TSTP Solution File: SYO664-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO664-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO664-1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n028.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 20:27:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 cnf(clause_37, axiom,
% 0.12/0.38 (~ 'E'(s(0), f(suc(B_45))) | ~ 'E'(s(0), f(B_45)) |
% 0.12/0.38 ~ 'E'(s(0), f(suc(B_46))) | ~ 'E'(s(0), f(suc(B_43))) |
% 0.12/0.38 ~ 'E'(s(0), f(A_1)) | ~ 'E'(s(0), f(suc(A_1))) |
% 0.12/0.38 ~ iLEQ(suc(A_1), suc(B_43)) | ~ 'E'(s(0), f(B_43)) |
% 0.12/0.38 ~ iLEQ(suc(B_44), suc(B_45)) | ~ 'E'(s(0), f(B_46)) |
% 0.12/0.38 ~ 'E'(s(0), f(B_44)) | ~ iLEQ(suc(B_45), suc(B_46)) |
% 0.12/0.38 ~ iLEQ(suc(B_43), suc(B_44)) | ~ 'E'(s(0), f(suc(B_44))))).
% 0.12/0.38
% 0.12/0.38 cnf(clause_70, axiom, (~ 'LE'(f(z), 0))).
% 0.12/0.38
% 0.12/0.38 cnf(clause_20, axiom,
% 0.12/0.38 (~ 'LE'(f(B_42), s(s(0))) | 'E'(s(0), f(B_42)) | 'LE'(f(B_42), s(0)))).
% 0.12/0.38
% 0.12/0.38 cnf(clause_66, axiom,
% 0.12/0.38 (~ 'E'(0, f(B_63)) | ~ 'E'(0, f(suc(B_61))) | ~ 'E'(0, f(suc(A_2))) |
% 0.12/0.38 ~ iLEQ(suc(A_2), suc(B_61)) | ~ iLEQ(suc(B_61), suc(B_62)) |
% 0.12/0.38 ~ 'E'(0, f(suc(B_63))) | ~ 'E'(0, f(A_2)) |
% 0.12/0.38 ~ iLEQ(suc(B_62), suc(B_63)) | ~ 'E'(0, f(B_64)) |
% 0.12/0.38 ~ iLEQ(suc(B_63), suc(B_64)) | ~ 'E'(0, f(suc(B_62))) |
% 0.12/0.38 ~ 'E'(0, f(B_61)) | ~ 'E'(0, f(suc(B_64))) | ~ 'E'(0, f(B_62)))).
% 0.12/0.38
% 0.12/0.38 cnf(clause_58, axiom, ('LE'(f(A), s(s(0))))).
% 0.12/0.38
% 0.12/0.38 cnf(clause_6, axiom,
% 0.12/0.38 (~ 'E'(0, f(A_2)) | ~ 'E'(0, f(suc(A_2))) | iLEQ(suc(A_2), suc(A_2)))).
% 0.12/0.38
% 0.12/0.38 cnf(clause_117, axiom,
% 0.12/0.38 (~ 'LE'(f(suc(B_60)), s(0)) | 'E'(0, f(suc(B_60))) |
% 0.12/0.38 'LE'(f(B_60), 0))).
% 0.12/0.38
% 0.12/0.38 cnf(clause_94, axiom,
% 0.12/0.38 (~ 'LE'(f(B_60), s(0)) | 'E'(0, f(B_60)) | 'LE'(f(B_60), 0))).
% 0.12/0.38
% 0.12/0.38 cnf(clause_50, axiom,
% 0.12/0.38 (~ 'E'(s(0), f(A_1)) | ~ 'E'(s(0), f(suc(A_1))) |
% 0.12/0.38 iLEQ(suc(A_1), suc(A_1)))).
