TSTP Solution File: GRP660-11 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP660-11 : 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.Mlb6Dr245q true
% Computer : n029.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 60.54s 9.24s
% Output : Refutation 60.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP660-11 : TPTP v8.1.2. Released v8.1.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Mlb6Dr245q true
% 0.13/0.34 % Computer : n029.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 00:00:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 60.54/9.24 % Solved by fo/fo4.sh.
% 60.54/9.24 % done 964 iterations in 8.453s
% 60.54/9.24 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 60.54/9.24 % SZS output start Refutation
% 60.54/9.24 thf(ld_type, type, ld: $i > $i > $i).
% 60.54/9.24 thf(rd_type, type, rd: $i > $i > $i).
% 60.54/9.24 thf(mult_type, type, mult: $i > $i > $i).
% 60.54/9.24 thf(x1_type, type, x1: $i).
% 60.54/9.24 thf(x0_type, type, x0: $i).
% 60.54/9.24 thf(f03, axiom, (( mult @ ( rd @ A @ B ) @ B ) = ( A ))).
% 60.54/9.24 thf(zip_derived_cl2, plain,
% 60.54/9.24 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.24 inference('cnf', [status(esa)], [f03])).
% 60.54/9.24 thf(zip_derived_cl2, plain,
% 60.54/9.24 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.24 inference('cnf', [status(esa)], [f03])).
% 60.54/9.24 thf(f05, axiom,
% 60.54/9.24 (( mult @ ( mult @ ( mult @ A @ B ) @ C ) @ A ) =
% 60.54/9.24 ( mult @ A @ ( mult @ B @ ( mult @ C @ A ) ) ))).
% 60.54/9.24 thf(zip_derived_cl4, plain,
% 60.54/9.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.24 ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X0)
% 60.54/9.24 = (mult @ X0 @ (mult @ X1 @ (mult @ X2 @ X0))))),
% 60.54/9.24 inference('cnf', [status(esa)], [f05])).
% 60.54/9.24 thf(f04, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 60.54/9.25 thf(zip_derived_cl3, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f04])).
% 60.54/9.25 thf(zip_derived_cl13, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((rd @ (mult @ X0 @ (mult @ X2 @ (mult @ X1 @ X0))) @ X0)
% 60.54/9.25 = (mult @ (mult @ X0 @ X2) @ X1))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl42, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((rd @ (mult @ X2 @ X0) @ X2)
% 60.54/9.25 = (mult @ (mult @ X2 @ (rd @ X0 @ (mult @ X1 @ X2))) @ X1))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 60.54/9.25 thf(zip_derived_cl63, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((rd @ (mult @ X1 @ X2) @ X1)
% 60.54/9.25 = (mult @ (mult @ X1 @ (rd @ X2 @ X0)) @ (rd @ X0 @ X1)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl42])).
% 60.54/9.25 thf(zip_derived_cl3, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f04])).
% 60.54/9.25 thf(f01, axiom, (( mult @ A @ ( ld @ A @ B ) ) = ( B ))).
% 60.54/9.25 thf(zip_derived_cl0, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f01])).
% 60.54/9.25 thf(zip_derived_cl3, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f04])).
% 60.54/9.25 thf(zip_derived_cl10, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ X0 @ (ld @ X1 @ X0)) = (X1))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl2, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f03])).
% 60.54/9.25 thf(zip_derived_cl2, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f03])).
% 60.54/9.25 thf(zip_derived_cl13, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((rd @ (mult @ X0 @ (mult @ X2 @ (mult @ X1 @ X0))) @ X0)
% 60.54/9.25 = (mult @ (mult @ X0 @ X2) @ X1))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl45, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((rd @ (mult @ X1 @ (mult @ X2 @ X0)) @ X1)
% 60.54/9.25 = (mult @ (mult @ X1 @ X2) @ (rd @ X0 @ X1)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 60.54/9.25 thf(zip_derived_cl3, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f04])).
