%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG245-1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e7ko0a9QDY true
% Computer : n025.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 04:28:25 PM UTC 2025
% Result : Unsatisfiable 185.84s 27.24s
% Output : Refutation 185.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : ALG245-1 : TPTP v9.2.0. Released v4.0.0.
% 0.09/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e7ko0a9QDY true
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 17:01:38 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.43/0.57 % Total configuration time : 435
% 0.43/0.57 % Estimated wc time : 1092
% 0.43/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 185.84/27.24 % Solved by fo/fo6_bce.sh.
% 185.84/27.24 % BCE start: 6
% 185.84/27.24 % BCE eliminated: 0
% 185.84/27.24 % PE start: 6
% 185.84/27.24 logic: eq
% 185.84/27.24 % PE eliminated: 0
% 185.84/27.24 % done 126 iterations in 26.527s
% 185.84/27.24 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 185.84/27.24 % SZS output start Refutation
% 185.84/27.24 thf(d_type, type, d: $i).
% 185.84/27.24 thf(mult_type, type, mult: $i > $i > $i).
% 185.84/27.24 thf(b_type, type, b: $i).
% 185.84/27.24 thf(a_type, type, a: $i).
% 185.84/27.24 thf(c_type, type, c: $i).
% 185.84/27.24 thf(goals, conjecture,
% 185.84/27.24 (( mult @
% 185.84/27.24 ( mult @ ( mult @ a @ b ) @ ( mult @ c @ d ) ) @
% 185.84/27.24 ( mult @ ( mult @ a @ c ) @ ( mult @ b @ d ) ) ) =
% 185.84/27.24 ( mult @
% 185.84/27.24 ( mult @ ( mult @ a @ c ) @ ( mult @ b @ d ) ) @
% 185.84/27.24 ( mult @ ( mult @ a @ b ) @ ( mult @ c @ d ) ) ))).
% 185.84/27.24 thf(zf_stmt_0, negated_conjecture,
% 185.84/27.24 (( mult @
% 185.84/27.24 ( mult @ ( mult @ a @ b ) @ ( mult @ c @ d ) ) @
% 185.84/27.24 ( mult @ ( mult @ a @ c ) @ ( mult @ b @ d ) ) ) !=
% 185.84/27.24 ( mult @
% 185.84/27.24 ( mult @ ( mult @ a @ c ) @ ( mult @ b @ d ) ) @
% 185.84/27.24 ( mult @ ( mult @ a @ b ) @ ( mult @ c @ d ) ) )),
% 185.84/27.24 inference('cnf.neg', [status(esa)], [goals])).
% 185.84/27.24 thf(zip_derived_cl5, plain,
% 185.84/27.24 (((mult @ (mult @ (mult @ a @ b) @ (mult @ c @ d)) @
% 185.84/27.24 (mult @ (mult @ a @ c) @ (mult @ b @ d)))
% 185.84/27.24 != (mult @ (mult @ (mult @ a @ c) @ (mult @ b @ d)) @
% 185.84/27.24 (mult @ (mult @ a @ b) @ (mult @ c @ d))))),
% 185.84/27.24 inference('cnf', [status(esa)], [zf_stmt_0])).
% 185.84/27.24 thf(c03, axiom,
% 185.84/27.24 (( mult @
% 185.84/27.24 ( mult @ ( mult @ A @ B ) @ ( mult @ C @ D ) ) @
% 185.84/27.24 ( mult @
% 185.84/27.24 ( mult @ ( mult @ A @ B ) @ ( mult @ C @ D ) ) @
% 185.84/27.24 ( mult @ ( mult @ A @ C ) @ ( mult @ B @ D ) ) ) ) =
% 185.84/27.24 ( mult @ ( mult @ A @ C ) @ ( mult @ B @ D ) ))).
% 185.84/27.24 thf(zip_derived_cl2, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 185.84/27.24 ((mult @ (mult @ (mult @ X0 @ X2) @ (mult @ X1 @ X3)) @
% 185.84/27.24 (mult @ (mult @ (mult @ X0 @ X2) @ (mult @ X1 @ X3)) @
% 185.84/27.24 (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X3))))
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X3)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c03])).
% 185.84/27.24 thf(c01, axiom,
% 185.84/27.24 (( mult @ A @ ( mult @ B @ C ) ) =
% 185.84/27.24 ( mult @ ( mult @ A @ B ) @ ( mult @ A @ C ) ))).
% 185.84/27.24 thf(zip_derived_cl0, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ X0 @ (mult @ X1 @ X2))
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X0 @ X2)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c01])).
% 185.84/27.24 thf(zip_derived_cl0, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ X0 @ (mult @ X1 @ X2))
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X0 @ X2)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c01])).
