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Zipperpin---2.1.9999.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP756-1 : 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.Qg2bUxFYdL 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 04:37:12 PM UTC 2025

% Result   : Unsatisfiable 8.41s 1.73s
% Output   : Refutation 8.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem  : GRP756-1 : TPTP v9.2.0. Released v4.0.0.
% 0.02/0.09  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Qg2bUxFYdL true
% 0.08/0.28  % Computer : n013.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 300
% 0.08/0.29  % DateTime : Wed Oct  1 14:16:08 EDT 2025
% 0.08/0.29  % CPUTime  : 
% 0.08/0.29  % Running portfolio for 300 s
% 0.08/0.29  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29  % Number of cores: 8
% 0.08/0.29  % Python version: Python 3.6.8
% 0.08/0.29  % Running in FO mode
% 0.13/0.53  % Total configuration time : 435
% 0.13/0.53  % Estimated wc time : 1092
% 0.13/0.53  % Estimated cpu time (7 cpus) : 156.0
% 0.86/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.86/0.64  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.17/0.64  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.17/0.64  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.18/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.18/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.18/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.41/1.73  % Solved by fo/fo5.sh.
% 8.41/1.73  % done 200 iterations in 1.045s
% 8.41/1.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.41/1.73  % SZS output start Refutation
% 8.41/1.73  thf(ld_type, type, ld: $i > $i > $i).
% 8.41/1.73  thf(rd_type, type, rd: $i > $i > $i).
% 8.41/1.73  thf(mult_type, type, mult: $i > $i > $i).
% 8.41/1.73  thf(b_type, type, b: $i).
% 8.41/1.73  thf(a_type, type, a: $i).
% 8.41/1.73  thf(c_type, type, c: $i).
% 8.41/1.73  thf(goals, conjecture,
% 8.41/1.73    (( mult @ ( mult @ a @ b ) @ c ) = ( mult @ a @ ( mult @ b @ c ) ))).
% 8.41/1.73  thf(zf_stmt_0, negated_conjecture,
% 8.41/1.73    (( mult @ ( mult @ a @ b ) @ c ) != ( mult @ a @ ( mult @ b @ c ) )),
% 8.41/1.73    inference('cnf.neg', [status(esa)], [goals])).
% 8.41/1.73  thf(zip_derived_cl5, plain,
% 8.41/1.73      (((mult @ (mult @ a @ b) @ c) != (mult @ a @ (mult @ b @ c)))),
% 8.41/1.73      inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.41/1.73  thf(f03, axiom, (( mult @ ( rd @ A @ B ) @ B ) = ( A ))).
% 8.41/1.73  thf(zip_derived_cl2, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f03])).
% 8.41/1.73  thf(zip_derived_cl2, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f03])).
% 8.41/1.73  thf(f04, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 8.41/1.73  thf(zip_derived_cl3, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f04])).
% 8.41/1.73  thf(f01, axiom, (( mult @ A @ ( ld @ A @ B ) ) = ( B ))).
% 8.41/1.73  thf(zip_derived_cl0, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f01])).
% 8.41/1.73  thf(f05, axiom,
% 8.41/1.73    (( mult @ A @ ( mult @ ( mult @ B @ B ) @ C ) ) =
% 8.41/1.73     ( mult @ ( mult @ A @ B ) @ ( mult @ B @ C ) ))).
% 8.41/1.73  thf(zip_derived_cl4, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((mult @ X0 @ (mult @ (mult @ X1 @ X1) @ X2))
% 8.41/1.73           = (mult @ (mult @ X0 @ X1) @ (mult @ X1 @ X2)))),
% 8.41/1.73      inference('cnf', [status(esa)], [f05])).
% 8.41/1.73  thf(f02, axiom, (( ld @ A @ ( mult @ A @ B ) ) = ( B ))).
% 8.41/1.73  thf(zip_derived_cl1, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f02])).
% 8.41/1.73  thf(zip_derived_cl12, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((ld @ (mult @ X2 @ X1) @ (mult @ X2 @ (mult @ (mult @ X1 @ X1) @ X0)))
% 8.41/1.73           = (mult @ X1 @ X0))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 8.41/1.73  thf(zip_derived_cl32, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((ld @ (mult @ X2 @ X1) @ (mult @ X2 @ X0))
% 8.41/1.73           = (mult @ X1 @ (ld @ (mult @ X1 @ X1) @ X0)))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl12])).
% 8.41/1.73  thf(zip_derived_cl0, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f01])).
% 8.41/1.73  thf(zip_derived_cl2, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f03])).
% 8.41/1.73  thf(zip_derived_cl4, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((mult @ X0 @ (mult @ (mult @ X1 @ X1) @ X2))
% 8.41/1.73           = (mult @ (mult @ X0 @ X1) @ (mult @ X1 @ X2)))),
% 8.41/1.73      inference('cnf', [status(esa)], [f05])).
