TSTP Solution File: GRP683-11 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP683-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8dVtkYeDKT true
% Computer : n024.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 01:52:55 EDT 2023
% Result : Unsatisfiable 15.72s 2.88s
% Output : Refutation 15.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP683-11 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8dVtkYeDKT true
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 23:44:23 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 15.72/2.88 % Solved by fo/fo4.sh.
% 15.72/2.88 % done 447 iterations in 2.090s
% 15.72/2.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 15.72/2.88 % SZS output start Refutation
% 15.72/2.88 thf(rd_type, type, rd: $i > $i > $i).
% 15.72/2.88 thf(x4_type, type, x4: $i).
% 15.72/2.88 thf(mult_type, type, mult: $i > $i > $i).
% 15.72/2.88 thf(x3_type, type, x3: $i).
% 15.72/2.88 thf(ld_type, type, ld: $i > $i > $i).
% 15.72/2.88 thf(x5_type, type, x5: $i).
% 15.72/2.88 thf(goal, conjecture,
% 15.72/2.88 (( mult @ ( rd @ ( mult @ x3 @ x4 ) @ x4 ) @ x5 ) = ( mult @ x3 @ x5 ))).
% 15.72/2.88 thf(zf_stmt_0, negated_conjecture,
% 15.72/2.88 (( mult @ ( rd @ ( mult @ x3 @ x4 ) @ x4 ) @ x5 ) != ( mult @ x3 @ x5 )),
% 15.72/2.88 inference('cnf.neg', [status(esa)], [goal])).
% 15.72/2.88 thf(zip_derived_cl7, plain,
% 15.72/2.88 (((mult @ (rd @ (mult @ x3 @ x4) @ x4) @ x5) != (mult @ x3 @ x5))),
% 15.72/2.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 15.72/2.88 thf(f04, axiom,
% 15.72/2.88 (( mult @ ( rd @ A @ B ) @ B ) = ( rd @ ( mult @ A @ B ) @ B ))).
% 15.72/2.88 thf(zip_derived_cl3, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 15.72/2.88 inference('cnf', [status(esa)], [f04])).
% 15.72/2.88 thf(zip_derived_cl9, plain,
% 15.72/2.88 (((mult @ (mult @ (rd @ x3 @ x4) @ x4) @ x5) != (mult @ x3 @ x5))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 15.72/2.88 thf(f03, axiom,
% 15.72/2.88 (( mult @ A @ ( ld @ A @ B ) ) = ( ld @ A @ ( mult @ A @ B ) ))).
% 15.72/2.88 thf(zip_derived_cl2, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 15.72/2.88 inference('cnf', [status(esa)], [f03])).
% 15.72/2.88 thf(f07, axiom,
% 15.72/2.88 (( ld @ A @ ( mult @ A @ ( ld @ B @ B ) ) ) =
% 15.72/2.88 ( rd @ ( mult @ ( rd @ A @ A ) @ B ) @ B ))).
% 15.72/2.88 thf(zip_derived_cl6, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 15.72/2.88 = (rd @ (mult @ (rd @ X0 @ X0) @ X1) @ X1))),
% 15.72/2.88 inference('cnf', [status(esa)], [f07])).
% 15.72/2.88 thf(zip_derived_cl3, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 15.72/2.88 inference('cnf', [status(esa)], [f04])).
% 15.72/2.88 thf(zip_derived_cl12, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 15.72/2.88 = (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 15.72/2.88 thf(zip_derived_cl15, plain,
% 15.72/2.88 (![X0 : $i]:
% 15.72/2.88 ((ld @ X0 @ (ld @ X0 @ (mult @ X0 @ X0)))
% 15.72/2.88 = (mult @ (rd @ (rd @ X0 @ X0) @ X0) @ X0))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl12])).
% 15.72/2.88 thf(f01, axiom, (( ld @ A @ ( mult @ A @ A ) ) = ( A ))).
% 15.72/2.88 thf(zip_derived_cl0, plain,
% 15.72/2.88 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 15.72/2.88 inference('cnf', [status(esa)], [f01])).
