%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP708-1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZQ56cqF6Wo true
% Computer : n014.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 04:37:08 PM UTC 2025
% Result : Unsatisfiable 22.91s 3.95s
% Output : Refutation 22.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP708-1 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZQ56cqF6Wo true
% 0.14/0.35 % Computer : n014.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
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 14:05:08 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.52/0.67 % Total configuration time : 435
% 0.52/0.67 % Estimated wc time : 1092
% 0.52/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 22.91/3.95 % Solved by fo/fo13.sh.
% 22.91/3.95 % done 722 iterations in 3.155s
% 22.91/3.95 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 22.91/3.95 % SZS output start Refutation
% 22.91/3.95 thf(op_c_type, type, op_c: $i).
% 22.91/3.95 thf(ld_type, type, ld: $i > $i > $i).
% 22.91/3.95 thf(rd_type, type, rd: $i > $i > $i).
% 22.91/3.95 thf(b_type, type, b: $i).
% 22.91/3.95 thf(mult_type, type, mult: $i > $i > $i).
% 22.91/3.95 thf(a_type, type, a: $i).
% 22.91/3.95 thf(unit_type, type, unit: $i).
% 22.91/3.95 thf(goals, conjecture,
% 22.91/3.95 (( mult @ a @ ( mult @ b @ op_c ) ) = ( mult @ ( mult @ a @ b ) @ op_c ))).
% 22.91/3.95 thf(zf_stmt_0, negated_conjecture,
% 22.91/3.95 (( mult @ a @ ( mult @ b @ op_c ) ) != ( mult @ ( mult @ a @ b ) @ op_c )),
% 22.91/3.95 inference('cnf.neg', [status(esa)], [goals])).
% 22.91/3.95 thf(zip_derived_cl9, plain,
% 22.91/3.95 (((mult @ a @ (mult @ b @ op_c)) != (mult @ (mult @ a @ b) @ op_c))),
% 22.91/3.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 22.91/3.95 thf(c08, axiom, (( mult @ op_c @ A ) = ( mult @ A @ op_c ))).
% 22.91/3.95 thf(zip_derived_cl7, plain,
% 22.91/3.95 (![X0 : $i]: ((mult @ op_c @ X0) = (mult @ X0 @ op_c))),
% 22.91/3.95 inference('cnf', [status(esa)], [c08])).
% 22.91/3.95 thf(zip_derived_cl7, plain,
% 22.91/3.95 (![X0 : $i]: ((mult @ op_c @ X0) = (mult @ X0 @ op_c))),
% 22.91/3.95 inference('cnf', [status(esa)], [c08])).
% 22.91/3.95 thf(zip_derived_cl10, plain,
% 22.91/3.95 (((mult @ a @ (mult @ op_c @ b)) != (mult @ op_c @ (mult @ a @ b)))),
% 22.91/3.95 inference('demod', [status(thm)],
% 22.91/3.95 [zip_derived_cl9, zip_derived_cl7, zip_derived_cl7])).
% 22.91/3.95 thf(c02, axiom, (( ld @ A @ ( mult @ A @ B ) ) = ( B ))).
% 22.91/3.95 thf(zip_derived_cl1, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c02])).
% 22.91/3.95 thf(c01, axiom, (( mult @ A @ ( ld @ A @ B ) ) = ( B ))).
% 22.91/3.95 thf(zip_derived_cl0, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c01])).
% 22.91/3.95 thf(c06, axiom, (( mult @ unit @ A ) = ( A ))).
% 22.91/3.95 thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c06])).
% 22.91/3.95 thf(c07, axiom,
% 22.91/3.95 (( mult @ A @ ( mult @ B @ ( mult @ A @ C ) ) ) =
% 22.91/3.95 ( mult @ ( mult @ A @ ( mult @ B @ A ) ) @ C ))).
% 22.91/3.95 thf(zip_derived_cl6, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.91/3.95 ((mult @ X0 @ (mult @ X1 @ (mult @ X0 @ X2)))
% 22.91/3.95 = (mult @ (mult @ X0 @ (mult @ X1 @ X0)) @ X2))),
% 22.91/3.95 inference('cnf', [status(esa)], [c07])).