% 60.54/9.25 thf(zip_derived_cl69, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((mult @ (mult @ (mult @ X1 @ X0) @ X1) @ (rd @ X0 @ (mult @ X1 @ X0)))
% 60.54/9.25 = (mult @ X1 @ X0))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl97, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((mult @ (mult @ (mult @ (rd @ X0 @ X1) @ X1) @ (rd @ X0 @ X1)) @
% 60.54/9.25 (rd @ X1 @ X0)) = (mult @ (rd @ X0 @ X1) @ X1))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl69])).
% 60.54/9.25 thf(zip_derived_cl2, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f03])).
% 60.54/9.25 thf(zip_derived_cl2, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f03])).
% 60.54/9.25 thf(zip_derived_cl108, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((mult @ (mult @ X0 @ (rd @ X0 @ X1)) @ (rd @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('demod', [status(thm)],
% 60.54/9.25 [zip_derived_cl97, zip_derived_cl2, zip_derived_cl2])).
% 60.54/9.25 thf(f02, axiom, (( ld @ A @ ( mult @ A @ B ) ) = ( B ))).
% 60.54/9.25 thf(zip_derived_cl1, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f02])).
% 60.54/9.25 thf(zip_derived_cl119, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((ld @ (mult @ X0 @ (rd @ X0 @ X1)) @ X0) = (rd @ X1 @ X0))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl1])).
% 60.54/9.25 thf(zip_derived_cl186, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((ld @ (mult @ X1 @ X0) @ X1) = (rd @ (ld @ X0 @ X1) @ X1))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl119])).
% 60.54/9.25 thf(zip_derived_cl0, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f01])).
% 60.54/9.25 thf(zip_derived_cl63, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((rd @ (mult @ X1 @ X2) @ X1)
% 60.54/9.25 = (mult @ (mult @ X1 @ (rd @ X2 @ X0)) @ (rd @ X0 @ X1)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl42])).
% 60.54/9.25 thf(zip_derived_cl3, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f04])).
% 60.54/9.25 thf(zip_derived_cl1001, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((rd @ (rd @ (mult @ X0 @ X1) @ X0) @ (rd @ X2 @ X0))
% 60.54/9.25 = (mult @ X0 @ (rd @ X1 @ X2)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl2376, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((rd @ (rd @ X0 @ X2) @ (rd @ X1 @ X2))
% 60.54/9.25 = (mult @ X2 @ (rd @ (ld @ X2 @ X0) @ X1)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1001])).
% 60.54/9.25 thf(zip_derived_cl2785, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((rd @ (rd @ X0 @ X1) @ (rd @ X0 @ X1))
% 60.54/9.25 = (mult @ X1 @ (ld @ (mult @ X0 @ X1) @ X0)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl186, zip_derived_cl2376])).
% 60.54/9.25 thf(zip_derived_cl2854, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((rd @ (rd @ (mult @ X0 @ X1) @ X1) @ X0)
% 60.54/9.25 = (mult @ X1 @
% 60.54/9.25 (ld @ (mult @ (mult @ X0 @ X1) @ X1) @ (mult @ X0 @ X1))))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2785])).
% 60.54/9.25 thf(zip_derived_cl3, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f04])).
% 60.54/9.25 thf(zip_derived_cl2892, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((rd @ X0 @ X0)
% 60.54/9.25 = (mult @ X1 @
% 60.54/9.25 (ld @ (mult @ (mult @ X0 @ X1) @ X1) @ (mult @ X0 @ X1))))),
% 60.54/9.25 inference('demod', [status(thm)], [zip_derived_cl2854, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl6814, plain,
% 60.54/9.25 (![X0 : $i]:
% 60.54/9.25 ((rd @ X0 @ X0)
% 60.54/9.25 = (mult @ (rd @ X0 @ X0) @
% 60.54/9.25 (ld @ (rd @ (mult @ X0 @ X0) @ X0) @ (mult @ X0 @ (rd @ X0 @ X0)))))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl2892])).
