%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP686-1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.O38ht87xao true
% Computer : n018.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 04:37:04 PM UTC 2025
% Result : Unsatisfiable 26.70s 4.35s
% Output : Refutation 26.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GRP686-1 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.O38ht87xao true
% 0.11/0.31 % Computer : n018.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Oct 1 14:26:08 EDT 2025
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % 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
% 0.43/0.57 % Total configuration time : 435
% 0.43/0.57 % Estimated wc time : 1092
% 0.43/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 26.70/4.35 % Solved by fo/fo6_bce.sh.
% 26.70/4.35 % BCE start: 8
% 26.70/4.35 % BCE eliminated: 0
% 26.70/4.35 % PE start: 8
% 26.70/4.35 logic: eq
% 26.70/4.35 % PE eliminated: 0
% 26.70/4.35 % done 288 iterations in 3.658s
% 26.70/4.35 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.70/4.35 % SZS output start Refutation
% 26.70/4.35 thf(a_type, type, a: $i).
% 26.70/4.35 thf(ld_type, type, ld: $i > $i > $i).
% 26.70/4.35 thf(rd_type, type, rd: $i > $i > $i).
% 26.70/4.35 thf(c_type, type, c: $i).
% 26.70/4.35 thf(mult_type, type, mult: $i > $i > $i).
% 26.70/4.35 thf(b_type, type, b: $i).
% 26.70/4.35 thf(unit_type, type, unit: $i).
% 26.70/4.35 thf(goals, conjecture,
% 26.70/4.35 (( mult @ ( mult @ a @ a ) @ ( mult @ b @ c ) ) =
% 26.70/4.35 ( mult @ ( mult @ a @ ( mult @ a @ b ) ) @ c ))).
% 26.70/4.35 thf(zf_stmt_0, negated_conjecture,
% 26.70/4.35 (( mult @ ( mult @ a @ a ) @ ( mult @ b @ c ) ) !=
% 26.70/4.35 ( mult @ ( mult @ a @ ( mult @ a @ b ) ) @ c )),
% 26.70/4.35 inference('cnf.neg', [status(esa)], [goals])).
% 26.70/4.35 thf(zip_derived_cl7, plain,
% 26.70/4.35 (((mult @ (mult @ a @ a) @ (mult @ b @ c))
% 26.70/4.35 != (mult @ (mult @ a @ (mult @ a @ b)) @ c))),
% 26.70/4.35 inference('cnf', [status(esa)], [zf_stmt_0])).
% 26.70/4.35 thf(c06, axiom, (( mult @ unit @ A ) = ( A ))).
% 26.70/4.35 thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c06])).
% 26.70/4.35 thf(c07, axiom,
% 26.70/4.35 (( mult @ A @ ( mult @ B @ ( mult @ B @ C ) ) ) =
% 26.70/4.35 ( mult @ ( mult @ A @ ( mult @ B @ B ) ) @ C ))).
% 26.70/4.35 thf(zip_derived_cl6, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 26.70/4.35 = (mult @ (mult @ X0 @ (mult @ X1 @ X1)) @ X2))),
% 26.70/4.35 inference('cnf', [status(esa)], [c07])).
% 26.70/4.35 thf(zip_derived_cl32, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((mult @ unit @ (mult @ X0 @ (mult @ X0 @ X1)))
% 26.70/4.35 = (mult @ (mult @ X0 @ X0) @ X1))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 26.70/4.35 thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c06])).
% 26.70/4.35 thf(zip_derived_cl37, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 26.70/4.35 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl5])).
% 26.70/4.35 thf(zip_derived_cl48, plain,
% 26.70/4.35 (((mult @ a @ (mult @ a @ (mult @ b @ c)))
% 26.70/4.35 != (mult @ (mult @ a @ (mult @ a @ b)) @ c))),
% 26.70/4.35 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl37])).
