%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP755-1 : 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.BsNsCIzMV3 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 04:37:12 PM UTC 2025
% Result : Unsatisfiable 23.70s 4.04s
% Output : Refutation 23.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP755-1 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BsNsCIzMV3 true
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 14:15:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.56/0.67 % Total configuration time : 435
% 0.56/0.67 % Estimated wc time : 1092
% 0.56/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 23.70/4.04 % Solved by fo/fo1_av.sh.
% 23.70/4.04 % done 653 iterations in 3.281s
% 23.70/4.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 23.70/4.04 % SZS output start Refutation
% 23.70/4.04 thf(b_type, type, b: $i).
% 23.70/4.04 thf(i_type, type, i: $i > $i).
% 23.70/4.04 thf(ld_type, type, ld: $i > $i > $i).
% 23.70/4.04 thf(rd_type, type, rd: $i > $i > $i).
% 23.70/4.04 thf(mult_type, type, mult: $i > $i > $i).
% 23.70/4.04 thf(a_type, type, a: $i).
% 23.70/4.04 thf(unit_type, type, unit: $i).
% 23.70/4.04 thf(goals, conjecture,
% 23.70/4.04 (( i @ ( mult @ a @ b ) ) = ( mult @ ( i @ b ) @ ( i @ a ) ))).
% 23.70/4.04 thf(zf_stmt_0, negated_conjecture,
% 23.70/4.04 (( i @ ( mult @ a @ b ) ) != ( mult @ ( i @ b ) @ ( i @ a ) )),
% 23.70/4.04 inference('cnf.neg', [status(esa)], [goals])).
% 23.70/4.04 thf(zip_derived_cl9, plain,
% 23.70/4.04 (((i @ (mult @ a @ b)) != (mult @ (i @ b) @ (i @ a)))),
% 23.70/4.04 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.70/4.04 thf(f09, axiom, (( i @ A ) = ( ld @ A @ unit ))).
% 23.70/4.04 thf(zip_derived_cl8, plain, (![X0 : $i]: ((i @ X0) = (ld @ X0 @ unit))),
% 23.70/4.04 inference('cnf', [status(esa)], [f09])).
% 23.70/4.04 thf(f01, axiom, (( mult @ A @ ( ld @ A @ B ) ) = ( B ))).
% 23.70/4.04 thf(zip_derived_cl0, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f01])).
% 23.70/4.04 thf(zip_derived_cl11, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 23.70/4.04 thf(f07, axiom,
% 23.70/4.04 (( ( mult @ A @ ( mult @ B @ C ) ) = ( mult @ ( mult @ A @ B ) @ C ) ) |
% 23.70/4.04 ( ( mult @ A @ ( mult @ B @ C ) ) = ( mult @ ( mult @ A @ C ) @ B ) ))).
% 23.70/4.04 thf(zip_derived_cl6, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.70/4.04 (((mult @ X0 @ (mult @ X1 @ X2)) = (mult @ (mult @ X0 @ X1) @ X2))
% 23.70/4.04 | ((mult @ X0 @ (mult @ X1 @ X2)) = (mult @ (mult @ X0 @ X2) @ X1)))),
% 23.70/4.04 inference('cnf', [status(esa)], [f07])).
% 23.70/4.04 thf(f04, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 23.70/4.04 thf(zip_derived_cl3, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f04])).
% 23.70/4.04 thf(zip_derived_cl42, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.70/4.04 (((mult @ X2 @ (mult @ X1 @ X0)) = (mult @ (mult @ X2 @ X1) @ X0))
% 23.70/4.04 | ((rd @ (mult @ X2 @ (mult @ X1 @ X0)) @ X1) = (mult @ X2 @ X0)))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 23.70/4.04 thf(zip_derived_cl964, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((mult @ X1 @ unit) = (mult @ (mult @ X1 @ X0) @ (i @ X0)))
% 23.70/4.04 | ((rd @ (mult @ X1 @ unit) @ X0) = (mult @ X1 @ (i @ X0))))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl42])).
% 23.70/4.04 thf(f05, axiom, (( mult @ A @ unit ) = ( A ))).
% 23.70/4.04 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f05])).
% 23.70/4.04 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f05])).
