TSTP Solution File: GRP754-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP754-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0Oh4eDL6zP true
% Computer : n017.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 Aug 31 01:53:12 EDT 2023
% Result : Unsatisfiable 268.69s 39.09s
% Output : Refutation 268.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP754-1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0Oh4eDL6zP true
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 01:11:00 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.18/0.62 % Total configuration time : 435
% 0.18/0.62 % Estimated wc time : 1092
% 0.18/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 268.69/39.09 % Solved by fo/fo4.sh.
% 268.69/39.09 % done 1240 iterations in 38.299s
% 268.69/39.09 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 268.69/39.09 % SZS output start Refutation
% 268.69/39.09 thf(a_type, type, a: $i).
% 268.69/39.09 thf(ld_type, type, ld: $i > $i > $i).
% 268.69/39.09 thf(rd_type, type, rd: $i > $i > $i).
% 268.69/39.09 thf(c_type, type, c: $i).
% 268.69/39.09 thf(mult_type, type, mult: $i > $i > $i).
% 268.69/39.09 thf(b_type, type, b: $i).
% 268.69/39.09 thf(goals, conjecture,
% 268.69/39.09 (( mult @ ( mult @ a @ a ) @ ( mult @ b @ c ) ) =
% 268.69/39.09 ( mult @ ( mult @ a @ b ) @ ( mult @ a @ c ) ))).
% 268.69/39.09 thf(zf_stmt_0, negated_conjecture,
% 268.69/39.09 (( mult @ ( mult @ a @ a ) @ ( mult @ b @ c ) ) !=
% 268.69/39.09 ( mult @ ( mult @ a @ b ) @ ( mult @ a @ c ) )),
% 268.69/39.09 inference('cnf.neg', [status(esa)], [goals])).
% 268.69/39.09 thf(zip_derived_cl6, plain,
% 268.69/39.09 (((mult @ (mult @ a @ a) @ (mult @ b @ c))
% 268.69/39.09 != (mult @ (mult @ a @ b) @ (mult @ a @ c)))),
% 268.69/39.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 268.69/39.09 thf(f02, axiom, (( ld @ A @ ( mult @ A @ B ) ) = ( B ))).
% 268.69/39.09 thf(zip_derived_cl1, plain,
% 268.69/39.09 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 268.69/39.09 inference('cnf', [status(esa)], [f02])).
% 268.69/39.10 thf(zip_derived_cl1, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f02])).
% 268.69/39.10 thf(f01, axiom, (( mult @ A @ ( ld @ A @ B ) ) = ( B ))).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(f03, axiom, (( mult @ ( rd @ A @ B ) @ B ) = ( A ))).
% 268.69/39.10 thf(zip_derived_cl2, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f03])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(f06, axiom,
% 268.69/39.10 (( mult @ ( mult @ A @ B ) @ C ) =
% 268.69/39.10 ( mult @ ( mult @ A @ C ) @ ( mult @ B @ ( ld @ C @ C ) ) ))).
% 268.69/39.10 thf(zip_derived_cl5, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ X0 @ X2) @ X1)
% 268.69/39.10 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ (ld @ X1 @ X1))))),
% 268.69/39.10 inference('cnf', [status(esa)], [f06])).
% 268.69/39.10 thf(zip_derived_cl1, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f02])).
% 268.69/39.10 thf(zip_derived_cl21, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (mult @ X2 @ X0) @ (mult @ (mult @ X2 @ X1) @ X0))
% 268.69/39.10 = (mult @ X1 @ (ld @ X0 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl117, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (mult @ X2 @ X1) @ (mult @ X0 @ X1))
% 268.69/39.10 = (mult @ (ld @ X2 @ X0) @ (ld @ X1 @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl21])).
% 268.69/39.10 thf(zip_derived_cl223, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (mult @ X2 @ X1) @ X0)
% 268.69/39.10 = (mult @ (ld @ X2 @ (rd @ X0 @ X1)) @ (ld @ X1 @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl117])).
% 268.69/39.10 thf(zip_derived_cl5, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ X0 @ X2) @ X1)
% 268.69/39.10 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ (ld @ X1 @ X1))))),
% 268.69/39.10 inference('cnf', [status(esa)], [f06])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(f05, axiom,
% 268.69/39.10 (( mult @ A @ ( mult @ B @ C ) ) =
% 268.69/39.10 ( mult @ ( mult @ ( rd @ A @ A ) @ B ) @ ( mult @ A @ C ) ))).
% 268.69/39.10 thf(zip_derived_cl4, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ X0 @ (mult @ X1 @ X2))
% 268.69/39.10 = (mult @ (mult @ (rd @ X0 @ X0) @ X1) @ (mult @ X0 @ X2)))),
% 268.69/39.10 inference('cnf', [status(esa)], [f05])).
