TSTP Solution File: GEO008-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO008-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TQDfFDpKJb true
% Computer : n020.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 : 300s
% DateTime : Wed Aug 30 23:55:51 EDT 2023
% Result : Unsatisfiable 24.69s 4.16s
% Output : Refutation 24.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO008-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TQDfFDpKJb true
% 0.13/0.36 % Computer : n020.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Aug 29 19:53:28 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 24.69/4.16 % Solved by fo/fo3_bce.sh.
% 24.69/4.16 % BCE start: 24
% 24.69/4.16 % BCE eliminated: 0
% 24.69/4.16 % PE start: 24
% 24.69/4.16 logic: eq
% 24.69/4.16 % PE eliminated: 0
% 24.69/4.16 % done 1972 iterations in 3.428s
% 24.69/4.16 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 24.69/4.16 % SZS output start Refutation
% 24.69/4.16 thf(between_type, type, between: $i > $i > $i > $o).
% 24.69/4.16 thf(a_type, type, a: $i).
% 24.69/4.16 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 24.69/4.16 thf(extension_type, type, extension: $i > $i > $i > $i > $i).
% 24.69/4.16 thf(e_type, type, e: $i).
% 24.69/4.16 thf(c_type, type, c: $i).
% 24.69/4.16 thf(outer_pasch_type, type, outer_pasch: $i > $i > $i > $i > $i > $i).
% 24.69/4.16 thf(d_type, type, d: $i).
% 24.69/4.16 thf(b_type, type, b: $i).
% 24.69/4.16 thf(b_between_c_and_d, axiom, (between @ c @ b @ d)).
% 24.69/4.16 thf(zip_derived_cl22, plain, ( (between @ c @ b @ d)),
% 24.69/4.16 inference('cnf', [status(esa)], [b_between_c_and_d])).
% 24.69/4.16 thf(segment_construction2, axiom,
% 24.69/4.16 (equidistant @ Y @ ( extension @ X @ Y @ W @ V ) @ W @ V)).
% 24.69/4.16 thf(zip_derived_cl13, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.69/4.16 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 24.69/4.16 inference('cnf', [status(esa)], [segment_construction2])).
% 24.69/4.16 thf(identity_for_equidistance, axiom,
% 24.69/4.16 (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( ( X ) = ( Y ) ))).
% 24.69/4.16 thf(zip_derived_cl4, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 24.69/4.16 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 24.69/4.16 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 24.69/4.16 thf(zip_derived_cl180, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 24.69/4.16 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl4])).
% 24.69/4.16 thf(segment_construction1, axiom,
% 24.69/4.16 (between @ X @ Y @ ( extension @ X @ Y @ W @ V ))).
% 24.69/4.16 thf(zip_derived_cl12, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.69/4.16 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 24.69/4.16 inference('cnf', [status(esa)], [segment_construction1])).
% 24.69/4.16 thf(zip_derived_cl210, plain,
% 24.69/4.16 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 24.69/4.16 inference('sup+', [status(thm)], [zip_derived_cl180, zip_derived_cl12])).
% 24.69/4.16 thf(outer_pasch1, axiom,
% 24.69/4.16 (( ~( between @ X @ W @ V ) ) | ( ~( between @ Y @ V @ Z ) ) |
% 24.69/4.16 ( between @ X @ ( outer_pasch @ W @ X @ Y @ Z @ V ) @ Y ))).
% 24.69/4.16 thf(zip_derived_cl6, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 24.69/4.16 (~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X3 @ X2 @ X4)
% 24.69/4.16 | (between @ X0 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2) @ X3))),
% 24.69/4.16 inference('cnf', [status(esa)], [outer_pasch1])).
% 24.69/4.16 thf(identity_for_betweeness, axiom,
% 24.69/4.16 (( ~( between @ X @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 24.69/4.16 thf(zip_derived_cl0, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 24.69/4.16 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 24.69/4.16 thf(zip_derived_cl183, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.69/4.16 (~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X0 @ X3 @ X1)
% 24.69/4.16 | ((X0) = (outer_pasch @ X3 @ X0 @ X0 @ X2 @ X1)))),
% 24.69/4.16 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 24.69/4.16 thf(outer_pasch2, axiom,
% 24.69/4.16 (( ~( between @ X @ W @ V ) ) | ( ~( between @ Y @ V @ Z ) ) |
% 24.69/4.16 ( between @ Z @ W @ ( outer_pasch @ W @ X @ Y @ Z @ V ) ))).
% 24.69/4.16 thf(zip_derived_cl7, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 24.69/4.16 (~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X3 @ X2 @ X4)
% 24.69/4.16 | (between @ X4 @ X1 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2)))),
% 24.69/4.16 inference('cnf', [status(esa)], [outer_pasch2])).
% 24.69/4.16 thf(zip_derived_cl357, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.69/4.16 ( (between @ X2 @ X3 @ X0)
% 24.69/4.16 | ~ (between @ X0 @ X3 @ X1)
% 24.69/4.16 | ~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X0 @ X3 @ X1))),
% 24.69/4.16 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl7])).