% 23.70/4.04 thf(zip_derived_cl986, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((X1) = (mult @ (mult @ X1 @ X0) @ (i @ X0)))
% 23.70/4.04 | ((rd @ X1 @ X0) = (mult @ X1 @ (i @ X0))))),
% 23.70/4.04 inference('demod', [status(thm)],
% 23.70/4.04 [zip_derived_cl964, zip_derived_cl4, zip_derived_cl4])).
% 23.70/4.04 thf(zip_derived_cl3, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f04])).
% 23.70/4.04 thf(zip_derived_cl1057, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((rd @ X0 @ X1) = (mult @ X0 @ (i @ X1)))
% 23.70/4.04 | ((rd @ X0 @ (i @ X1)) = (mult @ X0 @ X1)))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl986, zip_derived_cl3])).
% 23.70/4.04 thf(f06, axiom, (( mult @ unit @ A ) = ( A ))).
% 23.70/4.04 thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f06])).
% 23.70/4.04 thf(zip_derived_cl3, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f04])).
% 23.70/4.04 thf(zip_derived_cl31, plain, (![X0 : $i]: ((rd @ X0 @ X0) = (unit))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 23.70/4.04 thf(zip_derived_cl1317, plain,
% 23.70/4.04 (![X0 : $i]:
% 23.70/4.04 (((rd @ (i @ X0) @ X0) = (mult @ (i @ X0) @ (i @ X0)))
% 23.70/4.04 | ((mult @ (i @ X0) @ X0) = (unit)))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl1057, zip_derived_cl31])).
% 23.70/4.04 thf(f03, axiom, (( mult @ ( rd @ A @ B ) @ B ) = ( A ))).
% 23.70/4.04 thf(zip_derived_cl2, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f03])).
% 23.70/4.04 thf(zip_derived_cl1739, plain,
% 23.70/4.04 (![X0 : $i]:
% 23.70/4.04 (((mult @ (i @ X0) @ X0) = (unit))
% 23.70/4.04 | ((mult @ (mult @ (i @ X0) @ (i @ X0)) @ X0) = (i @ X0)))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl1317, zip_derived_cl2])).
% 23.70/4.04 thf(zip_derived_cl11, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 23.70/4.04 thf(f08, axiom,
% 23.70/4.04 (( ( mult @ A @ ( mult @ B @ C ) ) = ( mult @ ( mult @ A @ B ) @ C ) ) |
% 23.70/4.04 ( ( mult @ A @ ( mult @ C @ B ) ) = ( mult @ ( mult @ A @ B ) @ C ) ))).
% 23.70/4.04 thf(zip_derived_cl7, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.70/4.04 (((mult @ X0 @ (mult @ X1 @ X2)) = (mult @ (mult @ X0 @ X1) @ X2))
% 23.70/4.04 | ((mult @ X0 @ (mult @ X2 @ X1)) = (mult @ (mult @ X0 @ X1) @ X2)))),
% 23.70/4.04 inference('cnf', [status(esa)], [f08])).
% 23.70/4.04 thf(zip_derived_cl119, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.70/4.04 (((mult @ X2 @ (mult @ X1 @ X0)) != (mult @ X2 @ (mult @ X0 @ X1)))
% 23.70/4.04 | ((mult @ X2 @ (mult @ X0 @ X1)) = (mult @ (mult @ X2 @ X1) @ X0)))),
% 23.70/4.04 inference('eq_fact', [status(thm)], [zip_derived_cl7])).
% 23.70/4.04 thf(zip_derived_cl2886, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((mult @ X1 @ (mult @ (i @ X1) @ X0))
% 23.70/4.04 != (mult @ X1 @ (mult @ X0 @ (i @ X1))))
% 23.70/4.04 | ((mult @ X1 @ (mult @ X0 @ (i @ X1))) = (mult @ unit @ X0)))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl119])).
% 23.70/4.04 thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f06])).
% 23.70/4.04 thf(zip_derived_cl2922, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((mult @ X1 @ (mult @ (i @ X1) @ X0))
% 23.70/4.04 != (mult @ X1 @ (mult @ X0 @ (i @ X1))))
% 23.70/4.04 | ((mult @ X1 @ (mult @ X0 @ (i @ X1))) = (X0)))),
% 23.70/4.04 inference('demod', [status(thm)], [zip_derived_cl2886, zip_derived_cl5])).
