%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO007-1 : TPTP v9.2.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zQtGfh4AXm true
% Computer : n015.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 04:33:34 PM UTC 2025
% Result : Unsatisfiable 4.63s 1.29s
% Output : Refutation 4.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO007-1 : TPTP v9.2.0. Bugfixed v2.5.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zQtGfh4AXm true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 17:40:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.56/0.67 % Total configuration time : 435
% 0.56/0.67 % Estimated wc time : 1092
% 0.56/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.63/1.29 % Solved by fo/fo3_bce.sh.
% 4.63/1.29 % BCE start: 25
% 4.63/1.29 % BCE eliminated: 0
% 4.63/1.29 % PE start: 25
% 4.63/1.29 logic: eq
% 4.63/1.29 % PE eliminated: 0
% 4.63/1.29 % done 318 iterations in 0.490s
% 4.63/1.29 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.63/1.29 % SZS output start Refutation
% 4.63/1.29 thf(between_type, type, between: $i > $i > $i > $o).
% 4.63/1.29 thf(a_type, type, a: $i).
% 4.63/1.29 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 4.63/1.29 thf(extension_type, type, extension: $i > $i > $i > $i > $i).
% 4.63/1.29 thf(d_type, type, d: $i).
% 4.63/1.29 thf(c_type, type, c: $i).
% 4.63/1.29 thf(outer_pasch_type, type, outer_pasch: $i > $i > $i > $i > $i > $i).
% 4.63/1.29 thf(e_type, type, e: $i).
% 4.63/1.29 thf(prove_d_between_e_and_a, conjecture, (between @ e @ d @ a)).
% 4.63/1.29 thf(zf_stmt_0, negated_conjecture, (~( between @ e @ d @ a )),
% 4.63/1.29 inference('cnf.neg', [status(esa)], [prove_d_between_e_and_a])).
% 4.63/1.29 thf(zip_derived_cl24, plain, (~ (between @ e @ d @ a)),
% 4.63/1.29 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.63/1.29 thf(a_between_a_and_e, axiom, (between @ e @ a @ c)).
% 4.63/1.29 thf(zip_derived_cl22, plain, ( (between @ e @ a @ c)),
% 4.63/1.29 inference('cnf', [status(esa)], [a_between_a_and_e])).
% 4.63/1.29 thf(segment_construction2, axiom,
% 4.63/1.29 (equidistant @ Y @ ( extension @ X @ Y @ W @ V ) @ W @ V)).
% 4.63/1.29 thf(zip_derived_cl13, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.29 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 4.63/1.29 inference('cnf', [status(esa)], [segment_construction2])).
% 4.63/1.29 thf(identity_for_equidistance, axiom,
% 4.63/1.29 (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( ( X ) = ( Y ) ))).
% 4.63/1.29 thf(zip_derived_cl4, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.63/1.29 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 4.63/1.29 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 4.63/1.29 thf(zip_derived_cl181, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl4])).
% 4.63/1.29 thf(segment_construction1, axiom,
% 4.63/1.29 (between @ X @ Y @ ( extension @ X @ Y @ W @ V ))).
% 4.63/1.29 thf(zip_derived_cl12, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.29 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 4.63/1.29 inference('cnf', [status(esa)], [segment_construction1])).
% 4.63/1.29 thf(zip_derived_cl196, plain,
% 4.63/1.29 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 4.63/1.29 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl12])).
% 4.63/1.29 thf(outer_pasch1, axiom,
% 4.63/1.29 (( ~( between @ X @ W @ V ) ) | ( ~( between @ Y @ V @ Z ) ) |
% 4.63/1.29 ( between @ X @ ( outer_pasch @ W @ X @ Y @ Z @ V ) @ Y ))).
% 4.63/1.29 thf(zip_derived_cl6, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.63/1.29 (~ (between @ X0 @ X1 @ X2)
% 4.63/1.29 | ~ (between @ X3 @ X2 @ X4)
% 4.63/1.29 | (between @ X0 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2) @ X3))),
% 4.63/1.29 inference('cnf', [status(esa)], [outer_pasch1])).
