TSTP Solution File: GRP660-13 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP660-13 : TPTP v8.1.2. Released v8.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dmP42b4hfu true
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:52:46 EDT 2023
% Result : Unsatisfiable 83.98s 12.62s
% Output : Refutation 83.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP660-13 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dmP42b4hfu true
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 21:07:10 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 83.98/12.62 % Solved by fo/fo4.sh.
% 83.98/12.62 % done 1126 iterations in 11.816s
% 83.98/12.62 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 83.98/12.62 % SZS output start Refutation
% 83.98/12.62 thf(ld_type, type, ld: $i > $i > $i).
% 83.98/12.62 thf(rd_type, type, rd: $i > $i > $i).
% 83.98/12.62 thf(mult_type, type, mult: $i > $i > $i).
% 83.98/12.62 thf(x1_type, type, x1: $i).
% 83.98/12.62 thf(x0_type, type, x0: $i).
% 83.98/12.62 thf(goal, conjecture, (( mult @ x0 @ ( ld @ x1 @ x1 ) ) = ( x0 ))).
% 83.98/12.62 thf(zf_stmt_0, negated_conjecture,
% 83.98/12.62 (( mult @ x0 @ ( ld @ x1 @ x1 ) ) != ( x0 )),
% 83.98/12.62 inference('cnf.neg', [status(esa)], [goal])).
% 83.98/12.62 thf(zip_derived_cl5, plain, (((mult @ x0 @ (ld @ x1 @ x1)) != (x0))),
% 83.98/12.62 inference('cnf', [status(esa)], [zf_stmt_0])).
% 83.98/12.62 thf(f01, axiom, (( mult @ A @ ( ld @ A @ B ) ) = ( B ))).
% 83.98/12.62 thf(zip_derived_cl0, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f01])).
% 83.98/12.62 thf(zip_derived_cl0, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f01])).
% 83.98/12.62 thf(f05, axiom,
% 83.98/12.62 (( mult @ ( mult @ ( mult @ A @ B ) @ C ) @ A ) =
% 83.98/12.62 ( mult @ A @ ( mult @ B @ ( mult @ C @ A ) ) ))).
% 83.98/12.62 thf(zip_derived_cl4, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.62 ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X0)
% 83.98/12.62 = (mult @ X0 @ (mult @ X1 @ (mult @ X2 @ X0))))),
% 83.98/12.62 inference('cnf', [status(esa)], [f05])).
% 83.98/12.62 thf(zip_derived_cl18, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.62 ((mult @ (mult @ X0 @ X2) @ X1)
% 83.98/12.62 = (mult @ X1 @ (mult @ (ld @ X1 @ X0) @ (mult @ X2 @ X1))))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 83.98/12.62 thf(f02, axiom, (( ld @ A @ ( mult @ A @ B ) ) = ( B ))).
% 83.98/12.62 thf(zip_derived_cl1, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f02])).
% 83.98/12.62 thf(zip_derived_cl56, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.62 ((ld @ X0 @ (mult @ (mult @ X2 @ X1) @ X0))
% 83.98/12.62 = (mult @ (ld @ X0 @ X2) @ (mult @ X1 @ X0)))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 83.98/12.62 thf(zip_derived_cl1, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f02])).
% 83.98/12.62 thf(zip_derived_cl106, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((mult @ (ld @ (mult @ X1 @ X0) @ X1) @ (mult @ X0 @ (mult @ X1 @ X0)))
% 83.98/12.62 = (mult @ X1 @ X0))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl1])).
% 83.98/12.62 thf(zip_derived_cl136, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((mult @ (ld @ (mult @ X1 @ (ld @ X1 @ X0)) @ X1) @
% 83.98/12.62 (mult @ (ld @ X1 @ X0) @ X0)) = (mult @ X1 @ (ld @ X1 @ X0)))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl106])).
% 83.98/12.62 thf(zip_derived_cl0, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f01])).
% 83.98/12.62 thf(zip_derived_cl0, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f01])).
% 83.98/12.62 thf(zip_derived_cl148, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((mult @ (ld @ X0 @ X1) @ (mult @ (ld @ X1 @ X0) @ X0)) = (X0))),
% 83.98/12.62 inference('demod', [status(thm)],
% 83.98/12.62 [zip_derived_cl136, zip_derived_cl0, zip_derived_cl0])).
% 83.98/12.62 thf(zip_derived_cl0, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f01])).
% 83.98/12.62 thf(zip_derived_cl4, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.62 ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X0)
% 83.98/12.62 = (mult @ X0 @ (mult @ X1 @ (mult @ X2 @ X0))))),
% 83.98/12.62 inference('cnf', [status(esa)], [f05])).
% 83.98/12.62 thf(zip_derived_cl1, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f02])).
