TSTP Solution File: GRP684-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP684-1 : 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.ZWhpKOhhYU true
% Computer : n019.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 9.29s 2.00s
% Output : Refutation 9.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP684-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZWhpKOhhYU true
% 0.17/0.34 % Computer : n019.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon Aug 28 21:16:13 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.29/2.00 % Solved by fo/fo7.sh.
% 9.29/2.00 % done 344 iterations in 1.209s
% 9.29/2.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.29/2.00 % SZS output start Refutation
% 9.29/2.00 thf(rd_type, type, rd: $i > $i > $i).
% 9.29/2.00 thf(b_type, type, b: $i).
% 9.29/2.00 thf(mult_type, type, mult: $i > $i > $i).
% 9.29/2.00 thf(a_type, type, a: $i).
% 9.29/2.00 thf(ld_type, type, ld: $i > $i > $i).
% 9.29/2.00 thf(c_type, type, c: $i).
% 9.29/2.00 thf(goals, conjecture,
% 9.29/2.00 (( rd @ ( mult @ a @ ( mult @ b @ c ) ) @ ( mult @ b @ c ) ) =
% 9.29/2.00 ( rd @ ( mult @ a @ c ) @ c ))).
% 9.29/2.00 thf(zf_stmt_0, negated_conjecture,
% 9.29/2.00 (( rd @ ( mult @ a @ ( mult @ b @ c ) ) @ ( mult @ b @ c ) ) !=
% 9.29/2.00 ( rd @ ( mult @ a @ c ) @ c )),
% 9.29/2.00 inference('cnf.neg', [status(esa)], [goals])).
% 9.29/2.00 thf(zip_derived_cl7, plain,
% 9.29/2.00 (((rd @ (mult @ a @ (mult @ b @ c)) @ (mult @ b @ c))
% 9.29/2.00 != (rd @ (mult @ a @ c) @ c))),
% 9.29/2.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.29/2.00 thf(c04, axiom,
% 9.29/2.00 (( mult @ ( rd @ A @ B ) @ B ) = ( rd @ ( mult @ A @ B ) @ B ))).
% 9.29/2.00 thf(zip_derived_cl3, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 9.29/2.00 inference('cnf', [status(esa)], [c04])).
% 9.29/2.00 thf(zip_derived_cl3, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 9.29/2.00 inference('cnf', [status(esa)], [c04])).
% 9.29/2.00 thf(zip_derived_cl9, plain,
% 9.29/2.00 (((mult @ (rd @ a @ (mult @ b @ c)) @ (mult @ b @ c))
% 9.29/2.00 != (mult @ (rd @ a @ c) @ c))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl7, zip_derived_cl3, zip_derived_cl3])).
% 9.29/2.00 thf(c01, axiom, (( ld @ A @ ( mult @ A @ A ) ) = ( A ))).
% 9.29/2.00 thf(zip_derived_cl0, plain,
% 9.29/2.00 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 9.29/2.00 inference('cnf', [status(esa)], [c01])).
% 9.29/2.00 thf(c03, axiom,
% 9.29/2.00 (( mult @ A @ ( ld @ A @ B ) ) = ( ld @ A @ ( mult @ A @ B ) ))).
% 9.29/2.00 thf(zip_derived_cl2, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 9.29/2.00 inference('cnf', [status(esa)], [c03])).
% 9.29/2.00 thf(c02, axiom, (( rd @ ( mult @ A @ A ) @ A ) = ( A ))).
% 9.29/2.00 thf(zip_derived_cl1, plain,
% 9.29/2.00 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 9.29/2.00 inference('cnf', [status(esa)], [c02])).
% 9.29/2.00 thf(c06, axiom,
% 9.29/2.00 (( rd @ ( mult @ ( mult @ A @ B ) @ ( rd @ C @ D ) ) @ ( rd @ C @ D ) ) =
% 9.29/2.00 ( mult @ A @ ( rd @ ( mult @ B @ D ) @ D ) ))).
% 9.29/2.00 thf(zip_derived_cl5, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.29/2.00 ((rd @ (mult @ (mult @ X0 @ X1) @ (rd @ X3 @ X2)) @ (rd @ X3 @ X2))
% 9.29/2.00 = (mult @ X0 @ (rd @ (mult @ X1 @ X2) @ X2)))),
% 9.29/2.00 inference('cnf', [status(esa)], [c06])).
