TSTP Solution File: SYO633-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO633-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 18:40:34 EDT 2022
% Result : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO633-1 : TPTP v8.1.0. Released v7.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jul 8 16:19:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37
% 0.14/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 cnf(clause_5_03, axiom,
% 0.14/0.37 (~ 'E'(f(A_2), s(s(0))) | ~ 'E'(f(A_0), s(s(s(s(0))))) |
% 0.14/0.37 ~ 'E'(f(A_1), s(s(s(0)))) | ~ 'E'(f(A_3), s(0)) | ~ 'E'(f(A_4), 0) |
% 0.14/0.37 ~ 'E'(f(B_0), s(s(s(s(s(0)))))))).
% 0.14/0.37
% 0.14/0.37 cnf(clause_6_04, axiom, ('E'(f(B_0), s(s(s(s(0))))))).
% 0.14/0.37
% 0.14/0.37 cnf(clause_8_05, axiom, ('E'(f(B), s(s(s(s(s(0)))))))).
% 0.14/0.37
% 0.14/0.37 cnf(clause_2_07, axiom,
% 0.14/0.37 (~ 'E'(f(A_2), s(s(0))) | ~ 'E'(f(A_0), s(s(s(s(0))))) |
% 0.14/0.37 ~ 'E'(f(A_1), s(s(s(0)))) | ~ 'E'(f(A_3), s(0)) |
% 0.14/0.37 ~ 'E'(f(B_0), s(s(s(s(s(0)))))) |
% 0.14/0.37 'E'(f('AP'(s(s(s(s(s(s(0)))))), K)), 0))).
% 0.14/0.37
% 0.14/0.37 cnf(clause_12_09, axiom,
% 0.14/0.37 (~ 'E'(f(A_0), s(s(s(s(0))))) | ~ 'E'(f(B_0), s(s(s(s(s(0)))))) |
% 0.14/0.37 ~ 'E'(f(A_1), s(s(s(0)))) | ~ 'E'(f(A_2), s(s(0))) |
% 0.14/0.37 'E'(f('AP'(s(s(s(s(s(s(0)))))), K)), s(0)))).
% 0.14/0.37
% 0.14/0.37 cnf(clause_1_10, axiom,
% 0.14/0.37 (~ 'E'(f(A_0), s(s(s(s(0))))) | ~ 'E'(f(B_0), s(s(s(s(s(0)))))) |
% 0.14/0.37 'E'(f(B_0), s(s(s(0)))))).
% 0.14/0.37
% 0.14/0.37 cnf(clause_4_12, axiom,
% 0.14/0.37 (~ 'E'(f(A_0), s(s(s(s(0))))) | ~ 'E'(f(B_0), s(s(s(s(s(0)))))) |
% 0.14/0.37 ~ 'E'(f(A_1), s(s(s(0)))) |
% 0.14/0.37 'E'(f('AP'(s(s(s(s(s(s(0)))))), K)), s(s(0))))).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_0, plain, ('E'(f(A_0), s(s(s(s(0)))))),
% 0.14/0.37 inference(subst, [], [clause_6_04 : [bind(B_0, $fot(A_0))]])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_1, plain,
% 0.14/0.37 (~ 'E'(f(A_1), s(s(s(0)))) | ~ 'E'(f(B_0), s(s(s(s(s(0)))))) |
% 0.14/0.37 'E'(f('AP'(s(s(s(s(s(s(0)))))), K)), s(s(0)))),
% 0.14/0.37 inference(resolve, [$cnf('E'(f(A_0), s(s(s(s(0))))))],
% 0.14/0.37 [refute_0_0, clause_4_12])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_2, plain,
% 0.14/0.37 (~ 'E'(f(B_0), s(s(s(s(s(0)))))) | 'E'(f(B_0), s(s(s(0))))),
% 0.14/0.37 inference(resolve, [$cnf('E'(f(A_0), s(s(s(s(0))))))],
% 0.14/0.37 [refute_0_0, clause_1_10])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_3, plain, ('E'(f(B_0), s(s(s(s(s(0))))))),
% 0.14/0.37 inference(subst, [], [clause_8_05 : [bind(B, $fot(B_0))]])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_4, plain, ('E'(f(B_0), s(s(s(0))))),
% 0.14/0.37 inference(resolve, [$cnf('E'(f(B_0), s(s(s(s(s(0)))))))],
% 0.14/0.37 [refute_0_3, refute_0_2])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_5, plain, ('E'(f(A_1), s(s(s(0))))),
% 0.14/0.37 inference(subst, [], [refute_0_4 : [bind(B_0, $fot(A_1))]])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_6, plain,
% 0.14/0.37 (~ 'E'(f(B_0), s(s(s(s(s(0)))))) |
% 0.14/0.37 'E'(f('AP'(s(s(s(s(s(s(0)))))), K)), s(s(0)))),