% 83.98/12.62 thf(zip_derived_cl12, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.62 ((ld @ (mult @ (mult @ X0 @ X2) @ X1) @
% 83.98/12.62 (mult @ X0 @ (mult @ X2 @ (mult @ X1 @ X0)))) = (X0))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 83.98/12.62 thf(zip_derived_cl31, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.62 ((ld @ (mult @ (mult @ (ld @ X1 @ X0) @ X2) @ X1) @
% 83.98/12.62 (mult @ (ld @ X1 @ X0) @ (mult @ X2 @ X0))) = (ld @ X1 @ X0))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl12])).
% 83.98/12.62 thf(zip_derived_cl6252, plain,
% 83.98/12.62 (![X0 : $i]:
% 83.98/12.62 ((ld @ (mult @ (mult @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)) @ X0) @ X0)
% 83.98/12.62 = (ld @ X0 @ X0))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl31])).
% 83.98/12.62 thf(zip_derived_cl0, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f01])).
% 83.98/12.62 thf(f04, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 83.98/12.62 thf(zip_derived_cl3, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f04])).
% 83.98/12.62 thf(zip_derived_cl10, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((rd @ X0 @ (ld @ X1 @ X0)) = (X1))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 83.98/12.62 thf(zip_derived_cl6424, plain,
% 83.98/12.62 (![X0 : $i]:
% 83.98/12.62 ((rd @ X0 @ (ld @ X0 @ X0))
% 83.98/12.62 = (mult @ (mult @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)) @ X0))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl6252, zip_derived_cl10])).
% 83.98/12.62 thf(zip_derived_cl10, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((rd @ X0 @ (ld @ X1 @ X0)) = (X1))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 83.98/12.62 thf(zip_derived_cl6484, plain,
% 83.98/12.62 (![X0 : $i]:
% 83.98/12.62 ((X0) = (mult @ (mult @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)) @ X0))),
% 83.98/12.62 inference('demod', [status(thm)], [zip_derived_cl6424, zip_derived_cl10])).
% 83.98/12.62 thf(zip_derived_cl3, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f04])).
% 83.98/12.62 thf(zip_derived_cl6542, plain,
% 83.98/12.62 (![X0 : $i]: ((rd @ X0 @ X0) = (mult @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl6484, zip_derived_cl3])).
% 83.98/12.62 thf(zip_derived_cl0, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f01])).
% 83.98/12.62 thf(zip_derived_cl0, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f01])).
% 83.98/12.62 thf(zip_derived_cl4, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.62 ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X0)
% 83.98/12.62 = (mult @ X0 @ (mult @ X1 @ (mult @ X2 @ X0))))),
% 83.98/12.62 inference('cnf', [status(esa)], [f05])).
% 83.98/12.62 thf(zip_derived_cl16, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.62 ((mult @ X0 @ X1)
% 83.98/12.62 = (mult @ X1 @
% 83.98/12.62 (mult @ X2 @ (mult @ (ld @ (mult @ X1 @ X2) @ X0) @ X1))))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 83.98/12.62 thf(zip_derived_cl1, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f02])).
% 83.98/12.62 thf(zip_derived_cl39, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.62 ((ld @ X0 @ (mult @ X1 @ X0))
% 83.98/12.62 = (mult @ X2 @ (mult @ (ld @ (mult @ X0 @ X2) @ X1) @ X0)))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 83.98/12.62 thf(zip_derived_cl97, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.62 ((ld @ X1 @ (mult @ X2 @ X1))
% 83.98/12.62 = (mult @ (ld @ X1 @ X0) @ (mult @ (ld @ X0 @ X2) @ X1)))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl39])).
% 83.98/12.62 thf(zip_derived_cl1, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f02])).
% 83.98/12.62 thf(f03, axiom, (( mult @ ( rd @ A @ B ) @ B ) = ( A ))).
% 83.98/12.62 thf(zip_derived_cl2, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f03])).
% 83.98/12.62 thf(zip_derived_cl1, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f02])).
% 83.98/12.62 thf(zip_derived_cl8, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((ld @ (rd @ X0 @ X1) @ X0) = (X1))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 83.98/12.62 thf(zip_derived_cl148, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((mult @ (ld @ X0 @ X1) @ (mult @ (ld @ X1 @ X0) @ X0)) = (X0))),
% 83.98/12.62 inference('demod', [status(thm)],
% 83.98/12.62 [zip_derived_cl136, zip_derived_cl0, zip_derived_cl0])).
% 83.98/12.62 thf(zip_derived_cl3, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f04])).
% 83.98/12.62 thf(zip_derived_cl166, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((rd @ X0 @ (mult @ (ld @ X1 @ X0) @ X0)) = (ld @ X0 @ X1))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl3])).
% 83.98/12.62 thf(zip_derived_cl203, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((rd @ X1 @ (mult @ X0 @ X1)) = (ld @ X1 @ (rd @ X1 @ X0)))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl166])).