% 60.54/9.25 thf(zip_derived_cl3, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f04])).
% 60.54/9.25 thf(zip_derived_cl1, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f02])).
% 60.54/9.25 thf(zip_derived_cl6876, plain,
% 60.54/9.25 (![X0 : $i]: ((rd @ X0 @ X0) = (mult @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)))),
% 60.54/9.25 inference('demod', [status(thm)],
% 60.54/9.25 [zip_derived_cl6814, zip_derived_cl3, zip_derived_cl1])).
% 60.54/9.25 thf(zip_derived_cl2, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f03])).
% 60.54/9.25 thf(zip_derived_cl4, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X0)
% 60.54/9.25 = (mult @ X0 @ (mult @ X1 @ (mult @ X2 @ X0))))),
% 60.54/9.25 inference('cnf', [status(esa)], [f05])).
% 60.54/9.25 thf(zip_derived_cl20, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((mult @ (mult @ X0 @ X2) @ (rd @ X0 @ X1))
% 60.54/9.25 = (mult @ (rd @ X0 @ X1) @
% 60.54/9.25 (mult @ X1 @ (mult @ X2 @ (rd @ X0 @ X1)))))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 60.54/9.25 thf(zip_derived_cl6991, plain,
% 60.54/9.25 (![X0 : $i]:
% 60.54/9.25 ((mult @ (mult @ X0 @ (rd @ X0 @ X0)) @ (rd @ X0 @ X0))
% 60.54/9.25 = (mult @ (rd @ X0 @ X0) @ (mult @ X0 @ (rd @ X0 @ X0))))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl6876, zip_derived_cl20])).
% 60.54/9.25 thf(zip_derived_cl108, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((mult @ (mult @ X0 @ (rd @ X0 @ X1)) @ (rd @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('demod', [status(thm)],
% 60.54/9.25 [zip_derived_cl97, zip_derived_cl2, zip_derived_cl2])).
% 60.54/9.25 thf(zip_derived_cl7046, plain,
% 60.54/9.25 (![X0 : $i]:
% 60.54/9.25 ((X0) = (mult @ (rd @ X0 @ X0) @ (mult @ X0 @ (rd @ X0 @ X0))))),
% 60.54/9.25 inference('demod', [status(thm)], [zip_derived_cl6991, zip_derived_cl108])).
% 60.54/9.25 thf(zip_derived_cl1, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f02])).
% 60.54/9.25 thf(zip_derived_cl7473, plain,
% 60.54/9.25 (![X0 : $i]: ((ld @ (rd @ X0 @ X0) @ X0) = (mult @ X0 @ (rd @ X0 @ X0)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl7046, zip_derived_cl1])).
% 60.54/9.25 thf(zip_derived_cl2, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f03])).
% 60.54/9.25 thf(zip_derived_cl1, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f02])).
% 60.54/9.25 thf(zip_derived_cl8, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((ld @ (rd @ X0 @ X1) @ X0) = (X1))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 60.54/9.25 thf(zip_derived_cl7563, plain,
% 60.54/9.25 (![X0 : $i]: ((X0) = (mult @ X0 @ (rd @ X0 @ X0)))),
% 60.54/9.25 inference('demod', [status(thm)], [zip_derived_cl7473, zip_derived_cl8])).
% 60.54/9.25 thf(zip_derived_cl6876, plain,
% 60.54/9.25 (![X0 : $i]: ((rd @ X0 @ X0) = (mult @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)))),
% 60.54/9.25 inference('demod', [status(thm)],
% 60.54/9.25 [zip_derived_cl6814, zip_derived_cl3, zip_derived_cl1])).
% 60.54/9.25 thf(zip_derived_cl7563, plain,
% 60.54/9.25 (![X0 : $i]: ((X0) = (mult @ X0 @ (rd @ X0 @ X0)))),
% 60.54/9.25 inference('demod', [status(thm)], [zip_derived_cl7473, zip_derived_cl8])).