% 268.69/39.10 thf(zip_derived_cl16, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ X1 @ (mult @ X2 @ (ld @ X1 @ X0)))
% 268.69/39.10 = (mult @ (mult @ (rd @ X1 @ X1) @ X2) @ X0))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 268.69/39.10 thf(zip_derived_cl1, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f02])).
% 268.69/39.10 thf(zip_derived_cl64, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X2 @ (mult @ (mult @ (rd @ X2 @ X2) @ X1) @ X0))
% 268.69/39.10 = (mult @ X1 @ (ld @ X2 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl767, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X2 @ (mult @ (mult @ (rd @ X2 @ X2) @ X1) @ X0))
% 268.69/39.10 = (mult @ X0 @ (ld @ X2 @ (mult @ X1 @ (ld @ X0 @ X0)))))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl64])).
% 268.69/39.10 thf(zip_derived_cl64, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X2 @ (mult @ (mult @ (rd @ X2 @ X2) @ X1) @ X0))
% 268.69/39.10 = (mult @ X1 @ (ld @ X2 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl784, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ X1 @ (ld @ X2 @ X0))
% 268.69/39.10 = (mult @ X0 @ (ld @ X2 @ (mult @ X1 @ (ld @ X0 @ X0)))))),
% 268.69/39.10 inference('demod', [status(thm)], [zip_derived_cl767, zip_derived_cl64])).
% 268.69/39.10 thf(zip_derived_cl3613, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 268.69/39.10 ((mult @ (ld @ X2 @ (rd @ X0 @ X1)) @ (ld @ X3 @ X1))
% 268.69/39.10 = (mult @ X1 @ (ld @ X3 @ (ld @ (mult @ X2 @ X1) @ X0))))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl223, zip_derived_cl784])).
% 268.69/39.10 thf(zip_derived_cl2, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f03])).
% 268.69/39.10 thf(zip_derived_cl5, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ X0 @ X2) @ X1)
% 268.69/39.10 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ (ld @ X1 @ X1))))),
% 268.69/39.10 inference('cnf', [status(esa)], [f06])).
% 268.69/39.10 thf(f04, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 268.69/39.10 thf(zip_derived_cl3, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f04])).
% 268.69/39.10 thf(zip_derived_cl22, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (mult @ (mult @ X2 @ X1) @ X0) @ (mult @ X1 @ (ld @ X0 @ X0)))
% 268.69/39.10 = (mult @ X2 @ X0))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 268.69/39.10 thf(zip_derived_cl533, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (mult @ X0 @ X1) @ (mult @ X2 @ (ld @ X1 @ X1)))
% 268.69/39.10 = (mult @ (rd @ X0 @ X2) @ X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl22])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(zip_derived_cl2, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f03])).
% 268.69/39.10 thf(zip_derived_cl4, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ X0 @ (mult @ X1 @ X2))
% 268.69/39.10 = (mult @ (mult @ (rd @ X0 @ X0) @ X1) @ (mult @ X0 @ X2)))),
% 268.69/39.10 inference('cnf', [status(esa)], [f05])).
% 268.69/39.10 thf(zip_derived_cl3, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f04])).
% 268.69/39.10 thf(zip_derived_cl14, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (mult @ X2 @ (mult @ X1 @ X0)) @ (mult @ X2 @ X0))
% 268.69/39.10 = (mult @ (rd @ X2 @ X2) @ X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 268.69/39.10 thf(zip_derived_cl63, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (mult @ X2 @ X0) @ (mult @ X2 @ X1))
% 268.69/39.10 = (mult @ (rd @ X2 @ X2) @ (rd @ X0 @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl14])).
% 268.69/39.10 thf(zip_derived_cl170, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (mult @ X1 @ X2) @ X0)
% 268.69/39.10 = (mult @ (rd @ X1 @ X1) @ (rd @ X2 @ (ld @ X1 @ X0))))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl63])).
% 268.69/39.10 thf(zip_derived_cl1, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f02])).
% 268.69/39.10 thf(zip_derived_cl1115, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (rd @ X2 @ X2) @ (rd @ (mult @ X2 @ X1) @ X0))
% 268.69/39.10 = (rd @ X1 @ (ld @ X2 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl4192, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (rd @ X2 @ X2) @ (mult @ (rd @ X2 @ X1) @ X0))
% 268.69/39.10 = (rd @ X0 @ (ld @ X2 @ (mult @ X1 @ (ld @ X0 @ X0)))))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl533, zip_derived_cl1115])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(zip_derived_cl63, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (mult @ X2 @ X0) @ (mult @ X2 @ X1))
% 268.69/39.10 = (mult @ (rd @ X2 @ X2) @ (rd @ X0 @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl14])).
