%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : FLD031-1 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mWx97qq7f6 true
% Computer : n014.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 04:33:13 PM UTC 2025
% Result : Unsatisfiable 3.51s 1.09s
% Output : Refutation 3.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : FLD031-1 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mWx97qq7f6 true
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 18:29:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % 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
% 0.52/0.64 % Total configuration time : 435
% 0.52/0.64 % Estimated wc time : 1092
% 0.52/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.51/1.09 % Solved by fo/fo13.sh.
% 3.51/1.09 % done 775 iterations in 0.322s
% 3.51/1.09 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.51/1.09 % SZS output start Refutation
% 3.51/1.09 thf(multiplicative_inverse_type, type, multiplicative_inverse: $i > $i).
% 3.51/1.09 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 3.51/1.09 thf(defined_type, type, defined: $i > $o).
% 3.51/1.09 thf(additive_identity_type, type, additive_identity: $i).
% 3.51/1.09 thf(multiply_type, type, multiply: $i > $i > $i).
% 3.51/1.09 thf(equalish_type, type, equalish: $i > $i > $o).
% 3.51/1.09 thf(a_type, type, a: $i).
% 3.51/1.09 thf(a_not_equal_to_additive_identity_3, conjecture,
% 3.51/1.09 (equalish @ a @ additive_identity)).
% 3.51/1.09 thf(zf_stmt_0, negated_conjecture, (~( equalish @ a @ additive_identity )),
% 3.51/1.09 inference('cnf.neg', [status(esa)], [a_not_equal_to_additive_identity_3])).
% 3.51/1.09 thf(zip_derived_cl29, plain, (~ (equalish @ a @ additive_identity)),
% 3.51/1.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.51/1.09 thf(well_definedness_of_multiplicative_inverse, axiom,
% 3.51/1.09 (( defined @ ( multiplicative_inverse @ X ) ) | ( ~( defined @ X ) ) |
% 3.51/1.09 ( equalish @ X @ additive_identity ))).
% 3.51/1.09 thf(zip_derived_cl14, plain,
% 3.51/1.09 (![X0 : $i]:
% 3.51/1.09 ( (defined @ (multiplicative_inverse @ X0))
% 3.51/1.09 | ~ (defined @ X0)
% 3.51/1.09 | (equalish @ X0 @ additive_identity))),
% 3.51/1.09 inference('cnf', [status(esa)],
% 3.51/1.09 [well_definedness_of_multiplicative_inverse])).
% 3.51/1.09 thf(existence_of_inverse_multiplication, axiom,
% 3.51/1.09 (( equalish @
% 3.51/1.09 ( multiply @ X @ ( multiplicative_inverse @ X ) ) @
% 3.51/1.09 multiplicative_identity ) |
% 3.51/1.09 ( ~( defined @ X ) ) | ( equalish @ X @ additive_identity ))).
% 3.51/1.09 thf(zip_derived_cl6, plain,
% 3.51/1.09 (![X0 : $i]:
% 3.51/1.09 ( (equalish @ (multiply @ X0 @ (multiplicative_inverse @ X0)) @
% 3.51/1.09 multiplicative_identity)
% 3.51/1.09 | ~ (defined @ X0)
% 3.51/1.09 | (equalish @ X0 @ additive_identity))),
% 3.51/1.09 inference('cnf', [status(esa)], [existence_of_inverse_multiplication])).
% 3.51/1.09 thf(a_equals_multiplicative_identity_2, conjecture,
% 3.51/1.09 (~( equalish @ a @ multiplicative_identity ))).
% 3.51/1.09 thf(zf_stmt_1, negated_conjecture, (equalish @ a @ multiplicative_identity),
% 3.51/1.09 inference('cnf.neg', [status(esa)], [a_equals_multiplicative_identity_2])).
% 3.51/1.09 thf(zip_derived_cl28, plain, ( (equalish @ a @ multiplicative_identity)),
% 3.51/1.09 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.51/1.09 thf(symmetry_of_equality, axiom,
% 3.51/1.09 (( equalish @ X @ Y ) | ( ~( equalish @ Y @ X ) ))).
