%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP750-1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gvke057CXG true
% Computer : n011.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 105.20s 19.05s
% Output : Refutation 105.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP750-1 : TPTP v9.2.0. Released v4.0.0.
% 0.09/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gvke057CXG true
% 0.10/0.32 % Computer : n011.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 14:23:23 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox2/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
% 0.41/0.60 % Total configuration time : 435
% 0.41/0.60 % Estimated wc time : 1092
% 0.41/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.41/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.41/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.41/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.41/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.41/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.41/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.41/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 105.20/19.05 % Solved by fo/fo5.sh.
% 105.20/19.05 % done 523 iterations in 18.320s
% 105.20/19.05 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 105.20/19.05 % SZS output start Refutation
% 105.20/19.05 thf(a_type, type, a: $i).
% 105.20/19.05 thf(ld_type, type, ld: $i > $i > $i).
% 105.20/19.05 thf(rd_type, type, rd: $i > $i > $i).
% 105.20/19.05 thf(c_type, type, c: $i).
% 105.20/19.05 thf(mult_type, type, mult: $i > $i > $i).
% 105.20/19.05 thf(b_type, type, b: $i).
% 105.20/19.05 thf(goals, conjecture,
% 105.20/19.05 (( mult @ ( mult @ a @ a ) @ ( mult @ b @ c ) ) =
% 105.20/19.05 ( mult @ ( mult @ a @ b ) @ ( mult @ a @ c ) ))).
% 105.20/19.05 thf(zf_stmt_0, negated_conjecture,
% 105.20/19.05 (( mult @ ( mult @ a @ a ) @ ( mult @ b @ c ) ) !=
% 105.20/19.05 ( mult @ ( mult @ a @ b ) @ ( mult @ a @ c ) )),
% 105.20/19.05 inference('cnf.neg', [status(esa)], [goals])).
% 105.20/19.05 thf(zip_derived_cl6, plain,
% 105.20/19.05 (((mult @ (mult @ a @ a) @ (mult @ b @ c))
% 105.20/19.05 != (mult @ (mult @ a @ b) @ (mult @ a @ c)))),
% 105.20/19.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 105.20/19.05 thf(f02, axiom, (( ld @ A @ ( mult @ A @ B ) ) = ( B ))).
% 105.20/19.05 thf(zip_derived_cl1, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f02])).
% 105.20/19.05 thf(f06, axiom,
% 105.20/19.05 (( mult @ ( mult @ A @ B ) @ ( mult @ C @ C ) ) =
% 105.20/19.05 ( mult @ ( mult @ A @ C ) @ ( mult @ B @ C ) ))).
% 105.20/19.05 thf(zip_derived_cl5, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ X0 @ X2) @ (mult @ X1 @ X1))
% 105.20/19.05 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 105.20/19.05 inference('cnf', [status(esa)], [f06])).
% 105.20/19.05 thf(zip_derived_cl1, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f02])).
% 105.20/19.05 thf(zip_derived_cl19, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((ld @ (mult @ X2 @ X1) @ (mult @ (mult @ X2 @ X0) @ (mult @ X1 @ X0)))
% 105.20/19.05 = (mult @ X0 @ X0))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 105.20/19.05 thf(f01, axiom, (( mult @ A @ ( ld @ A @ B ) ) = ( B ))).
% 105.20/19.05 thf(zip_derived_cl0, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f01])).
% 105.20/19.05 thf(zip_derived_cl0, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f01])).
% 105.20/19.05 thf(f04, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 105.20/19.05 thf(zip_derived_cl3, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f04])).
% 105.20/19.05 thf(zip_derived_cl3, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f04])).
% 105.20/19.05 thf(f03, axiom, (( mult @ ( rd @ A @ B ) @ B ) = ( A ))).
% 105.20/19.05 thf(zip_derived_cl2, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f03])).