% 23.70/4.04 thf(zip_derived_cl2971, plain,
% 23.70/4.04 (![X0 : $i]:
% 23.70/4.04 (((mult @ (i @ (i @ X0)) @ (i @ X0)) = (unit))
% 23.70/4.04 | ((mult @ X0 @
% 23.70/4.04 (mult @ (i @ X0) @ (mult @ (i @ (i @ X0)) @ (i @ (i @ X0)))))
% 23.70/4.04 != (mult @ X0 @ (i @ (i @ X0))))
% 23.70/4.04 | ((mult @ X0 @ (i @ (i @ X0)))
% 23.70/4.04 = (mult @ (i @ (i @ X0)) @ (i @ (i @ X0)))))),
% 23.70/4.04 inference('s_sup-', [status(thm)],
% 23.70/4.04 [zip_derived_cl1739, zip_derived_cl2922])).
% 23.70/4.04 thf(zip_derived_cl11, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 23.70/4.04 thf(zip_derived_cl6, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.70/4.04 (((mult @ X0 @ (mult @ X1 @ X2)) = (mult @ (mult @ X0 @ X1) @ X2))
% 23.70/4.04 | ((mult @ X0 @ (mult @ X1 @ X2)) = (mult @ (mult @ X0 @ X2) @ X1)))),
% 23.70/4.04 inference('cnf', [status(esa)], [f07])).
% 23.70/4.04 thf(zip_derived_cl63, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((mult @ X1 @ (mult @ X0 @ X0)) != (mult @ X1 @ (mult @ X0 @ X0)))
% 23.70/4.04 | ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0)))),
% 23.70/4.04 inference('eq_fact', [status(thm)], [zip_derived_cl6])).
% 23.70/4.04 thf(zip_derived_cl65, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 ((mult @ X1 @ (mult @ X0 @ X0)) = (mult @ (mult @ X1 @ X0) @ X0))),
% 23.70/4.04 inference('simplify', [status(thm)], [zip_derived_cl63])).
% 23.70/4.04 thf(zip_derived_cl163, plain,
% 23.70/4.04 (![X0 : $i]:
% 23.70/4.04 ((mult @ X0 @ (mult @ (i @ X0) @ (i @ X0))) = (mult @ unit @ (i @ X0)))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl65])).
% 23.70/4.04 thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f06])).
% 23.70/4.04 thf(zip_derived_cl172, plain,
% 23.70/4.04 (![X0 : $i]: ((mult @ X0 @ (mult @ (i @ X0) @ (i @ X0))) = (i @ X0))),
% 23.70/4.04 inference('demod', [status(thm)], [zip_derived_cl163, zip_derived_cl5])).
% 23.70/4.04 thf(zip_derived_cl2991, plain,
% 23.70/4.04 (![X0 : $i]:
% 23.70/4.04 (((mult @ (i @ (i @ X0)) @ (i @ X0)) = (unit))
% 23.70/4.04 | ((mult @ X0 @ (i @ (i @ X0))) != (mult @ X0 @ (i @ (i @ X0))))
% 23.70/4.04 | ((mult @ X0 @ (i @ (i @ X0)))
% 23.70/4.04 = (mult @ (i @ (i @ X0)) @ (i @ (i @ X0)))))),
% 23.70/4.04 inference('demod', [status(thm)], [zip_derived_cl2971, zip_derived_cl172])).
% 23.70/4.04 thf(zip_derived_cl2992, plain,
% 23.70/4.04 (![X0 : $i]:
% 23.70/4.04 (((mult @ X0 @ (i @ (i @ X0)))
% 23.70/4.04 = (mult @ (i @ (i @ X0)) @ (i @ (i @ X0))))
% 23.70/4.04 | ((mult @ (i @ (i @ X0)) @ (i @ X0)) = (unit)))),
% 23.70/4.04 inference('simplify', [status(thm)], [zip_derived_cl2991])).
% 23.70/4.04 thf(zip_derived_cl3, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f04])).
% 23.70/4.04 thf(zip_derived_cl3010, plain,
% 23.70/4.04 (![X0 : $i]:
% 23.70/4.04 (((mult @ (i @ (i @ X0)) @ (i @ X0)) = (unit))
% 23.70/4.04 | ((rd @ (mult @ X0 @ (i @ (i @ X0))) @ (i @ (i @ X0)))
% 23.70/4.04 = (i @ (i @ X0))))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl2992, zip_derived_cl3])).
% 23.70/4.04 thf(zip_derived_cl3, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f04])).
