%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP748-3 : 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.QqCr8X74mr 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 04:37:11 PM UTC 2025
% Result : Unsatisfiable 12.37s 2.40s
% Output : Refutation 12.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP748-3 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QqCr8X74mr true
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 14:07:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.49/0.60 % Total configuration time : 435
% 0.49/0.60 % Estimated wc time : 1092
% 0.49/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.66 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 12.37/2.40 % Solved by fo/fo5.sh.
% 12.37/2.40 % done 1291 iterations in 1.614s
% 12.37/2.40 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.37/2.40 % SZS output start Refutation
% 12.37/2.40 thf(b_type, type, b: $i).
% 12.37/2.40 thf(a_type, type, a: $i).
% 12.37/2.40 thf(i_type, type, i: $i > $i).
% 12.37/2.40 thf(ld_type, type, ld: $i > $i > $i).
% 12.37/2.40 thf(rd_type, type, rd: $i > $i > $i).
% 12.37/2.40 thf(c_type, type, c: $i).
% 12.37/2.40 thf(mult_type, type, mult: $i > $i > $i).
% 12.37/2.40 thf(unit_type, type, unit: $i).
% 12.37/2.40 thf(goals, conjecture,
% 12.37/2.40 (( mult @ a @ ( mult @ b @ ( mult @ c @ b ) ) ) =
% 12.37/2.40 ( mult @ ( mult @ ( mult @ a @ b ) @ c ) @ b ))).
% 12.37/2.40 thf(zf_stmt_0, negated_conjecture,
% 12.37/2.40 (( mult @ a @ ( mult @ b @ ( mult @ c @ b ) ) ) !=
% 12.37/2.40 ( mult @ ( mult @ ( mult @ a @ b ) @ c ) @ b )),
% 12.37/2.40 inference('cnf.neg', [status(esa)], [goals])).
% 12.37/2.40 thf(zip_derived_cl11, plain,
% 12.37/2.40 (((mult @ a @ (mult @ b @ (mult @ c @ b)))
% 12.37/2.40 != (mult @ (mult @ (mult @ a @ b) @ c) @ b))),
% 12.37/2.40 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.37/2.40 thf(f07, axiom,
% 12.37/2.40 (( mult @ ( mult @ ( mult @ A @ B ) @ C ) @ B ) =
% 12.37/2.40 ( mult @ A @ ( mult @ ( mult @ B @ C ) @ B ) ))).
% 12.37/2.40 thf(zip_derived_cl6, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.37/2.40 ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X1)
% 12.37/2.40 = (mult @ X0 @ (mult @ (mult @ X1 @ X2) @ X1)))),
% 12.37/2.40 inference('cnf', [status(esa)], [f07])).
% 12.37/2.40 thf(zip_derived_cl87, plain,
% 12.37/2.40 (((mult @ a @ (mult @ b @ (mult @ c @ b)))
% 12.37/2.40 != (mult @ a @ (mult @ (mult @ b @ c) @ b)))),
% 12.37/2.40 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl6])).
% 12.37/2.40 thf(f10, axiom, (( mult @ ( i @ A ) @ A ) = ( unit ))).
% 12.37/2.40 thf(zip_derived_cl9, plain, (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 12.37/2.40 inference('cnf', [status(esa)], [f10])).
% 12.37/2.40 thf(zip_derived_cl6, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.37/2.40 ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X1)
% 12.37/2.40 = (mult @ X0 @ (mult @ (mult @ X1 @ X2) @ X1)))),
% 12.37/2.40 inference('cnf', [status(esa)], [f07])).
% 12.37/2.40 thf(zip_derived_cl111, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]:
% 12.37/2.40 ((mult @ (mult @ unit @ X1) @ X0)
% 12.37/2.40 = (mult @ (i @ X0) @ (mult @ (mult @ X0 @ X1) @ X0)))),
% 12.37/2.40 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 12.37/2.40 thf(f06, axiom, (( mult @ unit @ A ) = ( A ))).
% 12.37/2.40 thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 12.37/2.40 inference('cnf', [status(esa)], [f06])).
% 12.37/2.40 thf(zip_derived_cl122, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]:
% 12.37/2.40 ((mult @ X1 @ X0) = (mult @ (i @ X0) @ (mult @ (mult @ X0 @ X1) @ X0)))),
% 12.37/2.40 inference('demod', [status(thm)], [zip_derived_cl111, zip_derived_cl5])).
% 12.37/2.40 thf(zip_derived_cl9, plain, (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 12.37/2.40 inference('cnf', [status(esa)], [f10])).
