%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP683-11 : TPTP v9.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sefKcJjQY9 true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:37:04 PM UTC 2025
% Result : Unsatisfiable 20.93s 6.10s
% Output : Refutation 20.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.33 % Problem : GRP683-11 : TPTP v9.2.0. Released v8.1.0.
% 0.09/0.34 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sefKcJjQY9 true
% 0.14/0.61 % Computer : n018.cluster.edu
% 0.14/0.61 % Model : x86_64 x86_64
% 0.14/0.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.61 % Memory : 8042.1875MB
% 0.14/0.61 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.61 % CPULimit : 300
% 0.14/0.61 % WCLimit : 300
% 0.14/0.61 % DateTime : Wed Oct 1 14:24:08 EDT 2025
% 0.14/0.62 % CPUTime :
% 0.14/0.62 % Running portfolio for 300 s
% 0.14/0.62 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.62 % Number of cores: 8
% 0.16/0.63 % Python version: Python 3.6.8
% 0.16/0.63 % Running in FO mode
% 0.16/0.94 % Total configuration time : 435
% 0.16/0.94 % Estimated wc time : 1092
% 0.16/0.94 % Estimated cpu time (7 cpus) : 156.0
% 0.16/1.03 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.96/1.13 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.17/1.17 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.17/1.17 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.19/1.23 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.19/1.24 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.20/1.26 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 20.93/6.10 % Solved by fo/fo7.sh.
% 20.93/6.10 % done 878 iterations in 4.791s
% 20.93/6.10 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 20.93/6.10 % SZS output start Refutation
% 20.93/6.10 thf(rd_type, type, rd: $i > $i > $i).
% 20.93/6.10 thf(x4_type, type, x4: $i).
% 20.93/6.10 thf(mult_type, type, mult: $i > $i > $i).
% 20.93/6.10 thf(x3_type, type, x3: $i).
% 20.93/6.10 thf(ld_type, type, ld: $i > $i > $i).
% 20.93/6.10 thf(x5_type, type, x5: $i).
% 20.93/6.10 thf(f01, axiom, (( ld @ A @ ( mult @ A @ A ) ) = ( A ))).
% 20.93/6.10 thf(zip_derived_cl0, plain,
% 20.93/6.10 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 20.93/6.10 inference('cnf', [status(esa)], [f01])).
% 20.93/6.10 thf(zip_derived_cl0, plain,
% 20.93/6.10 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 20.93/6.10 inference('cnf', [status(esa)], [f01])).
% 20.93/6.10 thf(f05, axiom,
% 20.93/6.10 (( ld @ ( ld @ A @ B ) @ ( mult @ ( ld @ A @ B ) @ ( mult @ C @ D ) ) ) =
% 20.93/6.10 ( mult @ ( ld @ A @ ( mult @ A @ C ) ) @ D ))).
% 20.93/6.10 thf(zip_derived_cl4, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.93/6.10 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 20.93/6.10 = (mult @ (ld @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 20.93/6.10 inference('cnf', [status(esa)], [f05])).
% 20.93/6.10 thf(zip_derived_cl1398, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X0 @ (mult @ X0 @ X0)) @ (mult @ X0 @ (mult @ X2 @ X1)))
% 20.93/6.10 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 20.93/6.10 thf(zip_derived_cl0, plain,
% 20.93/6.10 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 20.93/6.10 inference('cnf', [status(esa)], [f01])).
% 20.93/6.10 thf(zip_derived_cl1435, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 20.93/6.10 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl1398, zip_derived_cl0])).
% 20.93/6.10 thf(zip_derived_cl1518, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1435])).
% 20.93/6.10 thf(zip_derived_cl1518, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1435])).
% 20.93/6.10 thf(zip_derived_cl4, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.93/6.10 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 20.93/6.10 = (mult @ (ld @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 20.93/6.10 inference('cnf', [status(esa)], [f05])).
% 20.93/6.10 thf(goal, conjecture,
% 20.93/6.10 (( mult @ ( rd @ ( mult @ x3 @ x4 ) @ x4 ) @ x5 ) = ( mult @ x3 @ x5 ))).
% 20.93/6.10 thf(zf_stmt_0, negated_conjecture,
% 20.93/6.10 (( mult @ ( rd @ ( mult @ x3 @ x4 ) @ x4 ) @ x5 ) != ( mult @ x3 @ x5 )),
% 20.93/6.10 inference('cnf.neg', [status(esa)], [goal])).
% 20.93/6.10 thf(zip_derived_cl7, plain,
% 20.93/6.10 (((mult @ (rd @ (mult @ x3 @ x4) @ x4) @ x5) != (mult @ x3 @ x5))),
% 20.93/6.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 20.93/6.10 thf(f04, axiom,
% 20.93/6.10 (( mult @ ( rd @ A @ B ) @ B ) = ( rd @ ( mult @ A @ B ) @ B ))).
% 20.93/6.10 thf(zip_derived_cl3, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.93/6.10 inference('cnf', [status(esa)], [f04])).
% 20.93/6.10 thf(zip_derived_cl9, plain,
% 20.93/6.10 (((mult @ (mult @ (rd @ x3 @ x4) @ x4) @ x5) != (mult @ x3 @ x5))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 20.93/6.10 thf(zip_derived_cl0, plain,
% 20.93/6.10 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 20.93/6.10 inference('cnf', [status(esa)], [f01])).
% 20.93/6.10 thf(f03, axiom,
% 20.93/6.10 (( mult @ A @ ( ld @ A @ B ) ) = ( ld @ A @ ( mult @ A @ B ) ))).
% 20.93/6.10 thf(zip_derived_cl2, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.93/6.10 inference('cnf', [status(esa)], [f03])).
% 20.93/6.10 thf(f02, axiom, (( rd @ ( mult @ A @ A ) @ A ) = ( A ))).
% 20.93/6.10 thf(zip_derived_cl1, plain,
% 20.93/6.10 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 20.93/6.10 inference('cnf', [status(esa)], [f02])).
% 20.93/6.10 thf(f06, axiom,
% 20.93/6.10 (( rd @ ( mult @ ( mult @ A @ B ) @ ( rd @ C @ D ) ) @ ( rd @ C @ D ) ) =
% 20.93/6.10 ( mult @ A @ ( rd @ ( mult @ B @ D ) @ D ) ))).