% 268.69/39.10 thf(zip_derived_cl177, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ X0 @ (mult @ X2 @ X1))
% 268.69/39.10 = (mult @ (rd @ X2 @ X2) @ (rd @ (ld @ X2 @ X0) @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl63])).
% 268.69/39.10 thf(zip_derived_cl64, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X2 @ (mult @ (mult @ (rd @ X2 @ X2) @ X1) @ X0))
% 268.69/39.10 = (mult @ X1 @ (ld @ X2 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl1204, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 268.69/39.10 ((ld @ X1 @ (mult @ (rd @ X2 @ (mult @ X1 @ X0)) @ X3))
% 268.69/39.10 = (mult @ (rd @ (ld @ X1 @ X2) @ X0) @ (ld @ X1 @ X3)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl177, zip_derived_cl64])).
% 268.69/39.10 thf(zip_derived_cl70720, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ X0 @
% 268.69/39.10 (ld @ X2 @ (mult @ (mult @ (rd @ X2 @ X2) @ X1) @ (ld @ X0 @ X0))))
% 268.69/39.10 = (mult @ (rd @ (ld @ (rd @ X2 @ X2) @ X2) @ X1) @
% 268.69/39.10 (ld @ (rd @ X2 @ X2) @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl4192, zip_derived_cl1204])).
% 268.69/39.10 thf(zip_derived_cl64, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X2 @ (mult @ (mult @ (rd @ X2 @ X2) @ X1) @ X0))
% 268.69/39.10 = (mult @ X1 @ (ld @ X2 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl2, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f03])).
% 268.69/39.10 thf(zip_derived_cl1, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f02])).
% 268.69/39.10 thf(zip_derived_cl9, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((ld @ (rd @ X0 @ X1) @ X0) = (X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(zip_derived_cl2, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f03])).
% 268.69/39.10 thf(zip_derived_cl533, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (mult @ X0 @ X1) @ (mult @ X2 @ (ld @ X1 @ X1)))
% 268.69/39.10 = (mult @ (rd @ X0 @ X2) @ X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl22])).
% 268.69/39.10 thf(zip_derived_cl2696, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ X0 @ (mult @ X2 @ (ld @ X1 @ X1)))
% 268.69/39.10 = (mult @ (rd @ (rd @ X0 @ X1) @ X2) @ X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl533])).
% 268.69/39.10 thf(zip_derived_cl14, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (mult @ X2 @ (mult @ X1 @ X0)) @ (mult @ X2 @ X0))
% 268.69/39.10 = (mult @ (rd @ X2 @ X2) @ X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 268.69/39.10 thf(zip_derived_cl2773, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @
% 268.69/39.10 (rd @ (rd @ (mult @ X1 @ (mult @ X2 @ (ld @ X0 @ X0))) @ X0) @ X1) @
% 268.69/39.10 X0) = (mult @ (rd @ X1 @ X1) @ X2))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2696, zip_derived_cl14])).
% 268.69/39.10 thf(zip_derived_cl2, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f03])).
% 268.69/39.10 thf(zip_derived_cl5, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ X0 @ X2) @ X1)
% 268.69/39.10 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ (ld @ X1 @ X1))))),
% 268.69/39.10 inference('cnf', [status(esa)], [f06])).
% 268.69/39.10 thf(zip_derived_cl31, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ (rd @ X0 @ X1) @ X2) @ X1)
% 268.69/39.10 = (mult @ X0 @ (mult @ X2 @ (ld @ X1 @ X1))))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 268.69/39.10 thf(zip_derived_cl3, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f04])).
% 268.69/39.10 thf(zip_derived_cl2809, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (rd @ (mult @ (rd @ X1 @ X0) @ X2) @ X1) @ X0)
% 268.69/39.10 = (mult @ (rd @ X1 @ X1) @ X2))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl2773, zip_derived_cl31, zip_derived_cl3])).
% 268.69/39.10 thf(zip_derived_cl3, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f04])).
% 268.69/39.10 thf(zip_derived_cl5670, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (mult @ (rd @ X1 @ X1) @ X0) @ X2)
% 268.69/39.10 = (rd @ (mult @ (rd @ X1 @ X2) @ X0) @ X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2809, zip_derived_cl3])).
% 268.69/39.10 thf(zip_derived_cl2, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f03])).
% 268.69/39.10 thf(zip_derived_cl6357, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (rd @ (mult @ (rd @ X2 @ X2) @ X1) @ X0) @ X2)
% 268.69/39.10 = (mult @ (rd @ X2 @ X0) @ X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl5670, zip_derived_cl2])).