% 15.72/2.88 thf(zip_derived_cl16, plain,
% 15.72/2.88 (![X0 : $i]: ((ld @ X0 @ X0) = (mult @ (rd @ (rd @ X0 @ X0) @ X0) @ X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 15.72/2.88 thf(zip_derived_cl3, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 15.72/2.88 inference('cnf', [status(esa)], [f04])).
% 15.72/2.88 thf(f02, axiom, (( rd @ ( mult @ A @ A ) @ A ) = ( A ))).
% 15.72/2.88 thf(zip_derived_cl1, plain,
% 15.72/2.88 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 15.72/2.88 inference('cnf', [status(esa)], [f02])).
% 15.72/2.88 thf(zip_derived_cl10, plain,
% 15.72/2.88 (![X0 : $i]: ((mult @ (rd @ X0 @ X0) @ X0) = (X0))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 15.72/2.88 thf(zip_derived_cl3, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 15.72/2.88 inference('cnf', [status(esa)], [f04])).
% 15.72/2.88 thf(zip_derived_cl17, plain,
% 15.72/2.88 (![X0 : $i]: ((mult @ (rd @ (rd @ X0 @ X0) @ X0) @ X0) = (rd @ X0 @ X0))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl3])).
% 15.72/2.88 thf(zip_derived_cl22, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl17])).
% 15.72/2.88 thf(zip_derived_cl2, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 15.72/2.88 inference('cnf', [status(esa)], [f03])).
% 15.72/2.88 thf(zip_derived_cl52, plain,
% 15.72/2.88 (![X0 : $i]:
% 15.72/2.88 ((mult @ X0 @ (rd @ X0 @ X0)) = (ld @ X0 @ (mult @ X0 @ X0)))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl2])).
% 15.72/2.88 thf(zip_derived_cl0, plain,
% 15.72/2.88 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 15.72/2.88 inference('cnf', [status(esa)], [f01])).
% 15.72/2.88 thf(zip_derived_cl55, plain,
% 15.72/2.88 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl0])).
% 15.72/2.88 thf(zip_derived_cl1, plain,
% 15.72/2.88 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 15.72/2.88 inference('cnf', [status(esa)], [f02])).
% 15.72/2.88 thf(f06, axiom,
% 15.72/2.88 (( rd @ ( mult @ ( mult @ A @ B ) @ ( rd @ C @ D ) ) @ ( rd @ C @ D ) ) =
% 15.72/2.88 ( mult @ A @ ( rd @ ( mult @ B @ D ) @ D ) ))).
% 15.72/2.88 thf(zip_derived_cl5, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.72/2.88 ((rd @ (mult @ (mult @ X0 @ X1) @ (rd @ X3 @ X2)) @ (rd @ X3 @ X2))
% 15.72/2.88 = (mult @ X0 @ (rd @ (mult @ X1 @ X2) @ X2)))),
% 15.72/2.88 inference('cnf', [status(esa)], [f06])).
% 15.72/2.88 thf(zip_derived_cl3, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 15.72/2.88 inference('cnf', [status(esa)], [f04])).
% 15.72/2.88 thf(zip_derived_cl177, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.72/2.88 ((rd @ (mult @ (mult @ X0 @ X1) @ (rd @ X3 @ X2)) @ (rd @ X3 @ X2))
% 15.72/2.88 = (mult @ X0 @ (mult @ (rd @ X1 @ X2) @ X2)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 15.72/2.88 thf(zip_derived_cl181, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((rd @ (mult @ (mult @ X2 @ X1) @ (rd @ (mult @ X0 @ X0) @ X0)) @ X0)
% 15.72/2.88 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl177])).
% 15.72/2.88 thf(zip_derived_cl1, plain,
% 15.72/2.88 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 15.72/2.88 inference('cnf', [status(esa)], [f02])).
% 15.72/2.88 thf(zip_derived_cl3, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 15.72/2.88 inference('cnf', [status(esa)], [f04])).