% 0.14/0.37 inference(resolve, [$cnf('E'(f(A_1), s(s(s(0)))))],
% 0.14/0.37 [refute_0_5, refute_0_1])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_7, plain, ('E'(f('AP'(s(s(s(s(s(s(0)))))), K)), s(s(0)))),
% 0.14/0.37 inference(resolve, [$cnf('E'(f(B_0), s(s(s(s(s(0)))))))],
% 0.14/0.37 [refute_0_3, refute_0_6])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_8, plain,
% 0.14/0.37 (~ 'E'(f(A_1), s(s(s(0)))) | ~ 'E'(f(A_2), s(s(0))) |
% 0.14/0.37 ~ 'E'(f(B_0), s(s(s(s(s(0)))))) |
% 0.14/0.37 'E'(f('AP'(s(s(s(s(s(s(0)))))), K)), s(0))),
% 0.14/0.37 inference(resolve, [$cnf('E'(f(A_0), s(s(s(s(0))))))],
% 0.14/0.37 [refute_0_0, clause_12_09])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_9, plain,
% 0.14/0.37 (~ 'E'(f(A_2), s(s(0))) | ~ 'E'(f(B_0), s(s(s(s(s(0)))))) |
% 0.14/0.37 'E'(f('AP'(s(s(s(s(s(s(0)))))), K)), s(0))),
% 0.14/0.37 inference(resolve, [$cnf('E'(f(A_1), s(s(s(0)))))],
% 0.14/0.37 [refute_0_5, refute_0_8])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_10, plain,
% 0.14/0.37 (~ 'E'(f(A_2), s(s(0))) | 'E'(f('AP'(s(s(s(s(s(s(0)))))), K)), s(0))),
% 0.14/0.37 inference(resolve, [$cnf('E'(f(B_0), s(s(s(s(s(0)))))))],
% 0.14/0.37 [refute_0_3, refute_0_9])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_11, plain,
% 0.14/0.37 (~ 'E'(f('AP'(s(s(s(s(s(s(0)))))), K)), s(s(0))) |
% 0.14/0.37 'E'(f('AP'(s(s(s(s(s(s(0)))))), X_12)), s(0))),
% 0.14/0.37 inference(subst, [],
% 0.14/0.37 [refute_0_10 :
% 0.14/0.37 [bind(A_2, $fot('AP'(s(s(s(s(s(s(0)))))), K))),
% 0.14/0.37 bind(K, $fot(X_12))]])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_12, plain, ('E'(f('AP'(s(s(s(s(s(s(0)))))), X_12)), s(0))),
% 0.14/0.37 inference(resolve,
% 0.14/0.37 [$cnf('E'(f('AP'(s(s(s(s(s(s(0)))))), K)), s(s(0))))],
% 0.14/0.37 [refute_0_7, refute_0_11])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_13, plain,
% 0.14/0.37 (~ 'E'(f(A_1), s(s(s(0)))) | ~ 'E'(f(A_2), s(s(0))) |
% 0.14/0.37 ~ 'E'(f(A_3), s(0)) | ~ 'E'(f(B_0), s(s(s(s(s(0)))))) |
% 0.14/0.37 'E'(f('AP'(s(s(s(s(s(s(0)))))), K)), 0)),
% 0.14/0.37 inference(resolve, [$cnf('E'(f(A_0), s(s(s(s(0))))))],
% 0.14/0.37 [refute_0_0, clause_2_07])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_14, plain,
% 0.14/0.37 (~ 'E'(f(A_2), s(s(0))) | ~ 'E'(f(A_3), s(0)) |
% 0.14/0.37 ~ 'E'(f(B_0), s(s(s(s(s(0)))))) |
% 0.14/0.37 'E'(f('AP'(s(s(s(s(s(s(0)))))), K)), 0)),
% 0.14/0.37 inference(resolve, [$cnf('E'(f(A_1), s(s(s(0)))))],
% 0.14/0.37 [refute_0_5, refute_0_13])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_15, plain,
% 0.14/0.37 (~ 'E'(f(A_2), s(s(0))) | ~ 'E'(f(A_3), s(0)) |
% 0.14/0.37 'E'(f('AP'(s(s(s(s(s(s(0)))))), K)), 0)),
% 0.14/0.37 inference(resolve, [$cnf('E'(f(B_0), s(s(s(s(s(0)))))))],
% 0.14/0.37 [refute_0_3, refute_0_14])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_16, plain,
% 0.14/0.37 (~ 'E'(f(A_1), s(s(s(0)))) | ~ 'E'(f(A_2), s(s(0))) |
% 0.14/0.37 ~ 'E'(f(A_3), s(0)) | ~ 'E'(f(A_4), 0) |
% 0.14/0.37 ~ 'E'(f(B_0), s(s(s(s(s(0))))))),
% 0.14/0.37 inference(resolve, [$cnf('E'(f(A_0), s(s(s(s(0))))))],
% 0.14/0.37 [refute_0_0, clause_5_03])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_17, plain,
