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Zipperpin---2.1.9999.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO009-3 : TPTP v9.2.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xkbvhNlMOa true

% Computer : n009.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 10.95s 2.09s
% Output   : Refutation 10.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO009-3 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.03/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xkbvhNlMOa true
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 17:40:08 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox2/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
% 0.46/0.56  % Total configuration time : 435
% 0.46/0.56  % Estimated wc time : 1092
% 0.46/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.64  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 10.95/2.09  % Solved by fo/fo5.sh.
% 10.95/2.09  % done 1716 iterations in 1.379s
% 10.95/2.09  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.95/2.09  % SZS output start Refutation
% 10.95/2.09  thf(a_type, type, a: $i).
% 10.95/2.09  thf(d_type, type, d: $i).
% 10.95/2.09  thf(between_type, type, between: $i > $i > $i > $o).
% 10.95/2.09  thf(reflection_type, type, reflection: $i > $i > $i).
% 10.95/2.09  thf(e_type, type, e: $i).
% 10.95/2.09  thf(c_type, type, c: $i).
% 10.95/2.09  thf(prove_d_between_a_and_c, conjecture, (between @ a @ d @ c)).
% 10.95/2.09  thf(zf_stmt_0, negated_conjecture, (~( between @ a @ d @ c )),
% 10.95/2.09    inference('cnf.neg', [status(esa)], [prove_d_between_a_and_c])).
% 10.95/2.09  thf(zip_derived_cl82, plain, (~ (between @ a @ d @ c)),
% 10.95/2.09      inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.95/2.09  thf(r2_1, axiom, (between @ U @ V @ ( reflection @ U @ V ))).
% 10.95/2.09  thf(zip_derived_cl31, plain,
% 10.95/2.09      (![X0 : $i, X1 : $i]:  (between @ X0 @ X1 @ (reflection @ X0 @ X1))),
% 10.95/2.09      inference('cnf', [status(esa)], [r2_1])).
% 10.95/2.09  thf(d_between_a_and_e, axiom, (between @ a @ d @ e)).
% 10.95/2.09  thf(zip_derived_cl80, plain, ( (between @ a @ d @ e)),
% 10.95/2.09      inference('cnf', [status(esa)], [d_between_a_and_e])).
% 10.95/2.09  thf(t1, axiom, (( ~( between @ U @ V @ W ) ) | ( between @ W @ V @ U ))).
% 10.95/2.09  thf(zip_derived_cl46, plain,
% 10.95/2.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 10.95/2.09         (~ (between @ X0 @ X1 @ X2) |  (between @ X2 @ X1 @ X0))),
% 10.95/2.09      inference('cnf', [status(esa)], [t1])).
% 10.95/2.09  thf(zip_derived_cl92, plain, ( (between @ e @ d @ a)),
% 10.95/2.09      inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl46])).
% 10.95/2.09  thf(b6, axiom,
% 10.95/2.09    (( ~( between @ U @ V @ W ) ) | ( ~( between @ V @ W @ X ) ) | 
% 10.95/2.09     ( between @ U @ W @ X ) | ( ( V ) = ( W ) ))).
% 10.95/2.09  thf(zip_derived_cl54, plain,
% 10.95/2.09      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.95/2.09         (~ (between @ X0 @ X1 @ X2)
% 10.95/2.09          | ~ (between @ X1 @ X2 @ X3)
% 10.95/2.09          |  (between @ X0 @ X2 @ X3)
% 10.95/2.09          | ((X1) = (X2)))),
% 10.95/2.09      inference('cnf', [status(esa)], [b6])).
% 10.95/2.09  thf(zip_derived_cl271, plain,
% 10.95/2.09      (![X0 : $i]:
% 10.95/2.09         (((d) = (a)) |  (between @ e @ a @ X0) | ~ (between @ d @ a @ X0))),
% 10.95/2.09      inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl54])).
% 10.95/2.09  thf(zip_derived_cl512, plain,
% 10.95/2.09      (( (between @ e @ a @ (reflection @ d @ a)) | ((d) = (a)))),
% 10.95/2.09      inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl271])).
% 10.95/2.09  thf(c_between_a_and_e, axiom, (between @ a @ c @ e)).