% 268.69/39.10 thf(zip_derived_cl7513, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (rd @ X0 @ X2) @ X1)
% 268.69/39.10 = (mult @ (rd @ X1 @ X2) @ (ld @ (rd @ X1 @ X1) @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl6357])).
% 268.69/39.10 thf(zip_derived_cl71201, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ X0 @ (mult @ X1 @ (ld @ X2 @ (ld @ X0 @ X0))))
% 268.69/39.10 = (mult @ (rd @ X0 @ X1) @ X2))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl70720, zip_derived_cl64, zip_derived_cl9,
% 268.69/39.10 zip_derived_cl7513])).
% 268.69/39.10 thf(zip_derived_cl2, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f03])).
% 268.69/39.10 thf(zip_derived_cl77199, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ (rd @ X2 @ X1) @ X0) @
% 268.69/39.10 (mult @ X1 @ (ld @ X0 @ (ld @ X2 @ X2)))) = (X2))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl71201, zip_derived_cl2])).
% 268.69/39.10 thf(zip_derived_cl77691, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ (rd @ (mult @ X2 @ X0) @ X0) @ X1) @
% 268.69/39.10 (mult @ (ld @ X2 @ (rd @ (mult @ X2 @ X0) @ X0)) @ (ld @ X1 @ X0)))
% 268.69/39.10 = (mult @ X2 @ X0))),
% 268.69/39.10 inference('sup+', [status(thm)],
% 268.69/39.10 [zip_derived_cl3613, zip_derived_cl77199])).
% 268.69/39.10 thf(zip_derived_cl3, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f04])).
% 268.69/39.10 thf(zip_derived_cl3, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f04])).
% 268.69/39.10 thf(zip_derived_cl77904, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ X2 @ X1) @ (mult @ (ld @ X2 @ X2) @ (ld @ X1 @ X0)))
% 268.69/39.10 = (mult @ X2 @ X0))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl77691, zip_derived_cl3, zip_derived_cl3])).
% 268.69/39.10 thf(zip_derived_cl1, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f02])).
% 268.69/39.10 thf(zip_derived_cl78146, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (mult @ X1 @ X2) @ (mult @ X1 @ X0))
% 268.69/39.10 = (mult @ (ld @ X1 @ X1) @ (ld @ X2 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl77904, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl81188, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X0 @ (mult @ X2 @ X1))
% 268.69/39.10 = (mult @ (ld @ X2 @ X2) @ (ld @ (ld @ X2 @ X0) @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl78146])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(zip_derived_cl3, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f04])).
% 268.69/39.10 thf(zip_derived_cl11, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((rd @ X0 @ (ld @ X1 @ X0)) = (X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 268.69/39.10 thf(zip_derived_cl1, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f02])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(zip_derived_cl4, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ X0 @ (mult @ X1 @ X2))
% 268.69/39.10 = (mult @ (mult @ (rd @ X0 @ X0) @ X1) @ (mult @ X0 @ X2)))),
% 268.69/39.10 inference('cnf', [status(esa)], [f05])).
% 268.69/39.10 thf(zip_derived_cl1, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f02])).
% 268.69/39.10 thf(zip_derived_cl13, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (mult @ (rd @ X2 @ X2) @ X1) @ (mult @ X2 @ (mult @ X1 @ X0)))
% 268.69/39.10 = (mult @ X2 @ X0))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl44, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (mult @ (rd @ X2 @ X2) @ X1) @ (mult @ X2 @ X0))
% 268.69/39.10 = (mult @ X2 @ (ld @ X1 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 268.69/39.10 thf(zip_derived_cl331, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X0 @ (mult @ X2 @ X1))
% 268.69/39.10 = (mult @ X2 @ (ld @ (ld @ (rd @ X2 @ X2) @ X0) @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl44])).
% 268.69/39.10 thf(zip_derived_cl1, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f02])).
% 268.69/39.10 thf(zip_derived_cl2043, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X1 @ (ld @ X2 @ (mult @ X1 @ X0)))
% 268.69/39.10 = (ld @ (ld @ (rd @ X1 @ X1) @ X2) @ X0))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl331, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl2165, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X1 @ (ld @ X2 @ X0))
% 268.69/39.10 = (ld @ (ld @ (rd @ X1 @ X1) @ X2) @ (ld @ X1 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2043])).
% 268.69/39.10 thf(zip_derived_cl71201, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ X0 @ (mult @ X1 @ (ld @ X2 @ (ld @ X0 @ X0))))
% 268.69/39.10 = (mult @ (rd @ X0 @ X1) @ X2))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl70720, zip_derived_cl64, zip_derived_cl9,
% 268.69/39.10 zip_derived_cl7513])).
