TSTP Solution File: TOP051-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : TOP051-1 : 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.Y18CnRCy2j true
% Computer : n028.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 06:04:01 EDT 2023
% Result : Unsatisfiable 1.32s 0.99s
% Output : Refutation 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP051-1 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Y18CnRCy2j true
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 00:14:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.99 % Solved by fo/fo1_av.sh.
% 1.32/0.99 % done 209 iterations in 0.238s
% 1.32/0.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.32/0.99 % SZS output start Refutation
% 1.32/0.99 thf(a7_type, type, a7: $i).
% 1.32/0.99 thf(a10_type, type, a10: $i).
% 1.32/0.99 thf(a9_type, type, a9: $i).
% 1.32/0.99 thf(a2_type, type, a2: $i).
% 1.32/0.99 thf(a6_type, type, a6: $i).
% 1.32/0.99 thf(product_type, type, product: $i > $i > $i).
% 1.32/0.99 thf(tuple_type, type, tuple: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i).
% 1.32/0.99 thf(a11_type, type, a11: $i).
% 1.32/0.99 thf(a4_type, type, a4: $i).
% 1.32/0.99 thf(a3_type, type, a3: $i).
% 1.32/0.99 thf(a1_type, type, a1: $i).
% 1.32/0.99 thf(a8_type, type, a8: $i).
% 1.32/0.99 thf(a5_type, type, a5: $i).
% 1.32/0.99 thf(goal, conjecture,
% 1.32/0.99 (( tuple @ a1 @ a6 @ a5 @ a2 @ a7 @ a3 @ a4 @ a9 @ a10 @ a8 ) =
% 1.32/0.99 ( tuple @ a2 @ a7 @ a6 @ a3 @ a8 @ a4 @ a5 @ a10 @ a11 @ a9 ))).
% 1.32/0.99 thf(zf_stmt_0, negated_conjecture,
% 1.32/0.99 (( tuple @ a1 @ a6 @ a5 @ a2 @ a7 @ a3 @ a4 @ a9 @ a10 @ a8 ) !=
% 1.32/0.99 ( tuple @ a2 @ a7 @ a6 @ a3 @ a8 @ a4 @ a5 @ a10 @ a11 @ a9 )),
% 1.32/0.99 inference('cnf.neg', [status(esa)], [goal])).
% 1.32/0.99 thf(zip_derived_cl13, plain,
% 1.32/0.99 (((tuple @ a1 @ a6 @ a5 @ a2 @ a7 @ a3 @ a4 @ a9 @ a10 @ a8)
% 1.32/0.99 != (tuple @ a2 @ a7 @ a6 @ a3 @ a8 @ a4 @ a5 @ a10 @ a11 @ a9))),
% 1.32/0.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.32/0.99 thf(knot_06, axiom, (( product @ a5 @ a9 ) = ( a6 ))).
% 1.32/0.99 thf(zip_derived_cl7, plain, (((product @ a5 @ a9) = (a6))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_06])).
% 1.32/0.99 thf(involutory_quandle_01, axiom,
% 1.32/0.99 (( product @ ( product @ X @ Y ) @ Y ) = ( X ))).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl24, plain, (((product @ a6 @ a9) = (a5))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 1.32/0.99 thf(knot_10, axiom, (( product @ a9 @ a4 ) = ( a10 ))).
% 1.32/0.99 thf(zip_derived_cl11, plain, (((product @ a9 @ a4) = (a10))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_10])).
% 1.32/0.99 thf(involutory_quandle, axiom, (( product @ X @ X ) = ( X ))).
% 1.32/0.99 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.32/0.99 thf(involutory_quandle_02, axiom,
% 1.32/0.99 (( product @ ( product @ X @ Y ) @ Z ) =
% 1.32/0.99 ( product @ ( product @ X @ Z ) @ ( product @ Y @ Z ) ))).
% 1.32/0.99 thf(zip_derived_cl2, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X2) @ X1)
% 1.32/0.99 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl219, plain,
% 1.32/0.99 (((product @ a10 @ a9) = (product @ a9 @ (product @ a4 @ a9)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl50])).
% 1.32/0.99 thf(knot_09, axiom, (( product @ a8 @ a6 ) = ( a9 ))).
% 1.32/0.99 thf(zip_derived_cl10, plain, (((product @ a8 @ a6) = (a9))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_09])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl26, plain, (((product @ a9 @ a6) = (a8))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 1.32/0.99 thf(knot, axiom, (( product @ a1 @ a6 ) = ( a2 ))).
% 1.32/0.99 thf(zip_derived_cl3, plain, (((product @ a1 @ a6) = (a2))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot])).
% 1.32/0.99 thf(zip_derived_cl2, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X2) @ X1)
% 1.32/0.99 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.32/0.99 thf(zip_derived_cl37, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a1) @ a6)
% 1.32/0.99 = (product @ (product @ X0 @ a6) @ a2))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl96, plain,
% 1.32/0.99 (((product @ (product @ a9 @ a1) @ a6) = (product @ a8 @ a2))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl37])).
% 1.32/0.99 thf(knot_07, axiom, (( product @ a6 @ a2 ) = ( a7 ))).
% 1.32/0.99 thf(zip_derived_cl8, plain, (((product @ a6 @ a2) = (a7))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_07])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl18, plain, (((product @ a7 @ a2) = (a6))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl208, plain,
% 1.32/0.99 (((product @ a6 @ a7) = (product @ a7 @ (product @ a2 @ a7)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl50])).
% 1.32/0.99 thf(knot_03, axiom, (( product @ a2 @ a7 ) = ( a3 ))).
% 1.32/0.99 thf(zip_derived_cl4, plain, (((product @ a2 @ a7) = (a3))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_03])).
% 1.32/0.99 thf(knot_08, axiom, (( product @ a7 @ a3 ) = ( a8 ))).