% 105.20/19.05 thf(zip_derived_cl5, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ X0 @ X2) @ (mult @ X1 @ X1))
% 105.20/19.05 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 105.20/19.05 inference('cnf', [status(esa)], [f06])).
% 105.20/19.05 thf(zip_derived_cl37, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ (rd @ X0 @ X1) @ X2) @ (mult @ X1 @ X1))
% 105.20/19.05 = (mult @ X0 @ (mult @ X2 @ X1)))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 105.20/19.05 thf(zip_derived_cl2, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f03])).
% 105.20/19.05 thf(zip_derived_cl5, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ X0 @ X2) @ (mult @ X1 @ X1))
% 105.20/19.05 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 105.20/19.05 inference('cnf', [status(esa)], [f06])).
% 105.20/19.05 thf(zip_derived_cl3, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f04])).
% 105.20/19.05 thf(zip_derived_cl14, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((rd @ (mult @ (mult @ X2 @ X1) @ (mult @ X0 @ X0)) @ (mult @ X1 @ X0))
% 105.20/19.05 = (mult @ X2 @ X0))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 105.20/19.05 thf(zip_derived_cl128, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((rd @ (mult @ X0 @ (mult @ X1 @ X1)) @ (mult @ X2 @ X1))
% 105.20/19.05 = (mult @ (rd @ X0 @ X2) @ X1))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl14])).
% 105.20/19.05 thf(zip_derived_cl601, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 105.20/19.05 ((rd @ (mult @ X2 @ (mult @ X1 @ X0)) @ (mult @ X3 @ X0))
% 105.20/19.05 = (mult @ (rd @ (mult @ (rd @ X2 @ X0) @ X1) @ X3) @ X0))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl128])).
% 105.20/19.05 thf(f05, axiom,
% 105.20/19.05 (( mult @ ( mult @ A @ ( mult @ A @ A ) ) @ ( mult @ B @ C ) ) =
% 105.20/19.05 ( mult @ ( mult @ A @ B ) @ ( mult @ ( mult @ A @ A ) @ C ) ))).
% 105.20/19.05 thf(zip_derived_cl4, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ X0 @ (mult @ X0 @ X0)) @ (mult @ X1 @ X2))
% 105.20/19.05 = (mult @ (mult @ X0 @ X1) @ (mult @ (mult @ X0 @ X0) @ X2)))),
% 105.20/19.05 inference('cnf', [status(esa)], [f05])).
% 105.20/19.05 thf(zip_derived_cl3, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f04])).
% 105.20/19.05 thf(zip_derived_cl45, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((rd @ (mult @ (mult @ X2 @ (mult @ X2 @ X2)) @ (mult @ X1 @ X0)) @
% 105.20/19.05 (mult @ (mult @ X2 @ X2) @ X0)) = (mult @ X2 @ X1))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 105.20/19.05 thf(zip_derived_cl6615, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @
% 105.20/19.05 (rd @ (mult @ (rd @ (mult @ X1 @ (mult @ X1 @ X1)) @ X0) @ X2) @
% 105.20/19.05 (mult @ X1 @ X1)) @
% 105.20/19.05 X0) = (mult @ X1 @ X2))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl45])).
% 105.20/19.05 thf(zip_derived_cl2, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f03])).
% 105.20/19.05 thf(zip_derived_cl128, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((rd @ (mult @ X0 @ (mult @ X1 @ X1)) @ (mult @ X2 @ X1))
% 105.20/19.05 = (mult @ (rd @ X0 @ X2) @ X1))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl14])).
% 105.20/19.05 thf(zip_derived_cl592, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((rd @ (mult @ X2 @ (mult @ X1 @ X1)) @ X0)
% 105.20/19.05 = (mult @ (rd @ X2 @ (rd @ X0 @ X1)) @ X1))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl128])).
% 105.20/19.05 thf(zip_derived_cl2, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f03])).
