%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ROB003-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QDRIWKBGDI true
% Computer : n023.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 04:50:38 PM UTC 2025
% Result : Unsatisfiable 31.00s 8.30s
% Output : Refutation 31.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.24 % Problem : ROB003-1 : TPTP v9.2.0. Released v1.0.0.
% 0.02/0.25 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QDRIWKBGDI true
% 0.09/0.47 % Computer : n023.cluster.edu
% 0.09/0.47 % Model : x86_64 x86_64
% 0.09/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.47 % Memory : 8042.1875MB
% 0.09/0.47 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.47 % CPULimit : 300
% 0.09/0.47 % WCLimit : 300
% 0.09/0.47 % DateTime : Wed Oct 1 12:24:23 EDT 2025
% 0.16/0.48 % CPUTime :
% 0.16/0.48 % Running portfolio for 300 s
% 0.16/0.48 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.50 % Number of cores: 8
% 0.16/0.50 % Python version: Python 3.6.8
% 0.16/0.51 % Running in FO mode
% 0.23/0.78 % Total configuration time : 435
% 0.23/0.78 % Estimated wc time : 1092
% 0.23/0.78 % Estimated cpu time (7 cpus) : 156.0
% 0.25/0.90 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.25/0.98 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.25/0.99 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.25/1.03 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.25/1.04 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.25/1.09 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.25/1.10 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 31.00/8.30 % Solved by fo/fo6_bce.sh.
% 31.00/8.30 % BCE start: 5
% 31.00/8.30 % BCE eliminated: 0
% 31.00/8.30 % PE start: 5
% 31.00/8.30 logic: eq
% 31.00/8.30 % PE eliminated: 0
% 31.00/8.30 % done 135 iterations in 7.273s
% 31.00/8.30 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 31.00/8.30 % SZS output start Refutation
% 31.00/8.30 thf(negate_type, type, negate: $i > $i).
% 31.00/8.30 thf(c_type, type, c: $i).
% 31.00/8.30 thf(b_type, type, b: $i).
% 31.00/8.30 thf(add_type, type, add: $i > $i > $i).
% 31.00/8.30 thf(a_type, type, a: $i).
% 31.00/8.30 thf(prove_huntingtons_axiom, conjecture,
% 31.00/8.30 (( add @
% 31.00/8.30 ( negate @ ( add @ a @ ( negate @ b ) ) ) @
% 31.00/8.30 ( negate @ ( add @ ( negate @ a ) @ ( negate @ b ) ) ) ) =
% 31.00/8.30 ( b ))).
% 31.00/8.30 thf(zf_stmt_0, negated_conjecture,
% 31.00/8.30 (( add @
% 31.00/8.30 ( negate @ ( add @ a @ ( negate @ b ) ) ) @
% 31.00/8.30 ( negate @ ( add @ ( negate @ a ) @ ( negate @ b ) ) ) ) !=
% 31.00/8.30 ( b )),
% 31.00/8.30 inference('cnf.neg', [status(esa)], [prove_huntingtons_axiom])).
% 31.00/8.30 thf(zip_derived_cl4, plain,
% 31.00/8.30 (((add @ (negate @ (add @ a @ (negate @ b))) @
% 31.00/8.30 (negate @ (add @ (negate @ a) @ (negate @ b)))) != (b))),
% 31.00/8.30 inference('cnf', [status(esa)], [zf_stmt_0])).
% 31.00/8.30 thf(commutativity_of_add, axiom, (( add @ X @ Y ) = ( add @ Y @ X ))).
% 31.00/8.30 thf(zip_derived_cl0, plain,
% 31.00/8.30 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 31.00/8.30 inference('cnf', [status(esa)], [commutativity_of_add])).
% 31.00/8.30 thf(zip_derived_cl0, plain,
% 31.00/8.30 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 31.00/8.30 inference('cnf', [status(esa)], [commutativity_of_add])).
% 31.00/8.30 thf(robbins_axiom, axiom,
% 31.00/8.30 (( negate @
% 31.00/8.30 ( add @
% 31.00/8.30 ( negate @ ( add @ X @ Y ) ) @
% 31.00/8.30 ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) ) =
% 31.00/8.30 ( X ))).
% 31.00/8.30 thf(zip_derived_cl2, plain,
% 31.00/8.30 (![X0 : $i, X1 : $i]:
% 31.00/8.30 ((negate @
% 31.00/8.30 (add @ (negate @ (add @ X0 @ X1)) @
% 31.00/8.30 (negate @ (add @ X0 @ (negate @ X1)))))
% 31.00/8.30 = (X0))),
% 31.00/8.30 inference('cnf', [status(esa)], [robbins_axiom])).
