%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO665-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 18:40:45 EDT 2022
% Result : Unsatisfiable 4.21s 4.44s
% Output : CNFRefutation 4.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO665-1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 19:50:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 4.21/4.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.21/4.44
% 4.21/4.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.21/4.45 cnf(clause_877, axiom, (~ 'LE'(f(z), 0))).
% 4.21/4.45
% 4.21/4.45 cnf(clause_528, axiom,
% 4.21/4.45 (~ 'E'(s(0), f(suc(B_45))) | ~ 'E'(s(0), f(B_45)) |
% 4.21/4.45 ~ 'E'(s(0), f(suc(B_46))) | ~ 'E'(s(0), f(suc(B_43))) |
% 4.21/4.45 ~ 'E'(s(0), f(A_1)) | ~ 'E'(s(0), f(suc(A_1))) |
% 4.21/4.45 ~ iLEQ(suc(A_1), suc(B_43)) | ~ 'E'(s(0), f(B_43)) |
% 4.21/4.45 ~ iLEQ(suc(B_44), suc(B_45)) | ~ 'E'(s(0), f(B_46)) |
% 4.21/4.45 ~ 'E'(s(0), f(B_44)) | ~ iLEQ(suc(B_45), suc(B_46)) |
% 4.21/4.45 ~ iLEQ(suc(B_43), suc(B_44)) | ~ 'E'(s(0), f(suc(B_44))) |
% 4.21/4.45 'E'(f(B_44), f(suc(B_44))) | 'E'(f(B_46), f(suc(B_46))) |
% 4.21/4.45 'E'(f(B_43), f(suc(B_43))) | 'E'(f(A_1), f(suc(A_1))) |
% 4.21/4.45 'E'(f(B_45), f(suc(B_45))))).
% 4.21/4.45
% 4.21/4.45 cnf(clause_206, axiom,
% 4.21/4.45 (~ 'E'(s(0), f(suc(suc(A_1)))) | ~ 'E'(s(0), f(suc(A_1))) |
% 4.21/4.45 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(s(0), f(A_1)) |
% 4.21/4.45 iLEQ(suc(A_1), suc(A_1)))).
% 4.21/4.45
% 4.21/4.45 cnf(clause_372, axiom,
% 4.21/4.45 (~ 'LE'(f(suc(suc(B_42))), s(s(0))) | 'E'(s(0), f(suc(suc(B_42)))) |
% 4.21/4.45 'LE'(f(B_42), s(0)))).
% 4.21/4.45
% 4.21/4.45 cnf(clause_1504, axiom,
% 4.21/4.45 (~ 'LE'(f(suc(B_60)), s(0)) | 'E'(0, f(suc(B_60))) |
% 4.21/4.45 'LE'(f(B_60), 0))).
% 4.21/4.45
% 4.21/4.45 cnf(clause_1303, axiom,
% 4.21/4.45 (~ 'E'(0, f(suc(suc(A_2)))) | ~ 'E'(0, f(suc(A_2))) |
% 4.21/4.45 ~ 'E'(f(A_2), f(suc(A_2))) | ~ 'E'(0, f(A_2)) |
% 4.21/4.45 iLEQ(suc(A_2), suc(A_2)))).
% 4.21/4.45
% 4.21/4.45 cnf(clause_948, axiom,
% 4.21/4.45 (~ 'E'(0, f(B_63)) | ~ 'E'(0, f(suc(B_61))) | ~ 'E'(0, f(suc(A_2))) |
% 4.21/4.45 ~ 'E'(0, f(suc(suc(A_2)))) | ~ iLEQ(suc(A_2), suc(B_61)) |
% 4.21/4.45 ~ iLEQ(suc(B_61), suc(B_62)) | ~ 'E'(0, f(suc(B_63))) |
% 4.21/4.45 ~ 'E'(0, f(A_2)) | ~ iLEQ(suc(B_62), suc(B_63)) | ~ 'E'(0, f(B_64)) |
% 4.21/4.45 ~ iLEQ(suc(B_63), suc(B_64)) | ~ 'E'(0, f(suc(B_62))) |
% 4.21/4.45 ~ 'E'(0, f(suc(suc(B_63)))) | ~ 'E'(f(B_62), f(suc(B_62))) |
% 4.21/4.45 ~ 'E'(0, f(B_61)) | ~ 'E'(0, f(suc(suc(B_62)))) |
% 4.21/4.45 ~ 'E'(0, f(suc(B_64))) | ~ 'E'(0, f(suc(suc(B_64)))) |
% 4.21/4.45 ~ 'E'(0, f(B_62)) | ~ 'E'(f(B_64), f(suc(B_64))) |
% 4.21/4.45 ~ 'E'(f(B_63), f(suc(B_63))) | ~ 'E'(f(A_2), f(suc(A_2))) |
% 4.21/4.45 ~ 'E'(0, f(suc(suc(B_61)))) | ~ 'E'(f(B_61), f(suc(B_61))))).
% 4.21/4.45
% 4.21/4.45 cnf(clause_672, axiom,
% 4.21/4.45 (~ 'E'(0, f(B_63)) | ~ 'E'(0, f(suc(B_61))) | ~ 'E'(0, f(suc(A_2))) |
% 4.21/4.45 ~ iLEQ(suc(A_2), suc(B_61)) | ~ iLEQ(suc(B_61), suc(B_62)) |
% 4.21/4.45 ~ 'E'(0, f(suc(B_63))) | ~ 'E'(0, f(A_2)) |
% 4.21/4.45 ~ iLEQ(suc(B_62), suc(B_63)) | ~ 'E'(0, f(B_64)) |
% 4.21/4.45 ~ iLEQ(suc(B_63), suc(B_64)) | ~ 'E'(0, f(suc(B_62))) |
% 4.21/4.45 ~ 'E'(0, f(B_61)) | ~ 'E'(0, f(suc(B_64))) | ~ 'E'(0, f(B_62)) |
% 4.21/4.45 'E'(f(B_62), f(suc(B_62))) | 'E'(f(B_64), f(suc(B_64))) |
% 4.21/4.45 'E'(f(B_63), f(suc(B_63))) | 'E'(f(A_2), f(suc(A_2))) |
% 4.21/4.45 'E'(f(B_61), f(suc(B_61))))).
% 4.21/4.45
% 4.21/4.45 cnf(clause_174, axiom,
% 4.21/4.45 (~ 'LE'(f(B_42), s(s(0))) | 'E'(s(0), f(B_42)) | 'LE'(f(B_42), s(0)))).
% 4.21/4.45
% 4.21/4.45 cnf(clause_1111, axiom,
% 4.21/4.45 (~ 'LE'(f(suc(B_42)), s(s(0))) | 'E'(s(0), f(suc(B_42))) |
% 4.21/4.45 'LE'(f(B_42), s(0)))).
% 4.21/4.45
% 4.21/4.45 cnf(clause_977, axiom,
% 4.21/4.45 (~ 'E'(0, f(A_2)) | ~ 'E'(0, f(suc(A_2))) | 'E'(f(A_2), f(suc(A_2))) |
% 4.21/4.45 iLEQ(suc(A_2), suc(A_2)))).
% 4.21/4.45
% 4.21/4.45 cnf(clause_1187, axiom,
% 4.21/4.45 (~ 'LE'(f(B_60), s(0)) | 'E'(0, f(B_60)) | 'LE'(f(B_60), 0))).
% 4.21/4.45
% 4.21/4.45 cnf(clause_681, axiom, ('LE'(f(A), s(s(0))))).
