%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP728-1 : 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.MrCn5YAUzU true
% Computer : n009.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 04:37:10 PM UTC 2025
% Result : Unsatisfiable 73.11s 11.10s
% Output : Refutation 73.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP728-1 : 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.MrCn5YAUzU true
% 0.14/0.35 % Computer : n009.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 14:26:38 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
% 0.56/0.66 % Total configuration time : 435
% 0.56/0.66 % Estimated wc time : 1092
% 0.56/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /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
% 73.11/11.10 % Solved by fo/fo6_bce.sh.
% 73.11/11.10 % BCE start: 23
% 73.11/11.10 % BCE eliminated: 0
% 73.11/11.10 % PE start: 23
% 73.11/11.10 logic: eq
% 73.11/11.10 % PE eliminated: 0
% 73.11/11.10 % done 1024 iterations in 10.342s
% 73.11/11.10 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 73.11/11.10 % SZS output start Refutation
% 73.11/11.10 thf(b_type, type, b: $i).
% 73.11/11.10 thf(op_k_type, type, op_k: $i > $i > $i).
% 73.11/11.10 thf(a_type, type, a: $i).
% 73.11/11.10 thf(asoc_type, type, asoc: $i > $i > $i > $i).
% 73.11/11.10 thf(rd_type, type, rd: $i > $i > $i).
% 73.11/11.10 thf(unit_type, type, unit: $i).
% 73.11/11.10 thf(mult_type, type, mult: $i > $i > $i).
% 73.11/11.10 thf(c_type, type, c: $i).
% 73.11/11.10 thf(i_type, type, i: $i > $i).
% 73.11/11.10 thf(goals, conjecture, (( op_k @ ( op_k @ a @ b ) @ c ) = ( unit ))).
% 73.11/11.10 thf(zf_stmt_0, negated_conjecture,
% 73.11/11.10 (( op_k @ ( op_k @ a @ b ) @ c ) != ( unit )),
% 73.11/11.10 inference('cnf.neg', [status(esa)], [goals])).
% 73.11/11.10 thf(zip_derived_cl22, plain, (((op_k @ (op_k @ a @ b) @ c) != (unit))),
% 73.11/11.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 73.11/11.10 thf(c11, axiom,
% 73.11/11.10 (( mult @ A @ B ) = ( mult @ ( mult @ B @ A ) @ ( op_k @ A @ B ) ))).
% 73.11/11.10 thf(zip_derived_cl10, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((mult @ X1 @ X0) = (mult @ (mult @ X0 @ X1) @ (op_k @ X1 @ X0)))),
% 73.11/11.10 inference('cnf', [status(esa)], [c11])).
% 73.11/11.10 thf(c05, axiom,
% 73.11/11.10 (( i @ ( mult @ A @ B ) ) = ( mult @ ( i @ A ) @ ( i @ B ) ))).
% 73.11/11.10 thf(zip_derived_cl4, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((i @ (mult @ X0 @ X1)) = (mult @ (i @ X0) @ (i @ X1)))),
% 73.11/11.10 inference('cnf', [status(esa)], [c05])).
% 73.11/11.10 thf(c06, axiom, (( mult @ ( i @ A ) @ ( mult @ A @ B ) ) = ( B ))).
% 73.11/11.10 thf(zip_derived_cl5, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]: ((mult @ (i @ X1) @ (mult @ X1 @ X0)) = (X0))),
% 73.11/11.10 inference('cnf', [status(esa)], [c06])).
% 73.11/11.10 thf(zip_derived_cl48, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((mult @ (i @ (i @ X1)) @ (i @ (mult @ X1 @ X0))) = (i @ X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 73.11/11.10 thf(c04, axiom, (( mult @ ( i @ A ) @ A ) = ( unit ))).
% 73.11/11.10 thf(zip_derived_cl3, plain, (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 73.11/11.10 inference('cnf', [status(esa)], [c04])).
