TSTP Solution File: TOP049-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : TOP049-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.imao8agRgq true
% Computer : n007.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 : Fri Sep 1 06:04:00 EDT 2023
% Result : Unsatisfiable 1.25s 0.97s
% Output : Refutation 1.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : TOP049-1 : TPTP v8.1.2. Released v8.1.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.imao8agRgq true
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Aug 26 23:10:42 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.17/0.60 % Total configuration time : 435
% 0.17/0.60 % Estimated wc time : 1092
% 0.17/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.92/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.92/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.92/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.92/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.92/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.92/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.92/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.25/0.97 % Solved by fo/fo6_bce.sh.
% 1.25/0.97 % BCE start: 14
% 1.25/0.97 % BCE eliminated: 0
% 1.25/0.97 % PE start: 14
% 1.25/0.97 logic: eq
% 1.25/0.97 % PE eliminated: 0
% 1.25/0.97 % done 103 iterations in 0.259s
% 1.25/0.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.25/0.97 % SZS output start Refutation
% 1.25/0.97 thf(a3_type, type, a3: $i).
% 1.25/0.97 thf(a5_type, type, a5: $i).
% 1.25/0.97 thf(tuple_type, type, tuple: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i).
% 1.25/0.97 thf(a6_type, type, a6: $i).
% 1.25/0.97 thf(a7_type, type, a7: $i).
% 1.25/0.97 thf(a9_type, type, a9: $i).
% 1.25/0.97 thf(product_type, type, product: $i > $i > $i).
% 1.25/0.97 thf(a4_type, type, a4: $i).
% 1.25/0.97 thf(a2_type, type, a2: $i).
% 1.25/0.97 thf(a1_type, type, a1: $i).
% 1.25/0.97 thf(a8_type, type, a8: $i).
% 1.25/0.97 thf(a10_type, type, a10: $i).
% 1.25/0.97 thf(goal, conjecture,
% 1.25/0.97 (( tuple @ a1 @ a9 @ a8 @ a6 @ a7 @ a2 @ a3 @ a4 @ a5 ) =
% 1.25/0.97 ( tuple @ a2 @ a10 @ a9 @ a7 @ a8 @ a3 @ a4 @ a5 @ a6 ))).
% 1.25/0.97 thf(zf_stmt_0, negated_conjecture,
% 1.25/0.97 (( tuple @ a1 @ a9 @ a8 @ a6 @ a7 @ a2 @ a3 @ a4 @ a5 ) !=
% 1.25/0.97 ( tuple @ a2 @ a10 @ a9 @ a7 @ a8 @ a3 @ a4 @ a5 @ a6 )),
% 1.25/0.97 inference('cnf.neg', [status(esa)], [goal])).
% 1.25/0.97 thf(zip_derived_cl13, plain,
% 1.25/0.97 (((tuple @ a1 @ a9 @ a8 @ a6 @ a7 @ a2 @ a3 @ a4 @ a5)
% 1.25/0.97 != (tuple @ a2 @ a10 @ a9 @ a7 @ a8 @ a3 @ a4 @ a5 @ a6))),
% 1.25/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.25/0.97 thf(knot_04, axiom, (( a2 ) = ( product @ a3 @ a4 ))).
% 1.25/0.97 thf(zip_derived_cl5, plain, (((a2) = (product @ a3 @ a4))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_04])).
% 1.25/0.97 thf(involutory_quandle, axiom, (( product @ X @ X ) = ( X ))).
% 1.25/0.97 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.25/0.97 thf(involutory_quandle_02, axiom,
% 1.25/0.97 (( product @ ( product @ X @ Y ) @ Z ) =
% 1.25/0.97 ( product @ ( product @ X @ Z ) @ ( product @ Y @ Z ) ))).
% 1.25/0.97 thf(zip_derived_cl2, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/0.97 ((product @ (product @ X0 @ X2) @ X1)
% 1.25/0.97 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.25/0.97 thf(zip_derived_cl26, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]:
% 1.25/0.97 ((product @ (product @ X0 @ X1) @ X0)
% 1.25/0.97 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.25/0.97 thf(zip_derived_cl469, plain,
% 1.25/0.97 (((product @ a2 @ a3) = (product @ a3 @ (product @ a4 @ a3)))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl26])).