% 83.98/12.62 thf(zip_derived_cl2, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f03])).
% 83.98/12.62 thf(zip_derived_cl97, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.62 ((ld @ X1 @ (mult @ X2 @ X1))
% 83.98/12.62 = (mult @ (ld @ X1 @ X0) @ (mult @ (ld @ X0 @ X2) @ X1)))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl39])).
% 83.98/12.62 thf(zip_derived_cl1, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f02])).
% 83.98/12.62 thf(zip_derived_cl500, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.62 ((ld @ (ld @ X0 @ X2) @ (ld @ X0 @ (mult @ X1 @ X0)))
% 83.98/12.62 = (mult @ (ld @ X2 @ X1) @ X0))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl1])).
% 83.98/12.62 thf(zip_derived_cl1602, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.62 ((ld @ (ld @ X1 @ X2) @ (ld @ X1 @ X0))
% 83.98/12.62 = (mult @ (ld @ X2 @ (rd @ X0 @ X1)) @ X1))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl500])).
% 83.98/12.62 thf(zip_derived_cl1797, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((ld @ (ld @ X1 @ X0) @ (ld @ X1 @ X0))
% 83.98/12.62 = (mult @ (rd @ X0 @ (mult @ X1 @ X0)) @ X1))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl1602])).
% 83.98/12.62 thf(zip_derived_cl1853, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((ld @ (ld @ X1 @ (mult @ X1 @ X0)) @ X0)
% 83.98/12.62 = (mult @
% 83.98/12.62 (rd @ (mult @ X1 @ X0) @ (mult @ X1 @ (mult @ X1 @ X0))) @ X1))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1797])).
% 83.98/12.62 thf(zip_derived_cl1, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f02])).
% 83.98/12.62 thf(zip_derived_cl1887, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((ld @ X0 @ X0)
% 83.98/12.62 = (mult @
% 83.98/12.62 (rd @ (mult @ X1 @ X0) @ (mult @ X1 @ (mult @ X1 @ X0))) @ X1))),
% 83.98/12.62 inference('demod', [status(thm)], [zip_derived_cl1853, zip_derived_cl1])).
% 83.98/12.62 thf(zip_derived_cl11732, plain,
% 83.98/12.62 (![X0 : $i]:
% 83.98/12.62 ((ld @ X0 @ X0)
% 83.98/12.62 = (mult @
% 83.98/12.62 (rd @ (mult @ (ld @ X0 @ X0) @ X0) @ (ld @ X0 @ (mult @ X0 @ X0))) @
% 83.98/12.62 (ld @ X0 @ X0)))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl1887])).
% 83.98/12.62 thf(zip_derived_cl1, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f02])).
% 83.98/12.62 thf(zip_derived_cl3, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f04])).
% 83.98/12.62 thf(zip_derived_cl6542, plain,
% 83.98/12.62 (![X0 : $i]: ((rd @ X0 @ X0) = (mult @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl6484, zip_derived_cl3])).
% 83.98/12.62 thf(zip_derived_cl11808, plain,
% 83.98/12.62 (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 83.98/12.62 inference('demod', [status(thm)],
% 83.98/12.62 [zip_derived_cl11732, zip_derived_cl1, zip_derived_cl3,
% 83.98/12.62 zip_derived_cl6542])).
% 83.98/12.62 thf(zip_derived_cl11909, plain,
% 83.98/12.62 (![X0 : $i]: ((ld @ X0 @ X0) = (mult @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)))),
% 83.98/12.62 inference('demod', [status(thm)],
% 83.98/12.62 [zip_derived_cl6542, zip_derived_cl11808])).
% 83.98/12.62 thf(zip_derived_cl1, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f02])).
% 83.98/12.62 thf(zip_derived_cl12759, plain,
% 83.98/12.62 (![X0 : $i]: ((ld @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)) = (ld @ X0 @ X0))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl11909, zip_derived_cl1])).
% 83.98/12.62 thf(zip_derived_cl11808, plain,
% 83.98/12.62 (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 83.98/12.62 inference('demod', [status(thm)],
% 83.98/12.62 [zip_derived_cl11732, zip_derived_cl1, zip_derived_cl3,
% 83.98/12.62 zip_derived_cl6542])).
% 83.98/12.62 thf(zip_derived_cl2, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f03])).
% 83.98/12.62 thf(zip_derived_cl11921, plain,
% 83.98/12.62 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl11808, zip_derived_cl2])).
% 83.98/12.62 thf(zip_derived_cl1, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f02])).
% 83.98/12.62 thf(zip_derived_cl148, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((mult @ (ld @ X0 @ X1) @ (mult @ (ld @ X1 @ X0) @ X0)) = (X0))),
% 83.98/12.62 inference('demod', [status(thm)],
% 83.98/12.62 [zip_derived_cl136, zip_derived_cl0, zip_derived_cl0])).