% 60.54/9.25 thf(zip_derived_cl2, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f03])).
% 60.54/9.25 thf(zip_derived_cl0, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f01])).
% 60.54/9.25 thf(zip_derived_cl4, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X0)
% 60.54/9.25 = (mult @ X0 @ (mult @ X1 @ (mult @ X2 @ X0))))),
% 60.54/9.25 inference('cnf', [status(esa)], [f05])).
% 60.54/9.25 thf(zip_derived_cl18, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((mult @ (mult @ X0 @ X2) @ X1)
% 60.54/9.25 = (mult @ X1 @ (mult @ (ld @ X1 @ X0) @ (mult @ X2 @ X1))))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 60.54/9.25 thf(zip_derived_cl1, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f02])).
% 60.54/9.25 thf(zip_derived_cl486, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((ld @ X0 @ (mult @ (mult @ X2 @ X1) @ X0))
% 60.54/9.25 = (mult @ (ld @ X0 @ X2) @ (mult @ X1 @ X0)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 60.54/9.25 thf(zip_derived_cl564, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((ld @ X1 @ (mult @ X0 @ X1))
% 60.54/9.25 = (mult @ (ld @ X1 @ (rd @ X0 @ X2)) @ (mult @ X2 @ X1)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl486])).
% 60.54/9.25 thf(zip_derived_cl7660, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((ld @ (rd @ X0 @ X0) @ (mult @ X1 @ (rd @ X0 @ X0)))
% 60.54/9.25 = (mult @ (ld @ (rd @ X0 @ X0) @ (rd @ X1 @ X0)) @ X0))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl7563, zip_derived_cl564])).
% 60.54/9.25 thf(zip_derived_cl8, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((ld @ (rd @ X0 @ X1) @ X0) = (X1))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 60.54/9.25 thf(zip_derived_cl0, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f01])).
% 60.54/9.25 thf(zip_derived_cl486, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((ld @ X0 @ (mult @ (mult @ X2 @ X1) @ X0))
% 60.54/9.25 = (mult @ (ld @ X0 @ X2) @ (mult @ X1 @ X0)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 60.54/9.25 thf(zip_derived_cl556, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((ld @ X1 @ (mult @ X0 @ X1))
% 60.54/9.25 = (mult @ (ld @ X1 @ X2) @ (mult @ (ld @ X2 @ X0) @ X1)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl486])).
% 60.54/9.25 thf(zip_derived_cl4592, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((ld @ (rd @ X1 @ X0) @ (mult @ X2 @ (rd @ X1 @ X0)))
% 60.54/9.25 = (mult @ X0 @ (mult @ (ld @ X1 @ X2) @ (rd @ X1 @ X0))))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl556])).
% 60.54/9.25 thf(zip_derived_cl2, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f03])).
% 60.54/9.25 thf(zip_derived_cl18, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((mult @ (mult @ X0 @ X2) @ X1)
% 60.54/9.25 = (mult @ X1 @ (mult @ (ld @ X1 @ X0) @ (mult @ X2 @ X1))))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 60.54/9.25 thf(zip_derived_cl523, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((mult @ (mult @ X2 @ (rd @ X0 @ X1)) @ X1)
% 60.54/9.25 = (mult @ X1 @ (mult @ (ld @ X1 @ X2) @ X0)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl18])).
% 60.54/9.25 thf(zip_derived_cl7563, plain,
% 60.54/9.25 (![X0 : $i]: ((X0) = (mult @ X0 @ (rd @ X0 @ X0)))),
% 60.54/9.25 inference('demod', [status(thm)], [zip_derived_cl7473, zip_derived_cl8])).
% 60.54/9.25 thf(zip_derived_cl69, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((mult @ (mult @ (mult @ X1 @ X0) @ X1) @ (rd @ X0 @ (mult @ X1 @ X0)))
% 60.54/9.25 = (mult @ X1 @ X0))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl1, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f02])).