% 0.12/0.38
% 0.12/0.38 cnf(clause_83, axiom,
% 0.12/0.38 (~ 'LE'(f(suc(B_42)), s(s(0))) | 'E'(s(0), f(suc(B_42))) |
% 0.12/0.38 'LE'(f(B_42), s(0)))).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_0, plain,
% 0.12/0.38 (~ 'LE'(f(suc(X_34)), s(0)) | 'E'(0, f(suc(X_34))) | 'LE'(f(X_34), 0)),
% 0.12/0.38 inference(subst, [], [clause_117 : [bind(B_60, $fot(X_34))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_1, plain, ('LE'(f(B_42), s(s(0)))),
% 0.12/0.38 inference(subst, [], [clause_58 : [bind(A, $fot(B_42))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_2, plain, ('E'(s(0), f(B_42)) | 'LE'(f(B_42), s(0))),
% 0.12/0.38 inference(resolve, [$cnf('LE'(f(B_42), s(s(0))))],
% 0.12/0.38 [refute_0_1, clause_20])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_3, plain, ('E'(s(0), f(suc(X_7))) | 'LE'(f(suc(X_7)), s(0))),
% 0.12/0.38 inference(subst, [], [refute_0_2 : [bind(B_42, $fot(suc(X_7)))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_4, plain,
% 0.12/0.38 (~ 'LE'(f(suc(X_7)), s(0)) | 'E'(0, f(suc(X_7))) | 'LE'(f(X_7), 0)),
% 0.12/0.38 inference(subst, [], [clause_117 : [bind(B_60, $fot(X_7))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_5, plain,
% 0.12/0.38 ('E'(0, f(suc(X_7))) | 'E'(s(0), f(suc(X_7))) | 'LE'(f(X_7), 0)),
% 0.12/0.38 inference(resolve, [$cnf('LE'(f(suc(X_7)), s(0)))],
% 0.12/0.38 [refute_0_3, refute_0_4])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_6, plain,
% 0.12/0.38 ('E'(0, f(suc(X_33))) | 'E'(s(0), f(suc(X_33))) | 'LE'(f(X_33), 0)),
% 0.12/0.38 inference(subst, [], [refute_0_5 : [bind(X_7, $fot(X_33))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_7, plain, ('LE'(f(suc(B_42)), s(s(0)))),
% 0.12/0.38 inference(subst, [], [clause_58 : [bind(A, $fot(suc(B_42)))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_8, plain, ('E'(s(0), f(suc(B_42))) | 'LE'(f(B_42), s(0))),
% 0.12/0.38 inference(resolve, [$cnf('LE'(f(suc(B_42)), s(s(0))))],
% 0.12/0.38 [refute_0_7, clause_83])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_9, plain, ('E'(s(0), f(suc(X_10))) | 'LE'(f(X_10), s(0))),
% 0.12/0.38 inference(subst, [], [refute_0_8 : [bind(B_42, $fot(X_10))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_10, plain,
% 0.12/0.38 (~ 'E'(s(0), f(X_10)) | ~ 'E'(s(0), f(suc(X_10))) |
% 0.12/0.38 ~ iLEQ(suc(X_10), suc(X_10))),
% 0.12/0.38 inference(subst, [],
% 0.12/0.38 [clause_37 :
% 0.12/0.38 [bind(A_1, $fot(X_10)), bind(B_43, $fot(X_10)),
% 0.12/0.38 bind(B_44, $fot(X_10)), bind(B_45, $fot(X_10)),
% 0.12/0.38 bind(B_46, $fot(X_10))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_11, plain,
% 0.12/0.38 (~ 'E'(s(0), f(X_10)) | ~ iLEQ(suc(X_10), suc(X_10)) |
% 0.12/0.38 'LE'(f(X_10), s(0))),
% 0.12/0.38 inference(resolve, [$cnf('E'(s(0), f(suc(X_10))))],
% 0.12/0.38 [refute_0_9, refute_0_10])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_12, plain,
% 0.12/0.38 (~ 'E'(s(0), f(suc(X_32))) | ~ iLEQ(suc(suc(X_32)), suc(suc(X_32))) |
% 0.12/0.38 'LE'(f(suc(X_32)), s(0))),
% 0.12/0.38 inference(subst, [], [refute_0_11 : [bind(X_10, $fot(suc(X_32)))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_13, plain, ('E'(s(0), f(suc(X_8))) | 'LE'(f(X_8), s(0))),
% 0.12/0.38 inference(subst, [], [refute_0_8 : [bind(B_42, $fot(X_8))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_14, plain,
% 0.12/0.38 (~ 'E'(s(0), f(X_8)) | ~ 'E'(s(0), f(suc(X_8))) |
% 0.12/0.38 iLEQ(suc(X_8), suc(X_8))),
% 0.12/0.38 inference(subst, [], [clause_50 : [bind(A_1, $fot(X_8))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_15, plain,
% 0.12/0.38 (~ 'E'(s(0), f(X_8)) | 'LE'(f(X_8), s(0)) | iLEQ(suc(X_8), suc(X_8))),
% 0.12/0.38 inference(resolve, [$cnf('E'(s(0), f(suc(X_8))))],
% 0.12/0.38 [refute_0_13, refute_0_14])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_16, plain,
% 0.12/0.38 (~ 'E'(s(0), f(suc(X_7))) | 'LE'(f(suc(X_7)), s(0)) |
% 0.12/0.38 iLEQ(suc(suc(X_7)), suc(suc(X_7)))),
% 0.12/0.38 inference(subst, [], [refute_0_15 : [bind(X_8, $fot(suc(X_7)))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_17, plain,