% 1.32/0.99 thf(zip_derived_cl9, plain, (((product @ a7 @ a3) = (a8))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_08])).
% 1.32/0.99 thf(zip_derived_cl232, plain, (((product @ a6 @ a7) = (a8))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl208, zip_derived_cl4, zip_derived_cl9])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl260, plain,
% 1.32/0.99 (((product @ a8 @ a6) = (product @ a6 @ (product @ a7 @ a6)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl50])).
% 1.32/0.99 thf(zip_derived_cl10, plain, (((product @ a8 @ a6) = (a9))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_09])).
% 1.32/0.99 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.32/0.99 thf(zip_derived_cl37, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a1) @ a6)
% 1.32/0.99 = (product @ (product @ X0 @ a6) @ a2))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl92, plain,
% 1.32/0.99 (((product @ (product @ a6 @ a1) @ a6) = (product @ a6 @ a2))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl37])).
% 1.32/0.99 thf(zip_derived_cl8, plain, (((product @ a6 @ a2) = (a7))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_07])).
% 1.32/0.99 thf(zip_derived_cl98, plain, (((product @ (product @ a6 @ a1) @ a6) = (a7))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl8])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl100, plain, (((product @ a7 @ a6) = (product @ a6 @ a1))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl264, plain,
% 1.32/0.99 (((a9) = (product @ a6 @ (product @ a6 @ a1)))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl260, zip_derived_cl10, zip_derived_cl100])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl2, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X2) @ X1)
% 1.32/0.99 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.32/0.99 thf(zip_derived_cl35, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.99 ((product @ (product @ X2 @ (product @ X0 @ X1)) @ X1)
% 1.32/0.99 = (product @ (product @ X2 @ X1) @ X0))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl716, plain,
% 1.32/0.99 (((product @ a9 @ a1) = (product @ (product @ a6 @ a1) @ a6))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl264, zip_derived_cl35])).
% 1.32/0.99 thf(zip_derived_cl98, plain, (((product @ (product @ a6 @ a1) @ a6) = (a7))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl8])).
% 1.32/0.99 thf(zip_derived_cl775, plain, (((product @ a9 @ a1) = (a7))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl716, zip_derived_cl98])).
% 1.32/0.99 thf(zip_derived_cl100, plain, (((product @ a7 @ a6) = (product @ a6 @ a1))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl893, plain, (((product @ a6 @ a1) = (product @ a8 @ a2))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl96, zip_derived_cl775, zip_derived_cl100])).
% 1.32/0.99 thf(zip_derived_cl8, plain, (((product @ a6 @ a2) = (a7))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_07])).
% 1.32/0.99 thf(zip_derived_cl2, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X2) @ X1)
% 1.32/0.99 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.32/0.99 thf(zip_derived_cl38, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a6) @ a2)
% 1.32/0.99 = (product @ (product @ X0 @ a2) @ a7))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl37, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a1) @ a6)
% 1.32/0.99 = (product @ (product @ X0 @ a6) @ a2))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl941, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a1) @ a6)
% 1.32/0.99 = (product @ (product @ X0 @ a2) @ a7))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl37])).
% 1.32/0.99 thf(zip_derived_cl967, plain,
% 1.32/0.99 (((product @ (product @ a8 @ a1) @ a6)
% 1.32/0.99 = (product @ (product @ a6 @ a1) @ a7))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl893, zip_derived_cl941])).
% 1.32/0.99 thf(zip_derived_cl10, plain, (((product @ a8 @ a6) = (a9))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_09])).
% 1.32/0.99 thf(zip_derived_cl37, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a1) @ a6)
% 1.32/0.99 = (product @ (product @ X0 @ a6) @ a2))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl97, plain,
% 1.32/0.99 (((product @ (product @ a8 @ a1) @ a6) = (product @ a9 @ a2))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl37])).
% 1.32/0.99 thf(zip_derived_cl974, plain,
% 1.32/0.99 (((product @ a9 @ a2) = (product @ (product @ a6 @ a1) @ a7))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl967, zip_derived_cl97])).
% 1.32/0.99 thf(zip_derived_cl9, plain, (((product @ a7 @ a3) = (a8))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_08])).
% 1.32/0.99 thf(zip_derived_cl2, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X2) @ X1)
% 1.32/0.99 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.32/0.99 thf(zip_derived_cl42, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a7) @ a3)
% 1.32/0.99 = (product @ (product @ X0 @ a3) @ a8))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl4, plain, (((product @ a2 @ a7) = (a3))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_03])).
% 1.32/0.99 thf(zip_derived_cl2, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X2) @ X1)
% 1.32/0.99 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.32/0.99 thf(zip_derived_cl40, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a2) @ a7)
% 1.32/0.99 = (product @ (product @ X0 @ a7) @ a3))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl941, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a1) @ a6)
% 1.32/0.99 = (product @ (product @ X0 @ a2) @ a7))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl37])).
% 1.32/0.99 thf(zip_derived_cl1206, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a1) @ a6)
% 1.32/0.99 = (product @ (product @ X0 @ a7) @ a3))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl941])).
% 1.32/0.99 thf(zip_derived_cl1579, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a1) @ a6)
% 1.32/0.99 = (product @ (product @ X0 @ a3) @ a8))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl1206])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl1594, plain,
% 1.32/0.99 (((product @ (product @ a8 @ a1) @ a6)
% 1.32/0.99 = (product @ a8 @ (product @ a3 @ a8)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl1579, zip_derived_cl50])).
% 1.32/0.99 thf(zip_derived_cl97, plain,
% 1.32/0.99 (((product @ (product @ a8 @ a1) @ a6) = (product @ a9 @ a2))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl37])).