% 9.29/2.00 thf(zip_derived_cl3, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 9.29/2.00 inference('cnf', [status(esa)], [c04])).
% 9.29/2.00 thf(zip_derived_cl76, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.29/2.00 ((rd @ (mult @ (mult @ X0 @ X1) @ (rd @ X3 @ X2)) @ (rd @ X3 @ X2))
% 9.29/2.00 = (mult @ X0 @ (mult @ (rd @ X1 @ X2) @ X2)))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 9.29/2.00 thf(zip_derived_cl82, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((rd @ (mult @ (mult @ X2 @ X1) @ (rd @ (mult @ X0 @ X0) @ X0)) @ X0)
% 9.29/2.00 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl76])).
% 9.29/2.00 thf(zip_derived_cl1, plain,
% 9.29/2.00 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 9.29/2.00 inference('cnf', [status(esa)], [c02])).
% 9.29/2.00 thf(zip_derived_cl3, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 9.29/2.00 inference('cnf', [status(esa)], [c04])).
% 9.29/2.00 thf(zip_derived_cl100, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 9.29/2.00 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl82, zip_derived_cl1, zip_derived_cl3])).
% 9.29/2.00 thf(zip_derived_cl120, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((mult @ (rd @ (ld @ X1 @ (mult @ X1 @ X0)) @ X2) @ X2)
% 9.29/2.00 = (mult @ X1 @ (mult @ (rd @ (ld @ X1 @ X0) @ X2) @ X2)))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl100])).
% 9.29/2.00 thf(zip_derived_cl581, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (rd @ X0 @ X1) @ X1)
% 9.29/2.00 = (mult @ X0 @ (mult @ (rd @ (ld @ X0 @ X0) @ X1) @ X1)))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 9.29/2.00 thf(c07, axiom,
% 9.29/2.00 (( ld @ A @ ( mult @ A @ ( ld @ B @ B ) ) ) =
% 9.29/2.00 ( rd @ ( mult @ ( rd @ A @ A ) @ B ) @ B ))).
% 9.29/2.00 thf(zip_derived_cl6, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 9.29/2.00 = (rd @ (mult @ (rd @ X0 @ X0) @ X1) @ X1))),
% 9.29/2.00 inference('cnf', [status(esa)], [c07])).
% 9.29/2.00 thf(zip_derived_cl3, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 9.29/2.00 inference('cnf', [status(esa)], [c04])).
% 9.29/2.00 thf(zip_derived_cl1, plain,
% 9.29/2.00 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 9.29/2.00 inference('cnf', [status(esa)], [c02])).
% 9.29/2.00 thf(zip_derived_cl10, plain,
% 9.29/2.00 (![X0 : $i]: ((mult @ (rd @ X0 @ X0) @ X0) = (X0))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 9.29/2.00 thf(zip_derived_cl6, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 9.29/2.00 = (rd @ (mult @ (rd @ X0 @ X0) @ X1) @ X1))),
% 9.29/2.00 inference('cnf', [status(esa)], [c07])).
% 9.29/2.00 thf(zip_derived_cl18, plain,
% 9.29/2.00 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ (ld @ X0 @ X0))) = (rd @ X0 @ X0))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl6])).
% 9.29/2.00 thf(zip_derived_cl2, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 9.29/2.00 inference('cnf', [status(esa)], [c03])).
% 9.29/2.00 thf(zip_derived_cl0, plain,
% 9.29/2.00 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 9.29/2.00 inference('cnf', [status(esa)], [c01])).
% 9.29/2.00 thf(zip_derived_cl19, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl18, zip_derived_cl2, zip_derived_cl0])).
% 9.29/2.00 thf(zip_derived_cl3, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 9.29/2.00 inference('cnf', [status(esa)], [c04])).
% 9.29/2.00 thf(zip_derived_cl20, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 9.29/2.00 = (mult @ (rd @ (ld @ X0 @ X0) @ X1) @ X1))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl6, zip_derived_cl19, zip_derived_cl3])).
