%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : TOP053-1 : TPTP v9.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Bx09V22S7J 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 : Thu Oct 2 05:08:49 PM UTC 2025
% Result : Unsatisfiable 4.74s 1.51s
% Output : Refutation 4.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP053-1 : TPTP v9.2.0. Released v8.1.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Bx09V22S7J true
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 15:41:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.53/0.65 % Total configuration time : 435
% 0.53/0.65 % Estimated wc time : 1092
% 0.53/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.83 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.83 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.84 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.84 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.84 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.74/1.51 % Solved by fo/fo5.sh.
% 4.74/1.51 % done 243 iterations in 0.584s
% 4.74/1.51 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.74/1.51 % SZS output start Refutation
% 4.74/1.51 thf(a4_type, type, a4: $i).
% 4.74/1.51 thf(a7_type, type, a7: $i).
% 4.74/1.51 thf(tuple_type, type, tuple: $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 4.74/1.51 $i > $i > $i > $i > $i > $i).
% 4.74/1.51 thf(a13_type, type, a13: $i).
% 4.74/1.51 thf(a9_type, type, a9: $i).
% 4.74/1.51 thf(a3_type, type, a3: $i).
% 4.74/1.51 thf(a2_type, type, a2: $i).
% 4.74/1.51 thf(a15_type, type, a15: $i).
% 4.74/1.51 thf(product_type, type, product: $i > $i > $i).
% 4.74/1.51 thf(a14_type, type, a14: $i).
% 4.74/1.51 thf(a11_type, type, a11: $i).
% 4.74/1.51 thf(a6_type, type, a6: $i).
% 4.74/1.51 thf(a5_type, type, a5: $i).
% 4.74/1.51 thf(a1_type, type, a1: $i).
% 4.74/1.51 thf(a10_type, type, a10: $i).
% 4.74/1.51 thf(a12_type, type, a12: $i).
% 4.74/1.51 thf(a8_type, type, a8: $i).
% 4.74/1.51 thf(goal, conjecture,
% 4.74/1.51 (( tuple @
% 4.74/1.51 a1 @ a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a8 @ a9 @ a10 @ a11 @ a12 @ a13 @ a14 ) =
% 4.74/1.51 ( tuple @
% 4.74/1.51 a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a8 @ a9 @ a10 @ a11 @ a12 @ a13 @ a14 @
% 4.74/1.51 a15 ))).
% 4.74/1.51 thf(zf_stmt_0, negated_conjecture,
% 4.74/1.51 (( tuple @
% 4.74/1.51 a1 @ a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a8 @ a9 @ a10 @ a11 @ a12 @ a13 @ a14 ) !=
% 4.74/1.51 ( tuple @
% 4.74/1.51 a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a8 @ a9 @ a10 @ a11 @ a12 @ a13 @ a14 @
% 4.74/1.51 a15 )),
% 4.74/1.51 inference('cnf.neg', [status(esa)], [goal])).
% 4.74/1.51 thf(zip_derived_cl18, plain,
% 4.74/1.51 (((tuple @ a1 @ a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a8 @ a9 @ a10 @ a11 @
% 4.74/1.51 a12 @ a13 @ a14)
% 4.74/1.51 != (tuple @ a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a8 @ a9 @ a10 @ a11 @ a12 @
% 4.74/1.51 a13 @ a14 @ a15))),
% 4.74/1.51 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.74/1.51 thf(knot_09, axiom, (( product @ a12 @ a3 ) = ( a13 ))).
% 4.74/1.51 thf(zip_derived_cl10, plain, (((product @ a12 @ a3) = (a13))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_09])).
% 4.74/1.51 thf(knot_05, axiom, (( product @ a7 @ a3 ) = ( a8 ))).
% 4.74/1.51 thf(zip_derived_cl6, plain, (((product @ a7 @ a3) = (a8))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_05])).
% 4.74/1.51 thf(involutory_quandle_02, axiom,
% 4.74/1.51 (( product @ ( product @ X @ Y ) @ Z ) =
% 4.74/1.51 ( product @ ( product @ X @ Z ) @ ( product @ Y @ Z ) ))).