% 15.72/2.88 thf(zip_derived_cl196, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 15.72/2.88 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl181, zip_derived_cl1, zip_derived_cl3])).
% 15.72/2.88 thf(zip_derived_cl220, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1)
% 15.72/2.88 = (mult @ X0 @ (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1)))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl196])).
% 15.72/2.88 thf(zip_derived_cl12, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 15.72/2.88 = (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 15.72/2.88 thf(zip_derived_cl22, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl17])).
% 15.72/2.88 thf(zip_derived_cl51, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X0 @ (mult @ X0 @ (rd @ X1 @ X1)))
% 15.72/2.88 = (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl22])).
% 15.72/2.88 thf(zip_derived_cl2, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 15.72/2.88 inference('cnf', [status(esa)], [f03])).
% 15.72/2.88 thf(zip_derived_cl71, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X1 @ (mult @ (rd @ (rd @ X1 @ X1) @ X0) @ X0))
% 15.72/2.88 = (ld @ X1 @ (mult @ X1 @ (mult @ X1 @ (rd @ X0 @ X0)))))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl2])).
% 15.72/2.88 thf(zip_derived_cl0, plain,
% 15.72/2.88 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 15.72/2.88 inference('cnf', [status(esa)], [f01])).
% 15.72/2.88 thf(zip_derived_cl0, plain,
% 15.72/2.88 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 15.72/2.88 inference('cnf', [status(esa)], [f01])).
% 15.72/2.88 thf(f05, axiom,
% 15.72/2.88 (( ld @ ( ld @ A @ B ) @ ( mult @ ( ld @ A @ B ) @ ( mult @ C @ D ) ) ) =
% 15.72/2.88 ( mult @ ( ld @ A @ ( mult @ A @ C ) ) @ D ))).
% 15.72/2.88 thf(zip_derived_cl4, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.72/2.88 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 15.72/2.88 = (mult @ (ld @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 15.72/2.88 inference('cnf', [status(esa)], [f05])).
% 15.72/2.88 thf(zip_derived_cl32, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((ld @ (ld @ X0 @ (mult @ X0 @ X0)) @ (mult @ X0 @ (mult @ X2 @ X1)))
% 15.72/2.88 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 15.72/2.88 thf(zip_derived_cl0, plain,
% 15.72/2.88 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 15.72/2.88 inference('cnf', [status(esa)], [f01])).
% 15.72/2.88 thf(zip_derived_cl41, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 15.72/2.88 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl0])).
% 15.72/2.88 thf(zip_derived_cl100, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl41])).
% 15.72/2.88 thf(zip_derived_cl339, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X1 @ (mult @ (rd @ (rd @ X1 @ X1) @ X0) @ X0))
% 15.72/2.88 = (mult @ X1 @ (rd @ X0 @ X0)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl100])).
% 15.72/2.88 thf(zip_derived_cl524, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl339])).
% 15.72/2.88 thf(zip_derived_cl526, plain,
% 15.72/2.88 (((mult @ (mult @ x3 @ (rd @ x4 @ x4)) @ x5) != (mult @ x3 @ x5))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl524])).
% 15.72/2.88 thf(zip_derived_cl3, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 15.72/2.88 inference('cnf', [status(esa)], [f04])).
% 15.72/2.88 thf(zip_derived_cl524, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl339])).
% 15.72/2.88 thf(zip_derived_cl525, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X0 @ (rd @ X1 @ X1)) = (rd @ (mult @ X0 @ X1) @ X1))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl524])).
% 15.72/2.88 thf(zip_derived_cl524, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl339])).
% 15.72/2.88 thf(zip_derived_cl549, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (mult @ X1 @ (rd @ X0 @ X0)) @ X0)
% 15.72/2.88 = (mult @ (mult @ X1 @ X0) @ (rd @ X0 @ X0)))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl525, zip_derived_cl524])).
% 15.72/2.88 thf(zip_derived_cl3, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 15.72/2.88 inference('cnf', [status(esa)], [f04])).
% 15.72/2.88 thf(zip_derived_cl196, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 15.72/2.88 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl181, zip_derived_cl1, zip_derived_cl3])).