% 83.98/12.62 thf(zip_derived_cl1, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f02])).
% 83.98/12.62 thf(zip_derived_cl162, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((ld @ (ld @ X0 @ X1) @ X0) = (mult @ (ld @ X1 @ X0) @ X0))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl1])).
% 83.98/12.62 thf(zip_derived_cl192, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((ld @ X0 @ X1) = (mult @ (ld @ (mult @ X1 @ X0) @ X1) @ X1))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl162])).
% 83.98/12.62 thf(zip_derived_cl12011, plain,
% 83.98/12.62 (![X0 : $i]:
% 83.98/12.62 ((ld @ X0 @ (ld @ X0 @ X0))
% 83.98/12.62 = (mult @ (ld @ X0 @ (ld @ X0 @ X0)) @ (ld @ X0 @ X0)))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl11921, zip_derived_cl192])).
% 83.98/12.62 thf(zip_derived_cl6542, plain,
% 83.98/12.62 (![X0 : $i]: ((rd @ X0 @ X0) = (mult @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl6484, zip_derived_cl3])).
% 83.98/12.62 thf(zip_derived_cl192, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((ld @ X0 @ X1) = (mult @ (ld @ (mult @ X1 @ X0) @ X1) @ X1))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl162])).
% 83.98/12.62 thf(zip_derived_cl18, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.62 ((mult @ (mult @ X0 @ X2) @ X1)
% 83.98/12.62 = (mult @ X1 @ (mult @ (ld @ X1 @ X0) @ (mult @ X2 @ X1))))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 83.98/12.62 thf(zip_derived_cl228, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.62 ((mult @ (mult @ X2 @ (ld @ (mult @ X0 @ X1) @ X0)) @ X0)
% 83.98/12.62 = (mult @ X0 @ (mult @ (ld @ X0 @ X2) @ (ld @ X1 @ X0))))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl192, zip_derived_cl18])).
% 83.98/12.62 thf(zip_derived_cl6774, plain,
% 83.98/12.62 (![X0 : $i]:
% 83.98/12.62 ((mult @ (mult @ X0 @ (ld @ (mult @ X0 @ X0) @ X0)) @ X0)
% 83.98/12.62 = (mult @ X0 @ (rd @ X0 @ X0)))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl6542, zip_derived_cl228])).
% 83.98/12.62 thf(zip_derived_cl11808, plain,
% 83.98/12.62 (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 83.98/12.62 inference('demod', [status(thm)],
% 83.98/12.62 [zip_derived_cl11732, zip_derived_cl1, zip_derived_cl3,
% 83.98/12.62 zip_derived_cl6542])).
% 83.98/12.62 thf(zip_derived_cl0, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f01])).
% 83.98/12.62 thf(zip_derived_cl11912, plain,
% 83.98/12.62 (![X0 : $i]:
% 83.98/12.62 ((mult @ (mult @ X0 @ (ld @ (mult @ X0 @ X0) @ X0)) @ X0) = (X0))),
% 83.98/12.62 inference('demod', [status(thm)],
% 83.98/12.62 [zip_derived_cl6774, zip_derived_cl11808, zip_derived_cl0])).
% 83.98/12.62 thf(zip_derived_cl106, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((mult @ (ld @ (mult @ X1 @ X0) @ X1) @ (mult @ X0 @ (mult @ X1 @ X0)))
% 83.98/12.62 = (mult @ X1 @ X0))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl1])).
% 83.98/12.62 thf(zip_derived_cl3, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f04])).
% 83.98/12.62 thf(zip_derived_cl125, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((rd @ (mult @ X1 @ X0) @ (mult @ X0 @ (mult @ X1 @ X0)))
% 83.98/12.62 = (ld @ (mult @ X1 @ X0) @ X1))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl106, zip_derived_cl3])).
% 83.98/12.62 thf(zip_derived_cl12934, plain,
% 83.98/12.62 (![X0 : $i]:
% 83.98/12.62 ((rd @ (mult @ (mult @ X0 @ (ld @ (mult @ X0 @ X0) @ X0)) @ X0) @
% 83.98/12.62 (mult @ X0 @ X0))
% 83.98/12.62 = (ld @ (mult @ (mult @ X0 @ (ld @ (mult @ X0 @ X0) @ X0)) @ X0) @
% 83.98/12.62 (mult @ X0 @ (ld @ (mult @ X0 @ X0) @ X0))))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl11912, zip_derived_cl125])).
% 83.98/12.62 thf(zip_derived_cl11912, plain,
% 83.98/12.62 (![X0 : $i]:
% 83.98/12.62 ((mult @ (mult @ X0 @ (ld @ (mult @ X0 @ X0) @ X0)) @ X0) = (X0))),
% 83.98/12.62 inference('demod', [status(thm)],
% 83.98/12.62 [zip_derived_cl6774, zip_derived_cl11808, zip_derived_cl0])).
