%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO010-1 : 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.OM20m36bWF true
% Computer : n028.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 04:33:35 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.86s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO010-1 : 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.OM20m36bWF true
% 0.13/0.35 % Computer : n028.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 17:32:38 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
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.55/0.67 % Total configuration time : 435
% 0.55/0.67 % Estimated wc time : 1092
% 0.55/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.86 % Solved by fo/fo6_bce.sh.
% 0.58/0.86 % BCE start: 26
% 0.58/0.86 % BCE eliminated: 0
% 0.58/0.86 % PE start: 26
% 0.58/0.86 logic: eq
% 0.58/0.86 % PE eliminated: 0
% 0.58/0.86 % done 96 iterations in 0.099s
% 0.58/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.86 % SZS output start Refutation
% 0.58/0.86 thf(between_type, type, between: $i > $i > $i > $o).
% 0.58/0.86 thf(a_type, type, a: $i).
% 0.58/0.86 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 0.58/0.86 thf(colinear_type, type, colinear: $i > $i > $i > $o).
% 0.58/0.86 thf(extension_type, type, extension: $i > $i > $i > $i > $i).
% 0.58/0.86 thf(c_type, type, c: $i).
% 0.58/0.86 thf(outer_pasch_type, type, outer_pasch: $i > $i > $i > $i > $i > $i).
% 0.58/0.86 thf(b_type, type, b: $i).
% 0.58/0.86 thf(colinearity4, axiom,
% 0.58/0.86 (( ~( between @ X @ Z @ Y ) ) | ( colinear @ X @ Y @ Z ))).
% 0.58/0.86 thf(zip_derived_cl23, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X2 @ X1))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity4])).
% 0.58/0.86 thf(colinearity3, axiom,
% 0.58/0.86 (( ~( between @ Y @ X @ Z ) ) | ( colinear @ X @ Y @ Z ))).
% 0.58/0.86 thf(zip_derived_cl22, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X0 @ X2))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity3])).
% 0.58/0.86 thf(zip_derived_cl22, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X0 @ X2))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity3])).
% 0.58/0.86 thf(zip_derived_cl23, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X2 @ X1))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity4])).
% 0.58/0.86 thf(colinearity2, axiom,
% 0.58/0.86 (( ~( between @ X @ Y @ Z ) ) | ( colinear @ X @ Y @ Z ))).
% 0.58/0.86 thf(zip_derived_cl21, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity2])).
% 0.58/0.86 thf(prove_colinear_in_all_orders, conjecture,
% 0.58/0.86 (~( ( ~( colinear @ c @ b @ a ) ) | ( ~( colinear @ c @ a @ b ) ) |
% 0.58/0.86 ( ~( colinear @ b @ c @ a ) ) | ( ~( colinear @ b @ a @ c ) ) |
% 0.58/0.86 ( ~( colinear @ a @ c @ b ) ) ))).
% 0.58/0.86 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.86 (( ~( colinear @ c @ b @ a ) ) | ( ~( colinear @ c @ a @ b ) ) |
% 0.58/0.86 ( ~( colinear @ b @ c @ a ) ) | ( ~( colinear @ b @ a @ c ) ) |
% 0.58/0.86 ( ~( colinear @ a @ c @ b ) )),
% 0.58/0.86 inference('cnf.neg', [status(esa)], [prove_colinear_in_all_orders])).
% 0.58/0.86 thf(zip_derived_cl25, plain,
% 0.58/0.86 ((~ (colinear @ c @ b @ a)
% 0.58/0.86 | ~ (colinear @ c @ a @ b)
% 0.58/0.86 | ~ (colinear @ b @ c @ a)
% 0.58/0.86 | ~ (colinear @ b @ a @ c)
% 0.58/0.86 | ~ (colinear @ a @ c @ b))),
% 0.58/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.86 thf(zip_derived_cl195, plain,
% 0.58/0.86 ((~ (between @ c @ b @ a)
% 0.58/0.86 | ~ (colinear @ c @ a @ b)
% 0.58/0.86 | ~ (colinear @ b @ c @ a)
% 0.58/0.86 | ~ (colinear @ b @ a @ c)
% 0.58/0.86 | ~ (colinear @ a @ c @ b))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl25])).