% 22.91/3.95 thf(c04, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 22.91/3.95 thf(zip_derived_cl3, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c04])).
% 22.91/3.95 thf(zip_derived_cl46, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.91/3.95 ((rd @ (mult @ X1 @ (mult @ X2 @ (mult @ X1 @ X0))) @ X0)
% 22.91/3.95 = (mult @ X1 @ (mult @ X2 @ X1)))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 22.91/3.95 thf(zip_derived_cl408, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((rd @ (mult @ X1 @ (mult @ X1 @ X0)) @ X0)
% 22.91/3.95 = (mult @ X1 @ (mult @ unit @ X1)))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl46])).
% 22.91/3.95 thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c06])).
% 22.91/3.95 thf(zip_derived_cl426, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((rd @ (mult @ X1 @ (mult @ X1 @ X0)) @ X0) = (mult @ X1 @ X1))),
% 22.91/3.95 inference('demod', [status(thm)], [zip_derived_cl408, zip_derived_cl5])).
% 22.91/3.95 thf(zip_derived_cl976, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((rd @ (mult @ X1 @ X0) @ (ld @ X1 @ X0)) = (mult @ X1 @ X1))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl426])).
% 22.91/3.95 thf(c03, axiom, (( mult @ ( rd @ A @ B ) @ B ) = ( A ))).
% 22.91/3.95 thf(zip_derived_cl2, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c03])).
% 22.91/3.95 thf(zip_derived_cl1, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c02])).
% 22.91/3.95 thf(zip_derived_cl33, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((ld @ (rd @ X0 @ X1) @ X0) = (X1))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 22.91/3.95 thf(zip_derived_cl1190, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((ld @ (mult @ X0 @ X0) @ (mult @ X0 @ X1)) = (ld @ X0 @ X1))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl976, zip_derived_cl33])).
% 22.91/3.95 thf(zip_derived_cl0, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c01])).
% 22.91/3.95 thf(c09, axiom,
% 22.91/3.95 (( mult @ ( mult @ op_c @ op_c ) @ ( mult @ A @ B ) ) =
% 22.91/3.95 ( mult @ ( mult @ ( mult @ op_c @ op_c ) @ A ) @ B ))).
% 22.91/3.95 thf(zip_derived_cl8, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((mult @ (mult @ op_c @ op_c) @ (mult @ X0 @ X1))
% 22.91/3.95 = (mult @ (mult @ (mult @ op_c @ op_c) @ X0) @ X1))),
% 22.91/3.95 inference('cnf', [status(esa)], [c09])).
% 22.91/3.95 thf(zip_derived_cl21, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((mult @ (mult @ op_c @ op_c) @
% 22.91/3.95 (mult @ (ld @ (mult @ op_c @ op_c) @ X0) @ X1)) = (mult @ X0 @ X1))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl8])).
% 22.91/3.95 thf(zip_derived_cl1, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c02])).
% 22.91/3.95 thf(zip_derived_cl147, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((ld @ (mult @ op_c @ op_c) @ (mult @ X1 @ X0))
% 22.91/3.95 = (mult @ (ld @ (mult @ op_c @ op_c) @ X1) @ X0))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 22.91/3.95 thf(zip_derived_cl3163, plain,
% 22.91/3.95 (![X0 : $i]:
% 22.91/3.95 ((ld @ op_c @ X0) = (mult @ (ld @ (mult @ op_c @ op_c) @ op_c) @ X0))),
% 22.91/3.95 inference('s_sup+', [status(thm)],
% 22.91/3.95 [zip_derived_cl1190, zip_derived_cl147])).
% 22.91/3.95 thf(c05, axiom, (( mult @ A @ unit ) = ( A ))).
% 22.91/3.95 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c05])).
% 22.91/3.95 thf(zip_derived_cl976, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((rd @ (mult @ X1 @ X0) @ (ld @ X1 @ X0)) = (mult @ X1 @ X1))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl426])).
% 22.91/3.95 thf(zip_derived_cl1209, plain,
% 22.91/3.95 (![X0 : $i]: ((rd @ X0 @ (ld @ X0 @ unit)) = (mult @ X0 @ X0))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl976])).