% 1.32/0.99 thf(zip_derived_cl4, plain, (((product @ a2 @ a7) = (a3))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_03])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl19, plain, (((product @ a3 @ a7) = (a2))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl211, plain,
% 1.32/0.99 (((product @ a2 @ a3) = (product @ a3 @ (product @ a7 @ a3)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl50])).
% 1.32/0.99 thf(zip_derived_cl9, plain, (((product @ a7 @ a3) = (a8))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_08])).
% 1.32/0.99 thf(zip_derived_cl234, plain, (((product @ a2 @ a3) = (product @ a3 @ a8))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl211, zip_derived_cl9])).
% 1.32/0.99 thf(zip_derived_cl4, plain, (((product @ a2 @ a7) = (a3))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_03])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl206, plain,
% 1.32/0.99 (((product @ a3 @ a2) = (product @ a2 @ (product @ a7 @ a2)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl50])).
% 1.32/0.99 thf(zip_derived_cl18, plain, (((product @ a7 @ a2) = (a6))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl3, plain, (((product @ a1 @ a6) = (a2))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl17, plain, (((product @ a2 @ a6) = (a1))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl231, plain, (((product @ a3 @ a2) = (a1))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl206, zip_derived_cl18, zip_derived_cl17])).
% 1.32/0.99 thf(zip_derived_cl941, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a1) @ a6)
% 1.32/0.99 = (product @ (product @ X0 @ a2) @ a7))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl37])).
% 1.32/0.99 thf(zip_derived_cl966, plain,
% 1.32/0.99 (((product @ (product @ a3 @ a1) @ a6) = (product @ a1 @ a7))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl231, zip_derived_cl941])).
% 1.32/0.99 thf(knot_04, axiom, (( product @ a3 @ a1 ) = ( a4 ))).
% 1.32/0.99 thf(zip_derived_cl5, plain, (((product @ a3 @ a1) = (a4))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_04])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl37, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a1) @ a6)
% 1.32/0.99 = (product @ (product @ X0 @ a6) @ a2))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl193, plain,
% 1.32/0.99 (((product @ (product @ a2 @ a1) @ a6)
% 1.32/0.99 = (product @ a2 @ (product @ a6 @ a2)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl37])).
% 1.32/0.99 thf(zip_derived_cl8, plain, (((product @ a6 @ a2) = (a7))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_07])).
% 1.32/0.99 thf(zip_derived_cl4, plain, (((product @ a2 @ a7) = (a3))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_03])).
% 1.32/0.99 thf(zip_derived_cl244, plain,
% 1.32/0.99 (((product @ (product @ a2 @ a1) @ a6) = (a3))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl193, zip_derived_cl8, zip_derived_cl4])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl430, plain, (((product @ a3 @ a6) = (product @ a2 @ a1))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl37, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a1) @ a6)
% 1.32/0.99 = (product @ (product @ X0 @ a6) @ a2))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl589, plain,
% 1.32/0.99 (((product @ (product @ a3 @ a1) @ a6)
% 1.32/0.99 = (product @ (product @ a2 @ a1) @ a2))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl430, zip_derived_cl37])).
% 1.32/0.99 thf(zip_derived_cl5, plain, (((product @ a3 @ a1) = (a4))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_04])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl17, plain, (((product @ a2 @ a6) = (a1))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl205, plain,
% 1.32/0.99 (((product @ a1 @ a2) = (product @ a2 @ (product @ a6 @ a2)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl50])).
% 1.32/0.99 thf(zip_derived_cl8, plain, (((product @ a6 @ a2) = (a7))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_07])).
% 1.32/0.99 thf(zip_derived_cl4, plain, (((product @ a2 @ a7) = (a3))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_03])).
% 1.32/0.99 thf(zip_derived_cl230, plain, (((product @ a1 @ a2) = (a3))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl205, zip_derived_cl8, zip_derived_cl4])).
% 1.32/0.99 thf(zip_derived_cl590, plain, (((product @ a4 @ a6) = (product @ a2 @ a3))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl589, zip_derived_cl5, zip_derived_cl50,
% 1.32/0.99 zip_derived_cl230])).
% 1.32/0.99 thf(zip_derived_cl973, plain, (((product @ a2 @ a3) = (product @ a1 @ a7))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl966, zip_derived_cl5, zip_derived_cl590])).
% 1.32/0.99 thf(zip_derived_cl979, plain, (((product @ a1 @ a7) = (product @ a3 @ a8))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl234, zip_derived_cl973])).
% 1.32/0.99 thf(zip_derived_cl9, plain, (((product @ a7 @ a3) = (a8))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_08])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl20, plain, (((product @ a8 @ a3) = (a7))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl221, plain,
% 1.32/0.99 (((product @ a7 @ a8) = (product @ a8 @ (product @ a3 @ a8)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl50])).
% 1.32/0.99 thf(zip_derived_cl979, plain, (((product @ a1 @ a7) = (product @ a3 @ a8))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl234, zip_derived_cl973])).
% 1.32/0.99 thf(zip_derived_cl1385, plain,
% 1.32/0.99 (((product @ a7 @ a8) = (product @ a8 @ (product @ a1 @ a7)))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl221, zip_derived_cl979])).
% 1.32/0.99 thf(zip_derived_cl1612, plain, (((product @ a9 @ a2) = (product @ a7 @ a8))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1594, zip_derived_cl97, zip_derived_cl979,
% 1.32/0.99 zip_derived_cl1385])).
% 1.32/0.99 thf(zip_derived_cl1746, plain,
% 1.32/0.99 (((product @ a7 @ a8) = (product @ (product @ a6 @ a1) @ a7))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl974, zip_derived_cl1612])).
% 1.32/0.99 thf(zip_derived_cl1206, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a1) @ a6)
% 1.32/0.99 = (product @ (product @ X0 @ a7) @ a3))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl941])).
