↑ Up

Zipperpin---2.1.9999.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP715-11 : 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.JX45xp33TQ 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 04:37:09 PM UTC 2025

% Result   : Unsatisfiable 5.68s 1.73s
% Output   : Refutation 5.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15  % Problem  : GRP715-11 : TPTP v9.2.0. Released v8.1.0.
% 0.12/0.16  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JX45xp33TQ true
% 0.14/0.39  % Computer : n022.cluster.edu
% 0.14/0.39  % Model    : x86_64 x86_64
% 0.14/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39  % Memory   : 8042.1875MB
% 0.14/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.39  % CPULimit : 300
% 0.14/0.39  % WCLimit  : 300
% 0.14/0.39  % DateTime : Wed Oct  1 14:06:53 EDT 2025
% 0.14/0.39  % CPUTime  : 
% 0.14/0.39  % Running portfolio for 300 s
% 0.14/0.39  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39  % Number of cores: 8
% 0.14/0.39  % Python version: Python 3.6.8
% 0.14/0.40  % Running in FO mode
% 0.49/0.69  % Total configuration time : 435
% 0.49/0.69  % Estimated wc time : 1092
% 0.49/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.77  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.78  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.80  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.83  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.83  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.88  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.68/1.73  % Solved by fo/fo5.sh.
% 5.68/1.73  % done 176 iterations in 0.793s
% 5.68/1.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.68/1.73  % SZS output start Refutation
% 5.68/1.73  thf(x0_type, type, x0: $i).
% 5.68/1.73  thf(unit_type, type, unit: $i).
% 5.68/1.73  thf(op_a_type, type, op_a: $i).
% 5.68/1.73  thf(mult_type, type, mult: $i > $i > $i).
% 5.68/1.73  thf(op_b_type, type, op_b: $i).
% 5.68/1.73  thf(goal, conjecture, (( mult @ ( mult @ x0 @ op_b ) @ op_a ) = ( x0 ))).
% 5.68/1.73  thf(zf_stmt_0, negated_conjecture,
% 5.68/1.73    (( mult @ ( mult @ x0 @ op_b ) @ op_a ) != ( x0 )),
% 5.68/1.73    inference('cnf.neg', [status(esa)], [goal])).
% 5.68/1.73  thf(zip_derived_cl11, plain, (((mult @ (mult @ x0 @ op_b) @ op_a) != (x0))),
% 5.68/1.73      inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.68/1.73  thf(f10, axiom, (( mult @ op_a @ op_b ) = ( unit ))).
% 5.68/1.73  thf(zip_derived_cl9, plain, (((mult @ op_a @ op_b) = (unit))),
% 5.68/1.73      inference('cnf', [status(esa)], [f10])).
% 5.68/1.73  thf(f06, axiom,
% 5.68/1.73    (( mult @ ( mult @ ( mult @ A @ B ) @ C ) @ B ) =
% 5.68/1.73     ( mult @ A @ ( mult @ ( mult @ B @ C ) @ B ) ))).
% 5.68/1.73  thf(zip_derived_cl5, plain,
% 5.68/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X1)
% 5.68/1.73           = (mult @ X0 @ (mult @ (mult @ X1 @ X2) @ X1)))),
% 5.68/1.73      inference('cnf', [status(esa)], [f06])).
% 5.68/1.73  thf(zip_derived_cl95, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ unit @ X0) @ op_b)
% 5.68/1.73           = (mult @ op_a @ (mult @ (mult @ op_b @ X0) @ op_b)))),
% 5.68/1.73      inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 5.68/1.73  thf(f09, axiom, (( mult @ unit @ A ) = ( A ))).
% 5.68/1.73  thf(zip_derived_cl8, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 5.68/1.73      inference('cnf', [status(esa)], [f09])).
% 5.68/1.73  thf(zip_derived_cl102, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ X0 @ op_b)
% 5.68/1.73           = (mult @ op_a @ (mult @ (mult @ op_b @ X0) @ op_b)))),
% 5.68/1.73      inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl8])).
% 5.68/1.73  thf(f11, axiom, (( mult @ op_b @ op_a ) = ( unit ))).
