suc(A_1))))|~'E'(s('0'),f(suc(suc(B_12)))))|~'E'(f(B_12),f(suc(B_12))))|~'E'(f(A_1),f(suc(A_1))))|~'E'(s('0'),f(suc(suc(B_11)))))|~'E'(s('0'),f(B_11)))|~'E'(f(B_11),f(suc(B_11))))|~iLEQ(suc(A_1),suc(B_11))))|~iLEQ(suc(B_11),suc(B_12)))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f5])).
% 0.12/0.42 fof(f37,plain,(
% 0.12/0.42 ![E,X0,X1,X2]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X1),f(suc(X1)))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(X0))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X2),suc(X0))|~iLEQ(suc(X0),suc(X1)))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.42 fof(f38,plain,(
% 0.12/0.42 ![A]: 'LE'(f(A),s(s('0')))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f6])).
% 0.12/0.42 fof(f39,plain,(
% 0.12/0.42 ![LE,X0]: ('LE'(f(X0),s(s('0'))))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f38])).
% 0.12/0.42 fof(f40,plain,(
% 0.12/0.42 ![B_10]: ((~'LE'(f(suc(B_10)),s(s('0')))|'E'(s('0'),f(suc(B_10))))|'LE'(f(B_10),s('0')))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f7])).
% 0.12/0.42 fof(f41,plain,(
% 0.12/0.42 ![LE,X0,E]: (~'LE'(f(suc(X0)),s(s('0')))|'E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f40])).
% 0.12/0.42 fof(f42,plain,(
% 0.12/0.42 ![B_17]: ((~'LE'(f(suc(B_17)),s('0'))|'E'('0',f(suc(B_17))))|'LE'(f(B_17),'0'))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f8])).
% 0.12/0.42 fof(f43,plain,(
% 0.12/0.42 ![LE,X0,E]: (~'LE'(f(suc(X0)),s('0'))|'E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f42])).
% 0.12/0.42 fof(f44,plain,(
% 0.12/0.42 ![B_17]: ((~'LE'(f(B_17),s('0'))|'E'('0',f(B_17)))|'LE'(f(B_17),'0'))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f9])).
% 0.12/0.42 fof(f45,plain,(
% 0.12/0.42 ![LE,X0,E]: (~'LE'(f(X0),s('0'))|'E'('0',f(X0))|'LE'(f(X0),'0'))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f44])).
% 0.12/0.42 fof(f46,plain,(
% 0.12/0.42 ![A_1]: (((~'E'(s('0'),f(A_1))|~'E'(s('0'),f(suc(A_1))))|'E'(f(A_1),f(suc(A_1))))|iLEQ(suc(A_1),suc(A_1)))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f10])).
% 0.12/0.42 fof(f47,plain,(
% 0.12/0.42 ![E,X0]: (~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f46])).
% 0.12/0.42 fof(f48,plain,(
% 0.12/0.42 ![B_12]: ((![B_11]: ((![A_1]: ((((((((((~'E'(s('0'),f(suc(B_11)))|~'E'(s('0'),f(B_12)))|~'E'(s('0'),f(suc(suc(A_1)))))|~'E'(s('0'),f(A_1)))|~'E'(s('0'),f(suc(B_12))))|~'E'(s('0'),f(suc(A_1))))|~'E'(f(A_1),f(suc(A_1))))|~'E'(s('0'),f(suc(suc(B_11)))))|~'E'(s('0'),f(B_11)))|~'E'(f(B_11),f(suc(B_11))))|~iLEQ(suc(A_1),suc(B_11))))|~iLEQ(suc(B_11),suc(B_12))))|'E'(f(B_12),f(suc(B_12))))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f11])).
% 0.12/0.42 fof(f49,plain,(
% 0.12/0.42 ![E,X0,X1,X2]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X2)))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(X0))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X2),suc(X0))|~iLEQ(suc(X0),suc(X1))|'E'(f(X1),f(suc(X1))))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f48])).
% 0.12/0.42 fof(f54,plain,(
% 0.12/0.42 ![B_12]: ((![B_11]: (((![A_1]: ((((((((~'E'(s('0'),f(suc(B_11)))|~'E'(s('0'),f(B_12)))|~'E'(s('0'),f(suc(suc(A_1)))))|~'E'(s('0'),f(A_1)))|~'E'(s('0'),f(suc(B_12))))|~'E'(s('0'),f(suc(A_1))))|~'E'(f(A_1),f(suc(A_1))))|~'E'(s('0'),f(B_11)))|~iLEQ(suc(A_1),suc(B_11))))|~iLEQ(suc(B_11),suc(B_12)))|'E'(f(B_11),f(suc(B_11)))))|'E'(f(B_12),f(suc(B_12))))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f14])).