% 73.11/11.10 thf(c07, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 73.11/11.10 thf(zip_derived_cl6, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 73.11/11.10 inference('cnf', [status(esa)], [c07])).
% 73.11/11.10 thf(zip_derived_cl38, plain, (![X0 : $i]: ((rd @ unit @ X0) = (i @ X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 73.11/11.10 thf(c03, axiom, (( mult @ A @ ( i @ A ) ) = ( unit ))).
% 73.11/11.10 thf(zip_derived_cl2, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 73.11/11.10 inference('cnf', [status(esa)], [c03])).
% 73.11/11.10 thf(zip_derived_cl6, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 73.11/11.10 inference('cnf', [status(esa)], [c07])).
% 73.11/11.10 thf(zip_derived_cl36, plain, (![X0 : $i]: ((rd @ unit @ (i @ X0)) = (X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 73.11/11.10 thf(zip_derived_cl130, plain, (![X0 : $i]: ((i @ (i @ X0)) = (X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl36])).
% 73.11/11.10 thf(zip_derived_cl503, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X1 @ X0))) = (i @ X0))),
% 73.11/11.10 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl130])).
% 73.11/11.10 thf(zip_derived_cl526, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((mult @ (mult @ X0 @ X1) @ (i @ (mult @ X1 @ X0)))
% 73.11/11.10 = (i @ (op_k @ X1 @ X0)))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl503])).
% 73.11/11.10 thf(c10, axiom,
% 73.11/11.10 (( mult @ ( mult @ A @ B ) @ C ) =
% 73.11/11.10 ( mult @ ( mult @ A @ ( mult @ B @ C ) ) @ ( asoc @ A @ B @ C ) ))).
% 73.11/11.10 thf(zip_derived_cl9, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 73.11/11.10 ((mult @ (mult @ X0 @ X1) @ X2)
% 73.11/11.10 = (mult @ (mult @ X0 @ (mult @ X1 @ X2)) @ (asoc @ X0 @ X1 @ X2)))),
% 73.11/11.10 inference('cnf', [status(esa)], [c10])).
% 73.11/11.10 thf(zip_derived_cl503, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X1 @ X0))) = (i @ X0))),
% 73.11/11.10 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl130])).
% 73.11/11.10 thf(zip_derived_cl525, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 73.11/11.10 ((mult @ (mult @ X2 @ (mult @ X1 @ X0)) @
% 73.11/11.10 (i @ (mult @ (mult @ X2 @ X1) @ X0))) = (i @ (asoc @ X2 @ X1 @ X0)))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl503])).
% 73.11/11.10 thf(zip_derived_cl45892, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((mult @ (mult @ X0 @ (mult @ X1 @ (i @ (mult @ X1 @ X0)))) @
% 73.11/11.10 (i @ (i @ (op_k @ X1 @ X0))))
% 73.11/11.10 = (i @ (asoc @ X0 @ X1 @ (i @ (mult @ X1 @ X0)))))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl526, zip_derived_cl525])).
% 73.11/11.10 thf(zip_derived_cl503, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X1 @ X0))) = (i @ X0))),
% 73.11/11.10 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl130])).
% 73.11/11.10 thf(zip_derived_cl2, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 73.11/11.10 inference('cnf', [status(esa)], [c03])).
% 73.11/11.10 thf(zip_derived_cl130, plain, (![X0 : $i]: ((i @ (i @ X0)) = (X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl36])).
% 73.11/11.10 thf(c01, axiom, (( mult @ unit @ A ) = ( A ))).
% 73.11/11.10 thf(zip_derived_cl0, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 73.11/11.10 inference('cnf', [status(esa)], [c01])).
% 73.11/11.10 thf(zip_derived_cl46197, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((op_k @ X1 @ X0) = (i @ (asoc @ X0 @ X1 @ (i @ (mult @ X1 @ X0)))))),
% 73.11/11.10 inference('demod', [status(thm)],
% 73.11/11.10 [zip_derived_cl45892, zip_derived_cl503, zip_derived_cl2,
% 73.11/11.10 zip_derived_cl130, zip_derived_cl0])).