% 5.68/1.73  thf(zip_derived_cl10, plain, (((mult @ op_b @ op_a) = (unit))),
% 5.68/1.73      inference('cnf', [status(esa)], [f11])).
% 5.68/1.73  thf(zip_derived_cl5, plain,
% 5.68/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X1)
% 5.68/1.73           = (mult @ X0 @ (mult @ (mult @ X1 @ X2) @ X1)))),
% 5.68/1.73      inference('cnf', [status(esa)], [f06])).
% 5.68/1.73  thf(zip_derived_cl96, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ unit @ X0) @ op_a)
% 5.68/1.73           = (mult @ op_b @ (mult @ (mult @ op_a @ X0) @ op_a)))),
% 5.68/1.73      inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl5])).
% 5.68/1.73  thf(zip_derived_cl8, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 5.68/1.73      inference('cnf', [status(esa)], [f09])).
% 5.68/1.73  thf(zip_derived_cl103, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ X0 @ op_a)
% 5.68/1.73           = (mult @ op_b @ (mult @ (mult @ op_a @ X0) @ op_a)))),
% 5.68/1.73      inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl8])).
% 5.68/1.73  thf(zip_derived_cl225, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ op_b @ X0) @ op_b) @ op_a)
% 5.68/1.73           = (mult @ op_b @ (mult @ (mult @ X0 @ op_b) @ op_a)))),
% 5.68/1.73      inference('sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl103])).
% 5.68/1.73  thf(zip_derived_cl5, plain,
% 5.68/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X1)
% 5.68/1.73           = (mult @ X0 @ (mult @ (mult @ X1 @ X2) @ X1)))),
% 5.68/1.73      inference('cnf', [status(esa)], [f06])).
% 5.68/1.73  thf(zip_derived_cl744, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ op_b @ (mult @ (mult @ X0 @ op_b) @ op_a)) @ op_b)
% 5.68/1.73           = (mult @ (mult @ op_b @ X0) @ (mult @ (mult @ op_b @ op_a) @ op_b)))),
% 5.68/1.73      inference('sup+', [status(thm)], [zip_derived_cl225, zip_derived_cl5])).
% 5.68/1.73  thf(zip_derived_cl10, plain, (((mult @ op_b @ op_a) = (unit))),
% 5.68/1.73      inference('cnf', [status(esa)], [f11])).
% 5.68/1.73  thf(zip_derived_cl8, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 5.68/1.73      inference('cnf', [status(esa)], [f09])).
% 5.68/1.73  thf(zip_derived_cl759, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ op_b @ (mult @ (mult @ X0 @ op_b) @ op_a)) @ op_b)
% 5.68/1.73           = (mult @ (mult @ op_b @ X0) @ op_b))),
% 5.68/1.73      inference('demod', [status(thm)],
% 5.68/1.73                [zip_derived_cl744, zip_derived_cl10, zip_derived_cl8])).
% 5.68/1.73  thf(zip_derived_cl102, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ X0 @ op_b)
% 5.68/1.73           = (mult @ op_a @ (mult @ (mult @ op_b @ X0) @ op_b)))),
% 5.68/1.73      inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl8])).
% 5.68/1.73  thf(zip_derived_cl1059, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ X0 @ op_b) @ op_a) @ op_b)
% 5.68/1.73           = (mult @ op_a @ (mult @ (mult @ op_b @ X0) @ op_b)))),
% 5.68/1.73      inference('sup+', [status(thm)], [zip_derived_cl759, zip_derived_cl102])).
% 5.68/1.73  thf(zip_derived_cl102, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ X0 @ op_b)
% 5.68/1.73           = (mult @ op_a @ (mult @ (mult @ op_b @ X0) @ op_b)))),
% 5.68/1.73      inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl8])).
% 5.68/1.73  thf(zip_derived_cl1091, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ X0 @ op_b) @ op_a) @ op_b)
% 5.68/1.73           = (mult @ X0 @ op_b))),
% 5.68/1.73      inference('demod', [status(thm)], [zip_derived_cl1059, zip_derived_cl102])).
% 5.68/1.73  thf(zip_derived_cl5, plain,
% 5.68/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X1)
% 5.68/1.73           = (mult @ X0 @ (mult @ (mult @ X1 @ X2) @ X1)))),
% 5.68/1.73      inference('cnf', [status(esa)], [f06])).