% 31.00/8.30 thf(zip_derived_cl26, plain,
% 31.00/8.30 (![X0 : $i, X1 : $i]:
% 31.00/8.30 ((negate @
% 31.00/8.30 (add @ (negate @ (add @ X0 @ X1)) @
% 31.00/8.30 (negate @ (add @ (negate @ X1) @ X0))))
% 31.00/8.30 = (X0))),
% 31.00/8.30 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 31.00/8.30 thf(zip_derived_cl0, plain,
% 31.00/8.30 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 31.00/8.30 inference('cnf', [status(esa)], [commutativity_of_add])).
% 31.00/8.30 thf(there_exists_a_constant, axiom, (( add @ X @ c ) = ( c ))).
% 31.00/8.30 thf(zip_derived_cl3, plain, (![X0 : $i]: ((add @ X0 @ c) = (c))),
% 31.00/8.30 inference('cnf', [status(esa)], [there_exists_a_constant])).
% 31.00/8.30 thf(zip_derived_cl2, plain,
% 31.00/8.30 (![X0 : $i, X1 : $i]:
% 31.00/8.30 ((negate @
% 31.00/8.30 (add @ (negate @ (add @ X0 @ X1)) @
% 31.00/8.30 (negate @ (add @ X0 @ (negate @ X1)))))
% 31.00/8.30 = (X0))),
% 31.00/8.30 inference('cnf', [status(esa)], [robbins_axiom])).
% 31.00/8.30 thf(zip_derived_cl34, plain,
% 31.00/8.30 (![X0 : $i]:
% 31.00/8.30 ((negate @ (add @ (negate @ c) @ (negate @ (add @ X0 @ (negate @ c)))))
% 31.00/8.30 = (X0))),
% 31.00/8.30 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 31.00/8.30 thf(zip_derived_cl105, plain,
% 31.00/8.30 (![X0 : $i]:
% 31.00/8.30 ((negate @ (add @ (negate @ c) @ (negate @ (add @ (negate @ c) @ X0))))
% 31.00/8.30 = (X0))),
% 31.00/8.30 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl34])).
% 31.00/8.30 thf(zip_derived_cl3, plain, (![X0 : $i]: ((add @ X0 @ c) = (c))),
% 31.00/8.30 inference('cnf', [status(esa)], [there_exists_a_constant])).
% 31.00/8.30 thf(zip_derived_cl0, plain,
% 31.00/8.30 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 31.00/8.30 inference('cnf', [status(esa)], [commutativity_of_add])).
% 31.00/8.30 thf(zip_derived_cl5, plain, (![X0 : $i]: ((c) = (add @ c @ X0))),
% 31.00/8.30 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 31.00/8.30 thf(zip_derived_cl2, plain,
% 31.00/8.30 (![X0 : $i, X1 : $i]:
% 31.00/8.30 ((negate @
% 31.00/8.30 (add @ (negate @ (add @ X0 @ X1)) @
% 31.00/8.30 (negate @ (add @ X0 @ (negate @ X1)))))
% 31.00/8.30 = (X0))),
% 31.00/8.30 inference('cnf', [status(esa)], [robbins_axiom])).
% 31.00/8.30 thf(zip_derived_cl29, plain,
% 31.00/8.30 (![X0 : $i]:
% 31.00/8.30 ((negate @ (add @ (negate @ (add @ c @ X0)) @ (negate @ c))) = (c))),
% 31.00/8.30 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 31.00/8.30 thf(zip_derived_cl5, plain, (![X0 : $i]: ((c) = (add @ c @ X0))),
% 31.00/8.30 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 31.00/8.30 thf(zip_derived_cl39, plain,
% 31.00/8.30 (((negate @ (add @ (negate @ c) @ (negate @ c))) = (c))),
% 31.00/8.30 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl5])).
% 31.00/8.30 thf(zip_derived_cl0, plain,
% 31.00/8.30 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 31.00/8.30 inference('cnf', [status(esa)], [commutativity_of_add])).
% 31.00/8.30 thf(zip_derived_cl2, plain,
% 31.00/8.30 (![X0 : $i, X1 : $i]:
% 31.00/8.30 ((negate @
% 31.00/8.30 (add @ (negate @ (add @ X0 @ X1)) @
% 31.00/8.30 (negate @ (add @ X0 @ (negate @ X1)))))
% 31.00/8.30 = (X0))),
% 31.00/8.30 inference('cnf', [status(esa)], [robbins_axiom])).
% 31.00/8.30 thf(zip_derived_cl32, plain,
% 31.00/8.30 (![X0 : $i, X1 : $i]:
% 31.00/8.30 ((negate @
% 31.00/8.30 (add @ (negate @ (add @ X1 @ X0)) @
% 31.00/8.30 (negate @ (add @ X0 @ (negate @ X1)))))
% 31.00/8.30 = (X0))),
% 31.00/8.30 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 31.00/8.30 thf(zip_derived_cl546, plain,
% 31.00/8.30 (![X0 : $i]:
% 31.00/8.30 ((negate @
% 31.00/8.30 (add @
% 31.00/8.30 (negate @ (add @ (add @ (negate @ c) @ (negate @ c)) @ X0)) @
% 31.00/8.30 (negate @ (add @ X0 @ c))))
% 31.00/8.30 = (X0))),
% 31.00/8.30 inference('s_sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl32])).