% 4.21/4.45
% 4.21/4.45 cnf(clause_804, axiom,
% 4.21/4.45 (~ 'E'(s(0), f(A_1)) | ~ 'E'(s(0), f(suc(A_1))) |
% 4.21/4.45 'E'(f(A_1), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)))).
% 4.21/4.45
% 4.21/4.45 cnf(clause_1256, axiom,
% 4.21/4.45 (~ 'E'(s(0), f(suc(B_45))) | ~ 'E'(s(0), f(B_45)) |
% 4.21/4.45 ~ 'E'(s(0), f(suc(B_46))) | ~ 'E'(s(0), f(suc(suc(A_1)))) |
% 4.21/4.45 ~ 'E'(s(0), f(suc(B_43))) | ~ 'E'(s(0), f(A_1)) |
% 4.21/4.45 ~ 'E'(s(0), f(suc(A_1))) | ~ iLEQ(suc(A_1), suc(B_43)) |
% 4.21/4.45 ~ 'E'(f(B_44), f(suc(B_44))) | ~ 'E'(f(B_46), f(suc(B_46))) |
% 4.21/4.45 ~ 'E'(f(B_43), f(suc(B_43))) | ~ 'E'(s(0), f(B_43)) |
% 4.21/4.45 ~ iLEQ(suc(B_44), suc(B_45)) | ~ 'E'(s(0), f(B_46)) |
% 4.21/4.45 ~ 'E'(s(0), f(B_44)) | ~ 'E'(s(0), f(suc(suc(B_46)))) |
% 4.21/4.45 ~ 'E'(s(0), f(suc(suc(B_45)))) | ~ 'E'(s(0), f(suc(suc(B_44)))) |
% 4.21/4.45 ~ 'E'(s(0), f(suc(suc(B_43)))) | ~ 'E'(f(A_1), f(suc(A_1))) |
% 4.21/4.45 ~ iLEQ(suc(B_45), suc(B_46)) | ~ iLEQ(suc(B_43), suc(B_44)) |
% 4.21/4.45 ~ 'E'(f(B_45), f(suc(B_45))) | ~ 'E'(s(0), f(suc(B_44))))).
% 4.21/4.45
% 4.21/4.45 cnf(clause_138, axiom,
% 4.21/4.45 (~ 'LE'(f(suc(suc(B_60))), s(0)) | 'E'(0, f(suc(suc(B_60)))) |
% 4.21/4.45 'LE'(f(B_60), 0))).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_0, plain,
% 4.21/4.45 (~ 'LE'(f(suc(X_73)), s(0)) | 'E'(0, f(suc(X_73))) | 'LE'(f(X_73), 0)),
% 4.21/4.45 inference(subst, [], [clause_1504 : [bind(B_60, $fot(X_73))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_1, plain, ('LE'(f(B_42), s(s(0)))),
% 4.21/4.45 inference(subst, [], [clause_681 : [bind(A, $fot(B_42))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_2, plain, ('E'(s(0), f(B_42)) | 'LE'(f(B_42), s(0))),
% 4.21/4.45 inference(resolve, [$cnf('LE'(f(B_42), s(s(0))))],
% 4.21/4.45 [refute_0_1, clause_174])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_3, plain, ('E'(s(0), f(suc(X_6))) | 'LE'(f(suc(X_6)), s(0))),
% 4.21/4.45 inference(subst, [], [refute_0_2 : [bind(B_42, $fot(suc(X_6)))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_4, plain,
% 4.21/4.45 (~ 'LE'(f(suc(X_6)), s(0)) | 'E'(0, f(suc(X_6))) | 'LE'(f(X_6), 0)),
% 4.21/4.45 inference(subst, [], [clause_1504 : [bind(B_60, $fot(X_6))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_5, plain,
% 4.21/4.45 ('E'(0, f(suc(X_6))) | 'E'(s(0), f(suc(X_6))) | 'LE'(f(X_6), 0)),
% 4.21/4.45 inference(resolve, [$cnf('LE'(f(suc(X_6)), s(0)))],
% 4.21/4.45 [refute_0_3, refute_0_4])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_6, plain,
% 4.21/4.45 ('E'(0, f(suc(X_72))) | 'E'(s(0), f(suc(X_72))) | 'LE'(f(X_72), 0)),
% 4.21/4.45 inference(subst, [], [refute_0_5 : [bind(X_6, $fot(X_72))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_7, plain,
% 4.21/4.45 ('E'(0, f(suc(X_67))) | 'E'(s(0), f(suc(X_67))) | 'LE'(f(X_67), 0)),
% 4.21/4.45 inference(subst, [], [refute_0_5 : [bind(X_6, $fot(X_67))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_8, plain, ('LE'(f(suc(B_42)), s(s(0)))),
% 4.21/4.45 inference(subst, [], [clause_681 : [bind(A, $fot(suc(B_42)))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_9, plain, ('E'(s(0), f(suc(B_42))) | 'LE'(f(B_42), s(0))),
% 4.21/4.45 inference(resolve, [$cnf('LE'(f(suc(B_42)), s(s(0))))],
% 4.21/4.45 [refute_0_8, clause_1111])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_10, plain, ('E'(s(0), f(suc(X_32))) | 'LE'(f(X_32), s(0))),
% 4.21/4.45 inference(subst, [], [refute_0_9 : [bind(B_42, $fot(X_32))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_11, plain, ('LE'(f(suc(suc(B_42))), s(s(0)))),
% 4.21/4.45 inference(subst, [], [clause_681 : [bind(A, $fot(suc(suc(B_42))))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_12, plain,
% 4.21/4.45 ('E'(s(0), f(suc(suc(B_42)))) | 'LE'(f(B_42), s(0))),
% 4.21/4.45 inference(resolve, [$cnf('LE'(f(suc(suc(B_42))), s(s(0))))],
% 4.21/4.45 [refute_0_11, clause_372])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_13, plain,
% 4.21/4.45 ('E'(s(0), f(suc(suc(X_22)))) | 'LE'(f(X_22), s(0))),
% 4.21/4.45 inference(subst, [], [refute_0_12 : [bind(B_42, $fot(X_22))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_14, plain,
% 4.21/4.45 (~ 'E'(f(X_22), f(suc(X_22))) | ~ 'E'(s(0), f(X_22)) |
% 4.21/4.45 ~ 'E'(s(0), f(suc(X_22))) | ~ 'E'(s(0), f(suc(suc(X_22)))) |
% 4.21/4.45 iLEQ(suc(X_22), suc(X_22))),
% 4.21/4.45 inference(subst, [], [clause_206 : [bind(A_1, $fot(X_22))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_15, plain,
% 4.21/4.45 (~ 'E'(f(X_22), f(suc(X_22))) | ~ 'E'(s(0), f(X_22)) |
% 4.21/4.45 ~ 'E'(s(0), f(suc(X_22))) | 'LE'(f(X_22), s(0)) |
% 4.21/4.45 iLEQ(suc(X_22), suc(X_22))),
% 4.21/4.45 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_22)))))],
% 4.21/4.45 [refute_0_13, refute_0_14])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_16, plain,
% 4.21/4.45 (~ 'E'(f(X_32), f(suc(X_32))) | ~ 'E'(s(0), f(X_32)) |
% 4.21/4.45 ~ 'E'(s(0), f(suc(X_32))) | 'LE'(f(X_32), s(0)) |
% 4.21/4.45 iLEQ(suc(X_32), suc(X_32))),
% 4.21/4.45 inference(subst, [], [refute_0_15 : [bind(X_22, $fot(X_32))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_17, plain,
% 4.21/4.45 (~ 'E'(f(X_32), f(suc(X_32))) | ~ 'E'(s(0), f(X_32)) |
% 4.21/4.45 'LE'(f(X_32), s(0)) | iLEQ(suc(X_32), suc(X_32))),
% 4.21/4.45 inference(resolve, [$cnf('E'(s(0), f(suc(X_32))))],
% 4.21/4.45 [refute_0_10, refute_0_16])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_18, plain,
% 4.21/4.45 (~ 'E'(f(suc(X_66)), f(suc(suc(X_66)))) | ~ 'E'(s(0), f(suc(X_66))) |
% 4.21/4.45 'LE'(f(suc(X_66)), s(0)) | iLEQ(suc(suc(X_66)), suc(suc(X_66)))),