% 9.29/2.00 thf(zip_derived_cl2, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 9.29/2.00 inference('cnf', [status(esa)], [c03])).
% 9.29/2.00 thf(zip_derived_cl603, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (rd @ X0 @ X1) @ X1)
% 9.29/2.00 = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl581, zip_derived_cl20, zip_derived_cl2])).
% 9.29/2.00 thf(zip_derived_cl603, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (rd @ X0 @ X1) @ X1)
% 9.29/2.00 = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl581, zip_derived_cl20, zip_derived_cl2])).
% 9.29/2.00 thf(zip_derived_cl690, plain,
% 9.29/2.00 (((ld @ a @
% 9.29/2.00 (mult @ a @ (mult @ a @ (ld @ (mult @ b @ c) @ (mult @ b @ c)))))
% 9.29/2.00 != (ld @ a @ (mult @ a @ (mult @ a @ (ld @ c @ c)))))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl9, zip_derived_cl603, zip_derived_cl603])).
% 9.29/2.00 thf(zip_derived_cl0, plain,
% 9.29/2.00 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 9.29/2.00 inference('cnf', [status(esa)], [c01])).
% 9.29/2.00 thf(zip_derived_cl0, plain,
% 9.29/2.00 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 9.29/2.00 inference('cnf', [status(esa)], [c01])).
% 9.29/2.00 thf(c05, axiom,
% 9.29/2.00 (( ld @ ( ld @ A @ B ) @ ( mult @ ( ld @ A @ B ) @ ( mult @ C @ D ) ) ) =
% 9.29/2.00 ( mult @ ( ld @ A @ ( mult @ A @ C ) ) @ D ))).
% 9.29/2.00 thf(zip_derived_cl4, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.29/2.00 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 9.29/2.00 = (mult @ (ld @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 9.29/2.00 inference('cnf', [status(esa)], [c05])).
% 9.29/2.00 thf(zip_derived_cl1397, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ (ld @ X0 @ (mult @ X0 @ X0)) @ (mult @ X0 @ (mult @ X2 @ X1)))
% 9.29/2.00 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 9.29/2.00 thf(zip_derived_cl0, plain,
% 9.29/2.00 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 9.29/2.00 inference('cnf', [status(esa)], [c01])).
% 9.29/2.00 thf(zip_derived_cl1434, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 9.29/2.00 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl1397, zip_derived_cl0])).
% 9.29/2.00 thf(zip_derived_cl1495, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1434])).
% 9.29/2.00 thf(zip_derived_cl1495, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1434])).
% 9.29/2.00 thf(zip_derived_cl1634, plain,
% 9.29/2.00 (((mult @ a @ (ld @ (mult @ b @ c) @ (mult @ b @ c)))
% 9.29/2.00 != (mult @ a @ (ld @ c @ c)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl690, zip_derived_cl1495, zip_derived_cl1495])).
% 9.29/2.00 thf(zip_derived_cl3, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 9.29/2.00 inference('cnf', [status(esa)], [c04])).
% 9.29/2.00 thf(zip_derived_cl603, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (rd @ X0 @ X1) @ X1)
% 9.29/2.00 = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl581, zip_derived_cl20, zip_derived_cl2])).
% 9.29/2.00 thf(zip_derived_cl689, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1))))
% 9.29/2.00 = (rd @ (mult @ X0 @ X1) @ X1))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl603])).
% 9.29/2.00 thf(zip_derived_cl1495, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1434])).
% 9.29/2.00 thf(zip_derived_cl1633, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ X0 @ (ld @ X1 @ X1)) = (rd @ (mult @ X0 @ X1) @ X1))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl689, zip_derived_cl1495])).
% 9.29/2.00 thf(zip_derived_cl603, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (rd @ X0 @ X1) @ X1)
% 9.29/2.00 = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl581, zip_derived_cl20, zip_derived_cl2])).
% 9.29/2.00 thf(zip_derived_cl1495, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1434])).
% 9.29/2.00 thf(zip_derived_cl1632, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (ld @ X1 @ X1)))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl603, zip_derived_cl1495])).
% 9.29/2.00 thf(zip_derived_cl1692, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (mult @ X1 @ (ld @ X0 @ X0)) @ X0)
% 9.29/2.00 = (mult @ (mult @ X1 @ X0) @ (ld @ X0 @ X0)))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl1633, zip_derived_cl1632])).
