TSTP Solution File: SYO656-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO656-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.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 18:40:42 EDT 2022
% Result : Unsatisfiable 9.44s 9.67s
% Output : CNFRefutation 9.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO656-1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 9 00:56:51 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 9.44/9.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.44/9.67
% 9.44/9.67 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.44/9.68 cnf(clause_1185, axiom,
% 9.44/9.68 (~ iLEQ(suc(B_25), suc(B_26)) | ~ 'E'(0, f(suc(B_25))) |
% 9.44/9.68 ~ 'E'(0, f(suc(B_27))) | ~ iLEQ(suc(B_24), suc(B_25)) |
% 9.44/9.68 ~ 'E'(0, f(suc(A_1))) | ~ 'E'(0, f(A_1)) | ~ 'E'(0, f(suc(B_26))) |
% 9.44/9.68 ~ 'E'(0, f(B_28)) | ~ iLEQ(suc(A_1), suc(B_24)) |
% 9.44/9.68 ~ iLEQ(suc(B_26), suc(B_27)) | ~ 'E'(0, f(B_26)) |
% 9.44/9.68 ~ 'E'(0, f(suc(B_24))) | ~ 'E'(0, f(B_24)) | ~ 'E'(0, f(suc(B_28))) |
% 9.44/9.68 ~ 'E'(0, f(B_27)) | ~ 'E'(0, f(B_25)) | ~ iLEQ(suc(B_27), suc(B_28)) |
% 9.44/9.68 'E'(f(B_24), f(suc(B_24))) | 'E'(f(B_26), f(suc(B_26))) |
% 9.44/9.68 'E'(f(B_27), f(suc(B_27))) | 'E'(f(B_25), f(suc(B_25))) |
% 9.44/9.68 'E'(f(A_1), f(suc(A_1))) | 'E'(f(B_28), f(suc(B_28))))).
% 9.44/9.68
% 9.44/9.68 cnf(clause_181, axiom,
% 9.44/9.68 (~ 'E'(0, f(A_1)) | ~ 'E'(0, f(suc(A_1))) | 'E'(f(A_1), f(suc(A_1))) |
% 9.44/9.68 iLEQ(suc(A_1), suc(A_1)))).
% 9.44/9.68
% 9.44/9.68 cnf(clause_613, axiom, (~ 'LE'(f(z), 0))).
% 9.44/9.68
% 9.44/9.68 cnf(clause_73, axiom,
% 9.44/9.68 (~ 'LE'(f(suc(suc(B_23))), s(0)) | 'E'(0, f(suc(suc(B_23)))) |
% 9.44/9.68 'LE'(f(B_23), 0))).
% 9.44/9.68
% 9.44/9.68 cnf(clause_1201, axiom,
% 9.44/9.68 (~ 'E'(0, f(suc(suc(B_28)))) | ~ iLEQ(suc(B_25), suc(B_26)) |
% 9.44/9.68 ~ 'E'(0, f(suc(B_25))) | ~ 'E'(0, f(suc(B_27))) |
% 9.44/9.68 ~ iLEQ(suc(B_24), suc(B_25)) | ~ 'E'(f(B_24), f(suc(B_24))) |
% 9.44/9.68 ~ 'E'(0, f(suc(suc(B_24)))) | ~ 'E'(0, f(suc(A_1))) |
% 9.44/9.68 ~ 'E'(f(B_26), f(suc(B_26))) | ~ 'E'(0, f(suc(suc(A_1)))) |
% 9.44/9.68 ~ 'E'(0, f(suc(suc(B_25)))) | ~ 'E'(0, f(A_1)) |
% 9.44/9.68 ~ 'E'(0, f(suc(B_26))) | ~ 'E'(0, f(B_28)) |
% 9.44/9.68 ~ iLEQ(suc(A_1), suc(B_24)) | ~ 'E'(f(B_27), f(suc(B_27))) |
% 9.44/9.68 ~ iLEQ(suc(B_26), suc(B_27)) | ~ 'E'(f(B_25), f(suc(B_25))) |
% 9.44/9.68 ~ 'E'(0, f(suc(suc(B_27)))) | ~ 'E'(f(A_1), f(suc(A_1))) |
% 9.44/9.68 ~ 'E'(0, f(B_26)) | ~ 'E'(f(B_28), f(suc(B_28))) |
% 9.44/9.68 ~ 'E'(0, f(suc(B_24))) | ~ 'E'(0, f(B_24)) | ~ 'E'(0, f(suc(B_28))) |
% 9.44/9.68 ~ 'E'(0, f(B_27)) | ~ 'E'(0, f(suc(suc(B_26)))) | ~ 'E'(0, f(B_25)) |
% 9.44/9.68 ~ iLEQ(suc(B_27), suc(B_28)))).