% 4.21/4.45 inference(subst, [], [refute_0_17 : [bind(X_32, $fot(suc(X_66)))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_19, plain, ('E'(s(0), f(suc(X_13))) | 'LE'(f(X_13), s(0))),
% 4.21/4.45 inference(subst, [], [refute_0_9 : [bind(B_42, $fot(X_13))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_20, plain,
% 4.21/4.45 (~ 'E'(s(0), f(X_13)) | ~ 'E'(s(0), f(suc(X_13))) |
% 4.21/4.45 'E'(f(X_13), f(suc(X_13))) | iLEQ(suc(X_13), suc(X_13))),
% 4.21/4.45 inference(subst, [], [clause_804 : [bind(A_1, $fot(X_13))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_21, plain,
% 4.21/4.45 (~ 'E'(s(0), f(X_13)) | 'E'(f(X_13), f(suc(X_13))) |
% 4.21/4.45 'LE'(f(X_13), s(0)) | iLEQ(suc(X_13), suc(X_13))),
% 4.21/4.45 inference(resolve, [$cnf('E'(s(0), f(suc(X_13))))],
% 4.21/4.45 [refute_0_19, refute_0_20])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_22, plain,
% 4.21/4.45 (~ 'E'(s(0), f(suc(X_6))) | 'E'(f(suc(X_6)), f(suc(suc(X_6)))) |
% 4.21/4.45 'LE'(f(suc(X_6)), s(0)) | iLEQ(suc(suc(X_6)), suc(suc(X_6)))),
% 4.21/4.45 inference(subst, [], [refute_0_21 : [bind(X_13, $fot(suc(X_6)))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_23, plain,
% 4.21/4.45 ('E'(0, f(suc(X_6))) | 'E'(f(suc(X_6)), f(suc(suc(X_6)))) |
% 4.21/4.45 'LE'(f(X_6), 0) | 'LE'(f(suc(X_6)), s(0)) |
% 4.21/4.45 iLEQ(suc(suc(X_6)), suc(suc(X_6)))),
% 4.21/4.45 inference(resolve, [$cnf('E'(s(0), f(suc(X_6))))],
% 4.21/4.45 [refute_0_5, refute_0_22])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_24, plain,
% 4.21/4.45 ('E'(0, f(suc(X_66))) | 'E'(f(suc(X_66)), f(suc(suc(X_66)))) |
% 4.21/4.45 'LE'(f(X_66), 0) | 'LE'(f(suc(X_66)), s(0)) |
% 4.21/4.45 iLEQ(suc(suc(X_66)), suc(suc(X_66)))),
% 4.21/4.45 inference(subst, [], [refute_0_23 : [bind(X_6, $fot(X_66))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_25, plain,
% 4.21/4.45 (~ 'E'(s(0), f(suc(X_66))) | 'E'(0, f(suc(X_66))) | 'LE'(f(X_66), 0) |
% 4.21/4.45 'LE'(f(suc(X_66)), s(0)) | iLEQ(suc(suc(X_66)), suc(suc(X_66)))),
% 4.21/4.45 inference(resolve, [$cnf('E'(f(suc(X_66)), f(suc(suc(X_66)))))],
% 4.21/4.45 [refute_0_24, refute_0_18])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_26, plain,
% 4.21/4.45 (~ 'E'(s(0), f(suc(X_67))) | 'E'(0, f(suc(X_67))) | 'LE'(f(X_67), 0) |
% 4.21/4.45 'LE'(f(suc(X_67)), s(0)) | iLEQ(suc(suc(X_67)), suc(suc(X_67)))),
% 4.21/4.45 inference(subst, [], [refute_0_25 : [bind(X_66, $fot(X_67))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_27, plain,
% 4.21/4.45 ('E'(0, f(suc(X_67))) | 'LE'(f(X_67), 0) | 'LE'(f(suc(X_67)), s(0)) |
% 4.21/4.45 iLEQ(suc(suc(X_67)), suc(suc(X_67)))),
% 4.21/4.45 inference(resolve, [$cnf('E'(s(0), f(suc(X_67))))],
% 4.21/4.45 [refute_0_7, refute_0_26])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_28, plain,
% 4.21/4.45 ('E'(0, f(suc(X_71))) | 'LE'(f(X_71), 0) | 'LE'(f(suc(X_71)), s(0)) |
% 4.21/4.45 iLEQ(suc(suc(X_71)), suc(suc(X_71)))),
% 4.21/4.45 inference(subst, [], [refute_0_27 : [bind(X_67, $fot(X_71))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_29, plain, ('E'(s(0), f(suc(X_29))) | 'LE'(f(X_29), s(0))),
% 4.21/4.45 inference(subst, [], [refute_0_9 : [bind(B_42, $fot(X_29))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_30, plain,
% 4.21/4.45 ('E'(s(0), f(suc(suc(X_23)))) | 'LE'(f(X_23), s(0))),
% 4.21/4.45 inference(subst, [], [refute_0_12 : [bind(B_42, $fot(X_23))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_31, plain,
% 4.21/4.45 (~ 'E'(f(X_23), f(suc(X_23))) | ~ 'E'(s(0), f(X_23)) |
% 4.21/4.45 ~ 'E'(s(0), f(suc(X_23))) | ~ 'E'(s(0), f(suc(suc(X_23)))) |
% 4.21/4.45 ~ iLEQ(suc(X_23), suc(X_23))),
% 4.21/4.45 inference(subst, [],
% 4.21/4.45 [clause_1256 :
% 4.21/4.45 [bind(A_1, $fot(X_23)), bind(B_43, $fot(X_23)),
% 4.21/4.45 bind(B_44, $fot(X_23)), bind(B_45, $fot(X_23)),
% 4.21/4.45 bind(B_46, $fot(X_23))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_32, plain,
% 4.21/4.45 (~ 'E'(f(X_23), f(suc(X_23))) | ~ 'E'(s(0), f(X_23)) |
% 4.21/4.45 ~ 'E'(s(0), f(suc(X_23))) | ~ iLEQ(suc(X_23), suc(X_23)) |
% 4.21/4.45 'LE'(f(X_23), s(0))),
% 4.21/4.45 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_23)))))],
% 4.21/4.45 [refute_0_30, refute_0_31])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_33, plain,
% 4.21/4.45 (~ 'E'(f(X_29), f(suc(X_29))) | ~ 'E'(s(0), f(X_29)) |
% 4.21/4.45 ~ 'E'(s(0), f(suc(X_29))) | ~ iLEQ(suc(X_29), suc(X_29)) |
% 4.21/4.45 'LE'(f(X_29), s(0))),
% 4.21/4.45 inference(subst, [], [refute_0_32 : [bind(X_23, $fot(X_29))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_34, plain,
% 4.21/4.45 (~ 'E'(f(X_29), f(suc(X_29))) | ~ 'E'(s(0), f(X_29)) |
% 4.21/4.45 ~ iLEQ(suc(X_29), suc(X_29)) | 'LE'(f(X_29), s(0))),
% 4.21/4.45 inference(resolve, [$cnf('E'(s(0), f(suc(X_29))))],
% 4.21/4.45 [refute_0_29, refute_0_33])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_35, plain,
% 4.21/4.45 (~ 'E'(f(suc(X_70)), f(suc(suc(X_70)))) | ~ 'E'(s(0), f(suc(X_70))) |
% 4.21/4.45 ~ iLEQ(suc(suc(X_70)), suc(suc(X_70))) | 'LE'(f(suc(X_70)), s(0))),
% 4.21/4.45 inference(subst, [], [refute_0_34 : [bind(X_29, $fot(suc(X_70)))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_36, plain,
% 4.21/4.45 ('E'(0, f(suc(X_69))) | 'E'(s(0), f(suc(X_69))) | 'LE'(f(X_69), 0)),
% 4.21/4.45 inference(subst, [], [refute_0_5 : [bind(X_6, $fot(X_69))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_37, plain, ('E'(s(0), f(suc(X_12))) | 'LE'(f(X_12), s(0))),
% 4.21/4.45 inference(subst, [], [refute_0_9 : [bind(B_42, $fot(X_12))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_38, plain,
% 4.21/4.45 (~ 'E'(s(0), f(X_12)) | ~ 'E'(s(0), f(suc(X_12))) |
% 4.21/4.45 ~ iLEQ(suc(X_12), suc(X_12)) | 'E'(f(X_12), f(suc(X_12)))),
