%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT058-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kDkg6X8AA2 true
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:25:18 AM UTC 2026
% Result : Unsatisfiable 0.43s 0.73s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT058-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kDkg6X8AA2 true
% 0.11/0.37 % Computer : n031.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 7 13:35:26 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Number of cores: 8
% 0.11/0.38 % Python version: Python 3.12.3
% 0.11/0.38 % Running in FO mode
% 0.35/0.61 % Total configuration time : 435
% 0.35/0.61 % Estimated wc time : 1092
% 0.35/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.43/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.43/0.73 % Solved by fo/fo6_bce.sh.
% 0.43/0.73 % BCE start: 29
% 0.43/0.73 % BCE eliminated: 2
% 0.43/0.73 % PE start: 27
% 0.43/0.73 logic: eq
% 0.43/0.73 % PE eliminated: 4
% 0.43/0.73 % done 58 iterations in 0.027s
% 0.43/0.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.43/0.73 % SZS output start Refutation
% 0.43/0.73 thf(tau_type, type, tau: $i).
% 0.43/0.73 thf(greater_or_equal_type, type, greater_or_equal: $i > $i > $o).
% 0.43/0.73 thf(zero_type, type, zero: $i).
% 0.43/0.73 thf(sk4_type, type, sk4: $i).
% 0.43/0.73 thf(smaller_type, type, smaller: $i > $i > $o).
% 0.43/0.73 thf(age_type, type, age: $i > $i > $i).
% 0.43/0.73 thf(sk3_type, type, sk3: $i).
% 0.43/0.73 thf(fragile_position_type, type, fragile_position: $i > $o).
% 0.43/0.73 thf(positional_advantage_type, type, positional_advantage: $i > $i > $o).
% 0.43/0.73 thf(robust_position_type, type, robust_position: $i > $o).
% 0.43/0.73 thf(smaller_or_equal_type, type, smaller_or_equal: $i > $i > $o).
% 0.43/0.73 thf(sigma_type, type, sigma: $i).
% 0.43/0.73 thf(greater_type, type, greater: $i > $i > $o).
% 0.43/0.73 thf(lemma_10_43, conjecture, (( age @ sk3 @ sk4 ) != ( zero ))).
% 0.43/0.73 thf(zf_stmt_0, negated_conjecture, (( age @ sk3 @ sk4 ) = ( zero )),
% 0.43/0.73 inference('cnf.neg', [status(esa)], [lemma_10_43])).
% 0.43/0.73 thf(zip_derived_cl24, plain, (((age @ sk3 @ sk4) = (zero))),
% 0.43/0.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.43/0.73 thf(definition_4_36, axiom,
% 0.43/0.73 (( ~( robust_position @ A ) ) |
% 0.43/0.73 ( ~( smaller_or_equal @ ( age @ A @ B ) @ tau ) ) |
% 0.43/0.73 ( ~( positional_advantage @ A @ B ) ))).
% 0.43/0.73 thf(zip_derived_cl17, plain,
% 0.43/0.73 (![X0 : $i, X1 : $i]:
% 0.43/0.73 (~ (robust_position @ X0)
% 0.43/0.73 | ~ (smaller_or_equal @ (age @ X0 @ X1) @ tau)
% 0.43/0.73 | ~ (positional_advantage @ X0 @ X1))),
% 0.43/0.73 inference('cnf', [status(esa)], [definition_4_36])).
% 0.43/0.73 thf(zip_derived_cl237, plain,
% 0.43/0.73 ((~ (robust_position @ sk3)
% 0.43/0.73 | ~ (smaller_or_equal @ zero @ tau)
% 0.43/0.73 | ~ (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl17])).
% 0.43/0.73 thf(lemma_10_47, conjecture, (~( robust_position @ sk3 ))).
% 0.43/0.73 thf(zf_stmt_1, negated_conjecture, (robust_position @ sk3),
% 0.43/0.73 inference('cnf.neg', [status(esa)], [lemma_10_47])).
% 0.43/0.73 thf(zip_derived_cl28, plain, ( (robust_position @ sk3)),
% 0.43/0.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/0.73 thf(zip_derived_cl238, plain,
% 0.43/0.73 ((~ (smaller_or_equal @ zero @ tau)
% 0.43/0.73 | ~ (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl28])).