% 1.25/0.97 thf(knot_10, axiom, (( a4 ) = ( product @ a10 @ a3 ))).
% 1.25/0.97 thf(zip_derived_cl11, plain, (((a4) = (product @ a10 @ a3))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_10])).
% 1.25/0.97 thf(involutory_quandle_01, axiom,
% 1.25/0.97 (( product @ ( product @ X @ Y ) @ Y ) = ( X ))).
% 1.25/0.97 thf(zip_derived_cl1, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.25/0.97 thf(zip_derived_cl53, plain, (((product @ a4 @ a3) = (a10))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.25/0.97 thf(zip_derived_cl493, plain, (((product @ a2 @ a3) = (product @ a3 @ a10))),
% 1.25/0.97 inference('demod', [status(thm)], [zip_derived_cl469, zip_derived_cl53])).
% 1.25/0.97 thf(zip_derived_cl1, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.25/0.97 thf(zip_derived_cl638, plain,
% 1.25/0.97 (((product @ (product @ a3 @ a10) @ a3) = (a2))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl493, zip_derived_cl1])).
% 1.25/0.97 thf(zip_derived_cl1, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.25/0.97 thf(zip_derived_cl2, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/0.97 ((product @ (product @ X0 @ X2) @ X1)
% 1.25/0.97 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.25/0.97 thf(zip_derived_cl27, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/0.97 ((product @ (product @ (product @ X0 @ X1) @ X2) @ X1)
% 1.25/0.97 = (product @ X0 @ (product @ X2 @ X1)))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.25/0.97 thf(zip_derived_cl821, plain,
% 1.25/0.97 (((product @ a2 @ a10) = (product @ a3 @ (product @ a3 @ a10)))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl638, zip_derived_cl27])).
% 1.25/0.97 thf(knot_05, axiom, (( a5 ) = ( product @ a2 @ a10 ))).
% 1.25/0.97 thf(zip_derived_cl6, plain, (((a5) = (product @ a2 @ a10))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_05])).
% 1.25/0.97 thf(zip_derived_cl826, plain,
% 1.25/0.97 (((a5) = (product @ a3 @ (product @ a3 @ a10)))),
% 1.25/0.97 inference('demod', [status(thm)], [zip_derived_cl821, zip_derived_cl6])).
% 1.25/0.97 thf(zip_derived_cl5, plain, (((a2) = (product @ a3 @ a4))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_04])).
% 1.25/0.97 thf(zip_derived_cl2, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/0.97 ((product @ (product @ X0 @ X2) @ X1)
% 1.25/0.97 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.25/0.97 thf(zip_derived_cl36, plain,
% 1.25/0.97 (![X0 : $i]:
% 1.25/0.97 ((product @ (product @ a3 @ X0) @ a4)
% 1.25/0.97 = (product @ a2 @ (product @ X0 @ a4)))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 1.25/0.97 thf(zip_derived_cl973, plain,
% 1.25/0.97 (((product @ a5 @ a4)
% 1.25/0.97 = (product @ a2 @ (product @ (product @ a3 @ a10) @ a4)))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl826, zip_derived_cl36])).
% 1.25/0.97 thf(knot_06, axiom, (( a6 ) = ( product @ a5 @ a4 ))).
% 1.25/0.97 thf(zip_derived_cl7, plain, (((a6) = (product @ a5 @ a4))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_06])).
% 1.25/0.97 thf(zip_derived_cl36, plain,
% 1.25/0.97 (![X0 : $i]:
% 1.25/0.97 ((product @ (product @ a3 @ X0) @ a4)
% 1.25/0.97 = (product @ a2 @ (product @ X0 @ a4)))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 1.25/0.97 thf(zip_derived_cl53, plain, (((product @ a4 @ a3) = (a10))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.25/0.97 thf(zip_derived_cl26, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]:
% 1.25/0.97 ((product @ (product @ X0 @ X1) @ X0)
% 1.25/0.97 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.25/0.97 thf(zip_derived_cl472, plain,
% 1.25/0.97 (((product @ a10 @ a4) = (product @ a4 @ (product @ a3 @ a4)))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl26])).