% 4.21/4.45 inference(subst, [],
% 4.21/4.45 [clause_528 :
% 4.21/4.45 [bind(A_1, $fot(X_12)), bind(B_43, $fot(X_12)),
% 4.21/4.45 bind(B_44, $fot(X_12)), bind(B_45, $fot(X_12)),
% 4.21/4.45 bind(B_46, $fot(X_12))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_39, plain,
% 4.21/4.45 (~ 'E'(s(0), f(X_12)) | ~ iLEQ(suc(X_12), suc(X_12)) |
% 4.21/4.45 'E'(f(X_12), f(suc(X_12))) | 'LE'(f(X_12), s(0))),
% 4.21/4.45 inference(resolve, [$cnf('E'(s(0), f(suc(X_12))))],
% 4.21/4.45 [refute_0_37, refute_0_38])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_40, plain,
% 4.21/4.45 (~ 'E'(s(0), f(suc(X_68))) | ~ iLEQ(suc(suc(X_68)), suc(suc(X_68))) |
% 4.21/4.45 'E'(f(suc(X_68)), f(suc(suc(X_68)))) | 'LE'(f(suc(X_68)), s(0))),
% 4.21/4.45 inference(subst, [], [refute_0_39 : [bind(X_12, $fot(suc(X_68)))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_41, plain,
% 4.21/4.45 ('E'(0, f(suc(X_68))) | 'LE'(f(X_68), 0) | 'LE'(f(suc(X_68)), s(0)) |
% 4.21/4.45 iLEQ(suc(suc(X_68)), suc(suc(X_68)))),
% 4.21/4.45 inference(subst, [], [refute_0_27 : [bind(X_67, $fot(X_68))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_42, plain,
% 4.21/4.45 (~ 'E'(s(0), f(suc(X_68))) | 'E'(0, f(suc(X_68))) |
% 4.21/4.45 'E'(f(suc(X_68)), f(suc(suc(X_68)))) | 'LE'(f(X_68), 0) |
% 4.21/4.45 'LE'(f(suc(X_68)), s(0))),
% 4.21/4.45 inference(resolve, [$cnf(iLEQ(suc(suc(X_68)), suc(suc(X_68))))],
% 4.21/4.45 [refute_0_41, refute_0_40])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_43, plain,
% 4.21/4.45 (~ 'E'(s(0), f(suc(X_69))) | 'E'(0, f(suc(X_69))) |
% 4.21/4.45 'E'(f(suc(X_69)), f(suc(suc(X_69)))) | 'LE'(f(X_69), 0) |
% 4.21/4.45 'LE'(f(suc(X_69)), s(0))),
% 4.21/4.45 inference(subst, [], [refute_0_42 : [bind(X_68, $fot(X_69))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_44, plain,
% 4.21/4.45 ('E'(0, f(suc(X_69))) | 'E'(f(suc(X_69)), f(suc(suc(X_69)))) |
% 4.21/4.45 'LE'(f(X_69), 0) | 'LE'(f(suc(X_69)), s(0))),
% 4.21/4.45 inference(resolve, [$cnf('E'(s(0), f(suc(X_69))))],
% 4.21/4.45 [refute_0_36, refute_0_43])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_45, plain,
% 4.21/4.45 ('E'(0, f(suc(X_70))) | 'E'(f(suc(X_70)), f(suc(suc(X_70)))) |
% 4.21/4.45 'LE'(f(X_70), 0) | 'LE'(f(suc(X_70)), s(0))),
% 4.21/4.45 inference(subst, [], [refute_0_44 : [bind(X_69, $fot(X_70))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_46, plain,
% 4.21/4.45 (~ 'E'(s(0), f(suc(X_70))) | ~ iLEQ(suc(suc(X_70)), suc(suc(X_70))) |
% 4.21/4.45 'E'(0, f(suc(X_70))) | 'LE'(f(X_70), 0) | 'LE'(f(suc(X_70)), s(0))),
% 4.21/4.45 inference(resolve, [$cnf('E'(f(suc(X_70)), f(suc(suc(X_70)))))],
% 4.21/4.45 [refute_0_45, refute_0_35])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_47, plain,
% 4.21/4.45 (~ 'E'(s(0), f(suc(X_71))) | ~ iLEQ(suc(suc(X_71)), suc(suc(X_71))) |
% 4.21/4.45 'E'(0, f(suc(X_71))) | 'LE'(f(X_71), 0) | 'LE'(f(suc(X_71)), s(0))),
% 4.21/4.45 inference(subst, [], [refute_0_46 : [bind(X_70, $fot(X_71))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_48, plain,
% 4.21/4.45 (~ 'E'(s(0), f(suc(X_71))) | 'E'(0, f(suc(X_71))) | 'LE'(f(X_71), 0) |
% 4.21/4.45 'LE'(f(suc(X_71)), s(0))),
% 4.21/4.45 inference(resolve, [$cnf(iLEQ(suc(suc(X_71)), suc(suc(X_71))))],
% 4.21/4.45 [refute_0_28, refute_0_47])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_49, plain,
% 4.21/4.45 (~ 'E'(s(0), f(suc(X_72))) | 'E'(0, f(suc(X_72))) | 'LE'(f(X_72), 0) |
% 4.21/4.45 'LE'(f(suc(X_72)), s(0))),
% 4.21/4.45 inference(subst, [], [refute_0_48 : [bind(X_71, $fot(X_72))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_50, plain,
% 4.21/4.45 ('E'(0, f(suc(X_72))) | 'LE'(f(X_72), 0) | 'LE'(f(suc(X_72)), s(0))),
% 4.21/4.45 inference(resolve, [$cnf('E'(s(0), f(suc(X_72))))],
% 4.21/4.45 [refute_0_6, refute_0_49])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_51, plain,
% 4.21/4.45 ('E'(0, f(suc(X_73))) | 'LE'(f(X_73), 0) | 'LE'(f(suc(X_73)), s(0))),
% 4.21/4.45 inference(subst, [], [refute_0_50 : [bind(X_72, $fot(X_73))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_52, plain, ('E'(0, f(suc(X_73))) | 'LE'(f(X_73), 0)),
% 4.21/4.45 inference(resolve, [$cnf('LE'(f(suc(X_73)), s(0)))],
% 4.21/4.45 [refute_0_51, refute_0_0])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_53, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 4.21/4.45 inference(subst, [], [refute_0_52 : [bind(X_73, $fot(z))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_54, plain,
% 4.21/4.45 (~ 'LE'(f(suc(suc(X_92))), s(0)) | 'E'(0, f(suc(suc(X_92)))) |
% 4.21/4.45 'LE'(f(X_92), 0)),
% 4.21/4.45 inference(subst, [], [clause_138 : [bind(B_60, $fot(X_92))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_55, plain,
% 4.21/4.45 ('E'(s(0), f(suc(suc(X_8)))) | 'LE'(f(suc(suc(X_8))), s(0))),
% 4.21/4.45 inference(subst, [],
% 4.21/4.45 [refute_0_2 : [bind(B_42, $fot(suc(suc(X_8))))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_56, plain,
% 4.21/4.45 (~ 'LE'(f(suc(suc(X_8))), s(0)) | 'E'(0, f(suc(suc(X_8)))) |
% 4.21/4.45 'LE'(f(X_8), 0)),
% 4.21/4.45 inference(subst, [], [clause_138 : [bind(B_60, $fot(X_8))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_57, plain,
% 4.21/4.45 ('E'(0, f(suc(suc(X_8)))) | 'E'(s(0), f(suc(suc(X_8)))) |
% 4.21/4.45 'LE'(f(X_8), 0)),
% 4.21/4.45 inference(resolve, [$cnf('LE'(f(suc(suc(X_8))), s(0)))],
% 4.21/4.45 [refute_0_55, refute_0_56])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_58, plain,
% 4.21/4.45 ('E'(0, f(suc(suc(X_91)))) | 'E'(s(0), f(suc(suc(X_91)))) |
% 4.21/4.45 'LE'(f(X_91), 0)),
% 4.21/4.45 inference(subst, [], [refute_0_57 : [bind(X_8, $fot(X_91))]])).
