TSTP Solution File: GRP707-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP707-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9BPcBfY0nZ true
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:53:02 EDT 2023
% Result : Unsatisfiable 45.97s 7.21s
% Output : Refutation 45.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP707-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9BPcBfY0nZ true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 01:32:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.17/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 45.97/7.21 % Solved by fo/fo13.sh.
% 45.97/7.21 % done 1853 iterations in 6.447s
% 45.97/7.21 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 45.97/7.21 % SZS output start Refutation
% 45.97/7.21 thf(a_type, type, a: $i).
% 45.97/7.21 thf(ld_type, type, ld: $i > $i > $i).
% 45.97/7.21 thf(rd_type, type, rd: $i > $i > $i).
% 45.97/7.21 thf(mult_type, type, mult: $i > $i > $i).
% 45.97/7.21 thf(b_type, type, b: $i).
% 45.97/7.21 thf(unit_type, type, unit: $i).
% 45.97/7.21 thf(goals, conjecture,
% 45.97/7.21 (( mult @ ( mult @ a @ b ) @ a ) = ( mult @ a @ ( mult @ b @ a ) ))).
% 45.97/7.21 thf(zf_stmt_0, negated_conjecture,
% 45.97/7.21 (( mult @ ( mult @ a @ b ) @ a ) != ( mult @ a @ ( mult @ b @ a ) )),
% 45.97/7.21 inference('cnf.neg', [status(esa)], [goals])).
% 45.97/7.21 thf(zip_derived_cl9, plain,
% 45.97/7.21 (((mult @ (mult @ a @ b) @ a) != (mult @ a @ (mult @ b @ a)))),
% 45.97/7.21 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.97/7.21 thf(c04, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 45.97/7.21 thf(zip_derived_cl3, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c04])).
% 45.97/7.21 thf(c06, axiom, (( mult @ unit @ A ) = ( A ))).
% 45.97/7.21 thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c06])).
% 45.97/7.21 thf(c07, axiom,
% 45.97/7.21 (( mult @ A @ ( mult @ B @ ( mult @ B @ C ) ) ) =
% 45.97/7.21 ( mult @ ( mult @ ( mult @ A @ B ) @ B ) @ C ))).
% 45.97/7.21 thf(zip_derived_cl6, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 45.97/7.21 = (mult @ (mult @ (mult @ X0 @ X1) @ X1) @ X2))),
% 45.97/7.21 inference('cnf', [status(esa)], [c07])).
% 45.97/7.21 thf(zip_derived_cl81, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ unit @ (mult @ X0 @ (mult @ X0 @ X1)))
% 45.97/7.21 = (mult @ (mult @ X0 @ X0) @ X1))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 45.97/7.21 thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c06])).
% 45.97/7.21 thf(zip_derived_cl88, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl5])).
% 45.97/7.21 thf(c01, axiom, (( mult @ A @ ( ld @ A @ B ) ) = ( B ))).
% 45.97/7.21 thf(zip_derived_cl0, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c01])).
% 45.97/7.21 thf(zip_derived_cl123, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X1 @ (ld @ (mult @ X1 @ X1) @ X0))) = (X0))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl0])).
% 45.97/7.21 thf(zip_derived_cl6, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 45.97/7.21 = (mult @ (mult @ (mult @ X0 @ X1) @ X1) @ X2))),
% 45.97/7.21 inference('cnf', [status(esa)], [c07])).
% 45.97/7.21 thf(c05, axiom, (( mult @ A @ unit ) = ( A ))).
% 45.97/7.21 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c05])).
% 45.97/7.21 thf(zip_derived_cl66, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X0 @ (mult @ X0 @ unit)))
% 45.97/7.21 = (mult @ (mult @ X1 @ X0) @ X0))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl4])).
% 45.97/7.21 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c05])).
% 45.97/7.21 thf(zip_derived_cl92, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl4])).
% 45.97/7.21 thf(c09, axiom,
% 45.97/7.21 (( mult @ ( mult @ A @ A ) @ B ) = ( mult @ B @ ( mult @ A @ A ) ))).
% 45.97/7.21 thf(zip_derived_cl8, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (mult @ X1 @ X1) @ X0) = (mult @ X0 @ (mult @ X1 @ X1)))),
% 45.97/7.21 inference('cnf', [status(esa)], [c09])).
% 45.97/7.21 thf(c02, axiom, (( ld @ A @ ( mult @ A @ B ) ) = ( B ))).
% 45.97/7.21 thf(zip_derived_cl1, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c02])).