% 22.91/3.95 thf(zip_derived_cl33, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((ld @ (rd @ X0 @ X1) @ X0) = (X1))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 22.91/3.95 thf(zip_derived_cl1239, plain,
% 22.91/3.95 (![X0 : $i]: ((ld @ (mult @ X0 @ X0) @ X0) = (ld @ X0 @ unit))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl1209, zip_derived_cl33])).
% 22.91/3.95 thf(zip_derived_cl3206, plain,
% 22.91/3.95 (![X0 : $i]: ((ld @ op_c @ X0) = (mult @ (ld @ op_c @ unit) @ X0))),
% 22.91/3.95 inference('demod', [status(thm)],
% 22.91/3.95 [zip_derived_cl3163, zip_derived_cl1239])).
% 22.91/3.95 thf(zip_derived_cl7, plain,
% 22.91/3.95 (![X0 : $i]: ((mult @ op_c @ X0) = (mult @ X0 @ op_c))),
% 22.91/3.95 inference('cnf', [status(esa)], [c08])).
% 22.91/3.95 thf(zip_derived_cl6, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.91/3.95 ((mult @ X0 @ (mult @ X1 @ (mult @ X0 @ X2)))
% 22.91/3.95 = (mult @ (mult @ X0 @ (mult @ X1 @ X0)) @ X2))),
% 22.91/3.95 inference('cnf', [status(esa)], [c07])).
% 22.91/3.95 thf(zip_derived_cl50, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((mult @ X0 @ (mult @ X1 @ (mult @ X0 @ op_c)))
% 22.91/3.95 = (mult @ op_c @ (mult @ X0 @ (mult @ X1 @ X0))))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 22.91/3.95 thf(zip_derived_cl3291, plain,
% 22.91/3.95 (![X0 : $i]:
% 22.91/3.95 ((ld @ op_c @ (mult @ X0 @ (mult @ (ld @ op_c @ unit) @ op_c)))
% 22.91/3.95 = (mult @ op_c @
% 22.91/3.95 (mult @ (ld @ op_c @ unit) @ (mult @ X0 @ (ld @ op_c @ unit)))))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl3206, zip_derived_cl50])).
% 22.91/3.95 thf(zip_derived_cl3206, plain,
% 22.91/3.95 (![X0 : $i]: ((ld @ op_c @ X0) = (mult @ (ld @ op_c @ unit) @ X0))),
% 22.91/3.95 inference('demod', [status(thm)],
% 22.91/3.95 [zip_derived_cl3163, zip_derived_cl1239])).
% 22.91/3.95 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c05])).
% 22.91/3.95 thf(zip_derived_cl1, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c02])).
% 22.91/3.95 thf(zip_derived_cl28, plain, (![X0 : $i]: ((ld @ X0 @ X0) = (unit))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 22.91/3.95 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c05])).
% 22.91/3.95 thf(zip_derived_cl3206, plain,
% 22.91/3.95 (![X0 : $i]: ((ld @ op_c @ X0) = (mult @ (ld @ op_c @ unit) @ X0))),
% 22.91/3.95 inference('demod', [status(thm)],
% 22.91/3.95 [zip_derived_cl3163, zip_derived_cl1239])).
% 22.91/3.95 thf(zip_derived_cl0, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c01])).
% 22.91/3.95 thf(zip_derived_cl3362, plain,
% 22.91/3.95 (![X0 : $i]: ((ld @ op_c @ X0) = (mult @ X0 @ (ld @ op_c @ unit)))),
% 22.91/3.95 inference('demod', [status(thm)],
% 22.91/3.95 [zip_derived_cl3291, zip_derived_cl3206, zip_derived_cl28,
% 22.91/3.95 zip_derived_cl4, zip_derived_cl3206, zip_derived_cl0])).
% 22.91/3.95 thf(zip_derived_cl8, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((mult @ (mult @ op_c @ op_c) @ (mult @ X0 @ X1))
% 22.91/3.95 = (mult @ (mult @ (mult @ op_c @ op_c) @ X0) @ X1))),
% 22.91/3.95 inference('cnf', [status(esa)], [c09])).