% 10.95/2.09  thf(zip_derived_cl79, plain, ( (between @ a @ c @ e)),
% 10.95/2.09      inference('cnf', [status(esa)], [c_between_a_and_e])).
% 10.95/2.09  thf(zip_derived_cl46, plain,
% 10.95/2.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 10.95/2.09         (~ (between @ X0 @ X1 @ X2) |  (between @ X2 @ X1 @ X0))),
% 10.95/2.09      inference('cnf', [status(esa)], [t1])).
% 10.95/2.09  thf(zip_derived_cl91, plain, ( (between @ e @ c @ a)),
% 10.95/2.09      inference('sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl46])).
% 10.95/2.09  thf(b5, axiom,
% 10.95/2.09    (( ~( between @ U @ V @ W ) ) | ( ~( between @ U @ W @ X ) ) | 
% 10.95/2.09     ( between @ V @ W @ X ))).
% 10.95/2.09  thf(zip_derived_cl53, plain,
% 10.95/2.09      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.95/2.09         (~ (between @ X0 @ X1 @ X2)
% 10.95/2.09          | ~ (between @ X0 @ X2 @ X3)
% 10.95/2.09          |  (between @ X1 @ X2 @ X3))),
% 10.95/2.09      inference('cnf', [status(esa)], [b5])).
% 10.95/2.09  thf(zip_derived_cl147, plain,
% 10.95/2.09      (![X0 : $i]: ( (between @ c @ a @ X0) | ~ (between @ e @ a @ X0))),
% 10.95/2.09      inference('sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl53])).
% 10.95/2.09  thf(zip_derived_cl1180, plain,
% 10.95/2.09      ((((d) = (a)) |  (between @ c @ a @ (reflection @ d @ a)))),
% 10.95/2.09      inference('sup-', [status(thm)], [zip_derived_cl512, zip_derived_cl147])).
% 10.95/2.09  thf(zip_derived_cl46, plain,
% 10.95/2.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 10.95/2.09         (~ (between @ X0 @ X1 @ X2) |  (between @ X2 @ X1 @ X0))),
% 10.95/2.09      inference('cnf', [status(esa)], [t1])).
% 10.95/2.09  thf(zip_derived_cl1190, plain,
% 10.95/2.09      ((((d) = (a)) |  (between @ (reflection @ d @ a) @ a @ c))),
% 10.95/2.09      inference('sup-', [status(thm)], [zip_derived_cl1180, zip_derived_cl46])).
% 10.95/2.09  thf(zip_derived_cl31, plain,
% 10.95/2.09      (![X0 : $i, X1 : $i]:  (between @ X0 @ X1 @ (reflection @ X0 @ X1))),
% 10.95/2.09      inference('cnf', [status(esa)], [r2_1])).
% 10.95/2.09  thf(b13, axiom,
% 10.95/2.09    (( ~( between @ U @ V @ W ) ) | ( ~( between @ U @ V @ X ) ) | 
% 10.95/2.09     ( ( U ) = ( V ) ) | ( between @ V @ W @ X ) | ( between @ V @ X @ W ))).
% 10.95/2.09  thf(zip_derived_cl77, plain,
% 10.95/2.09      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.95/2.09         (~ (between @ X0 @ X1 @ X2)
% 10.95/2.09          | ~ (between @ X0 @ X1 @ X3)
% 10.95/2.09          | ((X0) = (X1))
% 10.95/2.09          |  (between @ X1 @ X2 @ X3)
% 10.95/2.09          |  (between @ X1 @ X3 @ X2))),
% 10.95/2.09      inference('cnf', [status(esa)], [b13])).
% 10.95/2.09  thf(zip_derived_cl392, plain,
% 10.95/2.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 10.95/2.09         ( (between @ X0 @ X2 @ (reflection @ X1 @ X0))
% 10.95/2.09          |  (between @ X0 @ (reflection @ X1 @ X0) @ X2)
% 10.95/2.09          | ((X1) = (X0))
% 10.95/2.09          | ~ (between @ X1 @ X0 @ X2))),
% 10.95/2.09      inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl77])).