% 23.70/4.04 thf(zip_derived_cl3074, plain,
% 23.70/4.04 (![X0 : $i]:
% 23.70/4.04 (((mult @ (i @ (i @ X0)) @ (i @ X0)) = (unit))
% 23.70/4.04 | ((X0) = (i @ (i @ X0))))),
% 23.70/4.04 inference('demod', [status(thm)], [zip_derived_cl3010, zip_derived_cl3])).
% 23.70/4.04 thf(zip_derived_cl3, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f04])).
% 23.70/4.04 thf(zip_derived_cl3100, plain,
% 23.70/4.04 (![X0 : $i]:
% 23.70/4.04 (((X0) = (i @ (i @ X0))) | ((rd @ unit @ (i @ X0)) = (i @ (i @ X0))))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl3074, zip_derived_cl3])).
% 23.70/4.04 thf(zip_derived_cl11, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 23.70/4.04 thf(zip_derived_cl3, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f04])).
% 23.70/4.04 thf(zip_derived_cl29, plain, (![X0 : $i]: ((rd @ unit @ (i @ X0)) = (X0))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 23.70/4.04 thf(zip_derived_cl3140, plain,
% 23.70/4.04 (![X0 : $i]: (((X0) = (i @ (i @ X0))) | ((X0) = (i @ (i @ X0))))),
% 23.70/4.04 inference('demod', [status(thm)], [zip_derived_cl3100, zip_derived_cl29])).
% 23.70/4.04 thf(zip_derived_cl3141, plain, (![X0 : $i]: ((X0) = (i @ (i @ X0)))),
% 23.70/4.04 inference('simplify', [status(thm)], [zip_derived_cl3140])).
% 23.70/4.04 thf(zip_derived_cl0, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f01])).
% 23.70/4.04 thf(zip_derived_cl3141, plain, (![X0 : $i]: ((X0) = (i @ (i @ X0)))),
% 23.70/4.04 inference('simplify', [status(thm)], [zip_derived_cl3140])).
% 23.70/4.04 thf(zip_derived_cl11, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 23.70/4.04 thf(zip_derived_cl3157, plain,
% 23.70/4.04 (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl3141, zip_derived_cl11])).
% 23.70/4.04 thf(zip_derived_cl7, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.70/4.04 (((mult @ X0 @ (mult @ X1 @ X2)) = (mult @ (mult @ X0 @ X1) @ X2))
% 23.70/4.04 | ((mult @ X0 @ (mult @ X2 @ X1)) = (mult @ (mult @ X0 @ X1) @ X2)))),
% 23.70/4.04 inference('cnf', [status(esa)], [f08])).
% 23.70/4.04 thf(zip_derived_cl3, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f04])).
% 23.70/4.04 thf(zip_derived_cl80, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.70/4.04 (((mult @ X2 @ (mult @ X0 @ X1)) = (mult @ (mult @ X2 @ X1) @ X0))
% 23.70/4.04 | ((rd @ (mult @ X2 @ (mult @ X1 @ X0)) @ X0) = (mult @ X2 @ X1)))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 23.70/4.04 thf(zip_derived_cl4433, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((mult @ X1 @ (mult @ X0 @ (i @ X0)))
% 23.70/4.04 = (mult @ (mult @ X1 @ (i @ X0)) @ X0))
% 23.70/4.04 | ((rd @ (mult @ X1 @ unit) @ X0) = (mult @ X1 @ (i @ X0))))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl3157, zip_derived_cl80])).
% 23.70/4.04 thf(zip_derived_cl11, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 23.70/4.04 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f05])).
% 23.70/4.04 thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f05])).
% 23.70/4.04 thf(zip_derived_cl4450, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((X1) = (mult @ (mult @ X1 @ (i @ X0)) @ X0))
% 23.70/4.04 | ((rd @ X1 @ X0) = (mult @ X1 @ (i @ X0))))),
% 23.70/4.04 inference('demod', [status(thm)],
% 23.70/4.04 [zip_derived_cl4433, zip_derived_cl11, zip_derived_cl4,
% 23.70/4.04 zip_derived_cl4])).
% 23.70/4.04 thf(zip_derived_cl3, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f04])).
% 23.70/4.04 thf(zip_derived_cl6212, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((rd @ X0 @ X1) = (mult @ X0 @ (i @ X1)))
% 23.70/4.04 | ((rd @ X0 @ X1) = (mult @ X0 @ (i @ X1))))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl4450, zip_derived_cl3])).
