%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO653-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 18:40:41 EDT 2022
% Result : Unsatisfiable 0.72s 0.89s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO653-1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n004.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 11:40:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.72/0.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.89
% 0.72/0.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.89 cnf(clause_102, axiom,
% 0.72/0.89 (~ 'E'(0, f(suc(B_11))) | ~ iLEQ(suc(B_12), suc(B_13)) |
% 0.72/0.89 ~ 'E'(0, f(suc(A_1))) | ~ 'E'(0, f(B_11)) | ~ 'E'(0, f(A_1)) |
% 0.72/0.89 ~ 'E'(0, f(B_13)) | ~ 'E'(0, f(suc(B_12))) |
% 0.72/0.89 ~ iLEQ(suc(A_1), suc(B_11)) | ~ 'E'(0, f(suc(B_13))) |
% 0.72/0.89 ~ 'E'(0, f(B_12)) | ~ iLEQ(suc(B_11), suc(B_12)) |
% 0.72/0.89 'E'(f(A_1), f(suc(A_1))) | 'E'(f(B_11), f(suc(B_11))) |
% 0.72/0.89 'E'(f(B_12), f(suc(B_12))) | 'E'(f(B_13), f(suc(B_13))))).
% 0.72/0.89
% 0.72/0.89 cnf(clause_1719, axiom,
% 0.72/0.89 (~ 'E'(0, f(suc(suc(A_1)))) | ~ 'E'(0, f(suc(A_1))) |
% 0.72/0.89 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(0, f(A_1)) |
% 0.72/0.89 'E'(f(A_1), f(suc(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))).
% 0.72/0.89
% 0.72/0.89 cnf(clause_1057, axiom, (~ 'LE'(f(z), 0))).
% 0.72/0.89
% 0.72/0.89 cnf(clause_2036, axiom, ('LE'(f(A), s(0)))).
% 0.72/0.89
% 0.72/0.89 cnf(clause_1983, axiom,
% 0.72/0.89 (~ 'LE'(f(suc(B_10)), s(0)) | 'E'(0, f(suc(B_10))) |
% 0.72/0.89 'LE'(f(B_10), 0))).
% 0.72/0.89
% 0.72/0.89 cnf(clause_148, axiom,
% 0.72/0.89 (~ 'LE'(f(B_10), s(0)) | 'E'(0, f(B_10)) | 'LE'(f(B_10), 0))).
% 0.72/0.89
% 0.72/0.89 cnf(clause_1836, axiom,
% 0.72/0.89 (~ 'E'(0, f(suc(suc(suc(A_1))))) | ~ 'E'(0, f(suc(B_11))) |
% 0.72/0.89 ~ 'E'(0, f(suc(suc(suc(B_11))))) | ~ iLEQ(suc(B_12), suc(B_13)) |
% 0.72/0.89 ~ 'E'(0, f(suc(suc(B_11)))) | ~ 'E'(0, f(suc(A_1))) |
% 0.72/0.89 ~ 'E'(0, f(suc(suc(A_1)))) | ~ 'E'(0, f(B_11)) | ~ 'E'(0, f(A_1)) |
% 0.72/0.89 ~ 'E'(0, f(B_13)) | ~ 'E'(f(B_11), f(suc(suc(B_11)))) |
% 0.72/0.89 ~ 'E'(0, f(suc(B_12))) | ~ 'E'(f(B_13), f(suc(suc(B_13)))) |
% 0.72/0.89 ~ 'E'(f(B_12), f(suc(suc(B_12)))) | ~ 'E'(f(A_1), f(suc(suc(A_1)))) |
% 0.72/0.89 ~ 'E'(f(B_12), f(suc(B_12))) | ~ 'E'(0, f(suc(suc(B_12)))) |
% 0.72/0.89 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(f(B_11), f(suc(B_11))) |
% 0.72/0.89 ~ iLEQ(suc(A_1), suc(B_11)) | ~ 'E'(0, f(suc(B_13))) |
% 0.72/0.89 ~ 'E'(0, f(B_12)) | ~ 'E'(0, f(suc(suc(suc(B_13))))) |
% 0.72/0.89 ~ 'E'(0, f(suc(suc(B_13)))) | ~ 'E'(f(B_13), f(suc(B_13))) |
% 0.72/0.89 ~ 'E'(0, f(suc(suc(suc(B_12))))) | ~ iLEQ(suc(B_11), suc(B_12)))).