% 185.84/27.24 thf(zip_derived_cl6, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 185.84/27.24 ((mult @ (mult @ X2 @ X1) @ (mult @ (mult @ X2 @ X0) @ X3))
% 185.84/27.24 = (mult @ (mult @ X2 @ (mult @ X1 @ X0)) @
% 185.84/27.24 (mult @ (mult @ X2 @ X1) @ X3)))),
% 185.84/27.24 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 185.84/27.24 thf(c02, axiom,
% 185.84/27.24 (( mult @ ( mult @ A @ B ) @ C ) =
% 185.84/27.24 ( mult @ ( mult @ A @ C ) @ ( mult @ B @ C ) ))).
% 185.84/27.24 thf(zip_derived_cl1, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ (mult @ X0 @ X2) @ X1)
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c02])).
% 185.84/27.24 thf(zip_derived_cl448, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ (mult @ X2 @ (mult @ X2 @ X1)) @ (mult @ X1 @ X0))
% 185.84/27.24 = (mult @ (mult @ X2 @ X1) @
% 185.84/27.24 (mult @ (mult @ X2 @ X0) @ (mult @ X1 @ X0))))),
% 185.84/27.24 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 185.84/27.24 thf(zip_derived_cl1, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ (mult @ X0 @ X2) @ X1)
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c02])).
% 185.84/27.24 thf(zip_derived_cl520, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ (mult @ X2 @ (mult @ X2 @ X1)) @ (mult @ X1 @ X0))
% 185.84/27.24 = (mult @ (mult @ X2 @ X1) @ (mult @ (mult @ X2 @ X1) @ X0)))),
% 185.84/27.24 inference('demod', [status(thm)], [zip_derived_cl448, zip_derived_cl1])).
% 185.84/27.24 thf(zip_derived_cl1, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ (mult @ X0 @ X2) @ X1)
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c02])).
% 185.84/27.24 thf(zip_derived_cl1, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ (mult @ X0 @ X2) @ X1)
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c02])).
% 185.84/27.24 thf(zip_derived_cl17, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 185.84/27.24 ((mult @ (mult @ X3 @ (mult @ X2 @ X0)) @ (mult @ X1 @ X0))
% 185.84/27.24 = (mult @ (mult @ X3 @ (mult @ X1 @ X0)) @
% 185.84/27.24 (mult @ (mult @ X2 @ X1) @ X0)))),
% 185.84/27.24 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 185.84/27.24 thf(zip_derived_cl3170, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i]:
% 185.84/27.24 ((mult @ (mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X0))) @
% 185.84/27.24 (mult @ X0 @ (mult @ X1 @ X0)))
% 185.84/27.24 = (mult @ (mult @ X0 @ (mult @ X1 @ X0)) @
% 185.84/27.24 (mult @ (mult @ X0 @ (mult @ X1 @ X0)) @ (mult @ X1 @ X0))))),
% 185.84/27.24 inference('s_sup+', [status(thm)], [zip_derived_cl520, zip_derived_cl17])).
% 185.84/27.24 thf(zip_derived_cl0, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ X0 @ (mult @ X1 @ X2))
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X0 @ X2)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c01])).
% 185.84/27.24 thf(zip_derived_cl0, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ X0 @ (mult @ X1 @ X2))
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X0 @ X2)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c01])).
% 185.84/27.24 thf(c05, axiom, (( mult @ A @ A ) = ( A ))).
% 185.84/27.24 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ X0) = (X0))),
% 185.84/27.24 inference('cnf', [status(esa)], [c05])).
% 185.84/27.24 thf(zip_derived_cl0, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ X0 @ (mult @ X1 @ X2))
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X0 @ X2)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c01])).
% 185.84/27.24 thf(zip_derived_cl9, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i]:
% 185.84/27.24 ((mult @ X0 @ (mult @ X1 @ X0)) = (mult @ (mult @ X0 @ X1) @ X0))),
% 185.84/27.24 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 185.84/27.24 thf(zip_derived_cl1, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ (mult @ X0 @ X2) @ X1)
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c02])).
% 185.84/27.24 thf(zip_derived_cl29, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X0)
% 185.84/27.24 = (mult @ (mult @ X0 @ (mult @ X1 @ X0)) @ (mult @ X2 @ X0)))),
% 185.84/27.24 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 185.84/27.24 thf(zip_derived_cl29, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X0)
% 185.84/27.24 = (mult @ (mult @ X0 @ (mult @ X1 @ X0)) @ (mult @ X2 @ X0)))),
% 185.84/27.24 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 185.84/27.24 thf(zip_derived_cl1, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ (mult @ X0 @ X2) @ X1)
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c02])).
% 185.84/27.24 thf(zip_derived_cl3280, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i]:
% 185.84/27.24 ((mult @ X0 @ (mult @ X1 @ (mult @ (mult @ X1 @ X0) @ X0)))
% 185.84/27.24 = (mult @ (mult @ (mult @ X0 @ (mult @ X0 @ X1)) @ X1) @ X0))),
% 185.84/27.24 inference('demod', [status(thm)],
% 185.84/27.24 [zip_derived_cl3170, zip_derived_cl0, zip_derived_cl0,
% 185.84/27.24 zip_derived_cl29, zip_derived_cl29, zip_derived_cl1])).