% 23.70/4.04 thf(zip_derived_cl6319, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((rd @ X0 @ X1) = (mult @ X0 @ (i @ X1)))),
% 23.70/4.04 inference('simplify', [status(thm)], [zip_derived_cl6212])).
% 23.70/4.04 thf(zip_derived_cl3, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f04])).
% 23.70/4.04 thf(zip_derived_cl6373, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((mult @ (mult @ X1 @ X0) @ (i @ X0)) = (X1))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl6319, zip_derived_cl3])).
% 23.70/4.04 thf(f02, axiom, (( ld @ A @ ( mult @ A @ B ) ) = ( B ))).
% 23.70/4.04 thf(zip_derived_cl1, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f02])).
% 23.70/4.04 thf(zip_derived_cl6766, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((ld @ (mult @ X0 @ X1) @ X0) = (i @ X1))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl6373, zip_derived_cl1])).
% 23.70/4.04 thf(zip_derived_cl7703, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((ld @ X0 @ X1) = (i @ (ld @ X1 @ X0)))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl6766])).
% 23.70/4.04 thf(zip_derived_cl0, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f01])).
% 23.70/4.04 thf(zip_derived_cl7, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.70/4.04 (((mult @ X0 @ (mult @ X1 @ X2)) = (mult @ (mult @ X0 @ X1) @ X2))
% 23.70/4.04 | ((mult @ X0 @ (mult @ X2 @ X1)) = (mult @ (mult @ X0 @ X1) @ X2)))),
% 23.70/4.04 inference('cnf', [status(esa)], [f08])).
% 23.70/4.04 thf(zip_derived_cl0, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f01])).
% 23.70/4.04 thf(zip_derived_cl94, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.70/4.04 (((mult @ X2 @ (mult @ X0 @ (ld @ (mult @ X2 @ X0) @ X1)))
% 23.70/4.04 = (mult @ (mult @ X2 @ X0) @ (ld @ (mult @ X2 @ X0) @ X1)))
% 23.70/4.04 | ((mult @ X2 @ (mult @ (ld @ (mult @ X2 @ X0) @ X1) @ X0)) = (X1)))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 23.70/4.04 thf(zip_derived_cl0, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f01])).
% 23.70/4.04 thf(zip_derived_cl129, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.70/4.04 (((mult @ X2 @ (mult @ X0 @ (ld @ (mult @ X2 @ X0) @ X1))) = (X1))
% 23.70/4.04 | ((mult @ X2 @ (mult @ (ld @ (mult @ X2 @ X0) @ X1) @ X0)) = (X1)))),
% 23.70/4.04 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl0])).
% 23.70/4.04 thf(zip_derived_cl2, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((mult @ (rd @ X0 @ X1) @ X1) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f03])).
% 23.70/4.04 thf(zip_derived_cl2922, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((mult @ X1 @ (mult @ (i @ X1) @ X0))
% 23.70/4.04 != (mult @ X1 @ (mult @ X0 @ (i @ X1))))
% 23.70/4.04 | ((mult @ X1 @ (mult @ X0 @ (i @ X1))) = (X0)))),
% 23.70/4.04 inference('demod', [status(thm)], [zip_derived_cl2886, zip_derived_cl5])).
% 23.70/4.04 thf(zip_derived_cl2974, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((mult @ X1 @ (mult @ (i @ X1) @ (rd @ X0 @ (i @ X1))))
% 23.70/4.04 != (mult @ X1 @ X0))
% 23.70/4.04 | ((mult @ X1 @ X0) = (rd @ X0 @ (i @ X1))))),
% 23.70/4.04 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl2922])).
% 23.70/4.04 thf(zip_derived_cl6319, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((rd @ X0 @ X1) = (mult @ X0 @ (i @ X1)))),
% 23.70/4.04 inference('simplify', [status(thm)], [zip_derived_cl6212])).
% 23.70/4.04 thf(zip_derived_cl3141, plain, (![X0 : $i]: ((X0) = (i @ (i @ X0)))),
% 23.70/4.04 inference('simplify', [status(thm)], [zip_derived_cl3140])).
% 23.70/4.04 thf(zip_derived_cl6319, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((rd @ X0 @ X1) = (mult @ X0 @ (i @ X1)))),
% 23.70/4.04 inference('simplify', [status(thm)], [zip_derived_cl6212])).