% 0.72/0.89
% 0.72/0.89 cnf(clause_1528, axiom,
% 0.72/0.89 (~ 'LE'(f(suc(suc(suc(B_10)))), s(0)) |
% 0.72/0.89 'E'(0, f(suc(suc(suc(B_10))))) | 'LE'(f(B_10), 0))).
% 0.72/0.89
% 0.72/0.89 cnf(clause_1384, axiom,
% 0.72/0.89 (~ 'E'(0, f(suc(B_11))) | ~ iLEQ(suc(B_12), suc(B_13)) |
% 0.72/0.89 ~ 'E'(0, f(suc(suc(B_11)))) | ~ 'E'(0, f(suc(A_1))) |
% 0.72/0.89 ~ 'E'(0, f(suc(suc(A_1)))) | ~ 'E'(0, f(B_11)) | ~ 'E'(0, f(A_1)) |
% 0.72/0.89 ~ 'E'(0, f(B_13)) | ~ 'E'(0, f(suc(B_12))) |
% 0.72/0.89 ~ 'E'(f(B_12), f(suc(B_12))) | ~ 'E'(0, f(suc(suc(B_12)))) |
% 0.72/0.89 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(f(B_11), f(suc(B_11))) |
% 0.72/0.89 ~ iLEQ(suc(A_1), suc(B_11)) | ~ 'E'(0, f(suc(B_13))) |
% 0.72/0.89 ~ 'E'(0, f(B_12)) | ~ 'E'(0, f(suc(suc(B_13)))) |
% 0.72/0.89 ~ 'E'(f(B_13), f(suc(B_13))) | ~ iLEQ(suc(B_11), suc(B_12)) |
% 0.72/0.89 'E'(f(A_1), f(suc(suc(A_1)))) | 'E'(f(B_11), f(suc(suc(B_11)))) |
% 0.72/0.89 'E'(f(B_12), f(suc(suc(B_12)))) | 'E'(f(B_13), f(suc(suc(B_13)))))).
% 0.72/0.89
% 0.72/0.89 cnf(clause_38, axiom,
% 0.72/0.89 (~ 'LE'(f(suc(suc(B_10))), s(0)) | 'E'(0, f(suc(suc(B_10)))) |
% 0.72/0.89 'LE'(f(B_10), 0))).
% 0.72/0.89
% 0.72/0.89 cnf(clause_972, axiom,
% 0.72/0.89 (~ 'E'(0, f(suc(suc(suc(A_1))))) | ~ 'E'(0, f(suc(A_1))) |
% 0.72/0.89 ~ 'E'(0, f(suc(suc(A_1)))) | ~ 'E'(0, f(A_1)) |
% 0.72/0.89 ~ 'E'(f(A_1), f(suc(suc(A_1)))) | ~ 'E'(f(A_1), f(suc(A_1))) |
% 0.72/0.89 iLEQ(suc(A_1), suc(A_1)))).
% 0.72/0.89
% 0.72/0.89 cnf(clause_354, axiom,
% 0.72/0.89 (~ 'E'(0, f(A_1)) | ~ 'E'(0, f(suc(A_1))) | 'E'(f(A_1), f(suc(A_1))) |
% 0.72/0.89 iLEQ(suc(A_1), suc(A_1)))).
% 0.72/0.89
% 0.72/0.89 cnf(refute_0_0, plain, ('LE'(f(suc(B_10)), s(0))),
% 0.72/0.89 inference(subst, [], [clause_2036 : [bind(A, $fot(suc(B_10)))]])).
% 0.72/0.89
% 0.72/0.89 cnf(refute_0_1, plain, ('E'(0, f(suc(B_10))) | 'LE'(f(B_10), 0)),
% 0.72/0.89 inference(resolve, [$cnf('LE'(f(suc(B_10)), s(0)))],
% 0.72/0.89 [refute_0_0, clause_1983])).
% 0.72/0.89
% 0.72/0.89 cnf(refute_0_2, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.72/0.89 inference(subst, [], [refute_0_1 : [bind(B_10, $fot(z))]])).
% 0.72/0.89
% 0.72/0.89 cnf(refute_0_3, plain, ('LE'(f(suc(suc(B_10))), s(0))),
% 0.72/0.89 inference(subst, [], [clause_2036 : [bind(A, $fot(suc(suc(B_10))))]])).
% 0.72/0.89
% 0.72/0.89 cnf(refute_0_4, plain, ('E'(0, f(suc(suc(B_10)))) | 'LE'(f(B_10), 0)),
% 0.72/0.89 inference(resolve, [$cnf('LE'(f(suc(suc(B_10))), s(0)))],
% 0.72/0.89 [refute_0_3, clause_38])).