% 0.12/0.42 fof(f55,plain,(
% 0.12/0.42 ![E,X0,X1,X2]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X2)))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(X0))|~iLEQ(suc(X2),suc(X0))|~iLEQ(suc(X0),suc(X1))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f54])).
% 0.12/0.42 fof(f56,plain,(
% 0.12/0.42 ![A_2]: (((~'E'('0',f(A_2))|~'E'('0',f(suc(A_2))))|'E'(f(A_2),f(suc(A_2))))|iLEQ(suc(A_2),suc(A_2)))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f15])).
% 0.12/0.42 fof(f57,plain,(
% 0.12/0.42 ![E,X0]: (~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f56])).
% 0.12/0.42 fof(f62,plain,(
% 0.12/0.42 ![A_2]: ((![B_18]: ((![B_19]: (((((((((((~'E'('0',f(suc(suc(B_18))))|~'E'('0',f(suc(A_2))))|~'E'('0',f(suc(suc(A_2)))))|~'E'('0',f(suc(B_19))))|~iLEQ(suc(B_18),suc(B_19)))|~'E'('0',f(A_2)))|~'E'('0',f(B_19)))|~'E'('0',f(suc(suc(B_19)))))|~'E'(f(B_18),f(suc(B_18))))|~'E'('0',f(B_18)))|~'E'('0',f(suc(B_18))))|~'E'(f(B_19),f(suc(B_19)))))|~iLEQ(suc(A_2),suc(B_18))))|~'E'(f(A_2),f(suc(A_2))))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f18])).
% 0.12/0.42 fof(f63,plain,(
% 0.12/0.42 ![E,X0,X1,X2]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(X2)))|~iLEQ(suc(X0),suc(X2))|~'E'('0',f(X1))|~'E'('0',f(X2))|~'E'('0',f(suc(suc(X2))))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~'E'(f(X2),f(suc(X2)))|~iLEQ(suc(X1),suc(X0))|~'E'(f(X1),f(suc(X1))))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f62])).
% 0.12/0.42 fof(f66,plain,(
% 0.12/0.42 ![B_19]: ((![B_18]: ((![A_2]: ((((((((~'E'('0',f(suc(A_2)))|~'E'('0',f(suc(B_19))))|~iLEQ(suc(B_18),suc(B_19)))|~'E'('0',f(A_2)))|~'E'('0',f(B_19)))|~'E'('0',f(B_18)))|~'E'('0',f(suc(B_18))))|~iLEQ(suc(A_2),suc(B_18)))|'E'(f(A_2),f(suc(A_2)))))|'E'(f(B_18),f(suc(B_18)))))|'E'(f(B_19),f(suc(B_19))))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f20])).
% 0.12/0.42 fof(f67,plain,(
% 0.12/0.42 ![E,X0,X1,X2]: (~'E'('0',f(suc(X0)))|~'E'('0',f(suc(X1)))|~iLEQ(suc(X2),suc(X1))|~'E'('0',f(X0))|~'E'('0',f(X1))|~'E'('0',f(X2))|~'E'('0',f(suc(X2)))|~iLEQ(suc(X0),suc(X2))|'E'(f(X0),f(suc(X0)))|'E'(f(X2),f(suc(X2)))|'E'(f(X1),f(suc(X1))))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f66])).
% 0.12/0.42 fof(f68,plain,(
% 0.12/0.42 ![A_2]: ((![B_18]: ((![B_19]: ((((((((((~'E'('0',f(suc(suc(B_18))))|~'E'('0',f(suc(A_2))))|~'E'('0',f(suc(B_19))))|~iLEQ(suc(B_18),suc(B_19)))|~'E'('0',f(A_2)))|~'E'('0',f(B_19)))|~'E'('0',f(suc(suc(B_19)))))|~'E'(f(B_18),f(suc(B_18))))|~'E'('0',f(B_18)))|~'E'('0',f(suc(B_18))))|~'E'(f(B_19),f(suc(B_19)))))|~iLEQ(suc(A_2),suc(B_18))))|'E'(f(A_2),f(suc(A_2))))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f21])).
