TSTP Solution File: SYO652-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO652-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 0.19s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO652-1 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 08:45:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.40
% 0.19/0.40 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.40 cnf(clause_16, axiom,
% 0.19/0.40 (~ 'E'(0, f(suc(B_11))) | ~ iLEQ(suc(B_12), suc(B_13)) |
% 0.19/0.40 ~ 'E'(0, f(suc(A_1))) | ~ 'E'(0, f(B_11)) | ~ 'E'(0, f(A_1)) |
% 0.19/0.40 ~ 'E'(0, f(B_13)) | ~ 'E'(0, f(suc(B_12))) |
% 0.19/0.40 ~ iLEQ(suc(A_1), suc(B_11)) | ~ 'E'(0, f(suc(B_13))) |
% 0.19/0.40 ~ 'E'(0, f(B_12)) | ~ iLEQ(suc(B_11), suc(B_12)) |
% 0.19/0.40 'E'(f(A_1), f(suc(A_1))) | 'E'(f(B_11), f(suc(B_11))) |
% 0.19/0.40 'E'(f(B_12), f(suc(B_12))) | 'E'(f(B_13), f(suc(B_13))))).
% 0.19/0.40
% 0.19/0.40 cnf(clause_149, axiom,
% 0.19/0.40 (~ 'E'(0, f(suc(suc(A_1)))) | ~ 'E'(0, f(suc(A_1))) |
% 0.19/0.40 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(0, f(A_1)) |
% 0.19/0.40 iLEQ(suc(A_1), suc(A_1)))).
% 0.19/0.40
% 0.19/0.40 cnf(clause_199, axiom, ('LE'(f(A), s(0)))).
% 0.19/0.40
% 0.19/0.40 cnf(clause_191, axiom,
% 0.19/0.40 (~ 'LE'(f(suc(B_10)), s(0)) | 'E'(0, f(suc(B_10))) |
% 0.19/0.40 'LE'(f(B_10), 0))).
% 0.19/0.40
% 0.19/0.40 cnf(clause_96, axiom,
% 0.19/0.40 (~ 'E'(0, f(suc(B_11))) | ~ iLEQ(suc(B_12), suc(B_13)) |
% 0.19/0.40 ~ 'E'(0, f(suc(suc(B_11)))) | ~ 'E'(0, f(suc(A_1))) |
% 0.19/0.40 ~ 'E'(0, f(suc(suc(A_1)))) | ~ 'E'(0, f(B_11)) | ~ 'E'(0, f(A_1)) |
% 0.19/0.40 ~ 'E'(0, f(B_13)) | ~ 'E'(0, f(suc(B_12))) |
% 0.19/0.40 ~ 'E'(f(B_12), f(suc(B_12))) | ~ 'E'(0, f(suc(suc(B_12)))) |
% 0.19/0.40 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(f(B_11), f(suc(B_11))) |
% 0.19/0.40 ~ iLEQ(suc(A_1), suc(B_11)) | ~ 'E'(0, f(suc(B_13))) |
% 0.19/0.40 ~ 'E'(0, f(B_12)) | ~ 'E'(0, f(suc(suc(B_13)))) |
% 0.19/0.40 ~ 'E'(f(B_13), f(suc(B_13))) | ~ iLEQ(suc(B_11), suc(B_12)))).
% 0.19/0.40
% 0.19/0.40 cnf(clause_17, axiom,
% 0.19/0.40 (~ 'LE'(f(B_10), s(0)) | 'E'(0, f(B_10)) | 'LE'(f(B_10), 0))).
% 0.19/0.40
% 0.19/0.40 cnf(clause_3, axiom,
% 0.19/0.40 (~ 'LE'(f(suc(suc(B_10))), s(0)) | 'E'(0, f(suc(suc(B_10)))) |
% 0.19/0.40 'LE'(f(B_10), 0))).
% 0.19/0.40
% 0.19/0.40 cnf(clause_99, axiom, (~ 'LE'(f(z), 0))).