% 15.72/2.88 thf(zip_derived_cl217, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (mult @ (rd @ X1 @ X0) @ X0) @ X0)
% 15.72/2.88 = (mult @ X1 @ (mult @ (rd @ X0 @ X0) @ X0)))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl196])).
% 15.72/2.88 thf(zip_derived_cl10, plain,
% 15.72/2.88 (![X0 : $i]: ((mult @ (rd @ X0 @ X0) @ X0) = (X0))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 15.72/2.88 thf(zip_derived_cl229, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (mult @ (rd @ X1 @ X0) @ X0) @ X0) = (mult @ X1 @ X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl217, zip_derived_cl10])).
% 15.72/2.88 thf(zip_derived_cl524, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl339])).
% 15.72/2.88 thf(zip_derived_cl532, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (mult @ X1 @ (rd @ X0 @ X0)) @ X0) = (mult @ X1 @ X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl229, zip_derived_cl524])).
% 15.72/2.88 thf(zip_derived_cl735, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X1 @ X0) = (mult @ (mult @ X1 @ X0) @ (rd @ X0 @ X0)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl549, zip_derived_cl532])).
% 15.72/2.88 thf(zip_derived_cl525, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X0 @ (rd @ X1 @ X1)) = (rd @ (mult @ X0 @ X1) @ X1))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl524])).
% 15.72/2.88 thf(zip_derived_cl737, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (mult @ X1 @ X0) @ (rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)))
% 15.72/2.88 = (rd @ (mult @ X1 @ X0) @ (rd @ X0 @ X0)))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl735, zip_derived_cl525])).
% 15.72/2.88 thf(zip_derived_cl524, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl339])).
% 15.72/2.88 thf(zip_derived_cl17, plain,
% 15.72/2.88 (![X0 : $i]: ((mult @ (rd @ (rd @ X0 @ X0) @ X0) @ X0) = (rd @ X0 @ X0))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl3])).
% 15.72/2.88 thf(zip_derived_cl540, plain,
% 15.72/2.88 (![X0 : $i]: ((mult @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)) = (rd @ X0 @ X0))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl524, zip_derived_cl17])).
% 15.72/2.88 thf(zip_derived_cl1, plain,
% 15.72/2.88 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 15.72/2.88 inference('cnf', [status(esa)], [f02])).
% 15.72/2.88 thf(zip_derived_cl566, plain,
% 15.72/2.88 (![X0 : $i]: ((rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)) = (rd @ X0 @ X0))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl540, zip_derived_cl1])).
% 15.72/2.88 thf(zip_derived_cl735, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X1 @ X0) = (mult @ (mult @ X1 @ X0) @ (rd @ X0 @ X0)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl549, zip_derived_cl532])).
% 15.72/2.88 thf(zip_derived_cl772, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X1 @ X0) = (rd @ (mult @ X1 @ X0) @ (rd @ X0 @ X0)))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl737, zip_derived_cl566, zip_derived_cl735])).
% 15.72/2.88 thf(zip_derived_cl524, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl339])).
% 15.72/2.88 thf(zip_derived_cl524, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl339])).
% 15.72/2.88 thf(zip_derived_cl51, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X0 @ (mult @ X0 @ (rd @ X1 @ X1)))
% 15.72/2.88 = (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl22])).
% 15.72/2.88 thf(zip_derived_cl524, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl339])).
% 15.72/2.88 thf(zip_derived_cl528, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X0 @ (mult @ X0 @ (rd @ X1 @ X1)))
% 15.72/2.88 = (mult @ (rd @ X0 @ X0) @ (rd @ X1 @ X1)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl524])).
% 15.72/2.88 thf(zip_derived_cl41, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 15.72/2.88 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl0])).
% 15.72/2.88 thf(zip_derived_cl666, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((ld @ X1 @ (mult @ X1 @ (mult @ (rd @ X0 @ X0) @ X2)))
% 15.72/2.88 = (mult @ (mult @ (rd @ X1 @ X1) @ (rd @ X0 @ X0)) @ X2))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl528, zip_derived_cl41])).