% 0.72/0.89
% 0.72/0.89 cnf(refute_0_5, plain, ('E'(0, f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 0.72/0.89 inference(subst, [], [refute_0_4 : [bind(B_10, $fot(z))]])).
% 0.72/0.89
% 0.72/0.89 cnf(refute_0_6, plain, ('LE'(f(suc(suc(suc(B_10)))), s(0))),
% 0.72/0.89 inference(subst, [],
% 0.72/0.89 [clause_2036 : [bind(A, $fot(suc(suc(suc(B_10)))))]])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_7, plain, ('E'(0, f(suc(suc(suc(B_10))))) | 'LE'(f(B_10), 0)),
% 0.72/0.90 inference(resolve, [$cnf('LE'(f(suc(suc(suc(B_10)))), s(0)))],
% 0.72/0.90 [refute_0_6, clause_1528])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_8, plain, ('E'(0, f(suc(suc(suc(z))))) | 'LE'(f(z), 0)),
% 0.72/0.90 inference(subst, [], [refute_0_7 : [bind(B_10, $fot(z))]])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_9, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.72/0.90 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z)) |
% 0.72/0.90 'E'(f(z), f(suc(suc(z))))),
% 0.72/0.90 inference(subst, [],
% 0.72/0.90 [clause_1384 :
% 0.72/0.90 [bind(A_1, $fot(z)), bind(B_11, $fot(z)),
% 0.72/0.90 bind(B_12, $fot(z)), bind(B_13, $fot(z))]])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_10, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z)) |
% 0.72/0.90 'E'(f(z), f(suc(z)))),
% 0.72/0.90 inference(subst, [],
% 0.72/0.90 [clause_102 :
% 0.72/0.90 [bind(A_1, $fot(z)), bind(B_11, $fot(z)),
% 0.72/0.90 bind(B_12, $fot(z)), bind(B_13, $fot(z))]])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_11, plain, ('LE'(f(B_10), s(0))),
% 0.72/0.90 inference(subst, [], [clause_2036 : [bind(A, $fot(B_10))]])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_12, plain, ('E'(0, f(B_10)) | 'LE'(f(B_10), 0)),
% 0.72/0.90 inference(resolve, [$cnf('LE'(f(B_10), s(0)))],
% 0.72/0.90 [refute_0_11, clause_148])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_13, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 0.72/0.90 inference(subst, [], [refute_0_12 : [bind(B_10, $fot(z))]])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_14, plain, ('E'(0, f(z))),
% 0.72/0.90 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_13, clause_1057])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_15, plain, ('E'(0, f(suc(X_6))) | 'LE'(f(X_6), 0)),
% 0.72/0.90 inference(subst, [], [refute_0_1 : [bind(B_10, $fot(X_6))]])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_16, plain,
% 0.72/0.90 (~ 'E'(0, f(X_6)) | ~ 'E'(0, f(suc(X_6))) | 'E'(f(X_6), f(suc(X_6))) |
% 0.72/0.90 iLEQ(suc(X_6), suc(X_6))),
% 0.72/0.90 inference(subst, [], [clause_354 : [bind(A_1, $fot(X_6))]])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_17, plain,
% 0.72/0.90 (~ 'E'(0, f(X_6)) | 'E'(f(X_6), f(suc(X_6))) | 'LE'(f(X_6), 0) |
% 0.72/0.90 iLEQ(suc(X_6), suc(X_6))),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(suc(X_6))))],
% 0.72/0.90 [refute_0_15, refute_0_16])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_18, plain,
% 0.72/0.90 (~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) |
% 0.72/0.90 iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(subst, [], [refute_0_17 : [bind(X_6, $fot(z))]])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_19, plain,
% 0.72/0.90 ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_14, refute_0_18])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_20, plain, ('E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_19, clause_1057])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_21, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.72/0.90 ~ 'E'(f(z), f(suc(z))) | 'E'(f(z), f(suc(suc(z)))) |
% 0.72/0.90 iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(subst, [], [clause_1719 : [bind(A_1, $fot(z))]])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_22, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.72/0.90 'E'(f(z), f(suc(suc(z)))) | iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.72/0.90 [refute_0_20, refute_0_21])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_23, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.72/0.90 'E'(f(z), f(suc(suc(z)))) | iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_14, refute_0_22])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_24, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(suc(z)))) | 'LE'(f(z), 0) |
% 0.72/0.90 iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.72/0.90 [refute_0_5, refute_0_23])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_25, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(suc(z)))) |
% 0.72/0.90 iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_24, clause_1057])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_26, plain,
% 0.72/0.90 ('E'(f(z), f(suc(suc(z)))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.72/0.90 [refute_0_2, refute_0_25])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_27, plain, ('E'(f(z), f(suc(suc(z)))) | iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_26, clause_1057])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_28, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.72/0.90 ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ 'E'(f(z), f(suc(suc(z)))) |
% 0.72/0.90 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(subst, [], [clause_972 : [bind(A_1, $fot(z))]])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_29, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.72/0.90 ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ 'E'(f(z), f(suc(z))) |
% 0.72/0.90 iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('E'(f(z), f(suc(suc(z)))))],
% 0.72/0.90 [refute_0_27, refute_0_28])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_30, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.72/0.90 ~ 'E'(0, f(suc(z))) | ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_14, refute_0_29])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_31, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.72/0.90 ~ 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(suc(suc(suc(z))))))],