% 31.00/8.30 thf(associativity_of_add, axiom,
% 31.00/8.30 (( add @ ( add @ X @ Y ) @ Z ) = ( add @ X @ ( add @ Y @ Z ) ))).
% 31.00/8.30 thf(zip_derived_cl1, plain,
% 31.00/8.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.00/8.30 ((add @ (add @ X0 @ X1) @ X2) = (add @ X0 @ (add @ X1 @ X2)))),
% 31.00/8.30 inference('cnf', [status(esa)], [associativity_of_add])).
% 31.00/8.30 thf(zip_derived_cl3, plain, (![X0 : $i]: ((add @ X0 @ c) = (c))),
% 31.00/8.30 inference('cnf', [status(esa)], [there_exists_a_constant])).
% 31.00/8.30 thf(zip_derived_cl0, plain,
% 31.00/8.30 (![X0 : $i, X1 : $i]: ((add @ X1 @ X0) = (add @ X0 @ X1))),
% 31.00/8.30 inference('cnf', [status(esa)], [commutativity_of_add])).
% 31.00/8.30 thf(zip_derived_cl105, plain,
% 31.00/8.30 (![X0 : $i]:
% 31.00/8.30 ((negate @ (add @ (negate @ c) @ (negate @ (add @ (negate @ c) @ X0))))
% 31.00/8.30 = (X0))),
% 31.00/8.30 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl34])).
% 31.00/8.30 thf(zip_derived_cl581, plain,
% 31.00/8.30 (![X0 : $i]: ((add @ (negate @ c) @ X0) = (X0))),
% 31.00/8.30 inference('demod', [status(thm)],
% 31.00/8.30 [zip_derived_cl546, zip_derived_cl1, zip_derived_cl3,
% 31.00/8.30 zip_derived_cl0, zip_derived_cl105])).
% 31.00/8.30 thf(zip_derived_cl581, plain,
% 31.00/8.30 (![X0 : $i]: ((add @ (negate @ c) @ X0) = (X0))),
% 31.00/8.30 inference('demod', [status(thm)],
% 31.00/8.30 [zip_derived_cl546, zip_derived_cl1, zip_derived_cl3,
% 31.00/8.30 zip_derived_cl0, zip_derived_cl105])).
% 31.00/8.30 thf(zip_derived_cl605, plain,
% 31.00/8.30 (![X0 : $i]: ((negate @ (negate @ X0)) = (X0))),
% 31.00/8.30 inference('demod', [status(thm)],
% 31.00/8.30 [zip_derived_cl105, zip_derived_cl581, zip_derived_cl581])).
% 31.00/8.30 thf(zip_derived_cl659, plain,
% 31.00/8.30 (![X0 : $i, X1 : $i]:
% 31.00/8.30 ((negate @ X0)
% 31.00/8.30 = (add @ (negate @ (add @ X0 @ X1)) @
% 31.00/8.30 (negate @ (add @ (negate @ X1) @ X0))))),
% 31.00/8.30 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl605])).
% 31.00/8.30 thf(zip_derived_cl768, plain,
% 31.00/8.30 (![X0 : $i, X1 : $i]:
% 31.00/8.30 ((negate @ X0)
% 31.00/8.30 = (add @ (negate @ (add @ X1 @ X0)) @
% 31.00/8.30 (negate @ (add @ (negate @ X1) @ X0))))),
% 31.00/8.30 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl659])).
% 31.00/8.30 thf(zip_derived_cl605, plain,
% 31.00/8.30 (![X0 : $i]: ((negate @ (negate @ X0)) = (X0))),
% 31.00/8.30 inference('demod', [status(thm)],
% 31.00/8.30 [zip_derived_cl105, zip_derived_cl581, zip_derived_cl581])).
% 31.00/8.30 thf(zip_derived_cl4412, plain, (((b) != (b))),
% 31.00/8.30 inference('demod', [status(thm)],
% 31.00/8.30 [zip_derived_cl4, zip_derived_cl768, zip_derived_cl605])).
% 31.00/8.30 thf(zip_derived_cl4413, plain, ($false),
% 31.00/8.30 inference('simplify', [status(thm)], [zip_derived_cl4412])).
% 31.00/8.30
% 31.00/8.30 % SZS output end Refutation
% 31.00/8.30
% 31.00/8.30
% 31.00/8.30 % Terminating...
% 31.56/8.54 % Runner terminated.
% 31.56/8.55 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------