% 0.12/0.38 ('E'(0, f(suc(X_7))) | 'LE'(f(X_7), 0) | 'LE'(f(suc(X_7)), s(0)) |
% 0.12/0.38 iLEQ(suc(suc(X_7)), suc(suc(X_7)))),
% 0.12/0.38 inference(resolve, [$cnf('E'(s(0), f(suc(X_7))))],
% 0.12/0.38 [refute_0_5, refute_0_16])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_18, plain,
% 0.12/0.38 ('E'(0, f(suc(X_32))) | 'LE'(f(X_32), 0) | 'LE'(f(suc(X_32)), s(0)) |
% 0.12/0.38 iLEQ(suc(suc(X_32)), suc(suc(X_32)))),
% 0.12/0.38 inference(subst, [], [refute_0_17 : [bind(X_7, $fot(X_32))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_19, plain,
% 0.12/0.38 (~ 'E'(s(0), f(suc(X_32))) | 'E'(0, f(suc(X_32))) | 'LE'(f(X_32), 0) |
% 0.12/0.38 'LE'(f(suc(X_32)), s(0))),
% 0.12/0.38 inference(resolve, [$cnf(iLEQ(suc(suc(X_32)), suc(suc(X_32))))],
% 0.12/0.38 [refute_0_18, refute_0_12])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_20, plain,
% 0.12/0.38 (~ 'E'(s(0), f(suc(X_33))) | 'E'(0, f(suc(X_33))) | 'LE'(f(X_33), 0) |
% 0.12/0.38 'LE'(f(suc(X_33)), s(0))),
% 0.12/0.38 inference(subst, [], [refute_0_19 : [bind(X_32, $fot(X_33))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_21, plain,
% 0.12/0.38 ('E'(0, f(suc(X_33))) | 'LE'(f(X_33), 0) | 'LE'(f(suc(X_33)), s(0))),
% 0.12/0.38 inference(resolve, [$cnf('E'(s(0), f(suc(X_33))))],
% 0.12/0.38 [refute_0_6, refute_0_20])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_22, plain,
% 0.12/0.38 ('E'(0, f(suc(X_34))) | 'LE'(f(X_34), 0) | 'LE'(f(suc(X_34)), s(0))),
% 0.12/0.38 inference(subst, [], [refute_0_21 : [bind(X_33, $fot(X_34))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_23, plain, ('E'(0, f(suc(X_34))) | 'LE'(f(X_34), 0)),
% 0.12/0.38 inference(resolve, [$cnf('LE'(f(suc(X_34)), s(0)))],
% 0.12/0.38 [refute_0_22, refute_0_0])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_24, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.12/0.38 inference(subst, [], [refute_0_23 : [bind(X_34, $fot(z))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_25, plain,
% 0.12/0.38 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z))),
% 0.12/0.38 inference(subst, [],
% 0.12/0.38 [clause_66 :
% 0.12/0.38 [bind(A_2, $fot(z)), bind(B_61, $fot(z)),
% 0.12/0.38 bind(B_62, $fot(z)), bind(B_63, $fot(z)),
% 0.12/0.38 bind(B_64, $fot(z))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_26, plain,
% 0.12/0.38 (~ 'LE'(f(X_30), s(0)) | 'E'(0, f(X_30)) | 'LE'(f(X_30), 0)),
% 0.12/0.38 inference(subst, [], [clause_94 : [bind(B_60, $fot(X_30))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_27, plain, ('E'(s(0), f(X_3)) | 'LE'(f(X_3), s(0))),
% 0.12/0.38 inference(subst, [], [refute_0_2 : [bind(B_42, $fot(X_3))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_28, plain,
% 0.12/0.38 (~ 'LE'(f(X_3), s(0)) | 'E'(0, f(X_3)) | 'LE'(f(X_3), 0)),
% 0.12/0.38 inference(subst, [], [clause_94 : [bind(B_60, $fot(X_3))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_29, plain,
% 0.12/0.38 ('E'(0, f(X_3)) | 'E'(s(0), f(X_3)) | 'LE'(f(X_3), 0)),
% 0.12/0.38 inference(resolve, [$cnf('LE'(f(X_3), s(0)))],
% 0.12/0.38 [refute_0_27, refute_0_28])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_30, plain,
% 0.12/0.38 ('E'(0, f(X_29)) | 'E'(s(0), f(X_29)) | 'LE'(f(X_29), 0)),
% 0.12/0.38 inference(subst, [], [refute_0_29 : [bind(X_3, $fot(X_29))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_31, plain,
% 0.12/0.38 (~ 'E'(s(0), f(X_28)) | ~ iLEQ(suc(X_28), suc(X_28)) |
% 0.12/0.38 'LE'(f(X_28), s(0))),
% 0.12/0.38 inference(subst, [], [refute_0_11 : [bind(X_10, $fot(X_28))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_32, plain,
% 0.12/0.38 ('E'(0, f(X_11)) | 'E'(s(0), f(X_11)) | 'LE'(f(X_11), 0)),
% 0.12/0.38 inference(subst, [], [refute_0_29 : [bind(X_3, $fot(X_11))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_33, plain,
% 0.12/0.38 (~ 'E'(s(0), f(X_11)) | 'LE'(f(X_11), s(0)) |
% 0.12/0.38 iLEQ(suc(X_11), suc(X_11))),
% 0.12/0.38 inference(subst, [], [refute_0_15 : [bind(X_8, $fot(X_11))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_34, plain,