% 0.58/0.86 thf(zip_derived_cl21, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity2])).
% 0.58/0.86 thf(zip_derived_cl23, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X2 @ X1))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity4])).
% 0.58/0.86 thf(abc_colinear, axiom, (colinear @ a @ b @ c)).
% 0.58/0.86 thf(zip_derived_cl24, plain, ( (colinear @ a @ b @ c)),
% 0.58/0.86 inference('cnf', [status(esa)], [abc_colinear])).
% 0.58/0.86 thf(colinearity1, axiom,
% 0.58/0.86 (( ~( colinear @ X @ Y @ Z ) ) | ( between @ X @ Y @ Z ) |
% 0.58/0.86 ( between @ Y @ X @ Z ) | ( between @ X @ Z @ Y ))).
% 0.58/0.86 thf(zip_derived_cl20, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (colinear @ X0 @ X1 @ X2)
% 0.58/0.86 | (between @ X0 @ X1 @ X2)
% 0.58/0.86 | (between @ X1 @ X0 @ X2)
% 0.58/0.86 | (between @ X0 @ X2 @ X1))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity1])).
% 0.58/0.86 thf(zip_derived_cl301, plain,
% 0.58/0.86 (( (between @ a @ b @ c)
% 0.58/0.86 | (between @ b @ a @ c)
% 0.58/0.86 | (between @ a @ c @ b))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl20])).
% 0.58/0.86 thf(segment_construction2, axiom,
% 0.58/0.86 (equidistant @ Y @ ( extension @ X @ Y @ W @ V ) @ W @ V)).
% 0.58/0.86 thf(zip_derived_cl13, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.86 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 0.58/0.86 inference('cnf', [status(esa)], [segment_construction2])).
% 0.58/0.86 thf(identity_for_equidistance, axiom,
% 0.58/0.86 (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( ( X ) = ( Y ) ))).
% 0.58/0.86 thf(zip_derived_cl4, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 0.58/0.86 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 0.58/0.86 thf(zip_derived_cl225, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl4])).
% 0.58/0.86 thf(segment_construction1, axiom,
% 0.58/0.86 (between @ X @ Y @ ( extension @ X @ Y @ W @ V ))).
% 0.58/0.86 thf(zip_derived_cl12, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.86 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 0.58/0.86 inference('cnf', [status(esa)], [segment_construction1])).
% 0.58/0.86 thf(zip_derived_cl227, plain,
% 0.58/0.86 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 0.58/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl225, zip_derived_cl12])).
% 0.58/0.86 thf(outer_pasch1, axiom,
% 0.58/0.86 (( ~( between @ X @ W @ V ) ) | ( ~( between @ Y @ V @ Z ) ) |
% 0.58/0.86 ( between @ X @ ( outer_pasch @ W @ X @ Y @ Z @ V ) @ Y ))).
% 0.58/0.86 thf(zip_derived_cl6, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2)
% 0.58/0.86 | ~ (between @ X3 @ X2 @ X4)
% 0.58/0.86 | (between @ X0 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2) @ X3))),
% 0.58/0.86 inference('cnf', [status(esa)], [outer_pasch1])).
% 0.58/0.86 thf(identity_for_betweeness, axiom,
% 0.58/0.86 (( ~( between @ X @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 0.58/0.86 thf(zip_derived_cl0, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 0.58/0.86 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 0.58/0.86 thf(zip_derived_cl209, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2)
% 0.58/0.86 | ~ (between @ X0 @ X3 @ X1)
% 0.58/0.86 | ((X0) = (outer_pasch @ X3 @ X0 @ X0 @ X2 @ X1)))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 0.58/0.86 thf(outer_pasch2, axiom,
% 0.58/0.86 (( ~( between @ X @ W @ V ) ) | ( ~( between @ Y @ V @ Z ) ) |
% 0.58/0.86 ( between @ Z @ W @ ( outer_pasch @ W @ X @ Y @ Z @ V ) ))).