% 1.25/0.97 thf(zip_derived_cl5, plain, (((a2) = (product @ a3 @ a4))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_04])).
% 1.25/0.97 thf(zip_derived_cl495, plain, (((product @ a10 @ a4) = (product @ a4 @ a2))),
% 1.25/0.97 inference('demod', [status(thm)], [zip_derived_cl472, zip_derived_cl5])).
% 1.25/0.97 thf(zip_derived_cl5, plain, (((a2) = (product @ a3 @ a4))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_04])).
% 1.25/0.97 thf(zip_derived_cl1, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.25/0.97 thf(zip_derived_cl35, plain, (((product @ a2 @ a4) = (a3))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.25/0.97 thf(zip_derived_cl26, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]:
% 1.25/0.97 ((product @ (product @ X0 @ X1) @ X0)
% 1.25/0.97 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.25/0.97 thf(zip_derived_cl470, plain,
% 1.25/0.97 (((product @ a3 @ a2) = (product @ a2 @ (product @ a4 @ a2)))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl26])).
% 1.25/0.97 thf(knot_03, axiom, (( a3 ) = ( product @ a1 @ a2 ))).
% 1.25/0.97 thf(zip_derived_cl4, plain, (((a3) = (product @ a1 @ a2))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_03])).
% 1.25/0.97 thf(zip_derived_cl1, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.25/0.97 thf(zip_derived_cl32, plain, (((product @ a3 @ a2) = (a1))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 1.25/0.97 thf(zip_derived_cl494, plain,
% 1.25/0.97 (((a1) = (product @ a2 @ (product @ a4 @ a2)))),
% 1.25/0.97 inference('demod', [status(thm)], [zip_derived_cl470, zip_derived_cl32])).
% 1.25/0.97 thf(zip_derived_cl976, plain, (((a6) = (product @ a2 @ a1))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl973, zip_derived_cl7, zip_derived_cl36,
% 1.25/0.97 zip_derived_cl495, zip_derived_cl494])).
% 1.25/0.97 thf(zip_derived_cl1, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.25/0.97 thf(zip_derived_cl989, plain, (((product @ a6 @ a1) = (a2))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl976, zip_derived_cl1])).
% 1.25/0.97 thf(knot_07, axiom, (( a7 ) = ( product @ a6 @ a1 ))).
% 1.25/0.97 thf(zip_derived_cl8, plain, (((a7) = (product @ a6 @ a1))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_07])).
% 1.25/0.97 thf(zip_derived_cl1001, plain, (((a7) = (a2))),
% 1.25/0.97 inference('demod', [status(thm)], [zip_derived_cl989, zip_derived_cl8])).
% 1.25/0.97 thf(zip_derived_cl1001, plain, (((a7) = (a2))),
% 1.25/0.97 inference('demod', [status(thm)], [zip_derived_cl989, zip_derived_cl8])).
% 1.25/0.97 thf(zip_derived_cl1052, plain,
% 1.25/0.97 (((tuple @ a1 @ a9 @ a8 @ a6 @ a7 @ a7 @ a3 @ a4 @ a5)
% 1.25/0.97 != (tuple @ a7 @ a10 @ a9 @ a7 @ a8 @ a3 @ a4 @ a5 @ a6))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl13, zip_derived_cl1001, zip_derived_cl1001])).
% 1.25/0.97 thf(zip_derived_cl35, plain, (((product @ a2 @ a4) = (a3))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.25/0.97 thf(zip_derived_cl1001, plain, (((a7) = (a2))),
% 1.25/0.97 inference('demod', [status(thm)], [zip_derived_cl989, zip_derived_cl8])).
% 1.25/0.97 thf(knot_08, axiom, (( a8 ) = ( product @ a7 @ a4 ))).
% 1.25/0.97 thf(zip_derived_cl9, plain, (((a8) = (product @ a7 @ a4))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_08])).
% 1.25/0.97 thf(zip_derived_cl1056, plain, (((a8) = (a3))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl35, zip_derived_cl1001, zip_derived_cl9])).