% 268.69/39.10 thf(zip_derived_cl9, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((ld @ (rd @ X0 @ X1) @ X0) = (X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl77200, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (mult @ (rd @ X2 @ X1) @ X0) @ X2)
% 268.69/39.10 = (mult @ X1 @ (ld @ X0 @ (ld @ X2 @ X2))))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl71201, zip_derived_cl9])).
% 268.69/39.10 thf(zip_derived_cl80660, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (mult @ (rd @ X0 @ X2) @ (ld @ (rd @ X0 @ X0) @ X1)) @ X0)
% 268.69/39.10 = (mult @ X2 @ (ld @ X0 @ (ld @ X1 @ X0))))),
% 268.69/39.10 inference('sup+', [status(thm)],
% 268.69/39.10 [zip_derived_cl2165, zip_derived_cl77200])).
% 268.69/39.10 thf(zip_derived_cl7513, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (rd @ X0 @ X2) @ X1)
% 268.69/39.10 = (mult @ (rd @ X1 @ X2) @ (ld @ (rd @ X1 @ X1) @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl6357])).
% 268.69/39.10 thf(zip_derived_cl80679, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (mult @ (rd @ X1 @ X2) @ X0) @ X0)
% 268.69/39.10 = (mult @ X2 @ (ld @ X0 @ (ld @ X1 @ X0))))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl80660, zip_derived_cl7513])).
% 268.69/39.10 thf(zip_derived_cl44, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (mult @ (rd @ X2 @ X2) @ X1) @ (mult @ X2 @ X0))
% 268.69/39.10 = (mult @ X2 @ (ld @ X1 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 268.69/39.10 thf(zip_derived_cl223, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (mult @ X2 @ X1) @ X0)
% 268.69/39.10 = (mult @ (ld @ X2 @ (rd @ X0 @ X1)) @ (ld @ X1 @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl117])).
% 268.69/39.10 thf(zip_derived_cl3, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f04])).
% 268.69/39.10 thf(zip_derived_cl1413, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (ld @ (mult @ X2 @ X1) @ X0) @ (ld @ X1 @ X1))
% 268.69/39.10 = (ld @ X2 @ (rd @ X0 @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl223, zip_derived_cl3])).
% 268.69/39.10 thf(zip_derived_cl6052, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (mult @ X2 @ (ld @ X1 @ X0)) @ (ld @ X1 @ X1))
% 268.69/39.10 = (ld @ (rd @ X2 @ X2) @ (rd @ (mult @ X2 @ X0) @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl1413])).
% 268.69/39.10 thf(zip_derived_cl1115, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (rd @ X2 @ X2) @ (rd @ (mult @ X2 @ X1) @ X0))
% 268.69/39.10 = (rd @ X1 @ (ld @ X2 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl6101, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (mult @ X2 @ (ld @ X1 @ X0)) @ (ld @ X1 @ X1))
% 268.69/39.10 = (rd @ X0 @ (ld @ X2 @ X1)))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl6052, zip_derived_cl1115])).
% 268.69/39.10 thf(zip_derived_cl83135, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (ld @ (mult @ (rd @ X2 @ X1) @ X0) @ X0) @ (ld @ X0 @ X0))
% 268.69/39.10 = (rd @ (ld @ X2 @ X0) @ (ld @ X1 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)],
% 268.69/39.10 [zip_derived_cl80679, zip_derived_cl6101])).
% 268.69/39.10 thf(zip_derived_cl1413, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (ld @ (mult @ X2 @ X1) @ X0) @ (ld @ X1 @ X1))
% 268.69/39.10 = (ld @ X2 @ (rd @ X0 @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl223, zip_derived_cl3])).
% 268.69/39.10 thf(zip_derived_cl83532, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (rd @ X2 @ X1) @ (rd @ X0 @ X0))
% 268.69/39.10 = (rd @ (ld @ X2 @ X0) @ (ld @ X1 @ X0)))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl83135, zip_derived_cl1413])).
% 268.69/39.10 thf(zip_derived_cl87363, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (rd @ X2 @ X1) @ (rd @ (mult @ X1 @ X0) @ (mult @ X1 @ X0)))
% 268.69/39.10 = (rd @ (ld @ X2 @ (mult @ X1 @ X0)) @ X0))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl83532])).
% 268.69/39.10 thf(zip_derived_cl63, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (mult @ X2 @ X0) @ (mult @ X2 @ X1))
% 268.69/39.10 = (mult @ (rd @ X2 @ X2) @ (rd @ X0 @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl14])).
% 268.69/39.10 thf(zip_derived_cl2, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f03])).
