TSTP Solution File: SYO666-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO666-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 18:40:46 EDT 2022
% Result : Unsatisfiable 0.20s 0.41s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO666-1 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n019.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 : Sat Jul 9 12:56:53 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.41
% 0.20/0.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42 cnf(clause_102, axiom,
% 0.20/0.42 (~ iLEQ(suc(B_96), suc(B_97)) | ~ 'E'(0, f(suc(A_2))) |
% 0.20/0.42 ~ 'E'(0, f(suc(B_96))) | ~ iLEQ(suc(B_97), suc(B_98)) |
% 0.20/0.42 ~ 'E'(0, f(suc(B_97))) | ~ 'E'(0, f(A_2)) | ~ 'E'(0, f(suc(B_94))) |
% 0.20/0.42 ~ 'E'(0, f(B_97)) | ~ iLEQ(suc(B_95), suc(B_96)) | ~ 'E'(0, f(B_96)) |
% 0.20/0.42 ~ iLEQ(suc(B_94), suc(B_95)) | ~ 'E'(0, f(suc(B_98))) |
% 0.20/0.42 ~ 'E'(0, f(B_94)) | ~ iLEQ(suc(A_2), suc(B_94)) |
% 0.20/0.42 ~ 'E'(0, f(suc(B_95))) | ~ 'E'(0, f(B_98)) | ~ 'E'(0, f(B_95)))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_12, axiom,
% 0.20/0.42 (~ 'E'(0, f(A_2)) | ~ 'E'(0, f(suc(A_2))) | iLEQ(suc(A_2), suc(A_2)))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_98, axiom, (~ 'LE'(f(z), 0))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_123, axiom,
% 0.20/0.42 (~ 'LE'(f(suc(B_93)), s(0)) | 'E'(0, f(suc(B_93))) |
% 0.20/0.42 'LE'(f(B_93), 0))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_42, axiom,
% 0.20/0.42 (~ 'LE'(f(B_93), s(0)) | 'E'(0, f(B_93)) | 'LE'(f(B_93), 0))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_83, axiom, ('LE'(f(A), s(s(0))))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_70, axiom,
% 0.20/0.42 (~ 'E'(s(0), f(A_1)) | ~ 'E'(s(0), f(suc(A_1))) |
% 0.20/0.42 iLEQ(suc(A_1), suc(A_1)))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_29, axiom,
% 0.20/0.42 (~ 'LE'(f(suc(B_68)), s(s(0))) | 'E'(s(0), f(suc(B_68))) |
% 0.20/0.42 'LE'(f(B_68), s(0)))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_185, axiom,
% 0.20/0.42 (~ 'LE'(f(B_68), s(s(0))) | 'E'(s(0), f(B_68)) | 'LE'(f(B_68), s(0)))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_179, axiom,
% 0.20/0.42 (~ 'E'(s(0), f(B_69)) | ~ iLEQ(suc(B_71), suc(B_72)) |
% 0.20/0.42 ~ 'E'(s(0), f(A_1)) | ~ 'E'(s(0), f(suc(A_1))) |
% 0.20/0.42 ~ iLEQ(suc(B_70), suc(B_71)) | ~ 'E'(s(0), f(B_71)) |
% 0.20/0.42 ~ 'E'(s(0), f(suc(B_71))) | ~ iLEQ(suc(B_69), suc(B_70)) |
% 0.20/0.42 ~ 'E'(s(0), f(suc(B_69))) | ~ iLEQ(suc(B_72), suc(B_73)) |
% 0.20/0.42 ~ 'E'(s(0), f(suc(B_70))) | ~ 'E'(s(0), f(B_73)) |
% 0.20/0.42 ~ 'E'(s(0), f(suc(B_72))) | ~ iLEQ(suc(A_1), suc(B_69)) |
% 0.20/0.42 ~ 'E'(s(0), f(B_70)) | ~ 'E'(s(0), f(B_72)) |
% 0.20/0.42 ~ 'E'(s(0), f(suc(B_73))))).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_0, plain,
% 0.20/0.42 (~ 'LE'(f(suc(X_33)), s(0)) | 'E'(0, f(suc(X_33))) | 'LE'(f(X_33), 0)),
% 0.20/0.42 inference(subst, [], [clause_123 : [bind(B_93, $fot(X_33))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_1, plain, ('LE'(f(B_68), s(s(0)))),
% 0.20/0.42 inference(subst, [], [clause_83 : [bind(A, $fot(B_68))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_2, plain, ('E'(s(0), f(B_68)) | 'LE'(f(B_68), s(0))),
% 0.20/0.42 inference(resolve, [$cnf('LE'(f(B_68), s(s(0))))],
% 0.20/0.42 [refute_0_1, clause_185])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_3, plain, ('E'(s(0), f(suc(X_7))) | 'LE'(f(suc(X_7)), s(0))),
% 0.20/0.42 inference(subst, [], [refute_0_2 : [bind(B_68, $fot(suc(X_7)))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_4, plain,
% 0.20/0.42 (~ 'LE'(f(suc(X_7)), s(0)) | 'E'(0, f(suc(X_7))) | 'LE'(f(X_7), 0)),