% 45.97/7.21 thf(zip_derived_cl32, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ (mult @ X0 @ X0) @ (mult @ X1 @ (mult @ X0 @ X0))) = (X1))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl885, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ (mult @ X0 @ X0) @
% 45.97/7.21 (mult @ X1 @ (mult @ (mult @ X0 @ X0) @ (mult @ X0 @ X0))))
% 45.97/7.21 = (mult @ X1 @ (mult @ X0 @ X0)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl32])).
% 45.97/7.21 thf(zip_derived_cl88, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl5])).
% 45.97/7.21 thf(c08, axiom, (( mult @ A @ ( mult @ A @ ( mult @ A @ A ) ) ) = ( unit ))).
% 45.97/7.21 thf(zip_derived_cl7, plain,
% 45.97/7.21 (![X0 : $i]: ((mult @ X0 @ (mult @ X0 @ (mult @ X0 @ X0))) = (unit))),
% 45.97/7.21 inference('cnf', [status(esa)], [c08])).
% 45.97/7.21 thf(zip_derived_cl1, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c02])).
% 45.97/7.21 thf(zip_derived_cl46, plain,
% 45.97/7.21 (![X0 : $i]: ((ld @ X0 @ unit) = (mult @ X0 @ (mult @ X0 @ X0)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl115, plain,
% 45.97/7.21 (![X0 : $i]:
% 45.97/7.21 ((ld @ (mult @ X0 @ X0) @ unit)
% 45.97/7.21 = (mult @ (mult @ X0 @ X0) @
% 45.97/7.21 (mult @ X0 @ (mult @ X0 @ (mult @ X0 @ X0)))))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl46])).
% 45.97/7.21 thf(zip_derived_cl7, plain,
% 45.97/7.21 (![X0 : $i]: ((mult @ X0 @ (mult @ X0 @ (mult @ X0 @ X0))) = (unit))),
% 45.97/7.21 inference('cnf', [status(esa)], [c08])).
% 45.97/7.21 thf(zip_derived_cl88, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl5])).
% 45.97/7.21 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c05])).
% 45.97/7.21 thf(zip_derived_cl141, plain,
% 45.97/7.21 (![X0 : $i]: ((ld @ (mult @ X0 @ X0) @ unit) = (mult @ X0 @ X0))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl115, zip_derived_cl7, zip_derived_cl88,
% 45.97/7.21 zip_derived_cl4])).
% 45.97/7.21 thf(zip_derived_cl0, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c01])).
% 45.97/7.21 thf(zip_derived_cl271, plain,
% 45.97/7.21 (![X0 : $i]: ((mult @ (mult @ X0 @ X0) @ (mult @ X0 @ X0)) = (unit))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl0])).
% 45.97/7.21 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c05])).
% 45.97/7.21 thf(zip_derived_cl912, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ (mult @ X0 @ X0) @ X1) = (mult @ X1 @ (mult @ X0 @ X0)))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl885, zip_derived_cl271, zip_derived_cl4])).
% 45.97/7.21 thf(zip_derived_cl3454, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X1 @ (mult @ X0 @ (mult @ X1 @ X1)))) = (X0))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl123, zip_derived_cl912])).
% 45.97/7.21 thf(zip_derived_cl6, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 45.97/7.21 = (mult @ (mult @ (mult @ X0 @ X1) @ X1) @ X2))),
% 45.97/7.21 inference('cnf', [status(esa)], [c07])).
% 45.97/7.21 thf(zip_derived_cl6, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 45.97/7.21 = (mult @ (mult @ (mult @ X0 @ X1) @ X1) @ X2))),
% 45.97/7.21 inference('cnf', [status(esa)], [c07])).
% 45.97/7.21 thf(zip_derived_cl79, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.97/7.21 ((mult @ (mult @ (mult @ X2 @ X1) @ X1) @
% 45.97/7.21 (mult @ X0 @ (mult @ X0 @ X3)))
% 45.97/7.21 = (mult @
% 45.97/7.21 (mult @ (mult @ X2 @ (mult @ X1 @ (mult @ X1 @ X0))) @ X0) @ X3))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 45.97/7.21 thf(zip_derived_cl6, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 45.97/7.21 = (mult @ (mult @ (mult @ X0 @ X1) @ X1) @ X2))),
% 45.97/7.21 inference('cnf', [status(esa)], [c07])).
% 45.97/7.21 thf(zip_derived_cl87, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.97/7.21 ((mult @ X2 @
% 45.97/7.21 (mult @ X1 @ (mult @ X1 @ (mult @ X0 @ (mult @ X0 @ X3)))))
% 45.97/7.21 = (mult @
% 45.97/7.21 (mult @ (mult @ X2 @ (mult @ X1 @ (mult @ X1 @ X0))) @ X0) @ X3))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl6])).