% 4.63/1.29 thf(identity_for_betweeness, axiom,
% 4.63/1.29 (( ~( between @ X @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 4.63/1.29 thf(zip_derived_cl0, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 4.63/1.29 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 4.63/1.29 thf(zip_derived_cl184, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.29 (~ (between @ X0 @ X1 @ X2)
% 4.63/1.29 | ~ (between @ X0 @ X3 @ X1)
% 4.63/1.29 | ((X0) = (outer_pasch @ X3 @ X0 @ X0 @ X2 @ X1)))),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 4.63/1.29 thf(outer_pasch2, axiom,
% 4.63/1.29 (( ~( between @ X @ W @ V ) ) | ( ~( between @ Y @ V @ Z ) ) |
% 4.63/1.29 ( between @ Z @ W @ ( outer_pasch @ W @ X @ Y @ Z @ V ) ))).
% 4.63/1.29 thf(zip_derived_cl7, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.63/1.29 (~ (between @ X0 @ X1 @ X2)
% 4.63/1.29 | ~ (between @ X3 @ X2 @ X4)
% 4.63/1.29 | (between @ X4 @ X1 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2)))),
% 4.63/1.29 inference('cnf', [status(esa)], [outer_pasch2])).
% 4.63/1.29 thf(zip_derived_cl345, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.29 ( (between @ X2 @ X3 @ X0)
% 4.63/1.29 | ~ (between @ X0 @ X3 @ X1)
% 4.63/1.29 | ~ (between @ X0 @ X1 @ X2)
% 4.63/1.29 | ~ (between @ X0 @ X1 @ X2)
% 4.63/1.29 | ~ (between @ X0 @ X3 @ X1))),
% 4.63/1.29 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl7])).
% 4.63/1.29 thf(zip_derived_cl347, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.29 (~ (between @ X0 @ X1 @ X2)
% 4.63/1.29 | ~ (between @ X0 @ X3 @ X1)
% 4.63/1.29 | (between @ X2 @ X3 @ X0))),
% 4.63/1.29 inference('simplify', [status(thm)], [zip_derived_cl345])).
% 4.63/1.29 thf(zip_derived_cl363, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.63/1.29 ( (between @ X0 @ X2 @ X1) | ~ (between @ X1 @ X2 @ X0))),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl347])).
% 4.63/1.29 thf(zip_derived_cl433, plain, ( (between @ c @ a @ e)),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl363])).
% 4.63/1.29 thf(a_between_a_and_c, axiom, (between @ d @ a @ c)).
% 4.63/1.29 thf(zip_derived_cl21, plain, ( (between @ d @ a @ c)),
% 4.63/1.29 inference('cnf', [status(esa)], [a_between_a_and_c])).
% 4.63/1.29 thf(zip_derived_cl347, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.29 (~ (between @ X0 @ X1 @ X2)
% 4.63/1.29 | ~ (between @ X0 @ X3 @ X1)
% 4.63/1.29 | (between @ X2 @ X3 @ X0))),
% 4.63/1.29 inference('simplify', [status(thm)], [zip_derived_cl345])).
% 4.63/1.29 thf(zip_derived_cl372, plain,
% 4.63/1.29 (![X0 : $i]: ( (between @ c @ X0 @ d) | ~ (between @ d @ X0 @ a))),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl347])).
% 4.63/1.29 thf(zip_derived_cl196, plain,
% 4.63/1.29 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 4.63/1.29 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl12])).
% 4.63/1.29 thf(zip_derived_cl378, plain, ( (between @ c @ a @ d)),
% 4.63/1.29 inference('sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl196])).
