TSTP Solution File: SYO655-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO655-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 0.62s 0.82s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO655-1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 9 09:14:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.62/0.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.82
% 0.62/0.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.82 cnf(clause_5, axiom,
% 0.62/0.82 (~ 'LE'(f(suc(B_16)), s(0)) | 'E'(0, f(suc(B_16))) |
% 0.62/0.82 'LE'(f(B_16), 0))).
% 0.62/0.82
% 0.62/0.82 cnf(clause_269, axiom, (~ 'LE'(f(z), 0))).
% 0.62/0.82
% 0.62/0.82 cnf(clause_125, axiom,
% 0.62/0.82 (~ 'E'(0, f(suc(suc(B_18)))) | ~ 'E'(0, f(suc(B_19))) |
% 0.62/0.82 ~ iLEQ(suc(B_18), suc(B_19)) | ~ 'E'(0, f(suc(A_1))) |
% 0.62/0.82 ~ 'E'(0, f(suc(suc(A_1)))) | ~ 'E'(0, f(suc(B_17))) |
% 0.62/0.82 ~ iLEQ(suc(B_17), suc(B_18)) | ~ 'E'(0, f(B_19)) |
% 0.62/0.82 ~ 'E'(0, f(suc(suc(B_19)))) | ~ 'E'(0, f(suc(suc(B_20)))) |
% 0.62/0.82 ~ 'E'(0, f(A_1)) | ~ 'E'(f(B_18), f(suc(B_18))) |
% 0.62/0.82 ~ 'E'(0, f(suc(suc(B_17)))) | ~ iLEQ(suc(B_19), suc(B_20)) |
% 0.62/0.82 ~ 'E'(0, f(B_18)) | ~ 'E'(0, f(B_17)) | ~ 'E'(0, f(suc(B_18))) |
% 0.62/0.82 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(f(B_19), f(suc(B_19))) |
% 0.62/0.82 ~ 'E'(f(B_20), f(suc(B_20))) | ~ 'E'(0, f(B_20)) |
% 0.62/0.82 ~ 'E'(0, f(suc(B_20))) | ~ 'E'(f(B_17), f(suc(B_17))) |
% 0.62/0.82 ~ iLEQ(suc(A_1), suc(B_17)))).
% 0.62/0.82
% 0.62/0.82 cnf(clause_209, axiom,
% 0.62/0.82 (~ 'E'(0, f(suc(B_19))) | ~ iLEQ(suc(B_18), suc(B_19)) |
% 0.62/0.82 ~ 'E'(0, f(suc(A_1))) | ~ 'E'(0, f(suc(B_17))) |
% 0.62/0.82 ~ iLEQ(suc(B_17), suc(B_18)) | ~ 'E'(0, f(B_19)) | ~ 'E'(0, f(A_1)) |
% 0.62/0.82 ~ iLEQ(suc(B_19), suc(B_20)) | ~ 'E'(0, f(B_18)) | ~ 'E'(0, f(B_17)) |
% 0.62/0.82 ~ 'E'(0, f(suc(B_18))) | ~ 'E'(0, f(B_20)) | ~ 'E'(0, f(suc(B_20))) |
% 0.62/0.82 ~ iLEQ(suc(A_1), suc(B_17)) | 'E'(f(B_18), f(suc(B_18))) |
% 0.62/0.82 'E'(f(A_1), f(suc(A_1))) | 'E'(f(B_19), f(suc(B_19))) |
% 0.62/0.82 'E'(f(B_20), f(suc(B_20))) | 'E'(f(B_17), f(suc(B_17))))).
% 0.62/0.82
% 0.62/0.82 cnf(clause_379, axiom,
% 0.62/0.82 (~ 'E'(0, f(suc(suc(A_1)))) | ~ 'E'(0, f(suc(A_1))) |
% 0.62/0.82 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(0, f(A_1)) |
% 0.62/0.82 iLEQ(suc(A_1), suc(A_1)))).
% 0.62/0.82
% 0.62/0.82 cnf(clause_84, axiom,
% 0.62/0.82 (~ 'E'(0, f(A_1)) | ~ 'E'(0, f(suc(A_1))) | 'E'(f(A_1), f(suc(A_1))) |
% 0.62/0.82 iLEQ(suc(A_1), suc(A_1)))).