% 83.98/12.62 thf(zip_derived_cl11808, plain,
% 83.98/12.62 (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 83.98/12.62 inference('demod', [status(thm)],
% 83.98/12.62 [zip_derived_cl11732, zip_derived_cl1, zip_derived_cl3,
% 83.98/12.62 zip_derived_cl6542])).
% 83.98/12.62 thf(zip_derived_cl203, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]:
% 83.98/12.62 ((rd @ X1 @ (mult @ X0 @ X1)) = (ld @ X1 @ (rd @ X1 @ X0)))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl166])).
% 83.98/12.62 thf(zip_derived_cl11940, plain,
% 83.98/12.62 (![X0 : $i]: ((rd @ X0 @ (mult @ X0 @ X0)) = (ld @ X0 @ (ld @ X0 @ X0)))),
% 83.98/12.62 inference('sup+', [status(thm)], [zip_derived_cl11808, zip_derived_cl203])).
% 83.98/12.62 thf(zip_derived_cl11912, plain,
% 83.98/12.62 (![X0 : $i]:
% 83.98/12.62 ((mult @ (mult @ X0 @ (ld @ (mult @ X0 @ X0) @ X0)) @ X0) = (X0))),
% 83.98/12.62 inference('demod', [status(thm)],
% 83.98/12.62 [zip_derived_cl6774, zip_derived_cl11808, zip_derived_cl0])).
% 83.98/12.62 thf(zip_derived_cl1, plain,
% 83.98/12.62 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.62 inference('cnf', [status(esa)], [f02])).
% 83.98/12.62 thf(zip_derived_cl13036, plain,
% 83.98/12.62 (![X0 : $i]: ((ld @ X0 @ (ld @ X0 @ X0)) = (ld @ (mult @ X0 @ X0) @ X0))),
% 83.98/12.62 inference('demod', [status(thm)],
% 83.98/12.62 [zip_derived_cl12934, zip_derived_cl11912,
% 83.98/12.62 zip_derived_cl11940, zip_derived_cl11912, zip_derived_cl1])).
% 83.98/12.62 thf(zip_derived_cl13036, plain,
% 83.98/12.62 (![X0 : $i]: ((ld @ X0 @ (ld @ X0 @ X0)) = (ld @ (mult @ X0 @ X0) @ X0))),
% 83.98/12.62 inference('demod', [status(thm)],
% 83.98/12.62 [zip_derived_cl12934, zip_derived_cl11912,
% 83.98/12.62 zip_derived_cl11940, zip_derived_cl11912, zip_derived_cl1])).
% 83.98/12.62 thf(zip_derived_cl18220, plain,
% 83.98/12.62 (![X0 : $i]:
% 83.98/12.63 ((ld @ (mult @ X0 @ X0) @ X0)
% 83.98/12.63 = (mult @ (ld @ (mult @ X0 @ X0) @ X0) @ (ld @ X0 @ X0)))),
% 83.98/12.63 inference('demod', [status(thm)],
% 83.98/12.63 [zip_derived_cl12011, zip_derived_cl13036, zip_derived_cl13036])).
% 83.98/12.63 thf(zip_derived_cl203, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]:
% 83.98/12.63 ((rd @ X1 @ (mult @ X0 @ X1)) = (ld @ X1 @ (rd @ X1 @ X0)))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl166])).
% 83.98/12.63 thf(zip_derived_cl1, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.63 inference('cnf', [status(esa)], [f02])).
% 83.98/12.63 thf(zip_derived_cl1602, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.63 ((ld @ (ld @ X1 @ X2) @ (ld @ X1 @ X0))
% 83.98/12.63 = (mult @ (ld @ X2 @ (rd @ X0 @ X1)) @ X1))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl500])).
% 83.98/12.63 thf(zip_derived_cl3, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 83.98/12.63 inference('cnf', [status(esa)], [f04])).
% 83.98/12.63 thf(zip_derived_cl1775, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.63 ((rd @ (ld @ (ld @ X1 @ X2) @ (ld @ X1 @ X0)) @ X1)
% 83.98/12.63 = (ld @ X2 @ (rd @ X0 @ X1)))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl1602, zip_derived_cl3])).
% 83.98/12.63 thf(zip_derived_cl8111, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.63 ((rd @ (ld @ (ld @ X1 @ X2) @ X0) @ X1)
% 83.98/12.63 = (ld @ X2 @ (rd @ (mult @ X1 @ X0) @ X1)))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1775])).
% 83.98/12.63 thf(zip_derived_cl8249, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.63 ((rd @ (ld @ (rd @ X0 @ (mult @ X1 @ X0)) @ X2) @ X0)
% 83.98/12.63 = (ld @ (rd @ X0 @ X1) @ (rd @ (mult @ X0 @ X2) @ X0)))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl8111])).
