%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP683-10 : TPTP v9.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.i5W6pltu8o true
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:37:03 PM UTC 2025
% Result : Unsatisfiable 20.66s 5.36s
% Output : Refutation 20.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GRP683-10 : TPTP v9.2.0. Released v8.1.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.i5W6pltu8o true
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 14:10:38 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.45/0.62 % Total configuration time : 435
% 0.45/0.62 % Estimated wc time : 1092
% 0.45/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 20.66/5.36 % Solved by fo/fo5.sh.
% 20.66/5.36 % done 329 iterations in 4.375s
% 20.66/5.36 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 20.66/5.36 % SZS output start Refutation
% 20.66/5.36 thf(rd_type, type, rd: $i > $i > $i).
% 20.66/5.36 thf(x4_type, type, x4: $i).
% 20.66/5.36 thf(mult_type, type, mult: $i > $i > $i).
% 20.66/5.36 thf(x3_type, type, x3: $i).
% 20.66/5.36 thf(ld_type, type, ld: $i > $i > $i).
% 20.66/5.36 thf(x5_type, type, x5: $i).
% 20.66/5.36 thf(goal, conjecture,
% 20.66/5.36 (( mult @ x3 @ ( ld @ x4 @ ( mult @ x4 @ x5 ) ) ) = ( mult @ x3 @ x5 ))).
% 20.66/5.36 thf(zf_stmt_0, negated_conjecture,
% 20.66/5.36 (( mult @ x3 @ ( ld @ x4 @ ( mult @ x4 @ x5 ) ) ) != ( mult @ x3 @ x5 )),
% 20.66/5.36 inference('cnf.neg', [status(esa)], [goal])).
% 20.66/5.36 thf(zip_derived_cl7, plain,
% 20.66/5.36 (((mult @ x3 @ (ld @ x4 @ (mult @ x4 @ x5))) != (mult @ x3 @ x5))),
% 20.66/5.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 20.66/5.36 thf(f03, axiom,
% 20.66/5.36 (( mult @ A @ ( ld @ A @ B ) ) = ( ld @ A @ ( mult @ A @ B ) ))).
% 20.66/5.36 thf(zip_derived_cl2, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.66/5.36 inference('cnf', [status(esa)], [f03])).
% 20.66/5.36 thf(f07, axiom,
% 20.66/5.36 (( ld @ A @ ( mult @ A @ ( ld @ B @ B ) ) ) =
% 20.66/5.36 ( rd @ ( mult @ ( rd @ A @ A ) @ B ) @ B ))).
% 20.66/5.36 thf(zip_derived_cl6, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 20.66/5.36 = (rd @ (mult @ (rd @ X0 @ X0) @ X1) @ X1))),
% 20.66/5.36 inference('cnf', [status(esa)], [f07])).
% 20.66/5.36 thf(f04, axiom,
% 20.66/5.36 (( mult @ ( rd @ A @ B ) @ B ) = ( rd @ ( mult @ A @ B ) @ B ))).
% 20.66/5.36 thf(zip_derived_cl3, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.66/5.36 inference('cnf', [status(esa)], [f04])).
% 20.66/5.36 thf(zip_derived_cl11, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 20.66/5.36 = (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 20.66/5.36 thf(zip_derived_cl14, plain,
% 20.66/5.36 (![X0 : $i]:
% 20.66/5.36 ((ld @ X0 @ (ld @ X0 @ (mult @ X0 @ X0)))
% 20.66/5.36 = (mult @ (rd @ (rd @ X0 @ X0) @ X0) @ X0))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl11])).
% 20.66/5.36 thf(f01, axiom, (( ld @ A @ ( mult @ A @ A ) ) = ( A ))).
% 20.66/5.36 thf(zip_derived_cl0, plain,
% 20.66/5.36 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('cnf', [status(esa)], [f01])).
% 20.66/5.36 thf(zip_derived_cl15, plain,
% 20.66/5.36 (![X0 : $i]: ((ld @ X0 @ X0) = (mult @ (rd @ (rd @ X0 @ X0) @ X0) @ X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl3, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.66/5.36 inference('cnf', [status(esa)], [f04])).