% 268.69/39.10 thf(zip_derived_cl9, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((ld @ (rd @ X0 @ X1) @ X0) = (X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl3, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f04])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(zip_derived_cl11, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((rd @ X0 @ (ld @ X1 @ X0)) = (X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 268.69/39.10 thf(zip_derived_cl2809, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (rd @ (mult @ (rd @ X1 @ X0) @ X2) @ X1) @ X0)
% 268.69/39.10 = (mult @ (rd @ X1 @ X1) @ X2))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl2773, zip_derived_cl31, zip_derived_cl3])).
% 268.69/39.10 thf(zip_derived_cl5758, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (rd @ (mult @ X0 @ X1) @ X2) @ (ld @ X0 @ X2))
% 268.69/39.10 = (mult @ (rd @ X2 @ X2) @ X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl2809])).
% 268.69/39.10 thf(zip_derived_cl7056, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (rd @ X0 @ X2) @ (ld @ X1 @ X2))
% 268.69/39.10 = (mult @ (rd @ X2 @ X2) @ (ld @ X1 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5758])).
% 268.69/39.10 thf(zip_derived_cl8225, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ X0 @ (ld @ X2 @ X1))
% 268.69/39.10 = (mult @ (rd @ X1 @ X1) @ (ld @ X2 @ (mult @ X0 @ X1))))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7056])).
% 268.69/39.10 thf(zip_derived_cl9204, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ X2 @ (ld @ (rd @ (mult @ X2 @ X1) @ X0) @ X1))
% 268.69/39.10 = (mult @ (rd @ X1 @ X1) @ X0))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl8225])).
% 268.69/39.10 thf(zip_derived_cl1, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f02])).
% 268.69/39.10 thf(zip_derived_cl9327, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X2 @ (mult @ (rd @ X1 @ X1) @ X0))
% 268.69/39.10 = (ld @ (rd @ (mult @ X2 @ X1) @ X0) @ X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl9204, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl9779, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (rd @ X0 @ X1) @ (mult @ (rd @ X1 @ X1) @ X2))
% 268.69/39.10 = (ld @ (rd @ X0 @ X2) @ X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl9327])).
% 268.69/39.10 thf(zip_derived_cl87533, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (rd @ X2 @ (rd @ X0 @ X0)) @ X1)
% 268.69/39.10 = (rd @ (ld @ X2 @ (mult @ X1 @ X0)) @ X0))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl87363, zip_derived_cl63, zip_derived_cl9779])).
% 268.69/39.10 thf(zip_derived_cl177, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ X0 @ (mult @ X2 @ X1))
% 268.69/39.10 = (mult @ (rd @ X2 @ X2) @ (rd @ (ld @ X2 @ X0) @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl63])).
% 268.69/39.10 thf(zip_derived_cl89226, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (mult @ X0 @ X1) @ (mult @ X2 @ X1))
% 268.69/39.10 = (mult @ (rd @ X2 @ X2) @ (ld @ (rd @ X2 @ (rd @ X1 @ X1)) @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl87533, zip_derived_cl177])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(zip_derived_cl2809, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (rd @ (mult @ (rd @ X1 @ X0) @ X2) @ X1) @ X0)
% 268.69/39.10 = (mult @ (rd @ X1 @ X1) @ X2))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl2773, zip_derived_cl31, zip_derived_cl3])).
% 268.69/39.10 thf(zip_derived_cl5743, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (rd @ X0 @ X2) @ X1)
% 268.69/39.10 = (mult @ (rd @ X2 @ X2) @ (ld @ (rd @ X2 @ X1) @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2809])).
% 268.69/39.10 thf(zip_derived_cl89593, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((rd @ (mult @ X0 @ X1) @ (mult @ X2 @ X1))
% 268.69/39.10 = (mult @ (rd @ X0 @ X2) @ (rd @ X1 @ X1)))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl89226, zip_derived_cl5743])).
% 268.69/39.10 thf(zip_derived_cl2, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f03])).
% 268.69/39.10 thf(zip_derived_cl92305, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ (rd @ X2 @ X1) @ (rd @ X0 @ X0)) @ (mult @ X1 @ X0))
% 268.69/39.10 = (mult @ X2 @ X0))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl89593, zip_derived_cl2])).
% 268.69/39.10 thf(zip_derived_cl94977, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ X0 @ (rd @ X1 @ X1)) @ (mult @ (ld @ X0 @ X2) @ X1))
% 268.69/39.10 = (mult @ X2 @ X1))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl92305])).
% 268.69/39.10 thf(zip_derived_cl146721, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @
% 268.69/39.10 (mult @ X1 @
% 268.69/39.10 (rd @ (ld @ (ld @ X1 @ X2) @ X0) @ (ld @ (ld @ X1 @ X2) @ X0))) @
% 268.69/39.10 (ld @ X2 @ (mult @ X1 @ X0)))
% 268.69/39.10 = (mult @ X1 @ (ld @ (ld @ X1 @ X2) @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)],
% 268.69/39.10 [zip_derived_cl81188, zip_derived_cl94977])).