% 4.21/4.45
% 4.21/4.45 cnf(refute_0_59, plain,
% 4.21/4.45 ('E'(0, f(suc(suc(X_86)))) | 'E'(s(0), f(suc(suc(X_86)))) |
% 4.21/4.45 'LE'(f(X_86), 0)),
% 4.21/4.45 inference(subst, [], [refute_0_57 : [bind(X_8, $fot(X_86))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_60, plain,
% 4.21/4.46 (~ 'E'(f(suc(suc(X_85))), f(suc(suc(suc(X_85))))) |
% 4.21/4.46 ~ 'E'(s(0), f(suc(suc(X_85)))) | 'LE'(f(suc(suc(X_85))), s(0)) |
% 4.21/4.46 iLEQ(suc(suc(suc(X_85))), suc(suc(suc(X_85))))),
% 4.21/4.46 inference(subst, [],
% 4.21/4.46 [refute_0_17 : [bind(X_32, $fot(suc(suc(X_85))))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_61, plain,
% 4.21/4.46 (~ 'E'(s(0), f(suc(suc(X_8)))) |
% 4.21/4.46 'E'(f(suc(suc(X_8))), f(suc(suc(suc(X_8))))) |
% 4.21/4.46 'LE'(f(suc(suc(X_8))), s(0)) |
% 4.21/4.46 iLEQ(suc(suc(suc(X_8))), suc(suc(suc(X_8))))),
% 4.21/4.46 inference(subst, [],
% 4.21/4.46 [refute_0_21 : [bind(X_13, $fot(suc(suc(X_8))))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_62, plain,
% 4.21/4.46 ('E'(0, f(suc(suc(X_8)))) |
% 4.21/4.46 'E'(f(suc(suc(X_8))), f(suc(suc(suc(X_8))))) | 'LE'(f(X_8), 0) |
% 4.21/4.46 'LE'(f(suc(suc(X_8))), s(0)) |
% 4.21/4.46 iLEQ(suc(suc(suc(X_8))), suc(suc(suc(X_8))))),
% 4.21/4.46 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_8)))))],
% 4.21/4.46 [refute_0_57, refute_0_61])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_63, plain,
% 4.21/4.46 ('E'(0, f(suc(suc(X_85)))) |
% 4.21/4.46 'E'(f(suc(suc(X_85))), f(suc(suc(suc(X_85))))) | 'LE'(f(X_85), 0) |
% 4.21/4.46 'LE'(f(suc(suc(X_85))), s(0)) |
% 4.21/4.46 iLEQ(suc(suc(suc(X_85))), suc(suc(suc(X_85))))),
% 4.21/4.46 inference(subst, [], [refute_0_62 : [bind(X_8, $fot(X_85))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_64, plain,
% 4.21/4.46 (~ 'E'(s(0), f(suc(suc(X_85)))) | 'E'(0, f(suc(suc(X_85)))) |
% 4.21/4.46 'LE'(f(X_85), 0) | 'LE'(f(suc(suc(X_85))), s(0)) |
% 4.21/4.46 iLEQ(suc(suc(suc(X_85))), suc(suc(suc(X_85))))),
% 4.21/4.46 inference(resolve,
% 4.21/4.46 [$cnf('E'(f(suc(suc(X_85))), f(suc(suc(suc(X_85))))))],
% 4.21/4.46 [refute_0_63, refute_0_60])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_65, plain,
% 4.21/4.46 (~ 'E'(s(0), f(suc(suc(X_86)))) | 'E'(0, f(suc(suc(X_86)))) |
% 4.21/4.46 'LE'(f(X_86), 0) | 'LE'(f(suc(suc(X_86))), s(0)) |
% 4.21/4.46 iLEQ(suc(suc(suc(X_86))), suc(suc(suc(X_86))))),
% 4.21/4.46 inference(subst, [], [refute_0_64 : [bind(X_85, $fot(X_86))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_66, plain,
% 4.21/4.46 ('E'(0, f(suc(suc(X_86)))) | 'LE'(f(X_86), 0) |
% 4.21/4.46 'LE'(f(suc(suc(X_86))), s(0)) |
% 4.21/4.46 iLEQ(suc(suc(suc(X_86))), suc(suc(suc(X_86))))),
% 4.21/4.46 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_86)))))],
% 4.21/4.46 [refute_0_59, refute_0_65])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_67, plain,
% 4.21/4.46 ('E'(0, f(suc(suc(X_90)))) | 'LE'(f(X_90), 0) |
% 4.21/4.46 'LE'(f(suc(suc(X_90))), s(0)) |
% 4.21/4.46 iLEQ(suc(suc(suc(X_90))), suc(suc(suc(X_90))))),
% 4.21/4.46 inference(subst, [], [refute_0_66 : [bind(X_86, $fot(X_90))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_68, plain,
% 4.21/4.46 (~ 'E'(f(suc(suc(X_89))), f(suc(suc(suc(X_89))))) |
% 4.21/4.46 ~ 'E'(s(0), f(suc(suc(X_89)))) |
% 4.21/4.46 ~ iLEQ(suc(suc(suc(X_89))), suc(suc(suc(X_89)))) |
% 4.21/4.46 'LE'(f(suc(suc(X_89))), s(0))),
% 4.21/4.46 inference(subst, [],
% 4.21/4.46 [refute_0_34 : [bind(X_29, $fot(suc(suc(X_89))))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_69, plain,
% 4.21/4.46 ('E'(0, f(suc(suc(X_88)))) | 'E'(s(0), f(suc(suc(X_88)))) |
% 4.21/4.46 'LE'(f(X_88), 0)),
% 4.21/4.46 inference(subst, [], [refute_0_57 : [bind(X_8, $fot(X_88))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_70, plain,
% 4.21/4.46 (~ 'E'(s(0), f(suc(suc(X_87)))) |
% 4.21/4.46 ~ iLEQ(suc(suc(suc(X_87))), suc(suc(suc(X_87)))) |
% 4.21/4.46 'E'(f(suc(suc(X_87))), f(suc(suc(suc(X_87))))) |
% 4.21/4.46 'LE'(f(suc(suc(X_87))), s(0))),
% 4.21/4.46 inference(subst, [],
% 4.21/4.46 [refute_0_39 : [bind(X_12, $fot(suc(suc(X_87))))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_71, plain,
% 4.21/4.46 ('E'(0, f(suc(suc(X_87)))) | 'LE'(f(X_87), 0) |
% 4.21/4.46 'LE'(f(suc(suc(X_87))), s(0)) |
% 4.21/4.46 iLEQ(suc(suc(suc(X_87))), suc(suc(suc(X_87))))),
% 4.21/4.46 inference(subst, [], [refute_0_66 : [bind(X_86, $fot(X_87))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_72, plain,
% 4.21/4.46 (~ 'E'(s(0), f(suc(suc(X_87)))) | 'E'(0, f(suc(suc(X_87)))) |
% 4.21/4.46 'E'(f(suc(suc(X_87))), f(suc(suc(suc(X_87))))) | 'LE'(f(X_87), 0) |
% 4.21/4.46 'LE'(f(suc(suc(X_87))), s(0))),
% 4.21/4.46 inference(resolve,
% 4.21/4.46 [$cnf(iLEQ(suc(suc(suc(X_87))), suc(suc(suc(X_87)))))],
% 4.21/4.46 [refute_0_71, refute_0_70])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_73, plain,
% 4.21/4.46 (~ 'E'(s(0), f(suc(suc(X_88)))) | 'E'(0, f(suc(suc(X_88)))) |
% 4.21/4.46 'E'(f(suc(suc(X_88))), f(suc(suc(suc(X_88))))) | 'LE'(f(X_88), 0) |
% 4.21/4.46 'LE'(f(suc(suc(X_88))), s(0))),
% 4.21/4.46 inference(subst, [], [refute_0_72 : [bind(X_87, $fot(X_88))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_74, plain,
% 4.21/4.46 ('E'(0, f(suc(suc(X_88)))) |
% 4.21/4.46 'E'(f(suc(suc(X_88))), f(suc(suc(suc(X_88))))) | 'LE'(f(X_88), 0) |
% 4.21/4.46 'LE'(f(suc(suc(X_88))), s(0))),
% 4.21/4.46 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_88)))))],
% 4.21/4.46 [refute_0_69, refute_0_73])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_75, plain,
% 4.21/4.46 ('E'(0, f(suc(suc(X_89)))) |