% 15.72/2.88 thf(zip_derived_cl1806, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X1 @ (mult @ X1 @ (mult @ X0 @ (rd @ X0 @ X0))))
% 15.72/2.88 = (mult @ (mult @ (rd @ X1 @ X1) @ (rd @ X0 @ X0)) @ X0))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl524, zip_derived_cl666])).
% 15.72/2.88 thf(zip_derived_cl55, plain,
% 15.72/2.88 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl0])).
% 15.72/2.88 thf(zip_derived_cl532, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (mult @ X1 @ (rd @ X0 @ X0)) @ X0) = (mult @ X1 @ X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl229, zip_derived_cl524])).
% 15.72/2.88 thf(zip_derived_cl1825, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (rd @ X1 @ X1) @ X0))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl1806, zip_derived_cl55, zip_derived_cl532])).
% 15.72/2.88 thf(zip_derived_cl1860, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ (rd @ X1 @ X0) @ (mult @ X1 @ (rd @ X0 @ X0)))
% 15.72/2.88 = (mult @ (rd @ (rd @ X1 @ X0) @ (rd @ X1 @ X0)) @ X0))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl524, zip_derived_cl1825])).
% 15.72/2.88 thf(zip_derived_cl524, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl339])).
% 15.72/2.88 thf(zip_derived_cl100, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl41])).
% 15.72/2.88 thf(zip_derived_cl55, plain,
% 15.72/2.88 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl0])).
% 15.72/2.88 thf(zip_derived_cl4, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.72/2.88 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 15.72/2.88 = (mult @ (ld @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 15.72/2.88 inference('cnf', [status(esa)], [f05])).
% 15.72/2.88 thf(zip_derived_cl41, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 15.72/2.88 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl0])).
% 15.72/2.88 thf(zip_derived_cl87, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.72/2.88 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 15.72/2.88 = (ld @ X0 @ (mult @ X0 @ (mult @ X1 @ X2))))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl41])).
% 15.72/2.88 thf(zip_derived_cl1825, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (rd @ X1 @ X1) @ X0))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl1806, zip_derived_cl55, zip_derived_cl532])).
% 15.72/2.88 thf(zip_derived_cl6911, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.72/2.88 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 15.72/2.88 = (mult @ (rd @ X0 @ X0) @ (mult @ X1 @ X2)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl1825])).
% 15.72/2.88 thf(zip_derived_cl6938, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((ld @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))
% 15.72/2.88 = (mult @ (rd @ X1 @ X1) @ (mult @ X0 @ (rd @ X0 @ X0))))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl6911])).
% 15.72/2.88 thf(zip_derived_cl55, plain,
% 15.72/2.88 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl0])).
% 15.72/2.88 thf(zip_derived_cl7032, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((ld @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))
% 15.72/2.88 = (mult @ (rd @ X1 @ X1) @ X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl6938, zip_derived_cl55])).
% 15.72/2.88 thf(zip_derived_cl7778, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((ld @ (ld @ X1 @ (mult @ X1 @ (mult @ X1 @ X0))) @
% 15.72/2.88 (mult @ (mult @ X1 @ X0) @ X2)) = (mult @ (rd @ X1 @ X1) @ X2))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl7032])).
% 15.72/2.88 thf(zip_derived_cl100, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl41])).
% 15.72/2.88 thf(zip_derived_cl1825, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (rd @ X1 @ X1) @ X0))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl1806, zip_derived_cl55, zip_derived_cl532])).
% 15.72/2.88 thf(zip_derived_cl7831, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ (rd @ (mult @ X1 @ X0) @ (mult @ X1 @ X0)) @ X2)
% 15.72/2.88 = (mult @ (rd @ X1 @ X1) @ X2))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl7778, zip_derived_cl100, zip_derived_cl1825])).