% 1.32/0.99 thf(zip_derived_cl1758, plain,
% 1.32/0.99 (((product @ (product @ (product @ a6 @ a1) @ a1) @ a6)
% 1.32/0.99 = (product @ (product @ a7 @ a8) @ a3))),
% 1.32/0.99 inference('s_sup+', [status(thm)],
% 1.32/0.99 [zip_derived_cl1746, zip_derived_cl1206])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.32/0.99 thf(zip_derived_cl1763, plain,
% 1.32/0.99 (((a6) = (product @ (product @ a7 @ a8) @ a3))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1758, zip_derived_cl1, zip_derived_cl0])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl1768, plain, (((product @ a6 @ a3) = (product @ a7 @ a8))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl1763, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl1850, plain,
% 1.32/0.99 (((product @ (product @ a6 @ a3) @ a8) = (a7))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl1768, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl2, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X2) @ X1)
% 1.32/0.99 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl31, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.99 ((product @ (product @ (product @ X2 @ X1) @ X0) @ (product @ X1 @ X0))
% 1.32/0.99 = (product @ X2 @ X0))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl1910, plain,
% 1.32/0.99 (((product @ a7 @ (product @ a3 @ a8)) = (product @ a6 @ a8))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl1850, zip_derived_cl31])).
% 1.32/0.99 thf(zip_derived_cl979, plain, (((product @ a1 @ a7) = (product @ a3 @ a8))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl234, zip_derived_cl973])).
% 1.32/0.99 thf(zip_derived_cl775, plain, (((product @ a9 @ a1) = (a7))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl716, zip_derived_cl98])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl782, plain, (((product @ a7 @ a1) = (a9))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl775, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl796, plain,
% 1.32/0.99 (((product @ a9 @ a7) = (product @ a7 @ (product @ a1 @ a7)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl782, zip_derived_cl50])).
% 1.32/0.99 thf(zip_derived_cl1914, plain, (((product @ a9 @ a7) = (product @ a6 @ a8))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1910, zip_derived_cl979, zip_derived_cl796])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl1955, plain,
% 1.32/0.99 (((product @ (product @ a6 @ a8) @ a7) = (a9))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl1914, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl18, plain, (((product @ a7 @ a2) = (a6))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl2, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X2) @ X1)
% 1.32/0.99 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.32/0.99 thf(zip_derived_cl41, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a7) @ a2)
% 1.32/0.99 = (product @ (product @ X0 @ a2) @ a6))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl17, plain, (((product @ a2 @ a6) = (a1))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl2, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X2) @ X1)
% 1.32/0.99 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.32/0.99 thf(zip_derived_cl39, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a2) @ a6)
% 1.32/0.99 = (product @ (product @ X0 @ a6) @ a1))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl1436, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a7) @ a2)
% 1.32/0.99 = (product @ (product @ X0 @ a6) @ a1))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl39])).
% 1.32/0.99 thf(zip_derived_cl2011, plain,
% 1.32/0.99 (((product @ a9 @ a2)
% 1.32/0.99 = (product @ (product @ (product @ a6 @ a8) @ a6) @ a1))),
% 1.32/0.99 inference('s_sup+', [status(thm)],
% 1.32/0.99 [zip_derived_cl1955, zip_derived_cl1436])).
% 1.32/0.99 thf(zip_derived_cl1612, plain, (((product @ a9 @ a2) = (product @ a7 @ a8))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1594, zip_derived_cl97, zip_derived_cl979,
% 1.32/0.99 zip_derived_cl1385])).
% 1.32/0.99 thf(zip_derived_cl1768, plain, (((product @ a6 @ a3) = (product @ a7 @ a8))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl1763, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl1846, plain, (((product @ a9 @ a2) = (product @ a6 @ a3))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1612, zip_derived_cl1768])).
% 1.32/0.99 thf(zip_derived_cl24, plain, (((product @ a6 @ a9) = (a5))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl204, plain,
% 1.32/0.99 (((product @ a5 @ a6) = (product @ a6 @ (product @ a9 @ a6)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl50])).
% 1.32/0.99 thf(zip_derived_cl26, plain, (((product @ a9 @ a6) = (a8))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl229, plain, (((product @ a5 @ a6) = (product @ a6 @ a8))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl26])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl387, plain,
% 1.32/0.99 (((product @ (product @ a6 @ a8) @ a6) = (a5))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl229, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl2015, plain, (((product @ a6 @ a3) = (product @ a5 @ a1))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2011, zip_derived_cl1846, zip_derived_cl387])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl2019, plain,
% 1.32/0.99 (((product @ (product @ a6 @ a3) @ a1) = (a5))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl2015, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl31, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.99 ((product @ (product @ (product @ X2 @ X1) @ X0) @ (product @ X1 @ X0))
% 1.32/0.99 = (product @ X2 @ X0))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl2145, plain,
% 1.32/0.99 (((product @ a5 @ (product @ a3 @ a1)) = (product @ a6 @ a1))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl2019, zip_derived_cl31])).
% 1.32/0.99 thf(zip_derived_cl5, plain, (((product @ a3 @ a1) = (a4))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_04])).
% 1.32/0.99 thf(knot_05, axiom, (( product @ a4 @ a10 ) = ( a5 ))).
% 1.32/0.99 thf(zip_derived_cl6, plain, (((product @ a4 @ a10) = (a5))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_05])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl213, plain,
% 1.32/0.99 (((product @ a5 @ a4) = (product @ a4 @ (product @ a10 @ a4)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl50])).
% 1.32/0.99 thf(zip_derived_cl11, plain, (((product @ a9 @ a4) = (a10))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_10])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl25, plain, (((product @ a10 @ a4) = (a9))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl235, plain, (((product @ a5 @ a4) = (product @ a4 @ a9))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl25])).
% 1.32/0.99 thf(zip_derived_cl2149, plain, (((product @ a4 @ a9) = (product @ a6 @ a1))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2145, zip_derived_cl5, zip_derived_cl235])).