% 4.21/4.46 'E'(f(suc(suc(X_89))), f(suc(suc(suc(X_89))))) | 'LE'(f(X_89), 0) |
% 4.21/4.46 'LE'(f(suc(suc(X_89))), s(0))),
% 4.21/4.46 inference(subst, [], [refute_0_74 : [bind(X_88, $fot(X_89))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_76, plain,
% 4.21/4.46 (~ 'E'(s(0), f(suc(suc(X_89)))) |
% 4.21/4.46 ~ iLEQ(suc(suc(suc(X_89))), suc(suc(suc(X_89)))) |
% 4.21/4.46 'E'(0, f(suc(suc(X_89)))) | 'LE'(f(X_89), 0) |
% 4.21/4.46 'LE'(f(suc(suc(X_89))), s(0))),
% 4.21/4.46 inference(resolve,
% 4.21/4.46 [$cnf('E'(f(suc(suc(X_89))), f(suc(suc(suc(X_89))))))],
% 4.21/4.46 [refute_0_75, refute_0_68])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_77, plain,
% 4.21/4.46 (~ 'E'(s(0), f(suc(suc(X_90)))) |
% 4.21/4.46 ~ iLEQ(suc(suc(suc(X_90))), suc(suc(suc(X_90)))) |
% 4.21/4.46 'E'(0, f(suc(suc(X_90)))) | 'LE'(f(X_90), 0) |
% 4.21/4.46 'LE'(f(suc(suc(X_90))), s(0))),
% 4.21/4.46 inference(subst, [], [refute_0_76 : [bind(X_89, $fot(X_90))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_78, plain,
% 4.21/4.46 (~ 'E'(s(0), f(suc(suc(X_90)))) | 'E'(0, f(suc(suc(X_90)))) |
% 4.21/4.46 'LE'(f(X_90), 0) | 'LE'(f(suc(suc(X_90))), s(0))),
% 4.21/4.46 inference(resolve,
% 4.21/4.46 [$cnf(iLEQ(suc(suc(suc(X_90))), suc(suc(suc(X_90)))))],
% 4.21/4.46 [refute_0_67, refute_0_77])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_79, plain,
% 4.21/4.46 (~ 'E'(s(0), f(suc(suc(X_91)))) | 'E'(0, f(suc(suc(X_91)))) |
% 4.21/4.46 'LE'(f(X_91), 0) | 'LE'(f(suc(suc(X_91))), s(0))),
% 4.21/4.46 inference(subst, [], [refute_0_78 : [bind(X_90, $fot(X_91))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_80, plain,
% 4.21/4.46 ('E'(0, f(suc(suc(X_91)))) | 'LE'(f(X_91), 0) |
% 4.21/4.46 'LE'(f(suc(suc(X_91))), s(0))),
% 4.21/4.46 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_91)))))],
% 4.21/4.46 [refute_0_58, refute_0_79])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_81, plain,
% 4.21/4.46 ('E'(0, f(suc(suc(X_92)))) | 'LE'(f(X_92), 0) |
% 4.21/4.46 'LE'(f(suc(suc(X_92))), s(0))),
% 4.21/4.46 inference(subst, [], [refute_0_80 : [bind(X_91, $fot(X_92))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_82, plain, ('E'(0, f(suc(suc(X_92)))) | 'LE'(f(X_92), 0)),
% 4.21/4.46 inference(resolve, [$cnf('LE'(f(suc(suc(X_92))), s(0)))],
% 4.21/4.46 [refute_0_81, refute_0_54])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_83, plain, ('E'(0, f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 4.21/4.46 inference(subst, [], [refute_0_82 : [bind(X_92, $fot(z))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_84, plain,
% 4.21/4.46 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 4.21/4.46 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 4.21/4.46 inference(subst, [],
% 4.21/4.46 [clause_948 :
% 4.21/4.46 [bind(A_2, $fot(z)), bind(B_61, $fot(z)),
% 4.21/4.46 bind(B_62, $fot(z)), bind(B_63, $fot(z)),
% 4.21/4.46 bind(B_64, $fot(z))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_85, plain,
% 4.21/4.46 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z)) |
% 4.21/4.46 'E'(f(z), f(suc(z)))),
% 4.21/4.46 inference(subst, [],
% 4.21/4.46 [clause_672 :
% 4.21/4.46 [bind(A_2, $fot(z)), bind(B_61, $fot(z)),
% 4.21/4.46 bind(B_62, $fot(z)), bind(B_63, $fot(z)),
% 4.21/4.46 bind(B_64, $fot(z))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_86, plain,
% 4.21/4.46 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 4.21/4.46 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 4.21/4.46 inference(subst, [], [clause_1303 : [bind(A_2, $fot(z))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_87, plain,
% 4.21/4.46 (~ 'LE'(f(X_53), s(0)) | 'E'(0, f(X_53)) | 'LE'(f(X_53), 0)),
% 4.21/4.46 inference(subst, [], [clause_1187 : [bind(B_60, $fot(X_53))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_88, plain, ('E'(s(0), f(X_4)) | 'LE'(f(X_4), s(0))),
% 4.21/4.46 inference(subst, [], [refute_0_2 : [bind(B_42, $fot(X_4))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_89, plain,
% 4.21/4.46 (~ 'LE'(f(X_4), s(0)) | 'E'(0, f(X_4)) | 'LE'(f(X_4), 0)),
% 4.21/4.46 inference(subst, [], [clause_1187 : [bind(B_60, $fot(X_4))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_90, plain,
% 4.21/4.46 ('E'(0, f(X_4)) | 'E'(s(0), f(X_4)) | 'LE'(f(X_4), 0)),
% 4.21/4.46 inference(resolve, [$cnf('LE'(f(X_4), s(0)))],
% 4.21/4.46 [refute_0_88, refute_0_89])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_91, plain,
% 4.21/4.46 ('E'(0, f(X_52)) | 'E'(s(0), f(X_52)) | 'LE'(f(X_52), 0)),
% 4.21/4.46 inference(subst, [], [refute_0_90 : [bind(X_4, $fot(X_52))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_92, plain,
% 4.21/4.46 ('E'(0, f(X_38)) | 'E'(s(0), f(X_38)) | 'LE'(f(X_38), 0)),
% 4.21/4.46 inference(subst, [], [refute_0_90 : [bind(X_4, $fot(X_38))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_93, plain,
% 4.21/4.46 ('E'(0, f(X_15)) | 'E'(s(0), f(X_15)) | 'LE'(f(X_15), 0)),
% 4.21/4.46 inference(subst, [], [refute_0_90 : [bind(X_4, $fot(X_15))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_94, plain,
% 4.21/4.46 (~ 'E'(s(0), f(X_15)) | 'E'(f(X_15), f(suc(X_15))) |
% 4.21/4.46 'LE'(f(X_15), s(0)) | iLEQ(suc(X_15), suc(X_15))),
% 4.21/4.46 inference(subst, [], [refute_0_21 : [bind(X_13, $fot(X_15))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_95, plain,
% 4.21/4.46 ('E'(0, f(X_15)) | 'E'(f(X_15), f(suc(X_15))) | 'LE'(f(X_15), 0) |
% 4.21/4.46 'LE'(f(X_15), s(0)) | iLEQ(suc(X_15), suc(X_15))),
% 4.21/4.46 inference(resolve, [$cnf('E'(s(0), f(X_15)))],