% 0.14/0.37 (~ 'E'(f(A_2), s(s(0))) | ~ 'E'(f(A_3), s(0)) | ~ 'E'(f(A_4), 0) |
% 0.14/0.37 ~ 'E'(f(B_0), s(s(s(s(s(0))))))),
% 0.14/0.37 inference(resolve, [$cnf('E'(f(A_1), s(s(s(0)))))],
% 0.14/0.37 [refute_0_5, refute_0_16])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_18, plain,
% 0.14/0.37 (~ 'E'(f(A_2), s(s(0))) | ~ 'E'(f(A_3), s(0)) | ~ 'E'(f(A_4), 0)),
% 0.14/0.37 inference(resolve, [$cnf('E'(f(B_0), s(s(s(s(s(0)))))))],
% 0.14/0.37 [refute_0_3, refute_0_17])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_19, plain,
% 0.14/0.37 (~ 'E'(f(X_18), s(0)) | ~ 'E'(f(X_19), 0) |
% 0.14/0.37 ~ 'E'(f('AP'(s(s(s(s(s(s(0)))))), K)), s(s(0)))),
% 0.14/0.37 inference(subst, [],
% 0.14/0.37 [refute_0_18 :
% 0.14/0.37 [bind(A_2, $fot('AP'(s(s(s(s(s(s(0)))))), K))),
% 0.14/0.37 bind(A_3, $fot(X_18)), bind(A_4, $fot(X_19))]])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_20, plain, (~ 'E'(f(X_18), s(0)) | ~ 'E'(f(X_19), 0)),
% 0.14/0.37 inference(resolve,
% 0.14/0.37 [$cnf('E'(f('AP'(s(s(s(s(s(s(0)))))), K)), s(s(0))))],
% 0.14/0.37 [refute_0_7, refute_0_19])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_21, plain,
% 0.14/0.37 (~ 'E'(f(X_21), 0) | ~ 'E'(f('AP'(s(s(s(s(s(s(0)))))), X_12)), s(0))),
% 0.14/0.37 inference(subst, [],
% 0.14/0.37 [refute_0_20 :
% 0.14/0.37 [bind(X_18, $fot('AP'(s(s(s(s(s(s(0)))))), X_12))),
% 0.14/0.37 bind(X_19, $fot(X_21))]])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_22, plain, (~ 'E'(f(X_21), 0)),
% 0.14/0.37 inference(resolve,
% 0.14/0.37 [$cnf('E'(f('AP'(s(s(s(s(s(s(0)))))), X_12)), s(0)))],
% 0.14/0.37 [refute_0_12, refute_0_21])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_23, plain, (~ 'E'(f('AP'(s(s(s(s(s(s(0)))))), K)), 0)),
% 0.14/0.37 inference(subst, [],
% 0.14/0.37 [refute_0_22 :
% 0.14/0.37 [bind(X_21, $fot('AP'(s(s(s(s(s(s(0)))))), K)))]])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_24, plain, (~ 'E'(f(A_2), s(s(0))) | ~ 'E'(f(A_3), s(0))),
% 0.14/0.37 inference(resolve, [$cnf('E'(f('AP'(s(s(s(s(s(s(0)))))), K)), 0))],
% 0.14/0.37 [refute_0_15, refute_0_23])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_25, plain,
% 0.14/0.37 (~ 'E'(f(X_30), s(0)) |
% 0.14/0.37 ~ 'E'(f('AP'(s(s(s(s(s(s(0)))))), K)), s(s(0)))),
% 0.14/0.37 inference(subst, [],
% 0.14/0.37 [refute_0_24 :
% 0.14/0.37 [bind(A_2, $fot('AP'(s(s(s(s(s(s(0)))))), K))),
% 0.14/0.37 bind(A_3, $fot(X_30))]])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_26, plain, (~ 'E'(f(X_30), s(0))),
% 0.14/0.37 inference(resolve,
% 0.14/0.37 [$cnf('E'(f('AP'(s(s(s(s(s(s(0)))))), K)), s(s(0))))],
% 0.14/0.37 [refute_0_7, refute_0_25])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_27, plain, (~ 'E'(f('AP'(s(s(s(s(s(s(0)))))), X_12)), s(0))),
% 0.14/0.37 inference(subst, [],
% 0.14/0.37 [refute_0_26 :
% 0.14/0.37 [bind(X_30, $fot('AP'(s(s(s(s(s(s(0)))))), X_12)))]])).
% 0.14/0.37
% 0.14/0.37 cnf(refute_0_28, plain, ($false),
% 0.14/0.37 inference(resolve,
% 0.14/0.37 [$cnf('E'(f('AP'(s(s(s(s(s(s(0)))))), X_12)), s(0)))],
% 0.14/0.37 [refute_0_12, refute_0_27])).
% 0.14/0.37 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37
%------------------------------------------------------------------------------