% 0.58/0.86 thf(zip_derived_cl7, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2)
% 0.58/0.86 | ~ (between @ X3 @ X2 @ X4)
% 0.58/0.86 | (between @ X4 @ X1 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2)))),
% 0.58/0.86 inference('cnf', [status(esa)], [outer_pasch2])).
% 0.58/0.86 thf(zip_derived_cl331, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X3 @ X1)
% 0.58/0.86 | ~ (between @ X0 @ X1 @ X2)
% 0.58/0.86 | ~ (between @ X0 @ X3 @ X1)
% 0.58/0.86 | ~ (between @ X0 @ X1 @ X2)
% 0.58/0.86 | (between @ X2 @ X3 @ X0))),
% 0.58/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl7])).
% 0.58/0.86 thf(zip_derived_cl333, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.86 ( (between @ X2 @ X3 @ X0)
% 0.58/0.86 | ~ (between @ X0 @ X1 @ X2)
% 0.58/0.86 | ~ (between @ X0 @ X3 @ X1))),
% 0.58/0.86 inference('simplify', [status(thm)], [zip_derived_cl331])).
% 0.58/0.86 thf(zip_derived_cl345, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 ( (between @ X0 @ X2 @ X1) | ~ (between @ X1 @ X2 @ X0))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl227, zip_derived_cl333])).
% 0.58/0.86 thf(zip_derived_cl386, plain,
% 0.58/0.86 (( (between @ a @ c @ b)
% 0.58/0.86 | (between @ a @ b @ c)
% 0.58/0.86 | (between @ c @ a @ b))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl301, zip_derived_cl345])).
% 0.58/0.86 thf(zip_derived_cl23, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X2 @ X1))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity4])).
% 0.58/0.86 thf(zip_derived_cl25, plain,
% 0.58/0.86 ((~ (colinear @ c @ b @ a)
% 0.58/0.86 | ~ (colinear @ c @ a @ b)
% 0.58/0.86 | ~ (colinear @ b @ c @ a)
% 0.58/0.86 | ~ (colinear @ b @ a @ c)
% 0.58/0.86 | ~ (colinear @ a @ c @ b))),
% 0.58/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.86 thf(zip_derived_cl204, plain,
% 0.58/0.86 ((~ (between @ c @ a @ b)
% 0.58/0.86 | ~ (colinear @ c @ a @ b)
% 0.58/0.86 | ~ (colinear @ b @ c @ a)
% 0.58/0.86 | ~ (colinear @ b @ a @ c)
% 0.58/0.86 | ~ (colinear @ a @ c @ b))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl25])).
% 0.58/0.86 thf(zip_derived_cl21, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity2])).
% 0.58/0.86 thf(zip_derived_cl216, plain,
% 0.58/0.86 ((~ (colinear @ a @ c @ b)
% 0.58/0.86 | ~ (colinear @ b @ a @ c)
% 0.58/0.86 | ~ (colinear @ b @ c @ a)
% 0.58/0.86 | ~ (between @ c @ a @ b))),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl204, zip_derived_cl21])).
% 0.58/0.86 thf(zip_derived_cl22, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X0 @ X2))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity3])).
% 0.58/0.86 thf(zip_derived_cl217, plain,
% 0.58/0.86 ((~ (between @ c @ a @ b)
% 0.58/0.86 | ~ (colinear @ b @ c @ a)
% 0.58/0.86 | ~ (colinear @ b @ a @ c))),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl216, zip_derived_cl22])).