% 268.69/39.10 thf(zip_derived_cl83532, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (rd @ X2 @ X1) @ (rd @ X0 @ X0))
% 268.69/39.10 = (rd @ (ld @ X2 @ X0) @ (ld @ X1 @ X0)))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl83135, zip_derived_cl1413])).
% 268.69/39.10 thf(zip_derived_cl83532, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (rd @ X2 @ X1) @ (rd @ X0 @ X0))
% 268.69/39.10 = (rd @ (ld @ X2 @ X0) @ (ld @ X1 @ X0)))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl83135, zip_derived_cl1413])).
% 268.69/39.10 thf(zip_derived_cl331, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X0 @ (mult @ X2 @ X1))
% 268.69/39.10 = (mult @ X2 @ (ld @ (ld @ (rd @ X2 @ X2) @ X0) @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl44])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(zip_derived_cl4, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ X0 @ (mult @ X1 @ X2))
% 268.69/39.10 = (mult @ (mult @ (rd @ X0 @ X0) @ X1) @ (mult @ X0 @ X2)))),
% 268.69/39.10 inference('cnf', [status(esa)], [f05])).
% 268.69/39.10 thf(zip_derived_cl19, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ X2 @ (mult @ (ld @ (rd @ X2 @ X2) @ X0) @ X1))
% 268.69/39.10 = (mult @ X0 @ (mult @ X2 @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 268.69/39.10 thf(zip_derived_cl1, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f02])).
% 268.69/39.10 thf(zip_derived_cl84, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X1 @ (mult @ X2 @ (mult @ X1 @ X0)))
% 268.69/39.10 = (mult @ (ld @ (rd @ X1 @ X1) @ X2) @ X0))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl201, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X1 @ (mult @ X2 @ X0))
% 268.69/39.10 = (mult @ (ld @ (rd @ X1 @ X1) @ X2) @ (ld @ X1 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl84])).
% 268.69/39.10 thf(zip_derived_cl8225, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ X0 @ (ld @ X2 @ X1))
% 268.69/39.10 = (mult @ (rd @ X1 @ X1) @ (ld @ X2 @ (mult @ X0 @ X1))))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7056])).
% 268.69/39.10 thf(zip_derived_cl21, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (mult @ X2 @ X0) @ (mult @ (mult @ X2 @ X1) @ X0))
% 268.69/39.10 = (mult @ X1 @ (ld @ X0 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(zip_derived_cl44, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (mult @ (rd @ X2 @ X2) @ X1) @ (mult @ X2 @ X0))
% 268.69/39.10 = (mult @ X2 @ (ld @ X1 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 268.69/39.10 thf(zip_derived_cl323, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ (mult @ (rd @ X1 @ X1) @ X2) @ X0)
% 268.69/39.10 = (mult @ X1 @ (ld @ X2 @ (ld @ X1 @ X0))))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl44])).
% 268.69/39.10 thf(zip_derived_cl1, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f02])).
% 268.69/39.10 thf(zip_derived_cl342, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X2 @ (ld @ (mult @ (rd @ X2 @ X2) @ X1) @ X0))
% 268.69/39.10 = (ld @ X1 @ (ld @ X2 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl323, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl2234, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X2 @ (mult @ X1 @ (ld @ X0 @ X0)))
% 268.69/39.10 = (ld @ X0 @ (ld @ X2 @ (mult @ (mult @ (rd @ X2 @ X2) @ X1) @ X0))))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl342])).
% 268.69/39.10 thf(zip_derived_cl64, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X2 @ (mult @ (mult @ (rd @ X2 @ X2) @ X1) @ X0))
% 268.69/39.10 = (mult @ X1 @ (ld @ X2 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 268.69/39.10 thf(zip_derived_cl2259, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X2 @ (mult @ X1 @ (ld @ X0 @ X0)))
% 268.69/39.10 = (ld @ X0 @ (mult @ X1 @ (ld @ X2 @ X0))))),
% 268.69/39.10 inference('demod', [status(thm)], [zip_derived_cl2234, zip_derived_cl64])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(zip_derived_cl2844, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ X1 @ (ld @ X0 @ (mult @ X2 @ (ld @ X1 @ X0))))
% 268.69/39.10 = (mult @ X2 @ (ld @ X0 @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl2259, zip_derived_cl0])).
% 268.69/39.10 thf(zip_derived_cl77904, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ X2 @ X1) @ (mult @ (ld @ X2 @ X2) @ (ld @ X1 @ X0)))
% 268.69/39.10 = (mult @ X2 @ X0))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl77691, zip_derived_cl3, zip_derived_cl3])).