% 15.72/2.88 thf(zip_derived_cl8112, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @
% 15.72/2.88 (rd @ (mult @ (rd @ X1 @ X0) @ X0) @ (mult @ X1 @ (rd @ X0 @ X0))) @
% 15.72/2.88 X2) = (mult @ (rd @ (rd @ X1 @ X0) @ (rd @ X1 @ X0)) @ X2))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl524, zip_derived_cl7831])).
% 15.72/2.88 thf(zip_derived_cl524, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl339])).
% 15.72/2.88 thf(zip_derived_cl7831, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ (rd @ (mult @ X1 @ X0) @ (mult @ X1 @ X0)) @ X2)
% 15.72/2.88 = (mult @ (rd @ X1 @ X1) @ X2))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl7778, zip_derived_cl100, zip_derived_cl1825])).
% 15.72/2.88 thf(zip_derived_cl8204, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ (rd @ X1 @ X1) @ X2)
% 15.72/2.88 = (mult @ (rd @ (rd @ X1 @ X0) @ (rd @ X1 @ X0)) @ X2))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl8112, zip_derived_cl524, zip_derived_cl7831])).
% 15.72/2.88 thf(zip_derived_cl8593, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ (rd @ X1 @ X0) @ (mult @ X1 @ (rd @ X0 @ X0)))
% 15.72/2.88 = (mult @ (rd @ X1 @ X1) @ X0))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl1860, zip_derived_cl8204])).
% 15.72/2.88 thf(zip_derived_cl11654, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ (mult @ X1 @ X0) @
% 15.72/2.88 (mult @ (mult @ X1 @ X0) @ (rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0))))
% 15.72/2.88 = (mult @ (rd @ (mult @ X1 @ X0) @ (mult @ X1 @ X0)) @
% 15.72/2.88 (rd @ X0 @ X0)))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl772, zip_derived_cl8593])).
% 15.72/2.88 thf(zip_derived_cl566, plain,
% 15.72/2.88 (![X0 : $i]: ((rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)) = (rd @ X0 @ X0))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl540, zip_derived_cl1])).
% 15.72/2.88 thf(zip_derived_cl735, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X1 @ X0) = (mult @ (mult @ X1 @ X0) @ (rd @ X0 @ X0)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl549, zip_derived_cl532])).
% 15.72/2.88 thf(zip_derived_cl22, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl17])).
% 15.72/2.88 thf(zip_derived_cl7831, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ (rd @ (mult @ X1 @ X0) @ (mult @ X1 @ X0)) @ X2)
% 15.72/2.88 = (mult @ (rd @ X1 @ X1) @ X2))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl7778, zip_derived_cl100, zip_derived_cl1825])).
% 15.72/2.88 thf(zip_derived_cl11696, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((rd @ (mult @ X1 @ X0) @ (mult @ X1 @ X0))
% 15.72/2.88 = (mult @ (rd @ X1 @ X1) @ (rd @ X0 @ X0)))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl11654, zip_derived_cl566, zip_derived_cl735,
% 15.72/2.88 zip_derived_cl22, zip_derived_cl7831])).
% 15.72/2.88 thf(zip_derived_cl41, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 15.72/2.88 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl0])).
% 15.72/2.88 thf(zip_derived_cl1825, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (rd @ X1 @ X1) @ X0))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl1806, zip_derived_cl55, zip_derived_cl532])).
% 15.72/2.88 thf(zip_derived_cl1825, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (rd @ X1 @ X1) @ X0))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl1806, zip_derived_cl55, zip_derived_cl532])).
% 15.72/2.88 thf(zip_derived_cl1839, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X0) @ (mult @ X2 @ X1))
% 15.72/2.88 = (mult @ (mult @ (rd @ X0 @ X0) @ X2) @ X1))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl41, zip_derived_cl1825, zip_derived_cl1825])).
% 15.72/2.88 thf(zip_derived_cl11784, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ (rd @ X1 @ X1) @ (mult @ (rd @ X0 @ X0) @ X2))
% 15.72/2.88 = (mult @ (rd @ (mult @ X1 @ X0) @ (mult @ X1 @ X0)) @ X2))),
% 15.72/2.88 inference('sup+', [status(thm)],
% 15.72/2.88 [zip_derived_cl11696, zip_derived_cl1839])).