% 4.74/1.51 thf(zip_derived_cl2, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ X2) @ X1)
% 4.74/1.51 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 4.74/1.51 thf(zip_derived_cl62, plain,
% 4.74/1.51 (![X0 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ a7) @ a3)
% 4.74/1.51 = (product @ (product @ X0 @ a3) @ a8))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 4.74/1.51 thf(zip_derived_cl2063, plain,
% 4.74/1.51 (((product @ (product @ a12 @ a7) @ a3) = (product @ a13 @ a8))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl62])).
% 4.74/1.51 thf(involutory_quandle, axiom, (( product @ X @ X ) = ( X ))).
% 4.74/1.51 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle])).
% 4.74/1.51 thf(knot_11, axiom, (( product @ a6 @ a7 ) = ( a2 ))).
% 4.74/1.51 thf(zip_derived_cl12, plain, (((product @ a6 @ a7) = (a2))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_11])).
% 4.74/1.51 thf(zip_derived_cl2, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ X2) @ X1)
% 4.74/1.51 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 4.74/1.51 thf(zip_derived_cl60, plain,
% 4.74/1.51 (![X0 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ a6) @ a7)
% 4.74/1.51 = (product @ (product @ X0 @ a7) @ a2))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl2])).
% 4.74/1.51 thf(knot_04, axiom, (( product @ a5 @ a6 ) = ( a7 ))).
% 4.74/1.51 thf(zip_derived_cl5, plain, (((product @ a5 @ a6) = (a7))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_04])).
% 4.74/1.51 thf(zip_derived_cl2, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ X2) @ X1)
% 4.74/1.51 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 4.74/1.51 thf(zip_derived_cl59, plain,
% 4.74/1.51 (![X0 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ a5) @ a6)
% 4.74/1.51 = (product @ (product @ X0 @ a6) @ a7))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 4.74/1.51 thf(zip_derived_cl1793, plain,
% 4.74/1.51 (![X0 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ a5) @ a6)
% 4.74/1.51 = (product @ (product @ X0 @ a7) @ a2))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl59])).
% 4.74/1.51 thf(zip_derived_cl1809, plain,
% 4.74/1.51 (((product @ (product @ a7 @ a5) @ a6) = (product @ a7 @ a2))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1793])).
% 4.74/1.51 thf(zip_derived_cl5, plain, (((product @ a5 @ a6) = (a7))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_04])).
% 4.74/1.51 thf(involutory_quandle_01, axiom,
% 4.74/1.51 (( product @ ( product @ X @ Y ) @ Y ) = ( X ))).
% 4.74/1.51 thf(zip_derived_cl1, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 4.74/1.51 thf(zip_derived_cl24, plain, (((product @ a7 @ a6) = (a5))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl59, plain,
% 4.74/1.51 (![X0 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ a5) @ a6)
% 4.74/1.51 = (product @ (product @ X0 @ a6) @ a7))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 4.74/1.51 thf(zip_derived_cl1627, plain,
% 4.74/1.51 (((product @ (product @ a7 @ a5) @ a6) = (product @ a5 @ a7))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl59])).
% 4.74/1.51 thf(knot_06, axiom, (( product @ a8 @ a2 ) = ( a9 ))).
% 4.74/1.51 thf(zip_derived_cl7, plain, (((product @ a8 @ a2) = (a9))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_06])).
% 4.74/1.51 thf(zip_derived_cl1, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 4.74/1.51 thf(zip_derived_cl26, plain, (((product @ a9 @ a2) = (a8))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 4.74/1.51 thf(knot, axiom, (( product @ a1 @ a2 ) = ( a3 ))).
% 4.74/1.51 thf(zip_derived_cl3, plain, (((product @ a1 @ a2) = (a3))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot])).
% 4.74/1.51 thf(zip_derived_cl2, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ X2) @ X1)
% 4.74/1.51 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 4.74/1.51 thf(zip_derived_cl53, plain,
% 4.74/1.51 (![X0 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ a1) @ a2)
% 4.74/1.51 = (product @ (product @ X0 @ a2) @ a3))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 4.74/1.51 thf(zip_derived_cl217, plain,
% 4.74/1.51 (((product @ (product @ a9 @ a1) @ a2) = (product @ a8 @ a3))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl53])).