% 185.84/27.24 thf(zip_derived_cl27642, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 185.84/27.24 ((mult @ (mult @ (mult @ X3 @ X1) @ (mult @ X2 @ X0)) @
% 185.84/27.24 (mult @ (mult @ (mult @ X3 @ X2) @ (mult @ X1 @ X0)) @
% 185.84/27.24 (mult @
% 185.84/27.24 (mult @ (mult @ (mult @ X3 @ X2) @ (mult @ X1 @ X0)) @
% 185.84/27.24 (mult @ (mult @ X3 @ X1) @ (mult @ X2 @ X0))) @
% 185.84/27.24 (mult @ (mult @ X3 @ X1) @ (mult @ X2 @ X0)))))
% 185.84/27.24 = (mult @
% 185.84/27.24 (mult @ (mult @ (mult @ X3 @ X2) @ (mult @ X1 @ X0)) @
% 185.84/27.24 (mult @ (mult @ X3 @ X2) @ (mult @ X1 @ X0))) @
% 185.84/27.24 (mult @ (mult @ X3 @ X1) @ (mult @ X2 @ X0))))),
% 185.84/27.24 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl3280])).
% 185.84/27.24 thf(c04, axiom,
% 185.84/27.24 (( mult @
% 185.84/27.24 ( mult @
% 185.84/27.24 ( mult @ ( mult @ A @ B ) @ ( mult @ C @ D ) ) @
% 185.84/27.24 ( mult @ ( mult @ A @ C ) @ ( mult @ B @ D ) ) ) @
% 185.84/27.24 ( mult @ ( mult @ A @ C ) @ ( mult @ B @ D ) ) ) =
% 185.84/27.24 ( mult @ ( mult @ A @ B ) @ ( mult @ C @ D ) ))).
% 185.84/27.24 thf(zip_derived_cl3, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 185.84/27.24 ((mult @
% 185.84/27.24 (mult @ (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X3)) @
% 185.84/27.24 (mult @ (mult @ X0 @ X2) @ (mult @ X1 @ X3))) @
% 185.84/27.24 (mult @ (mult @ X0 @ X2) @ (mult @ X1 @ X3)))
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X3)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c04])).
% 185.84/27.24 thf(zip_derived_cl0, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ X0 @ (mult @ X1 @ X2))
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X0 @ X2)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c01])).
% 185.84/27.24 thf(zip_derived_cl0, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ X0 @ (mult @ X1 @ X2))
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X0 @ X2)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c01])).
% 185.84/27.24 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ X0) = (X0))),
% 185.84/27.24 inference('cnf', [status(esa)], [c05])).
% 185.84/27.24 thf(zip_derived_cl0, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ X0 @ (mult @ X1 @ X2))
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X0 @ X2)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c01])).
% 185.84/27.24 thf(zip_derived_cl0, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.84/27.24 ((mult @ X0 @ (mult @ X1 @ X2))
% 185.84/27.24 = (mult @ (mult @ X0 @ X1) @ (mult @ X0 @ X2)))),
% 185.84/27.24 inference('cnf', [status(esa)], [c01])).
% 185.84/27.24 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ X0) = (X0))),
% 185.84/27.24 inference('cnf', [status(esa)], [c05])).
% 185.84/27.24 thf(zip_derived_cl27739, plain,
% 185.84/27.24 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 185.84/27.24 ((mult @ (mult @ (mult @ X3 @ X1) @ (mult @ X2 @ X0)) @
% 185.84/27.24 (mult @ (mult @ X3 @ X2) @ (mult @ X1 @ X0)))
% 185.84/27.24 = (mult @ (mult @ (mult @ X3 @ X2) @ (mult @ X1 @ X0)) @
% 185.84/27.24 (mult @ (mult @ X3 @ X1) @ (mult @ X2 @ X0))))),
% 185.84/27.24 inference('demod', [status(thm)],
% 185.84/27.24 [zip_derived_cl27642, zip_derived_cl3, zip_derived_cl0,
% 185.84/27.24 zip_derived_cl0, zip_derived_cl4, zip_derived_cl0,
% 185.84/27.24 zip_derived_cl0, zip_derived_cl4])).
% 185.84/27.24 thf(zip_derived_cl31418, plain,
% 185.84/27.24 (((mult @ (mult @ (mult @ a @ b) @ (mult @ c @ d)) @
% 185.84/27.24 (mult @ (mult @ a @ c) @ (mult @ b @ d)))
% 185.84/27.24 != (mult @ (mult @ (mult @ a @ b) @ (mult @ c @ d)) @
% 185.84/27.24 (mult @ (mult @ a @ c) @ (mult @ b @ d))))),
% 185.84/27.24 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl27739])).
% 185.84/27.24 thf(zip_derived_cl31419, plain, ($false),
% 185.84/27.24 inference('simplify', [status(thm)], [zip_derived_cl31418])).
% 185.84/27.24
% 185.84/27.24 % SZS output end Refutation
% 185.84/27.24
% 185.84/27.24
% 185.84/27.24 % Terminating...
% 186.10/27.36 % Runner terminated.
% 186.10/27.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------