% 45.97/7.21 thf(zip_derived_cl3478, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @
% 45.97/7.21 (mult @ X0 @
% 45.97/7.21 (mult @ X0 @
% 45.97/7.21 (mult @ (mult @ X0 @ X0) @ (mult @ (mult @ X0 @ X0) @ X1)))))
% 45.97/7.21 = (mult @ (mult @ X0 @ (mult @ X0 @ X0)) @ X1))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl3454, zip_derived_cl87])).
% 45.97/7.21 thf(zip_derived_cl88, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl5])).
% 45.97/7.21 thf(zip_derived_cl88, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl5])).
% 45.97/7.21 thf(zip_derived_cl8, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (mult @ X1 @ X1) @ X0) = (mult @ X0 @ (mult @ X1 @ X1)))),
% 45.97/7.21 inference('cnf', [status(esa)], [c09])).
% 45.97/7.21 thf(zip_derived_cl88, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl5])).
% 45.97/7.21 thf(zip_derived_cl127, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (mult @ X0 @ X0) @ (mult @ (mult @ X0 @ X0) @ X1))
% 45.97/7.21 = (mult @ (mult @ (mult @ X0 @ X0) @ (mult @ X0 @ X0)) @ X1))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl88])).
% 45.97/7.21 thf(zip_derived_cl88, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl5])).
% 45.97/7.21 thf(zip_derived_cl88, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl5])).
% 45.97/7.21 thf(zip_derived_cl88, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl5])).
% 45.97/7.21 thf(zip_derived_cl7, plain,
% 45.97/7.21 (![X0 : $i]: ((mult @ X0 @ (mult @ X0 @ (mult @ X0 @ X0))) = (unit))),
% 45.97/7.21 inference('cnf', [status(esa)], [c08])).
% 45.97/7.21 thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c06])).
% 45.97/7.21 thf(zip_derived_cl133, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X0 @ (mult @ X0 @ (mult @ X0 @ X1)))) = (X1))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl127, zip_derived_cl88, zip_derived_cl88,
% 45.97/7.21 zip_derived_cl88, zip_derived_cl7, zip_derived_cl5])).
% 45.97/7.21 thf(zip_derived_cl1, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c02])).
% 45.97/7.21 thf(zip_derived_cl2764, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X1 @ X0) = (mult @ X1 @ (mult @ X1 @ (mult @ X1 @ X0))))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl0, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c01])).
% 45.97/7.21 thf(zip_derived_cl2764, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X1 @ X0) = (mult @ X1 @ (mult @ X1 @ (mult @ X1 @ X0))))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl3562, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X0 @ X1) = (mult @ (mult @ X0 @ (mult @ X0 @ X0)) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl3478, zip_derived_cl88, zip_derived_cl88,
% 45.97/7.21 zip_derived_cl2764, zip_derived_cl0, zip_derived_cl2764])).
% 45.97/7.21 thf(zip_derived_cl88, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl5])).
% 45.97/7.21 thf(zip_derived_cl8, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (mult @ X1 @ X1) @ X0) = (mult @ X0 @ (mult @ X1 @ X1)))),
% 45.97/7.21 inference('cnf', [status(esa)], [c09])).
% 45.97/7.21 thf(zip_derived_cl126, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X1 @ X0)) = (mult @ X0 @ (mult @ X1 @ X1)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl8])).
% 45.97/7.21 thf(zip_derived_cl1, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c02])).
% 45.97/7.21 thf(zip_derived_cl169, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X0 @ (mult @ X1 @ (mult @ X0 @ X0))) = (mult @ X0 @ X1))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl14506, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X0 @ (ld @ X1 @ (mult @ X0 @ X0)))
% 45.97/7.21 = (mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X1))))),
% 45.97/7.21 inference('s_sup+', [status(thm)],
% 45.97/7.21 [zip_derived_cl3562, zip_derived_cl169])).
% 45.97/7.21 thf(zip_derived_cl1, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c02])).
% 45.97/7.21 thf(zip_derived_cl46, plain,
% 45.97/7.21 (![X0 : $i]: ((ld @ X0 @ unit) = (mult @ X0 @ (mult @ X0 @ X0)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl6, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 45.97/7.21 = (mult @ (mult @ (mult @ X0 @ X1) @ X1) @ X2))),
% 45.97/7.21 inference('cnf', [status(esa)], [c07])).
% 45.97/7.21 thf(zip_derived_cl92, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl4])).
% 45.97/7.21 thf(zip_derived_cl238, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 45.97/7.21 = (mult @ (mult @ X0 @ (mult @ X1 @ X1)) @ X2))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl92])).
% 45.97/7.21 thf(zip_derived_cl6751, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X0 @ (mult @ X0 @ X1)))
% 45.97/7.21 = (mult @ (ld @ X0 @ unit) @ X1))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl238])).