% 1.25/0.97 thf(zip_derived_cl4, plain, (((a3) = (product @ a1 @ a2))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_03])).
% 1.25/0.97 thf(zip_derived_cl1001, plain, (((a7) = (a2))),
% 1.25/0.97 inference('demod', [status(thm)], [zip_derived_cl989, zip_derived_cl8])).
% 1.25/0.97 thf(knot, axiom, (( a1 ) = ( product @ a9 @ a7 ))).
% 1.25/0.97 thf(zip_derived_cl3, plain, (((a1) = (product @ a9 @ a7))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot])).
% 1.25/0.97 thf(zip_derived_cl1, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.25/0.97 thf(zip_derived_cl17, plain, (((product @ a1 @ a7) = (a9))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.25/0.97 thf(zip_derived_cl1049, plain, (((a3) = (a9))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl4, zip_derived_cl1001, zip_derived_cl17])).
% 1.25/0.97 thf(zip_derived_cl1071, plain, (((a8) = (a9))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl1056, zip_derived_cl1049])).
% 1.25/0.97 thf(zip_derived_cl1049, plain, (((a3) = (a9))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl4, zip_derived_cl1001, zip_derived_cl17])).
% 1.25/0.97 thf(zip_derived_cl1071, plain, (((a8) = (a9))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl1056, zip_derived_cl1049])).
% 1.25/0.97 thf(zip_derived_cl1049, plain, (((a3) = (a9))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl4, zip_derived_cl1001, zip_derived_cl17])).
% 1.25/0.97 thf(zip_derived_cl1080, plain,
% 1.25/0.97 (((tuple @ a1 @ a9 @ a9 @ a6 @ a7 @ a7 @ a9 @ a4 @ a5)
% 1.25/0.97 != (tuple @ a7 @ a10 @ a9 @ a7 @ a9 @ a9 @ a4 @ a5 @ a6))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl1052, zip_derived_cl1071, zip_derived_cl1049,
% 1.25/0.97 zip_derived_cl1071, zip_derived_cl1049])).
% 1.25/0.97 thf(zip_derived_cl495, plain, (((product @ a10 @ a4) = (product @ a4 @ a2))),
% 1.25/0.97 inference('demod', [status(thm)], [zip_derived_cl472, zip_derived_cl5])).
% 1.25/0.97 thf(zip_derived_cl1, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.25/0.97 thf(zip_derived_cl675, plain,
% 1.25/0.97 (((product @ (product @ a4 @ a2) @ a4) = (a10))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl495, zip_derived_cl1])).
% 1.25/0.97 thf(zip_derived_cl1001, plain, (((a7) = (a2))),
% 1.25/0.97 inference('demod', [status(thm)], [zip_derived_cl989, zip_derived_cl8])).
% 1.25/0.97 thf(knot_11, axiom, (( a9 ) = ( product @ a4 @ a8 ))).
% 1.25/0.97 thf(zip_derived_cl12, plain, (((a9) = (product @ a4 @ a8))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_11])).
% 1.25/0.97 thf(zip_derived_cl26, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]:
% 1.25/0.97 ((product @ (product @ X0 @ X1) @ X0)
% 1.25/0.97 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.25/0.97 thf(zip_derived_cl473, plain,
% 1.25/0.97 (((product @ a9 @ a4) = (product @ a4 @ (product @ a8 @ a4)))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl26])).
% 1.25/0.97 thf(zip_derived_cl9, plain, (((a8) = (product @ a7 @ a4))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_08])).
% 1.25/0.97 thf(zip_derived_cl1, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.25/0.97 thf(zip_derived_cl47, plain, (((product @ a8 @ a4) = (a7))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 1.25/0.97 thf(zip_derived_cl496, plain, (((product @ a9 @ a4) = (product @ a4 @ a7))),
% 1.25/0.97 inference('demod', [status(thm)], [zip_derived_cl473, zip_derived_cl47])).
% 1.25/0.97 thf(zip_derived_cl1, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.25/0.97 thf(zip_derived_cl1065, plain, (((a9) = (a10))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl675, zip_derived_cl1001, zip_derived_cl496,
% 1.25/0.97 zip_derived_cl1])).
