TSTP Solution File: GRP767-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP767-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.grQhV0Kenn 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 Aug 31 01:53:14 EDT 2023
% Result : Unsatisfiable 86.81s 13.09s
% Output : Refutation 86.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP767-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.grQhV0Kenn true
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 22:50:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 86.81/13.09 % Solved by fo/fo4.sh.
% 86.81/13.09 % done 4421 iterations in 12.290s
% 86.81/13.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 86.81/13.09 % SZS output start Refutation
% 86.81/13.09 thf(i_type, type, i: $i > $i).
% 86.81/13.09 thf(x1_type, type, x1: $i).
% 86.81/13.09 thf(difference_type, type, difference: $i > $i > $i).
% 86.81/13.09 thf(one_type, type, one: $i).
% 86.81/13.09 thf(eta_type, type, eta: $i > $i).
% 86.81/13.09 thf(j_type, type, j: $i > $i).
% 86.81/13.09 thf(l_type, type, l: $i > $i > $i > $i).
% 86.81/13.09 thf(product_type, type, product: $i > $i > $i).
% 86.81/13.09 thf(x0_type, type, x0: $i).
% 86.81/13.09 thf(quotient_type, type, quotient: $i > $i > $i).
% 86.81/13.09 thf(goals, conjecture,
% 86.81/13.09 (( product @ ( j @ ( j @ x0 ) ) @ ( j @ ( product @ x1 @ x0 ) ) ) =
% 86.81/13.09 ( j @ x1 ))).
% 86.81/13.09 thf(zf_stmt_0, negated_conjecture,
% 86.81/13.09 (( product @ ( j @ ( j @ x0 ) ) @ ( j @ ( product @ x1 @ x0 ) ) ) !=
% 86.81/13.09 ( j @ x1 )),
% 86.81/13.09 inference('cnf.neg', [status(esa)], [goals])).
% 86.81/13.09 thf(zip_derived_cl20, plain,
% 86.81/13.09 (((product @ (j @ (j @ x0)) @ (j @ (product @ x1 @ x0))) != (j @ x1))),
% 86.81/13.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 86.81/13.09 thf(sos10, axiom, (( j @ A ) = ( quotient @ one @ A ))).
% 86.81/13.09 thf(zip_derived_cl9, plain, (![X0 : $i]: ((j @ X0) = (quotient @ one @ X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos10])).
% 86.81/13.09 thf(sos06, axiom, (( product @ ( quotient @ A @ B ) @ B ) = ( A ))).
% 86.81/13.09 thf(zip_derived_cl5, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]: ((product @ (quotient @ X0 @ X1) @ X1) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos06])).
% 86.81/13.09 thf(zip_derived_cl48, plain,
% 86.81/13.09 (![X0 : $i]: ((product @ (j @ X0) @ X0) = (one))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 86.81/13.09 thf(sos04, axiom, (( difference @ A @ ( product @ A @ B ) ) = ( B ))).
% 86.81/13.09 thf(zip_derived_cl3, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]: ((difference @ X1 @ (product @ X1 @ X0)) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos04])).
% 86.81/13.09 thf(zip_derived_cl154, plain,
% 86.81/13.09 (![X0 : $i]: ((difference @ (j @ X0) @ one) = (X0))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl3])).
% 86.81/13.09 thf(sos09, axiom, (( i @ A ) = ( difference @ A @ one ))).
% 86.81/13.09 thf(zip_derived_cl8, plain,
% 86.81/13.09 (![X0 : $i]: ((i @ X0) = (difference @ X0 @ one))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos09])).
% 86.81/13.09 thf(zip_derived_cl169, plain, (![X0 : $i]: ((i @ (j @ X0)) = (X0))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl8])).
% 86.81/13.09 thf(zip_derived_cl48, plain,
% 86.81/13.09 (![X0 : $i]: ((product @ (j @ X0) @ X0) = (one))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 86.81/13.09 thf(sos07, axiom,
% 86.81/13.09 (( difference @ A @ ( product @ ( product @ A @ B ) @ C ) ) =
% 86.81/13.09 ( quotient @ ( product @ B @ ( product @ C @ A ) ) @ A ))).