% 9.29/2.00 thf(zip_derived_cl3, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 9.29/2.00 inference('cnf', [status(esa)], [c04])).
% 9.29/2.00 thf(zip_derived_cl100, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 9.29/2.00 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl82, zip_derived_cl1, zip_derived_cl3])).
% 9.29/2.00 thf(zip_derived_cl118, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (mult @ (rd @ X1 @ X0) @ X0) @ X0)
% 9.29/2.00 = (mult @ X1 @ (mult @ (rd @ X0 @ X0) @ X0)))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl100])).
% 9.29/2.00 thf(zip_derived_cl19, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl18, zip_derived_cl2, zip_derived_cl0])).
% 9.29/2.00 thf(zip_derived_cl10, plain,
% 9.29/2.00 (![X0 : $i]: ((mult @ (rd @ X0 @ X0) @ X0) = (X0))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 9.29/2.00 thf(zip_derived_cl19, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl18, zip_derived_cl2, zip_derived_cl0])).
% 9.29/2.00 thf(zip_derived_cl21, plain,
% 9.29/2.00 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl19])).
% 9.29/2.00 thf(zip_derived_cl131, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (mult @ (rd @ X1 @ X0) @ X0) @ X0) = (mult @ X1 @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl118, zip_derived_cl19, zip_derived_cl21])).
% 9.29/2.00 thf(zip_derived_cl603, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (rd @ X0 @ X1) @ X1)
% 9.29/2.00 = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl581, zip_derived_cl20, zip_derived_cl2])).
% 9.29/2.00 thf(zip_derived_cl697, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (ld @ X1 @ (mult @ X1 @ (mult @ X1 @ (ld @ X0 @ X0)))) @ X0)
% 9.29/2.00 = (mult @ X1 @ X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl603])).
% 9.29/2.00 thf(zip_derived_cl1495, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1434])).
% 9.29/2.00 thf(zip_derived_cl1636, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (mult @ X1 @ (ld @ X0 @ X0)) @ X0) = (mult @ X1 @ X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl697, zip_derived_cl1495])).
% 9.29/2.00 thf(zip_derived_cl1920, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ X1 @ X0) = (mult @ (mult @ X1 @ X0) @ (ld @ X0 @ X0)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl1692, zip_derived_cl1636])).
% 9.29/2.00 thf(zip_derived_cl1495, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1434])).
% 9.29/2.00 thf(zip_derived_cl20, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 9.29/2.00 = (mult @ (rd @ (ld @ X0 @ X0) @ X1) @ X1))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl6, zip_derived_cl19, zip_derived_cl3])).
% 9.29/2.00 thf(zip_derived_cl131, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (mult @ (rd @ X1 @ X0) @ X0) @ X0) = (mult @ X1 @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl118, zip_derived_cl19, zip_derived_cl21])).
% 9.29/2.00 thf(zip_derived_cl140, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (ld @ X1 @ (mult @ X1 @ (ld @ X0 @ X0))) @ X0)
% 9.29/2.00 = (mult @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl131])).
% 9.29/2.00 thf(zip_derived_cl4, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.29/2.00 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 9.29/2.00 = (mult @ (ld @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 9.29/2.00 inference('cnf', [status(esa)], [c05])).
% 9.29/2.00 thf(zip_derived_cl1408, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X2) @
% 9.29/2.00 (mult @ (ld @ X1 @ X2) @ (mult @ (ld @ X0 @ X0) @ X0)))
% 9.29/2.00 = (mult @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl4])).
% 9.29/2.00 thf(zip_derived_cl21, plain,
% 9.29/2.00 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl19])).
% 9.29/2.00 thf(zip_derived_cl1442, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))
% 9.29/2.00 = (mult @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl1408, zip_derived_cl21])).
% 9.29/2.00 thf(zip_derived_cl1434, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 9.29/2.00 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl1397, zip_derived_cl0])).
% 9.29/2.00 thf(zip_derived_cl140, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ (ld @ X1 @ (mult @ X1 @ (ld @ X0 @ X0))) @ X0)
% 9.29/2.00 = (mult @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl131])).