% 24.69/4.16 thf(zip_derived_cl359, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.69/4.16 (~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X0 @ X3 @ X1)
% 24.69/4.16 | (between @ X2 @ X3 @ X0))),
% 24.69/4.16 inference('simplify', [status(thm)], [zip_derived_cl357])).
% 24.69/4.16 thf(zip_derived_cl362, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 24.69/4.16 ( (between @ X0 @ X2 @ X1) | ~ (between @ X1 @ X2 @ X0))),
% 24.69/4.16 inference('sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl359])).
% 24.69/4.16 thf(zip_derived_cl416, plain, ( (between @ d @ b @ c)),
% 24.69/4.16 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl362])).
% 24.69/4.16 thf(zip_derived_cl7, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 24.69/4.16 (~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X3 @ X2 @ X4)
% 24.69/4.16 | (between @ X4 @ X1 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2)))),
% 24.69/4.16 inference('cnf', [status(esa)], [outer_pasch2])).
% 24.69/4.16 thf(zip_derived_cl6, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 24.69/4.16 (~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X3 @ X2 @ X4)
% 24.69/4.16 | (between @ X0 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2) @ X3))),
% 24.69/4.16 inference('cnf', [status(esa)], [outer_pasch1])).
% 24.69/4.16 thf(zip_derived_cl359, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.69/4.16 (~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X0 @ X3 @ X1)
% 24.69/4.16 | (between @ X2 @ X3 @ X0))),
% 24.69/4.16 inference('simplify', [status(thm)], [zip_derived_cl357])).
% 24.69/4.16 thf(zip_derived_cl367, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 24.69/4.16 (~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X3 @ X4 @ X1)
% 24.69/4.16 | (between @ X0 @ X5 @ X3)
% 24.69/4.16 | ~ (between @ X3 @ X5 @ (outer_pasch @ X4 @ X3 @ X0 @ X2 @ X1)))),
% 24.69/4.16 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl359])).
% 24.69/4.16 thf(zip_derived_cl4661, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.69/4.16 (~ (between @ X2 @ X0 @ X1)
% 24.69/4.16 | ~ (between @ X1 @ X3 @ X0)
% 24.69/4.16 | (between @ X2 @ X3 @ X1)
% 24.69/4.16 | ~ (between @ X1 @ X3 @ X0)
% 24.69/4.16 | ~ (between @ X2 @ X0 @ X1))),
% 24.69/4.16 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl367])).
% 24.69/4.16 thf(zip_derived_cl4680, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.69/4.16 ( (between @ X2 @ X3 @ X1)
% 24.69/4.16 | ~ (between @ X1 @ X3 @ X0)
% 24.69/4.16 | ~ (between @ X2 @ X0 @ X1))),
% 24.69/4.16 inference('simplify', [status(thm)], [zip_derived_cl4661])).
% 24.69/4.16 thf(zip_derived_cl4769, plain,
% 24.69/4.16 (![X0 : $i]: (~ (between @ X0 @ c @ d) | (between @ X0 @ b @ d))),
% 24.69/4.16 inference('sup-', [status(thm)], [zip_derived_cl416, zip_derived_cl4680])).
% 24.69/4.16 thf(zip_derived_cl6, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 24.69/4.16 (~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X3 @ X2 @ X4)
% 24.69/4.16 | (between @ X0 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2) @ X3))),
% 24.69/4.16 inference('cnf', [status(esa)], [outer_pasch1])).
% 24.69/4.16 thf(zip_derived_cl362, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 24.69/4.16 ( (between @ X0 @ X2 @ X1) | ~ (between @ X1 @ X2 @ X0))),
% 24.69/4.16 inference('sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl359])).
% 24.69/4.16 thf(zip_derived_cl409, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 24.69/4.16 (~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X3 @ X4 @ X1)
% 24.69/4.16 | (between @ X0 @ (outer_pasch @ X4 @ X3 @ X0 @ X2 @ X1) @ X3))),
% 24.69/4.16 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl362])).
% 24.69/4.16 thf(c_between_a_and_e, axiom, (between @ a @ c @ e)).
% 24.69/4.16 thf(zip_derived_cl20, plain, ( (between @ a @ c @ e)),
% 24.69/4.16 inference('cnf', [status(esa)], [c_between_a_and_e])).
% 24.69/4.16 thf(zip_derived_cl359, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.69/4.16 (~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X0 @ X3 @ X1)
% 24.69/4.16 | (between @ X2 @ X3 @ X0))),
% 24.69/4.16 inference('simplify', [status(thm)], [zip_derived_cl357])).
% 24.69/4.16 thf(zip_derived_cl372, plain,
% 24.69/4.16 (![X0 : $i]: ( (between @ e @ X0 @ a) | ~ (between @ a @ X0 @ c))),
% 24.69/4.16 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl359])).
% 24.69/4.16 thf(zip_derived_cl359, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.69/4.16 (~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X0 @ X3 @ X1)
% 24.69/4.16 | (between @ X2 @ X3 @ X0))),
% 24.69/4.16 inference('simplify', [status(thm)], [zip_derived_cl357])).