% 86.81/13.09 thf(zip_derived_cl6, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 86.81/13.09 ((difference @ X2 @ (product @ (product @ X2 @ X0) @ X1))
% 86.81/13.09 = (quotient @ (product @ X0 @ (product @ X1 @ X2)) @ X2))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos07])).
% 86.81/13.09 thf(sos03, axiom, (( product @ A @ ( difference @ A @ B ) ) = ( B ))).
% 86.81/13.09 thf(zip_derived_cl2, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]: ((product @ X1 @ (difference @ X1 @ X0)) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos03])).
% 86.81/13.09 thf(zip_derived_cl129, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 86.81/13.09 ((product @ X0 @
% 86.81/13.09 (quotient @ (product @ X2 @ (product @ X1 @ X0)) @ X0))
% 86.81/13.09 = (product @ (product @ X0 @ X2) @ X1))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 86.81/13.09 thf(zip_derived_cl13100, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((product @ X1 @ (quotient @ one @ X1))
% 86.81/13.09 = (product @ (product @ X1 @ (j @ (product @ X0 @ X1))) @ X0))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl129])).
% 86.81/13.09 thf(zip_derived_cl9, plain, (![X0 : $i]: ((j @ X0) = (quotient @ one @ X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos10])).
% 86.81/13.09 thf(sos11, axiom,
% 86.81/13.09 (( product @ ( i @ A ) @ A ) = ( product @ A @ ( j @ A ) ))).
% 86.81/13.09 thf(zip_derived_cl10, plain,
% 86.81/13.09 (![X0 : $i]: ((product @ (i @ X0) @ X0) = (product @ X0 @ (j @ X0)))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos11])).
% 86.81/13.09 thf(sos12, axiom, (( eta @ A ) = ( product @ ( i @ A ) @ A ))).
% 86.81/13.09 thf(zip_derived_cl11, plain,
% 86.81/13.09 (![X0 : $i]: ((eta @ X0) = (product @ (i @ X0) @ X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos12])).
% 86.81/13.09 thf(zip_derived_cl55, plain,
% 86.81/13.09 (![X0 : $i]: ((eta @ X0) = (product @ X0 @ (j @ X0)))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl11])).
% 86.81/13.09 thf(zip_derived_cl13192, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((eta @ X1)
% 86.81/13.09 = (product @ (product @ X1 @ (j @ (product @ X0 @ X1))) @ X0))),
% 86.81/13.09 inference('demod', [status(thm)],
% 86.81/13.09 [zip_derived_cl13100, zip_derived_cl9, zip_derived_cl55])).
% 86.81/13.09 thf(sos05, axiom, (( quotient @ ( product @ A @ B ) @ B ) = ( A ))).
% 86.81/13.09 thf(zip_derived_cl4, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]: ((quotient @ (product @ X0 @ X1) @ X1) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos05])).
% 86.81/13.09 thf(zip_derived_cl13775, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((quotient @ (eta @ X0) @ X1)
% 86.81/13.09 = (product @ X0 @ (j @ (product @ X1 @ X0))))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl13192, zip_derived_cl4])).
% 86.81/13.09 thf(zip_derived_cl169, plain, (![X0 : $i]: ((i @ (j @ X0)) = (X0))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl8])).
% 86.81/13.09 thf(zip_derived_cl11, plain,
% 86.81/13.09 (![X0 : $i]: ((eta @ X0) = (product @ (i @ X0) @ X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos12])).
% 86.81/13.09 thf(zip_derived_cl302, plain,
% 86.81/13.09 (![X0 : $i]: ((eta @ (j @ X0)) = (product @ X0 @ (j @ X0)))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl169, zip_derived_cl11])).
% 86.81/13.09 thf(zip_derived_cl55, plain,
% 86.81/13.09 (![X0 : $i]: ((eta @ X0) = (product @ X0 @ (j @ X0)))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl11])).
% 86.81/13.09 thf(zip_derived_cl305, plain, (![X0 : $i]: ((eta @ (j @ X0)) = (eta @ X0))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl302, zip_derived_cl55])).
% 86.81/13.09 thf(sos01, axiom, (( product @ A @ one ) = ( A ))).
% 86.81/13.09 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ one) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos01])).
% 86.81/13.09 thf(sos13, axiom,
% 86.81/13.09 (( product @ ( i @ ( i @ A ) ) @ B ) =
% 86.81/13.09 ( product @ ( eta @ A ) @ ( product @ A @ B ) ))).