% 0.43/0.73 thf(lemma_10_44, conjecture, (~( greater_or_equal @ sigma @ zero ))).
% 0.43/0.73 thf(zf_stmt_2, negated_conjecture, (greater_or_equal @ sigma @ zero),
% 0.43/0.73 inference('cnf.neg', [status(esa)], [lemma_10_44])).
% 0.43/0.73 thf(zip_derived_cl25, plain, ( (greater_or_equal @ sigma @ zero)),
% 0.43/0.73 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.43/0.73 thf(definition_greater_or_equal_4, axiom,
% 0.43/0.73 (( ~( greater_or_equal @ A @ B ) ) | ( greater @ A @ B ) |
% 0.43/0.73 ( ( A ) = ( B ) ))).
% 0.43/0.73 thf(zip_derived_cl3, plain,
% 0.43/0.73 (![X0 : $i, X1 : $i]:
% 0.43/0.73 (~ (greater_or_equal @ X0 @ X1) | (greater @ X0 @ X1) | ((X0) = (X1)))),
% 0.43/0.73 inference('cnf', [status(esa)], [definition_greater_or_equal_4])).
% 0.43/0.73 thf(zip_derived_cl146, plain,
% 0.43/0.73 ((((sigma) = (zero)) | (greater @ sigma @ zero))),
% 0.43/0.73 inference('dp-resolution', [status(thm)],
% 0.43/0.73 [zip_derived_cl25, zip_derived_cl3])).
% 0.43/0.73 thf(definition_smaller_8, axiom,
% 0.43/0.73 (( ~( greater @ A @ B ) ) | ( smaller @ B @ A ))).
% 0.43/0.73 thf(zip_derived_cl7, plain,
% 0.43/0.73 (![X0 : $i, X1 : $i]: (~ (greater @ X0 @ X1) | (smaller @ X1 @ X0))),
% 0.43/0.73 inference('cnf', [status(esa)], [definition_smaller_8])).
% 0.43/0.73 thf(definition_smaller_or_equal_2, axiom,
% 0.43/0.73 (( ~( smaller @ A @ B ) ) | ( smaller_or_equal @ A @ B ))).
% 0.43/0.73 thf(zip_derived_cl1, plain,
% 0.43/0.73 (![X0 : $i, X1 : $i]:
% 0.43/0.73 (~ (smaller @ X0 @ X1) | (smaller_or_equal @ X0 @ X1))),
% 0.43/0.73 inference('cnf', [status(esa)], [definition_smaller_or_equal_2])).
% 0.43/0.73 thf(zip_derived_cl150, plain,
% 0.43/0.73 (![X0 : $i, X1 : $i]:
% 0.43/0.73 (~ (greater @ X1 @ X0) | (smaller_or_equal @ X0 @ X1))),
% 0.43/0.73 inference('dp-resolution', [status(thm)],
% 0.43/0.73 [zip_derived_cl7, zip_derived_cl1])).
% 0.43/0.73 thf(zip_derived_cl24, plain, (((age @ sk3 @ sk4) = (zero))),
% 0.43/0.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.43/0.73 thf(definition_3_30, axiom,
% 0.43/0.73 (( ~( fragile_position @ A ) ) |
% 0.43/0.73 ( ~( smaller_or_equal @ ( age @ A @ B ) @ sigma ) ) |
% 0.43/0.73 ( positional_advantage @ A @ B ))).
% 0.43/0.73 thf(zip_derived_cl11, plain,
% 0.43/0.73 (![X0 : $i, X1 : $i]:
% 0.43/0.73 (~ (fragile_position @ X0)
% 0.43/0.73 | ~ (smaller_or_equal @ (age @ X0 @ X1) @ sigma)
% 0.43/0.73 | (positional_advantage @ X0 @ X1))),
% 0.43/0.73 inference('cnf', [status(esa)], [definition_3_30])).
% 0.43/0.73 thf(zip_derived_cl235, plain,
% 0.43/0.73 ((~ (fragile_position @ sk3)
% 0.43/0.73 | ~ (smaller_or_equal @ zero @ sigma)
% 0.43/0.73 | (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl11])).