% 26.70/4.35 thf(c03, axiom, (( mult @ ( rd @ A @ B ) @ B ) = ( A ))).
% 26.70/4.35 thf(zip_derived_cl2, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c03])).
% 26.70/4.35 thf(zip_derived_cl6, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 26.70/4.35 = (mult @ (mult @ X0 @ (mult @ X1 @ X1)) @ X2))),
% 26.70/4.35 inference('cnf', [status(esa)], [c07])).
% 26.70/4.35 thf(zip_derived_cl31, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((mult @ (rd @ X0 @ (mult @ X2 @ X2)) @ (mult @ X2 @ (mult @ X2 @ X1)))
% 26.70/4.35 = (mult @ X0 @ X1))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 26.70/4.35 thf(zip_derived_cl2, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c03])).
% 26.70/4.35 thf(zip_derived_cl2, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c03])).
% 26.70/4.35 thf(c05, axiom, (( mult @ A @ unit ) = ( A ))).
% 26.70/4.35 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c05])).
% 26.70/4.35 thf(c01, axiom, (( mult @ A @ ( ld @ A @ B ) ) = ( B ))).
% 26.70/4.35 thf(zip_derived_cl0, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c01])).
% 26.70/4.35 thf(zip_derived_cl37, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 26.70/4.35 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl5])).
% 26.70/4.35 thf(c04, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 26.70/4.35 thf(zip_derived_cl3, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c04])).
% 26.70/4.35 thf(zip_derived_cl50, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((rd @ (mult @ X1 @ (mult @ X1 @ X0)) @ X0) = (mult @ X1 @ X1))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl3])).
% 26.70/4.35 thf(zip_derived_cl237, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((rd @ (mult @ X1 @ X0) @ (ld @ X1 @ X0)) = (mult @ X1 @ X1))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl50])).
% 26.70/4.35 thf(zip_derived_cl709, plain,
% 26.70/4.35 (![X0 : $i]: ((rd @ X0 @ (ld @ X0 @ unit)) = (mult @ X0 @ X0))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl237])).
% 26.70/4.35 thf(zip_derived_cl2, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c03])).
% 26.70/4.35 thf(c02, axiom, (( ld @ A @ ( mult @ A @ B ) ) = ( B ))).
% 26.70/4.35 thf(zip_derived_cl1, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c02])).
% 26.70/4.35 thf(zip_derived_cl15, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((ld @ (rd @ X0 @ X1) @ X0) = (X1))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 26.70/4.35 thf(zip_derived_cl729, plain,
% 26.70/4.35 (![X0 : $i]: ((ld @ (mult @ X0 @ X0) @ X0) = (ld @ X0 @ unit))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl709, zip_derived_cl15])).
% 26.70/4.35 thf(zip_derived_cl37, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 26.70/4.35 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl5])).
% 26.70/4.35 thf(zip_derived_cl0, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c01])).
% 26.70/4.35 thf(zip_derived_cl54, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((mult @ X1 @ (mult @ X1 @ (ld @ (mult @ X1 @ X1) @ X0))) = (X0))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 26.70/4.35 thf(zip_derived_cl1, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c02])).
% 26.70/4.35 thf(zip_derived_cl346, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((ld @ X1 @ X0) = (mult @ X1 @ (ld @ (mult @ X1 @ X1) @ X0)))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl1])).
% 26.70/4.35 thf(zip_derived_cl1, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c02])).
% 26.70/4.35 thf(zip_derived_cl1533, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((ld @ X1 @ (ld @ X1 @ X0)) = (ld @ (mult @ X1 @ X1) @ X0))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl346, zip_derived_cl1])).
% 26.70/4.35 thf(zip_derived_cl0, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c01])).
% 26.70/4.35 thf(zip_derived_cl6, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 26.70/4.35 = (mult @ (mult @ X0 @ (mult @ X1 @ X1)) @ X2))),
% 26.70/4.35 inference('cnf', [status(esa)], [c07])).