% 20.93/6.10 thf(zip_derived_cl5, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.93/6.10 ((rd @ (mult @ (mult @ X0 @ X1) @ (rd @ X3 @ X2)) @ (rd @ X3 @ X2))
% 20.93/6.10 = (mult @ X0 @ (rd @ (mult @ X1 @ X2) @ X2)))),
% 20.93/6.10 inference('cnf', [status(esa)], [f06])).
% 20.93/6.10 thf(zip_derived_cl3, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.93/6.10 inference('cnf', [status(esa)], [f04])).
% 20.93/6.10 thf(zip_derived_cl76, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.93/6.10 ((rd @ (mult @ (mult @ X0 @ X1) @ (rd @ X3 @ X2)) @ (rd @ X3 @ X2))
% 20.93/6.10 = (mult @ X0 @ (mult @ (rd @ X1 @ X2) @ X2)))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 20.93/6.10 thf(zip_derived_cl82, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((rd @ (mult @ (mult @ X2 @ X1) @ (rd @ (mult @ X0 @ X0) @ X0)) @ X0)
% 20.93/6.10 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl76])).
% 20.93/6.10 thf(zip_derived_cl1, plain,
% 20.93/6.10 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 20.93/6.10 inference('cnf', [status(esa)], [f02])).
% 20.93/6.10 thf(zip_derived_cl3, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.93/6.10 inference('cnf', [status(esa)], [f04])).
% 20.93/6.10 thf(zip_derived_cl100, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 20.93/6.10 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl82, zip_derived_cl1, zip_derived_cl3])).
% 20.93/6.10 thf(zip_derived_cl120, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((mult @ (rd @ (ld @ X1 @ (mult @ X1 @ X0)) @ X2) @ X2)
% 20.93/6.10 = (mult @ X1 @ (mult @ (rd @ (ld @ X1 @ X0) @ X2) @ X2)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl100])).
% 20.93/6.10 thf(zip_derived_cl581, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1)
% 20.93/6.10 = (mult @ X0 @ (mult @ (rd @ (ld @ X0 @ X0) @ X1) @ X1)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 20.93/6.10 thf(f07, axiom,
% 20.93/6.10 (( ld @ A @ ( mult @ A @ ( ld @ B @ B ) ) ) =
% 20.93/6.10 ( rd @ ( mult @ ( rd @ A @ A ) @ B ) @ B ))).
% 20.93/6.10 thf(zip_derived_cl6, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 20.93/6.10 = (rd @ (mult @ (rd @ X0 @ X0) @ X1) @ X1))),
% 20.93/6.10 inference('cnf', [status(esa)], [f07])).
% 20.93/6.10 thf(zip_derived_cl3, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.93/6.10 inference('cnf', [status(esa)], [f04])).
% 20.93/6.10 thf(zip_derived_cl1, plain,
% 20.93/6.10 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 20.93/6.10 inference('cnf', [status(esa)], [f02])).
% 20.93/6.10 thf(zip_derived_cl10, plain,
% 20.93/6.10 (![X0 : $i]: ((mult @ (rd @ X0 @ X0) @ X0) = (X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 20.93/6.10 thf(zip_derived_cl6, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 20.93/6.10 = (rd @ (mult @ (rd @ X0 @ X0) @ X1) @ X1))),
% 20.93/6.10 inference('cnf', [status(esa)], [f07])).
% 20.93/6.10 thf(zip_derived_cl18, plain,
% 20.93/6.10 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ (ld @ X0 @ X0))) = (rd @ X0 @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl6])).
% 20.93/6.10 thf(zip_derived_cl2, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.93/6.10 inference('cnf', [status(esa)], [f03])).
% 20.93/6.10 thf(zip_derived_cl0, plain,
% 20.93/6.10 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 20.93/6.10 inference('cnf', [status(esa)], [f01])).
% 20.93/6.10 thf(zip_derived_cl19, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl18, zip_derived_cl2, zip_derived_cl0])).
% 20.93/6.10 thf(zip_derived_cl3, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.93/6.10 inference('cnf', [status(esa)], [f04])).
% 20.93/6.10 thf(zip_derived_cl20, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 20.93/6.10 = (mult @ (rd @ (ld @ X0 @ X0) @ X1) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl6, zip_derived_cl19, zip_derived_cl3])).
% 20.93/6.10 thf(zip_derived_cl2, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.93/6.10 inference('cnf', [status(esa)], [f03])).
% 20.93/6.10 thf(zip_derived_cl603, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1)
% 20.93/6.10 = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl581, zip_derived_cl20, zip_derived_cl2])).
% 20.93/6.10 thf(zip_derived_cl690, plain,
% 20.93/6.10 (((mult @ (ld @ x3 @ (mult @ x3 @ (mult @ x3 @ (ld @ x4 @ x4)))) @ x5)
% 20.93/6.10 != (mult @ x3 @ x5))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl603])).
% 20.93/6.10 thf(zip_derived_cl1373, plain,
% 20.93/6.10 (![X0 : $i]:
% 20.93/6.10 ((ld @ (ld @ x3 @ X0) @
% 20.93/6.10 (mult @ (ld @ x3 @ X0) @ (mult @ (mult @ x3 @ (ld @ x4 @ x4)) @ x5)))
% 20.93/6.10 != (mult @ x3 @ x5))),
% 20.93/6.10 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl690])).
% 20.93/6.10 thf(zip_derived_cl1670, plain,
% 20.93/6.10 (![X0 : $i]:
% 20.93/6.10 ((ld @ (ld @ x3 @ (mult @ x3 @ (mult @ x3 @ X0))) @
% 20.93/6.10 (mult @ (mult @ x3 @ X0) @
% 20.93/6.10 (mult @ (mult @ x3 @ (ld @ x4 @ x4)) @ x5)))
% 20.93/6.10 != (mult @ x3 @ x5))),
% 20.93/6.10 inference('sup-', [status(thm)], [zip_derived_cl1518, zip_derived_cl1373])).
% 20.93/6.10 thf(zip_derived_cl1518, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1435])).