% 8.41/1.73  thf(zip_derived_cl21, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((mult @ (rd @ X0 @ X2) @ (mult @ (mult @ X2 @ X2) @ X1))
% 8.41/1.73           = (mult @ X0 @ (mult @ X2 @ X1)))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 8.41/1.73  thf(zip_derived_cl93, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((mult @ (rd @ X2 @ X1) @ X0)
% 8.41/1.73           = (mult @ X2 @ (mult @ X1 @ (ld @ (mult @ X1 @ X1) @ X0))))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl21])).
% 8.41/1.73  thf(zip_derived_cl519, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((mult @ (rd @ X2 @ X1) @ (mult @ X1 @ X0))
% 8.41/1.73           = (mult @ X2 @ 
% 8.41/1.73              (mult @ X1 @ (mult @ X1 @ (ld @ (mult @ X1 @ X1) @ X0)))))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl93])).
% 8.41/1.73  thf(zip_derived_cl93, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((mult @ (rd @ X2 @ X1) @ X0)
% 8.41/1.73           = (mult @ X2 @ (mult @ X1 @ (ld @ (mult @ X1 @ X1) @ X0))))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl21])).
% 8.41/1.73  thf(zip_derived_cl525, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((mult @ (rd @ X2 @ X1) @ (mult @ X1 @ X0))
% 8.41/1.73           = (mult @ X2 @ (mult @ (rd @ X1 @ X1) @ X0)))),
% 8.41/1.73      inference('demod', [status(thm)], [zip_derived_cl519, zip_derived_cl93])).
% 8.41/1.73  thf(zip_derived_cl1067, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((mult @ X0 @ (mult @ X2 @ X1))
% 8.41/1.73           = (mult @ (mult @ X0 @ X2) @ (mult @ (rd @ X2 @ X2) @ X1)))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl525])).
% 8.41/1.73  thf(zip_derived_cl1277, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]:
% 8.41/1.73         ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1067])).
% 8.41/1.73  thf(zip_derived_cl0, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f01])).
% 8.41/1.73  thf(zip_derived_cl4, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((mult @ X0 @ (mult @ (mult @ X1 @ X1) @ X2))
% 8.41/1.73           = (mult @ (mult @ X0 @ X1) @ (mult @ X1 @ X2)))),
% 8.41/1.73      inference('cnf', [status(esa)], [f05])).
% 8.41/1.73  thf(zip_derived_cl16, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((mult @ X2 @ (mult @ (mult @ X1 @ X1) @ (ld @ X1 @ X0)))
% 8.41/1.73           = (mult @ (mult @ X2 @ X1) @ X0))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 8.41/1.73  thf(zip_derived_cl1, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f02])).
% 8.41/1.73  thf(zip_derived_cl50, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((ld @ X2 @ (mult @ (mult @ X2 @ X1) @ X0))
% 8.41/1.73           = (mult @ (mult @ X1 @ X1) @ (ld @ X1 @ X0)))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 8.41/1.73  thf(zip_derived_cl1364, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]:
% 8.41/1.73         ((ld @ X1 @ (mult @ X1 @ (mult @ X0 @ X0)))
% 8.41/1.73           = (mult @ (mult @ X0 @ X0) @ (ld @ X0 @ X0)))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl1277, zip_derived_cl50])).
% 8.41/1.73  thf(zip_derived_cl1, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f02])).
% 8.41/1.73  thf(zip_derived_cl1402, plain,
% 8.41/1.73      (![X0 : $i]:
% 8.41/1.73         ((mult @ X0 @ X0) = (mult @ (mult @ X0 @ X0) @ (ld @ X0 @ X0)))),
% 8.41/1.73      inference('demod', [status(thm)], [zip_derived_cl1364, zip_derived_cl1])).
% 8.41/1.73  thf(zip_derived_cl50, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((ld @ X2 @ (mult @ (mult @ X2 @ X1) @ X0))
% 8.41/1.73           = (mult @ (mult @ X1 @ X1) @ (ld @ X1 @ X0)))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 8.41/1.73  thf(zip_derived_cl16, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((mult @ X2 @ (mult @ (mult @ X1 @ X1) @ (ld @ X1 @ X0)))
% 8.41/1.73           = (mult @ (mult @ X2 @ X1) @ X0))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 8.41/1.73  thf(zip_derived_cl701, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.41/1.73         ((mult @ X3 @ (ld @ X2 @ (mult @ (mult @ X2 @ X1) @ X0)))
% 8.41/1.73           = (mult @ (mult @ X3 @ X1) @ X0))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl16])).
% 8.41/1.73  thf(zip_derived_cl1438, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]:
% 8.41/1.73         ((mult @ X1 @ (ld @ X0 @ (mult @ X0 @ X0)))
% 8.41/1.73           = (mult @ (mult @ X1 @ X0) @ (ld @ X0 @ X0)))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl1402, zip_derived_cl701])).
% 8.41/1.73  thf(zip_derived_cl1, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f02])).
% 8.41/1.73  thf(zip_derived_cl1485, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]:
% 8.41/1.73         ((mult @ X1 @ X0) = (mult @ (mult @ X1 @ X0) @ (ld @ X0 @ X0)))),
% 8.41/1.73      inference('demod', [status(thm)], [zip_derived_cl1438, zip_derived_cl1])).