% 60.54/9.25 thf(zip_derived_cl81, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((ld @ (mult @ (mult @ X1 @ X0) @ X1) @ (mult @ X1 @ X0))
% 60.54/9.25 = (rd @ X0 @ (mult @ X1 @ X0)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl1])).
% 60.54/9.25 thf(zip_derived_cl7616, plain,
% 60.54/9.25 (![X0 : $i]:
% 60.54/9.25 ((ld @ (mult @ (mult @ X0 @ (rd @ X0 @ X0)) @ X0) @ X0)
% 60.54/9.25 = (rd @ (rd @ X0 @ X0) @ (mult @ X0 @ (rd @ X0 @ X0))))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl7563, zip_derived_cl81])).
% 60.54/9.25 thf(zip_derived_cl7563, plain,
% 60.54/9.25 (![X0 : $i]: ((X0) = (mult @ X0 @ (rd @ X0 @ X0)))),
% 60.54/9.25 inference('demod', [status(thm)], [zip_derived_cl7473, zip_derived_cl8])).
% 60.54/9.25 thf(zip_derived_cl6876, plain,
% 60.54/9.25 (![X0 : $i]: ((rd @ X0 @ X0) = (mult @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)))),
% 60.54/9.25 inference('demod', [status(thm)],
% 60.54/9.25 [zip_derived_cl6814, zip_derived_cl3, zip_derived_cl1])).
% 60.54/9.25 thf(zip_derived_cl3, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f04])).
% 60.54/9.25 thf(zip_derived_cl6950, plain,
% 60.54/9.25 (![X0 : $i]: ((rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)) = (rd @ X0 @ X0))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl6876, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl0, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f01])).
% 60.54/9.25 thf(zip_derived_cl42, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((rd @ (mult @ X2 @ X0) @ X2)
% 60.54/9.25 = (mult @ (mult @ X2 @ (rd @ X0 @ (mult @ X1 @ X2))) @ X1))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 60.54/9.25 thf(zip_derived_cl3, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f04])).
% 60.54/9.25 thf(zip_derived_cl49, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((rd @ (rd @ (mult @ X0 @ X1) @ X0) @ X2)
% 60.54/9.25 = (mult @ X0 @ (rd @ X1 @ (mult @ X2 @ X0))))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl261, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((rd @ (rd @ X0 @ X1) @ X2)
% 60.54/9.25 = (mult @ X1 @ (rd @ (ld @ X1 @ X0) @ (mult @ X2 @ X1))))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl49])).
% 60.54/9.25 thf(zip_derived_cl1, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f02])).
% 60.54/9.25 thf(zip_derived_cl3313, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((ld @ X1 @ (rd @ (rd @ X2 @ X1) @ X0))
% 60.54/9.25 = (rd @ (ld @ X1 @ X2) @ (mult @ X0 @ X1)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl261, zip_derived_cl1])).
% 60.54/9.25 thf(zip_derived_cl7155, plain,
% 60.54/9.25 (![X0 : $i]:
% 60.54/9.25 ((ld @ X0 @ (rd @ X0 @ X0))
% 60.54/9.25 = (rd @ (ld @ X0 @ X0) @ (mult @ (rd @ X0 @ X0) @ X0)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl6950, zip_derived_cl3313])).
% 60.54/9.25 thf(zip_derived_cl3, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f04])).
% 60.54/9.25 thf(zip_derived_cl108, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((mult @ (mult @ X0 @ (rd @ X0 @ X1)) @ (rd @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('demod', [status(thm)],
% 60.54/9.25 [zip_derived_cl97, zip_derived_cl2, zip_derived_cl2])).
% 60.54/9.25 thf(zip_derived_cl3, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f04])).