% 20.93/6.10 thf(zip_derived_cl1694, plain,
% 20.93/6.10 (![X0 : $i]:
% 20.93/6.10 ((ld @ (mult @ x3 @ X0) @
% 20.93/6.10 (mult @ (mult @ x3 @ X0) @
% 20.93/6.10 (mult @ (mult @ x3 @ (ld @ x4 @ x4)) @ x5)))
% 20.93/6.10 != (mult @ x3 @ x5))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1670, zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl1696, plain,
% 20.93/6.10 (((mult @ (mult @ x3 @ (ld @ x4 @ x4)) @ x5) != (mult @ x3 @ x5))),
% 20.93/6.10 inference('sup-', [status(thm)], [zip_derived_cl1518, zip_derived_cl1694])).
% 20.93/6.10 thf(zip_derived_cl603, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1)
% 20.93/6.10 = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl581, zip_derived_cl20, zip_derived_cl2])).
% 20.93/6.10 thf(zip_derived_cl1518, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1435])).
% 20.93/6.10 thf(zip_derived_cl1656, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (ld @ X1 @ X1)))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl603, zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl1518, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1435])).
% 20.93/6.10 thf(zip_derived_cl20, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 20.93/6.10 = (mult @ (rd @ (ld @ X0 @ X0) @ X1) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl6, zip_derived_cl19, zip_derived_cl3])).
% 20.93/6.10 thf(zip_derived_cl3, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.93/6.10 inference('cnf', [status(esa)], [f04])).
% 20.93/6.10 thf(zip_derived_cl100, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 20.93/6.10 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl82, zip_derived_cl1, zip_derived_cl3])).
% 20.93/6.10 thf(zip_derived_cl118, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (mult @ (rd @ X1 @ X0) @ X0) @ X0)
% 20.93/6.10 = (mult @ X1 @ (mult @ (rd @ X0 @ X0) @ X0)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl100])).
% 20.93/6.10 thf(zip_derived_cl19, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl18, zip_derived_cl2, zip_derived_cl0])).
% 20.93/6.10 thf(zip_derived_cl10, plain,
% 20.93/6.10 (![X0 : $i]: ((mult @ (rd @ X0 @ X0) @ X0) = (X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 20.93/6.10 thf(zip_derived_cl19, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl18, zip_derived_cl2, zip_derived_cl0])).
% 20.93/6.10 thf(zip_derived_cl21, plain,
% 20.93/6.10 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl19])).
% 20.93/6.10 thf(zip_derived_cl131, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (mult @ (rd @ X1 @ X0) @ X0) @ X0) = (mult @ X1 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl118, zip_derived_cl19, zip_derived_cl21])).
% 20.93/6.10 thf(zip_derived_cl140, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (ld @ X1 @ (mult @ X1 @ (ld @ X0 @ X0))) @ X0)
% 20.93/6.10 = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl131])).
% 20.93/6.10 thf(zip_derived_cl4, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.93/6.10 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 20.93/6.10 = (mult @ (ld @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 20.93/6.10 inference('cnf', [status(esa)], [f05])).
% 20.93/6.10 thf(zip_derived_cl1409, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X2) @
% 20.93/6.10 (mult @ (ld @ X1 @ X2) @ (mult @ (ld @ X0 @ X0) @ X0)))
% 20.93/6.10 = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl4])).
% 20.93/6.10 thf(zip_derived_cl21, plain,
% 20.93/6.10 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl19])).
% 20.93/6.10 thf(zip_derived_cl1443, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))
% 20.93/6.10 = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl1409, zip_derived_cl21])).
% 20.93/6.10 thf(zip_derived_cl1435, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 20.93/6.10 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl1398, zip_derived_cl0])).
% 20.93/6.10 thf(zip_derived_cl140, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (ld @ X1 @ (mult @ X1 @ (ld @ X0 @ X0))) @ X0)
% 20.93/6.10 = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl131])).
% 20.93/6.10 thf(zip_derived_cl1513, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ (mult @ (ld @ X0 @ X0) @ X0)))
% 20.93/6.10 = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl1435, zip_derived_cl140])).
% 20.93/6.10 thf(zip_derived_cl21, plain,
% 20.93/6.10 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl19])).
% 20.93/6.10 thf(zip_derived_cl1578, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl1513, zip_derived_cl21])).
% 20.93/6.10 thf(zip_derived_cl7333, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))
% 20.93/6.10 = (ld @ X1 @ (mult @ X1 @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1443, zip_derived_cl1578])).
% 20.93/6.10 thf(zip_derived_cl7385, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ (mult @ X1 @ (mult @ X1 @ X0))) @
% 20.93/6.10 (mult @ (mult @ X1 @ X0) @ X2)) = (ld @ X1 @ (mult @ X1 @ X2)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl1518, zip_derived_cl7333])).
% 20.93/6.10 thf(zip_derived_cl1518, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1435])).
% 20.93/6.10 thf(zip_derived_cl7431, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (mult @ X1 @ X0) @ (mult @ (mult @ X1 @ X0) @ X2))
% 20.93/6.10 = (ld @ X1 @ (mult @ X1 @ X2)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7385, zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl1578, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl1513, zip_derived_cl21])).
% 20.93/6.10 thf(zip_derived_cl7333, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))
% 20.93/6.10 = (ld @ X1 @ (mult @ X1 @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1443, zip_derived_cl1578])).
% 20.93/6.10 thf(zip_derived_cl0, plain,
% 20.93/6.10 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 20.93/6.10 inference('cnf', [status(esa)], [f01])).
% 20.93/6.10 thf(zip_derived_cl7341, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ (ld @ X1 @ X0))) = (ld @ X1 @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl7333, zip_derived_cl0])).
% 20.93/6.10 thf(zip_derived_cl2, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.93/6.10 inference('cnf', [status(esa)], [f03])).
% 20.93/6.10 thf(zip_derived_cl7469, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (ld @ X1 @ (mult @ X1 @ X0))) = (ld @ X1 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl7341, zip_derived_cl2])).
% 20.93/6.10 thf(zip_derived_cl7512, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X1) @
% 20.93/6.10 (ld @ (ld @ X1 @ X1) @ (ld @ X1 @ (mult @ X1 @ X0))))
% 20.93/6.10 = (ld @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl1578, zip_derived_cl7469])).
% 20.93/6.10 thf(zip_derived_cl21, plain,
% 20.93/6.10 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl19])).
% 20.93/6.10 thf(zip_derived_cl3, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.93/6.10 inference('cnf', [status(esa)], [f04])).