% 45.97/7.21 thf(zip_derived_cl2764, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X1 @ X0) = (mult @ X1 @ (mult @ X1 @ (mult @ X1 @ X0))))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl6803, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X0 @ X1) = (mult @ (ld @ X0 @ unit) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl6751, zip_derived_cl2764])).
% 45.97/7.21 thf(zip_derived_cl3, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c04])).
% 45.97/7.21 thf(zip_derived_cl6977, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((rd @ (ld @ X1 @ X0) @ X0) = (ld @ X1 @ unit))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl6803, zip_derived_cl3])).
% 45.97/7.21 thf(zip_derived_cl7236, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((rd @ X0 @ (mult @ X1 @ X0)) = (ld @ X1 @ unit))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl6977])).
% 45.97/7.21 thf(c03, axiom, (( mult @ ( rd @ A @ B ) @ B ) = ( A ))).
% 45.97/7.21 thf(zip_derived_cl2, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c03])).
% 45.97/7.21 thf(zip_derived_cl7438, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (ld @ X0 @ unit) @ (mult @ X0 @ X1)) = (X1))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl7236, zip_derived_cl2])).
% 45.97/7.21 thf(zip_derived_cl126, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X1 @ X0)) = (mult @ X0 @ (mult @ X1 @ X1)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl8])).
% 45.97/7.21 thf(zip_derived_cl92, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl4])).
% 45.97/7.21 thf(zip_derived_cl250, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ (mult @ X0 @ X1) @ (mult @ X0 @ X1)))
% 45.97/7.21 = (mult @ (mult @ X1 @ (mult @ X0 @ X0)) @ (mult @ X0 @ X1)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl92])).
% 45.97/7.21 thf(zip_derived_cl9882, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (ld @ X1 @ unit) @ (mult @ X0 @ X0))
% 45.97/7.21 = (mult @
% 45.97/7.21 (mult @ (mult @ X1 @ X0) @
% 45.97/7.21 (mult @ (ld @ X1 @ unit) @ (ld @ X1 @ unit))) @
% 45.97/7.21 X0))),
% 45.97/7.21 inference('s_sup+', [status(thm)],
% 45.97/7.21 [zip_derived_cl7438, zip_derived_cl250])).
% 45.97/7.21 thf(zip_derived_cl6803, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X0 @ X1) = (mult @ (ld @ X0 @ unit) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl6751, zip_derived_cl2764])).
% 45.97/7.21 thf(zip_derived_cl2, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c03])).
% 45.97/7.21 thf(zip_derived_cl1, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c02])).
% 45.97/7.21 thf(zip_derived_cl36, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ (rd @ X0 @ X1) @ X0) = (X1))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl46, plain,
% 45.97/7.21 (![X0 : $i]: ((ld @ X0 @ unit) = (mult @ X0 @ (mult @ X0 @ X0)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl1, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c02])).
% 45.97/7.21 thf(zip_derived_cl97, plain,
% 45.97/7.21 (![X0 : $i]: ((ld @ X0 @ (ld @ X0 @ unit)) = (mult @ X0 @ X0))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl233, plain,
% 45.97/7.21 (![X0 : $i]:
% 45.97/7.21 ((ld @ (rd @ unit @ X0) @ X0)
% 45.97/7.21 = (mult @ (rd @ unit @ X0) @ (rd @ unit @ X0)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl97])).
% 45.97/7.21 thf(zip_derived_cl46, plain,
% 45.97/7.21 (![X0 : $i]: ((ld @ X0 @ unit) = (mult @ X0 @ (mult @ X0 @ X0)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl3, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c04])).
% 45.97/7.21 thf(zip_derived_cl98, plain,
% 45.97/7.21 (![X0 : $i]: ((rd @ (ld @ X0 @ unit) @ (mult @ X0 @ X0)) = (X0))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl3])).
% 45.97/7.21 thf(zip_derived_cl8, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (mult @ X1 @ X1) @ X0) = (mult @ X0 @ (mult @ X1 @ X1)))),
% 45.97/7.21 inference('cnf', [status(esa)], [c09])).
% 45.97/7.21 thf(zip_derived_cl2, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c03])).
% 45.97/7.21 thf(zip_derived_cl37, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (mult @ X0 @ X0) @ (rd @ X1 @ (mult @ X0 @ X0))) = (X1))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 45.97/7.21 thf(zip_derived_cl1191, plain,
% 45.97/7.21 (![X0 : $i]: ((mult @ (mult @ X0 @ X0) @ X0) = (ld @ X0 @ unit))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl37])).
% 45.97/7.21 thf(zip_derived_cl92, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl4])).