% 86.81/13.09 thf(zip_derived_cl12, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((product @ (i @ (i @ X0)) @ X1)
% 86.81/13.09 = (product @ (eta @ X0) @ (product @ X0 @ X1)))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos13])).
% 86.81/13.09 thf(zip_derived_cl80, plain,
% 86.81/13.09 (![X0 : $i]:
% 86.81/13.09 ((product @ (i @ (i @ X0)) @ one) = (product @ (eta @ X0) @ X0))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl12])).
% 86.81/13.09 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ one) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos01])).
% 86.81/13.09 thf(zip_derived_cl88, plain,
% 86.81/13.09 (![X0 : $i]: ((i @ (i @ X0)) = (product @ (eta @ X0) @ X0))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl0])).
% 86.81/13.09 thf(zip_derived_cl457, plain,
% 86.81/13.09 (![X0 : $i]: ((i @ (i @ (j @ X0))) = (product @ (eta @ X0) @ (j @ X0)))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl305, zip_derived_cl88])).
% 86.81/13.09 thf(zip_derived_cl169, plain, (![X0 : $i]: ((i @ (j @ X0)) = (X0))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl8])).
% 86.81/13.09 thf(zip_derived_cl459, plain,
% 86.81/13.09 (![X0 : $i]: ((i @ X0) = (product @ (eta @ X0) @ (j @ X0)))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl457, zip_derived_cl169])).
% 86.81/13.09 thf(zip_derived_cl6, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 86.81/13.09 ((difference @ X2 @ (product @ (product @ X2 @ X0) @ X1))
% 86.81/13.09 = (quotient @ (product @ X0 @ (product @ X1 @ X2)) @ X2))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos07])).
% 86.81/13.09 thf(zip_derived_cl552, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((difference @ (eta @ X0) @ (product @ (i @ X0) @ X1))
% 86.81/13.09 = (quotient @ (product @ (j @ X0) @ (product @ X1 @ (eta @ X0))) @
% 86.81/13.09 (eta @ X0)))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl459, zip_derived_cl6])).
% 86.81/13.09 thf(sos16, axiom,
% 86.81/13.09 (( product @ ( eta @ A ) @ ( product @ B @ C ) ) =
% 86.81/13.09 ( product @ ( product @ ( eta @ A ) @ B ) @ C ))).
% 86.81/13.09 thf(zip_derived_cl15, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 86.81/13.09 ((product @ (eta @ X0) @ (product @ X1 @ X2))
% 86.81/13.09 = (product @ (product @ (eta @ X0) @ X1) @ X2))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos16])).
% 86.81/13.09 thf(zip_derived_cl6, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 86.81/13.09 ((difference @ X2 @ (product @ (product @ X2 @ X0) @ X1))
% 86.81/13.09 = (quotient @ (product @ X0 @ (product @ X1 @ X2)) @ X2))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos07])).
% 86.81/13.09 thf(zip_derived_cl180, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 86.81/13.09 ((difference @ (eta @ X2) @
% 86.81/13.09 (product @ (eta @ X2) @ (product @ X1 @ X0)))
% 86.81/13.09 = (quotient @ (product @ X1 @ (product @ X0 @ (eta @ X2))) @
% 86.81/13.09 (eta @ X2)))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl6])).
% 86.81/13.09 thf(zip_derived_cl3, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]: ((difference @ X1 @ (product @ X1 @ X0)) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos04])).
% 86.81/13.09 thf(zip_derived_cl197, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 86.81/13.09 ((product @ X1 @ X0)
% 86.81/13.09 = (quotient @ (product @ X1 @ (product @ X0 @ (eta @ X2))) @
% 86.81/13.09 (eta @ X2)))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl180, zip_derived_cl3])).
% 86.81/13.09 thf(zip_derived_cl131338, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((difference @ (eta @ X0) @ (product @ (i @ X0) @ X1))
% 86.81/13.09 = (product @ (j @ X0) @ X1))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl552, zip_derived_cl197])).
% 86.81/13.09 thf(zip_derived_cl131378, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((difference @ (eta @ X1) @ (quotient @ (eta @ (i @ X1)) @ X0))
% 86.81/13.09 = (product @ (j @ X1) @ (j @ (product @ X0 @ (i @ X1)))))),
% 86.81/13.09 inference('sup+', [status(thm)],
% 86.81/13.09 [zip_derived_cl13775, zip_derived_cl131338])).