% 105.20/19.05 thf(zip_derived_cl5, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ X0 @ X2) @ (mult @ X1 @ X1))
% 105.20/19.05 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 105.20/19.05 inference('cnf', [status(esa)], [f06])).
% 105.20/19.05 thf(zip_derived_cl3, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f04])).
% 105.20/19.05 thf(zip_derived_cl20, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((rd @ (mult @ (mult @ X2 @ X0) @ (mult @ X1 @ X0)) @ (mult @ X0 @ X0))
% 105.20/19.05 = (mult @ X2 @ X1))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 105.20/19.05 thf(zip_derived_cl168, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((rd @ (mult @ (mult @ X2 @ X1) @ X0) @ (mult @ X1 @ X1))
% 105.20/19.05 = (mult @ X2 @ (rd @ X0 @ X1)))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl20])).
% 105.20/19.05 thf(zip_derived_cl6735, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ (rd @ X1 @ (rd @ X0 @ X1)) @ (rd @ X2 @ X1)) @ X0)
% 105.20/19.05 = (mult @ X1 @ X2))),
% 105.20/19.05 inference('demod', [status(thm)],
% 105.20/19.05 [zip_derived_cl6615, zip_derived_cl592, zip_derived_cl168])).
% 105.20/19.05 thf(zip_derived_cl6870, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ (rd @ X1 @ (rd @ X2 @ X1)) @ X0) @ X2)
% 105.20/19.05 = (mult @ X1 @ (mult @ X0 @ X1)))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6735])).
% 105.20/19.05 thf(zip_derived_cl7062, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ (rd @ X1 @ X0) @ X2) @ (mult @ X0 @ X1))
% 105.20/19.05 = (mult @ X1 @ (mult @ X2 @ X1)))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6870])).
% 105.20/19.05 thf(zip_derived_cl2, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f03])).
% 105.20/19.05 thf(zip_derived_cl20, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((rd @ (mult @ (mult @ X2 @ X0) @ (mult @ X1 @ X0)) @ (mult @ X0 @ X0))
% 105.20/19.05 = (mult @ X2 @ X1))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 105.20/19.05 thf(zip_derived_cl174, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((rd @ (mult @ X0 @ (mult @ X1 @ X2)) @ (mult @ X2 @ X2))
% 105.20/19.05 = (mult @ (rd @ X0 @ X2) @ X1))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl20])).
% 105.20/19.05 thf(zip_derived_cl7182, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((rd @ (mult @ X0 @ (mult @ X1 @ X0)) @ (mult @ X0 @ X0))
% 105.20/19.05 = (mult @ (rd @ (mult @ (rd @ X0 @ X2) @ X1) @ X0) @ X2))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl7062, zip_derived_cl174])).
% 105.20/19.05 thf(zip_derived_cl174, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((rd @ (mult @ X0 @ (mult @ X1 @ X2)) @ (mult @ X2 @ X2))
% 105.20/19.05 = (mult @ (rd @ X0 @ X2) @ X1))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl20])).
% 105.20/19.05 thf(zip_derived_cl7306, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (rd @ X0 @ X0) @ X1)
% 105.20/19.05 = (mult @ (rd @ (mult @ (rd @ X0 @ X2) @ X1) @ X0) @ X2))),
% 105.20/19.05 inference('demod', [status(thm)], [zip_derived_cl7182, zip_derived_cl174])).
% 105.20/19.05 thf(zip_derived_cl2, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f03])).
% 105.20/19.05 thf(zip_derived_cl5, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ X0 @ X2) @ (mult @ X1 @ X1))
% 105.20/19.05 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 105.20/19.05 inference('cnf', [status(esa)], [f06])).
% 105.20/19.05 thf(zip_derived_cl1, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f02])).
