%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO002-1 : TPTP v9.2.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8OEq68XozG true
% Computer : n017.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 : Thu Oct 2 04:33:33 PM UTC 2025
% Result : Unsatisfiable 0.56s 0.77s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO002-1 : TPTP v9.2.0. Bugfixed v2.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8OEq68XozG true
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 17:34:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.53/0.62 % Total configuration time : 435
% 0.53/0.62 % Estimated wc time : 1092
% 0.53/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.77 % Solved by fo/fo3_bce.sh.
% 0.56/0.77 % BCE start: 21
% 0.56/0.77 % BCE eliminated: 0
% 0.56/0.77 % PE start: 21
% 0.56/0.77 logic: eq
% 0.56/0.77 % PE eliminated: 0
% 0.56/0.77 % done 75 iterations in 0.064s
% 0.56/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.77 % SZS output start Refutation
% 0.56/0.77 thf(between_type, type, between: $i > $i > $i > $o).
% 0.56/0.77 thf(a_type, type, a: $i).
% 0.56/0.77 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 0.56/0.77 thf(extension_type, type, extension: $i > $i > $i > $i > $i).
% 0.56/0.77 thf(b_type, type, b: $i).
% 0.56/0.77 thf(outer_pasch_type, type, outer_pasch: $i > $i > $i > $i > $i > $i).
% 0.56/0.77 thf(prove_a_between_a_and_b, conjecture, (between @ a @ a @ b)).
% 0.56/0.77 thf(zf_stmt_0, negated_conjecture, (~( between @ a @ a @ b )),
% 0.56/0.77 inference('cnf.neg', [status(esa)], [prove_a_between_a_and_b])).
% 0.56/0.77 thf(zip_derived_cl20, plain, (~ (between @ a @ a @ b)),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.77 thf(outer_pasch1, axiom,
% 0.56/0.77 (( ~( between @ X @ W @ V ) ) | ( ~( between @ Y @ V @ Z ) ) |
% 0.56/0.77 ( between @ X @ ( outer_pasch @ W @ X @ Y @ Z @ V ) @ Y ))).
% 0.56/0.77 thf(zip_derived_cl6, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.77 (~ (between @ X0 @ X1 @ X2)
% 0.56/0.77 | ~ (between @ X3 @ X2 @ X4)
% 0.56/0.77 | (between @ X0 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2) @ X3))),
% 0.56/0.77 inference('cnf', [status(esa)], [outer_pasch1])).
% 0.56/0.77 thf(identity_for_betweeness, axiom,
% 0.56/0.77 (( ~( between @ X @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 0.56/0.77 thf(zip_derived_cl0, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 0.56/0.77 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 0.56/0.77 thf(zip_derived_cl170, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.77 (~ (between @ X0 @ X1 @ X2)
% 0.56/0.77 | ~ (between @ X0 @ X3 @ X1)
% 0.56/0.77 | ((X0) = (outer_pasch @ X3 @ X0 @ X0 @ X2 @ X1)))),
% 0.56/0.77 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 0.56/0.77 thf(outer_pasch2, axiom,
% 0.56/0.77 (( ~( between @ X @ W @ V ) ) | ( ~( between @ Y @ V @ Z ) ) |
% 0.56/0.77 ( between @ Z @ W @ ( outer_pasch @ W @ X @ Y @ Z @ V ) ))).
% 0.56/0.77 thf(zip_derived_cl7, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.77 (~ (between @ X0 @ X1 @ X2)
% 0.56/0.77 | ~ (between @ X3 @ X2 @ X4)
% 0.56/0.77 | (between @ X4 @ X1 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2)))),
% 0.56/0.77 inference('cnf', [status(esa)], [outer_pasch2])).
% 0.56/0.77 thf(zip_derived_cl323, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.77 ( (between @ X2 @ X3 @ X0)
% 0.56/0.77 | ~ (between @ X0 @ X3 @ X1)
% 0.56/0.77 | ~ (between @ X0 @ X1 @ X2)
% 0.56/0.77 | ~ (between @ X0 @ X1 @ X2)
% 0.56/0.77 | ~ (between @ X0 @ X3 @ X1))),
% 0.56/0.77 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl7])).
% 0.56/0.77 thf(zip_derived_cl325, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.77 (~ (between @ X0 @ X1 @ X2)
% 0.56/0.77 | ~ (between @ X0 @ X3 @ X1)
% 0.56/0.77 | (between @ X2 @ X3 @ X0))),
% 0.56/0.77 inference('simplify', [status(thm)], [zip_derived_cl323])).
% 0.56/0.77 thf(zip_derived_cl336, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 ( (between @ X0 @ X0 @ X1) | ~ (between @ X1 @ X0 @ X0))),
% 0.56/0.77 inference('eq_fact', [status(thm)], [zip_derived_cl325])).
% 0.56/0.77 thf(segment_construction2, axiom,
% 0.56/0.77 (equidistant @ Y @ ( extension @ X @ Y @ W @ V ) @ W @ V)).
% 0.56/0.77 thf(zip_derived_cl13, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.77 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 0.56/0.77 inference('cnf', [status(esa)], [segment_construction2])).
% 0.56/0.77 thf(identity_for_equidistance, axiom,
% 0.56/0.77 (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( ( X ) = ( Y ) ))).
% 0.56/0.77 thf(zip_derived_cl4, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.77 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 0.56/0.77 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 0.56/0.77 thf(zip_derived_cl153, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 0.56/0.77 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl4])).
% 0.56/0.77 thf(segment_construction1, axiom,
% 0.56/0.77 (between @ X @ Y @ ( extension @ X @ Y @ W @ V ))).
% 0.56/0.77 thf(zip_derived_cl12, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.77 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 0.56/0.77 inference('cnf', [status(esa)], [segment_construction1])).
% 0.56/0.77 thf(zip_derived_cl175, plain,
% 0.56/0.77 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 0.56/0.77 inference('sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl12])).
% 0.56/0.77 thf(zip_derived_cl338, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]: (between @ X0 @ X0 @ X1)),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl336, zip_derived_cl175])).
% 0.56/0.77 thf(zip_derived_cl339, plain, ($false),
% 0.56/0.77 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl338])).
% 0.56/0.77
% 0.56/0.77 % SZS output end Refutation
% 0.56/0.77
% 0.56/0.77
% 0.56/0.77 % Terminating...
% 0.56/0.83 % Runner terminated.
% 0.56/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------