% 60.54/9.25 thf(zip_derived_cl124, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((rd @ X0 @ (rd @ X1 @ X0)) = (mult @ X0 @ (rd @ X0 @ X1)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl150, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((rd @ X1 @ X0) = (mult @ X1 @ (rd @ X1 @ (mult @ X0 @ X1))))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl124])).
% 60.54/9.25 thf(zip_derived_cl1, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f02])).
% 60.54/9.25 thf(zip_derived_cl207, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((ld @ X1 @ (rd @ X1 @ X0)) = (rd @ X1 @ (mult @ X0 @ X1)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl150, zip_derived_cl1])).
% 60.54/9.25 thf(zip_derived_cl2, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f03])).
% 60.54/9.25 thf(zip_derived_cl186, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((ld @ (mult @ X1 @ X0) @ X1) = (rd @ (ld @ X0 @ X1) @ X1))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl119])).
% 60.54/9.25 thf(zip_derived_cl7208, plain,
% 60.54/9.25 (![X0 : $i]:
% 60.54/9.25 ((rd @ X0 @ (mult @ X0 @ X0)) = (ld @ (mult @ X0 @ X0) @ X0))),
% 60.54/9.25 inference('demod', [status(thm)],
% 60.54/9.25 [zip_derived_cl7155, zip_derived_cl207, zip_derived_cl2,
% 60.54/9.25 zip_derived_cl186])).
% 60.54/9.25 thf(zip_derived_cl7563, plain,
% 60.54/9.25 (![X0 : $i]: ((X0) = (mult @ X0 @ (rd @ X0 @ X0)))),
% 60.54/9.25 inference('demod', [status(thm)], [zip_derived_cl7473, zip_derived_cl8])).
% 60.54/9.25 thf(zip_derived_cl7702, plain,
% 60.54/9.25 (![X0 : $i]: ((rd @ X0 @ (mult @ X0 @ X0)) = (rd @ (rd @ X0 @ X0) @ X0))),
% 60.54/9.25 inference('demod', [status(thm)],
% 60.54/9.25 [zip_derived_cl7616, zip_derived_cl7563, zip_derived_cl7208,
% 60.54/9.25 zip_derived_cl7563])).
% 60.54/9.25 thf(zip_derived_cl46955, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((mult @ (mult @ X1 @ (rd @ X0 @ (mult @ X0 @ X0))) @ X0)
% 60.54/9.25 = (mult @ (ld @ (rd @ X0 @ X0) @ (rd @ X1 @ X0)) @ X0))),
% 60.54/9.25 inference('demod', [status(thm)],
% 60.54/9.25 [zip_derived_cl7660, zip_derived_cl4592, zip_derived_cl523,
% 60.54/9.25 zip_derived_cl7702])).
% 60.54/9.25 thf(zip_derived_cl3, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f04])).
% 60.54/9.25 thf(zip_derived_cl47007, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((rd @ (mult @ (mult @ X1 @ (rd @ X0 @ (mult @ X0 @ X0))) @ X0) @ X0)
% 60.54/9.25 = (ld @ (rd @ X0 @ X0) @ (rd @ X1 @ X0)))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl46955, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl3, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f04])).
% 60.54/9.25 thf(zip_derived_cl47343, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((mult @ X1 @ (rd @ X0 @ (mult @ X0 @ X0)))
% 60.54/9.25 = (ld @ (rd @ X0 @ X0) @ (rd @ X1 @ X0)))),
% 60.54/9.25 inference('demod', [status(thm)], [zip_derived_cl47007, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl0, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f01])).
% 60.54/9.25 thf(zip_derived_cl47417, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((mult @ (rd @ X0 @ X0) @ (mult @ X1 @ (rd @ X0 @ (mult @ X0 @ X0))))
% 60.54/9.25 = (rd @ X1 @ X0))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl47343, zip_derived_cl0])).