% 0.72/0.90 [refute_0_8, refute_0_30])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_32, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.72/0.90 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_31, clause_1057])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_33, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.72/0.90 iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.72/0.90 [refute_0_20, refute_0_32])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_34, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.72/0.90 [refute_0_5, refute_0_33])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_35, plain, (~ 'E'(0, f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_34, clause_1057])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_36, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.72/0.90 [refute_0_2, refute_0_35])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_37, plain, (iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_36, clause_1057])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_38, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z)))),
% 0.72/0.90 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.72/0.90 [refute_0_37, refute_0_10])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_39, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(z)))),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_14, refute_0_38])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_40, plain, ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0)),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.72/0.90 [refute_0_2, refute_0_39])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_41, plain, ('E'(f(z), f(suc(z)))),
% 0.72/0.90 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_40, clause_1057])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_42, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.72/0.90 ~ iLEQ(suc(z), suc(z)) | 'E'(f(z), f(suc(suc(z))))),
% 0.72/0.90 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.72/0.90 [refute_0_41, refute_0_9])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_43, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.72/0.90 ~ iLEQ(suc(z), suc(z)) | 'E'(f(z), f(suc(suc(z))))),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_14, refute_0_42])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_44, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.72/0.90 'E'(f(z), f(suc(suc(z))))),
% 0.72/0.90 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.72/0.90 [refute_0_37, refute_0_43])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_45, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.72/0.90 [refute_0_5, refute_0_44])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_46, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(suc(z))))),
% 0.72/0.90 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_45, clause_1057])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_47, plain, ('E'(f(z), f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.72/0.90 [refute_0_2, refute_0_46])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_48, plain, ('E'(f(z), f(suc(suc(z))))),
% 0.72/0.90 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_47, clause_1057])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_49, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.72/0.90 ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ 'E'(f(z), f(suc(suc(z)))) |
% 0.72/0.90 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(subst, [],
% 0.72/0.90 [clause_1836 :
% 0.72/0.90 [bind(A_1, $fot(z)), bind(B_11, $fot(z)),
% 0.72/0.90 bind(B_12, $fot(z)), bind(B_13, $fot(z))]])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_50, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.72/0.90 ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ 'E'(f(z), f(suc(z))) |
% 0.72/0.90 ~ iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('E'(f(z), f(suc(suc(z)))))],
% 0.72/0.90 [refute_0_48, refute_0_49])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_51, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.72/0.90 ~ 'E'(0, f(suc(z))) | ~ 'E'(f(z), f(suc(z))) |
% 0.72/0.90 ~ iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_14, refute_0_50])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_52, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.72/0.90 ~ 'E'(0, f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 0.72/0.90 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.72/0.90 [refute_0_41, refute_0_51])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_53, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.72/0.90 ~ 'E'(0, f(suc(z)))),
% 0.72/0.90 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.72/0.90 [refute_0_37, refute_0_52])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_54, plain,
% 0.72/0.90 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(suc(suc(suc(z))))))],
% 0.72/0.90 [refute_0_8, refute_0_53])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_55, plain, (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z)))),
% 0.72/0.90 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_54, clause_1057])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_56, plain, (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.72/0.90 [refute_0_5, refute_0_55])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_57, plain, (~ 'E'(0, f(suc(z)))),
% 0.72/0.90 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_56, clause_1057])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_58, plain, ('LE'(f(z), 0)),
% 0.72/0.90 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.72/0.90 [refute_0_2, refute_0_57])).
% 0.72/0.90
% 0.72/0.90 cnf(refute_0_59, plain, ($false),
% 0.72/0.90 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_58, clause_1057])).
% 0.72/0.90 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.90
%------------------------------------------------------------------------------