% 5.68/1.73  thf(f07, axiom,
% 5.68/1.73    (( mult @ A @ ( mult @ B @ B ) ) = ( mult @ ( mult @ A @ B ) @ B ))).
% 5.68/1.73  thf(zip_derived_cl6, plain,
% 5.68/1.73      (![X0 : $i, X1 : $i]:
% 5.68/1.73         ((mult @ X0 @ (mult @ X1 @ X1)) = (mult @ (mult @ X0 @ X1) @ X1))),
% 5.68/1.73      inference('cnf', [status(esa)], [f07])).
% 5.68/1.73  thf(zip_derived_cl103, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ X0 @ op_a)
% 5.68/1.73           = (mult @ op_b @ (mult @ (mult @ op_a @ X0) @ op_a)))),
% 5.68/1.73      inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl8])).
% 5.68/1.73  thf(zip_derived_cl102, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ X0 @ op_b)
% 5.68/1.73           = (mult @ op_a @ (mult @ (mult @ op_b @ X0) @ op_b)))),
% 5.68/1.73      inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl8])).
% 5.68/1.73  thf(zip_derived_cl221, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ op_a @ X0) @ op_a) @ op_b)
% 5.68/1.73           = (mult @ op_a @ (mult @ (mult @ X0 @ op_a) @ op_b)))),
% 5.68/1.73      inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl102])).
% 5.68/1.73  thf(zip_derived_cl5, plain,
% 5.68/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X1)
% 5.68/1.73           = (mult @ X0 @ (mult @ (mult @ X1 @ X2) @ X1)))),
% 5.68/1.73      inference('cnf', [status(esa)], [f06])).
% 5.68/1.73  thf(zip_derived_cl724, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ op_a @ (mult @ (mult @ X0 @ op_a) @ op_b)) @ op_a)
% 5.68/1.73           = (mult @ (mult @ op_a @ X0) @ (mult @ (mult @ op_a @ op_b) @ op_a)))),
% 5.68/1.73      inference('sup+', [status(thm)], [zip_derived_cl221, zip_derived_cl5])).
% 5.68/1.73  thf(zip_derived_cl9, plain, (((mult @ op_a @ op_b) = (unit))),
% 5.68/1.73      inference('cnf', [status(esa)], [f10])).
% 5.68/1.73  thf(zip_derived_cl8, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 5.68/1.73      inference('cnf', [status(esa)], [f09])).
% 5.68/1.73  thf(zip_derived_cl739, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ op_a @ (mult @ (mult @ X0 @ op_a) @ op_b)) @ op_a)
% 5.68/1.73           = (mult @ (mult @ op_a @ X0) @ op_a))),
% 5.68/1.73      inference('demod', [status(thm)],
% 5.68/1.73                [zip_derived_cl724, zip_derived_cl9, zip_derived_cl8])).
% 5.68/1.73  thf(zip_derived_cl103, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ X0 @ op_a)
% 5.68/1.73           = (mult @ op_b @ (mult @ (mult @ op_a @ X0) @ op_a)))),
% 5.68/1.73      inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl8])).
% 5.68/1.73  thf(zip_derived_cl971, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ X0 @ op_a) @ op_b) @ op_a)
% 5.68/1.73           = (mult @ op_b @ (mult @ (mult @ op_a @ X0) @ op_a)))),
% 5.68/1.73      inference('sup+', [status(thm)], [zip_derived_cl739, zip_derived_cl103])).
% 5.68/1.73  thf(zip_derived_cl103, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ X0 @ op_a)
% 5.68/1.73           = (mult @ op_b @ (mult @ (mult @ op_a @ X0) @ op_a)))),
% 5.68/1.73      inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl8])).
% 5.68/1.73  thf(zip_derived_cl1004, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ X0 @ op_a) @ op_b) @ op_a)
% 5.68/1.73           = (mult @ X0 @ op_a))),
% 5.68/1.73      inference('demod', [status(thm)], [zip_derived_cl971, zip_derived_cl103])).
% 5.68/1.73  thf(zip_derived_cl1020, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ X0 @ (mult @ op_a @ op_a)) @ op_b) @ op_a)
% 5.68/1.73           = (mult @ (mult @ X0 @ op_a) @ op_a))),
% 5.68/1.73      inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1004])).
