%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP682-11 : TPTP v9.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AKvHfpG73t true
% Computer : n013.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 7.19s 1.63s
% Output : Refutation 7.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP682-11 : TPTP v9.2.0. Released v8.1.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AKvHfpG73t true
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 : Wed Oct 1 14:08:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.63 % Total configuration time : 435
% 0.56/0.63 % Estimated wc time : 1092
% 0.56/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.19/1.63 % Solved by fo/fo6_bce.sh.
% 7.19/1.63 % BCE start: 8
% 7.19/1.63 % BCE eliminated: 0
% 7.19/1.63 % PE start: 8
% 7.19/1.63 logic: eq
% 7.19/1.63 % PE eliminated: 0
% 7.19/1.63 % done 154 iterations in 0.902s
% 7.19/1.63 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.19/1.63 % SZS output start Refutation
% 7.19/1.63 thf(rd_type, type, rd: $i > $i > $i).
% 7.19/1.63 thf(x1_type, type, x1: $i).
% 7.19/1.63 thf(mult_type, type, mult: $i > $i > $i).
% 7.19/1.63 thf(x0_type, type, x0: $i).
% 7.19/1.63 thf(ld_type, type, ld: $i > $i > $i).
% 7.19/1.63 thf(x2_type, type, x2: $i).
% 7.19/1.63 thf(goal, conjecture,
% 7.19/1.63 (( ld @ ( rd @ x0 @ x1 ) @ ( mult @ ( rd @ x0 @ x1 ) @ x2 ) ) =
% 7.19/1.63 ( ld @ x0 @ ( mult @ x0 @ x2 ) ))).
% 7.19/1.63 thf(zf_stmt_0, negated_conjecture,
% 7.19/1.63 (( ld @ ( rd @ x0 @ x1 ) @ ( mult @ ( rd @ x0 @ x1 ) @ x2 ) ) !=
% 7.19/1.63 ( ld @ x0 @ ( mult @ x0 @ x2 ) )),
% 7.19/1.63 inference('cnf.neg', [status(esa)], [goal])).
% 7.19/1.63 thf(zip_derived_cl7, plain,
% 7.19/1.63 (((ld @ (rd @ x0 @ x1) @ (mult @ (rd @ x0 @ x1) @ x2))
% 7.19/1.63 != (ld @ x0 @ (mult @ x0 @ x2)))),
% 7.19/1.63 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.19/1.63 thf(f04, axiom,
% 7.19/1.63 (( mult @ ( rd @ A @ B ) @ B ) = ( rd @ ( mult @ A @ B ) @ B ))).
% 7.19/1.63 thf(zip_derived_cl3, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.19/1.63 inference('cnf', [status(esa)], [f04])).
% 7.19/1.63 thf(f02, axiom, (( rd @ ( mult @ A @ A ) @ A ) = ( A ))).
% 7.19/1.63 thf(zip_derived_cl1, plain,
% 7.19/1.63 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 7.19/1.63 inference('cnf', [status(esa)], [f02])).
% 7.19/1.63 thf(f06, axiom,
% 7.19/1.63 (( rd @ ( mult @ ( mult @ A @ B ) @ ( rd @ C @ D ) ) @ ( rd @ C @ D ) ) =
% 7.19/1.63 ( mult @ A @ ( rd @ ( mult @ B @ D ) @ D ) ))).
% 7.19/1.63 thf(zip_derived_cl5, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.19/1.63 ((rd @ (mult @ (mult @ X0 @ X1) @ (rd @ X3 @ X2)) @ (rd @ X3 @ X2))
% 7.19/1.63 = (mult @ X0 @ (rd @ (mult @ X1 @ X2) @ X2)))),
% 7.19/1.63 inference('cnf', [status(esa)], [f06])).
% 7.19/1.63 thf(zip_derived_cl3, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.19/1.63 inference('cnf', [status(esa)], [f04])).
% 7.19/1.63 thf(zip_derived_cl40, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.19/1.63 ((rd @ (mult @ (mult @ X0 @ X1) @ (rd @ X3 @ X2)) @ (rd @ X3 @ X2))
% 7.19/1.63 = (mult @ X0 @ (mult @ (rd @ X1 @ X2) @ X2)))),
% 7.19/1.63 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 7.19/1.63 thf(zip_derived_cl45, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.19/1.63 ((rd @ (mult @ (mult @ X2 @ X1) @ X0) @ X0)
% 7.19/1.63 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl40])).
% 7.19/1.63 thf(zip_derived_cl3, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.19/1.63 inference('cnf', [status(esa)], [f04])).