% 0.12/0.38 ('E'(0, f(X_11)) | 'LE'(f(X_11), 0) | 'LE'(f(X_11), s(0)) |
% 0.12/0.38 iLEQ(suc(X_11), suc(X_11))),
% 0.12/0.38 inference(resolve, [$cnf('E'(s(0), f(X_11)))],
% 0.12/0.38 [refute_0_32, refute_0_33])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_35, plain,
% 0.12/0.38 ('E'(0, f(X_28)) | 'LE'(f(X_28), 0) | 'LE'(f(X_28), s(0)) |
% 0.12/0.38 iLEQ(suc(X_28), suc(X_28))),
% 0.12/0.38 inference(subst, [], [refute_0_34 : [bind(X_11, $fot(X_28))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_36, plain,
% 0.12/0.38 (~ 'E'(s(0), f(X_28)) | 'E'(0, f(X_28)) | 'LE'(f(X_28), 0) |
% 0.12/0.38 'LE'(f(X_28), s(0))),
% 0.12/0.38 inference(resolve, [$cnf(iLEQ(suc(X_28), suc(X_28)))],
% 0.12/0.38 [refute_0_35, refute_0_31])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_37, plain,
% 0.12/0.38 (~ 'E'(s(0), f(X_29)) | 'E'(0, f(X_29)) | 'LE'(f(X_29), 0) |
% 0.12/0.38 'LE'(f(X_29), s(0))),
% 0.12/0.38 inference(subst, [], [refute_0_36 : [bind(X_28, $fot(X_29))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_38, plain,
% 0.12/0.38 ('E'(0, f(X_29)) | 'LE'(f(X_29), 0) | 'LE'(f(X_29), s(0))),
% 0.12/0.38 inference(resolve, [$cnf('E'(s(0), f(X_29)))],
% 0.12/0.38 [refute_0_30, refute_0_37])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_39, plain,
% 0.12/0.38 ('E'(0, f(X_30)) | 'LE'(f(X_30), 0) | 'LE'(f(X_30), s(0))),
% 0.12/0.38 inference(subst, [], [refute_0_38 : [bind(X_29, $fot(X_30))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_40, plain, ('E'(0, f(X_30)) | 'LE'(f(X_30), 0)),
% 0.12/0.38 inference(resolve, [$cnf('LE'(f(X_30), s(0)))],
% 0.12/0.38 [refute_0_39, refute_0_26])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_41, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 0.12/0.38 inference(subst, [], [refute_0_40 : [bind(X_30, $fot(z))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_42, plain, ('E'(0, f(z))),
% 0.12/0.38 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_41, clause_70])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_43, plain,
% 0.12/0.38 (~ 'E'(0, f(X_35)) | ~ 'E'(0, f(suc(X_35))) |
% 0.12/0.38 iLEQ(suc(X_35), suc(X_35))),
% 0.12/0.38 inference(subst, [], [clause_6 : [bind(A_2, $fot(X_35))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_44, plain, ('E'(0, f(suc(X_35))) | 'LE'(f(X_35), 0)),
% 0.12/0.38 inference(subst, [], [refute_0_23 : [bind(X_34, $fot(X_35))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_45, plain,
% 0.12/0.38 (~ 'E'(0, f(X_35)) | 'LE'(f(X_35), 0) | iLEQ(suc(X_35), suc(X_35))),
% 0.12/0.38 inference(resolve, [$cnf('E'(0, f(suc(X_35))))],
% 0.12/0.38 [refute_0_44, refute_0_43])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_46, plain,
% 0.12/0.38 (~ 'E'(0, f(z)) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.12/0.38 inference(subst, [], [refute_0_45 : [bind(X_35, $fot(z))]])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_47, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.12/0.38 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_42, refute_0_46])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_48, plain, (iLEQ(suc(z), suc(z))),
% 0.12/0.38 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_47, clause_70])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_49, plain, (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z))),
% 0.12/0.38 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.12/0.38 [refute_0_48, refute_0_25])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_50, plain, (~ 'E'(0, f(suc(z)))),
% 0.12/0.38 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_42, refute_0_49])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_51, plain, ('LE'(f(z), 0)),
% 0.12/0.38 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.12/0.38 [refute_0_24, refute_0_50])).
% 0.12/0.38
% 0.12/0.38 cnf(refute_0_52, plain, ($false),
% 0.12/0.38 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_51, clause_70])).
% 0.12/0.38 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38
%------------------------------------------------------------------------------