% 0.58/0.86 thf(zip_derived_cl394, plain,
% 0.58/0.86 (( (between @ a @ b @ c)
% 0.58/0.86 | (between @ a @ c @ b)
% 0.58/0.86 | ~ (colinear @ b @ c @ a)
% 0.58/0.86 | ~ (colinear @ b @ a @ c))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl386, zip_derived_cl217])).
% 0.58/0.86 thf(zip_derived_cl399, plain,
% 0.58/0.86 ((~ (between @ b @ a @ c)
% 0.58/0.86 | (between @ a @ b @ c)
% 0.58/0.86 | (between @ a @ c @ b)
% 0.58/0.86 | ~ (colinear @ b @ a @ c))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl394])).
% 0.58/0.86 thf(zip_derived_cl301, plain,
% 0.58/0.86 (( (between @ a @ b @ c)
% 0.58/0.86 | (between @ b @ a @ c)
% 0.58/0.86 | (between @ a @ c @ b))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl20])).
% 0.58/0.86 thf(zip_derived_cl403, plain,
% 0.58/0.86 ((~ (colinear @ b @ a @ c)
% 0.58/0.86 | (between @ a @ c @ b)
% 0.58/0.86 | (between @ a @ b @ c))),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl399, zip_derived_cl301])).
% 0.58/0.86 thf(zip_derived_cl404, plain,
% 0.58/0.86 ((~ (between @ b @ a @ c)
% 0.58/0.86 | (between @ a @ c @ b)
% 0.58/0.86 | (between @ a @ b @ c))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl403])).
% 0.58/0.86 thf(zip_derived_cl301, plain,
% 0.58/0.86 (( (between @ a @ b @ c)
% 0.58/0.86 | (between @ b @ a @ c)
% 0.58/0.86 | (between @ a @ c @ b))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl20])).
% 0.58/0.86 thf(zip_derived_cl407, plain,
% 0.58/0.86 (( (between @ a @ b @ c) | (between @ a @ c @ b))),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl404, zip_derived_cl301])).
% 0.58/0.86 thf(zip_derived_cl345, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 ( (between @ X0 @ X2 @ X1) | ~ (between @ X1 @ X2 @ X0))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl227, zip_derived_cl333])).
% 0.58/0.86 thf(zip_derived_cl412, plain,
% 0.58/0.86 (( (between @ a @ b @ c) | (between @ b @ c @ a))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl407, zip_derived_cl345])).
% 0.58/0.86 thf(zip_derived_cl386, plain,
% 0.58/0.86 (( (between @ a @ c @ b)
% 0.58/0.86 | (between @ a @ b @ c)
% 0.58/0.86 | (between @ c @ a @ b))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl301, zip_derived_cl345])).
% 0.58/0.86 thf(zip_derived_cl22, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X0 @ X2))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity3])).
% 0.58/0.86 thf(zip_derived_cl22, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X0 @ X2))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity3])).
% 0.58/0.86 thf(zip_derived_cl25, plain,
% 0.58/0.86 ((~ (colinear @ c @ b @ a)
% 0.58/0.86 | ~ (colinear @ c @ a @ b)
% 0.58/0.86 | ~ (colinear @ b @ c @ a)
% 0.58/0.86 | ~ (colinear @ b @ a @ c)
% 0.58/0.86 | ~ (colinear @ a @ c @ b))),
% 0.58/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.86 thf(zip_derived_cl196, plain,
% 0.58/0.86 ((~ (between @ b @ c @ a)
% 0.58/0.86 | ~ (colinear @ c @ a @ b)
% 0.58/0.86 | ~ (colinear @ b @ c @ a)
% 0.58/0.86 | ~ (colinear @ b @ a @ c)
% 0.58/0.86 | ~ (colinear @ a @ c @ b))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl25])).
% 0.58/0.86 thf(zip_derived_cl21, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity2])).