% 4.21/4.46 [refute_0_93, refute_0_94])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_96, plain,
% 4.21/4.46 ('E'(0, f(X_33)) | 'E'(f(X_33), f(suc(X_33))) | 'LE'(f(X_33), 0) |
% 4.21/4.46 'LE'(f(X_33), s(0)) | iLEQ(suc(X_33), suc(X_33))),
% 4.21/4.46 inference(subst, [], [refute_0_95 : [bind(X_15, $fot(X_33))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_97, plain,
% 4.21/4.46 (~ 'E'(f(X_33), f(suc(X_33))) | ~ 'E'(s(0), f(X_33)) |
% 4.21/4.46 'LE'(f(X_33), s(0)) | iLEQ(suc(X_33), suc(X_33))),
% 4.21/4.46 inference(subst, [], [refute_0_17 : [bind(X_32, $fot(X_33))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_98, plain,
% 4.21/4.46 (~ 'E'(s(0), f(X_33)) | 'E'(0, f(X_33)) | 'LE'(f(X_33), 0) |
% 4.21/4.46 'LE'(f(X_33), s(0)) | iLEQ(suc(X_33), suc(X_33))),
% 4.21/4.46 inference(resolve, [$cnf('E'(f(X_33), f(suc(X_33))))],
% 4.21/4.46 [refute_0_96, refute_0_97])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_99, plain,
% 4.21/4.46 (~ 'E'(s(0), f(X_38)) | 'E'(0, f(X_38)) | 'LE'(f(X_38), 0) |
% 4.21/4.46 'LE'(f(X_38), s(0)) | iLEQ(suc(X_38), suc(X_38))),
% 4.21/4.46 inference(subst, [], [refute_0_98 : [bind(X_33, $fot(X_38))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_100, plain,
% 4.21/4.46 ('E'(0, f(X_38)) | 'LE'(f(X_38), 0) | 'LE'(f(X_38), s(0)) |
% 4.21/4.46 iLEQ(suc(X_38), suc(X_38))),
% 4.21/4.46 inference(resolve, [$cnf('E'(s(0), f(X_38)))],
% 4.21/4.46 [refute_0_92, refute_0_99])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_101, plain,
% 4.21/4.46 ('E'(0, f(X_51)) | 'LE'(f(X_51), 0) | 'LE'(f(X_51), s(0)) |
% 4.21/4.46 iLEQ(suc(X_51), suc(X_51))),
% 4.21/4.46 inference(subst, [], [refute_0_100 : [bind(X_38, $fot(X_51))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_102, plain,
% 4.21/4.46 (~ 'E'(f(X_49), f(suc(X_49))) | ~ 'E'(s(0), f(X_49)) |
% 4.21/4.46 ~ iLEQ(suc(X_49), suc(X_49)) | 'LE'(f(X_49), s(0))),
% 4.21/4.46 inference(subst, [], [refute_0_34 : [bind(X_29, $fot(X_49))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_103, plain,
% 4.21/4.46 ('E'(0, f(X_48)) | 'E'(s(0), f(X_48)) | 'LE'(f(X_48), 0)),
% 4.21/4.46 inference(subst, [], [refute_0_90 : [bind(X_4, $fot(X_48))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_104, plain,
% 4.21/4.46 (~ 'E'(s(0), f(X_39)) | ~ iLEQ(suc(X_39), suc(X_39)) |
% 4.21/4.46 'E'(f(X_39), f(suc(X_39))) | 'LE'(f(X_39), s(0))),
% 4.21/4.46 inference(subst, [], [refute_0_39 : [bind(X_12, $fot(X_39))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_105, plain,
% 4.21/4.46 ('E'(0, f(X_39)) | 'LE'(f(X_39), 0) | 'LE'(f(X_39), s(0)) |
% 4.21/4.46 iLEQ(suc(X_39), suc(X_39))),
% 4.21/4.46 inference(subst, [], [refute_0_100 : [bind(X_38, $fot(X_39))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_106, plain,
% 4.21/4.46 (~ 'E'(s(0), f(X_39)) | 'E'(0, f(X_39)) | 'E'(f(X_39), f(suc(X_39))) |
% 4.21/4.46 'LE'(f(X_39), 0) | 'LE'(f(X_39), s(0))),
% 4.21/4.46 inference(resolve, [$cnf(iLEQ(suc(X_39), suc(X_39)))],
% 4.21/4.46 [refute_0_105, refute_0_104])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_107, plain,
% 4.21/4.46 (~ 'E'(s(0), f(X_48)) | 'E'(0, f(X_48)) | 'E'(f(X_48), f(suc(X_48))) |
% 4.21/4.46 'LE'(f(X_48), 0) | 'LE'(f(X_48), s(0))),
% 4.21/4.46 inference(subst, [], [refute_0_106 : [bind(X_39, $fot(X_48))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_108, plain,
% 4.21/4.46 ('E'(0, f(X_48)) | 'E'(f(X_48), f(suc(X_48))) | 'LE'(f(X_48), 0) |
% 4.21/4.46 'LE'(f(X_48), s(0))),
% 4.21/4.46 inference(resolve, [$cnf('E'(s(0), f(X_48)))],
% 4.21/4.46 [refute_0_103, refute_0_107])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_109, plain,
% 4.21/4.46 ('E'(0, f(X_49)) | 'E'(f(X_49), f(suc(X_49))) | 'LE'(f(X_49), 0) |
% 4.21/4.46 'LE'(f(X_49), s(0))),
% 4.21/4.46 inference(subst, [], [refute_0_108 : [bind(X_48, $fot(X_49))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_110, plain,
% 4.21/4.46 (~ 'E'(s(0), f(X_49)) | ~ iLEQ(suc(X_49), suc(X_49)) |
% 4.21/4.46 'E'(0, f(X_49)) | 'LE'(f(X_49), 0) | 'LE'(f(X_49), s(0))),
% 4.21/4.46 inference(resolve, [$cnf('E'(f(X_49), f(suc(X_49))))],
% 4.21/4.46 [refute_0_109, refute_0_102])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_111, plain,
% 4.21/4.46 (~ 'E'(s(0), f(X_51)) | ~ iLEQ(suc(X_51), suc(X_51)) |
% 4.21/4.46 'E'(0, f(X_51)) | 'LE'(f(X_51), 0) | 'LE'(f(X_51), s(0))),
% 4.21/4.46 inference(subst, [], [refute_0_110 : [bind(X_49, $fot(X_51))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_112, plain,
% 4.21/4.46 (~ 'E'(s(0), f(X_51)) | 'E'(0, f(X_51)) | 'LE'(f(X_51), 0) |
% 4.21/4.46 'LE'(f(X_51), s(0))),
% 4.21/4.46 inference(resolve, [$cnf(iLEQ(suc(X_51), suc(X_51)))],
% 4.21/4.46 [refute_0_101, refute_0_111])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_113, plain,
% 4.21/4.46 (~ 'E'(s(0), f(X_52)) | 'E'(0, f(X_52)) | 'LE'(f(X_52), 0) |
% 4.21/4.46 'LE'(f(X_52), s(0))),
% 4.21/4.46 inference(subst, [], [refute_0_112 : [bind(X_51, $fot(X_52))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_114, plain,
% 4.21/4.46 ('E'(0, f(X_52)) | 'LE'(f(X_52), 0) | 'LE'(f(X_52), s(0))),
% 4.21/4.46 inference(resolve, [$cnf('E'(s(0), f(X_52)))],
% 4.21/4.46 [refute_0_91, refute_0_113])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_115, plain,
% 4.21/4.46 ('E'(0, f(X_53)) | 'LE'(f(X_53), 0) | 'LE'(f(X_53), s(0))),
% 4.21/4.46 inference(subst, [], [refute_0_114 : [bind(X_52, $fot(X_53))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_116, plain, ('E'(0, f(X_53)) | 'LE'(f(X_53), 0)),
% 4.21/4.46 inference(resolve, [$cnf('LE'(f(X_53), s(0)))],