% 26.70/4.35 thf(zip_derived_cl1, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c02])).
% 26.70/4.35 thf(zip_derived_cl24, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((ld @ (mult @ X2 @ (mult @ X1 @ X1)) @
% 26.70/4.35 (mult @ X2 @ (mult @ X1 @ (mult @ X1 @ X0)))) = (X0))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 26.70/4.35 thf(zip_derived_cl87, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((ld @ (mult @ X2 @ (mult @ X1 @ X1)) @ (mult @ X2 @ (mult @ X1 @ X0)))
% 26.70/4.35 = (ld @ X1 @ X0))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl24])).
% 26.70/4.35 thf(zip_derived_cl0, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c01])).
% 26.70/4.35 thf(zip_derived_cl1281, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((mult @ (mult @ X2 @ (mult @ X1 @ X1)) @ (ld @ X1 @ X0))
% 26.70/4.35 = (mult @ X2 @ (mult @ X1 @ X0)))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl0])).
% 26.70/4.35 thf(zip_derived_cl2578, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((mult @ (mult @ X2 @ (mult @ X1 @ X1)) @ (ld @ (mult @ X1 @ X1) @ X0))
% 26.70/4.35 = (mult @ X2 @ (mult @ X1 @ (ld @ X1 @ X0))))),
% 26.70/4.35 inference('s_sup+', [status(thm)],
% 26.70/4.35 [zip_derived_cl1533, zip_derived_cl1281])).
% 26.70/4.35 thf(zip_derived_cl0, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c01])).
% 26.70/4.35 thf(zip_derived_cl2614, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((mult @ (mult @ X2 @ (mult @ X1 @ X1)) @ (ld @ (mult @ X1 @ X1) @ X0))
% 26.70/4.35 = (mult @ X2 @ X0))),
% 26.70/4.35 inference('demod', [status(thm)], [zip_derived_cl2578, zip_derived_cl0])).
% 26.70/4.35 thf(zip_derived_cl2643, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((mult @ (mult @ X1 @ (mult @ X0 @ X0)) @ (ld @ X0 @ unit))
% 26.70/4.35 = (mult @ X1 @ X0))),
% 26.70/4.35 inference('s_sup+', [status(thm)],
% 26.70/4.35 [zip_derived_cl729, zip_derived_cl2614])).
% 26.70/4.35 thf(zip_derived_cl3, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c04])).
% 26.70/4.35 thf(zip_derived_cl2724, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((rd @ (mult @ X1 @ X0) @ (ld @ X0 @ unit))
% 26.70/4.35 = (mult @ X1 @ (mult @ X0 @ X0)))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl2643, zip_derived_cl3])).
% 26.70/4.35 thf(zip_derived_cl3369, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((rd @ X0 @ (ld @ X1 @ unit))
% 26.70/4.35 = (mult @ (rd @ X0 @ X1) @ (mult @ X1 @ X1)))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2724])).
% 26.70/4.35 thf(zip_derived_cl0, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c01])).
% 26.70/4.35 thf(zip_derived_cl3, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c04])).
% 26.70/4.35 thf(zip_derived_cl18, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((rd @ X0 @ (ld @ X1 @ X0)) = (X1))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 26.70/4.35 thf(zip_derived_cl3548, plain,
% 26.70/4.35 (![X0 : $i]: ((mult @ (rd @ unit @ X0) @ (mult @ X0 @ X0)) = (X0))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl3369, zip_derived_cl18])).
% 26.70/4.35 thf(zip_derived_cl6, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 26.70/4.35 = (mult @ (mult @ X0 @ (mult @ X1 @ X1)) @ X2))),
% 26.70/4.35 inference('cnf', [status(esa)], [c07])).
% 26.70/4.35 thf(zip_derived_cl0, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c01])).