% 12.37/2.40 thf(f02, axiom, (( ld @ A @ ( mult @ A @ B ) ) = ( B ))).
% 12.37/2.40 thf(zip_derived_cl1, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 12.37/2.40 inference('cnf', [status(esa)], [f02])).
% 12.37/2.40 thf(zip_derived_cl24, plain, (![X0 : $i]: ((ld @ (i @ X0) @ unit) = (X0))),
% 12.37/2.40 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 12.37/2.40 thf(f09, axiom, (( mult @ A @ ( i @ A ) ) = ( unit ))).
% 12.37/2.40 thf(zip_derived_cl8, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 12.37/2.40 inference('cnf', [status(esa)], [f09])).
% 12.37/2.40 thf(zip_derived_cl1, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 12.37/2.40 inference('cnf', [status(esa)], [f02])).
% 12.37/2.40 thf(zip_derived_cl22, plain, (![X0 : $i]: ((ld @ X0 @ unit) = (i @ X0))),
% 12.37/2.40 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 12.37/2.40 thf(zip_derived_cl136, plain, (![X0 : $i]: ((X0) = (i @ (i @ X0)))),
% 12.37/2.40 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl22])).
% 12.37/2.40 thf(f01, axiom, (( mult @ A @ ( ld @ A @ B ) ) = ( B ))).
% 12.37/2.40 thf(zip_derived_cl0, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 12.37/2.40 inference('cnf', [status(esa)], [f01])).
% 12.37/2.40 thf(f11, axiom,
% 12.37/2.40 (( ( mult @ A @ B ) = ( mult @ B @ A ) ) |
% 12.37/2.40 ( ( mult @ ( i @ A ) @ ( mult @ A @ B ) ) = ( B ) ))).
% 12.37/2.40 thf(zip_derived_cl10, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]:
% 12.37/2.40 (((mult @ X1 @ X0) = (mult @ X0 @ X1))
% 12.37/2.40 | ((mult @ (i @ X1) @ (mult @ X1 @ X0)) = (X0)))),
% 12.37/2.40 inference('cnf', [status(esa)], [f11])).
% 12.37/2.40 thf(zip_derived_cl66, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]:
% 12.37/2.40 (((mult @ (i @ X1) @ X0) = (ld @ X1 @ X0))
% 12.37/2.40 | ((mult @ X1 @ (ld @ X1 @ X0)) = (mult @ (ld @ X1 @ X0) @ X1)))),
% 12.37/2.40 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl10])).
% 12.37/2.40 thf(zip_derived_cl0, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 12.37/2.40 inference('cnf', [status(esa)], [f01])).
% 12.37/2.40 thf(zip_derived_cl76, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]:
% 12.37/2.40 (((mult @ (i @ X1) @ X0) = (ld @ X1 @ X0))
% 12.37/2.40 | ((X0) = (mult @ (ld @ X1 @ X0) @ X1)))),
% 12.37/2.40 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl0])).
% 12.37/2.40 thf(f04, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 12.37/2.40 thf(zip_derived_cl3, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 12.37/2.40 inference('cnf', [status(esa)], [f04])).
% 12.37/2.40 thf(zip_derived_cl1108, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]:
% 12.37/2.40 (((rd @ X0 @ X1) = (ld @ X1 @ X0))
% 12.37/2.40 | ((mult @ (i @ X1) @ X0) = (ld @ X1 @ X0)))),
% 12.37/2.40 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl3])).
% 12.37/2.40 thf(zip_derived_cl136, plain, (![X0 : $i]: ((X0) = (i @ (i @ X0)))),
% 12.37/2.40 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl22])).
% 12.37/2.40 thf(zip_derived_cl10, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]:
% 12.37/2.40 (((mult @ X1 @ X0) = (mult @ X0 @ X1))
% 12.37/2.40 | ((mult @ (i @ X1) @ (mult @ X1 @ X0)) = (X0)))),
% 12.37/2.40 inference('cnf', [status(esa)], [f11])).
% 12.37/2.40 thf(zip_derived_cl1, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 12.37/2.40 inference('cnf', [status(esa)], [f02])).
% 12.37/2.40 thf(zip_derived_cl62, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]:
% 12.37/2.40 (((ld @ (i @ X1) @ X0) = (mult @ X1 @ X0))
% 12.37/2.40 | ((mult @ X1 @ X0) = (mult @ X0 @ X1)))),
% 12.37/2.40 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 12.37/2.40 thf(zip_derived_cl633, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]:
% 12.37/2.40 (((ld @ X0 @ X1) = (mult @ (i @ X0) @ X1))
% 12.37/2.40 | ((mult @ (i @ X0) @ X1) = (mult @ X1 @ (i @ X0))))),
% 12.37/2.40 inference('sup+', [status(thm)], [zip_derived_cl136, zip_derived_cl62])).