% 83.98/12.63 thf(zip_derived_cl58849, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]:
% 83.98/12.63 ((rd @
% 83.98/12.63 (ld @ (rd @ (ld @ X0 @ X0) @ (ld @ (mult @ X0 @ X0) @ X0)) @ X1) @
% 83.98/12.63 (ld @ X0 @ X0))
% 83.98/12.63 = (ld @ (rd @ (ld @ X0 @ X0) @ (ld @ (mult @ X0 @ X0) @ X0)) @
% 83.98/12.63 (rd @ (mult @ (ld @ X0 @ X0) @ X1) @ (ld @ X0 @ X0))))),
% 83.98/12.63 inference('sup+', [status(thm)],
% 83.98/12.63 [zip_derived_cl18220, zip_derived_cl8249])).
% 83.98/12.63 thf(zip_derived_cl6542, plain,
% 83.98/12.63 (![X0 : $i]: ((rd @ X0 @ X0) = (mult @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl6484, zip_derived_cl3])).
% 83.98/12.63 thf(zip_derived_cl192, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]:
% 83.98/12.63 ((ld @ X0 @ X1) = (mult @ (ld @ (mult @ X1 @ X0) @ X1) @ X1))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl162])).
% 83.98/12.63 thf(zip_derived_cl4, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.63 ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X0)
% 83.98/12.63 = (mult @ X0 @ (mult @ X1 @ (mult @ X2 @ X0))))),
% 83.98/12.63 inference('cnf', [status(esa)], [f05])).
% 83.98/12.63 thf(zip_derived_cl3, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 83.98/12.63 inference('cnf', [status(esa)], [f04])).
% 83.98/12.63 thf(zip_derived_cl13, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.63 ((rd @ (mult @ X0 @ (mult @ X2 @ (mult @ X1 @ X0))) @ X0)
% 83.98/12.63 = (mult @ (mult @ X0 @ X2) @ X1))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 83.98/12.63 thf(zip_derived_cl374, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.63 ((rd @ (mult @ X0 @ (mult @ X2 @ (ld @ X1 @ X0))) @ X0)
% 83.98/12.63 = (mult @ (mult @ X0 @ X2) @ (ld @ (mult @ X0 @ X1) @ X0)))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl192, zip_derived_cl13])).
% 83.98/12.63 thf(zip_derived_cl6769, plain,
% 83.98/12.63 (![X0 : $i]:
% 83.98/12.63 ((rd @ (mult @ X0 @ (rd @ X0 @ X0)) @ X0)
% 83.98/12.63 = (mult @ (mult @ X0 @ (ld @ X0 @ X0)) @
% 83.98/12.63 (ld @ (mult @ X0 @ X0) @ X0)))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl6542, zip_derived_cl374])).
% 83.98/12.63 thf(zip_derived_cl0, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 83.98/12.63 inference('cnf', [status(esa)], [f01])).
% 83.98/12.63 thf(zip_derived_cl6820, plain,
% 83.98/12.63 (![X0 : $i]:
% 83.98/12.63 ((rd @ (mult @ X0 @ (rd @ X0 @ X0)) @ X0)
% 83.98/12.63 = (mult @ X0 @ (ld @ (mult @ X0 @ X0) @ X0)))),
% 83.98/12.63 inference('demod', [status(thm)], [zip_derived_cl6769, zip_derived_cl0])).
% 83.98/12.63 thf(zip_derived_cl11808, plain,
% 83.98/12.63 (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 83.98/12.63 inference('demod', [status(thm)],
% 83.98/12.63 [zip_derived_cl11732, zip_derived_cl1, zip_derived_cl3,
% 83.98/12.63 zip_derived_cl6542])).
% 83.98/12.63 thf(zip_derived_cl0, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 83.98/12.63 inference('cnf', [status(esa)], [f01])).
% 83.98/12.63 thf(zip_derived_cl11808, plain,
% 83.98/12.63 (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 83.98/12.63 inference('demod', [status(thm)],
% 83.98/12.63 [zip_derived_cl11732, zip_derived_cl1, zip_derived_cl3,
% 83.98/12.63 zip_derived_cl6542])).
% 83.98/12.63 thf(zip_derived_cl11913, plain,
% 83.98/12.63 (![X0 : $i]:
% 83.98/12.63 ((ld @ X0 @ X0) = (mult @ X0 @ (ld @ (mult @ X0 @ X0) @ X0)))),
% 83.98/12.63 inference('demod', [status(thm)],
% 83.98/12.63 [zip_derived_cl6820, zip_derived_cl11808, zip_derived_cl0,
% 83.98/12.63 zip_derived_cl11808])).
% 83.98/12.63 thf(zip_derived_cl3, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 83.98/12.63 inference('cnf', [status(esa)], [f04])).