% 9.44/9.68
% 9.44/9.68 cnf(clause_968, axiom,
% 9.44/9.68 (~ 'LE'(f(suc(B_23)), s(0)) | 'E'(0, f(suc(B_23))) |
% 9.44/9.68 'LE'(f(B_23), 0))).
% 9.44/9.68
% 9.44/9.68 cnf(clause_1005, axiom,
% 9.44/9.68 (~ 'LE'(f(B_23), s(0)) | 'E'(0, f(B_23)) | 'LE'(f(B_23), 0))).
% 9.44/9.68
% 9.44/9.68 cnf(clause_1153, axiom, ('LE'(f(A), s(0)))).
% 9.44/9.68
% 9.44/9.68 cnf(clause_854, axiom,
% 9.44/9.68 (~ 'E'(0, f(suc(suc(A_1)))) | ~ 'E'(0, f(suc(A_1))) |
% 9.44/9.68 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(0, f(A_1)) |
% 9.44/9.68 iLEQ(suc(A_1), suc(A_1)))).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_0, plain, ('LE'(f(suc(B_23)), s(0))),
% 9.44/9.68 inference(subst, [], [clause_1153 : [bind(A, $fot(suc(B_23)))]])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_1, plain, ('E'(0, f(suc(B_23))) | 'LE'(f(B_23), 0)),
% 9.44/9.68 inference(resolve, [$cnf('LE'(f(suc(B_23)), s(0)))],
% 9.44/9.68 [refute_0_0, clause_968])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_2, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 9.44/9.68 inference(subst, [], [refute_0_1 : [bind(B_23, $fot(z))]])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_3, plain, ('LE'(f(suc(suc(B_23))), s(0))),
% 9.44/9.68 inference(subst, [], [clause_1153 : [bind(A, $fot(suc(suc(B_23))))]])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_4, plain, ('E'(0, f(suc(suc(B_23)))) | 'LE'(f(B_23), 0)),
% 9.44/9.68 inference(resolve, [$cnf('LE'(f(suc(suc(B_23))), s(0)))],
% 9.44/9.68 [refute_0_3, clause_73])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_5, plain, ('E'(0, f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 9.44/9.68 inference(subst, [], [refute_0_4 : [bind(B_23, $fot(z))]])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_6, plain,
% 9.44/9.68 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z)) |
% 9.44/9.68 'E'(f(z), f(suc(z)))),
% 9.44/9.68 inference(subst, [],
% 9.44/9.68 [clause_1185 :
% 9.44/9.68 [bind(A_1, $fot(z)), bind(B_24, $fot(z)),
% 9.44/9.68 bind(B_25, $fot(z)), bind(B_26, $fot(z)),
% 9.44/9.68 bind(B_27, $fot(z)), bind(B_28, $fot(z))]])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_7, plain, ('LE'(f(B_23), s(0))),
% 9.44/9.68 inference(subst, [], [clause_1153 : [bind(A, $fot(B_23))]])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_8, plain, ('E'(0, f(B_23)) | 'LE'(f(B_23), 0)),
% 9.44/9.68 inference(resolve, [$cnf('LE'(f(B_23), s(0)))],
% 9.44/9.68 [refute_0_7, clause_1005])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_9, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 9.44/9.68 inference(subst, [], [refute_0_8 : [bind(B_23, $fot(z))]])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_10, plain, ('E'(0, f(z))),
% 9.44/9.68 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_9, clause_613])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_11, plain, ('E'(0, f(suc(X_4))) | 'LE'(f(X_4), 0)),
% 9.44/9.68 inference(subst, [], [refute_0_1 : [bind(B_23, $fot(X_4))]])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_12, plain,
% 9.44/9.68 (~ 'E'(0, f(X_4)) | ~ 'E'(0, f(suc(X_4))) | 'E'(f(X_4), f(suc(X_4))) |
% 9.44/9.68 iLEQ(suc(X_4), suc(X_4))),
% 9.44/9.68 inference(subst, [], [clause_181 : [bind(A_1, $fot(X_4))]])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_13, plain,
% 9.44/9.68 (~ 'E'(0, f(X_4)) | 'E'(f(X_4), f(suc(X_4))) | 'LE'(f(X_4), 0) |
% 9.44/9.68 iLEQ(suc(X_4), suc(X_4))),
% 9.44/9.68 inference(resolve, [$cnf('E'(0, f(suc(X_4))))],
% 9.44/9.68 [refute_0_11, refute_0_12])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_14, plain,
% 9.44/9.68 (~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) |
% 9.44/9.68 iLEQ(suc(z), suc(z))),
% 9.44/9.68 inference(subst, [], [refute_0_13 : [bind(X_4, $fot(z))]])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_15, plain,
% 9.44/9.68 ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 9.44/9.68 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_10, refute_0_14])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_16, plain, ('E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 9.44/9.68 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_15, clause_613])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_17, plain,
