%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG002-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.o5e73ouu2P true
% Computer : n026.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 04:27:17 PM UTC 2025
% Result : Unsatisfiable 1.01s 1.04s
% Output : Refutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG002-1 : TPTP v9.2.0. Released v1.0.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.o5e73ouu2P true
% 0.11/0.31 % Computer : n026.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Oct 1 17:05:08 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.16/0.53 % Total configuration time : 435
% 0.16/0.53 % Estimated wc time : 1092
% 0.16/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.97/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.97/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.97/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.99/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.99/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.99/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.99/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.01/1.04 % Solved by fo/fo1_av.sh.
% 1.01/1.04 % done 249 iterations in 0.263s
% 1.01/1.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.01/1.04 % SZS output start Refutation
% 1.01/1.04 thf(product_type, type, product: $i > $i > $i > $o).
% 1.01/1.04 thf(multiplicative_identity_type, type, multiplicative_identity: $i).
% 1.01/1.04 thf(additive_inverse_type, type, additive_inverse: $i > $i).
% 1.01/1.04 thf(multiplicative_inverse_type, type, multiplicative_inverse: $i > $i).
% 1.01/1.04 thf(a_type, type, a: $i).
% 1.01/1.04 thf(additive_identity_type, type, additive_identity: $i).
% 1.01/1.04 thf(greater_than_0_type, type, greater_than_0: $i > $o).
% 1.01/1.04 thf(inverse_and_identity, axiom,
% 1.01/1.04 (( product @ X @ ( multiplicative_inverse @ X ) @ multiplicative_identity ) |
% 1.01/1.04 ( product @ X @ X @ additive_identity ))).
% 1.01/1.04 thf(zip_derived_cl5, plain,
% 1.01/1.04 (![X0 : $i]:
% 1.01/1.04 ( (product @ X0 @ (multiplicative_inverse @ X0) @
% 1.01/1.04 multiplicative_identity)
% 1.01/1.04 | (product @ X0 @ X0 @ additive_identity))),
% 1.01/1.04 inference('cnf', [status(esa)], [inverse_and_identity])).
% 1.01/1.04 thf(commutativity_of_product, axiom,
% 1.01/1.04 (( ~( product @ X @ Y @ Z ) ) | ( product @ Y @ X @ Z ))).
% 1.01/1.05 thf(zip_derived_cl8, plain,
% 1.01/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.01/1.05 (~ (product @ X0 @ X1 @ X2) | (product @ X1 @ X0 @ X2))),
% 1.01/1.05 inference('cnf', [status(esa)], [commutativity_of_product])).
% 1.01/1.05 thf(zip_derived_cl20, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 ( (product @ X0 @ X0 @ additive_identity)
% 1.01/1.05 | (product @ (multiplicative_inverse @ X0) @ X0 @
% 1.01/1.05 multiplicative_identity))),
% 1.01/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl8])).
% 1.01/1.05 thf(square_to_0, axiom,
% 1.01/1.05 (( ~( product @ Y @ Z @ X ) ) |
% 1.01/1.05 ( ~( product @ Y @ Y @ additive_identity ) ) |
% 1.01/1.05 ( product @ X @ X @ additive_identity ))).
% 1.01/1.05 thf(zip_derived_cl10, plain,
% 1.01/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.01/1.05 (~ (product @ X0 @ X1 @ X2)
% 1.01/1.05 | ~ (product @ X0 @ X0 @ additive_identity)
% 1.01/1.05 | (product @ X2 @ X2 @ additive_identity))),
% 1.01/1.05 inference('cnf', [status(esa)], [square_to_0])).
% 1.01/1.05 thf(zip_derived_cl100, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 ( (product @ X0 @ X0 @ additive_identity)
% 1.01/1.05 | ~ (product @ (multiplicative_inverse @ X0) @
% 1.01/1.05 (multiplicative_inverse @ X0) @ additive_identity)
% 1.01/1.05 | (product @ multiplicative_identity @ multiplicative_identity @
% 1.01/1.05 additive_identity))),
% 1.01/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl10])).