% 20.93/6.10 thf(zip_derived_cl603, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1)
% 20.93/6.10 = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl581, zip_derived_cl20, zip_derived_cl2])).
% 20.93/6.10 thf(zip_derived_cl689, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1))))
% 20.93/6.10 = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl603])).
% 20.93/6.10 thf(zip_derived_cl716, plain,
% 20.93/6.10 (![X0 : $i]:
% 20.93/6.10 ((ld @ (ld @ X0 @ X0) @
% 20.93/6.10 (mult @ (ld @ X0 @ X0) @ (mult @ (ld @ X0 @ X0) @ (ld @ X0 @ X0))))
% 20.93/6.10 = (rd @ X0 @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl689])).
% 20.93/6.10 thf(zip_derived_cl0, plain,
% 20.93/6.10 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 20.93/6.10 inference('cnf', [status(esa)], [f01])).
% 20.93/6.10 thf(zip_derived_cl2, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.93/6.10 inference('cnf', [status(esa)], [f03])).
% 20.93/6.10 thf(zip_derived_cl8, plain,
% 20.93/6.10 (![X0 : $i]:
% 20.93/6.10 ((mult @ X0 @ X0) = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X0))))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 20.93/6.10 thf(zip_derived_cl19, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl18, zip_derived_cl2, zip_derived_cl0])).
% 20.93/6.10 thf(zip_derived_cl723, plain,
% 20.93/6.10 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)) = (ld @ X0 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl716, zip_derived_cl8, zip_derived_cl19])).
% 20.93/6.10 thf(zip_derived_cl0, plain,
% 20.93/6.10 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 20.93/6.10 inference('cnf', [status(esa)], [f01])).
% 20.93/6.10 thf(zip_derived_cl728, plain,
% 20.93/6.10 (![X0 : $i]: ((ld @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)) = (ld @ X0 @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl0])).
% 20.93/6.10 thf(zip_derived_cl1578, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl1513, zip_derived_cl21])).
% 20.93/6.10 thf(zip_derived_cl1618, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ (ld @ X0 @ X0) @ (mult @ (ld @ X0 @ X0) @ X1))
% 20.93/6.10 = (mult @ (ld @ X0 @ X0) @ X1))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl728, zip_derived_cl1578])).
% 20.93/6.10 thf(zip_derived_cl1578, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl1513, zip_derived_cl21])).
% 20.93/6.10 thf(zip_derived_cl1578, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl1513, zip_derived_cl21])).
% 20.93/6.10 thf(zip_derived_cl1619, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ (ld @ X0 @ X0) @ (ld @ X0 @ (mult @ X0 @ X1)))
% 20.93/6.10 = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1618, zip_derived_cl1578, zip_derived_cl1578])).
% 20.93/6.10 thf(zip_derived_cl1619, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ (ld @ X0 @ X0) @ (ld @ X0 @ (mult @ X0 @ X1)))
% 20.93/6.10 = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1618, zip_derived_cl1578, zip_derived_cl1578])).
% 20.93/6.10 thf(zip_derived_cl7553, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7512, zip_derived_cl1619, zip_derived_cl1619])).
% 20.93/6.10 thf(zip_derived_cl8623, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (mult @ X1 @ X0) @ (mult @ (mult @ X1 @ X0) @ X2))
% 20.93/6.10 = (ld @ (ld @ X1 @ X1) @ X2))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7431, zip_derived_cl7553])).
% 20.93/6.10 thf(zip_derived_cl8668, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (mult @ (rd @ X1 @ X0) @ X0) @
% 20.93/6.10 (mult @ (mult @ X1 @ (ld @ X0 @ X0)) @ X2))
% 20.93/6.10 = (ld @ (ld @ (rd @ X1 @ X0) @ (rd @ X1 @ X0)) @ X2))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl1656, zip_derived_cl8623])).
% 20.93/6.10 thf(zip_derived_cl1656, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (ld @ X1 @ X1)))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl603, zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl8623, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (mult @ X1 @ X0) @ (mult @ (mult @ X1 @ X0) @ X2))
% 20.93/6.10 = (ld @ (ld @ X1 @ X1) @ X2))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7431, zip_derived_cl7553])).
% 20.93/6.10 thf(zip_derived_cl8739, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X1) @ X2)
% 20.93/6.10 = (ld @ (ld @ (rd @ X1 @ X0) @ (rd @ X1 @ X0)) @ X2))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl8668, zip_derived_cl1656, zip_derived_cl8623])).
% 20.93/6.10 thf(zip_derived_cl21, plain,
% 20.93/6.10 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl19])).
% 20.93/6.10 thf(zip_derived_cl11755, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @
% 20.93/6.10 (ld @ (ld @ X1 @ X1) @ (ld @ (rd @ X1 @ X0) @ (rd @ X1 @ X0))) @
% 20.93/6.10 (ld @ (rd @ X1 @ X0) @ (rd @ X1 @ X0)))
% 20.93/6.10 = (ld @ (rd @ X1 @ X0) @ (rd @ X1 @ X0)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl8739, zip_derived_cl21])).
% 20.93/6.10 thf(zip_derived_cl21, plain,
% 20.93/6.10 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl19])).
% 20.93/6.10 thf(zip_derived_cl76, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.93/6.10 ((rd @ (mult @ (mult @ X0 @ X1) @ (rd @ X3 @ X2)) @ (rd @ X3 @ X2))
% 20.93/6.10 = (mult @ X0 @ (mult @ (rd @ X1 @ X2) @ X2)))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 20.93/6.10 thf(zip_derived_cl91, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((rd @ (mult @ X0 @ (rd @ X2 @ X1)) @ (rd @ X2 @ X1))
% 20.93/6.10 = (mult @ (ld @ X0 @ X0) @ (mult @ (rd @ X0 @ X1) @ X1)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl76])).
% 20.93/6.10 thf(zip_derived_cl21, plain,
% 20.93/6.10 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl19])).
% 20.93/6.10 thf(zip_derived_cl100, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 20.93/6.10 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl82, zip_derived_cl1, zip_derived_cl3])).
% 20.93/6.10 thf(zip_derived_cl121, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1)
% 20.93/6.10 = (mult @ (ld @ X0 @ X0) @ (mult @ (rd @ X0 @ X1) @ X1)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl100])).