% 9.29/2.00 thf(zip_derived_cl1491, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ (mult @ (ld @ X0 @ X0) @ X0)))
% 9.29/2.00 = (mult @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl1434, zip_derived_cl140])).
% 9.29/2.00 thf(zip_derived_cl21, plain,
% 9.29/2.00 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl19])).
% 9.29/2.00 thf(zip_derived_cl1555, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl1491, zip_derived_cl21])).
% 9.29/2.00 thf(zip_derived_cl2728, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))
% 9.29/2.00 = (ld @ X1 @ (mult @ X1 @ X0)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl1442, zip_derived_cl1555])).
% 9.29/2.00 thf(zip_derived_cl2748, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ (mult @ X1 @ (mult @ X1 @ X0))) @
% 9.29/2.00 (mult @ (mult @ X1 @ X0) @ X2)) = (ld @ X1 @ (mult @ X1 @ X2)))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl1495, zip_derived_cl2728])).
% 9.29/2.00 thf(zip_derived_cl1495, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1434])).
% 9.29/2.00 thf(zip_derived_cl2767, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ (mult @ X1 @ X0) @ (mult @ (mult @ X1 @ X0) @ X2))
% 9.29/2.00 = (ld @ X1 @ (mult @ X1 @ X2)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2748, zip_derived_cl1495])).
% 9.29/2.00 thf(zip_derived_cl1555, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl1491, zip_derived_cl21])).
% 9.29/2.00 thf(zip_derived_cl2728, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))
% 9.29/2.00 = (ld @ X1 @ (mult @ X1 @ X0)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl1442, zip_derived_cl1555])).
% 9.29/2.00 thf(zip_derived_cl0, plain,
% 9.29/2.00 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 9.29/2.00 inference('cnf', [status(esa)], [c01])).
% 9.29/2.00 thf(zip_derived_cl2732, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ (ld @ X1 @ X0))) = (ld @ X1 @ X0))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl2728, zip_derived_cl0])).
% 9.29/2.00 thf(zip_derived_cl2, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 9.29/2.00 inference('cnf', [status(esa)], [c03])).
% 9.29/2.00 thf(zip_derived_cl2785, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (ld @ X1 @ (mult @ X1 @ X0))) = (ld @ X1 @ X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl2732, zip_derived_cl2])).
% 9.29/2.00 thf(zip_derived_cl2801, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X1) @
% 9.29/2.00 (ld @ (ld @ X1 @ X1) @ (ld @ X1 @ (mult @ X1 @ X0))))
% 9.29/2.00 = (ld @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl1555, zip_derived_cl2785])).
% 9.29/2.00 thf(zip_derived_cl21, plain,
% 9.29/2.00 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl19])).
% 9.29/2.00 thf(zip_derived_cl689, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1))))
% 9.29/2.00 = (rd @ (mult @ X0 @ X1) @ X1))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl603])).
% 9.29/2.00 thf(zip_derived_cl716, plain,
% 9.29/2.00 (![X0 : $i]:
% 9.29/2.00 ((ld @ (ld @ X0 @ X0) @
% 9.29/2.00 (mult @ (ld @ X0 @ X0) @ (mult @ (ld @ X0 @ X0) @ (ld @ X0 @ X0))))
% 9.29/2.00 = (rd @ X0 @ X0))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl689])).
% 9.29/2.00 thf(zip_derived_cl0, plain,
% 9.29/2.00 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 9.29/2.00 inference('cnf', [status(esa)], [c01])).
% 9.29/2.00 thf(zip_derived_cl2, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 9.29/2.00 inference('cnf', [status(esa)], [c03])).
% 9.29/2.00 thf(zip_derived_cl8, plain,
% 9.29/2.00 (![X0 : $i]:
% 9.29/2.00 ((mult @ X0 @ X0) = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X0))))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 9.29/2.00 thf(zip_derived_cl19, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl18, zip_derived_cl2, zip_derived_cl0])).
% 9.29/2.00 thf(zip_derived_cl723, plain,
% 9.29/2.00 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)) = (ld @ X0 @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl716, zip_derived_cl8, zip_derived_cl19])).