% 26.70/4.35 thf(zip_derived_cl28, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((mult @ X2 @
% 26.70/4.35 (mult @ X1 @
% 26.70/4.35 (mult @ X1 @ (ld @ (mult @ X2 @ (mult @ X1 @ X1)) @ X0))))
% 26.70/4.35 = (X0))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 26.70/4.35 thf(zip_derived_cl3633, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((mult @ (rd @ unit @ X0) @ (mult @ X0 @ (mult @ X0 @ (ld @ X0 @ X1))))
% 26.70/4.35 = (X1))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl3548, zip_derived_cl28])).
% 26.70/4.35 thf(zip_derived_cl0, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c01])).
% 26.70/4.35 thf(zip_derived_cl3686, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((mult @ (rd @ unit @ X0) @ (mult @ X0 @ X1)) = (X1))),
% 26.70/4.35 inference('demod', [status(thm)], [zip_derived_cl3633, zip_derived_cl0])).
% 26.70/4.35 thf(zip_derived_cl3548, plain,
% 26.70/4.35 (![X0 : $i]: ((mult @ (rd @ unit @ X0) @ (mult @ X0 @ X0)) = (X0))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl3369, zip_derived_cl18])).
% 26.70/4.35 thf(zip_derived_cl37, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 26.70/4.35 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl5])).
% 26.70/4.35 thf(zip_derived_cl2643, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((mult @ (mult @ X1 @ (mult @ X0 @ X0)) @ (ld @ X0 @ unit))
% 26.70/4.35 = (mult @ X1 @ X0))),
% 26.70/4.35 inference('s_sup+', [status(thm)],
% 26.70/4.35 [zip_derived_cl729, zip_derived_cl2614])).
% 26.70/4.35 thf(zip_derived_cl2738, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((mult @ (mult @ X1 @ (mult @ X1 @ (mult @ X0 @ X0))) @
% 26.70/4.35 (ld @ X0 @ unit)) = (mult @ (mult @ X1 @ X1) @ X0))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl2643])).
% 26.70/4.35 thf(zip_derived_cl37, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((mult @ X0 @ (mult @ X0 @ X1)) = (mult @ (mult @ X0 @ X0) @ X1))),
% 26.70/4.35 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl5])).
% 26.70/4.35 thf(zip_derived_cl2761, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((mult @ (mult @ X1 @ (mult @ X1 @ (mult @ X0 @ X0))) @
% 26.70/4.35 (ld @ X0 @ unit)) = (mult @ X1 @ (mult @ X1 @ X0)))),
% 26.70/4.35 inference('demod', [status(thm)], [zip_derived_cl2738, zip_derived_cl37])).
% 26.70/4.35 thf(zip_derived_cl3646, plain,
% 26.70/4.35 (![X0 : $i]:
% 26.70/4.35 ((mult @ (mult @ (rd @ unit @ X0) @ X0) @ (ld @ X0 @ unit))
% 26.70/4.35 = (mult @ (rd @ unit @ X0) @ (mult @ (rd @ unit @ X0) @ X0)))),
% 26.70/4.35 inference('s_sup+', [status(thm)],
% 26.70/4.35 [zip_derived_cl3548, zip_derived_cl2761])).
% 26.70/4.35 thf(zip_derived_cl2, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c03])).
% 26.70/4.35 thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c06])).
% 26.70/4.35 thf(zip_derived_cl2, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c03])).
% 26.70/4.35 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c05])).
% 26.70/4.35 thf(zip_derived_cl3695, plain,
% 26.70/4.35 (![X0 : $i]: ((ld @ X0 @ unit) = (rd @ unit @ X0))),
% 26.70/4.35 inference('demod', [status(thm)],
% 26.70/4.35 [zip_derived_cl3646, zip_derived_cl2, zip_derived_cl5,
% 26.70/4.35 zip_derived_cl2, zip_derived_cl4])).