% 20.93/6.10 thf(zip_derived_cl367, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((rd @ (mult @ X0 @ (rd @ X2 @ X1)) @ (rd @ X2 @ X1))
% 20.93/6.10 = (mult @ (rd @ X0 @ X1) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl121])).
% 20.93/6.10 thf(zip_derived_cl603, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1)
% 20.93/6.10 = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl581, zip_derived_cl20, zip_derived_cl2])).
% 20.93/6.10 thf(zip_derived_cl699, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((rd @ (mult @ X0 @ (rd @ X2 @ X1)) @ (rd @ X2 @ X1))
% 20.93/6.10 = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl603])).
% 20.93/6.10 thf(zip_derived_cl1518, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1435])).
% 20.93/6.10 thf(zip_derived_cl1660, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((rd @ (mult @ X0 @ (rd @ X2 @ X1)) @ (rd @ X2 @ X1))
% 20.93/6.10 = (mult @ X0 @ (ld @ X1 @ X1)))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl699, zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl689, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1))))
% 20.93/6.10 = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl603])).
% 20.93/6.10 thf(zip_derived_cl1518, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1435])).
% 20.93/6.10 thf(zip_derived_cl1657, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X0 @ (ld @ X1 @ X1)) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl689, zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl2298, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((mult @ X1 @ (ld @ (rd @ X2 @ X0) @ (rd @ X2 @ X0)))
% 20.93/6.10 = (mult @ X1 @ (ld @ X0 @ X0)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl1660, zip_derived_cl1657])).
% 20.93/6.10 thf(zip_derived_cl7469, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (ld @ X1 @ (mult @ X1 @ X0))) = (ld @ X1 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl7341, zip_derived_cl2])).
% 20.93/6.10 thf(zip_derived_cl7505, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ X1 @ (ld @ X1 @ (mult @ X1 @ (ld @ X0 @ X0))))
% 20.93/6.10 = (ld @ X1 @ (ld @ (rd @ X2 @ X0) @ (rd @ X2 @ X0))))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl2298, zip_derived_cl7469])).
% 20.93/6.10 thf(zip_derived_cl7469, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (ld @ X1 @ (mult @ X1 @ X0))) = (ld @ X1 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl7341, zip_derived_cl2])).
% 20.93/6.10 thf(zip_derived_cl7546, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ X1 @ (ld @ X0 @ X0))
% 20.93/6.10 = (ld @ X1 @ (ld @ (rd @ X2 @ X0) @ (rd @ X2 @ X0))))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7505, zip_derived_cl7469])).
% 20.93/6.10 thf(zip_derived_cl1435, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 20.93/6.10 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl1398, zip_derived_cl0])).
% 20.93/6.10 thf(zip_derived_cl7553, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7512, zip_derived_cl1619, zip_derived_cl1619])).
% 20.93/6.10 thf(zip_derived_cl7553, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7512, zip_derived_cl1619, zip_derived_cl1619])).
% 20.93/6.10 thf(zip_derived_cl7574, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X0 @ X0) @ (mult @ X2 @ X1))
% 20.93/6.10 = (mult @ (ld @ (ld @ X0 @ X0) @ X2) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1435, zip_derived_cl7553, zip_derived_cl7553])).
% 20.93/6.10 thf(zip_derived_cl1578, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl1513, zip_derived_cl21])).
% 20.93/6.10 thf(zip_derived_cl7553, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7512, zip_derived_cl1619, zip_derived_cl1619])).
% 20.93/6.10 thf(zip_derived_cl7576, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X1) @ X0) = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1578, zip_derived_cl7553])).
% 20.93/6.10 thf(zip_derived_cl7546, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ X1 @ (ld @ X0 @ X0))
% 20.93/6.10 = (ld @ X1 @ (ld @ (rd @ X2 @ X0) @ (rd @ X2 @ X0))))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7505, zip_derived_cl7469])).
% 20.93/6.10 thf(zip_derived_cl2, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.93/6.10 inference('cnf', [status(esa)], [f03])).
% 20.93/6.10 thf(zip_derived_cl7553, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7512, zip_derived_cl1619, zip_derived_cl1619])).
% 20.93/6.10 thf(zip_derived_cl7571, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ (ld @ X0 @ X0) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl7553])).
% 20.93/6.10 thf(zip_derived_cl7553, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7512, zip_derived_cl1619, zip_derived_cl1619])).
% 20.93/6.10 thf(zip_derived_cl7662, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (ld @ (ld @ X1 @ X1) @ X0))
% 20.93/6.10 = (ld @ (ld @ X1 @ X1) @ (ld @ X1 @ X0)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl7571, zip_derived_cl7553])).
% 20.93/6.10 thf(zip_derived_cl1578, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl1513, zip_derived_cl21])).
% 20.93/6.10 thf(zip_derived_cl2, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.93/6.10 inference('cnf', [status(esa)], [f03])).
% 20.93/6.10 thf(zip_derived_cl1588, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ (ld @ (ld @ X1 @ X1) @ X0)))
% 20.93/6.10 = (ld @ (ld @ X1 @ X1) @ (mult @ (ld @ X1 @ X1) @ X0)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl1578, zip_derived_cl2])).
% 20.93/6.10 thf(zip_derived_cl1578, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl1513, zip_derived_cl21])).
% 20.93/6.10 thf(zip_derived_cl1628, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ (ld @ (ld @ X1 @ X1) @ X0)))
% 20.93/6.10 = (ld @ (ld @ X1 @ X1) @ (ld @ X1 @ (mult @ X1 @ X0))))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1588, zip_derived_cl1578])).
% 20.93/6.10 thf(zip_derived_cl1619, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ (ld @ X0 @ X0) @ (ld @ X0 @ (mult @ X0 @ X1)))
% 20.93/6.10 = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1618, zip_derived_cl1578, zip_derived_cl1578])).
% 20.93/6.10 thf(zip_derived_cl4772, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ (ld @ (ld @ X1 @ X1) @ X0)))
% 20.93/6.10 = (ld @ X1 @ (mult @ X1 @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1628, zip_derived_cl1619])).
% 20.93/6.10 thf(zip_derived_cl2, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.93/6.10 inference('cnf', [status(esa)], [f03])).
% 20.93/6.10 thf(zip_derived_cl4773, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X1 @ (ld @ X1 @ (mult @ X1 @ X0)))
% 20.93/6.10 = (ld @ X1 @ (mult @ X1 @ (mult @ X1 @ (ld @ (ld @ X1 @ X1) @ X0)))))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl4772, zip_derived_cl2])).