% 20.66/5.36 thf(f02, axiom, (( rd @ ( mult @ A @ A ) @ A ) = ( A ))).
% 20.66/5.36 thf(zip_derived_cl1, plain,
% 20.66/5.36 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 20.66/5.36 inference('cnf', [status(esa)], [f02])).
% 20.66/5.36 thf(zip_derived_cl9, plain,
% 20.66/5.36 (![X0 : $i]: ((mult @ (rd @ X0 @ X0) @ X0) = (X0))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 20.66/5.36 thf(zip_derived_cl3, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.66/5.36 inference('cnf', [status(esa)], [f04])).
% 20.66/5.36 thf(zip_derived_cl16, plain,
% 20.66/5.36 (![X0 : $i]: ((mult @ (rd @ (rd @ X0 @ X0) @ X0) @ X0) = (rd @ X0 @ X0))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 20.66/5.36 thf(zip_derived_cl21, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl16])).
% 20.66/5.36 thf(zip_derived_cl2, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.66/5.36 inference('cnf', [status(esa)], [f03])).
% 20.66/5.36 thf(zip_derived_cl51, plain,
% 20.66/5.36 (![X0 : $i]:
% 20.66/5.36 ((mult @ X0 @ (rd @ X0 @ X0)) = (ld @ X0 @ (mult @ X0 @ X0)))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl2])).
% 20.66/5.36 thf(zip_derived_cl0, plain,
% 20.66/5.36 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('cnf', [status(esa)], [f01])).
% 20.66/5.36 thf(zip_derived_cl54, plain,
% 20.66/5.36 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 20.66/5.36 thf(f05, axiom,
% 20.66/5.36 (( ld @ ( ld @ A @ B ) @ ( mult @ ( ld @ A @ B ) @ ( mult @ C @ D ) ) ) =
% 20.66/5.36 ( mult @ ( ld @ A @ ( mult @ A @ C ) ) @ D ))).
% 20.66/5.36 thf(zip_derived_cl4, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.66/5.36 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 20.66/5.36 = (mult @ (ld @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 20.66/5.36 inference('cnf', [status(esa)], [f05])).
% 20.66/5.36 thf(zip_derived_cl0, plain,
% 20.66/5.36 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('cnf', [status(esa)], [f01])).
% 20.66/5.36 thf(zip_derived_cl4, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.66/5.36 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 20.66/5.36 = (mult @ (ld @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 20.66/5.36 inference('cnf', [status(esa)], [f05])).
% 20.66/5.36 thf(zip_derived_cl31, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (ld @ X0 @ (mult @ X0 @ X0)) @ (mult @ X0 @ (mult @ X2 @ X1)))
% 20.66/5.36 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 20.66/5.36 thf(zip_derived_cl0, plain,
% 20.66/5.36 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('cnf', [status(esa)], [f01])).
% 20.66/5.36 thf(zip_derived_cl40, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 20.66/5.36 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl66, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.66/5.36 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 20.66/5.36 = (ld @ X0 @ (mult @ X0 @ (mult @ X1 @ X2))))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl40])).
% 20.66/5.36 thf(zip_derived_cl7100, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))
% 20.66/5.36 = (ld @ X1 @ (mult @ X1 @ (mult @ X0 @ (rd @ X0 @ X0)))))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl66])).
% 20.66/5.36 thf(zip_derived_cl54, plain,
% 20.66/5.36 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl7208, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))
% 20.66/5.36 = (ld @ X1 @ (mult @ X1 @ X0)))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl7100, zip_derived_cl54])).
% 20.66/5.36 thf(zip_derived_cl2, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.66/5.36 inference('cnf', [status(esa)], [f03])).
% 20.66/5.36 thf(zip_derived_cl7323, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((mult @ (ld @ X1 @ X2) @ (ld @ X1 @ (mult @ X1 @ X0)))
% 20.66/5.36 = (ld @ (ld @ X1 @ X2) @
% 20.66/5.36 (mult @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl7208, zip_derived_cl2])).
% 20.66/5.36 thf(zip_derived_cl7208, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))
% 20.66/5.36 = (ld @ X1 @ (mult @ X1 @ X0)))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl7100, zip_derived_cl54])).
