%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO010-3 : TPTP v9.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HDsucyjes1 true
% Computer : n022.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 0.57s 0.80s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO010-3 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HDsucyjes1 true
% 0.13/0.34 % Computer : n022.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 17:33:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.80 % Solved by fo/fo3_bce.sh.
% 0.57/0.80 % BCE start: 41
% 0.57/0.80 % BCE eliminated: 0
% 0.57/0.80 % PE start: 41
% 0.57/0.80 logic: eq
% 0.57/0.80 % PE eliminated: 0
% 0.57/0.80 % done 59 iterations in 0.062s
% 0.57/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.80 % SZS output start Refutation
% 0.57/0.80 thf(between_type, type, between: $i > $i > $i > $o).
% 0.57/0.80 thf(b_type, type, b: $i).
% 0.57/0.80 thf(colinear_type, type, colinear: $i > $i > $i > $o).
% 0.57/0.80 thf(c_type, type, c: $i).
% 0.57/0.80 thf(a_type, type, a: $i).
% 0.57/0.80 thf(c2_2, axiom, (( ~( between @ U @ W @ V ) ) | ( colinear @ U @ V @ W ))).
% 0.57/0.80 thf(zip_derived_cl37, plain,
% 0.57/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.80 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X2 @ X1))),
% 0.57/0.80 inference('cnf', [status(esa)], [c2_2])).
% 0.57/0.80 thf(prove_colinear_in_all_orders, conjecture,
% 0.57/0.80 (~( ( ~( colinear @ c @ b @ a ) ) | ( ~( colinear @ c @ a @ b ) ) |
% 0.57/0.80 ( ~( colinear @ b @ c @ a ) ) | ( ~( colinear @ b @ a @ c ) ) |
% 0.57/0.80 ( ~( colinear @ a @ c @ b ) ) ))).
% 0.57/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.80 (( ~( colinear @ c @ b @ a ) ) | ( ~( colinear @ c @ a @ b ) ) |
% 0.57/0.80 ( ~( colinear @ b @ c @ a ) ) | ( ~( colinear @ b @ a @ c ) ) |
% 0.57/0.81 ( ~( colinear @ a @ c @ b ) )),
% 0.57/0.81 inference('cnf.neg', [status(esa)], [prove_colinear_in_all_orders])).
% 0.57/0.81 thf(zip_derived_cl40, plain,
% 0.57/0.81 ((~ (colinear @ c @ b @ a)
% 0.57/0.81 | ~ (colinear @ c @ a @ b)
% 0.57/0.81 | ~ (colinear @ b @ c @ a)
% 0.57/0.81 | ~ (colinear @ b @ a @ c)
% 0.57/0.81 | ~ (colinear @ a @ c @ b))),
% 0.57/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.81 thf(zip_derived_cl350, plain,
% 0.57/0.81 ((~ (between @ c @ a @ b)
% 0.57/0.81 | ~ (colinear @ a @ c @ b)
% 0.57/0.81 | ~ (colinear @ b @ a @ c)
% 0.57/0.81 | ~ (colinear @ b @ c @ a)
% 0.57/0.81 | ~ (colinear @ c @ a @ b))),
% 0.57/0.81 inference('sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl40])).
% 0.57/0.81 thf(c2_3, axiom, (( ~( between @ V @ U @ W ) ) | ( colinear @ U @ V @ W ))).
% 0.57/0.81 thf(zip_derived_cl38, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X0 @ X2))),
% 0.57/0.81 inference('cnf', [status(esa)], [c2_3])).
% 0.57/0.81 thf(zip_derived_cl435, plain,
% 0.57/0.81 ((~ (colinear @ c @ a @ b)
% 0.57/0.81 | ~ (colinear @ b @ c @ a)
% 0.57/0.81 | ~ (colinear @ b @ a @ c)
% 0.57/0.81 | ~ (between @ c @ a @ b))),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl350, zip_derived_cl38])).
% 0.57/0.81 thf(colinearity1, axiom,
% 0.57/0.81 (( ~( between @ X @ Y @ Z ) ) | ( colinear @ X @ Y @ Z ))).
% 0.57/0.81 thf(zip_derived_cl3, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 0.57/0.81 inference('cnf', [status(esa)], [colinearity1])).
% 0.57/0.81 thf(zip_derived_cl436, plain,
% 0.57/0.81 ((~ (between @ c @ a @ b)
% 0.57/0.81 | ~ (colinear @ b @ a @ c)
% 0.57/0.81 | ~ (colinear @ b @ c @ a))),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl435, zip_derived_cl3])).