% 26.70/4.35 thf(zip_derived_cl3853, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((mult @ (ld @ X0 @ unit) @ (mult @ X0 @ X1)) = (X1))),
% 26.70/4.35 inference('demod', [status(thm)],
% 26.70/4.35 [zip_derived_cl3686, zip_derived_cl3695])).
% 26.70/4.35 thf(zip_derived_cl3, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 26.70/4.35 inference('cnf', [status(esa)], [c04])).
% 26.70/4.35 thf(zip_derived_cl3869, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((rd @ X0 @ (mult @ X1 @ X0)) = (ld @ X1 @ unit))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl3])).
% 26.70/4.35 thf(zip_derived_cl5586, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]: ((rd @ X1 @ X0) = (ld @ (rd @ X0 @ X1) @ unit))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl3869])).
% 26.70/4.35 thf(zip_derived_cl3853, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i]:
% 26.70/4.35 ((mult @ (ld @ X0 @ unit) @ (mult @ X0 @ X1)) = (X1))),
% 26.70/4.35 inference('demod', [status(thm)],
% 26.70/4.35 [zip_derived_cl3686, zip_derived_cl3695])).
% 26.70/4.35 thf(zip_derived_cl7435, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((mult @ (rd @ X1 @ X0) @ (mult @ (rd @ X0 @ X1) @ X2)) = (X2))),
% 26.70/4.35 inference('s_sup+', [status(thm)],
% 26.70/4.35 [zip_derived_cl5586, zip_derived_cl3853])).
% 26.70/4.35 thf(zip_derived_cl7873, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((mult @ (rd @ (mult @ X2 @ X2) @ X1) @ (mult @ X1 @ X0))
% 26.70/4.35 = (mult @ X2 @ (mult @ X2 @ X0)))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl7435])).
% 26.70/4.35 thf(zip_derived_cl6, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((mult @ X0 @ (mult @ X1 @ (mult @ X1 @ X2)))
% 26.70/4.35 = (mult @ (mult @ X0 @ (mult @ X1 @ X1)) @ X2))),
% 26.70/4.35 inference('cnf', [status(esa)], [c07])).
% 26.70/4.35 thf(zip_derived_cl8528, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((mult @ (rd @ (mult @ X1 @ X1) @ X0) @ (mult @ X0 @ (mult @ X0 @ X2)))
% 26.70/4.35 = (mult @ (mult @ X1 @ (mult @ X1 @ X0)) @ X2))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl7873, zip_derived_cl6])).
% 26.70/4.35 thf(zip_derived_cl7873, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((mult @ (rd @ (mult @ X2 @ X2) @ X1) @ (mult @ X1 @ X0))
% 26.70/4.35 = (mult @ X2 @ (mult @ X2 @ X0)))),
% 26.70/4.35 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl7435])).
% 26.70/4.35 thf(zip_derived_cl8692, plain,
% 26.70/4.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.70/4.35 ((mult @ X1 @ (mult @ X1 @ (mult @ X0 @ X2)))
% 26.70/4.35 = (mult @ (mult @ X1 @ (mult @ X1 @ X0)) @ X2))),
% 26.70/4.35 inference('demod', [status(thm)],
% 26.70/4.35 [zip_derived_cl8528, zip_derived_cl7873])).
% 26.70/4.35 thf(zip_derived_cl9111, plain,
% 26.70/4.35 (((mult @ a @ (mult @ a @ (mult @ b @ c)))
% 26.70/4.35 != (mult @ a @ (mult @ a @ (mult @ b @ c))))),
% 26.70/4.35 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl8692])).
% 26.70/4.35 thf(zip_derived_cl9112, plain, ($false),
% 26.70/4.35 inference('simplify', [status(thm)], [zip_derived_cl9111])).
% 26.70/4.35
% 26.70/4.35 % SZS output end Refutation
% 26.70/4.35
% 26.70/4.35
% 26.70/4.35 % Terminating...
% 26.92/4.41 % Runner terminated.
% 26.92/4.42 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------