% 20.93/6.10 thf(zip_derived_cl2, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.93/6.10 inference('cnf', [status(esa)], [f03])).
% 20.93/6.10 thf(zip_derived_cl1518, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1435])).
% 20.93/6.10 thf(zip_derived_cl1518, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1435])).
% 20.93/6.10 thf(zip_derived_cl4821, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X1 @ X0) = (mult @ X1 @ (ld @ (ld @ X1 @ X1) @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl4773, zip_derived_cl2, zip_derived_cl1518,
% 20.93/6.10 zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl7469, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (ld @ X1 @ (mult @ X1 @ X0))) = (ld @ X1 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl7341, zip_derived_cl2])).
% 20.93/6.10 thf(zip_derived_cl7506, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (ld @ X1 @ (mult @ X1 @ X0)))
% 20.93/6.10 = (ld @ X1 @ (ld @ (ld @ X1 @ X1) @ X0)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl4821, zip_derived_cl7469])).
% 20.93/6.10 thf(zip_derived_cl7469, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (ld @ X1 @ (mult @ X1 @ X0))) = (ld @ X1 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl7341, zip_derived_cl2])).
% 20.93/6.10 thf(zip_derived_cl7547, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ X0) = (ld @ X1 @ (ld @ (ld @ X1 @ X1) @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7506, zip_derived_cl7469])).
% 20.93/6.10 thf(zip_derived_cl8420, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ X0) = (ld @ (ld @ X1 @ X1) @ (ld @ X1 @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7662, zip_derived_cl7547])).
% 20.93/6.10 thf(zip_derived_cl11959, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X1) @ (ld @ X0 @ X0))
% 20.93/6.10 = (ld @ (rd @ X1 @ X0) @ (rd @ X1 @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl11755, zip_derived_cl7546, zip_derived_cl7574,
% 20.93/6.10 zip_derived_cl7576, zip_derived_cl7546, zip_derived_cl8420])).
% 20.93/6.10 thf(zip_derived_cl7576, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X1) @ X0) = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1578, zip_derived_cl7553])).
% 20.93/6.10 thf(zip_derived_cl12143, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ (rd @ X1 @ X0) @ (rd @ X1 @ X0)) @ X2)
% 20.93/6.10 = (mult @ (ld @ (ld @ X1 @ X1) @ (ld @ X0 @ X0)) @ X2))),
% 20.93/6.10 inference('sup+', [status(thm)],
% 20.93/6.10 [zip_derived_cl11959, zip_derived_cl7576])).
% 20.93/6.10 thf(zip_derived_cl11959, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X1) @ (ld @ X0 @ X0))
% 20.93/6.10 = (ld @ (rd @ X1 @ X0) @ (rd @ X1 @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl11755, zip_derived_cl7546, zip_derived_cl7574,
% 20.93/6.10 zip_derived_cl7576, zip_derived_cl7546, zip_derived_cl8420])).
% 20.93/6.10 thf(zip_derived_cl8623, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (mult @ X1 @ X0) @ (mult @ (mult @ X1 @ X0) @ X2))
% 20.93/6.10 = (ld @ (ld @ X1 @ X1) @ X2))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7431, zip_derived_cl7553])).
% 20.93/6.10 thf(zip_derived_cl7553, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7512, zip_derived_cl1619, zip_derived_cl1619])).
% 20.93/6.10 thf(zip_derived_cl8627, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X1) @ X0)
% 20.93/6.10 = (ld @ (ld @ (mult @ X1 @ X2) @ (mult @ X1 @ X2)) @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl8623, zip_derived_cl7553])).
% 20.93/6.10 thf(zip_derived_cl1657, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X0 @ (ld @ X1 @ X1)) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl689, zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl1656, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (ld @ X1 @ X1)))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl603, zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl1724, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (mult @ X1 @ (ld @ X0 @ X0)) @ X0)
% 20.93/6.10 = (mult @ (mult @ X1 @ X0) @ (ld @ X0 @ X0)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl1657, zip_derived_cl1656])).
% 20.93/6.10 thf(zip_derived_cl131, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (mult @ (rd @ X1 @ X0) @ X0) @ X0) = (mult @ X1 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl118, zip_derived_cl19, zip_derived_cl21])).
% 20.93/6.10 thf(zip_derived_cl603, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1)
% 20.93/6.10 = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl581, zip_derived_cl20, zip_derived_cl2])).
% 20.93/6.10 thf(zip_derived_cl697, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (ld @ X1 @ (mult @ X1 @ (mult @ X1 @ (ld @ X0 @ X0)))) @ X0)
% 20.93/6.10 = (mult @ X1 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl603])).
% 20.93/6.10 thf(zip_derived_cl1518, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1435])).
% 20.93/6.10 thf(zip_derived_cl1659, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (mult @ X1 @ (ld @ X0 @ X0)) @ X0) = (mult @ X1 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl697, zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl1975, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X1 @ X0) = (mult @ (mult @ X1 @ X0) @ (ld @ X0 @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1724, zip_derived_cl1659])).
% 20.93/6.10 thf(zip_derived_cl8623, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (mult @ X1 @ X0) @ (mult @ (mult @ X1 @ X0) @ X2))
% 20.93/6.10 = (ld @ (ld @ X1 @ X1) @ X2))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7431, zip_derived_cl7553])).
% 20.93/6.10 thf(zip_derived_cl8639, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ (mult @ X1 @ X0) @ (mult @ X1 @ X0))
% 20.93/6.10 = (ld @ (ld @ X1 @ X1) @ (ld @ X0 @ X0)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl1975, zip_derived_cl8623])).
% 20.93/6.10 thf(zip_derived_cl10813, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X1) @ X0)
% 20.93/6.10 = (ld @ (ld @ (ld @ X1 @ X1) @ (ld @ X2 @ X2)) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl8627, zip_derived_cl8639])).
% 20.93/6.10 thf(zip_derived_cl12314, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X1) @ X2)
% 20.93/6.10 = (mult @ (ld @ (ld @ X1 @ X1) @ (ld @ X0 @ X0)) @ X2))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl12143, zip_derived_cl11959, zip_derived_cl10813])).
% 20.93/6.10 thf(zip_derived_cl100, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 20.93/6.10 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl82, zip_derived_cl1, zip_derived_cl3])).