% 0.20/0.42 inference(subst, [], [clause_123 : [bind(B_93, $fot(X_7))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_5, plain,
% 0.20/0.42 ('E'(0, f(suc(X_7))) | 'E'(s(0), f(suc(X_7))) | 'LE'(f(X_7), 0)),
% 0.20/0.42 inference(resolve, [$cnf('LE'(f(suc(X_7)), s(0)))],
% 0.20/0.42 [refute_0_3, refute_0_4])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_6, plain,
% 0.20/0.42 ('E'(0, f(suc(X_32))) | 'E'(s(0), f(suc(X_32))) | 'LE'(f(X_32), 0)),
% 0.20/0.42 inference(subst, [], [refute_0_5 : [bind(X_7, $fot(X_32))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_7, plain, ('LE'(f(suc(B_68)), s(s(0)))),
% 0.20/0.42 inference(subst, [], [clause_83 : [bind(A, $fot(suc(B_68)))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_8, plain, ('E'(s(0), f(suc(B_68))) | 'LE'(f(B_68), s(0))),
% 0.20/0.42 inference(resolve, [$cnf('LE'(f(suc(B_68)), s(s(0))))],
% 0.20/0.42 [refute_0_7, clause_29])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_9, plain, ('E'(s(0), f(suc(X_9))) | 'LE'(f(X_9), s(0))),
% 0.20/0.42 inference(subst, [], [refute_0_8 : [bind(B_68, $fot(X_9))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_10, plain,
% 0.20/0.42 (~ 'E'(s(0), f(X_9)) | ~ 'E'(s(0), f(suc(X_9))) |
% 0.20/0.42 ~ iLEQ(suc(X_9), suc(X_9))),
% 0.20/0.42 inference(subst, [],
% 0.20/0.42 [clause_179 :
% 0.20/0.42 [bind(A_1, $fot(X_9)), bind(B_69, $fot(X_9)),
% 0.20/0.42 bind(B_70, $fot(X_9)), bind(B_71, $fot(X_9)),
% 0.20/0.42 bind(B_72, $fot(X_9)), bind(B_73, $fot(X_9))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_11, plain,
% 0.20/0.42 (~ 'E'(s(0), f(X_9)) | ~ iLEQ(suc(X_9), suc(X_9)) |
% 0.20/0.42 'LE'(f(X_9), s(0))),
% 0.20/0.42 inference(resolve, [$cnf('E'(s(0), f(suc(X_9))))],
% 0.20/0.42 [refute_0_9, refute_0_10])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_12, plain,
% 0.20/0.42 (~ 'E'(s(0), f(suc(X_31))) | ~ iLEQ(suc(suc(X_31)), suc(suc(X_31))) |
% 0.20/0.42 'LE'(f(suc(X_31)), s(0))),
% 0.20/0.42 inference(subst, [], [refute_0_11 : [bind(X_9, $fot(suc(X_31)))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_13, plain, ('E'(s(0), f(suc(X_10))) | 'LE'(f(X_10), s(0))),
% 0.20/0.42 inference(subst, [], [refute_0_8 : [bind(B_68, $fot(X_10))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_14, plain,
% 0.20/0.42 (~ 'E'(s(0), f(X_10)) | ~ 'E'(s(0), f(suc(X_10))) |
% 0.20/0.42 iLEQ(suc(X_10), suc(X_10))),
% 0.20/0.42 inference(subst, [], [clause_70 : [bind(A_1, $fot(X_10))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_15, plain,
% 0.20/0.42 (~ 'E'(s(0), f(X_10)) | 'LE'(f(X_10), s(0)) |
% 0.20/0.42 iLEQ(suc(X_10), suc(X_10))),
% 0.20/0.42 inference(resolve, [$cnf('E'(s(0), f(suc(X_10))))],
% 0.20/0.42 [refute_0_13, refute_0_14])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_16, plain,
% 0.20/0.42 (~ 'E'(s(0), f(suc(X_7))) | 'LE'(f(suc(X_7)), s(0)) |
% 0.20/0.42 iLEQ(suc(suc(X_7)), suc(suc(X_7)))),
% 0.20/0.42 inference(subst, [], [refute_0_15 : [bind(X_10, $fot(suc(X_7)))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_17, plain,
% 0.20/0.42 ('E'(0, f(suc(X_7))) | 'LE'(f(X_7), 0) | 'LE'(f(suc(X_7)), s(0)) |
% 0.20/0.42 iLEQ(suc(suc(X_7)), suc(suc(X_7)))),
% 0.20/0.42 inference(resolve, [$cnf('E'(s(0), f(suc(X_7))))],
% 0.20/0.42 [refute_0_5, refute_0_16])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_18, plain,
% 0.20/0.42 ('E'(0, f(suc(X_31))) | 'LE'(f(X_31), 0) | 'LE'(f(suc(X_31)), s(0)) |
% 0.20/0.42 iLEQ(suc(suc(X_31)), suc(suc(X_31)))),
% 0.20/0.42 inference(subst, [], [refute_0_17 : [bind(X_7, $fot(X_31))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_19, plain,
% 0.20/0.42 (~ 'E'(s(0), f(suc(X_31))) | 'E'(0, f(suc(X_31))) | 'LE'(f(X_31), 0) |
% 0.20/0.42 'LE'(f(suc(X_31)), s(0))),