% 1.25/0.97 thf(zip_derived_cl1083, plain,
% 1.25/0.97 (((tuple @ a1 @ a9 @ a9 @ a6 @ a7 @ a7 @ a9 @ a4 @ a5)
% 1.25/0.97 != (tuple @ a7 @ a9 @ a9 @ a7 @ a9 @ a9 @ a4 @ a5 @ a6))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl1080, zip_derived_cl1065])).
% 1.25/0.97 thf(zip_derived_cl11, plain, (((a4) = (product @ a10 @ a3))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_10])).
% 1.25/0.97 thf(zip_derived_cl1049, plain, (((a3) = (a9))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl4, zip_derived_cl1001, zip_derived_cl17])).
% 1.25/0.97 thf(knot_09, axiom, (( a10 ) = ( product @ a8 @ a9 ))).
% 1.25/0.97 thf(zip_derived_cl10, plain, (((a10) = (product @ a8 @ a9))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_09])).
% 1.25/0.97 thf(zip_derived_cl1, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.25/0.97 thf(zip_derived_cl50, plain, (((product @ a10 @ a9) = (a8))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 1.25/0.97 thf(zip_derived_cl1067, plain, (((a4) = (a8))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl11, zip_derived_cl1049, zip_derived_cl50])).
% 1.25/0.97 thf(zip_derived_cl1071, plain, (((a8) = (a9))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl1056, zip_derived_cl1049])).
% 1.25/0.97 thf(zip_derived_cl1084, plain, (((a4) = (a9))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl1067, zip_derived_cl1071])).
% 1.25/0.97 thf(zip_derived_cl1084, plain, (((a4) = (a9))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl1067, zip_derived_cl1071])).
% 1.25/0.97 thf(zip_derived_cl1089, plain,
% 1.25/0.97 (((tuple @ a1 @ a9 @ a9 @ a6 @ a7 @ a7 @ a9 @ a9 @ a5)
% 1.25/0.97 != (tuple @ a7 @ a9 @ a9 @ a7 @ a9 @ a9 @ a9 @ a5 @ a6))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl1083, zip_derived_cl1084, zip_derived_cl1084])).
% 1.25/0.97 thf(zip_derived_cl10, plain, (((a10) = (product @ a8 @ a9))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_09])).
% 1.25/0.97 thf(zip_derived_cl26, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]:
% 1.25/0.97 ((product @ (product @ X0 @ X1) @ X0)
% 1.25/0.97 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.25/0.97 thf(zip_derived_cl481, plain,
% 1.25/0.97 (((product @ a10 @ a8) = (product @ a8 @ (product @ a9 @ a8)))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl26])).
% 1.25/0.97 thf(zip_derived_cl12, plain, (((a9) = (product @ a4 @ a8))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_11])).
% 1.25/0.97 thf(zip_derived_cl1, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.25/0.97 thf(zip_derived_cl56, plain, (((product @ a9 @ a8) = (a4))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 1.25/0.97 thf(zip_derived_cl47, plain, (((product @ a8 @ a4) = (a7))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 1.25/0.97 thf(zip_derived_cl497, plain, (((product @ a10 @ a8) = (a7))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl481, zip_derived_cl56, zip_derived_cl47])).
% 1.25/0.97 thf(zip_derived_cl1071, plain, (((a8) = (a9))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl1056, zip_derived_cl1049])).
% 1.25/0.97 thf(zip_derived_cl50, plain, (((product @ a10 @ a9) = (a8))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 1.25/0.97 thf(zip_derived_cl1071, plain, (((a8) = (a9))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl1056, zip_derived_cl1049])).
% 1.25/0.97 thf(zip_derived_cl1078, plain, (((a9) = (a7))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl497, zip_derived_cl1071, zip_derived_cl50,
% 1.25/0.97 zip_derived_cl1071])).
% 1.25/0.97 thf(zip_derived_cl1078, plain, (((a9) = (a7))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl497, zip_derived_cl1071, zip_derived_cl50,
% 1.25/0.97 zip_derived_cl1071])).