% 73.11/11.10 thf(zip_derived_cl526, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((mult @ (mult @ X0 @ X1) @ (i @ (mult @ X1 @ X0)))
% 73.11/11.10 = (i @ (op_k @ X1 @ X0)))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl503])).
% 73.11/11.10 thf(c21, axiom, (( asoc @ ( asoc @ A @ B @ C ) @ D @ E ) = ( unit ))).
% 73.11/11.10 thf(zip_derived_cl20, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 73.11/11.10 ((asoc @ (asoc @ X0 @ X1 @ X2) @ X3 @ X4) = (unit))),
% 73.11/11.10 inference('cnf', [status(esa)], [c21])).
% 73.11/11.10 thf(zip_derived_cl9, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 73.11/11.10 ((mult @ (mult @ X0 @ X1) @ X2)
% 73.11/11.10 = (mult @ (mult @ X0 @ (mult @ X1 @ X2)) @ (asoc @ X0 @ X1 @ X2)))),
% 73.11/11.10 inference('cnf', [status(esa)], [c10])).
% 73.11/11.10 thf(zip_derived_cl98, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 73.11/11.10 ((mult @ (mult @ (asoc @ X4 @ X3 @ X2) @ X1) @ X0)
% 73.11/11.10 = (mult @ (mult @ (asoc @ X4 @ X3 @ X2) @ (mult @ X1 @ X0)) @ unit))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl9])).
% 73.11/11.10 thf(c02, axiom, (( mult @ A @ unit ) = ( A ))).
% 73.11/11.10 thf(zip_derived_cl1, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 73.11/11.10 inference('cnf', [status(esa)], [c02])).
% 73.11/11.10 thf(zip_derived_cl114, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 73.11/11.10 ((mult @ (mult @ (asoc @ X4 @ X3 @ X2) @ X1) @ X0)
% 73.11/11.10 = (mult @ (asoc @ X4 @ X3 @ X2) @ (mult @ X1 @ X0)))),
% 73.11/11.10 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl1])).
% 73.11/11.10 thf(zip_derived_cl29221, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 73.11/11.10 ((i @ (op_k @ X3 @ (asoc @ X2 @ X1 @ X0)))
% 73.11/11.10 = (mult @ (asoc @ X2 @ X1 @ X0) @
% 73.11/11.10 (mult @ X3 @ (i @ (mult @ X3 @ (asoc @ X2 @ X1 @ X0))))))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl526, zip_derived_cl114])).
% 73.11/11.10 thf(zip_derived_cl503, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X1 @ X0))) = (i @ X0))),
% 73.11/11.10 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl130])).
% 73.11/11.10 thf(zip_derived_cl2, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 73.11/11.10 inference('cnf', [status(esa)], [c03])).
% 73.11/11.10 thf(zip_derived_cl29600, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 73.11/11.10 ((i @ (op_k @ X3 @ (asoc @ X2 @ X1 @ X0))) = (unit))),
% 73.11/11.10 inference('demod', [status(thm)],
% 73.11/11.10 [zip_derived_cl29221, zip_derived_cl503, zip_derived_cl2])).
% 73.11/11.10 thf(zip_derived_cl36, plain, (![X0 : $i]: ((rd @ unit @ (i @ X0)) = (X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 73.11/11.10 thf(zip_derived_cl30757, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 73.11/11.10 ((rd @ unit @ unit) = (op_k @ X3 @ (asoc @ X2 @ X1 @ X0)))),
% 73.11/11.10 inference('s_sup+', [status(thm)],
% 73.11/11.10 [zip_derived_cl29600, zip_derived_cl36])).
% 73.11/11.10 thf(zip_derived_cl38, plain, (![X0 : $i]: ((rd @ unit @ X0) = (i @ X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 73.11/11.10 thf(zip_derived_cl2, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 73.11/11.10 inference('cnf', [status(esa)], [c03])).