% 0.12/0.42 fof(f69,plain,(
% 0.12/0.42 ![E,X0,X1,X2]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X2)))|~iLEQ(suc(X0),suc(X2))|~'E'('0',f(X1))|~'E'('0',f(X2))|~'E'('0',f(suc(suc(X2))))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~'E'(f(X2),f(suc(X2)))|~iLEQ(suc(X1),suc(X0))|'E'(f(X1),f(suc(X1))))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f70,plain,(
% 0.12/0.42 ![A_2]: ((((~'E'('0',f(suc(suc(A_2))))|~'E'('0',f(suc(A_2))))|~'E'(f(A_2),f(suc(A_2))))|~'E'('0',f(A_2)))|iLEQ(suc(A_2),suc(A_2)))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f22])).
% 0.12/0.42 fof(f71,plain,(
% 0.12/0.42 ![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)))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f70])).
% 0.12/0.42 fof(f72,plain,(
% 0.12/0.42 ![B_10]: ((~'LE'(f(suc(suc(B_10))),s(s('0')))|'E'(s('0'),f(suc(suc(B_10)))))|'LE'(f(B_10),s('0')))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f23])).
% 0.12/0.42 fof(f73,plain,(
% 0.12/0.42 ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s(s('0')))|'E'(s('0'),f(suc(suc(X0))))|'LE'(f(X0),s('0')))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f72])).
% 0.12/0.42 fof(f76,plain,(
% 0.12/0.42 ![B_10]: ((~'LE'(f(B_10),s(s('0')))|'E'(s('0'),f(B_10)))|'LE'(f(B_10),s('0')))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f25])).
% 0.12/0.42 fof(f77,plain,(
% 0.12/0.42 ![LE,X0,E]: (~'LE'(f(X0),s(s('0')))|'E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f76])).
% 0.12/0.42 fof(f78,plain,(
% 0.12/0.42 ![B_19]: ((![A_2]: ((![B_18]: (((((((((~'E'('0',f(suc(suc(B_18))))|~'E'('0',f(suc(A_2))))|~'E'('0',f(suc(B_19))))|~iLEQ(suc(B_18),suc(B_19)))|~'E'('0',f(A_2)))|~'E'('0',f(B_19)))|~'E'(f(B_18),f(suc(B_18))))|~'E'('0',f(B_18)))|~'E'('0',f(suc(B_18))))|~iLEQ(suc(A_2),suc(B_18))))|'E'(f(A_2),f(suc(A_2)))))|'E'(f(B_19),f(suc(B_19))))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f26])).
% 0.12/0.42 fof(f79,plain,(
% 0.12/0.42 ![E,X0,X1,X2]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X2)))|~iLEQ(suc(X0),suc(X2))|~'E'('0',f(X1))|~'E'('0',f(X2))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|'E'(f(X1),f(suc(X1)))|'E'(f(X2),f(suc(X2))))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f78])).
% 0.12/0.42 fof(f80,plain,(
% 0.12/0.42 ![B_11]: ((![B_12]: ((![A_1]: ((((((((((~'E'(s('0'),f(suc(B_11)))|~'E'(s('0'),f(B_12)))|~'E'(s('0'),f(suc(suc(A_1)))))|~'E'(s('0'),f(A_1)))|~'E'(s('0'),f(suc(B_12))))|~'E'(s('0'),f(suc(A_1))))|~'E'(s('0'),f(suc(suc(B_12)))))|~'E'(f(B_12),f(suc(B_12))))|~'E'(f(A_1),f(suc(A_1))))|~'E'(s('0'),f(B_11)))|~iLEQ(suc(A_1),suc(B_11))))|~iLEQ(suc(B_11),suc(B_12))))|'E'(f(B_11),f(suc(B_11))))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f27])).
% 0.12/0.42 fof(f81,plain,(
% 0.12/0.42 ![E,X0,X1,X2]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X1),f(suc(X1)))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(X0))|~iLEQ(suc(X2),suc(X0))|~iLEQ(suc(X0),suc(X1))|'E'(f(X0),f(suc(X0))))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f80])).
% 0.12/0.42 fof(f82,plain,(
% 0.12/0.42 ![A_1]: ((((~'E'(s('0'),f(suc(suc(A_1))))|~'E'(s('0'),f(suc(A_1))))|~'E'(f(A_1),f(suc(A_1))))|~'E'(s('0'),f(A_1)))|iLEQ(suc(A_1),suc(A_1)))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f28])).
% 0.12/0.42 fof(f83,plain,(
% 0.12/0.42 ![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)))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f82])).