% 20.66/5.36 thf(zip_derived_cl2, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.66/5.36 inference('cnf', [status(esa)], [f03])).
% 20.66/5.36 thf(zip_derived_cl40, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 20.66/5.36 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl81, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ X1 @ (mult @ X1 @ (mult @ (ld @ X1 @ X0) @ X2)))
% 20.66/5.36 = (mult @ (ld @ X1 @ (ld @ X1 @ (mult @ X1 @ X0))) @ X2))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl40])).
% 20.66/5.36 thf(zip_derived_cl0, plain,
% 20.66/5.36 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('cnf', [status(esa)], [f01])).
% 20.66/5.36 thf(zip_derived_cl2, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.66/5.36 inference('cnf', [status(esa)], [f03])).
% 20.66/5.36 thf(zip_derived_cl8, plain,
% 20.66/5.36 (![X0 : $i]:
% 20.66/5.36 ((mult @ X0 @ X0) = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X0))))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 20.66/5.36 thf(zip_derived_cl2, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.66/5.36 inference('cnf', [status(esa)], [f03])).
% 20.66/5.36 thf(zip_derived_cl18, plain,
% 20.66/5.36 (![X0 : $i]:
% 20.66/5.36 ((mult @ X0 @ (mult @ X0 @ X0))
% 20.66/5.36 = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ (mult @ X0 @ X0)))))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 20.66/5.36 thf(zip_derived_cl4, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.66/5.36 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 20.66/5.36 = (mult @ (ld @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 20.66/5.36 inference('cnf', [status(esa)], [f05])).
% 20.66/5.36 thf(zip_derived_cl62, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ (ld @ X1 @ X0) @ (mult @ (ld @ X1 @ X0) @ (ld @ X1 @ X0)))
% 20.66/5.36 = (mult @ (ld @ X1 @ (mult @ X1 @ (ld @ X1 @ X0))) @
% 20.66/5.36 (mult @ (ld @ X1 @ X0) @ (ld @ X1 @ X0))))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl4])).
% 20.66/5.36 thf(zip_derived_cl2, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.66/5.36 inference('cnf', [status(esa)], [f03])).
% 20.66/5.36 thf(zip_derived_cl65, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ (ld @ X1 @ X0) @ (mult @ (ld @ X1 @ X0) @ (ld @ X1 @ X0)))
% 20.66/5.36 = (mult @ (ld @ X1 @ (ld @ X1 @ (mult @ X1 @ X0))) @
% 20.66/5.36 (mult @ (ld @ X1 @ X0) @ (ld @ X1 @ X0))))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl2])).
% 20.66/5.36 thf(zip_derived_cl3, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.66/5.36 inference('cnf', [status(esa)], [f04])).
% 20.66/5.36 thf(zip_derived_cl54, plain,
% 20.66/5.36 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl1, plain,
% 20.66/5.36 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 20.66/5.36 inference('cnf', [status(esa)], [f02])).
% 20.66/5.36 thf(f06, axiom,
% 20.66/5.36 (( rd @ ( mult @ ( mult @ A @ B ) @ ( rd @ C @ D ) ) @ ( rd @ C @ D ) ) =
% 20.66/5.36 ( mult @ A @ ( rd @ ( mult @ B @ D ) @ D ) ))).
% 20.66/5.36 thf(zip_derived_cl5, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.66/5.36 ((rd @ (mult @ (mult @ X0 @ X1) @ (rd @ X3 @ X2)) @ (rd @ X3 @ X2))
% 20.66/5.36 = (mult @ X0 @ (rd @ (mult @ X1 @ X2) @ X2)))),
% 20.66/5.36 inference('cnf', [status(esa)], [f06])).
% 20.66/5.36 thf(zip_derived_cl3, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.66/5.36 inference('cnf', [status(esa)], [f04])).