% 73.11/11.10 thf(zip_derived_cl0, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 73.11/11.10 inference('cnf', [status(esa)], [c01])).
% 73.11/11.10 thf(zip_derived_cl23, plain, (((unit) = (i @ unit))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 73.11/11.10 thf(zip_derived_cl30887, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 73.11/11.10 ((unit) = (op_k @ X3 @ (asoc @ X2 @ X1 @ X0)))),
% 73.11/11.10 inference('demod', [status(thm)],
% 73.11/11.10 [zip_derived_cl30757, zip_derived_cl38, zip_derived_cl23])).
% 73.11/11.10 thf(zip_derived_cl130, plain, (![X0 : $i]: ((i @ (i @ X0)) = (X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl36])).
% 73.11/11.10 thf(zip_derived_cl4, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((i @ (mult @ X0 @ X1)) = (mult @ (i @ X0) @ (i @ X1)))),
% 73.11/11.10 inference('cnf', [status(esa)], [c05])).
% 73.11/11.10 thf(zip_derived_cl10, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((mult @ X1 @ X0) = (mult @ (mult @ X0 @ X1) @ (op_k @ X1 @ X0)))),
% 73.11/11.10 inference('cnf', [status(esa)], [c11])).
% 73.11/11.10 thf(zip_derived_cl146, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((mult @ (i @ X0) @ (i @ X1))
% 73.11/11.10 = (mult @ (i @ (mult @ X1 @ X0)) @ (op_k @ (i @ X0) @ (i @ X1))))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 73.11/11.10 thf(zip_derived_cl4, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((i @ (mult @ X0 @ X1)) = (mult @ (i @ X0) @ (i @ X1)))),
% 73.11/11.10 inference('cnf', [status(esa)], [c05])).
% 73.11/11.10 thf(zip_derived_cl152, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((i @ (mult @ X0 @ X1))
% 73.11/11.10 = (mult @ (i @ (mult @ X1 @ X0)) @ (op_k @ (i @ X0) @ (i @ X1))))),
% 73.11/11.10 inference('demod', [status(thm)], [zip_derived_cl146, zip_derived_cl4])).
% 73.11/11.10 thf(zip_derived_cl503, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X1 @ X0))) = (i @ X0))),
% 73.11/11.10 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl130])).
% 73.11/11.10 thf(zip_derived_cl6502, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((mult @ (i @ (mult @ X0 @ X1)) @ (i @ (i @ (mult @ X1 @ X0))))
% 73.11/11.10 = (i @ (op_k @ (i @ X1) @ (i @ X0))))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl503])).
% 73.11/11.10 thf(zip_derived_cl130, plain, (![X0 : $i]: ((i @ (i @ X0)) = (X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl36])).
% 73.11/11.10 thf(zip_derived_cl10, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((mult @ X1 @ X0) = (mult @ (mult @ X0 @ X1) @ (op_k @ X1 @ X0)))),
% 73.11/11.10 inference('cnf', [status(esa)], [c11])).
% 73.11/11.10 thf(zip_derived_cl5, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]: ((mult @ (i @ X1) @ (mult @ X1 @ X0)) = (X0))),
% 73.11/11.10 inference('cnf', [status(esa)], [c06])).
% 73.11/11.10 thf(zip_derived_cl134, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((mult @ (i @ (mult @ X0 @ X1)) @ (mult @ X1 @ X0)) = (op_k @ X1 @ X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl5])).
% 73.11/11.10 thf(zip_derived_cl6620, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((op_k @ X1 @ X0) = (i @ (op_k @ (i @ X1) @ (i @ X0))))),
% 73.11/11.10 inference('demod', [status(thm)],
% 73.11/11.10 [zip_derived_cl6502, zip_derived_cl130, zip_derived_cl134])).
% 73.11/11.10 thf(zip_derived_cl130, plain, (![X0 : $i]: ((i @ (i @ X0)) = (X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl36])).