% 12.37/2.40 thf(f03, axiom, (( mult @ ( rd @ A @ B ) @ B ) = ( A ))).
% 12.37/2.40 thf(zip_derived_cl2, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 12.37/2.40 inference('cnf', [status(esa)], [f03])).
% 12.37/2.40 thf(f08, axiom, (( mult @ ( mult @ A @ B ) @ ( i @ B ) ) = ( A ))).
% 12.37/2.40 thf(zip_derived_cl7, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]: ((mult @ (mult @ X0 @ X1) @ (i @ X1)) = (X0))),
% 12.37/2.40 inference('cnf', [status(esa)], [f08])).
% 12.37/2.40 thf(zip_derived_cl57, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]: ((mult @ X0 @ (i @ X1)) = (rd @ X0 @ X1))),
% 12.37/2.40 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 12.37/2.40 thf(zip_derived_cl648, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]:
% 12.37/2.40 (((ld @ X0 @ X1) = (mult @ (i @ X0) @ X1))
% 12.37/2.40 | ((mult @ (i @ X0) @ X1) = (rd @ X1 @ X0)))),
% 12.37/2.40 inference('demod', [status(thm)], [zip_derived_cl633, zip_derived_cl57])).
% 12.37/2.40 thf(zip_derived_cl9213, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]:
% 12.37/2.40 (((rd @ X1 @ X0) != (ld @ X0 @ X1))
% 12.37/2.40 | ((ld @ X0 @ X1) = (mult @ (i @ X0) @ X1)))),
% 12.37/2.40 inference('eq_fact', [status(thm)], [zip_derived_cl648])).
% 12.37/2.40 thf(zip_derived_cl10174, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]: ((mult @ (i @ X1) @ X0) = (ld @ X1 @ X0))),
% 12.37/2.40 inference('clc', [status(thm)], [zip_derived_cl1108, zip_derived_cl9213])).
% 12.37/2.40 thf(zip_derived_cl10269, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]: ((mult @ X0 @ X1) = (ld @ (i @ X0) @ X1))),
% 12.37/2.40 inference('sup+', [status(thm)], [zip_derived_cl136, zip_derived_cl10174])).
% 12.37/2.40 thf(zip_derived_cl0, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 12.37/2.40 inference('cnf', [status(esa)], [f01])).
% 12.37/2.40 thf(zip_derived_cl10330, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]: ((mult @ (i @ X1) @ (mult @ X1 @ X0)) = (X0))),
% 12.37/2.40 inference('sup+', [status(thm)], [zip_derived_cl10269, zip_derived_cl0])).
% 12.37/2.40 thf(zip_derived_cl10641, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]:
% 12.37/2.40 ((mult @ (i @ (i @ X0)) @ (mult @ X1 @ X0))
% 12.37/2.40 = (mult @ (mult @ X0 @ X1) @ X0))),
% 12.37/2.40 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl10330])).
% 12.37/2.40 thf(zip_derived_cl136, plain, (![X0 : $i]: ((X0) = (i @ (i @ X0)))),
% 12.37/2.40 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl22])).
% 12.37/2.40 thf(zip_derived_cl10679, plain,
% 12.37/2.40 (![X0 : $i, X1 : $i]:
% 12.37/2.40 ((mult @ X0 @ (mult @ X1 @ X0)) = (mult @ (mult @ X0 @ X1) @ X0))),
% 12.37/2.40 inference('demod', [status(thm)],
% 12.37/2.40 [zip_derived_cl10641, zip_derived_cl136])).
% 12.37/2.40 thf(zip_derived_cl11918, plain,
% 12.37/2.40 (((mult @ a @ (mult @ b @ (mult @ c @ b)))
% 12.37/2.40 != (mult @ a @ (mult @ b @ (mult @ c @ b))))),
% 12.37/2.40 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl10679])).
% 12.37/2.40 thf(zip_derived_cl11919, plain, ($false),
% 12.37/2.40 inference('simplify', [status(thm)], [zip_derived_cl11918])).
% 12.37/2.40
% 12.37/2.40 % SZS output end Refutation
% 12.37/2.40
% 12.37/2.40
% 12.37/2.40 % Terminating...
% 12.75/2.51 % Runner terminated.
% 12.75/2.52 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------