% 7.19/1.63 thf(zip_derived_cl151, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.19/1.63 ((mult @ (rd @ (mult @ X2 @ X1) @ X0) @ X0)
% 7.19/1.63 = (mult @ X2 @ (mult @ (rd @ X1 @ X0) @ X0)))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl3])).
% 7.19/1.63 thf(zip_derived_cl176, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((mult @ (mult @ (rd @ X1 @ X0) @ X0) @ X0)
% 7.19/1.63 = (mult @ X1 @ (mult @ (rd @ X0 @ X0) @ X0)))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl151])).
% 7.19/1.63 thf(zip_derived_cl3, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.19/1.63 inference('cnf', [status(esa)], [f04])).
% 7.19/1.63 thf(zip_derived_cl1, plain,
% 7.19/1.63 (![X0 : $i]: ((rd @ (mult @ X0 @ X0) @ X0) = (X0))),
% 7.19/1.63 inference('cnf', [status(esa)], [f02])).
% 7.19/1.63 thf(zip_derived_cl9, plain,
% 7.19/1.63 (![X0 : $i]: ((mult @ (rd @ X0 @ X0) @ X0) = (X0))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.19/1.63 thf(f07, axiom,
% 7.19/1.63 (( ld @ A @ ( mult @ A @ ( ld @ B @ B ) ) ) =
% 7.19/1.63 ( rd @ ( mult @ ( rd @ A @ A ) @ B ) @ B ))).
% 7.19/1.63 thf(zip_derived_cl6, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 7.19/1.63 = (rd @ (mult @ (rd @ X0 @ X0) @ X1) @ X1))),
% 7.19/1.63 inference('cnf', [status(esa)], [f07])).
% 7.19/1.63 thf(zip_derived_cl31, plain,
% 7.19/1.63 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ (ld @ X0 @ X0))) = (rd @ X0 @ X0))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 7.19/1.63 thf(f03, axiom,
% 7.19/1.63 (( mult @ A @ ( ld @ A @ B ) ) = ( ld @ A @ ( mult @ A @ B ) ))).
% 7.19/1.63 thf(zip_derived_cl2, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 7.19/1.63 inference('cnf', [status(esa)], [f03])).
% 7.19/1.63 thf(f01, axiom, (( ld @ A @ ( mult @ A @ A ) ) = ( A ))).
% 7.19/1.63 thf(zip_derived_cl0, plain,
% 7.19/1.63 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 7.19/1.63 inference('cnf', [status(esa)], [f01])).
% 7.19/1.63 thf(zip_derived_cl32, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 7.19/1.63 inference('demod', [status(thm)],
% 7.19/1.63 [zip_derived_cl31, zip_derived_cl2, zip_derived_cl0])).
% 7.19/1.63 thf(zip_derived_cl9, plain,
% 7.19/1.63 (![X0 : $i]: ((mult @ (rd @ X0 @ X0) @ X0) = (X0))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 7.19/1.63 thf(zip_derived_cl32, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 7.19/1.63 inference('demod', [status(thm)],
% 7.19/1.63 [zip_derived_cl31, zip_derived_cl2, zip_derived_cl0])).
% 7.19/1.63 thf(zip_derived_cl34, plain,
% 7.19/1.63 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 7.19/1.63 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl32])).
% 7.19/1.63 thf(zip_derived_cl188, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((mult @ (mult @ (rd @ X1 @ X0) @ X0) @ X0) = (mult @ X1 @ X0))),
% 7.19/1.63 inference('demod', [status(thm)],
% 7.19/1.63 [zip_derived_cl176, zip_derived_cl32, zip_derived_cl34])).
% 7.19/1.63 thf(zip_derived_cl0, plain,
% 7.19/1.63 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 7.19/1.63 inference('cnf', [status(esa)], [f01])).
% 7.19/1.63 thf(zip_derived_cl0, plain,
% 7.19/1.63 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 7.19/1.63 inference('cnf', [status(esa)], [f01])).
% 7.19/1.63 thf(f05, axiom,
% 7.19/1.63 (( ld @ ( ld @ A @ B ) @ ( mult @ ( ld @ A @ B ) @ ( mult @ C @ D ) ) ) =
% 7.19/1.63 ( mult @ ( ld @ A @ ( mult @ A @ C ) ) @ D ))).
% 7.19/1.63 thf(zip_derived_cl4, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.19/1.63 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 7.19/1.63 = (mult @ (ld @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 7.19/1.63 inference('cnf', [status(esa)], [f05])).