% 22.91/3.95 thf(zip_derived_cl6, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.91/3.95 ((mult @ X0 @ (mult @ X1 @ (mult @ X0 @ X2)))
% 22.91/3.95 = (mult @ (mult @ X0 @ (mult @ X1 @ X0)) @ X2))),
% 22.91/3.95 inference('cnf', [status(esa)], [c07])).
% 22.91/3.95 thf(zip_derived_cl59, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.91/3.95 ((mult @ X0 @
% 22.91/3.95 (mult @ (mult @ (mult @ op_c @ op_c) @ X1) @ (mult @ X0 @ X2)))
% 22.91/3.95 = (mult @
% 22.91/3.95 (mult @ X0 @ (mult @ (mult @ op_c @ op_c) @ (mult @ X1 @ X0))) @
% 22.91/3.95 X2))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 22.91/3.95 thf(zip_derived_cl8, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((mult @ (mult @ op_c @ op_c) @ (mult @ X0 @ X1))
% 22.91/3.95 = (mult @ (mult @ (mult @ op_c @ op_c) @ X0) @ X1))),
% 22.91/3.95 inference('cnf', [status(esa)], [c09])).
% 22.91/3.95 thf(zip_derived_cl68, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.91/3.95 ((mult @ X0 @
% 22.91/3.95 (mult @ (mult @ op_c @ op_c) @ (mult @ X1 @ (mult @ X0 @ X2))))
% 22.91/3.95 = (mult @
% 22.91/3.95 (mult @ X0 @ (mult @ (mult @ op_c @ op_c) @ (mult @ X1 @ X0))) @
% 22.91/3.95 X2))),
% 22.91/3.95 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl8])).
% 22.91/3.95 thf(zip_derived_cl7, plain,
% 22.91/3.95 (![X0 : $i]: ((mult @ op_c @ X0) = (mult @ X0 @ op_c))),
% 22.91/3.95 inference('cnf', [status(esa)], [c08])).
% 22.91/3.95 thf(zip_derived_cl1, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c02])).
% 22.91/3.95 thf(zip_derived_cl32, plain,
% 22.91/3.95 (![X0 : $i]: ((ld @ op_c @ (mult @ X0 @ op_c)) = (X0))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 22.91/3.95 thf(zip_derived_cl976, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((rd @ (mult @ X1 @ X0) @ (ld @ X1 @ X0)) = (mult @ X1 @ X1))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl426])).
% 22.91/3.95 thf(zip_derived_cl2, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c03])).
% 22.91/3.95 thf(zip_derived_cl1189, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((mult @ (mult @ X0 @ X0) @ (ld @ X0 @ X1)) = (mult @ X0 @ X1))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl976, zip_derived_cl2])).
% 22.91/3.95 thf(zip_derived_cl1670, plain,
% 22.91/3.95 (![X0 : $i]:
% 22.91/3.95 ((mult @ (mult @ op_c @ op_c) @ X0)
% 22.91/3.95 = (mult @ op_c @ (mult @ X0 @ op_c)))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl1189])).
% 22.91/3.95 thf(zip_derived_cl7, plain,
% 22.91/3.95 (![X0 : $i]: ((mult @ op_c @ X0) = (mult @ X0 @ op_c))),
% 22.91/3.95 inference('cnf', [status(esa)], [c08])).
% 22.91/3.95 thf(zip_derived_cl1670, plain,
% 22.91/3.95 (![X0 : $i]:
% 22.91/3.95 ((mult @ (mult @ op_c @ op_c) @ X0)
% 22.91/3.95 = (mult @ op_c @ (mult @ X0 @ op_c)))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl1189])).
% 22.91/3.95 thf(zip_derived_cl7, plain,
% 22.91/3.95 (![X0 : $i]: ((mult @ op_c @ X0) = (mult @ X0 @ op_c))),
% 22.91/3.95 inference('cnf', [status(esa)], [c08])).