% 0.62/0.82
% 0.62/0.82 cnf(clause_72, axiom,
% 0.62/0.82 (~ 'LE'(f(suc(suc(B_16))), s(0)) | 'E'(0, f(suc(suc(B_16)))) |
% 0.62/0.82 'LE'(f(B_16), 0))).
% 0.62/0.82
% 0.62/0.82 cnf(clause_497, axiom, ('LE'(f(A), s(0)))).
% 0.62/0.82
% 0.62/0.82 cnf(clause_513, axiom,
% 0.62/0.82 (~ 'LE'(f(B_16), s(0)) | 'E'(0, f(B_16)) | 'LE'(f(B_16), 0))).
% 0.62/0.82
% 0.62/0.82 cnf(refute_0_0, plain, ('LE'(f(suc(B_16)), s(0))),
% 0.62/0.82 inference(subst, [], [clause_497 : [bind(A, $fot(suc(B_16)))]])).
% 0.62/0.82
% 0.62/0.82 cnf(refute_0_1, plain, ('E'(0, f(suc(B_16))) | 'LE'(f(B_16), 0)),
% 0.62/0.82 inference(resolve, [$cnf('LE'(f(suc(B_16)), s(0)))],
% 0.62/0.82 [refute_0_0, clause_5])).
% 0.62/0.82
% 0.62/0.82 cnf(refute_0_2, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.62/0.82 inference(subst, [], [refute_0_1 : [bind(B_16, $fot(z))]])).
% 0.62/0.82
% 0.62/0.82 cnf(refute_0_3, plain, ('LE'(f(suc(suc(B_16))), s(0))),
% 0.62/0.82 inference(subst, [], [clause_497 : [bind(A, $fot(suc(suc(B_16))))]])).
% 0.62/0.82
% 0.62/0.82 cnf(refute_0_4, plain, ('E'(0, f(suc(suc(B_16)))) | 'LE'(f(B_16), 0)),
% 0.62/0.82 inference(resolve, [$cnf('LE'(f(suc(suc(B_16))), s(0)))],
% 0.62/0.82 [refute_0_3, clause_72])).
% 0.62/0.82
% 0.62/0.82 cnf(refute_0_5, plain, ('E'(0, f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 0.62/0.82 inference(subst, [], [refute_0_4 : [bind(B_16, $fot(z))]])).
% 0.62/0.82
% 0.62/0.82 cnf(refute_0_6, plain,
% 0.62/0.82 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z)) |
% 0.62/0.82 'E'(f(z), f(suc(z)))),
% 0.62/0.82 inference(subst, [],
% 0.62/0.82 [clause_209 :
% 0.62/0.82 [bind(A_1, $fot(z)), bind(B_17, $fot(z)),
% 0.62/0.82 bind(B_18, $fot(z)), bind(B_19, $fot(z)),
% 0.62/0.82 bind(B_20, $fot(z))]])).
% 0.62/0.82
% 0.62/0.82 cnf(refute_0_7, plain, ('LE'(f(B_16), s(0))),
% 0.62/0.82 inference(subst, [], [clause_497 : [bind(A, $fot(B_16))]])).
% 0.62/0.82
% 0.62/0.82 cnf(refute_0_8, plain, ('E'(0, f(B_16)) | 'LE'(f(B_16), 0)),
% 0.62/0.82 inference(resolve, [$cnf('LE'(f(B_16), s(0)))],
% 0.62/0.82 [refute_0_7, clause_513])).
% 0.62/0.82
% 0.62/0.82 cnf(refute_0_9, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 0.62/0.82 inference(subst, [], [refute_0_8 : [bind(B_16, $fot(z))]])).
% 0.62/0.82
% 0.62/0.82 cnf(refute_0_10, plain, ('E'(0, f(z))),
% 0.62/0.82 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_9, clause_269])).
% 0.62/0.82
% 0.62/0.82 cnf(refute_0_11, plain, ('E'(0, f(suc(X_4))) | 'LE'(f(X_4), 0)),
% 0.62/0.82 inference(subst, [], [refute_0_1 : [bind(B_16, $fot(X_4))]])).