% 15.72/2.88 thf(zip_derived_cl7831, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ (rd @ (mult @ X1 @ X0) @ (mult @ X1 @ X0)) @ X2)
% 15.72/2.88 = (mult @ (rd @ X1 @ X1) @ X2))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl7778, zip_derived_cl100, zip_derived_cl1825])).
% 15.72/2.88 thf(zip_derived_cl11865, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ (rd @ X1 @ X1) @ (mult @ (rd @ X0 @ X0) @ X2))
% 15.72/2.88 = (mult @ (rd @ X1 @ X1) @ X2))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl11784, zip_derived_cl7831])).
% 15.72/2.88 thf(zip_derived_cl1825, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (rd @ X1 @ X1) @ X0))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl1806, zip_derived_cl55, zip_derived_cl532])).
% 15.72/2.88 thf(zip_derived_cl2, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 15.72/2.88 inference('cnf', [status(esa)], [f03])).
% 15.72/2.88 thf(zip_derived_cl1825, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (rd @ X1 @ X1) @ X0))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl1806, zip_derived_cl55, zip_derived_cl532])).
% 15.72/2.88 thf(zip_derived_cl1837, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X0 @ (ld @ X0 @ X1)) = (mult @ (rd @ X0 @ X0) @ X1))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl1825])).
% 15.72/2.88 thf(zip_derived_cl2207, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X1 @ (mult @ (rd @ X1 @ X1) @ X0))
% 15.72/2.88 = (mult @ (rd @ X1 @ X1) @ (mult @ X1 @ X0)))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl1825, zip_derived_cl1837])).
% 15.72/2.88 thf(zip_derived_cl1825, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (rd @ X1 @ X1) @ X0))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl1806, zip_derived_cl55, zip_derived_cl532])).
% 15.72/2.88 thf(zip_derived_cl100, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl41])).
% 15.72/2.88 thf(zip_derived_cl1848, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X1 @ X1) @ (mult @ X1 @ X0)) = (mult @ X1 @ X0))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl1825, zip_derived_cl100])).
% 15.72/2.88 thf(zip_derived_cl2214, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X1 @ (mult @ (rd @ X1 @ X1) @ X0)) = (mult @ X1 @ X0))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl2207, zip_derived_cl1848])).
% 15.72/2.88 thf(zip_derived_cl14917, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ X1 @ (mult @ (rd @ X1 @ X1) @ X0))
% 15.72/2.88 = (mult @ X1 @ (mult @ (rd @ X2 @ X2) @ X0)))),
% 15.72/2.88 inference('sup+', [status(thm)],
% 15.72/2.88 [zip_derived_cl11865, zip_derived_cl2214])).
% 15.72/2.88 thf(zip_derived_cl2214, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X1 @ (mult @ (rd @ X1 @ X1) @ X0)) = (mult @ X1 @ X0))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl2207, zip_derived_cl1848])).
% 15.72/2.88 thf(zip_derived_cl15049, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ X1 @ X0) = (mult @ X1 @ (mult @ (rd @ X2 @ X2) @ X0)))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl14917, zip_derived_cl2214])).
% 15.72/2.88 thf(zip_derived_cl196, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 15.72/2.88 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl181, zip_derived_cl1, zip_derived_cl3])).
% 15.72/2.88 thf(zip_derived_cl524, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl339])).
% 15.72/2.88 thf(zip_derived_cl530, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 15.72/2.88 = (mult @ X2 @ (mult @ X1 @ (rd @ X0 @ X0))))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl524])).
% 15.72/2.88 thf(zip_derived_cl532, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (mult @ X1 @ (rd @ X0 @ X0)) @ X0) = (mult @ X1 @ X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl229, zip_derived_cl524])).
% 15.72/2.88 thf(zip_derived_cl695, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @
% 15.72/2.88 (mult @ X2 @ (mult @ X1 @ (rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)))) @
% 15.72/2.88 X0) = (mult @ (rd @ (mult @ X2 @ X1) @ (rd @ X0 @ X0)) @ X0))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl530, zip_derived_cl532])).