% 20.66/5.36 thf(zip_derived_cl111, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.66/5.36 ((rd @ (mult @ (mult @ X0 @ X1) @ (rd @ X3 @ X2)) @ (rd @ X3 @ X2))
% 20.66/5.36 = (mult @ X0 @ (mult @ (rd @ X1 @ X2) @ X2)))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 20.66/5.36 thf(zip_derived_cl115, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((rd @ (mult @ (mult @ X2 @ X1) @ (rd @ (mult @ X0 @ X0) @ X0)) @ X0)
% 20.66/5.36 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl111])).
% 20.66/5.36 thf(zip_derived_cl1, plain,
% 20.66/5.36 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 20.66/5.36 inference('cnf', [status(esa)], [f02])).
% 20.66/5.36 thf(zip_derived_cl3, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.66/5.36 inference('cnf', [status(esa)], [f04])).
% 20.66/5.36 thf(zip_derived_cl127, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 20.66/5.36 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 20.66/5.36 inference('demod', [status(thm)],
% 20.66/5.36 [zip_derived_cl115, zip_derived_cl1, zip_derived_cl3])).
% 20.66/5.36 thf(zip_derived_cl189, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ (rd @ X0 @ X1) @ X1)
% 20.66/5.36 = (mult @ X0 @ (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1)))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl127])).
% 20.66/5.36 thf(zip_derived_cl11, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 20.66/5.36 = (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 20.66/5.36 thf(zip_derived_cl21, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl16])).
% 20.66/5.36 thf(zip_derived_cl50, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ (rd @ X1 @ X1)))
% 20.66/5.36 = (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl21])).
% 20.66/5.36 thf(zip_derived_cl2, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.66/5.36 inference('cnf', [status(esa)], [f03])).
% 20.66/5.36 thf(zip_derived_cl230, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X1 @ (mult @ (rd @ (rd @ X1 @ X1) @ X0) @ X0))
% 20.66/5.36 = (ld @ X1 @ (mult @ X1 @ (mult @ X1 @ (rd @ X0 @ X0)))))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl2])).
% 20.66/5.36 thf(zip_derived_cl0, plain,
% 20.66/5.36 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('cnf', [status(esa)], [f01])).
% 20.66/5.36 thf(zip_derived_cl40, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 20.66/5.36 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl78, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl40])).
% 20.66/5.36 thf(zip_derived_cl241, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X1 @ (mult @ (rd @ (rd @ X1 @ X1) @ X0) @ X0))
% 20.66/5.36 = (mult @ X1 @ (rd @ X0 @ X0)))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl230, zip_derived_cl78])).
% 20.66/5.36 thf(zip_derived_cl691, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl189, zip_derived_cl241])).
% 20.66/5.36 thf(zip_derived_cl778, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (rd @ X1 @ X1)) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl691])).
% 20.66/5.36 thf(zip_derived_cl5925, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ (ld @ X1 @ (ld @ X1 @ (mult @ X1 @ X0))) @
% 20.66/5.36 (rd @ (mult @ (ld @ X1 @ X0) @ (ld @ X1 @ X0)) @
% 20.66/5.36 (mult @ (ld @ X1 @ X0) @ (ld @ X1 @ X0))))
% 20.66/5.36 = (rd @
% 20.66/5.36 (mult @ (ld @ X1 @ X0) @ (mult @ (ld @ X1 @ X0) @ (ld @ X1 @ X0))) @
% 20.66/5.36 (mult @ (ld @ X1 @ X0) @ (ld @ X1 @ X0))))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl65, zip_derived_cl778])).
% 20.66/5.36 thf(zip_derived_cl54, plain,
% 20.66/5.36 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl54, plain,
% 20.66/5.36 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl8, plain,
% 20.66/5.36 (![X0 : $i]:
% 20.66/5.36 ((mult @ X0 @ X0) = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X0))))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 20.66/5.36 thf(zip_derived_cl4, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.66/5.36 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 20.66/5.36 = (mult @ (ld @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 20.66/5.36 inference('cnf', [status(esa)], [f05])).
% 20.66/5.36 thf(zip_derived_cl33, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X0))) @
% 20.66/5.36 (mult @ (mult @ X0 @ X0) @ (mult @ X2 @ X1)))
% 20.66/5.36 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 20.66/5.36 thf(zip_derived_cl8, plain,
% 20.66/5.36 (![X0 : $i]:
% 20.66/5.36 ((mult @ X0 @ X0) = (ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X0))))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 20.66/5.36 thf(zip_derived_cl42, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (mult @ X0 @ X0) @ (mult @ (mult @ X0 @ X0) @ (mult @ X2 @ X1)))
% 20.66/5.36 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl8])).