% 1.32/0.99 thf(zip_derived_cl264, plain,
% 1.32/0.99 (((a9) = (product @ a6 @ (product @ a6 @ a1)))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl260, zip_derived_cl10, zip_derived_cl100])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl622, plain,
% 1.32/0.99 (((product @ a9 @ (product @ a6 @ a1)) = (a6))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl264, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl2152, plain, (((product @ a10 @ a9) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl219, zip_derived_cl2149, zip_derived_cl622])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl2168, plain, (((product @ a6 @ a9) = (a10))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl2152, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl2191, plain, (((a10) = (a5))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl2168])).
% 1.32/0.99 thf(zip_derived_cl2191, plain, (((a10) = (a5))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl2168])).
% 1.32/0.99 thf(zip_derived_cl2241, plain,
% 1.32/0.99 (((tuple @ a1 @ a6 @ a10 @ a2 @ a7 @ a3 @ a4 @ a9 @ a10 @ a8)
% 1.32/0.99 != (tuple @ a2 @ a7 @ a6 @ a3 @ a8 @ a4 @ a10 @ a10 @ a11 @ a9))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl13, zip_derived_cl2191, zip_derived_cl2191])).
% 1.32/0.99 thf(zip_derived_cl6, plain, (((product @ a4 @ a10) = (a5))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_05])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl22, plain, (((product @ a5 @ a10) = (a4))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl2191, plain, (((a10) = (a5))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl2168])).
% 1.32/0.99 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.32/0.99 thf(zip_derived_cl2242, plain, (((a10) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl22, zip_derived_cl2191, zip_derived_cl0])).
% 1.32/0.99 thf(zip_derived_cl2242, plain, (((a10) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl22, zip_derived_cl2191, zip_derived_cl0])).
% 1.32/0.99 thf(zip_derived_cl2242, plain, (((a10) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl22, zip_derived_cl2191, zip_derived_cl0])).
% 1.32/0.99 thf(zip_derived_cl2242, plain, (((a10) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl22, zip_derived_cl2191, zip_derived_cl0])).
% 1.32/0.99 thf(zip_derived_cl2276, plain,
% 1.32/0.99 (((tuple @ a1 @ a6 @ a4 @ a2 @ a7 @ a3 @ a4 @ a9 @ a4 @ a8)
% 1.32/0.99 != (tuple @ a2 @ a7 @ a6 @ a3 @ a8 @ a4 @ a4 @ a4 @ a11 @ a9))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2241, zip_derived_cl2242, zip_derived_cl2242,
% 1.32/0.99 zip_derived_cl2242, zip_derived_cl2242])).
% 1.32/0.99 thf(knot_11, axiom, (( product @ a10 @ a5 ) = ( a11 ))).
% 1.32/0.99 thf(zip_derived_cl12, plain, (((product @ a10 @ a5) = (a11))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_11])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl23, plain, (((product @ a11 @ a5) = (a10))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl2191, plain, (((a10) = (a5))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl2168])).
% 1.32/0.99 thf(zip_derived_cl12, plain, (((product @ a10 @ a5) = (a11))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_11])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl215, plain,
% 1.32/0.99 (((product @ a11 @ a10) = (product @ a10 @ (product @ a5 @ a10)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl50])).
% 1.32/0.99 thf(zip_derived_cl22, plain, (((product @ a5 @ a10) = (a4))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl25, plain, (((product @ a10 @ a4) = (a9))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl237, plain, (((product @ a11 @ a10) = (a9))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl215, zip_derived_cl22, zip_derived_cl25])).
% 1.32/0.99 thf(zip_derived_cl2243, plain, (((a9) = (a10))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl23, zip_derived_cl2191, zip_derived_cl237])).
% 1.32/0.99 thf(zip_derived_cl2242, plain, (((a10) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl22, zip_derived_cl2191, zip_derived_cl0])).
% 1.32/0.99 thf(zip_derived_cl2277, plain, (((a9) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2243, zip_derived_cl2242])).
% 1.32/0.99 thf(zip_derived_cl2277, plain, (((a9) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2243, zip_derived_cl2242])).
% 1.32/0.99 thf(zip_derived_cl2291, plain,
% 1.32/0.99 (((tuple @ a1 @ a6 @ a4 @ a2 @ a7 @ a3 @ a4 @ a4 @ a4 @ a8)
% 1.32/0.99 != (tuple @ a2 @ a7 @ a6 @ a3 @ a8 @ a4 @ a4 @ a4 @ a11 @ a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2276, zip_derived_cl2277, zip_derived_cl2277])).
% 1.32/0.99 thf(zip_derived_cl237, plain, (((product @ a11 @ a10) = (a9))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl215, zip_derived_cl22, zip_derived_cl25])).
% 1.32/0.99 thf(zip_derived_cl12, plain, (((product @ a10 @ a5) = (a11))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_11])).
% 1.32/0.99 thf(zip_derived_cl2191, plain, (((a10) = (a5))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl2168])).
% 1.32/0.99 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.32/0.99 thf(zip_derived_cl2240, plain, (((a10) = (a11))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl12, zip_derived_cl2191, zip_derived_cl0])).
% 1.32/0.99 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.32/0.99 thf(zip_derived_cl2257, plain, (((a10) = (a9))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl237, zip_derived_cl2240, zip_derived_cl0])).
% 1.32/0.99 thf(zip_derived_cl2242, plain, (((a10) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl22, zip_derived_cl2191, zip_derived_cl0])).
% 1.32/0.99 thf(zip_derived_cl23, plain, (((product @ a11 @ a5) = (a10))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl222, plain,
% 1.32/0.99 (((product @ a10 @ a11) = (product @ a11 @ (product @ a5 @ a11)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl50])).