% 9.29/2.00 thf(zip_derived_cl0, plain,
% 9.29/2.00 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 9.29/2.00 inference('cnf', [status(esa)], [c01])).
% 9.29/2.00 thf(zip_derived_cl728, plain,
% 9.29/2.00 (![X0 : $i]: ((ld @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)) = (ld @ X0 @ X0))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl0])).
% 9.29/2.00 thf(zip_derived_cl1555, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl1491, zip_derived_cl21])).
% 9.29/2.00 thf(zip_derived_cl1594, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ (ld @ X0 @ X0) @ (mult @ (ld @ X0 @ X0) @ X1))
% 9.29/2.00 = (mult @ (ld @ X0 @ X0) @ X1))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl728, zip_derived_cl1555])).
% 9.29/2.00 thf(zip_derived_cl1555, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl1491, zip_derived_cl21])).
% 9.29/2.00 thf(zip_derived_cl1555, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl1491, zip_derived_cl21])).
% 9.29/2.00 thf(zip_derived_cl1595, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ (ld @ X0 @ X0) @ (ld @ X0 @ (mult @ X0 @ X1)))
% 9.29/2.00 = (ld @ X0 @ (mult @ X0 @ X1)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl1594, zip_derived_cl1555, zip_derived_cl1555])).
% 9.29/2.00 thf(zip_derived_cl1595, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ (ld @ X0 @ X0) @ (ld @ X0 @ (mult @ X0 @ X1)))
% 9.29/2.00 = (ld @ X0 @ (mult @ X0 @ X1)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl1594, zip_derived_cl1555, zip_derived_cl1555])).
% 9.29/2.00 thf(zip_derived_cl2821, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2801, zip_derived_cl1595, zip_derived_cl1595])).
% 9.29/2.00 thf(zip_derived_cl4090, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ (mult @ X1 @ X0) @ (mult @ (mult @ X1 @ X0) @ X2))
% 9.29/2.00 = (ld @ (ld @ X1 @ X1) @ X2))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2767, zip_derived_cl2821])).
% 9.29/2.00 thf(zip_derived_cl4106, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ (mult @ X1 @ X0) @ (mult @ X1 @ X0))
% 9.29/2.00 = (ld @ (ld @ X1 @ X1) @ (ld @ X0 @ X0)))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl1920, zip_derived_cl4090])).
% 9.29/2.00 thf(zip_derived_cl4225, plain,
% 9.29/2.00 (((mult @ a @ (ld @ (ld @ b @ b) @ (ld @ c @ c)))
% 9.29/2.00 != (mult @ a @ (ld @ c @ c)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl1634, zip_derived_cl4106])).
% 9.29/2.00 thf(zip_derived_cl4090, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ (mult @ X1 @ X0) @ (mult @ (mult @ X1 @ X0) @ X2))
% 9.29/2.00 = (ld @ (ld @ X1 @ X1) @ X2))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2767, zip_derived_cl2821])).
% 9.29/2.00 thf(zip_derived_cl2821, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2801, zip_derived_cl1595, zip_derived_cl1595])).
% 9.29/2.00 thf(zip_derived_cl4095, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X1) @ X0)
% 9.29/2.00 = (ld @ (ld @ (mult @ X1 @ X2) @ (mult @ X1 @ X2)) @ X0))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl4090, zip_derived_cl2821])).
% 9.29/2.00 thf(zip_derived_cl4106, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ (mult @ X1 @ X0) @ (mult @ X1 @ X0))
% 9.29/2.00 = (ld @ (ld @ X1 @ X1) @ (ld @ X0 @ X0)))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl1920, zip_derived_cl4090])).
% 9.29/2.00 thf(zip_derived_cl5583, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X1) @ X0)
% 9.29/2.00 = (ld @ (ld @ (ld @ X1 @ X1) @ (ld @ X2 @ X2)) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl4095, zip_derived_cl4106])).
% 9.29/2.00 thf(zip_derived_cl1555, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl1491, zip_derived_cl21])).
% 9.29/2.00 thf(zip_derived_cl2821, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2801, zip_derived_cl1595, zip_derived_cl1595])).
% 9.29/2.00 thf(zip_derived_cl2830, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X1) @ X0) = (mult @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl1555, zip_derived_cl2821])).