% 45.97/7.21 thf(zip_derived_cl1240, plain,
% 45.97/7.21 (![X0 : $i]:
% 45.97/7.21 ((mult @ (mult @ X0 @ X0) @ (mult @ X0 @ X0))
% 45.97/7.21 = (mult @ (ld @ X0 @ unit) @ X0))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl1191, zip_derived_cl92])).
% 45.97/7.21 thf(zip_derived_cl271, plain,
% 45.97/7.21 (![X0 : $i]: ((mult @ (mult @ X0 @ X0) @ (mult @ X0 @ X0)) = (unit))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl0])).
% 45.97/7.21 thf(zip_derived_cl1274, plain,
% 45.97/7.21 (![X0 : $i]: ((unit) = (mult @ (ld @ X0 @ unit) @ X0))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl1240, zip_derived_cl271])).
% 45.97/7.21 thf(zip_derived_cl3, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c04])).
% 45.97/7.21 thf(zip_derived_cl1288, plain,
% 45.97/7.21 (![X0 : $i]: ((rd @ unit @ X0) = (ld @ X0 @ unit))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl1274, zip_derived_cl3])).
% 45.97/7.21 thf(zip_derived_cl46, plain,
% 45.97/7.21 (![X0 : $i]: ((ld @ X0 @ unit) = (mult @ X0 @ (mult @ X0 @ X0)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl92, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl4])).
% 45.97/7.21 thf(zip_derived_cl246, plain,
% 45.97/7.21 (![X0 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ (mult @ X0 @ X0) @ (mult @ X0 @ X0)))
% 45.97/7.21 = (mult @ (ld @ X0 @ unit) @ (mult @ X0 @ X0)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl92])).
% 45.97/7.21 thf(zip_derived_cl88, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl5])).
% 45.97/7.21 thf(zip_derived_cl7, plain,
% 45.97/7.21 (![X0 : $i]: ((mult @ X0 @ (mult @ X0 @ (mult @ X0 @ X0))) = (unit))),
% 45.97/7.21 inference('cnf', [status(esa)], [c08])).
% 45.97/7.21 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c05])).
% 45.97/7.21 thf(zip_derived_cl259, plain,
% 45.97/7.21 (![X0 : $i]: ((X0) = (mult @ (ld @ X0 @ unit) @ (mult @ X0 @ X0)))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl246, zip_derived_cl88, zip_derived_cl7,
% 45.97/7.21 zip_derived_cl4])).
% 45.97/7.21 thf(zip_derived_cl1, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c02])).
% 45.97/7.21 thf(zip_derived_cl835, plain,
% 45.97/7.21 (![X0 : $i]: ((ld @ (ld @ X0 @ unit) @ X0) = (mult @ X0 @ X0))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl1288, plain,
% 45.97/7.21 (![X0 : $i]: ((rd @ unit @ X0) = (ld @ X0 @ unit))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl1274, zip_derived_cl3])).
% 45.97/7.21 thf(zip_derived_cl1288, plain,
% 45.97/7.21 (![X0 : $i]: ((rd @ unit @ X0) = (ld @ X0 @ unit))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl1274, zip_derived_cl3])).
% 45.97/7.21 thf(zip_derived_cl6436, plain,
% 45.97/7.21 (![X0 : $i]:
% 45.97/7.21 ((mult @ X0 @ X0) = (mult @ (ld @ X0 @ unit) @ (ld @ X0 @ unit)))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl233, zip_derived_cl1288, zip_derived_cl835,
% 45.97/7.21 zip_derived_cl1288, zip_derived_cl1288])).
% 45.97/7.21 thf(zip_derived_cl126, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X1 @ X0)) = (mult @ X0 @ (mult @ X1 @ X1)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl8])).
% 45.97/7.21 thf(zip_derived_cl2764, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X1 @ X0) = (mult @ X1 @ (mult @ X1 @ (mult @ X1 @ X0))))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl10045, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X1 @ (mult @ X0 @ X0)) = (mult @ (ld @ X1 @ X0) @ X0))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl9882, zip_derived_cl6803, zip_derived_cl6436,
% 45.97/7.21 zip_derived_cl126, zip_derived_cl2764])).
% 45.97/7.21 thf(zip_derived_cl2, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c03])).
% 45.97/7.21 thf(zip_derived_cl92, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl4])).
% 45.97/7.21 thf(zip_derived_cl256, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (rd @ X0 @ X1) @ (mult @ X1 @ X1)) = (mult @ X0 @ X1))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl92])).
% 45.97/7.21 thf(zip_derived_cl169, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X0 @ (mult @ X1 @ (mult @ X0 @ X0))) = (mult @ X0 @ X1))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl4279, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X0 @ (mult @ X1 @ X0)) = (mult @ X0 @ (rd @ X1 @ X0)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl169])).