% 23.70/4.04 thf(zip_derived_cl3141, plain, (![X0 : $i]: ((X0) = (i @ (i @ X0)))),
% 23.70/4.04 inference('simplify', [status(thm)], [zip_derived_cl3140])).
% 23.70/4.04 thf(zip_derived_cl6361, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((mult @ X1 @ (mult @ (i @ X1) @ (mult @ X0 @ X1)))
% 23.70/4.04 != (mult @ X1 @ X0))
% 23.70/4.04 | ((mult @ X1 @ X0) = (mult @ X0 @ X1)))),
% 23.70/4.04 inference('demod', [status(thm)],
% 23.70/4.04 [zip_derived_cl2974, zip_derived_cl6319, zip_derived_cl3141,
% 23.70/4.04 zip_derived_cl6319, zip_derived_cl3141])).
% 23.70/4.04 thf(zip_derived_cl14474, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((mult @ (i @ X1) @ (mult @ X1 @ (ld @ (mult @ (i @ X1) @ X1) @ X0)))
% 23.70/4.04 = (X0))
% 23.70/4.04 | ((mult @ X1 @ X0)
% 23.70/4.04 != (mult @ X1 @ (ld @ (mult @ (i @ X1) @ X1) @ X0)))
% 23.70/4.04 | ((mult @ X1 @ (ld @ (mult @ (i @ X1) @ X1) @ X0))
% 23.70/4.04 = (mult @ (ld @ (mult @ (i @ X1) @ X1) @ X0) @ X1)))),
% 23.70/4.04 inference('s_sup-', [status(thm)],
% 23.70/4.04 [zip_derived_cl129, zip_derived_cl6361])).
% 23.70/4.04 thf(zip_derived_cl3157, plain,
% 23.70/4.04 (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl3141, zip_derived_cl11])).
% 23.70/4.04 thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f06])).
% 23.70/4.04 thf(zip_derived_cl0, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f01])).
% 23.70/4.04 thf(zip_derived_cl10, plain, (![X0 : $i]: ((ld @ unit @ X0) = (X0))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 23.70/4.04 thf(zip_derived_cl3157, plain,
% 23.70/4.04 (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl3141, zip_derived_cl11])).
% 23.70/4.04 thf(zip_derived_cl10, plain, (![X0 : $i]: ((ld @ unit @ X0) = (X0))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 23.70/4.04 thf(zip_derived_cl3157, plain,
% 23.70/4.04 (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl3141, zip_derived_cl11])).
% 23.70/4.04 thf(zip_derived_cl10, plain, (![X0 : $i]: ((ld @ unit @ X0) = (X0))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 23.70/4.04 thf(zip_derived_cl3157, plain,
% 23.70/4.04 (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl3141, zip_derived_cl11])).
% 23.70/4.04 thf(zip_derived_cl10, plain, (![X0 : $i]: ((ld @ unit @ X0) = (X0))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 23.70/4.04 thf(zip_derived_cl14614, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((mult @ (i @ X1) @ (mult @ X1 @ X0)) = (X0))
% 23.70/4.04 | ((mult @ X1 @ X0) != (mult @ X1 @ X0))
% 23.70/4.04 | ((mult @ X1 @ X0) = (mult @ X0 @ X1)))),
% 23.70/4.04 inference('demod', [status(thm)],
% 23.70/4.04 [zip_derived_cl14474, zip_derived_cl3157, zip_derived_cl10,
% 23.70/4.04 zip_derived_cl3157, zip_derived_cl10, zip_derived_cl3157,
% 23.70/4.04 zip_derived_cl10, zip_derived_cl3157, zip_derived_cl10])).
% 23.70/4.04 thf(zip_derived_cl14615, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((mult @ X1 @ X0) = (mult @ X0 @ X1))
% 23.70/4.04 | ((mult @ (i @ X1) @ (mult @ X1 @ X0)) = (X0)))),
% 23.70/4.04 inference('simplify', [status(thm)], [zip_derived_cl14614])).
% 23.70/4.04 thf(zip_derived_cl14728, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((X0) = (mult @ (ld @ X1 @ X0) @ X1))
% 23.70/4.04 | ((mult @ (i @ X1) @ X0) = (ld @ X1 @ X0)))),
% 23.70/4.04 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl14615])).