% 9.29/2.00 thf(zip_derived_cl5586, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @
% 9.29/2.00 (ld @ (ld @ (ld @ X1 @ X1) @ (ld @ X0 @ X0)) @
% 9.29/2.00 (ld @ (ld @ X1 @ X1) @ (ld @ X0 @ X0))) @
% 9.29/2.00 X2)
% 9.29/2.00 = (mult @
% 9.29/2.00 (ld @ (ld @ X1 @ X1) @ (ld @ (ld @ X1 @ X1) @ (ld @ X0 @ X0))) @
% 9.29/2.00 X2))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl5583, zip_derived_cl2830])).
% 9.29/2.00 thf(zip_derived_cl5583, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X1) @ X0)
% 9.29/2.00 = (ld @ (ld @ (ld @ X1 @ X1) @ (ld @ X2 @ X2)) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl4095, zip_derived_cl4106])).
% 9.29/2.00 thf(zip_derived_cl1555, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl1491, zip_derived_cl21])).
% 9.29/2.00 thf(zip_derived_cl2, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 9.29/2.00 inference('cnf', [status(esa)], [c03])).
% 9.29/2.00 thf(zip_derived_cl1565, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ (ld @ (ld @ X1 @ X1) @ X0)))
% 9.29/2.00 = (ld @ (ld @ X1 @ X1) @ (mult @ (ld @ X1 @ X1) @ X0)))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl1555, zip_derived_cl2])).
% 9.29/2.00 thf(zip_derived_cl1555, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl1491, zip_derived_cl21])).
% 9.29/2.00 thf(zip_derived_cl1604, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ (ld @ (ld @ X1 @ X1) @ X0)))
% 9.29/2.00 = (ld @ (ld @ X1 @ X1) @ (ld @ X1 @ (mult @ X1 @ X0))))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl1565, zip_derived_cl1555])).
% 9.29/2.00 thf(zip_derived_cl2821, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2801, zip_derived_cl1595, zip_derived_cl1595])).
% 9.29/2.00 thf(zip_derived_cl2, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 9.29/2.00 inference('cnf', [status(esa)], [c03])).
% 9.29/2.00 thf(zip_derived_cl2821, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2801, zip_derived_cl1595, zip_derived_cl1595])).
% 9.29/2.00 thf(zip_derived_cl2826, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ (ld @ X0 @ X0) @ X1))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl2821])).
% 9.29/2.00 thf(zip_derived_cl2874, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ X1 @ (ld @ (ld @ X1 @ X1) @ X0))
% 9.29/2.00 = (ld @ (ld @ X1 @ X1) @ (mult @ X1 @ X0)))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl2821, zip_derived_cl2826])).
% 9.29/2.00 thf(zip_derived_cl1495, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1434])).
% 9.29/2.00 thf(zip_derived_cl1595, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ (ld @ X0 @ X0) @ (ld @ X0 @ (mult @ X0 @ X1)))
% 9.29/2.00 = (ld @ X0 @ (mult @ X0 @ X1)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl1594, zip_derived_cl1555, zip_derived_cl1555])).
% 9.29/2.00 thf(zip_derived_cl2129, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X1) @ (mult @ X1 @ X0))
% 9.29/2.00 = (ld @ X1 @ (mult @ X1 @ (mult @ X1 @ X0))))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl1495, zip_derived_cl1595])).
% 9.29/2.00 thf(zip_derived_cl1495, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1434])).
% 9.29/2.00 thf(zip_derived_cl2149, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X1) @ (mult @ X1 @ X0)) = (mult @ X1 @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2129, zip_derived_cl1495])).
% 9.29/2.00 thf(zip_derived_cl2880, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ X1 @ (ld @ (ld @ X1 @ X1) @ X0)) = (mult @ X1 @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2874, zip_derived_cl2149])).
% 9.29/2.00 thf(zip_derived_cl2821, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2801, zip_derived_cl1595, zip_derived_cl1595])).
% 9.29/2.00 thf(zip_derived_cl2821, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2801, zip_derived_cl1595, zip_derived_cl1595])).