% 0.20/0.42 inference(resolve, [$cnf(iLEQ(suc(suc(X_31)), suc(suc(X_31))))],
% 0.20/0.42 [refute_0_18, refute_0_12])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_20, plain,
% 0.20/0.42 (~ 'E'(s(0), f(suc(X_32))) | 'E'(0, f(suc(X_32))) | 'LE'(f(X_32), 0) |
% 0.20/0.42 'LE'(f(suc(X_32)), s(0))),
% 0.20/0.42 inference(subst, [], [refute_0_19 : [bind(X_31, $fot(X_32))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_21, plain,
% 0.20/0.42 ('E'(0, f(suc(X_32))) | 'LE'(f(X_32), 0) | 'LE'(f(suc(X_32)), s(0))),
% 0.20/0.42 inference(resolve, [$cnf('E'(s(0), f(suc(X_32))))],
% 0.20/0.42 [refute_0_6, refute_0_20])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_22, plain,
% 0.20/0.42 ('E'(0, f(suc(X_33))) | 'LE'(f(X_33), 0) | 'LE'(f(suc(X_33)), s(0))),
% 0.20/0.42 inference(subst, [], [refute_0_21 : [bind(X_32, $fot(X_33))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_23, plain, ('E'(0, f(suc(X_33))) | 'LE'(f(X_33), 0)),
% 0.20/0.42 inference(resolve, [$cnf('LE'(f(suc(X_33)), s(0)))],
% 0.20/0.42 [refute_0_22, refute_0_0])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_24, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.20/0.42 inference(subst, [], [refute_0_23 : [bind(X_33, $fot(z))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_25, plain,
% 0.20/0.42 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z))),
% 0.20/0.42 inference(subst, [],
% 0.20/0.42 [clause_102 :
% 0.20/0.42 [bind(A_2, $fot(z)), bind(B_94, $fot(z)),
% 0.20/0.42 bind(B_95, $fot(z)), bind(B_96, $fot(z)),
% 0.20/0.42 bind(B_97, $fot(z)), bind(B_98, $fot(z))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_26, plain,
% 0.20/0.42 (~ 'LE'(f(X_25), s(0)) | 'E'(0, f(X_25)) | 'LE'(f(X_25), 0)),
% 0.20/0.42 inference(subst, [], [clause_42 : [bind(B_93, $fot(X_25))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_27, plain, ('E'(s(0), f(X_3)) | 'LE'(f(X_3), s(0))),
% 0.20/0.42 inference(subst, [], [refute_0_2 : [bind(B_68, $fot(X_3))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_28, plain,
% 0.20/0.42 (~ 'LE'(f(X_3), s(0)) | 'E'(0, f(X_3)) | 'LE'(f(X_3), 0)),
% 0.20/0.42 inference(subst, [], [clause_42 : [bind(B_93, $fot(X_3))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_29, plain,
% 0.20/0.42 ('E'(0, f(X_3)) | 'E'(s(0), f(X_3)) | 'LE'(f(X_3), 0)),
% 0.20/0.42 inference(resolve, [$cnf('LE'(f(X_3), s(0)))],
% 0.20/0.42 [refute_0_27, refute_0_28])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_30, plain,
% 0.20/0.42 ('E'(0, f(X_24)) | 'E'(s(0), f(X_24)) | 'LE'(f(X_24), 0)),
% 0.20/0.42 inference(subst, [], [refute_0_29 : [bind(X_3, $fot(X_24))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_31, plain,
% 0.20/0.42 (~ 'E'(s(0), f(X_23)) | ~ iLEQ(suc(X_23), suc(X_23)) |
% 0.20/0.42 'LE'(f(X_23), s(0))),
% 0.20/0.42 inference(subst, [], [refute_0_11 : [bind(X_9, $fot(X_23))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_32, plain,
% 0.20/0.42 ('E'(0, f(X_12)) | 'E'(s(0), f(X_12)) | 'LE'(f(X_12), 0)),
% 0.20/0.42 inference(subst, [], [refute_0_29 : [bind(X_3, $fot(X_12))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_33, plain,
% 0.20/0.42 (~ 'E'(s(0), f(X_12)) | 'LE'(f(X_12), s(0)) |
% 0.20/0.42 iLEQ(suc(X_12), suc(X_12))),
% 0.20/0.42 inference(subst, [], [refute_0_15 : [bind(X_10, $fot(X_12))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_34, plain,
% 0.20/0.42 ('E'(0, f(X_12)) | 'LE'(f(X_12), 0) | 'LE'(f(X_12), s(0)) |
% 0.20/0.42 iLEQ(suc(X_12), suc(X_12))),
% 0.20/0.42 inference(resolve, [$cnf('E'(s(0), f(X_12)))],
% 0.20/0.42 [refute_0_32, refute_0_33])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_35, plain,
% 0.20/0.42 ('E'(0, f(X_23)) | 'LE'(f(X_23), 0) | 'LE'(f(X_23), s(0)) |
% 0.20/0.42 iLEQ(suc(X_23), suc(X_23))),