% 20.66/5.36 thf(zip_derived_cl40, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 20.66/5.36 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl1135, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (mult @ X0 @ X0) @ (mult @ (mult @ X0 @ X0) @ (mult @ X2 @ X1)))
% 20.66/5.36 = (ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1))))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl40])).
% 20.66/5.36 thf(zip_derived_cl1147, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((ld @ (mult @ X1 @ X1) @ (mult @ (mult @ X1 @ X1) @ X0))
% 20.66/5.36 = (ld @ X1 @ (mult @ X1 @ (mult @ X0 @ (rd @ X0 @ X0)))))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl1135])).
% 20.66/5.36 thf(zip_derived_cl54, plain,
% 20.66/5.36 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl1169, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((ld @ (mult @ X1 @ X1) @ (mult @ (mult @ X1 @ X1) @ X0))
% 20.66/5.36 = (ld @ X1 @ (mult @ X1 @ X0)))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl1147, zip_derived_cl54])).
% 20.66/5.36 thf(zip_derived_cl1531, plain,
% 20.66/5.36 (![X0 : $i]:
% 20.66/5.36 ((ld @ (mult @ X0 @ X0) @ (mult @ X0 @ X0))
% 20.66/5.36 = (ld @ X0 @
% 20.66/5.36 (mult @ X0 @ (rd @ (mult @ X0 @ X0) @ (mult @ X0 @ X0)))))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl1169])).
% 20.66/5.36 thf(zip_derived_cl21, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl16])).
% 20.66/5.36 thf(zip_derived_cl691, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (rd @ X1 @ X1)))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl189, zip_derived_cl241])).
% 20.66/5.36 thf(zip_derived_cl127, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 20.66/5.36 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 20.66/5.36 inference('demod', [status(thm)],
% 20.66/5.36 [zip_derived_cl115, zip_derived_cl1, zip_derived_cl3])).
% 20.66/5.36 thf(zip_derived_cl9, plain,
% 20.66/5.36 (![X0 : $i]: ((mult @ (rd @ X0 @ X0) @ X0) = (X0))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 20.66/5.36 thf(zip_derived_cl184, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X1 @ (mult @ (rd @ X0 @ (mult @ X1 @ X0)) @ (mult @ X1 @ X0)))
% 20.66/5.36 = (mult @ X1 @ X0))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl9])).
% 20.66/5.36 thf(zip_derived_cl189, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ (rd @ X0 @ X1) @ X1)
% 20.66/5.36 = (mult @ X0 @ (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1)))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl127])).
% 20.66/5.36 thf(zip_derived_cl78, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl40])).
% 20.66/5.36 thf(zip_derived_cl512, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((ld @ X1 @ (mult @ X1 @ (mult @ (rd @ X1 @ X0) @ X0)))
% 20.66/5.36 = (mult @ X1 @ (mult @ (rd @ (rd @ X1 @ X1) @ X0) @ X0)))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl189, zip_derived_cl78])).
% 20.66/5.36 thf(zip_derived_cl189, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ (rd @ X0 @ X1) @ X1)
% 20.66/5.36 = (mult @ X0 @ (mult @ (rd @ (rd @ X0 @ X0) @ X1) @ X1)))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl127])).
% 20.66/5.36 thf(zip_derived_cl532, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((ld @ X1 @ (mult @ X1 @ (mult @ (rd @ X1 @ X0) @ X0)))
% 20.66/5.36 = (mult @ (rd @ X1 @ X0) @ X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl512, zip_derived_cl189])).
% 20.66/5.36 thf(zip_derived_cl575, plain,
% 20.66/5.36 (![X0 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ X0))
% 20.66/5.36 = (mult @ (rd @ X0 @ (mult @ X0 @ X0)) @ (mult @ X0 @ X0)))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl532])).
% 20.66/5.36 thf(zip_derived_cl0, plain,
% 20.66/5.36 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('cnf', [status(esa)], [f01])).