% 73.11/11.10 thf(zip_derived_cl6636, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((i @ (op_k @ X1 @ X0)) = (op_k @ (i @ X1) @ (i @ X0)))),
% 73.11/11.10 inference('s_sup+', [status(thm)],
% 73.11/11.10 [zip_derived_cl6620, zip_derived_cl130])).
% 73.11/11.10 thf(zip_derived_cl6821, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((i @ (op_k @ X1 @ (i @ X0))) = (op_k @ (i @ X1) @ X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)],
% 73.11/11.10 [zip_derived_cl130, zip_derived_cl6636])).
% 73.11/11.10 thf(zip_derived_cl36, plain, (![X0 : $i]: ((rd @ unit @ (i @ X0)) = (X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 73.11/11.10 thf(zip_derived_cl7062, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((rd @ unit @ (op_k @ (i @ X1) @ X0)) = (op_k @ X1 @ (i @ X0)))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl6821, zip_derived_cl36])).
% 73.11/11.10 thf(zip_derived_cl31392, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 73.11/11.10 ((rd @ unit @ unit) = (op_k @ X3 @ (i @ (asoc @ X2 @ X1 @ X0))))),
% 73.11/11.10 inference('s_sup+', [status(thm)],
% 73.11/11.10 [zip_derived_cl30887, zip_derived_cl7062])).
% 73.11/11.10 thf(zip_derived_cl38, plain, (![X0 : $i]: ((rd @ unit @ X0) = (i @ X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 73.11/11.10 thf(zip_derived_cl23, plain, (((unit) = (i @ unit))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 73.11/11.10 thf(zip_derived_cl31419, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 73.11/11.10 ((unit) = (op_k @ X3 @ (i @ (asoc @ X2 @ X1 @ X0))))),
% 73.11/11.10 inference('demod', [status(thm)],
% 73.11/11.10 [zip_derived_cl31392, zip_derived_cl38, zip_derived_cl23])).
% 73.11/11.10 thf(zip_derived_cl46531, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i]: ((unit) = (op_k @ X2 @ (op_k @ X1 @ X0)))),
% 73.11/11.10 inference('s_sup+', [status(thm)],
% 73.11/11.10 [zip_derived_cl46197, zip_derived_cl31419])).
% 73.11/11.10 thf(zip_derived_cl10, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((mult @ X1 @ X0) = (mult @ (mult @ X0 @ X1) @ (op_k @ X1 @ X0)))),
% 73.11/11.10 inference('cnf', [status(esa)], [c11])).
% 73.11/11.10 thf(zip_derived_cl10, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((mult @ X1 @ X0) = (mult @ (mult @ X0 @ X1) @ (op_k @ X1 @ X0)))),
% 73.11/11.10 inference('cnf', [status(esa)], [c11])).
% 73.11/11.10 thf(zip_derived_cl133, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((mult @ (op_k @ X1 @ X0) @ (mult @ X0 @ X1))
% 73.11/11.10 = (mult @ (mult @ X1 @ X0) @
% 73.11/11.10 (op_k @ (op_k @ X1 @ X0) @ (mult @ X0 @ X1))))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl10])).
% 73.11/11.10 thf(zip_derived_cl46752, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 73.11/11.10 ((mult @ unit @ (mult @ (op_k @ X2 @ X1) @ X0))
% 73.11/11.10 = (mult @ (mult @ X0 @ (op_k @ X2 @ X1)) @
% 73.11/11.10 (op_k @ unit @ (mult @ (op_k @ X2 @ X1) @ X0))))),
% 73.11/11.10 inference('s_sup+', [status(thm)],
% 73.11/11.10 [zip_derived_cl46531, zip_derived_cl133])).
% 73.11/11.10 thf(zip_derived_cl0, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 73.11/11.10 inference('cnf', [status(esa)], [c01])).
% 73.11/11.10 thf(zip_derived_cl1, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 73.11/11.10 inference('cnf', [status(esa)], [c02])).