% 0.57/0.81 thf(c2_1, axiom, (( ~( between @ W @ V @ U ) ) | ( colinear @ U @ V @ W ))).
% 0.57/0.81 thf(zip_derived_cl36, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (between @ X0 @ X1 @ X2) | (colinear @ X2 @ X1 @ X0))),
% 0.57/0.81 inference('cnf', [status(esa)], [c2_1])).
% 0.57/0.81 thf(zip_derived_cl437, plain,
% 0.57/0.81 ((~ (colinear @ b @ c @ a) | ~ (between @ c @ a @ b))),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl436, zip_derived_cl36])).
% 0.57/0.81 thf(colinearity2, axiom,
% 0.57/0.81 (( ~( between @ Y @ Z @ X ) ) | ( colinear @ X @ Y @ Z ))).
% 0.57/0.81 thf(zip_derived_cl4, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (between @ X0 @ X1 @ X2) | (colinear @ X2 @ X0 @ X1))),
% 0.57/0.81 inference('cnf', [status(esa)], [colinearity2])).
% 0.57/0.81 thf(zip_derived_cl438, plain, (~ (between @ c @ a @ b)),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl437, zip_derived_cl4])).
% 0.57/0.81 thf(colinearity4, axiom,
% 0.57/0.81 (( ~( colinear @ X @ Y @ Z ) ) | ( between @ X @ Y @ Z ) |
% 0.57/0.81 ( between @ Y @ Z @ X ) | ( between @ Z @ X @ Y ))).
% 0.57/0.81 thf(zip_derived_cl6, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (colinear @ X0 @ X1 @ X2)
% 0.57/0.81 | (between @ X0 @ X1 @ X2)
% 0.57/0.81 | (between @ X1 @ X2 @ X0)
% 0.57/0.81 | (between @ X2 @ X0 @ X1))),
% 0.57/0.81 inference('cnf', [status(esa)], [colinearity4])).
% 0.57/0.81 thf(abc_colinear, axiom, (colinear @ a @ b @ c)).
% 0.57/0.81 thf(zip_derived_cl39, plain, ( (colinear @ a @ b @ c)),
% 0.57/0.81 inference('cnf', [status(esa)], [abc_colinear])).
% 0.57/0.81 thf(zip_derived_cl380, plain,
% 0.57/0.81 (( (between @ c @ a @ b)
% 0.57/0.81 | (between @ b @ c @ a)
% 0.57/0.81 | (between @ a @ b @ c))),
% 0.57/0.81 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl39])).
% 0.57/0.81 thf(zip_derived_cl38, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X0 @ X2))),
% 0.57/0.81 inference('cnf', [status(esa)], [c2_3])).
% 0.57/0.81 thf(zip_derived_cl40, plain,
% 0.57/0.81 ((~ (colinear @ c @ b @ a)
% 0.57/0.81 | ~ (colinear @ c @ a @ b)
% 0.57/0.81 | ~ (colinear @ b @ c @ a)
% 0.57/0.81 | ~ (colinear @ b @ a @ c)
% 0.57/0.81 | ~ (colinear @ a @ c @ b))),
% 0.57/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.81 thf(zip_derived_cl358, plain,
% 0.57/0.81 ((~ (between @ b @ c @ a)
% 0.57/0.81 | ~ (colinear @ a @ c @ b)
% 0.57/0.81 | ~ (colinear @ b @ a @ c)
% 0.57/0.81 | ~ (colinear @ b @ c @ a)
% 0.57/0.81 | ~ (colinear @ c @ a @ b))),
% 0.57/0.81 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl40])).
% 0.57/0.81 thf(zip_derived_cl36, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (between @ X0 @ X1 @ X2) | (colinear @ X2 @ X1 @ X0))),
% 0.57/0.81 inference('cnf', [status(esa)], [c2_1])).
% 0.57/0.81 thf(zip_derived_cl458, plain,
% 0.57/0.81 ((~ (colinear @ c @ a @ b)
% 0.57/0.81 | ~ (colinear @ b @ c @ a)
% 0.57/0.81 | ~ (colinear @ b @ a @ c)
% 0.57/0.81 | ~ (between @ b @ c @ a))),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl358, zip_derived_cl36])).
% 0.57/0.81 thf(colinearity3, axiom,
% 0.57/0.81 (( ~( between @ Z @ X @ Y ) ) | ( colinear @ X @ Y @ Z ))).
% 0.57/0.81 thf(zip_derived_cl5, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X2 @ X0))),
% 0.57/0.81 inference('cnf', [status(esa)], [colinearity3])).