% 0.58/0.86 thf(zip_derived_cl197, plain,
% 0.58/0.86 ((~ (colinear @ a @ c @ b)
% 0.58/0.86 | ~ (colinear @ b @ a @ c)
% 0.58/0.86 | ~ (colinear @ c @ a @ b)
% 0.58/0.86 | ~ (between @ b @ c @ a))),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl196, zip_derived_cl21])).
% 0.58/0.86 thf(zip_derived_cl199, plain,
% 0.58/0.86 ((~ (between @ c @ a @ b)
% 0.58/0.86 | ~ (colinear @ b @ a @ c)
% 0.58/0.86 | ~ (colinear @ c @ a @ b)
% 0.58/0.86 | ~ (between @ b @ c @ a))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl197])).
% 0.58/0.86 thf(zip_derived_cl23, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X2 @ X1))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity4])).
% 0.58/0.86 thf(zip_derived_cl213, plain,
% 0.58/0.86 ((~ (between @ b @ c @ a)
% 0.58/0.86 | ~ (colinear @ c @ a @ b)
% 0.58/0.86 | ~ (between @ c @ a @ b))),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl199, zip_derived_cl23])).
% 0.58/0.86 thf(zip_derived_cl21, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity2])).
% 0.58/0.86 thf(zip_derived_cl214, plain,
% 0.58/0.86 ((~ (between @ c @ a @ b) | ~ (between @ b @ c @ a))),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl213, zip_derived_cl21])).
% 0.58/0.86 thf(zip_derived_cl393, plain,
% 0.58/0.86 (( (between @ a @ b @ c)
% 0.58/0.86 | (between @ a @ c @ b)
% 0.58/0.86 | ~ (between @ b @ c @ a))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl386, zip_derived_cl214])).
% 0.58/0.86 thf(zip_derived_cl345, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 ( (between @ X0 @ X2 @ X1) | ~ (between @ X1 @ X2 @ X0))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl227, zip_derived_cl333])).
% 0.58/0.86 thf(zip_derived_cl395, plain,
% 0.58/0.86 ((~ (between @ b @ c @ a) | (between @ a @ c @ b))),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl393, zip_derived_cl345])).
% 0.58/0.86 thf(zip_derived_cl21, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity2])).
% 0.58/0.86 thf(zip_derived_cl197, plain,
% 0.58/0.86 ((~ (colinear @ a @ c @ b)
% 0.58/0.86 | ~ (colinear @ b @ a @ c)
% 0.58/0.86 | ~ (colinear @ c @ a @ b)
% 0.58/0.86 | ~ (between @ b @ c @ a))),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl196, zip_derived_cl21])).
% 0.58/0.86 thf(zip_derived_cl198, plain,
% 0.58/0.86 ((~ (between @ a @ c @ b)
% 0.58/0.86 | ~ (colinear @ b @ a @ c)
% 0.58/0.86 | ~ (colinear @ c @ a @ b)
% 0.58/0.86 | ~ (between @ b @ c @ a))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl197])).
% 0.58/0.86 thf(zip_derived_cl23, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X2 @ X1))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity4])).
% 0.58/0.86 thf(zip_derived_cl207, plain,
% 0.58/0.86 ((~ (between @ b @ c @ a)
% 0.58/0.86 | ~ (colinear @ c @ a @ b)
% 0.58/0.86 | ~ (between @ a @ c @ b))),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl198, zip_derived_cl23])).
% 0.58/0.86 thf(zip_derived_cl22, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X0 @ X2))),
% 0.58/0.86 inference('cnf', [status(esa)], [colinearity3])).
% 0.58/0.86 thf(zip_derived_cl208, plain,
% 0.58/0.86 ((~ (between @ a @ c @ b) | ~ (between @ b @ c @ a))),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl207, zip_derived_cl22])).
% 0.58/0.86 thf(zip_derived_cl396, plain, (~ (between @ b @ c @ a)),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl395, zip_derived_cl208])).