% 83.98/12.63 thf(zip_derived_cl13112, plain,
% 83.98/12.63 (![X0 : $i]:
% 83.98/12.63 ((rd @ (ld @ X0 @ X0) @ (ld @ (mult @ X0 @ X0) @ X0)) = (X0))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl11913, zip_derived_cl3])).
% 83.98/12.63 thf(zip_derived_cl13112, plain,
% 83.98/12.63 (![X0 : $i]:
% 83.98/12.63 ((rd @ (ld @ X0 @ X0) @ (ld @ (mult @ X0 @ X0) @ X0)) = (X0))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl11913, zip_derived_cl3])).
% 83.98/12.63 thf(zip_derived_cl0, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 83.98/12.63 inference('cnf', [status(esa)], [f01])).
% 83.98/12.63 thf(zip_derived_cl2, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 83.98/12.63 inference('cnf', [status(esa)], [f03])).
% 83.98/12.63 thf(zip_derived_cl13, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.63 ((rd @ (mult @ X0 @ (mult @ X2 @ (mult @ X1 @ X0))) @ X0)
% 83.98/12.63 = (mult @ (mult @ X0 @ X2) @ X1))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 83.98/12.63 thf(zip_derived_cl367, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.63 ((rd @ (mult @ X2 @ X0) @ X2)
% 83.98/12.63 = (mult @ (mult @ X2 @ (rd @ X0 @ (mult @ X1 @ X2))) @ X1))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 83.98/12.63 thf(zip_derived_cl3692, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.63 ((rd @ (mult @ (ld @ X1 @ X0) @ X2) @ (ld @ X1 @ X0))
% 83.98/12.63 = (mult @ (mult @ (ld @ X1 @ X0) @ (rd @ X2 @ X0)) @ X1))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl367])).
% 83.98/12.63 thf(zip_derived_cl2, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 83.98/12.63 inference('cnf', [status(esa)], [f03])).
% 83.98/12.63 thf(zip_derived_cl18, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.63 ((mult @ (mult @ X0 @ X2) @ X1)
% 83.98/12.63 = (mult @ X1 @ (mult @ (ld @ X1 @ X0) @ (mult @ X2 @ X1))))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 83.98/12.63 thf(zip_derived_cl72, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.63 ((mult @ (mult @ X2 @ (rd @ X0 @ X1)) @ X1)
% 83.98/12.63 = (mult @ X1 @ (mult @ (ld @ X1 @ X2) @ X0)))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl18])).
% 83.98/12.63 thf(zip_derived_cl13036, plain,
% 83.98/12.63 (![X0 : $i]: ((ld @ X0 @ (ld @ X0 @ X0)) = (ld @ (mult @ X0 @ X0) @ X0))),
% 83.98/12.63 inference('demod', [status(thm)],
% 83.98/12.63 [zip_derived_cl12934, zip_derived_cl11912,
% 83.98/12.63 zip_derived_cl11940, zip_derived_cl11912, zip_derived_cl1])).
% 83.98/12.63 thf(zip_derived_cl1, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.63 inference('cnf', [status(esa)], [f02])).
% 83.98/12.63 thf(zip_derived_cl58926, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]:
% 83.98/12.63 ((rd @ (ld @ X0 @ X1) @ (ld @ X0 @ X0))
% 83.98/12.63 = (mult @ (ld @ (mult @ X0 @ X0) @ X0) @ X1))),
% 83.98/12.63 inference('demod', [status(thm)],
% 83.98/12.63 [zip_derived_cl58849, zip_derived_cl13112,
% 83.98/12.63 zip_derived_cl13112, zip_derived_cl3692, zip_derived_cl72,
% 83.98/12.63 zip_derived_cl13036, zip_derived_cl1])).
% 83.98/12.63 thf(zip_derived_cl2, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 83.98/12.63 inference('cnf', [status(esa)], [f03])).
% 83.98/12.63 thf(zip_derived_cl58957, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]:
% 83.98/12.63 ((mult @ (mult @ (ld @ (mult @ X1 @ X1) @ X1) @ X0) @ (ld @ X1 @ X1))
% 83.98/12.63 = (ld @ X1 @ X0))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl58926, zip_derived_cl2])).
% 83.98/12.63 thf(zip_derived_cl62192, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]:
% 83.98/12.63 ((mult @
% 83.98/12.63 (mult @
% 83.98/12.63 (ld @ (mult @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)) @ (ld @ X0 @ X0)) @
% 83.98/12.63 X1) @
% 83.98/12.63 (ld @ X0 @ X0)) = (ld @ (ld @ X0 @ X0) @ X1))),
% 83.98/12.63 inference('sup+', [status(thm)],
% 83.98/12.63 [zip_derived_cl12759, zip_derived_cl58957])).