% 4.74/1.51 thf(knot_07, axiom, (( product @ a9 @ a1 ) = ( a10 ))).
% 4.74/1.51 thf(zip_derived_cl8, plain, (((product @ a9 @ a1) = (a10))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_07])).
% 4.74/1.51 thf(zip_derived_cl6, plain, (((product @ a7 @ a3) = (a8))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_05])).
% 4.74/1.51 thf(zip_derived_cl1, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 4.74/1.51 thf(zip_derived_cl25, plain, (((product @ a8 @ a3) = (a7))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl219, plain, (((product @ a10 @ a2) = (a7))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl217, zip_derived_cl8, zip_derived_cl25])).
% 4.74/1.51 thf(zip_derived_cl1, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 4.74/1.51 thf(zip_derived_cl220, plain, (((product @ a7 @ a2) = (a10))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl219, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl1825, plain, (((product @ a5 @ a7) = (a10))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl1809, zip_derived_cl1627, zip_derived_cl220])).
% 4.74/1.51 thf(knot_15, axiom, (( product @ a4 @ a7 ) = ( a11 ))).
% 4.74/1.51 thf(zip_derived_cl16, plain, (((product @ a4 @ a7) = (a11))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_15])).
% 4.74/1.51 thf(zip_derived_cl2, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ X2) @ X1)
% 4.74/1.51 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 4.74/1.51 thf(zip_derived_cl57, plain,
% 4.74/1.51 (![X0 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ a4) @ a7)
% 4.74/1.51 = (product @ (product @ X0 @ a7) @ a11))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl2])).
% 4.74/1.51 thf(zip_derived_cl1845, plain,
% 4.74/1.51 (((product @ (product @ a5 @ a4) @ a7) = (product @ a10 @ a11))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl1825, zip_derived_cl57])).
% 4.74/1.51 thf(knot_03, axiom, (( product @ a3 @ a4 ) = ( a5 ))).
% 4.74/1.51 thf(zip_derived_cl4, plain, (((product @ a3 @ a4) = (a5))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_03])).
% 4.74/1.51 thf(zip_derived_cl1, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 4.74/1.51 thf(zip_derived_cl23, plain, (((product @ a5 @ a4) = (a3))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 4.74/1.51 thf(knot_08, axiom, (( product @ a10 @ a11 ) = ( a12 ))).
% 4.74/1.51 thf(zip_derived_cl9, plain, (((product @ a10 @ a11) = (a12))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_08])).
% 4.74/1.51 thf(zip_derived_cl1849, plain, (((product @ a3 @ a7) = (a12))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl1845, zip_derived_cl23, zip_derived_cl9])).
% 4.74/1.51 thf(zip_derived_cl1, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 4.74/1.51 thf(zip_derived_cl1892, plain, (((product @ a12 @ a7) = (a3))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl1849, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle])).
% 4.74/1.51 thf(knot_10, axiom, (( product @ a13 @ a8 ) = ( a6 ))).
% 4.74/1.51 thf(zip_derived_cl11, plain, (((product @ a13 @ a8) = (a6))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_10])).
% 4.74/1.51 thf(zip_derived_cl2069, plain, (((a3) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2063, zip_derived_cl1892, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl11])).
% 4.74/1.51 thf(zip_derived_cl2069, plain, (((a3) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2063, zip_derived_cl1892, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl11])).
% 4.74/1.51 thf(zip_derived_cl2078, plain,
% 4.74/1.51 (((tuple @ a1 @ a2 @ a6 @ a4 @ a5 @ a6 @ a7 @ a8 @ a9 @ a10 @ a11 @
% 4.74/1.51 a12 @ a13 @ a14)
% 4.74/1.51 != (tuple @ a2 @ a6 @ a4 @ a5 @ a6 @ a7 @ a8 @ a9 @ a10 @ a11 @ a12 @
% 4.74/1.51 a13 @ a14 @ a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl18, zip_derived_cl2069, zip_derived_cl2069])).
% 4.74/1.51 thf(zip_derived_cl1849, plain, (((product @ a3 @ a7) = (a12))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl1845, zip_derived_cl23, zip_derived_cl9])).