% 45.97/7.21 thf(zip_derived_cl6977, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((rd @ (ld @ X1 @ X0) @ X0) = (ld @ X1 @ unit))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl6803, zip_derived_cl3])).
% 45.97/7.21 thf(zip_derived_cl14782, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X0 @ (ld @ X1 @ unit))
% 45.97/7.21 = (mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X1))))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl14506, zip_derived_cl10045, zip_derived_cl4279,
% 45.97/7.21 zip_derived_cl6977])).
% 45.97/7.21 thf(zip_derived_cl1274, plain,
% 45.97/7.21 (![X0 : $i]: ((unit) = (mult @ (ld @ X0 @ unit) @ X0))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl1240, zip_derived_cl271])).
% 45.97/7.21 thf(zip_derived_cl1, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c02])).
% 45.97/7.21 thf(zip_derived_cl1284, plain,
% 45.97/7.21 (![X0 : $i]: ((ld @ (ld @ X0 @ unit) @ unit) = (X0))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl1274, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl6803, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X0 @ X1) = (mult @ (ld @ X0 @ unit) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl6751, zip_derived_cl2764])).
% 45.97/7.21 thf(zip_derived_cl1, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c02])).
% 45.97/7.21 thf(zip_derived_cl6956, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ (ld @ X1 @ unit) @ (ld @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl6803, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl2764, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X1 @ X0) = (mult @ X1 @ (mult @ X1 @ (mult @ X1 @ X0))))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl126, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X1 @ X0)) = (mult @ X0 @ (mult @ X1 @ X1)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl8])).
% 45.97/7.21 thf(zip_derived_cl92, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl4])).
% 45.97/7.21 thf(zip_derived_cl3, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c04])).
% 45.97/7.21 thf(zip_derived_cl242, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((rd @ (mult @ X1 @ (mult @ X0 @ X0)) @ X0) = (mult @ X1 @ X0))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl3])).
% 45.97/7.21 thf(zip_derived_cl4121, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((rd @ (mult @ X1 @ (mult @ X1 @ X0)) @ X1) = (mult @ X0 @ X1))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl242])).
% 45.97/7.21 thf(zip_derived_cl14882, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((rd @ (ld @ X1 @ X0) @ X1) = (mult @ (mult @ X1 @ X0) @ X1))),
% 45.97/7.21 inference('s_sup+', [status(thm)],
% 45.97/7.21 [zip_derived_cl2764, zip_derived_cl4121])).
% 45.97/7.21 thf(zip_derived_cl15318, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((rd @ X0 @ (ld @ X1 @ unit))
% 45.97/7.21 = (mult @ (mult @ (ld @ X1 @ unit) @ (ld @ X1 @ X0)) @
% 45.97/7.21 (ld @ X1 @ unit)))),
% 45.97/7.21 inference('s_sup+', [status(thm)],
% 45.97/7.21 [zip_derived_cl6956, zip_derived_cl14882])).
% 45.97/7.21 thf(zip_derived_cl6803, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X0 @ X1) = (mult @ (ld @ X0 @ unit) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl6751, zip_derived_cl2764])).
% 45.97/7.21 thf(zip_derived_cl126, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X1 @ X0)) = (mult @ X0 @ (mult @ X1 @ X1)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl8])).
% 45.97/7.21 thf(zip_derived_cl2764, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X1 @ X0) = (mult @ X1 @ (mult @ X1 @ (mult @ X1 @ X0))))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl3043, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X0 @ X1) = (mult @ X0 @ (mult @ X1 @ (mult @ X0 @ X0))))),
% 45.97/7.21 inference('s_sup+', [status(thm)],
% 45.97/7.21 [zip_derived_cl126, zip_derived_cl2764])).
% 45.97/7.21 thf(zip_derived_cl1, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c02])).
% 45.97/7.21 thf(zip_derived_cl5897, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X1 @ (ld @ X1 @ X0)) = (mult @ X0 @ (mult @ X1 @ X1)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl3043, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl238, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 45.97/7.21 = (mult @ (mult @ X0 @ (mult @ X1 @ X1)) @ X2))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl92])).
% 45.97/7.21 thf(zip_derived_cl0, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c01])).
% 45.97/7.21 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c05])).
% 45.97/7.21 thf(zip_derived_cl15347, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((rd @ X0 @ (ld @ X1 @ unit)) = (mult @ X0 @ X1))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl15318, zip_derived_cl6803, zip_derived_cl5897,
% 45.97/7.21 zip_derived_cl238, zip_derived_cl0, zip_derived_cl4])).