% 83.98/12.63 thf(zip_derived_cl11909, plain,
% 83.98/12.63 (![X0 : $i]: ((ld @ X0 @ X0) = (mult @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)))),
% 83.98/12.63 inference('demod', [status(thm)],
% 83.98/12.63 [zip_derived_cl6542, zip_derived_cl11808])).
% 83.98/12.63 thf(zip_derived_cl12759, plain,
% 83.98/12.63 (![X0 : $i]: ((ld @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)) = (ld @ X0 @ X0))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl11909, zip_derived_cl1])).
% 83.98/12.63 thf(zip_derived_cl62247, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]:
% 83.98/12.63 ((mult @ (mult @ (ld @ X0 @ X0) @ X1) @ (ld @ X0 @ X0))
% 83.98/12.63 = (ld @ (ld @ X0 @ X0) @ X1))),
% 83.98/12.63 inference('demod', [status(thm)],
% 83.98/12.63 [zip_derived_cl62192, zip_derived_cl11909, zip_derived_cl12759])).
% 83.98/12.63 thf(zip_derived_cl11921, plain,
% 83.98/12.63 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl11808, zip_derived_cl2])).
% 83.98/12.63 thf(zip_derived_cl13, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.98/12.63 ((rd @ (mult @ X0 @ (mult @ X2 @ (mult @ X1 @ X0))) @ X0)
% 83.98/12.63 = (mult @ (mult @ X0 @ X2) @ X1))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 83.98/12.63 thf(zip_derived_cl11993, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]:
% 83.98/12.63 ((rd @ (mult @ X0 @ (mult @ X1 @ X0)) @ X0)
% 83.98/12.63 = (mult @ (mult @ X0 @ X1) @ (ld @ X0 @ X0)))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl11921, zip_derived_cl13])).
% 83.98/12.63 thf(zip_derived_cl63115, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]:
% 83.98/12.63 ((rd @ (mult @ (ld @ X1 @ X1) @ (ld @ (ld @ X1 @ X1) @ X0)) @
% 83.98/12.63 (ld @ X1 @ X1))
% 83.98/12.63 = (mult @ (mult @ (ld @ X1 @ X1) @ (mult @ (ld @ X1 @ X1) @ X0)) @
% 83.98/12.63 (ld @ (ld @ X1 @ X1) @ (ld @ X1 @ X1))))),
% 83.98/12.63 inference('sup+', [status(thm)],
% 83.98/12.63 [zip_derived_cl62247, zip_derived_cl11993])).
% 83.98/12.63 thf(zip_derived_cl0, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 83.98/12.63 inference('cnf', [status(esa)], [f01])).
% 83.98/12.63 thf(zip_derived_cl12759, plain,
% 83.98/12.63 (![X0 : $i]: ((ld @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)) = (ld @ X0 @ X0))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl11909, zip_derived_cl1])).
% 83.98/12.63 thf(zip_derived_cl62247, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]:
% 83.98/12.63 ((mult @ (mult @ (ld @ X0 @ X0) @ X1) @ (ld @ X0 @ X0))
% 83.98/12.63 = (ld @ (ld @ X0 @ X0) @ X1))),
% 83.98/12.63 inference('demod', [status(thm)],
% 83.98/12.63 [zip_derived_cl62192, zip_derived_cl11909, zip_derived_cl12759])).
% 83.98/12.63 thf(zip_derived_cl1, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 83.98/12.63 inference('cnf', [status(esa)], [f02])).
% 83.98/12.63 thf(zip_derived_cl63400, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((rd @ X0 @ (ld @ X1 @ X1)) = (X0))),
% 83.98/12.63 inference('demod', [status(thm)],
% 83.98/12.63 [zip_derived_cl63115, zip_derived_cl0, zip_derived_cl12759,
% 83.98/12.63 zip_derived_cl62247, zip_derived_cl1])).
% 83.98/12.63 thf(zip_derived_cl2, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 83.98/12.63 inference('cnf', [status(esa)], [f03])).
% 83.98/12.63 thf(zip_derived_cl63473, plain,
% 83.98/12.63 (![X0 : $i, X1 : $i]: ((mult @ X0 @ (ld @ X1 @ X1)) = (X0))),
% 83.98/12.63 inference('sup+', [status(thm)], [zip_derived_cl63400, zip_derived_cl2])).
% 83.98/12.63 thf(zip_derived_cl63648, plain, (((x0) != (x0))),
% 83.98/12.63 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl63473])).
% 83.98/12.63 thf(zip_derived_cl63649, plain, ($false),
% 83.98/12.63 inference('simplify', [status(thm)], [zip_derived_cl63648])).
% 83.98/12.63
% 83.98/12.63 % SZS output end Refutation
% 83.98/12.63
% 83.98/12.63
% 83.98/12.63 % Terminating...
% 84.11/12.72 % Runner terminated.
% 84.11/12.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------