% 24.69/4.16 thf(zip_derived_cl452, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i]:
% 24.69/4.16 (~ (between @ a @ X0 @ c)
% 24.69/4.16 | (between @ a @ X1 @ e)
% 24.69/4.16 | ~ (between @ e @ X1 @ X0))),
% 24.69/4.16 inference('sup-', [status(thm)], [zip_derived_cl372, zip_derived_cl359])).
% 24.69/4.16 thf(zip_derived_cl7, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 24.69/4.16 (~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X3 @ X2 @ X4)
% 24.69/4.16 | (between @ X4 @ X1 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2)))),
% 24.69/4.16 inference('cnf', [status(esa)], [outer_pasch2])).
% 24.69/4.16 thf(zip_derived_cl581, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.69/4.16 ( (between @ a @ X3 @ e)
% 24.69/4.16 | ~ (between @ a @ (outer_pasch @ X3 @ X2 @ X1 @ e @ X0) @ c)
% 24.69/4.16 | ~ (between @ X1 @ X0 @ e)
% 24.69/4.16 | ~ (between @ X2 @ X3 @ X0))),
% 24.69/4.16 inference('sup+', [status(thm)], [zip_derived_cl452, zip_derived_cl7])).
% 24.69/4.16 thf(zip_derived_cl12368, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i]:
% 24.69/4.16 (~ (between @ c @ X1 @ X0)
% 24.69/4.16 | ~ (between @ a @ X0 @ e)
% 24.69/4.16 | ~ (between @ c @ X1 @ X0)
% 24.69/4.16 | ~ (between @ a @ X0 @ e)
% 24.69/4.16 | (between @ a @ X1 @ e))),
% 24.69/4.16 inference('sup-', [status(thm)], [zip_derived_cl409, zip_derived_cl581])).
% 24.69/4.16 thf(zip_derived_cl12372, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i]:
% 24.69/4.16 ( (between @ a @ X1 @ e)
% 24.69/4.16 | ~ (between @ a @ X0 @ e)
% 24.69/4.16 | ~ (between @ c @ X1 @ X0))),
% 24.69/4.16 inference('simplify', [status(thm)], [zip_derived_cl12368])).
% 24.69/4.16 thf(zip_derived_cl12607, plain,
% 24.69/4.16 ((~ (between @ c @ c @ d)
% 24.69/4.16 | ~ (between @ a @ d @ e)
% 24.69/4.16 | (between @ a @ b @ e))),
% 24.69/4.16 inference('sup-', [status(thm)],
% 24.69/4.16 [zip_derived_cl4769, zip_derived_cl12372])).
% 24.69/4.16 thf(zip_derived_cl359, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 24.69/4.16 (~ (between @ X0 @ X1 @ X2)
% 24.69/4.16 | ~ (between @ X0 @ X3 @ X1)
% 24.69/4.16 | (between @ X2 @ X3 @ X0))),
% 24.69/4.16 inference('simplify', [status(thm)], [zip_derived_cl357])).
% 24.69/4.16 thf(zip_derived_cl375, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i]:
% 24.69/4.16 ( (between @ X0 @ X0 @ X1) | ~ (between @ X1 @ X0 @ X0))),
% 24.69/4.16 inference('eq_fact', [status(thm)], [zip_derived_cl359])).
% 24.69/4.16 thf(zip_derived_cl210, plain,
% 24.69/4.16 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 24.69/4.16 inference('sup+', [status(thm)], [zip_derived_cl180, zip_derived_cl12])).
% 24.69/4.16 thf(zip_derived_cl377, plain,
% 24.69/4.16 (![X0 : $i, X1 : $i]: (between @ X0 @ X0 @ X1)),
% 24.69/4.16 inference('demod', [status(thm)], [zip_derived_cl375, zip_derived_cl210])).
% 24.69/4.16 thf(d_between_a_and_e, axiom, (between @ a @ d @ e)).
% 24.69/4.16 thf(zip_derived_cl21, plain, ( (between @ a @ d @ e)),
% 24.69/4.16 inference('cnf', [status(esa)], [d_between_a_and_e])).
% 24.69/4.16 thf(prove_betweenness, conjecture, (between @ a @ b @ e)).
% 24.69/4.16 thf(zf_stmt_0, negated_conjecture, (~( between @ a @ b @ e )),
% 24.69/4.16 inference('cnf.neg', [status(esa)], [prove_betweenness])).
% 24.69/4.16 thf(zip_derived_cl23, plain, (~ (between @ a @ b @ e)),
% 24.69/4.16 inference('cnf', [status(esa)], [zf_stmt_0])).
% 24.69/4.16 thf(zip_derived_cl12632, plain, ($false),
% 24.69/4.16 inference('demod', [status(thm)],
% 24.69/4.16 [zip_derived_cl12607, zip_derived_cl377, zip_derived_cl21,
% 24.69/4.16 zip_derived_cl23])).
% 24.69/4.16
% 24.69/4.16 % SZS output end Refutation
% 24.69/4.16
% 24.69/4.16
% 24.69/4.16 % Terminating...
% 25.34/4.26 % Runner terminated.
% 25.34/4.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------