% 73.11/11.10 thf(zip_derived_cl10, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((mult @ X1 @ X0) = (mult @ (mult @ X0 @ X1) @ (op_k @ X1 @ X0)))),
% 73.11/11.10 inference('cnf', [status(esa)], [c11])).
% 73.11/11.10 thf(zip_derived_cl138, plain,
% 73.11/11.10 (![X0 : $i]: ((mult @ unit @ X0) = (mult @ X0 @ (op_k @ unit @ X0)))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl10])).
% 73.11/11.10 thf(zip_derived_cl0, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 73.11/11.10 inference('cnf', [status(esa)], [c01])).
% 73.11/11.10 thf(zip_derived_cl148, plain,
% 73.11/11.10 (![X0 : $i]: ((X0) = (mult @ X0 @ (op_k @ unit @ X0)))),
% 73.11/11.10 inference('demod', [status(thm)], [zip_derived_cl138, zip_derived_cl0])).
% 73.11/11.10 thf(zip_derived_cl5, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]: ((mult @ (i @ X1) @ (mult @ X1 @ X0)) = (X0))),
% 73.11/11.10 inference('cnf', [status(esa)], [c06])).
% 73.11/11.10 thf(zip_derived_cl448, plain,
% 73.11/11.10 (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (op_k @ unit @ X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl5])).
% 73.11/11.10 thf(zip_derived_cl3, plain, (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 73.11/11.10 inference('cnf', [status(esa)], [c04])).
% 73.11/11.10 thf(zip_derived_cl460, plain, (![X0 : $i]: ((unit) = (op_k @ unit @ X0))),
% 73.11/11.10 inference('demod', [status(thm)], [zip_derived_cl448, zip_derived_cl3])).
% 73.11/11.10 thf(zip_derived_cl1, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 73.11/11.10 inference('cnf', [status(esa)], [c02])).
% 73.11/11.10 thf(zip_derived_cl46795, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 73.11/11.10 ((mult @ (op_k @ X2 @ X1) @ X0) = (mult @ X0 @ (op_k @ X2 @ X1)))),
% 73.11/11.10 inference('demod', [status(thm)],
% 73.11/11.10 [zip_derived_cl46752, zip_derived_cl0, zip_derived_cl460,
% 73.11/11.10 zip_derived_cl1])).
% 73.11/11.10 thf(zip_derived_cl134, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i]:
% 73.11/11.10 ((mult @ (i @ (mult @ X0 @ X1)) @ (mult @ X1 @ X0)) = (op_k @ X1 @ X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl5])).
% 73.11/11.10 thf(zip_derived_cl52497, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 73.11/11.10 ((mult @ (i @ (mult @ (op_k @ X2 @ X1) @ X0)) @
% 73.11/11.10 (mult @ (op_k @ X2 @ X1) @ X0)) = (op_k @ (op_k @ X2 @ X1) @ X0))),
% 73.11/11.10 inference('s_sup+', [status(thm)],
% 73.11/11.10 [zip_derived_cl46795, zip_derived_cl134])).
% 73.11/11.10 thf(zip_derived_cl3, plain, (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 73.11/11.10 inference('cnf', [status(esa)], [c04])).
% 73.11/11.10 thf(zip_derived_cl53130, plain,
% 73.11/11.10 (![X0 : $i, X1 : $i, X2 : $i]: ((unit) = (op_k @ (op_k @ X2 @ X1) @ X0))),
% 73.11/11.10 inference('demod', [status(thm)], [zip_derived_cl52497, zip_derived_cl3])).
% 73.11/11.10 thf(zip_derived_cl53214, plain, (((unit) != (unit))),
% 73.11/11.10 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl53130])).
% 73.11/11.10 thf(zip_derived_cl53215, plain, ($false),
% 73.11/11.10 inference('simplify', [status(thm)], [zip_derived_cl53214])).
% 73.11/11.10
% 73.11/11.10 % SZS output end Refutation
% 73.11/11.10
% 73.11/11.10
% 73.11/11.10 % Terminating...
% 73.73/11.18 % Runner terminated.
% 73.73/11.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------