% 45.97/7.21 thf(zip_derived_cl15391, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((rd @ X1 @ X0) = (mult @ X1 @ (ld @ X0 @ unit)))),
% 45.97/7.21 inference('s_sup+', [status(thm)],
% 45.97/7.21 [zip_derived_cl1284, zip_derived_cl15347])).
% 45.97/7.21 thf(zip_derived_cl21384, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((rd @ X0 @ X1) = (mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X1))))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl14782, zip_derived_cl15391])).
% 45.97/7.21 thf(zip_derived_cl7438, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (ld @ X0 @ unit) @ (mult @ X0 @ X1)) = (X1))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl7236, zip_derived_cl2])).
% 45.97/7.21 thf(zip_derived_cl21431, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (ld @ X1 @ unit) @ (rd @ X1 @ X0))
% 45.97/7.21 = (mult @ X0 @ (mult @ X0 @ X0)))),
% 45.97/7.21 inference('s_sup+', [status(thm)],
% 45.97/7.21 [zip_derived_cl21384, zip_derived_cl7438])).
% 45.97/7.21 thf(zip_derived_cl27709, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (ld @ (mult @ X0 @ X1) @ unit) @ X0)
% 45.97/7.21 = (mult @ X1 @ (mult @ X1 @ X1)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl21431])).
% 45.97/7.21 thf(zip_derived_cl92, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl4])).
% 45.97/7.21 thf(zip_derived_cl126, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X1 @ X0)) = (mult @ X0 @ (mult @ X1 @ X1)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl8])).
% 45.97/7.21 thf(zip_derived_cl241, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (mult @ X1 @ X0) @ (mult @ X1 @ (mult @ X0 @ X0)))
% 45.97/7.21 = (mult @ X0 @ (mult @ (mult @ X1 @ X0) @ (mult @ X1 @ X0))))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl126])).
% 45.97/7.21 thf(zip_derived_cl92, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl4])).
% 45.97/7.21 thf(zip_derived_cl7514, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (mult @ X1 @ X0) @
% 45.97/7.21 (mult @ (mult @ X1 @ (mult @ X0 @ X0)) @
% 45.97/7.21 (mult @ X1 @ (mult @ X0 @ X0))))
% 45.97/7.21 = (mult @
% 45.97/7.21 (mult @ X0 @ (mult @ (mult @ X1 @ X0) @ (mult @ X1 @ X0))) @
% 45.97/7.21 (mult @ X1 @ (mult @ X0 @ X0))))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl241, zip_derived_cl92])).
% 45.97/7.21 thf(zip_derived_cl238, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 45.97/7.21 = (mult @ (mult @ X0 @ (mult @ X1 @ X1)) @ X2))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl92])).
% 45.97/7.21 thf(zip_derived_cl3043, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X0 @ X1) = (mult @ X0 @ (mult @ X1 @ (mult @ X0 @ X0))))),
% 45.97/7.21 inference('s_sup+', [status(thm)],
% 45.97/7.21 [zip_derived_cl126, zip_derived_cl2764])).
% 45.97/7.21 thf(zip_derived_cl0, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c01])).
% 45.97/7.21 thf(zip_derived_cl126, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ (mult @ X1 @ X0)) = (mult @ X0 @ (mult @ X1 @ X1)))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl8])).
% 45.97/7.21 thf(zip_derived_cl2764, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X1 @ X0) = (mult @ X1 @ (mult @ X1 @ (mult @ X1 @ X0))))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl238, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 45.97/7.21 = (mult @ (mult @ X0 @ (mult @ X1 @ X1)) @ X2))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl92])).
% 45.97/7.21 thf(zip_derived_cl241, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (mult @ X1 @ X0) @ (mult @ X1 @ (mult @ X0 @ X0)))
% 45.97/7.21 = (mult @ X0 @ (mult @ (mult @ X1 @ X0) @ (mult @ X1 @ X0))))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl126])).
% 45.97/7.21 thf(zip_derived_cl3043, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X0 @ X1) = (mult @ X0 @ (mult @ X1 @ (mult @ X0 @ X0))))),
% 45.97/7.21 inference('s_sup+', [status(thm)],
% 45.97/7.21 [zip_derived_cl126, zip_derived_cl2764])).
% 45.97/7.21 thf(zip_derived_cl7727, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X1 @ X0) = (mult @ X0 @ (ld @ (mult @ X1 @ X0) @ X0)))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl7514, zip_derived_cl238, zip_derived_cl3043,
% 45.97/7.21 zip_derived_cl0, zip_derived_cl126, zip_derived_cl2764,
% 45.97/7.21 zip_derived_cl238, zip_derived_cl241, zip_derived_cl3043])).