% 1.32/0.99 thf(zip_derived_cl22, plain, (((product @ a5 @ a10) = (a4))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl216, plain,
% 1.32/0.99 (((product @ a4 @ a5) = (product @ a5 @ (product @ a10 @ a5)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl50])).
% 1.32/0.99 thf(zip_derived_cl12, plain, (((product @ a10 @ a5) = (a11))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_11])).
% 1.32/0.99 thf(zip_derived_cl238, plain, (((product @ a4 @ a5) = (product @ a5 @ a11))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl216, zip_derived_cl12])).
% 1.32/0.99 thf(zip_derived_cl1402, plain,
% 1.32/0.99 (((product @ a10 @ a11) = (product @ a11 @ (product @ a4 @ a5)))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl222, zip_derived_cl238])).
% 1.32/0.99 thf(zip_derived_cl35, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.99 ((product @ (product @ X2 @ (product @ X0 @ X1)) @ X1)
% 1.32/0.99 = (product @ (product @ X2 @ X1) @ X0))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl1416, plain,
% 1.32/0.99 (((product @ (product @ a10 @ a11) @ a5)
% 1.32/0.99 = (product @ (product @ a11 @ a5) @ a4))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl1402, zip_derived_cl35])).
% 1.32/0.99 thf(zip_derived_cl23, plain, (((product @ a11 @ a5) = (a10))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl25, plain, (((product @ a10 @ a4) = (a9))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl1418, plain,
% 1.32/0.99 (((product @ (product @ a10 @ a11) @ a5) = (a9))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1416, zip_derived_cl23, zip_derived_cl25])).
% 1.32/0.99 thf(zip_derived_cl2191, plain, (((a10) = (a5))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl2168])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl237, plain, (((product @ a11 @ a10) = (a9))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl215, zip_derived_cl22, zip_derived_cl25])).
% 1.32/0.99 thf(zip_derived_cl2152, plain, (((product @ a10 @ a9) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl219, zip_derived_cl2149, zip_derived_cl622])).
% 1.32/0.99 thf(zip_derived_cl2251, plain, (((a6) = (a9))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1418, zip_derived_cl2191, zip_derived_cl50,
% 1.32/0.99 zip_derived_cl237, zip_derived_cl2152])).
% 1.32/0.99 thf(zip_derived_cl2293, plain, (((a4) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2257, zip_derived_cl2242, zip_derived_cl2251])).
% 1.32/0.99 thf(zip_derived_cl2293, plain, (((a4) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2257, zip_derived_cl2242, zip_derived_cl2251])).
% 1.32/0.99 thf(zip_derived_cl2293, plain, (((a4) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2257, zip_derived_cl2242, zip_derived_cl2251])).
% 1.32/0.99 thf(zip_derived_cl2293, plain, (((a4) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2257, zip_derived_cl2242, zip_derived_cl2251])).
% 1.32/0.99 thf(zip_derived_cl26, plain, (((product @ a9 @ a6) = (a8))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl218, plain,
% 1.32/0.99 (((product @ a8 @ a9) = (product @ a9 @ (product @ a6 @ a9)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl50])).
% 1.32/0.99 thf(zip_derived_cl24, plain, (((product @ a6 @ a9) = (a5))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl239, plain, (((product @ a8 @ a9) = (product @ a9 @ a5))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl218, zip_derived_cl24])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl422, plain,
% 1.32/0.99 (((product @ (product @ a9 @ a5) @ a9) = (a8))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl239, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl1418, plain,
% 1.32/0.99 (((product @ (product @ a10 @ a11) @ a5) = (a9))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1416, zip_derived_cl23, zip_derived_cl25])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl1419, plain,
% 1.32/0.99 (((product @ a9 @ a5) = (product @ a10 @ a11))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl1418, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl1475, plain,
% 1.32/0.99 (((product @ (product @ a10 @ a11) @ a9) = (a8))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl422, zip_derived_cl1419])).
% 1.32/0.99 thf(zip_derived_cl2240, plain, (((a10) = (a11))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl12, zip_derived_cl2191, zip_derived_cl0])).
% 1.32/0.99 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.32/0.99 thf(zip_derived_cl2152, plain, (((product @ a10 @ a9) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl219, zip_derived_cl2149, zip_derived_cl622])).
% 1.32/0.99 thf(zip_derived_cl2260, plain, (((a6) = (a8))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1475, zip_derived_cl2240, zip_derived_cl0,
% 1.32/0.99 zip_derived_cl2152])).
% 1.32/0.99 thf(zip_derived_cl2260, plain, (((a6) = (a8))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1475, zip_derived_cl2240, zip_derived_cl0,
% 1.32/0.99 zip_derived_cl2152])).
% 1.32/0.99 thf(zip_derived_cl2293, plain, (((a4) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2257, zip_derived_cl2242, zip_derived_cl2251])).
% 1.32/0.99 thf(zip_derived_cl2293, plain, (((a4) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2257, zip_derived_cl2242, zip_derived_cl2251])).
% 1.32/0.99 thf(zip_derived_cl2293, plain, (((a4) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2257, zip_derived_cl2242, zip_derived_cl2251])).
% 1.32/0.99 thf(zip_derived_cl2293, plain, (((a4) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2257, zip_derived_cl2242, zip_derived_cl2251])).
% 1.32/0.99 thf(zip_derived_cl2428, plain,
% 1.32/0.99 (((tuple @ a1 @ a6 @ a6 @ a2 @ a7 @ a3 @ a6 @ a6 @ a6 @ a6)
% 1.32/0.99 != (tuple @ a2 @ a7 @ a6 @ a3 @ a6 @ a6 @ a6 @ a6 @ a11 @ a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2291, zip_derived_cl2293, zip_derived_cl2293,
% 1.32/0.99 zip_derived_cl2293, zip_derived_cl2293, zip_derived_cl2260,
% 1.32/0.99 zip_derived_cl2260, zip_derived_cl2293, zip_derived_cl2293,
% 1.32/0.99 zip_derived_cl2293, zip_derived_cl2293])).