% 0.57/0.81 thf(zip_derived_cl459, plain,
% 0.57/0.81 ((~ (between @ b @ c @ a)
% 0.57/0.81 | ~ (colinear @ b @ a @ c)
% 0.57/0.81 | ~ (colinear @ b @ c @ a))),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl458, zip_derived_cl5])).
% 0.57/0.81 thf(zip_derived_cl37, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X2 @ X1))),
% 0.57/0.81 inference('cnf', [status(esa)], [c2_2])).
% 0.57/0.81 thf(zip_derived_cl460, plain,
% 0.57/0.81 ((~ (colinear @ b @ c @ a) | ~ (between @ b @ c @ a))),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl459, zip_derived_cl37])).
% 0.57/0.81 thf(zip_derived_cl3, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 0.57/0.81 inference('cnf', [status(esa)], [colinearity1])).
% 0.57/0.81 thf(zip_derived_cl461, plain, (~ (between @ b @ c @ a)),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl460, zip_derived_cl3])).
% 0.57/0.81 thf(zip_derived_cl36, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (between @ X0 @ X1 @ X2) | (colinear @ X2 @ X1 @ X0))),
% 0.57/0.81 inference('cnf', [status(esa)], [c2_1])).
% 0.57/0.81 thf(zip_derived_cl40, plain,
% 0.57/0.81 ((~ (colinear @ c @ b @ a)
% 0.57/0.81 | ~ (colinear @ c @ a @ b)
% 0.57/0.81 | ~ (colinear @ b @ c @ a)
% 0.57/0.81 | ~ (colinear @ b @ a @ c)
% 0.57/0.81 | ~ (colinear @ a @ c @ b))),
% 0.57/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.81 thf(zip_derived_cl344, plain,
% 0.57/0.81 ((~ (between @ a @ b @ c)
% 0.57/0.81 | ~ (colinear @ a @ c @ b)
% 0.57/0.81 | ~ (colinear @ b @ a @ c)
% 0.57/0.81 | ~ (colinear @ b @ c @ a)
% 0.57/0.81 | ~ (colinear @ c @ a @ b))),
% 0.57/0.81 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl40])).
% 0.57/0.81 thf(zip_derived_cl37, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X2 @ X1))),
% 0.57/0.81 inference('cnf', [status(esa)], [c2_2])).
% 0.57/0.81 thf(zip_derived_cl430, plain,
% 0.57/0.81 ((~ (colinear @ c @ a @ b)
% 0.57/0.81 | ~ (colinear @ b @ c @ a)
% 0.57/0.81 | ~ (colinear @ b @ a @ c)
% 0.57/0.81 | ~ (between @ a @ b @ c))),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl344, zip_derived_cl37])).
% 0.57/0.81 thf(zip_derived_cl4, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (between @ X0 @ X1 @ X2) | (colinear @ X2 @ X0 @ X1))),
% 0.57/0.81 inference('cnf', [status(esa)], [colinearity2])).
% 0.57/0.81 thf(zip_derived_cl431, plain,
% 0.57/0.81 ((~ (between @ a @ b @ c)
% 0.57/0.81 | ~ (colinear @ b @ a @ c)
% 0.57/0.81 | ~ (colinear @ b @ c @ a))),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl430, zip_derived_cl4])).
% 0.57/0.81 thf(zip_derived_cl38, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X0 @ X2))),
% 0.57/0.81 inference('cnf', [status(esa)], [c2_3])).
% 0.57/0.81 thf(zip_derived_cl432, plain,
% 0.57/0.81 ((~ (colinear @ b @ c @ a) | ~ (between @ a @ b @ c))),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl431, zip_derived_cl38])).
% 0.57/0.81 thf(zip_derived_cl5, plain,
% 0.57/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.81 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X2 @ X0))),
% 0.57/0.81 inference('cnf', [status(esa)], [colinearity3])).
% 0.57/0.81 thf(zip_derived_cl433, plain, (~ (between @ a @ b @ c)),
% 0.57/0.81 inference('clc', [status(thm)], [zip_derived_cl432, zip_derived_cl5])).
% 0.57/0.81 thf(zip_derived_cl463, plain, ( (between @ c @ a @ b)),
% 0.57/0.81 inference('demod', [status(thm)],
% 0.57/0.81 [zip_derived_cl380, zip_derived_cl461, zip_derived_cl433])).
% 0.57/0.81 thf(zip_derived_cl464, plain, ($false),
% 0.57/0.81 inference('demod', [status(thm)], [zip_derived_cl438, zip_derived_cl463])).
% 0.57/0.81
% 0.57/0.81 % SZS output end Refutation
% 0.57/0.81
% 0.57/0.81
% 0.57/0.81 % Terminating...
% 0.57/0.85 % Runner terminated.
% 0.57/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------