% 86.81/13.09 thf(zip_derived_cl8, plain,
% 86.81/13.09 (![X0 : $i]: ((i @ X0) = (difference @ X0 @ one))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos09])).
% 86.81/13.09 thf(zip_derived_cl2, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]: ((product @ X1 @ (difference @ X1 @ X0)) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos03])).
% 86.81/13.09 thf(zip_derived_cl22, plain,
% 86.81/13.09 (![X0 : $i]: ((product @ X0 @ (i @ X0)) = (one))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 86.81/13.09 thf(zip_derived_cl12, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((product @ (i @ (i @ X0)) @ X1)
% 86.81/13.09 = (product @ (eta @ X0) @ (product @ X0 @ X1)))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos13])).
% 86.81/13.09 thf(zip_derived_cl82, plain,
% 86.81/13.09 (![X0 : $i]:
% 86.81/13.09 ((product @ (i @ (i @ X0)) @ (i @ X0)) = (product @ (eta @ X0) @ one))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl12])).
% 86.81/13.09 thf(zip_derived_cl11, plain,
% 86.81/13.09 (![X0 : $i]: ((eta @ X0) = (product @ (i @ X0) @ X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos12])).
% 86.81/13.09 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ one) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos01])).
% 86.81/13.09 thf(zip_derived_cl89, plain, (![X0 : $i]: ((eta @ (i @ X0)) = (eta @ X0))),
% 86.81/13.09 inference('demod', [status(thm)],
% 86.81/13.09 [zip_derived_cl82, zip_derived_cl11, zip_derived_cl0])).
% 86.81/13.09 thf(zip_derived_cl169, plain, (![X0 : $i]: ((i @ (j @ X0)) = (X0))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl8])).
% 86.81/13.09 thf(zip_derived_cl15, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 86.81/13.09 ((product @ (eta @ X0) @ (product @ X1 @ X2))
% 86.81/13.09 = (product @ (product @ (eta @ X0) @ X1) @ X2))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos16])).
% 86.81/13.09 thf(sos15, axiom,
% 86.81/13.09 (( product @ A @ ( product @ B @ ( eta @ A ) ) ) =
% 86.81/13.09 ( product @ ( product @ A @ B ) @ ( eta @ A ) ))).
% 86.81/13.09 thf(zip_derived_cl14, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((product @ X0 @ (product @ X1 @ (eta @ X0)))
% 86.81/13.09 = (product @ (product @ X0 @ X1) @ (eta @ X0)))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos15])).
% 86.81/13.09 thf(zip_derived_cl6, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 86.81/13.09 ((difference @ X2 @ (product @ (product @ X2 @ X0) @ X1))
% 86.81/13.09 = (quotient @ (product @ X0 @ (product @ X1 @ X2)) @ X2))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos07])).
% 86.81/13.09 thf(zip_derived_cl142, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 86.81/13.09 ((difference @ (product @ X0 @ X1) @
% 86.81/13.09 (product @ (product @ X0 @ (product @ X1 @ (eta @ X0))) @ X2))
% 86.81/13.09 = (quotient @
% 86.81/13.09 (product @ (eta @ X0) @ (product @ X2 @ (product @ X0 @ X1))) @
% 86.81/13.09 (product @ X0 @ X1)))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl6])).
% 86.81/13.09 thf(zip_derived_cl19137, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 86.81/13.09 ((difference @ (product @ (eta @ X1) @ X2) @
% 86.81/13.09 (product @ (eta @ X1) @
% 86.81/13.09 (product @ (product @ X2 @ (eta @ (eta @ X1))) @ X0)))
% 86.81/13.09 = (quotient @
% 86.81/13.09 (product @ (eta @ (eta @ X1)) @
% 86.81/13.09 (product @ X0 @ (product @ (eta @ X1) @ X2))) @
% 86.81/13.09 (product @ (eta @ X1) @ X2)))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl142])).
% 86.81/13.09 thf(zip_derived_cl89, plain, (![X0 : $i]: ((eta @ (i @ X0)) = (eta @ X0))),
% 86.81/13.09 inference('demod', [status(thm)],
% 86.81/13.09 [zip_derived_cl82, zip_derived_cl11, zip_derived_cl0])).