% 60.54/9.25 thf(zip_derived_cl48744, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((mult @ (rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)) @
% 60.54/9.25 (mult @ X1 @ (rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0))))
% 60.54/9.25 = (rd @ X1 @ (rd @ X0 @ X0)))),
% 60.54/9.25 inference('sup+', [status(thm)],
% 60.54/9.25 [zip_derived_cl6876, zip_derived_cl47417])).
% 60.54/9.25 thf(zip_derived_cl6950, plain,
% 60.54/9.25 (![X0 : $i]: ((rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)) = (rd @ X0 @ X0))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl6876, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl6950, plain,
% 60.54/9.25 (![X0 : $i]: ((rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)) = (rd @ X0 @ X0))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl6876, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl48778, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((mult @ (rd @ X0 @ X0) @ (mult @ X1 @ (rd @ X0 @ X0)))
% 60.54/9.25 = (rd @ X1 @ (rd @ X0 @ X0)))),
% 60.54/9.25 inference('demod', [status(thm)],
% 60.54/9.25 [zip_derived_cl48744, zip_derived_cl6950, zip_derived_cl6950])).
% 60.54/9.25 thf(zip_derived_cl7046, plain,
% 60.54/9.25 (![X0 : $i]:
% 60.54/9.25 ((X0) = (mult @ (rd @ X0 @ X0) @ (mult @ X0 @ (rd @ X0 @ X0))))),
% 60.54/9.25 inference('demod', [status(thm)], [zip_derived_cl6991, zip_derived_cl108])).
% 60.54/9.25 thf(zip_derived_cl4, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X0)
% 60.54/9.25 = (mult @ X0 @ (mult @ X1 @ (mult @ X2 @ X0))))),
% 60.54/9.25 inference('cnf', [status(esa)], [f05])).
% 60.54/9.25 thf(zip_derived_cl1, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f02])).
% 60.54/9.25 thf(zip_derived_cl12, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((ld @ (mult @ (mult @ X0 @ X2) @ X1) @
% 60.54/9.25 (mult @ X0 @ (mult @ X2 @ (mult @ X1 @ X0)))) = (X0))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 60.54/9.25 thf(zip_derived_cl7535, plain,
% 60.54/9.25 (![X0 : $i]:
% 60.54/9.25 ((ld @ (mult @ (mult @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)) @ X0) @
% 60.54/9.25 (mult @ (rd @ X0 @ X0) @ X0)) = (rd @ X0 @ X0))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl7046, zip_derived_cl12])).
% 60.54/9.25 thf(zip_derived_cl6876, plain,
% 60.54/9.25 (![X0 : $i]: ((rd @ X0 @ X0) = (mult @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)))),
% 60.54/9.25 inference('demod', [status(thm)],
% 60.54/9.25 [zip_derived_cl6814, zip_derived_cl3, zip_derived_cl1])).
% 60.54/9.25 thf(zip_derived_cl2, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f03])).
% 60.54/9.25 thf(zip_derived_cl2, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f03])).
% 60.54/9.25 thf(zip_derived_cl7597, plain,
% 60.54/9.25 (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 60.54/9.25 inference('demod', [status(thm)],
% 60.54/9.25 [zip_derived_cl7535, zip_derived_cl6876, zip_derived_cl2,
% 60.54/9.25 zip_derived_cl2])).
% 60.54/9.25 thf(zip_derived_cl18, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((mult @ (mult @ X0 @ X2) @ X1)
% 60.54/9.25 = (mult @ X1 @ (mult @ (ld @ X1 @ X0) @ (mult @ X2 @ X1))))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 60.54/9.25 thf(zip_derived_cl3, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f04])).
% 60.54/9.25 thf(zip_derived_cl492, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.54/9.25 ((rd @ (mult @ (mult @ X2 @ X1) @ X0) @
% 60.54/9.25 (mult @ (ld @ X0 @ X2) @ (mult @ X1 @ X0))) = (X0))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl7820, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((rd @ (mult @ (mult @ X0 @ X1) @ X0) @
% 60.54/9.25 (mult @ (rd @ X0 @ X0) @ (mult @ X1 @ X0))) = (X0))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl7597, zip_derived_cl492])).