% 1.32/0.99 thf(zip_derived_cl9, plain, (((product @ a7 @ a3) = (a8))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_08])).
% 1.32/0.99 thf(zip_derived_cl5, plain, (((product @ a3 @ a1) = (a4))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_04])).
% 1.32/0.99 thf(zip_derived_cl2, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X2) @ X1)
% 1.32/0.99 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.32/0.99 thf(zip_derived_cl43, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a3) @ a1)
% 1.32/0.99 = (product @ (product @ X0 @ a1) @ a4))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl1810, plain,
% 1.32/0.99 (((product @ a8 @ a1) = (product @ (product @ a7 @ a1) @ a4))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl43])).
% 1.32/0.99 thf(zip_derived_cl782, plain, (((product @ a7 @ a1) = (a9))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl775, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl11, plain, (((product @ a9 @ a4) = (a10))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_10])).
% 1.32/0.99 thf(zip_derived_cl1817, plain, (((product @ a8 @ a1) = (a10))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1810, zip_derived_cl782, zip_derived_cl11])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl1822, plain, (((product @ a10 @ a1) = (a8))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl1817, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl2242, plain, (((a10) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl22, zip_derived_cl2191, zip_derived_cl0])).
% 1.32/0.99 thf(zip_derived_cl5, plain, (((product @ a3 @ a1) = (a4))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_04])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl21, plain, (((product @ a4 @ a1) = (a3))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl2265, plain, (((a3) = (a8))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1822, zip_derived_cl2242, zip_derived_cl21])).
% 1.32/0.99 thf(zip_derived_cl2260, plain, (((a6) = (a8))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1475, zip_derived_cl2240, zip_derived_cl0,
% 1.32/0.99 zip_derived_cl2152])).
% 1.32/0.99 thf(zip_derived_cl2430, plain, (((a3) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2265, zip_derived_cl2260])).
% 1.32/0.99 thf(zip_derived_cl2430, plain, (((a3) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2265, zip_derived_cl2260])).
% 1.32/0.99 thf(zip_derived_cl2442, plain,
% 1.32/0.99 (((tuple @ a1 @ a6 @ a6 @ a2 @ a7 @ a6 @ a6 @ a6 @ a6 @ a6)
% 1.32/0.99 != (tuple @ a2 @ a7 @ a6 @ a6 @ a6 @ a6 @ a6 @ a6 @ a11 @ a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2428, zip_derived_cl2430, zip_derived_cl2430])).
% 1.32/0.99 thf(zip_derived_cl1846, plain, (((product @ a9 @ a2) = (product @ a6 @ a3))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1612, zip_derived_cl1768])).
% 1.32/0.99 thf(zip_derived_cl39, plain,
% 1.32/0.99 (![X0 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ a2) @ a6)
% 1.32/0.99 = (product @ (product @ X0 @ a6) @ a1))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl1873, plain,
% 1.32/0.99 (((product @ (product @ a6 @ a3) @ a6)
% 1.32/0.99 = (product @ (product @ a9 @ a6) @ a1))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl1846, zip_derived_cl39])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl430, plain, (((product @ a3 @ a6) = (product @ a2 @ a1))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl26, plain, (((product @ a9 @ a6) = (a8))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl1817, plain, (((product @ a8 @ a1) = (a10))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1810, zip_derived_cl782, zip_derived_cl11])).
% 1.32/0.99 thf(zip_derived_cl1875, plain,
% 1.32/0.99 (((product @ a6 @ (product @ a2 @ a1)) = (a10))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1873, zip_derived_cl50, zip_derived_cl430,
% 1.32/0.99 zip_derived_cl26, zip_derived_cl1817])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl1970, plain,
% 1.32/0.99 (((product @ a10 @ (product @ a2 @ a1)) = (a6))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl1875, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl2242, plain, (((a10) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl22, zip_derived_cl2191, zip_derived_cl0])).
% 1.32/0.99 thf(zip_derived_cl230, plain, (((product @ a1 @ a2) = (a3))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl205, zip_derived_cl8, zip_derived_cl4])).
% 1.32/0.99 thf(zip_derived_cl50, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]:
% 1.32/0.99 ((product @ (product @ X0 @ X1) @ X0)
% 1.32/0.99 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.32/0.99 thf(zip_derived_cl247, plain,
% 1.32/0.99 (((product @ a3 @ a1) = (product @ a1 @ (product @ a2 @ a1)))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl50])).
% 1.32/0.99 thf(zip_derived_cl5, plain, (((product @ a3 @ a1) = (a4))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_04])).
% 1.32/0.99 thf(zip_derived_cl251, plain,
% 1.32/0.99 (((a4) = (product @ a1 @ (product @ a2 @ a1)))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl5])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl603, plain,
% 1.32/0.99 (((product @ a4 @ (product @ a2 @ a1)) = (a1))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2458, plain,
% 1.32/0.99 (((tuple @ a1 @ a1 @ a1 @ a2 @ a7 @ a1 @ a1 @ a1 @ a1 @ a1)
% 1.32/0.99 != (tuple @ a2 @ a7 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a11 @ a1))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2442, zip_derived_cl2268, zip_derived_cl2268,
% 1.32/0.99 zip_derived_cl2268, zip_derived_cl2268, zip_derived_cl2268,
% 1.32/0.99 zip_derived_cl2268, zip_derived_cl2268, zip_derived_cl2268,
% 1.32/0.99 zip_derived_cl2268, zip_derived_cl2268, zip_derived_cl2268,
% 1.32/0.99 zip_derived_cl2268, zip_derived_cl2268, zip_derived_cl2268])).