% 0.12/0.42 fof(f84,plain,(
% 0.12/0.42 ![E,X0,LE]: ('E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f77,f39])).
% 0.12/0.42 fof(f93,plain,(
% 0.12/0.42 ![E,X0,LE]: ('E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f41,f39])).
% 0.12/0.42 fof(f94,plain,(
% 0.12/0.42 ![E,X0,LE]: ('E'(s('0'),f(suc(suc(X0))))|'LE'(f(X0),s('0')))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f73,f39])).
% 0.12/0.43 fof(f97,plain,(
% 0.12/0.43 ![E,X0]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f71,f57])).
% 0.12/0.43 fof(f98,plain,(
% 0.12/0.43 ![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)))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f83,f47])).
% 0.12/0.43 fof(f99,plain,(
% 0.12/0.43 ![E,X0,X1]: (~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~iLEQ(suc(X0),suc(X1))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 0.12/0.43 inference(resolution,[status(thm)],[f98,f35])).
% 0.12/0.43 fof(f100,plain,(
% 0.12/0.43 ![E,X0,X1]: (~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X1)))|~iLEQ(suc(X0),suc(X1))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 0.12/0.43 inference(duplicate_literals_removal,[status(thm)],[f99])).
% 0.12/0.43 fof(f101,plain,(
% 0.12/0.43 ![E,X0,X1,X2]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(X0))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X2),suc(X0))|~iLEQ(suc(X0),suc(X1)))),
% 0.12/0.43 inference(backward_subsumption_resolution,[status(thm)],[f37,f49])).
% 0.12/0.43 fof(f105,plain,(
% 0.12/0.43 ![E,X0]: (~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0)))),
% 0.12/0.43 inference(resolution,[status(thm)],[f100,f98])).
% 0.12/0.43 fof(f106,plain,(
% 0.12/0.43 ![E,X0]: (~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|'E'(f(X0),f(suc(X0))))),
% 0.12/0.43 inference(duplicate_literals_removal,[status(thm)],[f105])).
% 0.12/0.43 fof(f112,plain,(
% 0.12/0.43 ![E,X0,X1,X2]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X2)))|~iLEQ(suc(X0),suc(X2))|~'E'('0',f(X1))|~'E'('0',f(X2))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|'E'(f(X1),f(suc(X1)))|'E'(f(X2),f(suc(X2))))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f79,f67])).
% 0.12/0.43 fof(f119,plain,(
% 0.12/0.43 ![E,X0,X1,X2]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(X0))|~iLEQ(suc(X2),suc(X0))|~iLEQ(suc(X0),suc(X1))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f55,f35])).
% 0.12/0.43 fof(f122,plain,(
% 0.12/0.43 ![E,X0,X1,X2]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X2)))|~iLEQ(suc(X0),suc(X2))|~'E'('0',f(X1))|~'E'('0',f(X2))|~'E'('0',f(suc(suc(X2))))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|'E'(f(X1),f(suc(X1))))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f69,f112])).
% 0.12/0.43 fof(f134,plain,(
% 0.12/0.43 ![E,X0,X1,X2]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(X2)))|~iLEQ(suc(X0),suc(X2))|~'E'('0',f(X1))|~'E'('0',f(X2))|~'E'('0',f(suc(suc(X2))))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|~'E'(f(X2),f(suc(X2)))|~iLEQ(suc(X1),suc(X0)))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f63,f122])).
% 0.12/0.43 fof(f135,plain,(
% 0.12/0.43 ![E,X0,X1,X2]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(X0))|~iLEQ(suc(X2),suc(X0))|~iLEQ(suc(X0),suc(X1))|'E'(f(X0),f(suc(X0))))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f81,f119])).
% 0.12/0.43 fof(f136,plain,(
% 0.12/0.43 ![E,X0,X1,X2]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(X0))|~iLEQ(suc(X2),suc(X0))|~iLEQ(suc(X0),suc(X1)))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f101,f135])).
% 0.12/0.43 fof(f137,plain,(
% 0.12/0.43 ![E,X0,X1]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(X0))|~iLEQ(suc(X0),suc(X1))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0)))),
% 0.12/0.43 inference(resolution,[status(thm)],[f136,f98])).
% 0.12/0.43 fof(f138,plain,(
% 0.12/0.43 ![E,X0,X1]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X1)))),
% 0.12/0.43 inference(duplicate_literals_removal,[status(thm)],[f137])).