% 60.54/9.25 thf(zip_derived_cl50151, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((rd @ (mult @ (rd @ X1 @ (rd @ X0 @ X0)) @ (rd @ X0 @ X0)) @
% 60.54/9.25 (mult @ (rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)) @
% 60.54/9.25 (mult @ (mult @ X1 @ (rd @ X0 @ X0)) @ (rd @ X0 @ X0))))
% 60.54/9.25 = (rd @ X0 @ X0))),
% 60.54/9.25 inference('sup+', [status(thm)],
% 60.54/9.25 [zip_derived_cl48778, zip_derived_cl7820])).
% 60.54/9.25 thf(zip_derived_cl2, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f03])).
% 60.54/9.25 thf(zip_derived_cl6950, plain,
% 60.54/9.25 (![X0 : $i]: ((rd @ (rd @ X0 @ X0) @ (rd @ X0 @ X0)) = (rd @ X0 @ X0))),
% 60.54/9.25 inference('sup+', [status(thm)], [zip_derived_cl6876, zip_derived_cl3])).
% 60.54/9.25 thf(zip_derived_cl48778, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]:
% 60.54/9.25 ((mult @ (rd @ X0 @ X0) @ (mult @ X1 @ (rd @ X0 @ X0)))
% 60.54/9.25 = (rd @ X1 @ (rd @ X0 @ X0)))),
% 60.54/9.25 inference('demod', [status(thm)],
% 60.54/9.25 [zip_derived_cl48744, zip_derived_cl6950, zip_derived_cl6950])).
% 60.54/9.25 thf(zip_derived_cl3, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 60.54/9.25 inference('cnf', [status(esa)], [f04])).
% 60.54/9.25 thf(zip_derived_cl50429, plain,
% 60.54/9.25 (![X0 : $i, X1 : $i]: ((rd @ X1 @ X1) = (rd @ X0 @ X0))),
% 60.54/9.25 inference('demod', [status(thm)],
% 60.54/9.25 [zip_derived_cl50151, zip_derived_cl2, zip_derived_cl6950,
% 60.54/9.25 zip_derived_cl48778, zip_derived_cl3])).
% 60.54/9.25 thf(goal, conjecture, (( mult @ x0 @ ( rd @ x1 @ x1 ) ) = ( x0 ))).
% 60.54/9.25 thf(zf_stmt_0, negated_conjecture,
% 60.54/9.25 (( mult @ x0 @ ( rd @ x1 @ x1 ) ) != ( x0 )),
% 60.54/9.25 inference('cnf.neg', [status(esa)], [goal])).
% 60.54/9.25 thf(zip_derived_cl5, plain, (((mult @ x0 @ (rd @ x1 @ x1)) != (x0))),
% 60.54/9.25 inference('cnf', [status(esa)], [zf_stmt_0])).
% 60.54/9.25 thf(zip_derived_cl50697, plain,
% 60.54/9.25 (![X0 : $i]: ((mult @ x0 @ (rd @ X0 @ X0)) != (x0))),
% 60.54/9.25 inference('sup-', [status(thm)], [zip_derived_cl50429, zip_derived_cl5])).
% 60.54/9.25 thf(zip_derived_cl51055, plain, (((x0) != (x0))),
% 60.54/9.25 inference('sup-', [status(thm)],
% 60.54/9.25 [zip_derived_cl7563, zip_derived_cl50697])).
% 60.54/9.25 thf(zip_derived_cl51071, plain, ($false),
% 60.54/9.25 inference('simplify', [status(thm)], [zip_derived_cl51055])).
% 60.54/9.25
% 60.54/9.25 % SZS output end Refutation
% 60.54/9.25
% 60.54/9.25
% 60.54/9.25 % Terminating...
% 60.54/9.28 % Runner terminated.
% 60.54/9.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------