% 20.66/5.36 thf(zip_derived_cl586, plain,
% 20.66/5.36 (![X0 : $i]:
% 20.66/5.36 ((X0) = (mult @ (rd @ X0 @ (mult @ X0 @ X0)) @ (mult @ X0 @ X0)))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl575, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl800, plain,
% 20.66/5.36 (![X0 : $i]:
% 20.66/5.36 ((X0) = (mult @ X0 @ (rd @ (mult @ X0 @ X0) @ (mult @ X0 @ X0))))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl691, zip_derived_cl586])).
% 20.66/5.36 thf(zip_derived_cl21, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl16])).
% 20.66/5.36 thf(zip_derived_cl1542, plain,
% 20.66/5.36 (![X0 : $i]:
% 20.66/5.36 ((rd @ (mult @ X0 @ X0) @ (mult @ X0 @ X0)) = (rd @ X0 @ X0))),
% 20.66/5.36 inference('demod', [status(thm)],
% 20.66/5.36 [zip_derived_cl1531, zip_derived_cl21, zip_derived_cl800,
% 20.66/5.36 zip_derived_cl21])).
% 20.66/5.36 thf(zip_derived_cl81, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ X1 @ (mult @ X1 @ (mult @ (ld @ X1 @ X0) @ X2)))
% 20.66/5.36 = (mult @ (ld @ X1 @ (ld @ X1 @ (mult @ X1 @ X0))) @ X2))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl40])).
% 20.66/5.36 thf(zip_derived_cl54, plain,
% 20.66/5.36 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl2, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.66/5.36 inference('cnf', [status(esa)], [f03])).
% 20.66/5.36 thf(zip_derived_cl778, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (rd @ X1 @ X1)) = (rd @ (mult @ X0 @ X1) @ X1))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl691])).
% 20.66/5.36 thf(zip_derived_cl1542, plain,
% 20.66/5.36 (![X0 : $i]:
% 20.66/5.36 ((rd @ (mult @ X0 @ X0) @ (mult @ X0 @ X0)) = (rd @ X0 @ X0))),
% 20.66/5.36 inference('demod', [status(thm)],
% 20.66/5.36 [zip_derived_cl1531, zip_derived_cl21, zip_derived_cl800,
% 20.66/5.36 zip_derived_cl21])).
% 20.66/5.36 thf(zip_derived_cl54, plain,
% 20.66/5.36 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl6172, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((ld @ X1 @ (ld @ X1 @ (mult @ X1 @ X0))) = (ld @ X1 @ X0))),
% 20.66/5.36 inference('demod', [status(thm)],
% 20.66/5.36 [zip_derived_cl5925, zip_derived_cl1542, zip_derived_cl81,
% 20.66/5.36 zip_derived_cl54, zip_derived_cl2, zip_derived_cl778,
% 20.66/5.36 zip_derived_cl1542, zip_derived_cl54])).
% 20.66/5.36 thf(zip_derived_cl6192, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ X1 @ (mult @ X1 @ (mult @ (ld @ X1 @ X0) @ X2)))
% 20.66/5.36 = (mult @ (ld @ X1 @ X0) @ X2))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl6172])).
% 20.66/5.36 thf(zip_derived_cl7494, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((mult @ (ld @ X1 @ X2) @ (ld @ X1 @ (mult @ X1 @ X0)))
% 20.66/5.36 = (mult @ (ld @ X1 @ X2) @ X0))),
% 20.66/5.36 inference('demod', [status(thm)],
% 20.66/5.36 [zip_derived_cl7323, zip_derived_cl7208, zip_derived_cl6192])).
% 20.66/5.36 thf(zip_derived_cl2, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.66/5.36 inference('cnf', [status(esa)], [f03])).
% 20.66/5.36 thf(zip_derived_cl78, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl40])).
% 20.66/5.36 thf(zip_derived_cl7208, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))
% 20.66/5.36 = (ld @ X1 @ (mult @ X1 @ X0)))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl7100, zip_derived_cl54])).