% 1.25/0.97 thf(zip_derived_cl1078, plain, (((a9) = (a7))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl497, zip_derived_cl1071, zip_derived_cl50,
% 1.25/0.97 zip_derived_cl1071])).
% 1.25/0.97 thf(zip_derived_cl1078, plain, (((a9) = (a7))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl497, zip_derived_cl1071, zip_derived_cl50,
% 1.25/0.97 zip_derived_cl1071])).
% 1.25/0.97 thf(zip_derived_cl1099, plain,
% 1.25/0.97 (((tuple @ a1 @ a9 @ a9 @ a6 @ a9 @ a9 @ a9 @ a9 @ a5)
% 1.25/0.97 != (tuple @ a9 @ a9 @ a9 @ a9 @ a9 @ a9 @ a9 @ a5 @ a6))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl1089, zip_derived_cl1078, zip_derived_cl1078,
% 1.25/0.97 zip_derived_cl1078, zip_derived_cl1078])).
% 1.25/0.97 thf(zip_derived_cl496, plain, (((product @ a9 @ a4) = (product @ a4 @ a7))),
% 1.25/0.97 inference('demod', [status(thm)], [zip_derived_cl473, zip_derived_cl47])).
% 1.25/0.97 thf(zip_derived_cl1084, plain, (((a4) = (a9))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl1067, zip_derived_cl1071])).
% 1.25/0.97 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.25/0.97 thf(zip_derived_cl1084, plain, (((a4) = (a9))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl1067, zip_derived_cl1071])).
% 1.25/0.97 thf(zip_derived_cl3, plain, (((a1) = (product @ a9 @ a7))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot])).
% 1.25/0.97 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.97 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.97 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.97 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.97 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.97 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.97 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.97 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.97 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.97 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.97 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.97 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.97 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.97 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.97 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.97 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.97 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.97 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.97 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.97 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.97 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.97 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.97 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.97 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.97 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.97 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.97 thf(zip_derived_cl1107, plain,
% 1.25/0.97 (((tuple @ a1 @ a1 @ a1 @ a6 @ a1 @ a1 @ a1 @ a1 @ a5)
% 1.25/0.97 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5 @ a6))),
% 1.25/0.97 inference('demod', [status(thm)],
% 1.25/0.97 [zip_derived_cl1099, zip_derived_cl1087, zip_derived_cl1087,
% 1.25/0.97 zip_derived_cl1087, zip_derived_cl1087, zip_derived_cl1087,
% 1.25/0.97 zip_derived_cl1087, zip_derived_cl1087, zip_derived_cl1087,
% 1.25/0.97 zip_derived_cl1087, zip_derived_cl1087, zip_derived_cl1087,
% 1.25/0.97 zip_derived_cl1087, zip_derived_cl1087])).
% 1.25/0.97 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.25/0.97 thf(zip_derived_cl3, plain, (((a1) = (product @ a9 @ a7))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot])).
% 1.25/0.97 thf(zip_derived_cl2, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/0.97 ((product @ (product @ X0 @ X2) @ X1)
% 1.25/0.97 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.25/0.97 thf(zip_derived_cl25, plain,
% 1.25/0.97 (![X0 : $i]:
% 1.25/0.97 ((product @ (product @ X0 @ a9) @ a7)
% 1.25/0.97 = (product @ (product @ X0 @ a7) @ a1))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.25/0.97 thf(zip_derived_cl388, plain,
% 1.25/0.97 (((product @ (product @ a7 @ a9) @ a7) = (product @ a7 @ a1))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl25])).
% 1.25/0.97 thf(zip_derived_cl8, plain, (((a7) = (product @ a6 @ a1))),
% 1.25/0.97 inference('cnf', [status(esa)], [knot_07])).
% 1.25/0.97 thf(zip_derived_cl1, plain,
% 1.25/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.25/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.25/0.97 thf(zip_derived_cl44, plain, (((product @ a7 @ a1) = (a6))),
% 1.25/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 1.25/0.98 thf(zip_derived_cl393, plain,
% 1.25/0.98 (((product @ (product @ a7 @ a9) @ a7) = (a6))),
% 1.25/0.98 inference('demod', [status(thm)], [zip_derived_cl388, zip_derived_cl44])).