% 45.97/7.21 thf(zip_derived_cl34806, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ (ld @ (mult @ X1 @ X0) @ unit) @ X1)
% 45.97/7.21 = (mult @ X1 @ (ld @ (mult @ X0 @ (mult @ X0 @ X0)) @ X1)))),
% 45.97/7.21 inference('s_sup+', [status(thm)],
% 45.97/7.21 [zip_derived_cl27709, zip_derived_cl7727])).
% 45.97/7.21 thf(zip_derived_cl1284, plain,
% 45.97/7.21 (![X0 : $i]: ((ld @ (ld @ X0 @ unit) @ unit) = (X0))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl1274, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl6803, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ X0 @ X1) = (mult @ (ld @ X0 @ unit) @ X1))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl6751, zip_derived_cl2764])).
% 45.97/7.21 thf(zip_derived_cl7100, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((ld @ (ld @ X0 @ unit) @ X1) = (mult @ X0 @ X1))),
% 45.97/7.21 inference('s_sup+', [status(thm)],
% 45.97/7.21 [zip_derived_cl1284, zip_derived_cl6803])).
% 45.97/7.21 thf(zip_derived_cl2764, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((ld @ X1 @ X0) = (mult @ X1 @ (mult @ X1 @ (mult @ X1 @ X0))))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 45.97/7.21 thf(zip_derived_cl7, plain,
% 45.97/7.21 (![X0 : $i]: ((mult @ X0 @ (mult @ X0 @ (mult @ X0 @ X0))) = (unit))),
% 45.97/7.21 inference('cnf', [status(esa)], [c08])).
% 45.97/7.21 thf(zip_derived_cl6, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.97/7.21 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 45.97/7.21 = (mult @ (mult @ (mult @ X0 @ X1) @ X1) @ X2))),
% 45.97/7.21 inference('cnf', [status(esa)], [c07])).
% 45.97/7.21 thf(zip_derived_cl74, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @
% 45.97/7.21 (mult @ (mult @ X1 @ (mult @ X1 @ X1)) @
% 45.97/7.21 (mult @ (mult @ X1 @ (mult @ X1 @ X1)) @ X0)))
% 45.97/7.21 = (mult @ (mult @ unit @ (mult @ X1 @ (mult @ X1 @ X1))) @ X0))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 45.97/7.21 thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c06])).
% 45.97/7.21 thf(zip_derived_cl84, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @
% 45.97/7.21 (mult @ (mult @ X1 @ (mult @ X1 @ X1)) @
% 45.97/7.21 (mult @ (mult @ X1 @ (mult @ X1 @ X1)) @ X0)))
% 45.97/7.21 = (mult @ (mult @ X1 @ (mult @ X1 @ X1)) @ X0))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl5])).
% 45.97/7.21 thf(zip_derived_cl3035, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @
% 45.97/7.21 (mult @ (mult @ X1 @ (mult @ X1 @ X1)) @
% 45.97/7.21 (ld @ (mult @ X1 @ (mult @ X1 @ X1)) @ X0)))
% 45.97/7.21 = (ld @ (mult @ X1 @ (mult @ X1 @ X1)) @ X0))),
% 45.97/7.21 inference('s_sup+', [status(thm)], [zip_derived_cl2764, zip_derived_cl84])).
% 45.97/7.21 thf(zip_derived_cl0, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 45.97/7.21 inference('cnf', [status(esa)], [c01])).
% 45.97/7.21 thf(zip_derived_cl3153, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ X1 @ X0) = (ld @ (mult @ X1 @ (mult @ X1 @ X1)) @ X0))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl3035, zip_derived_cl0])).
% 45.97/7.21 thf(zip_derived_cl34901, plain,
% 45.97/7.21 (![X0 : $i, X1 : $i]:
% 45.97/7.21 ((mult @ (mult @ X1 @ X0) @ X1) = (mult @ X1 @ (mult @ X0 @ X1)))),
% 45.97/7.21 inference('demod', [status(thm)],
% 45.97/7.21 [zip_derived_cl34806, zip_derived_cl7100, zip_derived_cl3153])).
% 45.97/7.21 thf(zip_derived_cl35098, plain,
% 45.97/7.21 (((mult @ a @ (mult @ b @ a)) != (mult @ a @ (mult @ b @ a)))),
% 45.97/7.21 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl34901])).
% 45.97/7.21 thf(zip_derived_cl35099, plain, ($false),
% 45.97/7.21 inference('simplify', [status(thm)], [zip_derived_cl35098])).
% 45.97/7.21
% 45.97/7.21 % SZS output end Refutation
% 45.97/7.21
% 45.97/7.21
% 45.97/7.21 % Terminating...
% 45.97/7.27 % Runner terminated.
% 45.97/7.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------