% 9.29/2.00 thf(zip_derived_cl3304, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X1) @ X0)
% 9.29/2.00 = (ld @ (ld @ X1 @ X1) @ (ld @ (ld @ X1 @ X1) @ X0)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl1604, zip_derived_cl2880, zip_derived_cl2821,
% 9.29/2.00 zip_derived_cl2821])).
% 9.29/2.00 thf(zip_derived_cl5583, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X1) @ X0)
% 9.29/2.00 = (ld @ (ld @ (ld @ X1 @ X1) @ (ld @ X2 @ X2)) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl4095, zip_derived_cl4106])).
% 9.29/2.00 thf(zip_derived_cl3304, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X1) @ X0)
% 9.29/2.00 = (ld @ (ld @ X1 @ X1) @ (ld @ (ld @ X1 @ X1) @ X0)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl1604, zip_derived_cl2880, zip_derived_cl2821,
% 9.29/2.00 zip_derived_cl2821])).
% 9.29/2.00 thf(zip_derived_cl1434, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 9.29/2.00 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 9.29/2.00 inference('demod', [status(thm)], [zip_derived_cl1397, zip_derived_cl0])).
% 9.29/2.00 thf(zip_derived_cl2821, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2801, zip_derived_cl1595, zip_derived_cl1595])).
% 9.29/2.00 thf(zip_derived_cl2821, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2801, zip_derived_cl1595, zip_derived_cl1595])).
% 9.29/2.00 thf(zip_derived_cl2829, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ (ld @ X0 @ X0) @ (mult @ X2 @ X1))
% 9.29/2.00 = (mult @ (ld @ (ld @ X0 @ X0) @ X2) @ X1))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl1434, zip_derived_cl2821, zip_derived_cl2821])).
% 9.29/2.00 thf(zip_derived_cl2830, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X1) @ X0) = (mult @ (ld @ X1 @ X1) @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl1555, zip_derived_cl2821])).
% 9.29/2.00 thf(zip_derived_cl5696, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((ld @ (ld @ X1 @ X1) @ X2)
% 9.29/2.00 = (ld @ (ld @ X1 @ X1) @ (ld @ (ld @ X0 @ X0) @ X2)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl5586, zip_derived_cl5583, zip_derived_cl3304,
% 9.29/2.00 zip_derived_cl5583, zip_derived_cl3304, zip_derived_cl2829,
% 9.29/2.00 zip_derived_cl2830])).
% 9.29/2.00 thf(zip_derived_cl2880, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ X1 @ (ld @ (ld @ X1 @ X1) @ X0)) = (mult @ X1 @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2874, zip_derived_cl2149])).
% 9.29/2.00 thf(zip_derived_cl9064, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((mult @ X1 @ (ld @ (ld @ X1 @ X1) @ X0))
% 9.29/2.00 = (mult @ X1 @ (ld @ (ld @ X2 @ X2) @ X0)))),
% 9.29/2.00 inference('sup+', [status(thm)], [zip_derived_cl5696, zip_derived_cl2880])).
% 9.29/2.00 thf(zip_derived_cl2880, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i]:
% 9.29/2.00 ((mult @ X1 @ (ld @ (ld @ X1 @ X1) @ X0)) = (mult @ X1 @ X0))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl2874, zip_derived_cl2149])).
% 9.29/2.00 thf(zip_derived_cl9229, plain,
% 9.29/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.29/2.00 ((mult @ X1 @ X0) = (mult @ X1 @ (ld @ (ld @ X2 @ X2) @ X0)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl9064, zip_derived_cl2880])).
% 9.29/2.00 thf(zip_derived_cl9475, plain,
% 9.29/2.00 (((mult @ a @ (ld @ c @ c)) != (mult @ a @ (ld @ c @ c)))),
% 9.29/2.00 inference('demod', [status(thm)],
% 9.29/2.00 [zip_derived_cl4225, zip_derived_cl9229])).
% 9.29/2.00 thf(zip_derived_cl9476, plain, ($false),
% 9.29/2.00 inference('simplify', [status(thm)], [zip_derived_cl9475])).
% 9.29/2.00
% 9.29/2.00 % SZS output end Refutation
% 9.29/2.00
% 9.29/2.00
% 9.29/2.00 % Terminating...
% 9.94/2.06 % Runner terminated.
% 9.94/2.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------