%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO002-4 : TPTP v9.2.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.v77tBjNRhv true
% 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 : 300s
% DateTime : Thu Oct 2 04:33:33 PM UTC 2025
% Result : Unsatisfiable 0.53s 0.84s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO002-4 : TPTP v9.2.0. Released v1.1.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.v77tBjNRhv true
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:39:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.51/0.66 % Total configuration time : 435
% 0.51/0.66 % Estimated wc time : 1092
% 0.51/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.84 % Solved by fo/fo6_bce.sh.
% 0.53/0.84 % BCE start: 8
% 0.53/0.84 % BCE eliminated: 0
% 0.53/0.84 % PE start: 8
% 0.53/0.84 logic: neq
% 0.53/0.84 % PE eliminated: 2
% 0.53/0.84 % done 27 iterations in 0.053s
% 0.53/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.84 % SZS output start Refutation
% 0.53/0.84 thf(between_type, type, between: $i > $i > $i > $o).
% 0.53/0.84 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 0.53/0.84 thf(extension_type, type, extension: $i > $i > $i > $i > $i).
% 0.53/0.84 thf(b_type, type, b: $i).
% 0.53/0.84 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.53/0.84 thf(a_type, type, a: $i).
% 0.53/0.84 thf(outer_pasch_type, type, outer_pasch: $i > $i > $i > $i > $i > $i).
% 0.53/0.84 thf(prove_a_between_a_and_b, conjecture, (between @ a @ a @ b)).
% 0.53/0.84 thf(zf_stmt_0, negated_conjecture, (~( between @ a @ a @ b )),
% 0.53/0.84 inference('cnf.neg', [status(esa)], [prove_a_between_a_and_b])).
% 0.53/0.84 thf(zip_derived_cl7, plain, (~ (between @ a @ a @ b)),
% 0.53/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.84 thf(segment_construction1, axiom,
% 0.53/0.84 (between @ X @ Y @ ( extension @ X @ Y @ W @ V ))).
% 0.53/0.84 thf(zip_derived_cl4, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.84 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 0.53/0.84 inference('cnf', [status(esa)], [segment_construction1])).
% 0.53/0.84 thf(transitivity_for_betweeness, axiom,
% 0.53/0.84 (( ~( between @ X @ Y @ V ) ) | ( ~( between @ Y @ Z @ V ) ) |
% 0.53/0.84 ( between @ X @ Y @ Z ))).
% 0.53/0.84 thf(zip_derived_cl0, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.84 (~ (between @ X0 @ X1 @ X2)
% 0.53/0.84 | ~ (between @ X1 @ X3 @ X2)
% 0.53/0.84 | (between @ X0 @ X1 @ X3))),
% 0.53/0.84 inference('cnf', [status(esa)], [transitivity_for_betweeness])).
% 0.53/0.84 thf(zip_derived_cl11, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i]:
% 0.53/0.84 ( (between @ X1 @ X1 @ X1) | ~ (between @ X1 @ X1 @ X0))),
% 0.53/0.84 inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 0.53/0.84 thf(zip_derived_cl14, plain, (![X2 : $i]: (between @ X2 @ X2 @ X2)),
% 0.53/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl11])).
% 0.53/0.84 thf(segment_construction2, axiom,
% 0.53/0.84 (equidistant @ Y @ ( extension @ X @ Y @ W @ V ) @ W @ V)).
% 0.53/0.84 thf(zip_derived_cl5, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.84 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 0.53/0.84 inference('cnf', [status(esa)], [segment_construction2])).
% 0.53/0.84 thf(identity_for_equidistance, axiom,
% 0.53/0.84 (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( equalish @ X @ Y ))).
% 0.53/0.84 thf(zip_derived_cl1, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.84 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | (equalish @ X0 @ X1))),
% 0.53/0.84 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 0.53/0.84 thf(zip_derived_cl8, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.84 (equalish @ X1 @ (extension @ X2 @ X1 @ X0 @ X0))),
% 0.53/0.84 inference('dp-resolution', [status(thm)],
% 0.53/0.84 [zip_derived_cl5, zip_derived_cl1])).
% 0.53/0.84 thf(between_substitution3, axiom,
% 0.53/0.84 (( ~( equalish @ X @ Y ) ) | ( ~( between @ W @ Z @ X ) ) |
% 0.53/0.84 ( between @ W @ Z @ Y ))).
% 0.53/0.84 thf(zip_derived_cl6, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.84 (~ (equalish @ X0 @ X1)
% 0.53/0.84 | ~ (between @ X2 @ X3 @ X0)
% 0.53/0.84 | (between @ X2 @ X3 @ X1))),
% 0.53/0.84 inference('cnf', [status(esa)], [between_substitution3])).
% 0.53/0.84 thf(zip_derived_cl9, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.53/0.84 ( (between @ X4 @ X3 @ (extension @ X2 @ X1 @ X0 @ X0))
% 0.53/0.84 | ~ (between @ X4 @ X3 @ X1))),
% 0.53/0.84 inference('dp-resolution', [status(thm)],
% 0.53/0.84 [zip_derived_cl8, zip_derived_cl6])).
% 0.53/0.84 thf(zip_derived_cl4, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.84 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 0.53/0.84 inference('cnf', [status(esa)], [segment_construction1])).
% 0.53/0.84 thf(zip_derived_cl0, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.84 (~ (between @ X0 @ X1 @ X2)
% 0.53/0.84 | ~ (between @ X1 @ X3 @ X2)
% 0.53/0.84 | (between @ X0 @ X1 @ X3))),
% 0.53/0.84 inference('cnf', [status(esa)], [transitivity_for_betweeness])).