% 1.01/1.05 thf(not_abelian, axiom,
% 1.01/1.05 (~( product @
% 1.01/1.05 multiplicative_identity @ multiplicative_identity @ additive_identity ))).
% 1.01/1.05 thf(zip_derived_cl1, plain,
% 1.01/1.05 (~ (product @ multiplicative_identity @ multiplicative_identity @
% 1.01/1.05 additive_identity)),
% 1.01/1.05 inference('cnf', [status(esa)], [not_abelian])).
% 1.01/1.05 thf(zip_derived_cl103, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 ( (product @ X0 @ X0 @ additive_identity)
% 1.01/1.05 | ~ (product @ (multiplicative_inverse @ X0) @
% 1.01/1.05 (multiplicative_inverse @ X0) @ additive_identity))),
% 1.01/1.05 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl1])).
% 1.01/1.05 thf(product_and_inverse, axiom,
% 1.01/1.05 (( greater_than_0 @ X ) | ( product @ X @ X @ additive_identity ) |
% 1.01/1.05 ( greater_than_0 @ ( additive_inverse @ X ) ))).
% 1.01/1.05 thf(zip_derived_cl9, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 ( (greater_than_0 @ X0)
% 1.01/1.05 | (product @ X0 @ X0 @ additive_identity)
% 1.01/1.05 | (greater_than_0 @ (additive_inverse @ X0)))),
% 1.01/1.05 inference('cnf', [status(esa)], [product_and_inverse])).
% 1.01/1.05 thf(zip_derived_cl165, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 ( (product @ X0 @ X0 @ additive_identity)
% 1.01/1.05 | (greater_than_0 @ (multiplicative_inverse @ X0))
% 1.01/1.05 | (greater_than_0 @
% 1.01/1.05 (additive_inverse @ (multiplicative_inverse @ X0))))),
% 1.01/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl9])).
% 1.01/1.05 thf(zip_derived_cl5, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 ( (product @ X0 @ (multiplicative_inverse @ X0) @
% 1.01/1.05 multiplicative_identity)
% 1.01/1.05 | (product @ X0 @ X0 @ additive_identity))),
% 1.01/1.05 inference('cnf', [status(esa)], [inverse_and_identity])).
% 1.01/1.05 thf(product_to_inverse, axiom,
% 1.01/1.05 (( ~( product @ X @ Y @ Z ) ) |
% 1.01/1.05 ( product @ X @ ( additive_inverse @ Y ) @ ( additive_inverse @ Z ) ))).
% 1.01/1.05 thf(zip_derived_cl4, plain,
% 1.01/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.01/1.05 (~ (product @ X0 @ X1 @ X2)
% 1.01/1.05 | (product @ X0 @ (additive_inverse @ X1) @ (additive_inverse @ X2)))),
% 1.01/1.05 inference('cnf', [status(esa)], [product_to_inverse])).
% 1.01/1.05 thf(product_and_greater_than_0, axiom,
% 1.01/1.05 (( ~( product @ Y @ Z @ X ) ) | ( ~( greater_than_0 @ Y ) ) |
% 1.01/1.05 ( ~( greater_than_0 @ Z ) ) | ( greater_than_0 @ X ))).
% 1.01/1.05 thf(zip_derived_cl11, plain,
% 1.01/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.01/1.05 (~ (product @ X0 @ X1 @ X2)
% 1.01/1.05 | ~ (greater_than_0 @ X0)
% 1.01/1.05 | ~ (greater_than_0 @ X1)
% 1.01/1.05 | (greater_than_0 @ X2))),
% 1.01/1.05 inference('cnf', [status(esa)], [product_and_greater_than_0])).