% 3.51/1.09 thf(zip_derived_cl21, plain,
% 3.51/1.09 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 3.51/1.09 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 3.51/1.09 thf(zip_derived_cl33, plain, ( (equalish @ multiplicative_identity @ a)),
% 3.51/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl21])).
% 3.51/1.09 thf(compatibility_of_equality_and_multiplication, axiom,
% 3.51/1.09 (( equalish @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ) |
% 3.51/1.09 ( ~( defined @ Z ) ) | ( ~( equalish @ X @ Y ) ))).
% 3.51/1.09 thf(zip_derived_cl24, plain,
% 3.51/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.51/1.09 ( (equalish @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1))
% 3.51/1.09 | ~ (defined @ X1)
% 3.51/1.09 | ~ (equalish @ X0 @ X2))),
% 3.51/1.09 inference('cnf', [status(esa)],
% 3.51/1.09 [compatibility_of_equality_and_multiplication])).
% 3.51/1.09 thf(zip_derived_cl371, plain,
% 3.51/1.09 (![X0 : $i]:
% 3.51/1.09 ( (equalish @ (multiply @ multiplicative_identity @ X0) @
% 3.51/1.09 (multiply @ a @ X0))
% 3.51/1.09 | ~ (defined @ X0))),
% 3.51/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl24])).
% 3.51/1.09 thf(existence_of_identity_multiplication, axiom,
% 3.51/1.09 (( equalish @ ( multiply @ multiplicative_identity @ X ) @ X ) |
% 3.51/1.09 ( ~( defined @ X ) ))).
% 3.51/1.09 thf(zip_derived_cl5, plain,
% 3.51/1.09 (![X0 : $i]:
% 3.51/1.09 ( (equalish @ (multiply @ multiplicative_identity @ X0) @ X0)
% 3.51/1.09 | ~ (defined @ X0))),
% 3.51/1.09 inference('cnf', [status(esa)], [existence_of_identity_multiplication])).
% 3.51/1.09 thf(zip_derived_cl21, plain,
% 3.51/1.09 (![X0 : $i, X1 : $i]: ( (equalish @ X0 @ X1) | ~ (equalish @ X1 @ X0))),
% 3.51/1.09 inference('cnf', [status(esa)], [symmetry_of_equality])).
% 3.51/1.09 thf(zip_derived_cl36, plain,
% 3.51/1.09 (![X0 : $i]:
% 3.51/1.09 (~ (defined @ X0)
% 3.51/1.09 | (equalish @ X0 @ (multiply @ multiplicative_identity @ X0)))),
% 3.51/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl21])).
% 3.51/1.09 thf(transitivity_of_equality, axiom,
% 3.51/1.09 (( equalish @ X @ Z ) | ( ~( equalish @ X @ Y ) ) |
% 3.51/1.09 ( ~( equalish @ Y @ Z ) ))).
% 3.51/1.09 thf(zip_derived_cl22, plain,
% 3.51/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.51/1.09 ( (equalish @ X0 @ X1)
% 3.51/1.09 | ~ (equalish @ X0 @ X2)
% 3.51/1.09 | ~ (equalish @ X2 @ X1))),
% 3.51/1.09 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 3.51/1.09 thf(zip_derived_cl42, plain,
% 3.51/1.09 (![X0 : $i, X1 : $i]:
% 3.51/1.09 (~ (defined @ X0)
% 3.51/1.09 | (equalish @ X0 @ X1)
% 3.51/1.09 | ~ (equalish @ (multiply @ multiplicative_identity @ X0) @ X1))),
% 3.51/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl22])).
% 3.51/1.09 thf(zip_derived_cl2359, plain,
% 3.51/1.09 (![X0 : $i]:
% 3.51/1.09 (~ (defined @ X0)
% 3.51/1.09 | ~ (defined @ X0)
% 3.51/1.09 | (equalish @ X0 @ (multiply @ a @ X0)))),
% 3.51/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl371, zip_derived_cl42])).