% 0.58/0.86 thf(zip_derived_cl416, plain, ( (between @ a @ b @ c)),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl412, zip_derived_cl396])).
% 0.58/0.86 thf(zip_derived_cl345, plain,
% 0.58/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.86 ( (between @ X0 @ X2 @ X1) | ~ (between @ X1 @ X2 @ X0))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl227, zip_derived_cl333])).
% 0.58/0.86 thf(zip_derived_cl421, plain, ( (between @ c @ b @ a)),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl416, zip_derived_cl345])).
% 0.58/0.86 thf(zip_derived_cl425, plain,
% 0.58/0.86 ((~ (colinear @ c @ a @ b)
% 0.58/0.86 | ~ (colinear @ b @ c @ a)
% 0.58/0.86 | ~ (colinear @ b @ a @ c)
% 0.58/0.86 | ~ (colinear @ a @ c @ b))),
% 0.58/0.86 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl421])).
% 0.58/0.86 thf(zip_derived_cl441, plain,
% 0.58/0.86 ((~ (between @ c @ b @ a)
% 0.58/0.86 | ~ (colinear @ b @ c @ a)
% 0.58/0.86 | ~ (colinear @ b @ a @ c)
% 0.58/0.86 | ~ (colinear @ a @ c @ b))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl425])).
% 0.58/0.86 thf(zip_derived_cl421, plain, ( (between @ c @ b @ a)),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl416, zip_derived_cl345])).
% 0.58/0.86 thf(zip_derived_cl442, plain,
% 0.58/0.86 ((~ (colinear @ b @ c @ a)
% 0.58/0.86 | ~ (colinear @ b @ a @ c)
% 0.58/0.86 | ~ (colinear @ a @ c @ b))),
% 0.58/0.86 inference('demod', [status(thm)], [zip_derived_cl441, zip_derived_cl421])).
% 0.58/0.86 thf(zip_derived_cl455, plain,
% 0.58/0.86 ((~ (between @ c @ b @ a)
% 0.58/0.86 | ~ (colinear @ b @ a @ c)
% 0.58/0.86 | ~ (colinear @ a @ c @ b))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl442])).
% 0.58/0.86 thf(zip_derived_cl421, plain, ( (between @ c @ b @ a)),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl416, zip_derived_cl345])).
% 0.58/0.86 thf(zip_derived_cl458, plain,
% 0.58/0.86 ((~ (colinear @ b @ a @ c) | ~ (colinear @ a @ c @ b))),
% 0.58/0.86 inference('demod', [status(thm)], [zip_derived_cl455, zip_derived_cl421])).
% 0.58/0.86 thf(zip_derived_cl460, plain,
% 0.58/0.86 ((~ (between @ a @ b @ c) | ~ (colinear @ a @ c @ b))),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl458])).
% 0.58/0.86 thf(zip_derived_cl416, plain, ( (between @ a @ b @ c)),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl412, zip_derived_cl396])).
% 0.58/0.86 thf(zip_derived_cl462, plain, (~ (colinear @ a @ c @ b)),
% 0.58/0.86 inference('demod', [status(thm)], [zip_derived_cl460, zip_derived_cl416])).
% 0.58/0.86 thf(zip_derived_cl466, plain, (~ (between @ a @ b @ c)),
% 0.58/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl462])).
% 0.58/0.86 thf(zip_derived_cl416, plain, ( (between @ a @ b @ c)),
% 0.58/0.86 inference('clc', [status(thm)], [zip_derived_cl412, zip_derived_cl396])).
% 0.58/0.86 thf(zip_derived_cl467, plain, ($false),
% 0.58/0.86 inference('demod', [status(thm)], [zip_derived_cl466, zip_derived_cl416])).
% 0.58/0.86
% 0.58/0.86 % SZS output end Refutation
% 0.58/0.86
% 0.58/0.86
% 0.58/0.86 % Terminating...
% 0.58/0.91 % Runner terminated.
% 0.58/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------