% 7.19/1.63 thf(zip_derived_cl21, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.19/1.63 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 7.19/1.63 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 7.19/1.63 thf(zip_derived_cl66, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl21])).
% 7.19/1.63 thf(zip_derived_cl21, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.19/1.63 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 7.19/1.63 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 7.19/1.63 thf(zip_derived_cl79, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.19/1.63 ((ld @ X1 @ (mult @ X1 @ (mult @ (mult @ X1 @ X0) @ X2)))
% 7.19/1.63 = (mult @ (mult @ X1 @ X0) @ X2))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl21])).
% 7.19/1.63 thf(zip_derived_cl840, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((ld @ (rd @ X1 @ X0) @ (mult @ (rd @ X1 @ X0) @ (mult @ X1 @ X0)))
% 7.19/1.63 = (mult @ X1 @ X0))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl188, zip_derived_cl79])).
% 7.19/1.63 thf(zip_derived_cl32, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 7.19/1.63 inference('demod', [status(thm)],
% 7.19/1.63 [zip_derived_cl31, zip_derived_cl2, zip_derived_cl0])).
% 7.19/1.63 thf(zip_derived_cl6, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 7.19/1.63 = (rd @ (mult @ (rd @ X0 @ X0) @ X1) @ X1))),
% 7.19/1.63 inference('cnf', [status(esa)], [f07])).
% 7.19/1.63 thf(zip_derived_cl32, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (rd @ X0 @ X0))),
% 7.19/1.63 inference('demod', [status(thm)],
% 7.19/1.63 [zip_derived_cl31, zip_derived_cl2, zip_derived_cl0])).
% 7.19/1.63 thf(zip_derived_cl3, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((mult @ (rd @ X0 @ X1) @ X1) = (rd @ (mult @ X0 @ X1) @ X1))),
% 7.19/1.63 inference('cnf', [status(esa)], [f04])).
% 7.19/1.63 thf(zip_derived_cl33, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((ld @ X0 @ (mult @ X0 @ (ld @ X1 @ X1)))
% 7.19/1.63 = (mult @ (rd @ (ld @ X0 @ X0) @ X1) @ X1))),
% 7.19/1.63 inference('demod', [status(thm)],
% 7.19/1.63 [zip_derived_cl6, zip_derived_cl32, zip_derived_cl3])).
% 7.19/1.63 thf(zip_derived_cl117, plain,
% 7.19/1.63 (![X0 : $i]:
% 7.19/1.63 ((ld @ X0 @ (mult @ X0 @ (ld @ (ld @ X0 @ X0) @ (ld @ X0 @ X0))))
% 7.19/1.63 = (mult @ (ld @ (ld @ X0 @ X0) @ (ld @ X0 @ X0)) @ (ld @ X0 @ X0)))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl33])).
% 7.19/1.63 thf(zip_derived_cl34, plain,
% 7.19/1.63 (![X0 : $i]: ((mult @ (ld @ X0 @ X0) @ X0) = (X0))),
% 7.19/1.63 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl32])).
% 7.19/1.63 thf(zip_derived_cl119, plain,
% 7.19/1.63 (![X0 : $i]:
% 7.19/1.63 ((ld @ X0 @ (mult @ X0 @ (ld @ (ld @ X0 @ X0) @ (ld @ X0 @ X0))))
% 7.19/1.63 = (ld @ X0 @ X0))),
% 7.19/1.63 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl34])).
% 7.19/1.63 thf(zip_derived_cl2, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 7.19/1.63 inference('cnf', [status(esa)], [f03])).
% 7.19/1.63 thf(zip_derived_cl370, plain,
% 7.19/1.63 (![X0 : $i]:
% 7.19/1.63 ((mult @ X0 @ (ld @ X0 @ X0))
% 7.19/1.63 = (ld @ X0 @
% 7.19/1.63 (mult @ X0 @ (mult @ X0 @ (ld @ (ld @ X0 @ X0) @ (ld @ X0 @ X0))))))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl2])).
% 7.19/1.63 thf(zip_derived_cl2, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((mult @ X0 @ (ld @ X0 @ X1)) = (ld @ X0 @ (mult @ X0 @ X1)))),
% 7.19/1.63 inference('cnf', [status(esa)], [f03])).
% 7.19/1.63 thf(zip_derived_cl0, plain,
% 7.19/1.63 (![X0 : $i]: ((ld @ X0 @ (mult @ X0 @ X0)) = (X0))),
% 7.19/1.63 inference('cnf', [status(esa)], [f01])).
