%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP710-10 : TPTP v9.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5TsXsDwpBg true
% Computer : n018.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 04:37:08 PM UTC 2025
% Result : Unsatisfiable 0.50s 0.84s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13 % Problem : GRP710-10 : TPTP v9.2.0. Released v8.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5TsXsDwpBg true
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 14:09:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.45/0.60 % Total configuration time : 435
% 0.45/0.60 % Estimated wc time : 1092
% 0.45/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.84 % Solved by fo/fo3_bce.sh.
% 0.50/0.84 % BCE start: 6
% 0.50/0.84 % BCE eliminated: 0
% 0.50/0.84 % PE start: 6
% 0.50/0.84 logic: eq
% 0.50/0.84 % PE eliminated: 0
% 0.50/0.84 % done 70 iterations in 0.106s
% 0.50/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.84 % SZS output start Refutation
% 0.50/0.84 thf(x0_type, type, x0: $i).
% 0.50/0.84 thf(unit_type, type, unit: $i).
% 0.50/0.84 thf(x1_type, type, x1: $i).
% 0.50/0.84 thf(mult_type, type, mult: $i > $i > $i).
% 0.50/0.84 thf(i_type, type, i: $i > $i).
% 0.50/0.84 thf(f05, axiom, (( mult @ ( i @ A ) @ A ) = ( unit ))).
% 0.50/0.84 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 0.50/0.84 inference('cnf', [status(esa)], [f05])).
% 0.50/0.84 thf(f03, axiom,
% 0.50/0.84 (( mult @ A @ ( mult @ B @ ( mult @ B @ C ) ) ) =
% 0.50/0.84 ( mult @ ( mult @ ( mult @ A @ B ) @ B ) @ C ))).
% 0.50/0.84 thf(zip_derived_cl2, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.84 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 0.50/0.84 = (mult @ (mult @ (mult @ X0 @ X1) @ X1) @ X2))),
% 0.50/0.84 inference('cnf', [status(esa)], [f03])).
% 0.50/0.84 thf(zip_derived_cl27, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ (i @ X1) @ (mult @ X1 @ (mult @ X1 @ X0)))
% 0.50/0.84 = (mult @ (mult @ unit @ X1) @ X0))),
% 0.50/0.84 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.50/0.84 thf(f02, axiom, (( mult @ unit @ A ) = ( A ))).
% 0.50/0.84 thf(zip_derived_cl1, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 0.50/0.84 inference('cnf', [status(esa)], [f02])).
% 0.50/0.84 thf(zip_derived_cl30, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ (i @ X1) @ (mult @ X1 @ (mult @ X1 @ X0))) = (mult @ X1 @ X0))),
% 0.50/0.84 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 0.50/0.84 thf(zip_derived_cl30, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ (i @ X1) @ (mult @ X1 @ (mult @ X1 @ X0))) = (mult @ X1 @ X0))),
% 0.50/0.84 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 0.50/0.84 thf(zip_derived_cl250, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ (i @ (i @ X1)) @ (mult @ (i @ X1) @ (mult @ X1 @ X0)))
% 0.50/0.84 = (mult @ (i @ X1) @ (mult @ X1 @ (mult @ X1 @ X0))))),
% 0.50/0.84 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl30])).
% 0.50/0.84 thf(f04, axiom, (( mult @ A @ ( i @ A ) ) = ( unit ))).
% 0.50/0.84 thf(zip_derived_cl3, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 0.50/0.84 inference('cnf', [status(esa)], [f04])).
% 0.50/0.84 thf(zip_derived_cl2, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.84 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 0.50/0.84 = (mult @ (mult @ (mult @ X0 @ X1) @ X1) @ X2))),
% 0.50/0.84 inference('cnf', [status(esa)], [f03])).
% 0.50/0.84 thf(f01, axiom, (( mult @ A @ unit ) = ( A ))).
% 0.50/0.84 thf(zip_derived_cl0, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 0.50/0.84 inference('cnf', [status(esa)], [f01])).