% 1.25/0.98 thf(zip_derived_cl1078, plain, (((a9) = (a7))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl497, zip_derived_cl1071, zip_derived_cl50,
% 1.25/0.98 zip_derived_cl1071])).
% 1.25/0.98 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.25/0.98 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.25/0.98 thf(zip_derived_cl1078, plain, (((a9) = (a7))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl497, zip_derived_cl1071, zip_derived_cl50,
% 1.25/0.98 zip_derived_cl1071])).
% 1.25/0.98 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.25/0.98 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.25/0.98 thf(zip_derived_cl1096, plain, (((a9) = (a6))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl393, zip_derived_cl1078, zip_derived_cl0,
% 1.25/0.98 zip_derived_cl1078, zip_derived_cl0])).
% 1.25/0.98 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.98 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.98 thf(zip_derived_cl1108, plain, (((a1) = (a6))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl1096, zip_derived_cl1087])).
% 1.25/0.98 thf(zip_derived_cl1108, plain, (((a1) = (a6))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl1096, zip_derived_cl1087])).
% 1.25/0.98 thf(zip_derived_cl1109, plain,
% 1.25/0.98 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5)
% 1.25/0.98 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5 @ a1))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl1107, zip_derived_cl1108, zip_derived_cl1108])).
% 1.25/0.98 thf(zip_derived_cl6, plain, (((a5) = (product @ a2 @ a10))),
% 1.25/0.98 inference('cnf', [status(esa)], [knot_05])).
% 1.25/0.98 thf(zip_derived_cl1001, plain, (((a7) = (a2))),
% 1.25/0.98 inference('demod', [status(thm)], [zip_derived_cl989, zip_derived_cl8])).
% 1.25/0.98 thf(zip_derived_cl1051, plain, (((a5) = (product @ a7 @ a10))),
% 1.25/0.98 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl1001])).
% 1.25/0.98 thf(zip_derived_cl1078, plain, (((a9) = (a7))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl497, zip_derived_cl1071, zip_derived_cl50,
% 1.25/0.98 zip_derived_cl1071])).
% 1.25/0.98 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.98 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.98 thf(zip_derived_cl1105, plain, (((a1) = (a7))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl1078, zip_derived_cl1087])).
% 1.25/0.98 thf(zip_derived_cl1065, plain, (((a9) = (a10))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl675, zip_derived_cl1001, zip_derived_cl496,
% 1.25/0.98 zip_derived_cl1])).
% 1.25/0.98 thf(zip_derived_cl1087, plain, (((a9) = (a1))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl496, zip_derived_cl1084, zip_derived_cl0,
% 1.25/0.98 zip_derived_cl1084, zip_derived_cl3])).
% 1.25/0.98 thf(zip_derived_cl1103, plain, (((a1) = (a10))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl1065, zip_derived_cl1087])).
% 1.25/0.98 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.25/0.98 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.25/0.98 thf(zip_derived_cl1203, plain, (((a5) = (a1))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl1051, zip_derived_cl1105, zip_derived_cl1103,
% 1.25/0.98 zip_derived_cl0])).
% 1.25/0.98 thf(zip_derived_cl1203, plain, (((a5) = (a1))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl1051, zip_derived_cl1105, zip_derived_cl1103,
% 1.25/0.98 zip_derived_cl0])).
% 1.25/0.98 thf(zip_derived_cl1204, plain,
% 1.25/0.98 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1)
% 1.25/0.98 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 1.25/0.98 inference('demod', [status(thm)],
% 1.25/0.98 [zip_derived_cl1109, zip_derived_cl1203, zip_derived_cl1203])).
% 1.25/0.98 thf(zip_derived_cl1205, plain, ($false),
% 1.25/0.98 inference('simplify', [status(thm)], [zip_derived_cl1204])).
% 1.25/0.98
% 1.25/0.98 % SZS output end Refutation
% 1.25/0.98
% 1.25/0.98
% 1.25/0.98 % Terminating...
% 1.64/1.03 % Runner terminated.
% 1.64/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------