% 5.68/1.73  thf(zip_derived_cl6, plain,
% 5.68/1.73      (![X0 : $i, X1 : $i]:
% 5.68/1.73         ((mult @ X0 @ (mult @ X1 @ X1)) = (mult @ (mult @ X0 @ X1) @ X1))),
% 5.68/1.73      inference('cnf', [status(esa)], [f07])).
% 5.68/1.73  thf(zip_derived_cl1033, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ X0 @ (mult @ op_a @ op_a)) @ op_b) @ op_a)
% 5.68/1.73           = (mult @ X0 @ (mult @ op_a @ op_a)))),
% 5.68/1.73      inference('demod', [status(thm)], [zip_derived_cl1020, zip_derived_cl6])).
% 5.68/1.73  thf(zip_derived_cl1440, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ 
% 5.68/1.73           (mult @ X0 @ (mult @ (mult @ op_b @ (mult @ op_a @ op_a)) @ op_b)) @ 
% 5.68/1.73           op_a) = (mult @ (mult @ X0 @ op_b) @ (mult @ op_a @ op_a)))),
% 5.68/1.73      inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1033])).
% 5.68/1.73  thf(zip_derived_cl10, plain, (((mult @ op_b @ op_a) = (unit))),
% 5.68/1.73      inference('cnf', [status(esa)], [f11])).
% 5.68/1.73  thf(zip_derived_cl6, plain,
% 5.68/1.73      (![X0 : $i, X1 : $i]:
% 5.68/1.73         ((mult @ X0 @ (mult @ X1 @ X1)) = (mult @ (mult @ X0 @ X1) @ X1))),
% 5.68/1.73      inference('cnf', [status(esa)], [f07])).
% 5.68/1.73  thf(zip_derived_cl59, plain,
% 5.68/1.73      (((mult @ op_b @ (mult @ op_a @ op_a)) = (mult @ unit @ op_a))),
% 5.68/1.73      inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl6])).
% 5.68/1.73  thf(zip_derived_cl8, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 5.68/1.73      inference('cnf', [status(esa)], [f09])).
% 5.68/1.73  thf(zip_derived_cl63, plain,
% 5.68/1.73      (((mult @ op_b @ (mult @ op_a @ op_a)) = (op_a))),
% 5.68/1.73      inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl8])).
% 5.68/1.73  thf(zip_derived_cl9, plain, (((mult @ op_a @ op_b) = (unit))),
% 5.68/1.73      inference('cnf', [status(esa)], [f10])).
% 5.68/1.73  thf(f08, axiom, (( mult @ A @ unit ) = ( A ))).
% 5.68/1.73  thf(zip_derived_cl7, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 5.68/1.73      inference('cnf', [status(esa)], [f08])).
% 5.68/1.73  thf(zip_derived_cl1451, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ X0 @ op_a)
% 5.68/1.73           = (mult @ (mult @ X0 @ op_b) @ (mult @ op_a @ op_a)))),
% 5.68/1.73      inference('demod', [status(thm)],
% 5.68/1.73                [zip_derived_cl1440, zip_derived_cl63, zip_derived_cl9, 
% 5.68/1.73                 zip_derived_cl7])).
% 5.68/1.73  thf(zip_derived_cl1479, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ X0 @ op_b) @ op_a) @ op_a)
% 5.68/1.73           = (mult @ (mult @ X0 @ op_b) @ (mult @ op_a @ op_a)))),
% 5.68/1.73      inference('sup+', [status(thm)], [zip_derived_cl1091, zip_derived_cl1451])).
% 5.68/1.73  thf(zip_derived_cl1451, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ X0 @ op_a)
% 5.68/1.73           = (mult @ (mult @ X0 @ op_b) @ (mult @ op_a @ op_a)))),
% 5.68/1.73      inference('demod', [status(thm)],
% 5.68/1.73                [zip_derived_cl1440, zip_derived_cl63, zip_derived_cl9, 
% 5.68/1.73                 zip_derived_cl7])).