% 0.19/0.40
% 0.19/0.40 cnf(clause_44, axiom,
% 0.19/0.40 (~ 'E'(0, f(A_1)) | ~ 'E'(0, f(suc(A_1))) | 'E'(f(A_1), f(suc(A_1))) |
% 0.19/0.40 iLEQ(suc(A_1), suc(A_1)))).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_0, plain, ('LE'(f(suc(B_10)), s(0))),
% 0.19/0.40 inference(subst, [], [clause_199 : [bind(A, $fot(suc(B_10)))]])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_1, plain, ('E'(0, f(suc(B_10))) | 'LE'(f(B_10), 0)),
% 0.19/0.40 inference(resolve, [$cnf('LE'(f(suc(B_10)), s(0)))],
% 0.19/0.40 [refute_0_0, clause_191])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_2, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.19/0.40 inference(subst, [], [refute_0_1 : [bind(B_10, $fot(z))]])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_3, plain, ('LE'(f(suc(suc(B_10))), s(0))),
% 0.19/0.40 inference(subst, [], [clause_199 : [bind(A, $fot(suc(suc(B_10))))]])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_4, plain, ('E'(0, f(suc(suc(B_10)))) | 'LE'(f(B_10), 0)),
% 0.19/0.40 inference(resolve, [$cnf('LE'(f(suc(suc(B_10))), s(0)))],
% 0.19/0.40 [refute_0_3, clause_3])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_5, plain, ('E'(0, f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 0.19/0.40 inference(subst, [], [refute_0_4 : [bind(B_10, $fot(z))]])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_6, plain,
% 0.19/0.40 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z)) |
% 0.19/0.40 'E'(f(z), f(suc(z)))),
% 0.19/0.40 inference(subst, [],
% 0.19/0.40 [clause_16 :
% 0.19/0.40 [bind(A_1, $fot(z)), bind(B_11, $fot(z)),
% 0.19/0.40 bind(B_12, $fot(z)), bind(B_13, $fot(z))]])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_7, plain, ('LE'(f(B_10), s(0))),
% 0.19/0.40 inference(subst, [], [clause_199 : [bind(A, $fot(B_10))]])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_8, plain, ('E'(0, f(B_10)) | 'LE'(f(B_10), 0)),
% 0.19/0.40 inference(resolve, [$cnf('LE'(f(B_10), s(0)))],
% 0.19/0.40 [refute_0_7, clause_17])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_9, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 0.19/0.40 inference(subst, [], [refute_0_8 : [bind(B_10, $fot(z))]])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_10, plain, ('E'(0, f(z))),
% 0.19/0.40 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_9, clause_99])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_11, plain, ('E'(0, f(suc(X_4))) | 'LE'(f(X_4), 0)),
% 0.19/0.40 inference(subst, [], [refute_0_1 : [bind(B_10, $fot(X_4))]])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_12, plain,
% 0.19/0.40 (~ 'E'(0, f(X_4)) | ~ 'E'(0, f(suc(X_4))) | 'E'(f(X_4), f(suc(X_4))) |
% 0.19/0.40 iLEQ(suc(X_4), suc(X_4))),
% 0.19/0.40 inference(subst, [], [clause_44 : [bind(A_1, $fot(X_4))]])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_13, plain,
% 0.19/0.40 (~ 'E'(0, f(X_4)) | 'E'(f(X_4), f(suc(X_4))) | 'LE'(f(X_4), 0) |
% 0.19/0.40 iLEQ(suc(X_4), suc(X_4))),
% 0.19/0.40 inference(resolve, [$cnf('E'(0, f(suc(X_4))))],
% 0.19/0.40 [refute_0_11, refute_0_12])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_14, plain,
% 0.19/0.40 (~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) |
% 0.19/0.40 iLEQ(suc(z), suc(z))),
% 0.19/0.40 inference(subst, [], [refute_0_13 : [bind(X_4, $fot(z))]])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_15, plain,
% 0.19/0.40 ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.19/0.40 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_10, refute_0_14])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_16, plain, ('E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.19/0.40 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_15, clause_99])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_17, plain,
% 0.19/0.40 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.19/0.40 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.19/0.40 inference(subst, [], [clause_149 : [bind(A_1, $fot(z))]])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_18, plain,
% 0.19/0.40 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.19/0.40 iLEQ(suc(z), suc(z))),
% 0.19/0.40 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.19/0.40 [refute_0_16, refute_0_17])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_19, plain,
% 0.19/0.40 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.19/0.40 iLEQ(suc(z), suc(z))),
% 0.19/0.40 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_10, refute_0_18])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_20, plain,
% 0.19/0.40 (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.19/0.40 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.19/0.40 [refute_0_5, refute_0_19])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_21, plain, (~ 'E'(0, f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.19/0.40 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_20, clause_99])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_22, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.19/0.40 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.19/0.40 [refute_0_2, refute_0_21])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_23, plain, (iLEQ(suc(z), suc(z))),
% 0.19/0.40 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_22, clause_99])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_24, plain,
% 0.19/0.40 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z)))),
% 0.19/0.40 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.19/0.40 [refute_0_23, refute_0_6])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_25, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(z)))),
% 0.19/0.40 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_10, refute_0_24])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_26, plain, ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0)),
% 0.19/0.40 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.19/0.40 [refute_0_2, refute_0_25])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_27, plain, ('E'(f(z), f(suc(z)))),
% 0.19/0.40 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_26, clause_99])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_28, plain,
% 0.19/0.40 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.19/0.40 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 0.19/0.40 inference(subst, [],
% 0.19/0.40 [clause_96 :
% 0.19/0.40 [bind(A_1, $fot(z)), bind(B_11, $fot(z)),
% 0.19/0.40 bind(B_12, $fot(z)), bind(B_13, $fot(z))]])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_29, plain,
% 0.19/0.40 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.19/0.40 ~ iLEQ(suc(z), suc(z))),
% 0.19/0.40 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.19/0.40 [refute_0_27, refute_0_28])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_30, plain,
% 0.19/0.40 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.19/0.40 ~ iLEQ(suc(z), suc(z))),
% 0.19/0.40 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_10, refute_0_29])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_31, plain, (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z)))),
% 0.19/0.40 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.19/0.40 [refute_0_23, refute_0_30])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_32, plain, (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.19/0.40 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.19/0.40 [refute_0_5, refute_0_31])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_33, plain, (~ 'E'(0, f(suc(z)))),
% 0.19/0.40 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_32, clause_99])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_34, plain, ('LE'(f(z), 0)),
% 0.19/0.40 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.19/0.40 [refute_0_2, refute_0_33])).
% 0.19/0.40
% 0.19/0.40 cnf(refute_0_35, plain, ($false),
% 0.19/0.40 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_34, clause_99])).
% 0.19/0.40 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.40
%------------------------------------------------------------------------------