% 105.20/19.05 thf(zip_derived_cl13, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((ld @ (mult @ X2 @ X0) @ (mult @ (mult @ X2 @ X1) @ (mult @ X0 @ X0)))
% 105.20/19.05 = (mult @ X1 @ X0))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 105.20/19.05 thf(zip_derived_cl101, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((ld @ (mult @ (rd @ X0 @ X2) @ X1) @ (mult @ X0 @ (mult @ X1 @ X1)))
% 105.20/19.05 = (mult @ X2 @ X1))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 105.20/19.05 thf(zip_derived_cl10529, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((ld @ (mult @ (rd @ X1 @ X1) @ X0) @
% 105.20/19.05 (mult @ (mult @ (rd @ X1 @ X2) @ X0) @ (mult @ X2 @ X2)))
% 105.20/19.05 = (mult @ X1 @ X2))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl7306, zip_derived_cl101])).
% 105.20/19.05 thf(zip_derived_cl37, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ (rd @ X0 @ X1) @ X2) @ (mult @ X1 @ X1))
% 105.20/19.05 = (mult @ X0 @ (mult @ X2 @ X1)))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 105.20/19.05 thf(zip_derived_cl10618, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((ld @ (mult @ (rd @ X1 @ X1) @ X0) @ (mult @ X1 @ (mult @ X0 @ X2)))
% 105.20/19.05 = (mult @ X1 @ X2))),
% 105.20/19.05 inference('demod', [status(thm)], [zip_derived_cl10529, zip_derived_cl37])).
% 105.20/19.05 thf(zip_derived_cl12660, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((ld @ (mult @ (rd @ X2 @ X2) @ X1) @ (mult @ X2 @ X0))
% 105.20/19.05 = (mult @ X2 @ (ld @ X1 @ X0)))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl10618])).
% 105.20/19.05 thf(zip_derived_cl30326, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((ld @ (mult @ (rd @ X1 @ X1) @ X2) @ X0)
% 105.20/19.05 = (mult @ X1 @ (ld @ X2 @ (ld @ X1 @ X0))))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl12660])).
% 105.20/19.05 thf(zip_derived_cl13, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((ld @ (mult @ X2 @ X0) @ (mult @ (mult @ X2 @ X1) @ (mult @ X0 @ X0)))
% 105.20/19.05 = (mult @ X1 @ X0))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 105.20/19.05 thf(zip_derived_cl30700, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ X2 @
% 105.20/19.05 (ld @ X0 @
% 105.20/19.05 (ld @ X2 @ (mult @ (mult @ (rd @ X2 @ X2) @ X1) @ (mult @ X0 @ X0)))))
% 105.20/19.05 = (mult @ X1 @ X0))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl30326, zip_derived_cl13])).
% 105.20/19.05 thf(zip_derived_cl7306, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (rd @ X0 @ X0) @ X1)
% 105.20/19.05 = (mult @ (rd @ (mult @ (rd @ X0 @ X2) @ X1) @ X0) @ X2))),
% 105.20/19.05 inference('demod', [status(thm)], [zip_derived_cl7182, zip_derived_cl174])).
% 105.20/19.05 thf(zip_derived_cl0, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f01])).
% 105.20/19.05 thf(zip_derived_cl2, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f03])).
% 105.20/19.05 thf(zip_derived_cl5, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ X0 @ X2) @ (mult @ X1 @ X1))
% 105.20/19.05 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ X1)))),
% 105.20/19.05 inference('cnf', [status(esa)], [f06])).
% 105.20/19.05 thf(zip_derived_cl30, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ X0 @ (mult @ X1 @ X1))
% 105.20/19.05 = (mult @ (mult @ (rd @ X0 @ X2) @ X1) @ (mult @ X2 @ X1)))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 105.20/19.05 thf(zip_derived_cl243, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ X2 @ (mult @ (ld @ X1 @ X0) @ (ld @ X1 @ X0)))
% 105.20/19.05 = (mult @ (mult @ (rd @ X2 @ X1) @ (ld @ X1 @ X0)) @ X0))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl30])).