% 5.68/1.73  thf(zip_derived_cl1489, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ X0 @ op_b) @ op_a) @ op_a)
% 5.68/1.73           = (mult @ X0 @ op_a))),
% 5.68/1.73      inference('demod', [status(thm)],
% 5.68/1.73                [zip_derived_cl1479, zip_derived_cl1451])).
% 5.68/1.73  thf(zip_derived_cl1451, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ X0 @ op_a)
% 5.68/1.73           = (mult @ (mult @ X0 @ op_b) @ (mult @ op_a @ op_a)))),
% 5.68/1.73      inference('demod', [status(thm)],
% 5.68/1.73                [zip_derived_cl1440, zip_derived_cl63, zip_derived_cl9, 
% 5.68/1.73                 zip_derived_cl7])).
% 5.68/1.73  thf(zip_derived_cl5, plain,
% 5.68/1.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.68/1.73         ((mult @ (mult @ (mult @ X0 @ X1) @ X2) @ X1)
% 5.68/1.73           = (mult @ X0 @ (mult @ (mult @ X1 @ X2) @ X1)))),
% 5.68/1.73      inference('cnf', [status(esa)], [f06])).
% 5.68/1.73  thf(zip_derived_cl1472, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ X0 @ op_a) @ op_b)
% 5.68/1.73           = (mult @ X0 @ (mult @ (mult @ op_b @ (mult @ op_a @ op_a)) @ op_b)))),
% 5.68/1.73      inference('sup+', [status(thm)], [zip_derived_cl1451, zip_derived_cl5])).
% 5.68/1.73  thf(zip_derived_cl63, plain,
% 5.68/1.73      (((mult @ op_b @ (mult @ op_a @ op_a)) = (op_a))),
% 5.68/1.73      inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl8])).
% 5.68/1.73  thf(zip_derived_cl9, plain, (((mult @ op_a @ op_b) = (unit))),
% 5.68/1.73      inference('cnf', [status(esa)], [f10])).
% 5.68/1.73  thf(zip_derived_cl7, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 5.68/1.73      inference('cnf', [status(esa)], [f08])).
% 5.68/1.73  thf(zip_derived_cl1499, plain,
% 5.68/1.73      (![X0 : $i]: ((mult @ (mult @ X0 @ op_a) @ op_b) = (X0))),
% 5.68/1.73      inference('demod', [status(thm)],
% 5.68/1.73                [zip_derived_cl1472, zip_derived_cl63, zip_derived_cl9, 
% 5.68/1.73                 zip_derived_cl7])).
% 5.68/1.73  thf(zip_derived_cl1739, plain,
% 5.68/1.73      (![X0 : $i]:
% 5.68/1.73         ((mult @ (mult @ X0 @ op_a) @ op_b)
% 5.68/1.73           = (mult @ (mult @ X0 @ op_b) @ op_a))),
% 5.68/1.73      inference('sup+', [status(thm)], [zip_derived_cl1489, zip_derived_cl1499])).
% 5.68/1.73  thf(zip_derived_cl1499, plain,
% 5.68/1.73      (![X0 : $i]: ((mult @ (mult @ X0 @ op_a) @ op_b) = (X0))),
% 5.68/1.73      inference('demod', [status(thm)],
% 5.68/1.73                [zip_derived_cl1472, zip_derived_cl63, zip_derived_cl9, 
% 5.68/1.73                 zip_derived_cl7])).
% 5.68/1.73  thf(zip_derived_cl1769, plain,
% 5.68/1.73      (![X0 : $i]: ((X0) = (mult @ (mult @ X0 @ op_b) @ op_a))),
% 5.68/1.73      inference('demod', [status(thm)],
% 5.68/1.73                [zip_derived_cl1739, zip_derived_cl1499])).
% 5.68/1.73  thf(zip_derived_cl1771, plain, (((x0) != (x0))),
% 5.68/1.73      inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl1769])).
% 5.68/1.73  thf(zip_derived_cl1772, plain, ($false),
% 5.68/1.73      inference('simplify', [status(thm)], [zip_derived_cl1771])).
% 5.68/1.73  
% 5.68/1.73  % SZS output end Refutation
% 5.68/1.73  
% 5.68/1.73  
% 5.68/1.73  % Terminating...
% 6.22/1.89  % Runner terminated.
% 6.22/1.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------