% 0.20/0.42 inference(subst, [], [refute_0_34 : [bind(X_12, $fot(X_23))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_36, plain,
% 0.20/0.42 (~ 'E'(s(0), f(X_23)) | 'E'(0, f(X_23)) | 'LE'(f(X_23), 0) |
% 0.20/0.42 'LE'(f(X_23), s(0))),
% 0.20/0.42 inference(resolve, [$cnf(iLEQ(suc(X_23), suc(X_23)))],
% 0.20/0.42 [refute_0_35, refute_0_31])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_37, plain,
% 0.20/0.42 (~ 'E'(s(0), f(X_24)) | 'E'(0, f(X_24)) | 'LE'(f(X_24), 0) |
% 0.20/0.42 'LE'(f(X_24), s(0))),
% 0.20/0.42 inference(subst, [], [refute_0_36 : [bind(X_23, $fot(X_24))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_38, plain,
% 0.20/0.42 ('E'(0, f(X_24)) | 'LE'(f(X_24), 0) | 'LE'(f(X_24), s(0))),
% 0.20/0.42 inference(resolve, [$cnf('E'(s(0), f(X_24)))],
% 0.20/0.42 [refute_0_30, refute_0_37])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_39, plain,
% 0.20/0.42 ('E'(0, f(X_25)) | 'LE'(f(X_25), 0) | 'LE'(f(X_25), s(0))),
% 0.20/0.42 inference(subst, [], [refute_0_38 : [bind(X_24, $fot(X_25))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_40, plain, ('E'(0, f(X_25)) | 'LE'(f(X_25), 0)),
% 0.20/0.42 inference(resolve, [$cnf('LE'(f(X_25), s(0)))],
% 0.20/0.42 [refute_0_39, refute_0_26])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_41, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 0.20/0.42 inference(subst, [], [refute_0_40 : [bind(X_25, $fot(z))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_42, plain, ('E'(0, f(z))),
% 0.20/0.42 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_41, clause_98])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_43, plain,
% 0.20/0.42 (~ 'E'(0, f(X_34)) | ~ 'E'(0, f(suc(X_34))) |
% 0.20/0.42 iLEQ(suc(X_34), suc(X_34))),
% 0.20/0.42 inference(subst, [], [clause_12 : [bind(A_2, $fot(X_34))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_44, plain, ('E'(0, f(suc(X_34))) | 'LE'(f(X_34), 0)),
% 0.20/0.42 inference(subst, [], [refute_0_23 : [bind(X_33, $fot(X_34))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_45, plain,
% 0.20/0.42 (~ 'E'(0, f(X_34)) | 'LE'(f(X_34), 0) | iLEQ(suc(X_34), suc(X_34))),
% 0.20/0.42 inference(resolve, [$cnf('E'(0, f(suc(X_34))))],
% 0.20/0.42 [refute_0_44, refute_0_43])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_46, plain,
% 0.20/0.42 (~ 'E'(0, f(z)) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.20/0.42 inference(subst, [], [refute_0_45 : [bind(X_34, $fot(z))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_47, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.20/0.42 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_42, refute_0_46])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_48, plain, (iLEQ(suc(z), suc(z))),
% 0.20/0.42 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_47, clause_98])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_49, plain, (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z))),
% 0.20/0.42 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.20/0.42 [refute_0_48, refute_0_25])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_50, plain, (~ 'E'(0, f(suc(z)))),
% 0.20/0.42 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_42, refute_0_49])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_51, plain, ('LE'(f(z), 0)),
% 0.20/0.42 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.20/0.42 [refute_0_24, refute_0_50])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_52, plain, ($false),
% 0.20/0.42 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_51, clause_98])).
% 0.20/0.42 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42
%------------------------------------------------------------------------------