% 0.50/0.84 thf(zip_derived_cl10, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ X1 @ (mult @ X0 @ (mult @ X0 @ unit)))
% 0.50/0.84 = (mult @ (mult @ X1 @ X0) @ X0))),
% 0.50/0.84 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.50/0.84 thf(zip_derived_cl0, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 0.50/0.84 inference('cnf', [status(esa)], [f01])).
% 0.50/0.84 thf(zip_derived_cl25, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0))),
% 0.50/0.84 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 0.50/0.84 thf(zip_derived_cl51, plain,
% 0.50/0.84 (![X0 : $i]:
% 0.50/0.84 ((mult @ X0 @ (mult @ (i @ X0) @ (i @ X0))) = (mult @ unit @ (i @ X0)))),
% 0.50/0.84 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl25])).
% 0.50/0.84 thf(zip_derived_cl1, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 0.50/0.84 inference('cnf', [status(esa)], [f02])).
% 0.50/0.84 thf(zip_derived_cl57, plain,
% 0.50/0.84 (![X0 : $i]: ((mult @ X0 @ (mult @ (i @ X0) @ (i @ X0))) = (i @ X0))),
% 0.50/0.84 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl1])).
% 0.50/0.84 thf(zip_derived_cl3, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 0.50/0.84 inference('cnf', [status(esa)], [f04])).
% 0.50/0.84 thf(zip_derived_cl2, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.84 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 0.50/0.84 = (mult @ (mult @ (mult @ X0 @ X1) @ X1) @ X2))),
% 0.50/0.84 inference('cnf', [status(esa)], [f03])).
% 0.50/0.84 thf(zip_derived_cl16, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ X1 @ (mult @ (i @ X1) @ (mult @ (i @ X1) @ X0)))
% 0.50/0.84 = (mult @ (mult @ unit @ (i @ X1)) @ X0))),
% 0.50/0.84 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 0.50/0.84 thf(zip_derived_cl1, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 0.50/0.84 inference('cnf', [status(esa)], [f02])).
% 0.50/0.84 thf(zip_derived_cl21, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ X1 @ (mult @ (i @ X1) @ (mult @ (i @ X1) @ X0)))
% 0.50/0.84 = (mult @ (i @ X1) @ X0))),
% 0.50/0.84 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 0.50/0.84 thf(zip_derived_cl193, plain,
% 0.50/0.84 (![X0 : $i]:
% 0.50/0.84 ((mult @ X0 @ (mult @ (i @ X0) @ (i @ (i @ X0))))
% 0.50/0.84 = (mult @ (i @ X0) @ (mult @ (i @ (i @ X0)) @ (i @ (i @ X0)))))),
% 0.50/0.84 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl21])).
% 0.50/0.84 thf(zip_derived_cl3, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 0.50/0.84 inference('cnf', [status(esa)], [f04])).
% 0.50/0.84 thf(zip_derived_cl0, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 0.50/0.84 inference('cnf', [status(esa)], [f01])).
% 0.50/0.84 thf(zip_derived_cl57, plain,
% 0.50/0.84 (![X0 : $i]: ((mult @ X0 @ (mult @ (i @ X0) @ (i @ X0))) = (i @ X0))),
% 0.50/0.84 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl1])).
% 0.50/0.84 thf(zip_derived_cl204, plain, (![X0 : $i]: ((X0) = (i @ (i @ X0)))),
% 0.50/0.84 inference('demod', [status(thm)],
% 0.50/0.84 [zip_derived_cl193, zip_derived_cl3, zip_derived_cl0,
% 0.50/0.84 zip_derived_cl57])).
% 0.50/0.84 thf(zip_derived_cl30, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ (i @ X1) @ (mult @ X1 @ (mult @ X1 @ X0))) = (mult @ X1 @ X0))),
% 0.50/0.84 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 0.50/0.84 thf(zip_derived_cl268, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ X1 @ (mult @ (i @ X1) @ (mult @ X1 @ X0))) = (mult @ X1 @ X0))),
% 0.50/0.84 inference('demod', [status(thm)],
% 0.50/0.84 [zip_derived_cl250, zip_derived_cl204, zip_derived_cl30])).