% 0.43/0.73 thf(lemma_10_46, conjecture, (~( fragile_position @ sk3 ))).
% 0.43/0.73 thf(zf_stmt_3, negated_conjecture, (fragile_position @ sk3),
% 0.43/0.73 inference('cnf.neg', [status(esa)], [lemma_10_46])).
% 0.43/0.73 thf(zip_derived_cl27, plain, ( (fragile_position @ sk3)),
% 0.43/0.73 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.43/0.73 thf(zip_derived_cl236, plain,
% 0.43/0.73 ((~ (smaller_or_equal @ zero @ sigma)
% 0.43/0.73 | (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl27])).
% 0.43/0.73 thf(zip_derived_cl244, plain,
% 0.43/0.73 ((~ (greater @ sigma @ zero) | (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl236])).
% 0.43/0.73 thf(zip_derived_cl251, plain,
% 0.43/0.73 ((((sigma) = (zero)) | (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl146, zip_derived_cl244])).
% 0.43/0.73 thf(lemma_10_45, conjecture, (~( greater_or_equal @ tau @ zero ))).
% 0.43/0.73 thf(zf_stmt_4, negated_conjecture, (greater_or_equal @ tau @ zero),
% 0.43/0.73 inference('cnf.neg', [status(esa)], [lemma_10_45])).
% 0.43/0.73 thf(zip_derived_cl26, plain, ( (greater_or_equal @ tau @ zero)),
% 0.43/0.73 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.43/0.73 thf(zip_derived_cl3, plain,
% 0.43/0.73 (![X0 : $i, X1 : $i]:
% 0.43/0.73 (~ (greater_or_equal @ X0 @ X1) | (greater @ X0 @ X1) | ((X0) = (X1)))),
% 0.43/0.73 inference('cnf', [status(esa)], [definition_greater_or_equal_4])).
% 0.43/0.73 thf(zip_derived_cl147, plain, ((((tau) = (zero)) | (greater @ tau @ zero))),
% 0.43/0.73 inference('dp-resolution', [status(thm)],
% 0.43/0.73 [zip_derived_cl26, zip_derived_cl3])).
% 0.43/0.73 thf(zip_derived_cl150, plain,
% 0.43/0.73 (![X0 : $i, X1 : $i]:
% 0.43/0.73 (~ (greater @ X1 @ X0) | (smaller_or_equal @ X0 @ X1))),
% 0.43/0.73 inference('dp-resolution', [status(thm)],
% 0.43/0.73 [zip_derived_cl7, zip_derived_cl1])).
% 0.43/0.73 thf(zip_derived_cl238, plain,
% 0.43/0.73 ((~ (smaller_or_equal @ zero @ tau)
% 0.43/0.73 | ~ (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl28])).
% 0.43/0.73 thf(zip_derived_cl245, plain,
% 0.43/0.73 ((~ (greater @ tau @ zero) | ~ (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl238])).
% 0.43/0.73 thf(zip_derived_cl248, plain,
% 0.43/0.73 ((((tau) = (zero)) | ~ (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl245])).
% 0.43/0.73 thf(zip_derived_cl252, plain, ((((sigma) = (zero)) | ((tau) = (zero)))),
% 0.43/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl251, zip_derived_cl248])).
% 0.43/0.73 thf(zip_derived_cl238, plain,
% 0.43/0.73 ((~ (smaller_or_equal @ zero @ tau)
% 0.43/0.73 | ~ (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl28])).
% 0.43/0.73 thf(zip_derived_cl261, plain,
% 0.43/0.73 ((((sigma) = (zero))
% 0.43/0.73 | ~ (smaller_or_equal @ tau @ tau)
% 0.43/0.73 | ~ (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl252, zip_derived_cl238])).
% 0.43/0.73 thf(definition_smaller_or_equal_3, axiom,
% 0.43/0.73 (( ( A ) != ( B ) ) | ( smaller_or_equal @ A @ B ))).
% 0.43/0.73 thf(zip_derived_cl2, plain,
% 0.43/0.73 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | (smaller_or_equal @ X1 @ X0))),
% 0.43/0.73 inference('cnf', [status(esa)], [definition_smaller_or_equal_3])).