% 0.53/0.84 thf(zip_derived_cl10, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.53/0.84 (~ (between @ X2 @ X4 @ (extension @ X3 @ X2 @ X1 @ X0))
% 0.53/0.84 | (between @ X3 @ X2 @ X4))),
% 0.53/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 0.53/0.84 thf(zip_derived_cl26, plain,
% 0.53/0.84 (![X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.84 (~ (between @ X1 @ X3 @ X1) | (between @ X2 @ X1 @ X3))),
% 0.53/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl10])).
% 0.53/0.84 thf(zip_derived_cl29, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i]: (between @ X1 @ X0 @ X0)),
% 0.53/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl26])).
% 0.53/0.84 thf(zip_derived_cl29, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i]: (between @ X1 @ X0 @ X0)),
% 0.53/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl26])).
% 0.53/0.84 thf(outer_pasch1, axiom,
% 0.53/0.84 (( ~( between @ X @ W @ V ) ) | ( ~( between @ Y @ V @ Z ) ) |
% 0.53/0.84 ( between @ X @ ( outer_pasch @ W @ X @ Y @ Z @ V ) @ Y ))).
% 0.53/0.84 thf(zip_derived_cl2, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.53/0.84 (~ (between @ X0 @ X1 @ X2)
% 0.53/0.84 | ~ (between @ X3 @ X2 @ X4)
% 0.53/0.84 | (between @ X0 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2) @ X3))),
% 0.53/0.84 inference('cnf', [status(esa)], [outer_pasch1])).
% 0.53/0.84 thf(zip_derived_cl10, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.53/0.84 (~ (between @ X2 @ X4 @ (extension @ X3 @ X2 @ X1 @ X0))
% 0.53/0.84 | (between @ X3 @ X2 @ X4))),
% 0.53/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 0.53/0.84 thf(zip_derived_cl21, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.53/0.84 (~ (between @ (extension @ X3 @ X2 @ X1 @ X0) @ X4 @ X5)
% 0.53/0.84 | ~ (between @ X2 @ X6 @ X4)
% 0.53/0.84 | (between @ X3 @ X2 @
% 0.53/0.84 (outer_pasch @ X6 @ X2 @ (extension @ X3 @ X2 @ X1 @ X0) @ X5 @
% 0.53/0.84 X4)))),
% 0.53/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl10])).
% 0.53/0.84 thf(outer_pasch2, axiom,
% 0.53/0.84 (( ~( between @ X @ W @ V ) ) | ( ~( between @ Y @ V @ Z ) ) |
% 0.53/0.84 ( between @ Z @ W @ ( outer_pasch @ W @ X @ Y @ Z @ V ) ))).
% 0.53/0.84 thf(zip_derived_cl3, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.53/0.84 (~ (between @ X0 @ X1 @ X2)
% 0.53/0.84 | ~ (between @ X3 @ X2 @ X4)
% 0.53/0.84 | (between @ X4 @ X1 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2)))),
% 0.53/0.84 inference('cnf', [status(esa)], [outer_pasch2])).
% 0.53/0.84 thf(zip_derived_cl0, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.84 (~ (between @ X0 @ X1 @ X2)
% 0.53/0.84 | ~ (between @ X1 @ X3 @ X2)
% 0.53/0.84 | (between @ X0 @ X1 @ X3))),
% 0.53/0.84 inference('cnf', [status(esa)], [transitivity_for_betweeness])).
% 0.53/0.84 thf(zip_derived_cl22, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.53/0.84 (~ (between @ X2 @ X0 @ X1)
% 0.53/0.84 | ~ (between @ X3 @ X4 @ X0)
% 0.53/0.84 | ~ (between @ X4 @ X5 @ (outer_pasch @ X4 @ X3 @ X2 @ X1 @ X0))
% 0.53/0.84 | (between @ X1 @ X4 @ X5))),
% 0.53/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.53/0.84 thf(zip_derived_cl46, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.53/0.84 (~ (between @ X4 @ X5 @ X0)
% 0.53/0.84 | ~ (between @ (extension @ X5 @ X4 @ X3 @ X2) @ X0 @ X1)
% 0.53/0.84 | ~ (between @ (extension @ X5 @ X4 @ X3 @ X2) @ X0 @ X1)
% 0.53/0.84 | ~ (between @ X4 @ X5 @ X0)
% 0.53/0.84 | (between @ X1 @ X5 @ X4))),
% 0.53/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl22])).
% 0.53/0.84 thf(zip_derived_cl50, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.53/0.84 ( (between @ X1 @ X5 @ X4)
% 0.53/0.84 | ~ (between @ (extension @ X5 @ X4 @ X3 @ X2) @ X0 @ X1)
% 0.53/0.84 | ~ (between @ X4 @ X5 @ X0))),
% 0.53/0.84 inference('simplify', [status(thm)], [zip_derived_cl46])).
% 0.53/0.84 thf(zip_derived_cl55, plain,
% 0.53/0.84 (![X0 : $i, X3 : $i, X4 : $i]:
% 0.53/0.84 ( (between @ X0 @ X4 @ X3) | ~ (between @ X3 @ X4 @ X0))),
% 0.53/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl50])).
% 0.53/0.84 thf(zip_derived_cl62, plain,
% 0.53/0.84 (![X0 : $i, X1 : $i]: (between @ X0 @ X0 @ X1)),
% 0.53/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl55])).
% 0.53/0.84 thf(zip_derived_cl76, plain, ($false),
% 0.53/0.84 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl62])).
% 0.53/0.84
% 0.53/0.84 % SZS output end Refutation
% 0.53/0.84
% 0.53/0.84
% 0.53/0.84 % Terminating...
% 0.55/0.89 % Runner terminated.
% 1.67/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------