% 4.63/1.29 thf(connectivity_for_betweeness, axiom,
% 4.63/1.29 (( ~( between @ X @ Y @ Z ) ) | ( ~( between @ X @ Y @ V ) ) |
% 4.63/1.29 ( ( X ) = ( Y ) ) | ( between @ X @ Z @ V ) | ( between @ X @ V @ Z ))).
% 4.63/1.29 thf(zip_derived_cl2, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.29 (~ (between @ X0 @ X1 @ X2)
% 4.63/1.29 | ~ (between @ X0 @ X1 @ X3)
% 4.63/1.29 | ((X0) = (X1))
% 4.63/1.29 | (between @ X0 @ X2 @ X3)
% 4.63/1.29 | (between @ X0 @ X3 @ X2))),
% 4.63/1.29 inference('cnf', [status(esa)], [connectivity_for_betweeness])).
% 4.63/1.29 thf(zip_derived_cl387, plain,
% 4.63/1.29 (![X0 : $i]:
% 4.63/1.29 ( (between @ c @ X0 @ d)
% 4.63/1.29 | (between @ c @ d @ X0)
% 4.63/1.29 | ((c) = (a))
% 4.63/1.29 | ~ (between @ c @ a @ X0))),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl378, zip_derived_cl2])).
% 4.63/1.29 thf(a_not_c, axiom, (( a ) != ( c ))).
% 4.63/1.29 thf(zip_derived_cl20, plain, (((a) != (c))),
% 4.63/1.29 inference('cnf', [status(esa)], [a_not_c])).
% 4.63/1.29 thf(zip_derived_cl390, plain,
% 4.63/1.29 (![X0 : $i]:
% 4.63/1.29 ( (between @ c @ X0 @ d)
% 4.63/1.29 | (between @ c @ d @ X0)
% 4.63/1.29 | ~ (between @ c @ a @ X0))),
% 4.63/1.29 inference('simplify_reflect-', [status(thm)],
% 4.63/1.29 [zip_derived_cl387, zip_derived_cl20])).
% 4.63/1.29 thf(zip_derived_cl1036, plain,
% 4.63/1.29 (( (between @ c @ d @ e) | (between @ c @ e @ d))),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl433, zip_derived_cl390])).
% 4.63/1.29 thf(zip_derived_cl22, plain, ( (between @ e @ a @ c)),
% 4.63/1.29 inference('cnf', [status(esa)], [a_between_a_and_e])).
% 4.63/1.29 thf(zip_derived_cl196, plain,
% 4.63/1.29 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 4.63/1.29 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl12])).
% 4.63/1.29 thf(zip_derived_cl184, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.29 (~ (between @ X0 @ X1 @ X2)
% 4.63/1.29 | ~ (between @ X0 @ X3 @ X1)
% 4.63/1.29 | ((X0) = (outer_pasch @ X3 @ X0 @ X0 @ X2 @ X1)))),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 4.63/1.29 thf(zip_derived_cl7, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.63/1.29 (~ (between @ X0 @ X1 @ X2)
% 4.63/1.29 | ~ (between @ X3 @ X2 @ X4)
% 4.63/1.29 | (between @ X4 @ X1 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2)))),
% 4.63/1.29 inference('cnf', [status(esa)], [outer_pasch2])).
% 4.63/1.29 thf(transitivity_for_betweeness, axiom,
% 4.63/1.29 (( ~( between @ X @ Y @ V ) ) | ( ~( between @ Y @ Z @ V ) ) |
% 4.63/1.29 ( between @ X @ Y @ Z ))).
% 4.63/1.29 thf(zip_derived_cl1, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.29 (~ (between @ X0 @ X1 @ X2)
% 4.63/1.29 | ~ (between @ X1 @ X3 @ X2)
% 4.63/1.29 | (between @ X0 @ X1 @ X3))),
% 4.63/1.29 inference('cnf', [status(esa)], [transitivity_for_betweeness])).