% 0.43/0.73 thf(zip_derived_cl225, plain, (![X0 : $i]: (smaller_or_equal @ X0 @ X0)),
% 0.43/0.73 inference('eq_res', [status(thm)], [zip_derived_cl2])).
% 0.43/0.73 thf(zip_derived_cl266, plain,
% 0.43/0.73 ((((sigma) = (zero)) | ~ (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('demod', [status(thm)], [zip_derived_cl261, zip_derived_cl225])).
% 0.43/0.73 thf(zip_derived_cl251, plain,
% 0.43/0.73 ((((sigma) = (zero)) | (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl146, zip_derived_cl244])).
% 0.43/0.73 thf(zip_derived_cl274, plain, (((sigma) = (zero))),
% 0.43/0.73 inference('clc', [status(thm)], [zip_derived_cl266, zip_derived_cl251])).
% 0.43/0.73 thf(zip_derived_cl281, plain,
% 0.43/0.73 ((~ (smaller_or_equal @ sigma @ tau)
% 0.43/0.73 | ~ (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('demod', [status(thm)], [zip_derived_cl238, zip_derived_cl274])).
% 0.43/0.73 thf(zip_derived_cl248, plain,
% 0.43/0.73 ((((tau) = (zero)) | ~ (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl245])).
% 0.43/0.73 thf(zip_derived_cl274, plain, (((sigma) = (zero))),
% 0.43/0.73 inference('clc', [status(thm)], [zip_derived_cl266, zip_derived_cl251])).
% 0.43/0.73 thf(zip_derived_cl285, plain,
% 0.43/0.73 ((((tau) = (sigma)) | ~ (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('demod', [status(thm)], [zip_derived_cl248, zip_derived_cl274])).
% 0.43/0.73 thf(zip_derived_cl236, plain,
% 0.43/0.73 ((~ (smaller_or_equal @ zero @ sigma)
% 0.43/0.73 | (positional_advantage @ sk3 @ sk4))),
% 0.43/0.73 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl27])).
% 0.43/0.73 thf(zip_derived_cl274, plain, (((sigma) = (zero))),
% 0.43/0.73 inference('clc', [status(thm)], [zip_derived_cl266, zip_derived_cl251])).
% 0.43/0.73 thf(zip_derived_cl225, plain, (![X0 : $i]: (smaller_or_equal @ X0 @ X0)),
% 0.43/0.73 inference('eq_res', [status(thm)], [zip_derived_cl2])).
% 0.43/0.73 thf(zip_derived_cl280, plain, ( (positional_advantage @ sk3 @ sk4)),
% 0.43/0.73 inference('demod', [status(thm)],
% 0.43/0.73 [zip_derived_cl236, zip_derived_cl274, zip_derived_cl225])).
% 0.43/0.73 thf(zip_derived_cl321, plain, (((tau) = (sigma))),
% 0.43/0.73 inference('demod', [status(thm)], [zip_derived_cl285, zip_derived_cl280])).
% 0.43/0.73 thf(zip_derived_cl225, plain, (![X0 : $i]: (smaller_or_equal @ X0 @ X0)),
% 0.43/0.73 inference('eq_res', [status(thm)], [zip_derived_cl2])).
% 0.43/0.73 thf(zip_derived_cl280, plain, ( (positional_advantage @ sk3 @ sk4)),
% 0.43/0.73 inference('demod', [status(thm)],
% 0.43/0.73 [zip_derived_cl236, zip_derived_cl274, zip_derived_cl225])).
% 0.43/0.73 thf(zip_derived_cl339, plain, ($false),
% 0.43/0.73 inference('demod', [status(thm)],
% 0.43/0.73 [zip_derived_cl281, zip_derived_cl321, zip_derived_cl225,
% 0.43/0.73 zip_derived_cl280])).
% 0.43/0.73
% 0.43/0.73 % SZS output end Refutation
% 0.43/0.73
% 0.43/0.73
% 0.43/0.73 % Terminating...
% 0.43/0.75 % Runner terminated.
% 0.43/0.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------