% 0.50/0.84 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 0.50/0.84 inference('cnf', [status(esa)], [f05])).
% 0.50/0.84 thf(zip_derived_cl2, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.84 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 0.50/0.84 = (mult @ (mult @ (mult @ X0 @ X1) @ X1) @ X2))),
% 0.50/0.84 inference('cnf', [status(esa)], [f03])).
% 0.50/0.84 thf(zip_derived_cl25, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0))),
% 0.50/0.84 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 0.50/0.84 thf(zip_derived_cl47, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.84 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 0.50/0.84 = (mult @ (mult @ X0 @ (mult @ X1 @ X1)) @ X2))),
% 0.50/0.84 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl25])).
% 0.50/0.84 thf(zip_derived_cl459, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ (i @ (mult @ X1 @ X1)) @ (mult @ X1 @ (mult @ X1 @ X0)))
% 0.50/0.84 = (mult @ unit @ X0))),
% 0.50/0.84 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl47])).
% 0.50/0.84 thf(zip_derived_cl1, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 0.50/0.84 inference('cnf', [status(esa)], [f02])).
% 0.50/0.84 thf(zip_derived_cl475, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ (i @ (mult @ X1 @ X1)) @ (mult @ X1 @ (mult @ X1 @ X0)))
% 0.50/0.84 = (X0))),
% 0.50/0.84 inference('demod', [status(thm)], [zip_derived_cl459, zip_derived_cl1])).
% 0.50/0.84 thf(zip_derived_cl513, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ (i @ (mult @ X1 @ X1)) @ (mult @ X1 @ (mult @ X1 @ X0)))
% 0.50/0.84 = (mult @ (i @ X1) @ (mult @ X1 @ X0)))),
% 0.50/0.84 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl475])).
% 0.50/0.84 thf(zip_derived_cl475, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ (i @ (mult @ X1 @ X1)) @ (mult @ X1 @ (mult @ X1 @ X0)))
% 0.50/0.84 = (X0))),
% 0.50/0.84 inference('demod', [status(thm)], [zip_derived_cl459, zip_derived_cl1])).
% 0.50/0.84 thf(zip_derived_cl540, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]: ((X0) = (mult @ (i @ X1) @ (mult @ X1 @ X0)))),
% 0.50/0.84 inference('demod', [status(thm)], [zip_derived_cl513, zip_derived_cl475])).
% 0.50/0.84 thf(zip_derived_cl21, plain,
% 0.50/0.84 (![X0 : $i, X1 : $i]:
% 0.50/0.84 ((mult @ X1 @ (mult @ (i @ X1) @ (mult @ (i @ X1) @ X0)))
% 0.50/0.84 = (mult @ (i @ X1) @ X0))),
% 0.50/0.84 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 0.50/0.84 thf(goal, conjecture, (( mult @ x0 @ X2 ) = ( x1 ))).
% 0.50/0.84 thf(zf_stmt_0, negated_conjecture, (( mult @ x0 @ X2 ) != ( x1 )),
% 0.50/0.84 inference('cnf.neg', [status(esa)], [goal])).
% 0.50/0.84 thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ x0 @ X0) != (x1))),
% 0.50/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.84 thf(zip_derived_cl73, plain, (![X0 : $i]: ((mult @ (i @ x0) @ X0) != (x1))),
% 0.50/0.84 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl5])).
% 0.50/0.84 thf(zip_derived_cl568, plain, (![X0 : $i]: ((X0) != (x1))),
% 0.50/0.84 inference('sup-', [status(thm)], [zip_derived_cl540, zip_derived_cl73])).
% 0.50/0.84 thf(zip_derived_cl595, plain, ($false),
% 0.50/0.84 inference('eq_res', [status(thm)], [zip_derived_cl568])).
% 0.50/0.84
% 0.50/0.84 % SZS output end Refutation
% 0.50/0.84
% 0.50/0.84
% 0.50/0.84 % Terminating...
% 0.52/0.92 % Runner terminated.
% 1.91/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------