% 23.70/4.04 thf(zip_derived_cl3141, plain, (![X0 : $i]: ((X0) = (i @ (i @ X0)))),
% 23.70/4.04 inference('simplify', [status(thm)], [zip_derived_cl3140])).
% 23.70/4.04 thf(zip_derived_cl2922, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((mult @ X1 @ (mult @ (i @ X1) @ X0))
% 23.70/4.04 != (mult @ X1 @ (mult @ X0 @ (i @ X1))))
% 23.70/4.04 | ((mult @ X1 @ (mult @ X0 @ (i @ X1))) = (X0)))),
% 23.70/4.04 inference('demod', [status(thm)], [zip_derived_cl2886, zip_derived_cl5])).
% 23.70/4.04 thf(zip_derived_cl3186, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((mult @ (i @ X0) @ (mult @ X0 @ X1))
% 23.70/4.04 != (mult @ (i @ X0) @ (mult @ X1 @ X0)))
% 23.70/4.04 | ((mult @ (i @ X0) @ (mult @ X1 @ X0)) = (X1)))),
% 23.70/4.04 inference('s_sup-', [status(thm)],
% 23.70/4.04 [zip_derived_cl3141, zip_derived_cl2922])).
% 23.70/4.04 thf(zip_derived_cl14878, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((mult @ (i @ X1) @ X0) = (ld @ X1 @ X0))
% 23.70/4.04 | ((mult @ (i @ X1) @ (mult @ X1 @ (ld @ X1 @ X0)))
% 23.70/4.04 != (mult @ (i @ X1) @ X0))
% 23.70/4.04 | ((mult @ (i @ X1) @ X0) = (ld @ X1 @ X0)))),
% 23.70/4.04 inference('s_sup-', [status(thm)],
% 23.70/4.04 [zip_derived_cl14728, zip_derived_cl3186])).
% 23.70/4.04 thf(zip_derived_cl0, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 23.70/4.04 inference('cnf', [status(esa)], [f01])).
% 23.70/4.04 thf(zip_derived_cl15011, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 (((mult @ (i @ X1) @ X0) = (ld @ X1 @ X0))
% 23.70/4.04 | ((mult @ (i @ X1) @ X0) != (mult @ (i @ X1) @ X0))
% 23.70/4.04 | ((mult @ (i @ X1) @ X0) = (ld @ X1 @ X0)))),
% 23.70/4.04 inference('demod', [status(thm)], [zip_derived_cl14878, zip_derived_cl0])).
% 23.70/4.04 thf(zip_derived_cl15012, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((mult @ (i @ X1) @ X0) = (ld @ X1 @ X0))),
% 23.70/4.04 inference('simplify', [status(thm)], [zip_derived_cl15011])).
% 23.70/4.04 thf(zip_derived_cl15012, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]: ((mult @ (i @ X1) @ X0) = (ld @ X1 @ X0))),
% 23.70/4.04 inference('simplify', [status(thm)], [zip_derived_cl15011])).
% 23.70/4.04 thf(zip_derived_cl15059, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 ((mult @ (i @ X0) @ X1) = (i @ (mult @ (i @ X1) @ X0)))),
% 23.70/4.04 inference('demod', [status(thm)],
% 23.70/4.04 [zip_derived_cl7703, zip_derived_cl15012, zip_derived_cl15012])).
% 23.70/4.04 thf(zip_derived_cl15179, plain,
% 23.70/4.04 (![X0 : $i, X1 : $i]:
% 23.70/4.04 ((mult @ (i @ X1) @ (i @ X0)) = (i @ (mult @ X0 @ X1)))),
% 23.70/4.04 inference('s_sup+', [status(thm)],
% 23.70/4.04 [zip_derived_cl3141, zip_derived_cl15059])).
% 23.70/4.04 thf(zip_derived_cl16736, plain,
% 23.70/4.04 (((i @ (mult @ a @ b)) != (i @ (mult @ a @ b)))),
% 23.70/4.04 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl15179])).
% 23.70/4.04 thf(zip_derived_cl16737, plain, ($false),
% 23.70/4.04 inference('simplify', [status(thm)], [zip_derived_cl16736])).
% 23.70/4.04
% 23.70/4.04 % SZS output end Refutation
% 23.70/4.04
% 23.70/4.04
% 23.70/4.04 % Terminating...
% 24.15/4.07 % Runner terminated.
% 24.15/4.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------