% 0.62/0.82
% 0.62/0.82 cnf(refute_0_12, plain,
% 0.62/0.82 (~ 'E'(0, f(X_4)) | ~ 'E'(0, f(suc(X_4))) | 'E'(f(X_4), f(suc(X_4))) |
% 0.62/0.82 iLEQ(suc(X_4), suc(X_4))),
% 0.62/0.82 inference(subst, [], [clause_84 : [bind(A_1, $fot(X_4))]])).
% 0.62/0.82
% 0.62/0.82 cnf(refute_0_13, plain,
% 0.62/0.82 (~ 'E'(0, f(X_4)) | 'E'(f(X_4), f(suc(X_4))) | 'LE'(f(X_4), 0) |
% 0.62/0.82 iLEQ(suc(X_4), suc(X_4))),
% 0.62/0.82 inference(resolve, [$cnf('E'(0, f(suc(X_4))))],
% 0.62/0.82 [refute_0_11, refute_0_12])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_14, plain,
% 0.62/0.83 (~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) |
% 0.62/0.83 iLEQ(suc(z), suc(z))),
% 0.62/0.83 inference(subst, [], [refute_0_13 : [bind(X_4, $fot(z))]])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_15, plain,
% 0.62/0.83 ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.62/0.83 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_10, refute_0_14])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_16, plain, ('E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.62/0.83 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_15, clause_269])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_17, plain,
% 0.62/0.83 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.62/0.83 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.62/0.83 inference(subst, [], [clause_379 : [bind(A_1, $fot(z))]])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_18, plain,
% 0.62/0.83 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.62/0.83 iLEQ(suc(z), suc(z))),
% 0.62/0.83 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.62/0.83 [refute_0_16, refute_0_17])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_19, plain,
% 0.62/0.83 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.62/0.83 iLEQ(suc(z), suc(z))),
% 0.62/0.83 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_10, refute_0_18])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_20, plain,
% 0.62/0.83 (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.62/0.83 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.62/0.83 [refute_0_5, refute_0_19])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_21, plain, (~ 'E'(0, f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.62/0.83 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_20, clause_269])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_22, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.62/0.83 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.62/0.83 [refute_0_2, refute_0_21])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_23, plain, (iLEQ(suc(z), suc(z))),
% 0.62/0.83 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_22, clause_269])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_24, plain,
% 0.62/0.83 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z)))),
% 0.62/0.83 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.62/0.83 [refute_0_23, refute_0_6])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_25, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(z)))),
% 0.62/0.83 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_10, refute_0_24])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_26, plain, ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0)),
% 0.62/0.83 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.62/0.83 [refute_0_2, refute_0_25])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_27, plain, ('E'(f(z), f(suc(z)))),
% 0.62/0.83 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_26, clause_269])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_28, plain,
% 0.62/0.83 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.62/0.83 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 0.62/0.83 inference(subst, [],
% 0.62/0.83 [clause_125 :
% 0.62/0.83 [bind(A_1, $fot(z)), bind(B_17, $fot(z)),
% 0.62/0.83 bind(B_18, $fot(z)), bind(B_19, $fot(z)),
% 0.62/0.83 bind(B_20, $fot(z))]])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_29, plain,
% 0.62/0.83 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.62/0.83 ~ iLEQ(suc(z), suc(z))),
% 0.62/0.83 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.62/0.83 [refute_0_27, refute_0_28])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_30, plain,
% 0.62/0.83 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.62/0.83 ~ iLEQ(suc(z), suc(z))),
% 0.62/0.83 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_10, refute_0_29])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_31, plain, (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z)))),
% 0.62/0.83 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.62/0.83 [refute_0_23, refute_0_30])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_32, plain, (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.62/0.83 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.62/0.83 [refute_0_5, refute_0_31])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_33, plain, (~ 'E'(0, f(suc(z)))),
% 0.62/0.83 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_32, clause_269])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_34, plain, ('LE'(f(z), 0)),
% 0.62/0.83 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.62/0.83 [refute_0_2, refute_0_33])).
% 0.62/0.83
% 0.62/0.83 cnf(refute_0_35, plain, ($false),
% 0.62/0.83 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_34, clause_269])).
% 0.62/0.83 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.83
%------------------------------------------------------------------------------