% 1.32/0.99 thf(zip_derived_cl622, plain,
% 1.32/0.99 (((product @ a9 @ (product @ a6 @ a1)) = (a6))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl264, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl2277, plain, (((a9) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2243, zip_derived_cl2242])).
% 1.32/0.99 thf(zip_derived_cl590, plain, (((product @ a4 @ a6) = (product @ a2 @ a3))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl589, zip_derived_cl5, zip_derived_cl50,
% 1.32/0.99 zip_derived_cl230])).
% 1.32/0.99 thf(zip_derived_cl1, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.32/0.99 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.32/0.99 thf(zip_derived_cl591, plain,
% 1.32/0.99 (((product @ (product @ a2 @ a3) @ a6) = (a4))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl590, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl973, plain, (((product @ a2 @ a3) = (product @ a1 @ a7))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl966, zip_derived_cl5, zip_derived_cl590])).
% 1.32/0.99 thf(zip_derived_cl982, plain,
% 1.32/0.99 (((product @ (product @ a1 @ a7) @ a6) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)], [zip_derived_cl591, zip_derived_cl973])).
% 1.32/0.99 thf(zip_derived_cl31, plain,
% 1.32/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.99 ((product @ (product @ (product @ X2 @ X1) @ X0) @ (product @ X1 @ X0))
% 1.32/0.99 = (product @ X2 @ X0))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl1046, plain,
% 1.32/0.99 (((product @ a4 @ (product @ a7 @ a6)) = (product @ a1 @ a6))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl31])).
% 1.32/0.99 thf(zip_derived_cl100, plain, (((product @ a7 @ a6) = (product @ a6 @ a1))),
% 1.32/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl1])).
% 1.32/0.99 thf(zip_derived_cl3, plain, (((product @ a1 @ a6) = (a2))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot])).
% 1.32/0.99 thf(zip_derived_cl1050, plain,
% 1.32/0.99 (((product @ a4 @ (product @ a6 @ a1)) = (a2))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1046, zip_derived_cl100, zip_derived_cl3])).
% 1.32/0.99 thf(zip_derived_cl2282, plain, (((a2) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl622, zip_derived_cl2277, zip_derived_cl1050])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2459, plain, (((a2) = (a1))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2282, zip_derived_cl2268])).
% 1.32/0.99 thf(zip_derived_cl2459, plain, (((a2) = (a1))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2282, zip_derived_cl2268])).
% 1.32/0.99 thf(zip_derived_cl2240, plain, (((a10) = (a11))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl12, zip_derived_cl2191, zip_derived_cl0])).
% 1.32/0.99 thf(zip_derived_cl2242, plain, (((a10) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl22, zip_derived_cl2191, zip_derived_cl0])).
% 1.32/0.99 thf(zip_derived_cl2275, plain, (((a4) = (a11))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2240, zip_derived_cl2242])).
% 1.32/0.99 thf(zip_derived_cl2460, plain,
% 1.32/0.99 (((tuple @ a1 @ a1 @ a1 @ a1 @ a7 @ a1 @ a1 @ a1 @ a1 @ a1)
% 1.32/0.99 != (tuple @ a1 @ a7 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a4 @ a1))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2458, zip_derived_cl2459, zip_derived_cl2459,
% 1.32/0.99 zip_derived_cl2275])).
% 1.32/0.99 thf(zip_derived_cl2277, plain, (((a9) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2243, zip_derived_cl2242])).
% 1.32/0.99 thf(zip_derived_cl2251, plain, (((a6) = (a9))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1418, zip_derived_cl2191, zip_derived_cl50,
% 1.32/0.99 zip_derived_cl237, zip_derived_cl2152])).
% 1.32/0.99 thf(zip_derived_cl2292, plain, (((a6) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2277, zip_derived_cl2251])).
% 1.32/0.99 thf(zip_derived_cl2268, plain, (((a1) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl1970, zip_derived_cl2242, zip_derived_cl603])).
% 1.32/0.99 thf(zip_derived_cl2461, plain, (((a1) = (a4))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2292, zip_derived_cl2268])).
% 1.32/0.99 thf(zip_derived_cl2464, plain,
% 1.32/0.99 (((tuple @ a1 @ a1 @ a1 @ a1 @ a7 @ a1 @ a1 @ a1 @ a1 @ a1)
% 1.32/0.99 != (tuple @ a1 @ a7 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2460, zip_derived_cl2461])).
% 1.32/0.99 thf(zip_derived_cl231, plain, (((product @ a3 @ a2) = (a1))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl206, zip_derived_cl18, zip_derived_cl17])).
% 1.32/0.99 thf(zip_derived_cl2430, plain, (((a3) = (a6))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2265, zip_derived_cl2260])).
% 1.32/0.99 thf(zip_derived_cl8, plain, (((product @ a6 @ a2) = (a7))),
% 1.32/0.99 inference('cnf', [status(esa)], [knot_07])).
% 1.32/0.99 thf(zip_derived_cl2434, plain, (((a7) = (a1))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl231, zip_derived_cl2430, zip_derived_cl8])).
% 1.32/0.99 thf(zip_derived_cl2434, plain, (((a7) = (a1))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl231, zip_derived_cl2430, zip_derived_cl8])).
% 1.32/0.99 thf(zip_derived_cl2467, plain,
% 1.32/0.99 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1)
% 1.32/0.99 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 1.32/0.99 inference('demod', [status(thm)],
% 1.32/0.99 [zip_derived_cl2464, zip_derived_cl2434, zip_derived_cl2434])).
% 1.32/0.99 thf(zip_derived_cl2468, plain, ($false),
% 1.32/0.99 inference('simplify', [status(thm)], [zip_derived_cl2467])).
% 1.32/0.99
% 1.32/0.99 % SZS output end Refutation
% 1.32/0.99
% 1.32/0.99
% 1.32/0.99 % Terminating...
% 1.59/1.09 % Runner terminated.
% 2.30/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------