% 105.20/19.05 thf(zip_derived_cl10537, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ (rd @ X1 @ (ld @ X1 @ X2)) @ X0) @
% 105.20/19.05 (mult @ (ld @ X1 @ X2) @ (ld @ X1 @ X2)))
% 105.20/19.05 = (mult @ (mult @ (rd @ X1 @ X1) @ X0) @ X2))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl7306, zip_derived_cl243])).
% 105.20/19.05 thf(zip_derived_cl37, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ (rd @ X0 @ X1) @ X2) @ (mult @ X1 @ X1))
% 105.20/19.05 = (mult @ X0 @ (mult @ X2 @ X1)))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 105.20/19.05 thf(zip_derived_cl10623, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ X1 @ (mult @ X0 @ (ld @ X1 @ X2)))
% 105.20/19.05 = (mult @ (mult @ (rd @ X1 @ X1) @ X0) @ X2))),
% 105.20/19.05 inference('demod', [status(thm)], [zip_derived_cl10537, zip_derived_cl37])).
% 105.20/19.05 thf(zip_derived_cl1, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f02])).
% 105.20/19.05 thf(zip_derived_cl30790, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ X2 @ (ld @ X0 @ (mult @ X1 @ (ld @ X2 @ (mult @ X0 @ X0)))))
% 105.20/19.05 = (mult @ X1 @ X0))),
% 105.20/19.05 inference('demod', [status(thm)],
% 105.20/19.05 [zip_derived_cl30700, zip_derived_cl10623, zip_derived_cl1])).
% 105.20/19.05 thf(zip_derived_cl32766, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ X1 @ X1) @
% 105.20/19.05 (ld @ (mult @ X1 @ X0) @ (mult @ X2 @ (mult @ X0 @ X0))))
% 105.20/19.05 = (mult @ X2 @ (mult @ X1 @ X0)))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl30790])).
% 105.20/19.05 thf(zip_derived_cl0, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 105.20/19.05 inference('cnf', [status(esa)], [f01])).
% 105.20/19.05 thf(zip_derived_cl13, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((ld @ (mult @ X2 @ X0) @ (mult @ (mult @ X2 @ X1) @ (mult @ X0 @ X0)))
% 105.20/19.05 = (mult @ X1 @ X0))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 105.20/19.05 thf(zip_derived_cl96, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((ld @ (mult @ X2 @ X1) @ (mult @ X0 @ (mult @ X1 @ X1)))
% 105.20/19.05 = (mult @ (ld @ X2 @ X0) @ X1))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 105.20/19.05 thf(zip_derived_cl32827, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ X1 @ X1) @ (mult @ (ld @ X1 @ X2) @ X0))
% 105.20/19.05 = (mult @ X2 @ (mult @ X1 @ X0)))),
% 105.20/19.05 inference('demod', [status(thm)], [zip_derived_cl32766, zip_derived_cl96])).
% 105.20/19.05 thf(zip_derived_cl33148, plain,
% 105.20/19.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 105.20/19.05 ((mult @ (mult @ X2 @ X2) @ (mult @ X0 @ X1))
% 105.20/19.05 = (mult @ (mult @ X2 @ X0) @ (mult @ X2 @ X1)))),
% 105.20/19.05 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl32827])).
% 105.20/19.05 thf(zip_derived_cl33324, plain,
% 105.20/19.05 (((mult @ (mult @ a @ b) @ (mult @ a @ c))
% 105.20/19.05 != (mult @ (mult @ a @ b) @ (mult @ a @ c)))),
% 105.20/19.05 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl33148])).
% 105.20/19.05 thf(zip_derived_cl33325, plain, ($false),
% 105.20/19.05 inference('simplify', [status(thm)], [zip_derived_cl33324])).
% 105.20/19.05
% 105.20/19.05 % SZS output end Refutation
% 105.20/19.05
% 105.20/19.05
% 105.20/19.05 % Terminating...
% 106.06/19.27 % Runner terminated.
% 106.06/19.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------