% 0.12/0.43 fof(f139,plain,(
% 0.12/0.43 ![E,X0,X1]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X0),suc(X1)))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f138,f106])).
% 0.12/0.43 fof(f140,plain,(
% 0.12/0.43 ![E,X0]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0)))),
% 0.12/0.43 inference(resolution,[status(thm)],[f139,f98])).
% 0.12/0.43 fof(f141,plain,(
% 0.12/0.43 ![E,X0]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(suc(X0)))))),
% 0.12/0.43 inference(duplicate_literals_removal,[status(thm)],[f140])).
% 0.12/0.43 fof(f142,plain,(
% 0.12/0.43 ![E,X0,LE]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.12/0.43 inference(resolution,[status(thm)],[f141,f94])).
% 0.12/0.43 fof(f145,plain,(
% 0.12/0.43 ![E,X0,LE]: (~'E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f142,f93])).
% 0.12/0.43 fof(f147,plain,(
% 0.12/0.43 ![E,X0,LE]: ('E'('0',f(suc(suc(X0))))|'LE'(f(X0),'0'))),
% 0.12/0.43 inference(backward_subsumption_resolution,[status(thm)],[f33,f150])).
% 0.12/0.43 fof(f148,plain,(
% 0.12/0.43 ![E,X0,LE]: ('E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 0.12/0.43 inference(backward_subsumption_resolution,[status(thm)],[f43,f150])).
% 0.12/0.43 fof(f149,plain,(
% 0.12/0.43 ![E,X0,LE]: ('E'('0',f(X0))|'LE'(f(X0),'0'))),
% 0.12/0.43 inference(backward_subsumption_resolution,[status(thm)],[f45,f150])).
% 0.12/0.43 fof(f150,plain,(
% 0.12/0.43 ![LE,X0]: ('LE'(f(X0),s('0')))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f145,f84])).
% 0.12/0.43 fof(f225,plain,(
% 0.12/0.43 ![LE,X0,E,X1]: ('LE'(f(X0),'0')|~'E'('0',f(suc(X1)))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X1))|~'E'('0',f(X0))|~'E'('0',f(X0))|~iLEQ(suc(X1),suc(X0))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0))))),
% 0.12/0.43 inference(resolution,[status(thm)],[f148,f67])).
% 0.12/0.43 fof(f264,plain,(
% 0.12/0.43 ![LE,X0,E,X1]: ('LE'(f(X0),'0')|~'E'('0',f(suc(X1)))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X1))|~'E'('0',f(X0))|~iLEQ(suc(X1),suc(X0))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 0.12/0.43 inference(duplicate_literals_removal,[status(thm)],[f225])).
% 0.12/0.43 fof(f265,plain,(
% 0.12/0.43 ![LE,X0,E,X1]: ('LE'(f(X0),'0')|~'E'('0',f(suc(X1)))|~iLEQ(suc(X0),suc(X0))|~'E'('0',f(X1))|~iLEQ(suc(X1),suc(X0))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f264,f149])).
% 0.12/0.43 fof(f271,plain,(
% 0.12/0.43 ![LE,X0,E,X1]: ('LE'(f(X0),'0')|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(X0)))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(X0))|~'E'('0',f(X0))|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X1)))),
% 0.12/0.43 inference(resolution,[status(thm)],[f147,f134])).
% 0.12/0.43 fof(f286,plain,(
% 0.12/0.43 ![LE,X0,E]: ('LE'(f(X0),'0')|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.12/0.43 inference(resolution,[status(thm)],[f147,f97])).
% 0.12/0.43 fof(f304,plain,(
% 0.12/0.43 ![LE,X0,E,X1]: ('LE'(f(X0),'0')|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(X0))|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X1)))),
% 0.12/0.43 inference(duplicate_literals_removal,[status(thm)],[f271])).
% 0.12/0.43 fof(f305,plain,(
% 0.12/0.43 ![LE,X0,E,X1]: ('LE'(f(X0),'0')|~'E'('0',f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(X0))|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X1)))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f304,f148])).
% 0.12/0.43 fof(f323,plain,(
% 0.12/0.43 ![LE,X0,E]: ('LE'(f(X0),'0')|~'E'('0',f(X0))|iLEQ(suc(X0),suc(X0)))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f286,f148])).
% 0.12/0.43 fof(f345,plain,(
% 0.12/0.43 ![LE,X0]: ('LE'(f(X0),'0')|iLEQ(suc(X0),suc(X0)))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f323,f149])).