% 1.01/1.05 thf(zip_derived_cl66, plain,
% 1.01/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.01/1.05 (~ (product @ X2 @ X1 @ X0)
% 1.01/1.05 | ~ (greater_than_0 @ X2)
% 1.01/1.05 | ~ (greater_than_0 @ (additive_inverse @ X1))
% 1.01/1.05 | (greater_than_0 @ (additive_inverse @ X0)))),
% 1.01/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl11])).
% 1.01/1.05 thf(zip_derived_cl85, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 ( (product @ X0 @ X0 @ additive_identity)
% 1.01/1.05 | ~ (greater_than_0 @ X0)
% 1.01/1.05 | ~ (greater_than_0 @
% 1.01/1.05 (additive_inverse @ (multiplicative_inverse @ X0)))
% 1.01/1.05 | (greater_than_0 @ (additive_inverse @ multiplicative_identity)))),
% 1.01/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl66])).
% 1.01/1.05 thf(right_identity, axiom, (product @ X @ multiplicative_identity @ X)).
% 1.01/1.05 thf(zip_derived_cl0, plain,
% 1.01/1.05 (![X0 : $i]: (product @ X0 @ multiplicative_identity @ X0)),
% 1.01/1.05 inference('cnf', [status(esa)], [right_identity])).
% 1.01/1.05 thf(product_of_inverses1, axiom,
% 1.01/1.05 (( ~( product @ X @ Y @ Z ) ) |
% 1.01/1.05 ( product @ ( additive_inverse @ X ) @ ( additive_inverse @ Y ) @ Z ))).
% 1.01/1.05 thf(zip_derived_cl2, plain,
% 1.01/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.01/1.05 (~ (product @ X0 @ X1 @ X2)
% 1.01/1.05 | (product @ (additive_inverse @ X0) @ (additive_inverse @ X1) @ X2))),
% 1.01/1.05 inference('cnf', [status(esa)], [product_of_inverses1])).
% 1.01/1.05 thf(zip_derived_cl11, plain,
% 1.01/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.01/1.05 (~ (product @ X0 @ X1 @ X2)
% 1.01/1.05 | ~ (greater_than_0 @ X0)
% 1.01/1.05 | ~ (greater_than_0 @ X1)
% 1.01/1.05 | (greater_than_0 @ X2))),
% 1.01/1.05 inference('cnf', [status(esa)], [product_and_greater_than_0])).
% 1.01/1.05 thf(zip_derived_cl32, plain,
% 1.01/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.01/1.05 (~ (product @ X2 @ X1 @ X0)
% 1.01/1.05 | ~ (greater_than_0 @ (additive_inverse @ X2))
% 1.01/1.05 | ~ (greater_than_0 @ (additive_inverse @ X1))
% 1.01/1.05 | (greater_than_0 @ X0))),
% 1.01/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11])).
% 1.01/1.05 thf(zip_derived_cl40, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 (~ (greater_than_0 @ (additive_inverse @ X0))
% 1.01/1.05 | ~ (greater_than_0 @ (additive_inverse @ multiplicative_identity))
% 1.01/1.05 | (greater_than_0 @ X0))),
% 1.01/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl32])).
% 1.01/1.05 thf(inverse_greater_than_0, axiom,
% 1.01/1.05 (( ~( greater_than_0 @ X ) ) |
% 1.01/1.05 ( ~( greater_than_0 @ ( additive_inverse @ X ) ) ))).
% 1.01/1.05 thf(zip_derived_cl6, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 (~ (greater_than_0 @ X0)
% 1.01/1.05 | ~ (greater_than_0 @ (additive_inverse @ X0)))),
% 1.01/1.05 inference('cnf', [status(esa)], [inverse_greater_than_0])).
% 1.01/1.05 thf(zip_derived_cl57, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 (~ (greater_than_0 @ (additive_inverse @ multiplicative_identity))
% 1.01/1.05 | ~ (greater_than_0 @ (additive_inverse @ X0)))),
% 1.01/1.05 inference('clc', [status(thm)], [zip_derived_cl40, zip_derived_cl6])).