% 9.44/9.68 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 9.44/9.68 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 9.44/9.68 inference(subst, [], [clause_854 : [bind(A_1, $fot(z))]])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_18, plain,
% 9.44/9.68 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 9.44/9.68 iLEQ(suc(z), suc(z))),
% 9.44/9.68 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 9.44/9.68 [refute_0_16, refute_0_17])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_19, plain,
% 9.44/9.68 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 9.44/9.68 iLEQ(suc(z), suc(z))),
% 9.44/9.68 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_10, refute_0_18])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_20, plain,
% 9.44/9.68 (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 9.44/9.68 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 9.44/9.68 [refute_0_5, refute_0_19])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_21, plain, (~ 'E'(0, f(suc(z))) | iLEQ(suc(z), suc(z))),
% 9.44/9.68 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_20, clause_613])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_22, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 9.44/9.68 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 9.44/9.68 [refute_0_2, refute_0_21])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_23, plain, (iLEQ(suc(z), suc(z))),
% 9.44/9.68 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_22, clause_613])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_24, plain,
% 9.44/9.68 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z)))),
% 9.44/9.68 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 9.44/9.68 [refute_0_23, refute_0_6])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_25, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(z)))),
% 9.44/9.68 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_10, refute_0_24])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_26, plain, ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0)),
% 9.44/9.68 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 9.44/9.68 [refute_0_2, refute_0_25])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_27, plain, ('E'(f(z), f(suc(z)))),
% 9.44/9.68 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_26, clause_613])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_28, plain,
% 9.44/9.68 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 9.44/9.68 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 9.44/9.68 inference(subst, [],
% 9.44/9.68 [clause_1201 :
% 9.44/9.68 [bind(A_1, $fot(z)), bind(B_24, $fot(z)),
% 9.44/9.68 bind(B_25, $fot(z)), bind(B_26, $fot(z)),
% 9.44/9.68 bind(B_27, $fot(z)), bind(B_28, $fot(z))]])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_29, plain,
% 9.44/9.68 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 9.44/9.68 ~ iLEQ(suc(z), suc(z))),
% 9.44/9.68 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 9.44/9.68 [refute_0_27, refute_0_28])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_30, plain,
% 9.44/9.68 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 9.44/9.68 ~ iLEQ(suc(z), suc(z))),
% 9.44/9.68 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_10, refute_0_29])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_31, plain, (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z)))),
% 9.44/9.68 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 9.44/9.68 [refute_0_23, refute_0_30])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_32, plain, (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 9.44/9.68 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 9.44/9.68 [refute_0_5, refute_0_31])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_33, plain, (~ 'E'(0, f(suc(z)))),
% 9.44/9.68 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_32, clause_613])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_34, plain, ('LE'(f(z), 0)),
% 9.44/9.68 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 9.44/9.68 [refute_0_2, refute_0_33])).
% 9.44/9.68
% 9.44/9.68 cnf(refute_0_35, plain, ($false),
% 9.44/9.68 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_34, clause_613])).
% 9.44/9.68 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.44/9.68
%------------------------------------------------------------------------------