% 22.91/3.95 thf(zip_derived_cl2346, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.91/3.95 ((mult @ X0 @
% 22.91/3.95 (mult @ op_c @ (mult @ op_c @ (mult @ X1 @ (mult @ X0 @ X2)))))
% 22.91/3.95 = (mult @
% 22.91/3.95 (mult @ X0 @ (mult @ op_c @ (mult @ op_c @ (mult @ X1 @ X0)))) @
% 22.91/3.95 X2))),
% 22.91/3.95 inference('demod', [status(thm)],
% 22.91/3.95 [zip_derived_cl68, zip_derived_cl1670, zip_derived_cl7,
% 22.91/3.95 zip_derived_cl1670, zip_derived_cl7])).
% 22.91/3.95 thf(zip_derived_cl3855, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((mult @ (ld @ op_c @ unit) @
% 22.91/3.95 (mult @ op_c @
% 22.91/3.95 (mult @ op_c @ (mult @ X0 @ (mult @ (ld @ op_c @ unit) @ X1)))))
% 22.91/3.95 = (mult @
% 22.91/3.95 (mult @ (ld @ op_c @ unit) @
% 22.91/3.95 (mult @ op_c @ (mult @ op_c @ (ld @ op_c @ X0)))) @
% 22.91/3.95 X1))),
% 22.91/3.95 inference('s_sup+', [status(thm)],
% 22.91/3.95 [zip_derived_cl3362, zip_derived_cl2346])).
% 22.91/3.95 thf(zip_derived_cl3206, plain,
% 22.91/3.95 (![X0 : $i]: ((ld @ op_c @ X0) = (mult @ (ld @ op_c @ unit) @ X0))),
% 22.91/3.95 inference('demod', [status(thm)],
% 22.91/3.95 [zip_derived_cl3163, zip_derived_cl1239])).
% 22.91/3.95 thf(zip_derived_cl3206, plain,
% 22.91/3.95 (![X0 : $i]: ((ld @ op_c @ X0) = (mult @ (ld @ op_c @ unit) @ X0))),
% 22.91/3.95 inference('demod', [status(thm)],
% 22.91/3.95 [zip_derived_cl3163, zip_derived_cl1239])).
% 22.91/3.95 thf(zip_derived_cl1, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c02])).
% 22.91/3.95 thf(zip_derived_cl0, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c01])).
% 22.91/3.95 thf(zip_derived_cl3206, plain,
% 22.91/3.95 (![X0 : $i]: ((ld @ op_c @ X0) = (mult @ (ld @ op_c @ unit) @ X0))),
% 22.91/3.95 inference('demod', [status(thm)],
% 22.91/3.95 [zip_derived_cl3163, zip_derived_cl1239])).
% 22.91/3.95 thf(zip_derived_cl1, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 22.91/3.95 inference('cnf', [status(esa)], [c02])).
% 22.91/3.95 thf(zip_derived_cl3904, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((mult @ op_c @ (mult @ X0 @ (ld @ op_c @ X1))) = (mult @ X0 @ X1))),
% 22.91/3.95 inference('demod', [status(thm)],
% 22.91/3.95 [zip_derived_cl3855, zip_derived_cl3206, zip_derived_cl3206,
% 22.91/3.95 zip_derived_cl1, zip_derived_cl0, zip_derived_cl3206,
% 22.91/3.95 zip_derived_cl1])).
% 22.91/3.95 thf(zip_derived_cl9315, plain,
% 22.91/3.95 (![X0 : $i, X1 : $i]:
% 22.91/3.95 ((mult @ op_c @ (mult @ X1 @ X0)) = (mult @ X1 @ (mult @ op_c @ X0)))),
% 22.91/3.95 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl3904])).
% 22.91/3.95 thf(zip_derived_cl10862, plain,
% 22.91/3.95 (((mult @ op_c @ (mult @ a @ b)) != (mult @ op_c @ (mult @ a @ b)))),
% 22.91/3.95 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl9315])).
% 22.91/3.95 thf(zip_derived_cl10863, plain, ($false),
% 22.91/3.95 inference('simplify', [status(thm)], [zip_derived_cl10862])).
% 22.91/3.95
% 22.91/3.95 % SZS output end Refutation
% 22.91/3.95
% 22.91/3.95
% 22.91/3.95 % Terminating...
% 23.64/4.02 % Runner terminated.
% 23.64/4.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------