% 20.66/5.36 thf(zip_derived_cl7358, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (ld @ X1 @ (mult @ X1 @ (mult @ X1 @ X0))) @
% 20.66/5.36 (mult @ (mult @ X1 @ X0) @ X2)) = (ld @ X1 @ (mult @ X1 @ X2)))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl7208])).
% 20.66/5.36 thf(zip_derived_cl78, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl40])).
% 20.66/5.36 thf(zip_derived_cl7431, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (mult @ X1 @ X0) @ (mult @ (mult @ X1 @ X0) @ X2))
% 20.66/5.36 = (ld @ X1 @ (mult @ X1 @ X2)))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl7358, zip_derived_cl78])).
% 20.66/5.36 thf(zip_derived_cl7703, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (mult @ X1 @ (ld @ X1 @ X0)) @
% 20.66/5.36 (mult @ (ld @ X1 @ (mult @ X1 @ X0)) @ X2))
% 20.66/5.36 = (ld @ X1 @ (mult @ X1 @ X2)))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl7431])).
% 20.66/5.36 thf(zip_derived_cl2, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.66/5.36 inference('cnf', [status(esa)], [f03])).
% 20.66/5.36 thf(zip_derived_cl40, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 20.66/5.36 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl7208, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))
% 20.66/5.36 = (ld @ X1 @ (mult @ X1 @ X0)))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl7100, zip_derived_cl54])).
% 20.66/5.36 thf(zip_derived_cl6172, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((ld @ X1 @ (ld @ X1 @ (mult @ X1 @ X0))) = (ld @ X1 @ X0))),
% 20.66/5.36 inference('demod', [status(thm)],
% 20.66/5.36 [zip_derived_cl5925, zip_derived_cl1542, zip_derived_cl81,
% 20.66/5.36 zip_derived_cl54, zip_derived_cl2, zip_derived_cl778,
% 20.66/5.36 zip_derived_cl1542, zip_derived_cl54])).
% 20.66/5.36 thf(zip_derived_cl7335, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (ld @ X1 @ X2) @ (ld @ X1 @ (mult @ X1 @ X0)))
% 20.66/5.36 = (ld @ (ld @ X1 @ X2) @ X0))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl7208, zip_derived_cl6172])).
% 20.66/5.36 thf(zip_derived_cl7783, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (ld @ X1 @ (mult @ X1 @ X0)) @ (mult @ X0 @ X2))
% 20.66/5.36 = (ld @ X1 @ (mult @ X1 @ X2)))),
% 20.66/5.36 inference('demod', [status(thm)],
% 20.66/5.36 [zip_derived_cl7703, zip_derived_cl2, zip_derived_cl40,
% 20.66/5.36 zip_derived_cl7335])).
% 20.66/5.36 thf(zip_derived_cl9118, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.66/5.36 ((ld @ (ld @ X3 @ (mult @ X3 @ (ld @ X2 @ X1))) @
% 20.66/5.36 (mult @ (ld @ X2 @ X1) @ X0))
% 20.66/5.36 = (ld @ X3 @ (mult @ X3 @ (ld @ X2 @ (mult @ X2 @ X0)))))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl7494, zip_derived_cl7783])).
% 20.66/5.36 thf(zip_derived_cl7783, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (ld @ X1 @ (mult @ X1 @ X0)) @ (mult @ X0 @ X2))
% 20.66/5.36 = (ld @ X1 @ (mult @ X1 @ X2)))),
% 20.66/5.36 inference('demod', [status(thm)],
% 20.66/5.36 [zip_derived_cl7703, zip_derived_cl2, zip_derived_cl40,
% 20.66/5.36 zip_derived_cl7335])).
% 20.66/5.36 thf(zip_derived_cl9201, plain,
% 20.66/5.36 (![X0 : $i, X2 : $i, X3 : $i]:
% 20.66/5.36 ((ld @ X3 @ (mult @ X3 @ X0))
% 20.66/5.36 = (ld @ X3 @ (mult @ X3 @ (ld @ X2 @ (mult @ X2 @ X0)))))),
% 20.66/5.36 inference('demod', [status(thm)],
% 20.66/5.36 [zip_derived_cl9118, zip_derived_cl7783])).