% 4.63/1.29 thf(zip_derived_cl188, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.63/1.29 (~ (between @ X2 @ X0 @ X1)
% 4.63/1.29 | ~ (between @ X3 @ X4 @ X0)
% 4.63/1.29 | (between @ X1 @ X4 @ X5)
% 4.63/1.29 | ~ (between @ X4 @ X5 @ (outer_pasch @ X4 @ X3 @ X2 @ X1 @ X0)))),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 4.63/1.29 thf(zip_derived_cl482, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.63/1.29 (~ (between @ X3 @ X4 @ X0)
% 4.63/1.29 | ~ (between @ X0 @ X3 @ X1)
% 4.63/1.29 | ~ (between @ X0 @ X1 @ X2)
% 4.63/1.29 | (between @ X2 @ X3 @ X4)
% 4.63/1.29 | ~ (between @ X0 @ X3 @ X1)
% 4.63/1.29 | ~ (between @ X0 @ X1 @ X2))),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl184, zip_derived_cl188])).
% 4.63/1.29 thf(zip_derived_cl484, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.63/1.29 ( (between @ X2 @ X3 @ X4)
% 4.63/1.29 | ~ (between @ X0 @ X1 @ X2)
% 4.63/1.29 | ~ (between @ X0 @ X3 @ X1)
% 4.63/1.29 | ~ (between @ X3 @ X4 @ X0))),
% 4.63/1.29 inference('simplify', [status(thm)], [zip_derived_cl482])).
% 4.63/1.29 thf(zip_derived_cl1122, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.29 (~ (between @ X3 @ X2 @ X1)
% 4.63/1.29 | ~ (between @ X1 @ X3 @ X0)
% 4.63/1.29 | (between @ X0 @ X3 @ X2))),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl484])).
% 4.63/1.29 thf(zip_derived_cl1178, plain,
% 4.63/1.29 (![X0 : $i]: ( (between @ X0 @ e @ a) | ~ (between @ c @ e @ X0))),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl1122])).
% 4.63/1.29 thf(zip_derived_cl1197, plain,
% 4.63/1.29 (( (between @ c @ d @ e) | (between @ d @ e @ a))),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl1036, zip_derived_cl1178])).
% 4.63/1.29 thf(e_not_between_d_and_a, axiom, (~( between @ d @ e @ a ))).
% 4.63/1.29 thf(zip_derived_cl23, plain, (~ (between @ d @ e @ a)),
% 4.63/1.29 inference('cnf', [status(esa)], [e_not_between_d_and_a])).
% 4.63/1.29 thf(zip_derived_cl1205, plain, ( (between @ c @ d @ e)),
% 4.63/1.29 inference('clc', [status(thm)], [zip_derived_cl1197, zip_derived_cl23])).
% 4.63/1.29 thf(zip_derived_cl21, plain, ( (between @ d @ a @ c)),
% 4.63/1.29 inference('cnf', [status(esa)], [a_between_a_and_c])).
% 4.63/1.29 thf(zip_derived_cl1122, plain,
% 4.63/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.63/1.29 (~ (between @ X3 @ X2 @ X1)
% 4.63/1.29 | ~ (between @ X1 @ X3 @ X0)
% 4.63/1.29 | (between @ X0 @ X3 @ X2))),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl484])).
% 4.63/1.29 thf(zip_derived_cl1173, plain,
% 4.63/1.29 (![X0 : $i]: ( (between @ X0 @ d @ a) | ~ (between @ c @ d @ X0))),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl1122])).
% 4.63/1.29 thf(zip_derived_cl1216, plain, ( (between @ e @ d @ a)),
% 4.63/1.29 inference('sup-', [status(thm)], [zip_derived_cl1205, zip_derived_cl1173])).
% 4.63/1.29 thf(zip_derived_cl1236, plain, ($false),
% 4.63/1.29 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl1216])).
% 4.63/1.29
% 4.63/1.29 % SZS output end Refutation
% 4.63/1.29
% 4.63/1.29
% 4.63/1.29 % Terminating...
% 5.25/1.38 % Runner terminated.
% 5.25/1.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------