% 10.95/2.09  thf(zip_derived_cl8676, plain,
% 10.95/2.09      ((((d) = (a))
% 10.95/2.09        | ((reflection @ d @ a) = (a))
% 10.95/2.09        |  (between @ a @ (reflection @ (reflection @ d @ a) @ a) @ c)
% 10.95/2.09        |  (between @ a @ c @ (reflection @ (reflection @ d @ a) @ a)))),
% 10.95/2.09      inference('sup-', [status(thm)], [zip_derived_cl1190, zip_derived_cl392])).
% 10.95/2.09  thf(r6, axiom, (( U ) = ( reflection @ ( reflection @ U @ V ) @ V ))).
% 10.95/2.09  thf(zip_derived_cl43, plain,
% 10.95/2.09      (![X0 : $i, X1 : $i]: ((X0) = (reflection @ (reflection @ X0 @ X1) @ X1))),
% 10.95/2.09      inference('cnf', [status(esa)], [r6])).
% 10.95/2.09  thf(zip_derived_cl82, plain, (~ (between @ a @ d @ c)),
% 10.95/2.09      inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.95/2.09  thf(zip_derived_cl43, plain,
% 10.95/2.09      (![X0 : $i, X1 : $i]: ((X0) = (reflection @ (reflection @ X0 @ X1) @ X1))),
% 10.95/2.09      inference('cnf', [status(esa)], [r6])).
% 10.95/2.09  thf(c_not_between_a_and_d, axiom, (~( between @ a @ c @ d ))).
% 10.95/2.09  thf(zip_derived_cl81, plain, (~ (between @ a @ c @ d)),
% 10.95/2.09      inference('cnf', [status(esa)], [c_not_between_a_and_d])).
% 10.95/2.09  thf(zip_derived_cl8814, plain,
% 10.95/2.09      ((((d) = (a)) | ((reflection @ d @ a) = (a)))),
% 10.95/2.09      inference('demod', [status(thm)],
% 10.95/2.09                [zip_derived_cl8676, zip_derived_cl43, zip_derived_cl82, 
% 10.95/2.09                 zip_derived_cl43, zip_derived_cl81])).
% 10.95/2.09  thf(r3_1, axiom, (( ( U ) != ( V ) ) | ( ( V ) = ( reflection @ U @ V ) ))).
% 10.95/2.09  thf(zip_derived_cl33, plain,
% 10.95/2.09      (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ((X0) = (reflection @ X1 @ X0)))),
% 10.95/2.09      inference('cnf', [status(esa)], [r3_1])).
% 10.95/2.09  thf(zip_derived_cl8839, plain, (((reflection @ d @ a) = (a))),
% 10.95/2.09      inference('clc', [status(thm)], [zip_derived_cl8814, zip_derived_cl33])).
% 10.95/2.09  thf(r4, axiom, (( ( V ) != ( reflection @ U @ V ) ) | ( ( U ) = ( V ) ))).
% 10.95/2.09  thf(zip_derived_cl35, plain,
% 10.95/2.09      (![X0 : $i, X1 : $i]: (((X1) != (reflection @ X0 @ X1)) | ((X0) = (X1)))),
% 10.95/2.09      inference('cnf', [status(esa)], [r4])).
% 10.95/2.09  thf(zip_derived_cl8893, plain, ((((a) != (a)) | ((d) = (a)))),
% 10.95/2.09      inference('sup-', [status(thm)], [zip_derived_cl8839, zip_derived_cl35])).
% 10.95/2.09  thf(zip_derived_cl8928, plain, (((d) = (a))),
% 10.95/2.09      inference('simplify', [status(thm)], [zip_derived_cl8893])).
% 10.95/2.09  thf(t2, axiom, (between @ U @ U @ V)).
% 10.95/2.09  thf(zip_derived_cl47, plain,
% 10.95/2.09      (![X0 : $i, X1 : $i]:  (between @ X0 @ X0 @ X1)),
% 10.95/2.09      inference('cnf', [status(esa)], [t2])).
% 10.95/2.09  thf(zip_derived_cl8945, plain, ($false),
% 10.95/2.09      inference('demod', [status(thm)],
% 10.95/2.09                [zip_derived_cl82, zip_derived_cl8928, zip_derived_cl47])).
% 10.95/2.09  
% 10.95/2.09  % SZS output end Refutation
% 10.95/2.09  
% 10.95/2.09  
% 10.95/2.09  % Terminating...
% 11.48/2.18  % Runner terminated.
% 11.48/2.19  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------