% 20.66/5.36 thf(zip_derived_cl54, plain,
% 20.66/5.36 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl7431, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (mult @ X1 @ X0) @ (mult @ (mult @ X1 @ X0) @ X2))
% 20.66/5.36 = (ld @ X1 @ (mult @ X1 @ X2)))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl7358, zip_derived_cl78])).
% 20.66/5.36 thf(zip_derived_cl2, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 20.66/5.36 inference('cnf', [status(esa)], [f03])).
% 20.66/5.36 thf(zip_derived_cl7662, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((mult @ (mult @ X1 @ X2) @ (ld @ X1 @ (mult @ X1 @ X0)))
% 20.66/5.36 = (ld @ (mult @ X1 @ X2) @
% 20.66/5.36 (mult @ (mult @ X1 @ X2) @ (mult @ (mult @ X1 @ X2) @ X0))))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl7431, zip_derived_cl2])).
% 20.66/5.36 thf(zip_derived_cl7431, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ (mult @ X1 @ X0) @ (mult @ (mult @ X1 @ X0) @ X2))
% 20.66/5.36 = (ld @ X1 @ (mult @ X1 @ X2)))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl7358, zip_derived_cl78])).
% 20.66/5.36 thf(zip_derived_cl78, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl40])).
% 20.66/5.36 thf(zip_derived_cl40, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 20.66/5.36 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl96, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((ld @ X1 @ (mult @ X1 @ (mult @ (mult @ X1 @ X0) @ X2)))
% 20.66/5.36 = (mult @ (mult @ X1 @ X0) @ X2))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl40])).
% 20.66/5.36 thf(zip_derived_cl7853, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((mult @ (mult @ X1 @ X2) @ (ld @ X1 @ (mult @ X1 @ X0)))
% 20.66/5.36 = (mult @ (mult @ X1 @ X2) @ X0))),
% 20.66/5.36 inference('demod', [status(thm)],
% 20.66/5.36 [zip_derived_cl7662, zip_derived_cl7431, zip_derived_cl96])).
% 20.66/5.36 thf(zip_derived_cl9349, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (ld @ X0 @ (mult @ X0 @ X1)))
% 20.66/5.36 = (mult @ (mult @ X0 @ (rd @ X0 @ X0)) @ X1))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl7853])).
% 20.66/5.36 thf(zip_derived_cl54, plain,
% 20.66/5.36 (![X0 : $i]: ((mult @ X0 @ (rd @ X0 @ X0)) = (X0))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 20.66/5.36 thf(zip_derived_cl9408, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (ld @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl9349, zip_derived_cl54])).
% 20.66/5.36 thf(zip_derived_cl10559, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((mult @ X1 @ (ld @ X1 @ (mult @ X1 @ X0)))
% 20.66/5.36 = (mult @ X1 @ (ld @ X2 @ (mult @ X2 @ X0))))),
% 20.66/5.36 inference('sup+', [status(thm)], [zip_derived_cl9201, zip_derived_cl9408])).
% 20.66/5.36 thf(zip_derived_cl9408, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i]:
% 20.66/5.36 ((mult @ X0 @ (ld @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl9349, zip_derived_cl54])).
% 20.66/5.36 thf(zip_derived_cl10708, plain,
% 20.66/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.66/5.36 ((mult @ X1 @ X0) = (mult @ X1 @ (ld @ X2 @ (mult @ X2 @ X0))))),
% 20.66/5.36 inference('demod', [status(thm)],
% 20.66/5.36 [zip_derived_cl10559, zip_derived_cl9408])).
% 20.66/5.36 thf(zip_derived_cl10728, plain, (((mult @ x3 @ x5) != (mult @ x3 @ x5))),
% 20.66/5.36 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl10708])).
% 20.66/5.36 thf(zip_derived_cl10729, plain, ($false),
% 20.66/5.36 inference('simplify', [status(thm)], [zip_derived_cl10728])).
% 20.66/5.36
% 20.66/5.36 % SZS output end Refutation
% 20.66/5.36
% 20.66/5.36
% 20.66/5.36 % Terminating...
% 20.95/5.51 % Runner terminated.
% 20.95/5.53 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------