% 86.81/13.09 thf(zip_derived_cl22, plain,
% 86.81/13.09 (![X0 : $i]: ((product @ X0 @ (i @ X0)) = (one))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 86.81/13.09 thf(sos14, axiom,
% 86.81/13.09 (( product @ A @ ( product @ ( eta @ A ) @ B ) ) =
% 86.81/13.09 ( product @ ( j @ ( j @ A ) ) @ B ))).
% 86.81/13.09 thf(zip_derived_cl13, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((product @ X0 @ (product @ (eta @ X0) @ X1))
% 86.81/13.09 = (product @ (j @ (j @ X0)) @ X1))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos14])).
% 86.81/13.09 thf(zip_derived_cl100, plain,
% 86.81/13.09 (![X0 : $i]:
% 86.81/13.09 ((product @ X0 @ one) = (product @ (j @ (j @ X0)) @ (i @ (eta @ X0))))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl13])).
% 86.81/13.09 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ one) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos01])).
% 86.81/13.09 thf(zip_derived_cl104, plain,
% 86.81/13.09 (![X0 : $i]: ((X0) = (product @ (j @ (j @ X0)) @ (i @ (eta @ X0))))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl0])).
% 86.81/13.09 thf(zip_derived_cl902, plain,
% 86.81/13.09 (![X0 : $i]:
% 86.81/13.09 ((i @ X0) = (product @ (j @ (j @ (i @ X0))) @ (i @ (eta @ X0))))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl104])).
% 86.81/13.09 thf(zip_derived_cl2, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]: ((product @ X1 @ (difference @ X1 @ X0)) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos03])).
% 86.81/13.09 thf(zip_derived_cl4, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]: ((quotient @ (product @ X0 @ X1) @ X1) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos05])).
% 86.81/13.09 thf(zip_derived_cl31, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]: ((quotient @ X0 @ (difference @ X1 @ X0)) = (X1))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 86.81/13.09 thf(zip_derived_cl9, plain, (![X0 : $i]: ((j @ X0) = (quotient @ one @ X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos10])).
% 86.81/13.09 thf(zip_derived_cl333, plain,
% 86.81/13.09 (![X0 : $i]: ((j @ (difference @ X0 @ one)) = (X0))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl9])).
% 86.81/13.09 thf(zip_derived_cl8, plain,
% 86.81/13.09 (![X0 : $i]: ((i @ X0) = (difference @ X0 @ one))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos09])).
% 86.81/13.09 thf(zip_derived_cl341, plain, (![X0 : $i]: ((j @ (i @ X0)) = (X0))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl333, zip_derived_cl8])).
% 86.81/13.09 thf(zip_derived_cl907, plain,
% 86.81/13.09 (![X0 : $i]: ((i @ X0) = (product @ (j @ X0) @ (i @ (eta @ X0))))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl902, zip_derived_cl341])).
% 86.81/13.09 thf(zip_derived_cl14, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((product @ X0 @ (product @ X1 @ (eta @ X0)))
% 86.81/13.09 = (product @ (product @ X0 @ X1) @ (eta @ X0)))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos15])).
% 86.81/13.09 thf(zip_derived_cl1481, plain,
% 86.81/13.09 (![X0 : $i]:
% 86.81/13.09 ((product @ (j @ X0) @ (product @ (i @ (eta @ X0)) @ (eta @ (j @ X0))))
% 86.81/13.09 = (product @ (i @ X0) @ (eta @ (j @ X0))))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl907, zip_derived_cl14])).
% 86.81/13.09 thf(zip_derived_cl305, plain, (![X0 : $i]: ((eta @ (j @ X0)) = (eta @ X0))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl302, zip_derived_cl55])).
% 86.81/13.09 thf(zip_derived_cl11, plain,
% 86.81/13.09 (![X0 : $i]: ((eta @ X0) = (product @ (i @ X0) @ X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos12])).
% 86.81/13.09 thf(zip_derived_cl305, plain, (![X0 : $i]: ((eta @ (j @ X0)) = (eta @ X0))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl302, zip_derived_cl55])).