% 20.93/6.10 thf(zip_derived_cl603, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1)
% 20.93/6.10 = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl581, zip_derived_cl20, zip_derived_cl2])).
% 20.93/6.10 thf(zip_derived_cl693, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 20.93/6.10 = (mult @ X2 @
% 20.93/6.10 (ld @ X1 @ (mult @ X1 @ (mult @ X1 @ (ld @ X0 @ X0))))))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl603])).
% 20.93/6.10 thf(zip_derived_cl1518, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1435])).
% 20.93/6.10 thf(zip_derived_cl1658, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 20.93/6.10 = (mult @ X2 @ (mult @ X1 @ (ld @ X0 @ X0))))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl693, zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl1659, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (mult @ X1 @ (ld @ X0 @ X0)) @ X0) = (mult @ X1 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl697, zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl1920, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((mult @
% 20.93/6.10 (mult @ X2 @ (mult @ X1 @ (ld @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)))) @
% 20.93/6.10 X0) = (mult @ (rd @ (mult @ X2 @ X1) @ (ld @ X0 @ X0)) @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl1658, zip_derived_cl1659])).
% 20.93/6.10 thf(zip_derived_cl728, plain,
% 20.93/6.10 (![X0 : $i]: ((ld @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)) = (ld @ X0 @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl0])).
% 20.93/6.10 thf(zip_derived_cl728, plain,
% 20.93/6.10 (![X0 : $i]: ((ld @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)) = (ld @ X0 @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl0])).
% 20.93/6.10 thf(zip_derived_cl121, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1)
% 20.93/6.10 = (mult @ (ld @ X0 @ X0) @ (mult @ (rd @ X0 @ X1) @ X1)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl100])).
% 20.93/6.10 thf(zip_derived_cl100, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 20.93/6.10 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl82, zip_derived_cl1, zip_derived_cl3])).
% 20.93/6.10 thf(zip_derived_cl3, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.93/6.10 inference('cnf', [status(esa)], [f04])).
% 20.93/6.10 thf(zip_derived_cl111, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((mult @ (rd @ (rd @ (mult @ X2 @ X1) @ X0) @ X0) @ X0)
% 20.93/6.10 = (rd @ (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)) @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl3])).
% 20.93/6.10 thf(zip_derived_cl367, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((rd @ (mult @ X0 @ (rd @ X2 @ X1)) @ (rd @ X2 @ X1))
% 20.93/6.10 = (mult @ (rd @ X0 @ X1) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl121])).
% 20.93/6.10 thf(zip_derived_cl1, plain,
% 20.93/6.10 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 20.93/6.10 inference('cnf', [status(esa)], [f02])).
% 20.93/6.10 thf(zip_derived_cl375, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ (rd @ X1 @ X0) @ X0) @ X0) = (rd @ X1 @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl1])).
% 20.93/6.10 thf(zip_derived_cl459, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((rd @ (mult @ X2 @ X1) @ X0)
% 20.93/6.10 = (rd @ (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl111, zip_derived_cl375])).
% 20.93/6.10 thf(zip_derived_cl474, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((rd @ (mult @ (ld @ X1 @ X1) @ X1) @ X0)
% 20.93/6.10 = (rd @ (mult @ (rd @ X1 @ X0) @ X0) @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl459])).
% 20.93/6.10 thf(zip_derived_cl21, plain,
% 20.93/6.10 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl19])).
% 20.93/6.10 thf(zip_derived_cl497, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((rd @ X1 @ X0) = (rd @ (mult @ (rd @ X1 @ X0) @ X0) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl474, zip_derived_cl21])).
% 20.93/6.10 thf(zip_derived_cl603, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (rd @ X0 @ X1) @ X1)
% 20.93/6.10 = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl581, zip_derived_cl20, zip_derived_cl2])).
% 20.93/6.10 thf(zip_derived_cl702, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((rd @ X1 @ X0)
% 20.93/6.10 = (rd @ (ld @ X1 @ (mult @ X1 @ (mult @ X1 @ (ld @ X0 @ X0)))) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl497, zip_derived_cl603])).
% 20.93/6.10 thf(zip_derived_cl1518, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1435])).
% 20.93/6.10 thf(zip_derived_cl1662, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((rd @ X1 @ X0) = (rd @ (mult @ X1 @ (ld @ X0 @ X0)) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl702, zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl1810, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((rd @ X1 @ (ld @ X0 @ X0))
% 20.93/6.10 = (rd @ (mult @ X1 @ (ld @ X0 @ X0)) @ (ld @ X0 @ X0)))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl728, zip_derived_cl1662])).
% 20.93/6.10 thf(zip_derived_cl1657, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X0 @ (ld @ X1 @ X1)) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl689, zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl728, plain,
% 20.93/6.10 (![X0 : $i]: ((ld @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)) = (ld @ X0 @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl0])).
% 20.93/6.10 thf(zip_derived_cl1818, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((rd @ X1 @ (ld @ X0 @ X0)) = (mult @ X1 @ (ld @ X0 @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1810, zip_derived_cl1657, zip_derived_cl728])).
% 20.93/6.10 thf(zip_derived_cl1659, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (mult @ X1 @ (ld @ X0 @ X0)) @ X0) = (mult @ X1 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl697, zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl1971, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((mult @ (mult @ X2 @ (mult @ X1 @ (ld @ X0 @ X0))) @ X0)
% 20.93/6.10 = (mult @ (mult @ X2 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1920, zip_derived_cl728, zip_derived_cl1818,
% 20.93/6.10 zip_derived_cl1659])).
% 20.93/6.10 thf(zip_derived_cl17089, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.93/6.10 ((mult @ (mult @ X3 @ (ld @ (ld @ X1 @ X1) @ (ld @ X0 @ X0))) @ X0)
% 20.93/6.10 = (mult @ (mult @ X3 @ (ld @ (ld @ X1 @ X1) @ (ld @ X2 @ X2))) @ X0))),
% 20.93/6.10 inference('sup+', [status(thm)],
% 20.93/6.10 [zip_derived_cl12314, zip_derived_cl1971])).
% 20.93/6.10 thf(zip_derived_cl10813, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X1) @ X0)
% 20.93/6.10 = (ld @ (ld @ (ld @ X1 @ X1) @ (ld @ X2 @ X2)) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl8627, zip_derived_cl8639])).