% 268.69/39.10 thf(zip_derived_cl78342, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ X2 @ X0) @ (mult @ X1 @ (ld @ X0 @ X0)))
% 268.69/39.10 = (mult @ X2 @ (mult @ X1 @ (ld @ (ld @ X2 @ X2) @ X0))))),
% 268.69/39.10 inference('sup+', [status(thm)],
% 268.69/39.10 [zip_derived_cl2844, zip_derived_cl77904])).
% 268.69/39.10 thf(zip_derived_cl5, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ X0 @ X2) @ X1)
% 268.69/39.10 = (mult @ (mult @ X0 @ X1) @ (mult @ X2 @ (ld @ X1 @ X1))))),
% 268.69/39.10 inference('cnf', [status(esa)], [f06])).
% 268.69/39.10 thf(zip_derived_cl78549, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ X2 @ X1) @ X0)
% 268.69/39.10 = (mult @ X2 @ (mult @ X1 @ (ld @ (ld @ X2 @ X2) @ X0))))),
% 268.69/39.10 inference('demod', [status(thm)], [zip_derived_cl78342, zip_derived_cl5])).
% 268.69/39.10 thf(zip_derived_cl80091, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ X1 @ (rd @ X0 @ X0)) @ (mult @ X2 @ X0))
% 268.69/39.10 = (mult @ X1 @ (mult @ X2 @ (ld @ (ld @ X1 @ X1) @ X0))))),
% 268.69/39.10 inference('sup+', [status(thm)],
% 268.69/39.10 [zip_derived_cl8225, zip_derived_cl78549])).
% 268.69/39.10 thf(zip_derived_cl78549, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ X2 @ X1) @ X0)
% 268.69/39.10 = (mult @ X2 @ (mult @ X1 @ (ld @ (ld @ X2 @ X2) @ X0))))),
% 268.69/39.10 inference('demod', [status(thm)], [zip_derived_cl78342, zip_derived_cl5])).
% 268.69/39.10 thf(zip_derived_cl80157, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ X1 @ (rd @ X0 @ X0)) @ (mult @ X2 @ X0))
% 268.69/39.10 = (mult @ (mult @ X1 @ X2) @ X0))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl80091, zip_derived_cl78549])).
% 268.69/39.10 thf(zip_derived_cl147121, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((ld @ X2 @ (mult @ (mult @ X1 @ X1) @ X0))
% 268.69/39.10 = (mult @ X1 @ (ld @ (ld @ X1 @ X2) @ X0)))),
% 268.69/39.10 inference('demod', [status(thm)],
% 268.69/39.10 [zip_derived_cl146721, zip_derived_cl83532,
% 268.69/39.10 zip_derived_cl83532, zip_derived_cl331, zip_derived_cl201,
% 268.69/39.10 zip_derived_cl80157])).
% 268.69/39.10 thf(zip_derived_cl0, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 268.69/39.10 inference('cnf', [status(esa)], [f01])).
% 268.69/39.10 thf(zip_derived_cl147137, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ X1 @ (mult @ X2 @ (ld @ (ld @ X2 @ X1) @ X0)))
% 268.69/39.10 = (mult @ (mult @ X2 @ X2) @ X0))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl147121, zip_derived_cl0])).
% 268.69/39.10 thf(zip_derived_cl149188, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ X1 @ (mult @ X2 @ X0))
% 268.69/39.10 = (mult @ (mult @ X2 @ X2) @ (mult @ (ld @ X2 @ X1) @ X0)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl147137])).
% 268.69/39.10 thf(zip_derived_cl149811, plain,
% 268.69/39.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 268.69/39.10 ((mult @ (mult @ X2 @ X0) @ (mult @ X2 @ X1))
% 268.69/39.10 = (mult @ (mult @ X2 @ X2) @ (mult @ X0 @ X1)))),
% 268.69/39.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl149188])).
% 268.69/39.10 thf(zip_derived_cl150144, plain,
% 268.69/39.10 (((mult @ (mult @ a @ a) @ (mult @ b @ c))
% 268.69/39.10 != (mult @ (mult @ a @ a) @ (mult @ b @ c)))),
% 268.69/39.10 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl149811])).
% 268.69/39.10 thf(zip_derived_cl150145, plain, ($false),
% 268.69/39.10 inference('simplify', [status(thm)], [zip_derived_cl150144])).
% 268.69/39.10
% 268.69/39.10 % SZS output end Refutation
% 268.69/39.10
% 268.69/39.10
% 268.69/39.10 % Terminating...
% 269.58/39.22 % Runner terminated.
% 269.58/39.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------