% 86.81/13.09 thf(zip_derived_cl89, plain, (![X0 : $i]: ((eta @ (i @ X0)) = (eta @ X0))),
% 86.81/13.09 inference('demod', [status(thm)],
% 86.81/13.09 [zip_derived_cl82, zip_derived_cl11, zip_derived_cl0])).
% 86.81/13.09 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ one) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos01])).
% 86.81/13.09 thf(zip_derived_cl13, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((product @ X0 @ (product @ (eta @ X0) @ X1))
% 86.81/13.09 = (product @ (j @ (j @ X0)) @ X1))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos14])).
% 86.81/13.09 thf(zip_derived_cl98, plain,
% 86.81/13.09 (![X0 : $i]:
% 86.81/13.09 ((product @ X0 @ (eta @ X0)) = (product @ (j @ (j @ X0)) @ one))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 86.81/13.09 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ one) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos01])).
% 86.81/13.09 thf(zip_derived_cl103, plain,
% 86.81/13.09 (![X0 : $i]: ((product @ X0 @ (eta @ X0)) = (j @ (j @ X0)))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 86.81/13.09 thf(zip_derived_cl365, plain,
% 86.81/13.09 (![X0 : $i]: ((product @ (i @ X0) @ (eta @ X0)) = (j @ (j @ (i @ X0))))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl103])).
% 86.81/13.09 thf(zip_derived_cl341, plain, (![X0 : $i]: ((j @ (i @ X0)) = (X0))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl333, zip_derived_cl8])).
% 86.81/13.09 thf(zip_derived_cl368, plain,
% 86.81/13.09 (![X0 : $i]: ((product @ (i @ X0) @ (eta @ X0)) = (j @ X0))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl365, zip_derived_cl341])).
% 86.81/13.09 thf(zip_derived_cl1499, plain,
% 86.81/13.09 (![X0 : $i]: ((product @ (j @ X0) @ (eta @ (eta @ X0))) = (j @ X0))),
% 86.81/13.09 inference('demod', [status(thm)],
% 86.81/13.09 [zip_derived_cl1481, zip_derived_cl305, zip_derived_cl11,
% 86.81/13.09 zip_derived_cl305, zip_derived_cl368])).
% 86.81/13.09 thf(zip_derived_cl3, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]: ((difference @ X1 @ (product @ X1 @ X0)) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos04])).
% 86.81/13.09 thf(zip_derived_cl1501, plain,
% 86.81/13.09 (![X0 : $i]: ((difference @ (j @ X0) @ (j @ X0)) = (eta @ (eta @ X0)))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl1499, zip_derived_cl3])).
% 86.81/13.09 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ one) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos01])).
% 86.81/13.09 thf(zip_derived_cl3, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]: ((difference @ X1 @ (product @ X1 @ X0)) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos04])).
% 86.81/13.09 thf(zip_derived_cl24, plain, (![X0 : $i]: ((difference @ X0 @ X0) = (one))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 86.81/13.09 thf(zip_derived_cl1521, plain, (![X0 : $i]: ((one) = (eta @ (eta @ X0)))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl1501, zip_derived_cl24])).
% 86.81/13.09 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ one) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos01])).
% 86.81/13.09 thf(sos17, axiom,
% 86.81/13.09 (( l @ A @ B @ C ) =
% 86.81/13.09 ( difference @ ( product @ A @ B ) @ ( product @ A @ ( product @ B @ C ) ) ))).
% 86.81/13.09 thf(zip_derived_cl16, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 86.81/13.09 ((l @ X0 @ X1 @ X2)
% 86.81/13.09 = (difference @ (product @ X0 @ X1) @
% 86.81/13.09 (product @ X0 @ (product @ X1 @ X2))))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos17])).
% 86.81/13.09 thf(zip_derived_cl1521, plain, (![X0 : $i]: ((one) = (eta @ (eta @ X0)))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl1501, zip_derived_cl24])).
% 86.81/13.09 thf(sos02, axiom, (( product @ one @ A ) = ( A ))).
% 86.81/13.09 thf(zip_derived_cl1, plain, (![X0 : $i]: ((product @ one @ X0) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos02])).
% 86.81/13.09 thf(zip_derived_cl4, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]: ((quotient @ (product @ X0 @ X1) @ X1) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos05])).