% 20.93/6.10 thf(zip_derived_cl7576, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X1) @ X0) = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1578, zip_derived_cl7553])).
% 20.93/6.10 thf(zip_derived_cl10822, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @
% 20.93/6.10 (ld @ (ld @ (ld @ X1 @ X1) @ (ld @ X0 @ X0)) @
% 20.93/6.10 (ld @ (ld @ X1 @ X1) @ (ld @ X0 @ X0))) @
% 20.93/6.10 X2)
% 20.93/6.10 = (mult @
% 20.93/6.10 (ld @ (ld @ X1 @ X1) @ (ld @ (ld @ X1 @ X1) @ (ld @ X0 @ X0))) @
% 20.93/6.10 X2))),
% 20.93/6.10 inference('sup+', [status(thm)],
% 20.93/6.10 [zip_derived_cl10813, zip_derived_cl7576])).
% 20.93/6.10 thf(zip_derived_cl10813, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X1) @ X0)
% 20.93/6.10 = (ld @ (ld @ (ld @ X1 @ X1) @ (ld @ X2 @ X2)) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl8627, zip_derived_cl8639])).
% 20.93/6.10 thf(zip_derived_cl1619, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ (ld @ X0 @ X0) @ (ld @ X0 @ (mult @ X0 @ X1)))
% 20.93/6.10 = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1618, zip_derived_cl1578, zip_derived_cl1578])).
% 20.93/6.10 thf(zip_derived_cl7553, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7512, zip_derived_cl1619, zip_derived_cl1619])).
% 20.93/6.10 thf(zip_derived_cl7553, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ X1 @ (mult @ X1 @ X0)) = (ld @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl7512, zip_derived_cl1619, zip_derived_cl1619])).
% 20.93/6.10 thf(zip_derived_cl7578, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ (ld @ X0 @ X0) @ (ld @ (ld @ X0 @ X0) @ X1))
% 20.93/6.10 = (ld @ (ld @ X0 @ X0) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1619, zip_derived_cl7553, zip_derived_cl7553])).
% 20.93/6.10 thf(zip_derived_cl10813, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X1) @ X0)
% 20.93/6.10 = (ld @ (ld @ (ld @ X1 @ X1) @ (ld @ X2 @ X2)) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl8627, zip_derived_cl8639])).
% 20.93/6.10 thf(zip_derived_cl7578, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ (ld @ X0 @ X0) @ (ld @ (ld @ X0 @ X0) @ X1))
% 20.93/6.10 = (ld @ (ld @ X0 @ X0) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1619, zip_derived_cl7553, zip_derived_cl7553])).
% 20.93/6.10 thf(zip_derived_cl7574, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X0 @ X0) @ (mult @ X2 @ X1))
% 20.93/6.10 = (mult @ (ld @ (ld @ X0 @ X0) @ X2) @ X1))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1435, zip_derived_cl7553, zip_derived_cl7553])).
% 20.93/6.10 thf(zip_derived_cl7576, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X1) @ X0) = (mult @ (ld @ X1 @ X1) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1578, zip_derived_cl7553])).
% 20.93/6.10 thf(zip_derived_cl10965, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((ld @ (ld @ X1 @ X1) @ X2)
% 20.93/6.10 = (ld @ (ld @ X1 @ X1) @ (ld @ (ld @ X0 @ X0) @ X2)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl10822, zip_derived_cl10813, zip_derived_cl7578,
% 20.93/6.10 zip_derived_cl10813, zip_derived_cl7578, zip_derived_cl7574,
% 20.93/6.10 zip_derived_cl7576])).
% 20.93/6.10 thf(zip_derived_cl4821, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X1 @ X0) = (mult @ X1 @ (ld @ (ld @ X1 @ X1) @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl4773, zip_derived_cl2, zip_derived_cl1518,
% 20.93/6.10 zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl15456, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((mult @ X1 @ (ld @ (ld @ X2 @ X2) @ X0))
% 20.93/6.10 = (mult @ X1 @ (ld @ (ld @ X1 @ X1) @ X0)))),
% 20.93/6.10 inference('sup+', [status(thm)],
% 20.93/6.10 [zip_derived_cl10965, zip_derived_cl4821])).
% 20.93/6.10 thf(zip_derived_cl4821, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ X1 @ X0) = (mult @ X1 @ (ld @ (ld @ X1 @ X1) @ X0)))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl4773, zip_derived_cl2, zip_derived_cl1518,
% 20.93/6.10 zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl15670, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((mult @ X1 @ (ld @ (ld @ X2 @ X2) @ X0)) = (mult @ X1 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl15456, zip_derived_cl4821])).
% 20.93/6.10 thf(zip_derived_cl1659, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i]:
% 20.93/6.10 ((mult @ (mult @ X1 @ (ld @ X0 @ X0)) @ X0) = (mult @ X1 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)], [zip_derived_cl697, zip_derived_cl1518])).
% 20.93/6.10 thf(zip_derived_cl15670, plain,
% 20.93/6.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.93/6.10 ((mult @ X1 @ (ld @ (ld @ X2 @ X2) @ X0)) = (mult @ X1 @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl15456, zip_derived_cl4821])).
% 20.93/6.10 thf(zip_derived_cl17221, plain,
% 20.93/6.10 (![X0 : $i, X2 : $i, X3 : $i]:
% 20.93/6.10 ((mult @ X3 @ X0) = (mult @ (mult @ X3 @ (ld @ X2 @ X2)) @ X0))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl17089, zip_derived_cl15670, zip_derived_cl1659,
% 20.93/6.10 zip_derived_cl15670])).
% 20.93/6.10 thf(zip_derived_cl17380, plain, (((mult @ x3 @ x5) != (mult @ x3 @ x5))),
% 20.93/6.10 inference('demod', [status(thm)],
% 20.93/6.10 [zip_derived_cl1696, zip_derived_cl17221])).
% 20.93/6.10 thf(zip_derived_cl17381, plain, ($false),
% 20.93/6.10 inference('simplify', [status(thm)], [zip_derived_cl17380])).
% 20.93/6.10
% 20.93/6.10 % SZS output end Refutation
% 20.93/6.10
% 20.93/6.10
% 20.93/6.10 % Terminating...
% 21.34/6.24 % Runner terminated.
% 21.39/6.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------