% 3.51/1.09 thf(zip_derived_cl2366, plain,
% 3.51/1.09 (![X0 : $i]: ( (equalish @ X0 @ (multiply @ a @ X0)) | ~ (defined @ X0))),
% 3.51/1.09 inference('simplify', [status(thm)], [zip_derived_cl2359])).
% 3.51/1.09 thf(zip_derived_cl22, plain,
% 3.51/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.51/1.09 ( (equalish @ X0 @ X1)
% 3.51/1.09 | ~ (equalish @ X0 @ X2)
% 3.51/1.09 | ~ (equalish @ X2 @ X1))),
% 3.51/1.09 inference('cnf', [status(esa)], [transitivity_of_equality])).
% 3.51/1.09 thf(zip_derived_cl2374, plain,
% 3.51/1.09 (![X0 : $i, X1 : $i]:
% 3.51/1.09 (~ (defined @ X0)
% 3.51/1.09 | (equalish @ X0 @ X1)
% 3.51/1.09 | ~ (equalish @ (multiply @ a @ X0) @ X1))),
% 3.51/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl2366, zip_derived_cl22])).
% 3.51/1.09 thf(zip_derived_cl2660, plain,
% 3.51/1.09 (( (equalish @ a @ additive_identity)
% 3.51/1.09 | ~ (defined @ a)
% 3.51/1.09 | ~ (defined @ (multiplicative_inverse @ a))
% 3.51/1.09 | (equalish @ (multiplicative_inverse @ a) @ multiplicative_identity))),
% 3.51/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl2374])).
% 3.51/1.09 thf(zip_derived_cl29, plain, (~ (equalish @ a @ additive_identity)),
% 3.51/1.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.51/1.09 thf(a_is_defined, axiom, (defined @ a)).
% 3.51/1.09 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 3.51/1.09 inference('cnf', [status(esa)], [a_is_defined])).
% 3.51/1.09 thf(zip_derived_cl2672, plain,
% 3.51/1.09 ((~ (defined @ (multiplicative_inverse @ a))
% 3.51/1.09 | (equalish @ (multiplicative_inverse @ a) @ multiplicative_identity))),
% 3.51/1.09 inference('demod', [status(thm)],
% 3.51/1.09 [zip_derived_cl2660, zip_derived_cl29, zip_derived_cl27])).
% 3.51/1.09 thf(multiplicative_inverses_not_equal, conjecture,
% 3.51/1.09 (equalish @ ( multiplicative_inverse @ a ) @ multiplicative_identity)).
% 3.51/1.09 thf(zf_stmt_2, negated_conjecture,
% 3.51/1.09 (~( equalish @ ( multiplicative_inverse @ a ) @ multiplicative_identity )),
% 3.51/1.09 inference('cnf.neg', [status(esa)], [multiplicative_inverses_not_equal])).
% 3.51/1.09 thf(zip_derived_cl30, plain,
% 3.51/1.09 (~ (equalish @ (multiplicative_inverse @ a) @ multiplicative_identity)),
% 3.51/1.09 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.51/1.09 thf(zip_derived_cl2759, plain, (~ (defined @ (multiplicative_inverse @ a))),
% 3.51/1.09 inference('clc', [status(thm)], [zip_derived_cl2672, zip_derived_cl30])).
% 3.51/1.09 thf(zip_derived_cl2760, plain,
% 3.51/1.09 (( (equalish @ a @ additive_identity) | ~ (defined @ a))),
% 3.51/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl2759])).
% 3.51/1.09 thf(zip_derived_cl27, plain, ( (defined @ a)),
% 3.51/1.09 inference('cnf', [status(esa)], [a_is_defined])).
% 3.51/1.09 thf(zip_derived_cl2761, plain, ( (equalish @ a @ additive_identity)),
% 3.51/1.09 inference('demod', [status(thm)], [zip_derived_cl2760, zip_derived_cl27])).
% 3.51/1.09 thf(zip_derived_cl2762, plain, ($false),
% 3.51/1.09 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl2761])).
% 3.51/1.09
% 3.51/1.09 % SZS output end Refutation
% 3.51/1.09
% 3.51/1.09
% 3.51/1.09 % Terminating...
% 3.51/1.14 % Runner terminated.
% 3.51/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------