% 8.41/1.73  thf(zip_derived_cl2096, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]:
% 8.41/1.73         ((mult @ (rd @ X0 @ X1) @ X1) = (mult @ X0 @ (ld @ X1 @ X1)))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1485])).
% 8.41/1.73  thf(zip_derived_cl2, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f03])).
% 8.41/1.73  thf(zip_derived_cl2114, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((X0) = (mult @ X0 @ (ld @ X1 @ X1)))),
% 8.41/1.73      inference('demod', [status(thm)], [zip_derived_cl2096, zip_derived_cl2])).
% 8.41/1.73  thf(zip_derived_cl525, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((mult @ (rd @ X2 @ X1) @ (mult @ X1 @ X0))
% 8.41/1.73           = (mult @ X2 @ (mult @ (rd @ X1 @ X1) @ X0)))),
% 8.41/1.73      inference('demod', [status(thm)], [zip_derived_cl519, zip_derived_cl93])).
% 8.41/1.73  thf(zip_derived_cl2149, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 8.41/1.73         ((mult @ (rd @ X2 @ X0) @ X0)
% 8.41/1.73           = (mult @ X2 @ (mult @ (rd @ X0 @ X0) @ (ld @ X1 @ X1))))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl2114, zip_derived_cl525])).
% 8.41/1.73  thf(zip_derived_cl2, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f03])).
% 8.41/1.73  thf(zip_derived_cl2114, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((X0) = (mult @ X0 @ (ld @ X1 @ X1)))),
% 8.41/1.73      inference('demod', [status(thm)], [zip_derived_cl2096, zip_derived_cl2])).
% 8.41/1.73  thf(zip_derived_cl2221, plain,
% 8.41/1.73      (![X0 : $i, X2 : $i]: ((X2) = (mult @ X2 @ (rd @ X0 @ X0)))),
% 8.41/1.73      inference('demod', [status(thm)],
% 8.41/1.73                [zip_derived_cl2149, zip_derived_cl2, zip_derived_cl2114])).
% 8.41/1.73  thf(zip_derived_cl1, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f02])).
% 8.41/1.73  thf(zip_derived_cl2271, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((ld @ X0 @ X0) = (rd @ X1 @ X1))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl2221, zip_derived_cl1])).
% 8.41/1.73  thf(zip_derived_cl2, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f03])).
% 8.41/1.73  thf(zip_derived_cl1, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f02])).
% 8.41/1.73  thf(zip_derived_cl8, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((ld @ (rd @ X0 @ X1) @ X0) = (X1))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 8.41/1.73  thf(zip_derived_cl2614, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((ld @ (ld @ X0 @ X0) @ X1) = (X1))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl2271, zip_derived_cl8])).
% 8.41/1.73  thf(zip_derived_cl0, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 8.41/1.73      inference('cnf', [status(esa)], [f01])).
% 8.41/1.73  thf(zip_derived_cl701, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.41/1.73         ((mult @ X3 @ (ld @ X2 @ (mult @ (mult @ X2 @ X1) @ X0)))
% 8.41/1.73           = (mult @ (mult @ X3 @ X1) @ X0))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl16])).
% 8.41/1.73  thf(zip_derived_cl835, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.41/1.73         ((mult @ X3 @ (ld @ X2 @ (mult @ X0 @ X1)))
% 8.41/1.73           = (mult @ (mult @ X3 @ (ld @ X2 @ X0)) @ X1))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl701])).
% 8.41/1.73  thf(zip_derived_cl2938, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.41/1.73         ((mult @ X3 @ (ld @ (ld @ X2 @ X2) @ (mult @ X0 @ X1)))
% 8.41/1.73           = (mult @ (mult @ X3 @ X0) @ X1))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl2614, zip_derived_cl835])).
% 8.41/1.73  thf(zip_derived_cl2614, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i]: ((ld @ (ld @ X0 @ X0) @ X1) = (X1))),
% 8.41/1.73      inference('sup+', [status(thm)], [zip_derived_cl2271, zip_derived_cl8])).
% 8.41/1.73  thf(zip_derived_cl2960, plain,
% 8.41/1.73      (![X0 : $i, X1 : $i, X3 : $i]:
% 8.41/1.73         ((mult @ X3 @ (mult @ X0 @ X1)) = (mult @ (mult @ X3 @ X0) @ X1))),
% 8.41/1.73      inference('demod', [status(thm)],
% 8.41/1.73                [zip_derived_cl2938, zip_derived_cl2614])).
% 8.41/1.73  thf(zip_derived_cl3555, plain,
% 8.41/1.73      (((mult @ a @ (mult @ b @ c)) != (mult @ a @ (mult @ b @ c)))),
% 8.41/1.73      inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl2960])).
% 8.41/1.73  thf(zip_derived_cl3556, plain, ($false),
% 8.41/1.73      inference('simplify', [status(thm)], [zip_derived_cl3555])).
% 8.41/1.73  
% 8.41/1.73  % SZS output end Refutation
% 8.41/1.73  
% 8.41/1.73  
% 8.41/1.73  % Terminating...
% 9.13/1.88  % Runner terminated.
% 9.13/1.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------