% 86.81/13.09 thf(zip_derived_cl19279, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i, X2 : $i]: ((l @ (eta @ X1) @ X2 @ X0) = (X0))),
% 86.81/13.09 inference('demod', [status(thm)],
% 86.81/13.09 [zip_derived_cl19137, zip_derived_cl1521, zip_derived_cl0,
% 86.81/13.09 zip_derived_cl16, zip_derived_cl1521, zip_derived_cl1,
% 86.81/13.09 zip_derived_cl4])).
% 86.81/13.09 thf(zip_derived_cl22, plain,
% 86.81/13.09 (![X0 : $i]: ((product @ X0 @ (i @ X0)) = (one))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 86.81/13.09 thf(zip_derived_cl16, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 86.81/13.09 ((l @ X0 @ X1 @ X2)
% 86.81/13.09 = (difference @ (product @ X0 @ X1) @
% 86.81/13.09 (product @ X0 @ (product @ X1 @ X2))))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos17])).
% 86.81/13.09 thf(zip_derived_cl209, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((l @ X1 @ X0 @ (i @ X0))
% 86.81/13.09 = (difference @ (product @ X1 @ X0) @ (product @ X1 @ one)))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl16])).
% 86.81/13.09 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ one) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos01])).
% 86.81/13.09 thf(zip_derived_cl233, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((l @ X1 @ X0 @ (i @ X0)) = (difference @ (product @ X1 @ X0) @ X1))),
% 86.81/13.09 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl0])).
% 86.81/13.09 thf(zip_derived_cl31, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]: ((quotient @ X0 @ (difference @ X1 @ X0)) = (X1))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl4])).
% 86.81/13.09 thf(zip_derived_cl6779, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((quotient @ X1 @ (l @ X1 @ X0 @ (i @ X0))) = (product @ X1 @ X0))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl233, zip_derived_cl31])).
% 86.81/13.09 thf(zip_derived_cl19491, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((quotient @ (eta @ X1) @ (i @ X0)) = (product @ (eta @ X1) @ X0))),
% 86.81/13.09 inference('sup+', [status(thm)],
% 86.81/13.09 [zip_derived_cl19279, zip_derived_cl6779])).
% 86.81/13.09 thf(zip_derived_cl23126, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((quotient @ (eta @ X1) @ X0) = (product @ (eta @ X1) @ (j @ X0)))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl169, zip_derived_cl19491])).
% 86.81/13.09 thf(zip_derived_cl3, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]: ((difference @ X1 @ (product @ X1 @ X0)) = (X0))),
% 86.81/13.09 inference('cnf', [status(esa)], [sos04])).
% 86.81/13.09 thf(zip_derived_cl27406, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((difference @ (eta @ X1) @ (quotient @ (eta @ X1) @ X0)) = (j @ X0))),
% 86.81/13.09 inference('sup+', [status(thm)], [zip_derived_cl23126, zip_derived_cl3])).
% 86.81/13.09 thf(zip_derived_cl131508, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((j @ X0) = (product @ (j @ X1) @ (j @ (product @ X0 @ (i @ X1)))))),
% 86.81/13.09 inference('demod', [status(thm)],
% 86.81/13.09 [zip_derived_cl131378, zip_derived_cl89, zip_derived_cl27406])).
% 86.81/13.09 thf(zip_derived_cl132373, plain,
% 86.81/13.09 (![X0 : $i, X1 : $i]:
% 86.81/13.09 ((j @ X1) = (product @ (j @ (j @ X0)) @ (j @ (product @ X1 @ X0))))),
% 86.81/13.09 inference('sup+', [status(thm)],
% 86.81/13.09 [zip_derived_cl169, zip_derived_cl131508])).
% 86.81/13.09 thf(zip_derived_cl132505, plain, (((j @ x1) != (j @ x1))),
% 86.81/13.09 inference('demod', [status(thm)],
% 86.81/13.09 [zip_derived_cl20, zip_derived_cl132373])).
% 86.81/13.09 thf(zip_derived_cl132506, plain, ($false),
% 86.81/13.09 inference('simplify', [status(thm)], [zip_derived_cl132505])).
% 86.81/13.09
% 86.81/13.09 % SZS output end Refutation
% 86.81/13.09
% 86.81/13.09
% 86.81/13.09 % Terminating...
% 87.30/13.17 % Runner terminated.
% 87.30/13.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------