% 7.19/1.63 thf(zip_derived_cl377, plain,
% 7.19/1.63 (![X0 : $i]:
% 7.19/1.63 ((X0)
% 7.19/1.63 = (ld @ X0 @
% 7.19/1.63 (mult @ X0 @ (mult @ X0 @ (ld @ (ld @ X0 @ X0) @ (ld @ X0 @ X0))))))),
% 7.19/1.63 inference('demod', [status(thm)],
% 7.19/1.63 [zip_derived_cl370, zip_derived_cl2, zip_derived_cl0])).
% 7.19/1.63 thf(zip_derived_cl66, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl21])).
% 7.19/1.63 thf(zip_derived_cl386, plain,
% 7.19/1.63 (![X0 : $i]:
% 7.19/1.63 ((X0) = (mult @ X0 @ (ld @ (ld @ X0 @ X0) @ (ld @ X0 @ X0))))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl377, zip_derived_cl66])).
% 7.19/1.63 thf(zip_derived_cl4, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.19/1.63 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 7.19/1.63 = (mult @ (ld @ X0 @ (mult @ X0 @ X1)) @ X2))),
% 7.19/1.63 inference('cnf', [status(esa)], [f05])).
% 7.19/1.63 thf(zip_derived_cl21, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.19/1.63 ((ld @ X0 @ (mult @ X0 @ (mult @ X2 @ X1)))
% 7.19/1.63 = (mult @ (ld @ X0 @ (mult @ X0 @ X2)) @ X1))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 7.19/1.63 thf(zip_derived_cl57, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.19/1.63 ((ld @ (ld @ X0 @ X3) @ (mult @ (ld @ X0 @ X3) @ (mult @ X1 @ X2)))
% 7.19/1.63 = (ld @ X0 @ (mult @ X0 @ (mult @ X1 @ X2))))),
% 7.19/1.63 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl21])).
% 7.19/1.63 thf(zip_derived_cl1325, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.19/1.63 ((ld @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))
% 7.19/1.63 = (ld @ X1 @ (mult @ X1 @ X0)))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl57])).
% 7.19/1.63 thf(zip_derived_cl1399, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.19/1.63 ((ld @ (mult @ X1 @ X0) @ (mult @ (mult @ X1 @ X0) @ X2))
% 7.19/1.63 = (ld @ (rd @ X1 @ X0) @ (mult @ (rd @ X1 @ X0) @ X2)))),
% 7.19/1.63 inference('s_sup+', [status(thm)],
% 7.19/1.63 [zip_derived_cl840, zip_derived_cl1325])).
% 7.19/1.63 thf(zip_derived_cl66, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i]:
% 7.19/1.63 ((ld @ X0 @ (mult @ X0 @ (mult @ X0 @ X1))) = (mult @ X0 @ X1))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl21])).
% 7.19/1.63 thf(zip_derived_cl1325, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.19/1.63 ((ld @ (ld @ X1 @ X2) @ (mult @ (ld @ X1 @ X2) @ X0))
% 7.19/1.63 = (ld @ X1 @ (mult @ X1 @ X0)))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl57])).
% 7.19/1.63 thf(zip_derived_cl1394, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.19/1.63 ((ld @ (mult @ X1 @ X0) @ (mult @ (mult @ X1 @ X0) @ X2))
% 7.19/1.63 = (ld @ X1 @ (mult @ X1 @ X2)))),
% 7.19/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl1325])).
% 7.19/1.63 thf(zip_derived_cl3985, plain,
% 7.19/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.19/1.63 ((ld @ X1 @ (mult @ X1 @ X2))
% 7.19/1.63 = (ld @ (rd @ X1 @ X0) @ (mult @ (rd @ X1 @ X0) @ X2)))),
% 7.19/1.63 inference('demod', [status(thm)],
% 7.19/1.63 [zip_derived_cl1399, zip_derived_cl1394])).
% 7.19/1.63 thf(zip_derived_cl3986, plain,
% 7.19/1.63 (((ld @ x0 @ (mult @ x0 @ x2)) != (ld @ x0 @ (mult @ x0 @ x2)))),
% 7.19/1.63 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl3985])).
% 7.19/1.63 thf(zip_derived_cl3987, plain, ($false),
% 7.19/1.63 inference('simplify', [status(thm)], [zip_derived_cl3986])).
% 7.19/1.63
% 7.19/1.63 % SZS output end Refutation
% 7.19/1.63
% 7.19/1.63
% 7.19/1.63 % Terminating...
% 7.41/1.66 % Runner terminated.
% 7.41/1.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------