% 1.01/1.05 thf(zip_derived_cl58, plain,
% 1.01/1.05 (~ (greater_than_0 @ (additive_inverse @ multiplicative_identity))),
% 1.01/1.05 inference('condensation', [status(thm)], [zip_derived_cl57])).
% 1.01/1.05 thf(zip_derived_cl89, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 ( (product @ X0 @ X0 @ additive_identity)
% 1.01/1.05 | ~ (greater_than_0 @ X0)
% 1.01/1.05 | ~ (greater_than_0 @
% 1.01/1.05 (additive_inverse @ (multiplicative_inverse @ X0))))),
% 1.01/1.05 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl58])).
% 1.01/1.05 thf(greater_than_0_square, axiom,
% 1.01/1.05 (( ~( greater_than_0 @ X ) ) | ( ~( product @ X @ X @ additive_identity ) ))).
% 1.01/1.05 thf(zip_derived_cl7, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 (~ (greater_than_0 @ X0) | ~ (product @ X0 @ X0 @ additive_identity))),
% 1.01/1.05 inference('cnf', [status(esa)], [greater_than_0_square])).
% 1.01/1.05 thf(zip_derived_cl105, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 (~ (greater_than_0 @
% 1.01/1.05 (additive_inverse @ (multiplicative_inverse @ X0)))
% 1.01/1.05 | ~ (greater_than_0 @ X0))),
% 1.01/1.05 inference('clc', [status(thm)], [zip_derived_cl89, zip_derived_cl7])).
% 1.01/1.05 thf(zip_derived_cl916, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 ( (greater_than_0 @ (multiplicative_inverse @ X0))
% 1.01/1.05 | (product @ X0 @ X0 @ additive_identity)
% 1.01/1.05 | ~ (greater_than_0 @ X0))),
% 1.01/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl105])).
% 1.01/1.05 thf(zip_derived_cl7, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 (~ (greater_than_0 @ X0) | ~ (product @ X0 @ X0 @ additive_identity))),
% 1.01/1.05 inference('cnf', [status(esa)], [greater_than_0_square])).
% 1.01/1.05 thf(zip_derived_cl937, plain,
% 1.01/1.05 (![X0 : $i]:
% 1.01/1.05 (~ (greater_than_0 @ X0)
% 1.01/1.05 | (greater_than_0 @ (multiplicative_inverse @ X0)))),
% 1.01/1.05 inference('clc', [status(thm)], [zip_derived_cl916, zip_derived_cl7])).
% 1.01/1.05 thf(prove_a_inverse_greater_than_0, conjecture,
% 1.01/1.05 (greater_than_0 @ ( multiplicative_inverse @ a ))).
% 1.01/1.05 thf(zf_stmt_0, negated_conjecture,
% 1.01/1.05 (~( greater_than_0 @ ( multiplicative_inverse @ a ) )),
% 1.01/1.05 inference('cnf.neg', [status(esa)], [prove_a_inverse_greater_than_0])).
% 1.01/1.05 thf(zip_derived_cl13, plain,
% 1.01/1.05 (~ (greater_than_0 @ (multiplicative_inverse @ a))),
% 1.01/1.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.01/1.05 thf(zip_derived_cl941, plain, (~ (greater_than_0 @ a)),
% 1.01/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl937, zip_derived_cl13])).
% 1.01/1.05 thf(a_greater_than_0, axiom, (greater_than_0 @ a)).
% 1.01/1.05 thf(zip_derived_cl12, plain, ( (greater_than_0 @ a)),
% 1.01/1.05 inference('cnf', [status(esa)], [a_greater_than_0])).
% 1.01/1.05 thf(zip_derived_cl943, plain, ($false),
% 1.01/1.05 inference('demod', [status(thm)], [zip_derived_cl941, zip_derived_cl12])).
% 1.01/1.05
% 1.01/1.05 % SZS output end Refutation
% 1.01/1.05
% 1.01/1.05
% 1.01/1.05 % Terminating...
% 2.76/1.26 % Runner terminated.
% 2.76/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------