% 4.21/4.46 [refute_0_115, refute_0_87])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_117, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 4.21/4.46 inference(subst, [], [refute_0_116 : [bind(X_53, $fot(z))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_118, plain, ('E'(0, f(z))),
% 4.21/4.46 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_117, clause_877])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_119, plain,
% 4.21/4.46 (~ 'E'(0, f(X_74)) | ~ 'E'(0, f(suc(X_74))) |
% 4.21/4.46 'E'(f(X_74), f(suc(X_74))) | iLEQ(suc(X_74), suc(X_74))),
% 4.21/4.46 inference(subst, [], [clause_977 : [bind(A_2, $fot(X_74))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_120, plain, ('E'(0, f(suc(X_74))) | 'LE'(f(X_74), 0)),
% 4.21/4.46 inference(subst, [], [refute_0_52 : [bind(X_73, $fot(X_74))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_121, plain,
% 4.21/4.46 (~ 'E'(0, f(X_74)) | 'E'(f(X_74), f(suc(X_74))) | 'LE'(f(X_74), 0) |
% 4.21/4.46 iLEQ(suc(X_74), suc(X_74))),
% 4.21/4.46 inference(resolve, [$cnf('E'(0, f(suc(X_74))))],
% 4.21/4.46 [refute_0_120, refute_0_119])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_122, plain,
% 4.21/4.46 (~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) |
% 4.21/4.46 iLEQ(suc(z), suc(z))),
% 4.21/4.46 inference(subst, [], [refute_0_121 : [bind(X_74, $fot(z))]])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_123, plain,
% 4.21/4.46 ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 4.21/4.46 inference(resolve, [$cnf('E'(0, f(z)))],
% 4.21/4.46 [refute_0_118, refute_0_122])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_124, plain, ('E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 4.21/4.46 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_123, clause_877])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_125, plain,
% 4.21/4.46 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 4.21/4.46 iLEQ(suc(z), suc(z))),
% 4.21/4.46 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 4.21/4.46 [refute_0_124, refute_0_86])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_126, plain,
% 4.21/4.46 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 4.21/4.46 iLEQ(suc(z), suc(z))),
% 4.21/4.46 inference(resolve, [$cnf('E'(0, f(z)))],
% 4.21/4.46 [refute_0_118, refute_0_125])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_127, plain,
% 4.21/4.46 (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 4.21/4.46 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 4.21/4.46 [refute_0_83, refute_0_126])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_128, plain, (~ 'E'(0, f(suc(z))) | iLEQ(suc(z), suc(z))),
% 4.21/4.46 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_127, clause_877])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_129, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 4.21/4.46 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 4.21/4.46 [refute_0_53, refute_0_128])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_130, plain, (iLEQ(suc(z), suc(z))),
% 4.21/4.46 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_129, clause_877])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_131, plain,
% 4.21/4.46 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z)))),
% 4.21/4.46 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 4.21/4.46 [refute_0_130, refute_0_85])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_132, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(z)))),
% 4.21/4.46 inference(resolve, [$cnf('E'(0, f(z)))],
% 4.21/4.46 [refute_0_118, refute_0_131])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_133, plain, ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0)),
% 4.21/4.46 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 4.21/4.46 [refute_0_53, refute_0_132])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_134, plain, ('E'(f(z), f(suc(z)))),
% 4.21/4.46 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_133, clause_877])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_135, plain,
% 4.21/4.46 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 4.21/4.46 ~ iLEQ(suc(z), suc(z))),
% 4.21/4.46 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 4.21/4.46 [refute_0_134, refute_0_84])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_136, plain,
% 4.21/4.46 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 4.21/4.46 ~ iLEQ(suc(z), suc(z))),
% 4.21/4.46 inference(resolve, [$cnf('E'(0, f(z)))],
% 4.21/4.46 [refute_0_118, refute_0_135])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_137, plain, (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z)))),
% 4.21/4.46 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 4.21/4.46 [refute_0_130, refute_0_136])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_138, plain, (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 4.21/4.46 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 4.21/4.46 [refute_0_83, refute_0_137])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_139, plain, (~ 'E'(0, f(suc(z)))),
% 4.21/4.46 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_138, clause_877])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_140, plain, ('LE'(f(z), 0)),
% 4.21/4.46 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 4.21/4.46 [refute_0_53, refute_0_139])).
% 4.21/4.46
% 4.21/4.46 cnf(refute_0_141, plain, ($false),
% 4.21/4.46 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_140, clause_877])).
% 4.21/4.46 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.21/4.46
%------------------------------------------------------------------------------