% 0.12/0.43 fof(f362,plain,(
% 0.12/0.43 ![LE,X0,E,X1]: ('LE'(f(X0),'0')|~'E'('0',f(suc(X1)))|~'E'('0',f(X1))|~iLEQ(suc(X1),suc(X0))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f265,f345])).
% 0.12/0.43 fof(f364,plain,(
% 0.12/0.43 ![LE,X0,E,X1]: ('LE'(f(X0),'0')|~'E'('0',f(X1))|~iLEQ(suc(X1),suc(X0))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0)))|'LE'(f(X1),'0'))),
% 0.12/0.43 inference(resolution,[status(thm)],[f362,f148])).
% 0.12/0.43 fof(f367,plain,(
% 0.12/0.43 ![LE,X0,X1,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X0))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0)))|'LE'(f(X1),'0'))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f364,f149])).
% 0.12/0.43 fof(f370,plain,(
% 0.12/0.43 ![LE,X0,E]: ('LE'(f(X0),'0')|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|'LE'(f(X0),'0')|'LE'(f(X0),'0'))),
% 0.12/0.43 inference(resolution,[status(thm)],[f367,f345])).
% 0.12/0.43 fof(f374,plain,(
% 0.12/0.43 ![LE,X0,E]: ('LE'(f(X0),'0')|'E'(f(X0),f(suc(X0))))),
% 0.12/0.43 inference(duplicate_literals_removal,[status(thm)],[f370])).
% 0.12/0.43 fof(f581,plain,(
% 0.12/0.43 ![LE,X0,E,X1]: ('LE'(f(X0),'0')|~'E'('0',f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X0))|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X1)))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f305,f149])).
% 0.12/0.43 fof(f582,plain,(
% 0.12/0.43 ![LE,X0,X1,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X0))|~'E'(f(X1),f(suc(X1)))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|'LE'(f(X1),'0'))),
% 0.12/0.43 inference(resolution,[status(thm)],[f581,f147])).
% 0.12/0.43 fof(f585,plain,(
% 0.12/0.43 ![LE,X0,X1,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(X1))|~'E'('0',f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|'LE'(f(X1),'0'))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f582,f374])).
% 0.12/0.43 fof(f588,plain,(
% 0.12/0.43 ![LE,X0,X1,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|'LE'(f(X1),'0'))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f585,f149])).
% 0.12/0.43 fof(f590,plain,(
% 0.12/0.43 ![LE,X0,X1,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X0))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|'LE'(f(X1),'0')|'LE'(f(X1),'0'))),
% 0.12/0.43 inference(resolution,[status(thm)],[f588,f148])).
% 0.12/0.43 fof(f593,plain,(
% 0.12/0.43 ![LE,X0,X1,E]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X0))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|'LE'(f(X1),'0'))),
% 0.12/0.43 inference(duplicate_literals_removal,[status(thm)],[f590])).
% 0.12/0.43 fof(f594,plain,(
% 0.12/0.43 ![LE,X0,X1]: ('LE'(f(X0),'0')|~iLEQ(suc(X1),suc(X0))|~iLEQ(suc(X0),suc(X1))|'LE'(f(X1),'0'))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f593,f374])).
% 0.12/0.43 fof(f598,plain,(
% 0.12/0.43 ![LE,X0]: ('LE'(f(X0),'0')|~iLEQ(suc(X0),suc(X0))|'LE'(f(X0),'0')|'LE'(f(X0),'0'))),
% 0.12/0.43 inference(resolution,[status(thm)],[f594,f345])).
% 0.12/0.43 fof(f602,plain,(
% 0.12/0.43 ![LE,X0]: ('LE'(f(X0),'0')|~iLEQ(suc(X0),suc(X0)))),
% 0.12/0.43 inference(duplicate_literals_removal,[status(thm)],[f598])).
% 0.12/0.43 fof(f603,plain,(
% 0.12/0.43 ![LE,X0]: ('LE'(f(X0),'0'))),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f602,f345])).
% 0.12/0.43 fof(f605,plain,(
% 0.12/0.43 $false),
% 0.12/0.43 inference(backward_subsumption_resolution,[status(thm)],[f29,f603])).
% 0.12/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.065250 seconds
% 0.12/0.44 % CPU time: 0.347696 seconds
% 0.12/0.44 % Total memory used: 8.590 MB
% 0.12/0.44 % Net memory used: 7.838 MB
%------------------------------------------------------------------------------