% 15.72/2.88 thf(zip_derived_cl566, plain,
% 15.72/2.88 (![X0 : $i]: ((rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)) = (rd @ X0 @ X0))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl540, zip_derived_cl1])).
% 15.72/2.88 thf(zip_derived_cl732, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ (mult @ X2 @ (mult @ X1 @ (rd @ X0 @ X0))) @ X0)
% 15.72/2.88 = (mult @ (rd @ (mult @ X2 @ X1) @ (rd @ X0 @ X0)) @ X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl695, zip_derived_cl566])).
% 15.72/2.88 thf(zip_derived_cl524, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl220, zip_derived_cl339])).
% 15.72/2.88 thf(zip_derived_cl532, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (mult @ X1 @ (rd @ X0 @ X0)) @ X0) = (mult @ X1 @ X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl229, zip_derived_cl524])).
% 15.72/2.88 thf(zip_derived_cl635, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (mult @ X1 @ (rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0))) @ X0)
% 15.72/2.88 = (mult @ (rd @ X1 @ (rd @ X0 @ X0)) @ X0))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl524, zip_derived_cl532])).
% 15.72/2.88 thf(zip_derived_cl566, plain,
% 15.72/2.88 (![X0 : $i]: ((rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)) = (rd @ X0 @ X0))),
% 15.72/2.88 inference('sup+', [status(thm)], [zip_derived_cl540, zip_derived_cl1])).
% 15.72/2.88 thf(zip_derived_cl532, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (mult @ X1 @ (rd @ X0 @ X0)) @ X0) = (mult @ X1 @ X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl229, zip_derived_cl524])).
% 15.72/2.88 thf(zip_derived_cl643, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ X1 @ X0) = (mult @ (rd @ X1 @ (rd @ X0 @ X0)) @ X0))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl635, zip_derived_cl566, zip_derived_cl532])).
% 15.72/2.88 thf(zip_derived_cl2801, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ (mult @ X2 @ (mult @ X1 @ (rd @ X0 @ X0))) @ X0)
% 15.72/2.88 = (mult @ (mult @ X2 @ X1) @ X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl732, zip_derived_cl643])).
% 15.72/2.88 thf(zip_derived_cl15123, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ (mult @ X1 @ (rd @ X0 @ X0)) @ X0)
% 15.72/2.88 = (mult @ (mult @ X1 @ (rd @ X2 @ X2)) @ X0))),
% 15.72/2.88 inference('sup+', [status(thm)],
% 15.72/2.88 [zip_derived_cl15049, zip_derived_cl2801])).
% 15.72/2.88 thf(zip_derived_cl532, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i]:
% 15.72/2.88 ((mult @ (mult @ X1 @ (rd @ X0 @ X0)) @ X0) = (mult @ X1 @ X0))),
% 15.72/2.88 inference('demod', [status(thm)], [zip_derived_cl229, zip_derived_cl524])).
% 15.72/2.88 thf(zip_derived_cl15284, plain,
% 15.72/2.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.72/2.88 ((mult @ X1 @ X0) = (mult @ (mult @ X1 @ (rd @ X2 @ X2)) @ X0))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl15123, zip_derived_cl532])).
% 15.72/2.88 thf(zip_derived_cl15327, plain, (((mult @ x3 @ x5) != (mult @ x3 @ x5))),
% 15.72/2.88 inference('demod', [status(thm)],
% 15.72/2.88 [zip_derived_cl526, zip_derived_cl15284])).
% 15.72/2.88 thf(zip_derived_cl15328, plain, ($false),
% 15.72/2.88 inference('simplify', [status(thm)], [zip_derived_cl15327])).
% 15.72/2.88
% 15.72/2.88 % SZS output end Refutation
% 15.72/2.88
% 15.72/2.88
% 15.72/2.88 % Terminating...
% 16.36/2.95 % Runner terminated.
% 16.36/2.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------