% 4.74/1.51 thf(zip_derived_cl2069, plain, (((a3) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2063, zip_derived_cl1892, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl11])).
% 4.74/1.51 thf(zip_derived_cl12, plain, (((product @ a6 @ a7) = (a2))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_11])).
% 4.74/1.51 thf(zip_derived_cl2107, plain, (((a2) = (a12))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl1849, zip_derived_cl2069, zip_derived_cl12])).
% 4.74/1.51 thf(knot_12, axiom, (( product @ a2 @ a12 ) = ( a14 ))).
% 4.74/1.51 thf(zip_derived_cl13, plain, (((product @ a2 @ a12) = (a14))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_12])).
% 4.74/1.51 thf(zip_derived_cl2107, plain, (((a2) = (a12))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl1849, zip_derived_cl2069, zip_derived_cl12])).
% 4.74/1.51 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle])).
% 4.74/1.51 thf(zip_derived_cl2124, plain, (((a12) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl13, zip_derived_cl2107, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2158, plain, (((a2) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2107, zip_derived_cl2124])).
% 4.74/1.51 thf(zip_derived_cl6, plain, (((product @ a7 @ a3) = (a8))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_05])).
% 4.74/1.51 thf(zip_derived_cl2069, plain, (((a3) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2063, zip_derived_cl1892, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl11])).
% 4.74/1.51 thf(zip_derived_cl24, plain, (((product @ a7 @ a6) = (a5))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl2075, plain, (((a5) = (a8))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl6, zip_derived_cl2069, zip_derived_cl24])).
% 4.74/1.51 thf(zip_derived_cl2124, plain, (((a12) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl13, zip_derived_cl2107, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2158, plain, (((a2) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2107, zip_derived_cl2124])).
% 4.74/1.51 thf(zip_derived_cl2075, plain, (((a5) = (a8))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl6, zip_derived_cl2069, zip_derived_cl24])).
% 4.74/1.51 thf(zip_derived_cl2124, plain, (((a12) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl13, zip_derived_cl2107, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2185, plain,
% 4.74/1.51 (((tuple @ a1 @ a14 @ a6 @ a4 @ a5 @ a6 @ a7 @ a5 @ a9 @ a10 @ a11 @
% 4.74/1.51 a14 @ a13 @ a14)
% 4.74/1.51 != (tuple @ a14 @ a6 @ a4 @ a5 @ a6 @ a7 @ a5 @ a9 @ a10 @ a11 @
% 4.74/1.51 a14 @ a13 @ a14 @ a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2078, zip_derived_cl2158, zip_derived_cl2075,
% 4.74/1.51 zip_derived_cl2124, zip_derived_cl2158, zip_derived_cl2075,
% 4.74/1.51 zip_derived_cl2124])).
% 4.74/1.51 thf(zip_derived_cl10, plain, (((product @ a12 @ a3) = (a13))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_09])).
% 4.74/1.51 thf(zip_derived_cl1, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 4.74/1.51 thf(zip_derived_cl29, plain, (((product @ a13 @ a3) = (a12))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl2069, plain, (((a3) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2063, zip_derived_cl1892, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl11])).
% 4.74/1.51 thf(zip_derived_cl2082, plain, (((product @ a13 @ a6) = (a12))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl2069])).
% 4.74/1.51 thf(zip_derived_cl2124, plain, (((a12) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl13, zip_derived_cl2107, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2250, plain, (((product @ a13 @ a6) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2082, zip_derived_cl2124])).
% 4.74/1.51 thf(zip_derived_cl1, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 4.74/1.51 thf(zip_derived_cl2251, plain, (((product @ a14 @ a6) = (a13))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl2250, zip_derived_cl1])).
% 4.74/1.51 thf(knot_13, axiom, (( product @ a14 @ a3 ) = ( a15 ))).
% 4.74/1.51 thf(zip_derived_cl14, plain, (((product @ a14 @ a3) = (a15))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_13])).
% 4.74/1.51 thf(zip_derived_cl2069, plain, (((a3) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2063, zip_derived_cl1892, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl11])).
% 4.74/1.51 thf(zip_derived_cl2077, plain, (((product @ a14 @ a6) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl2069])).
% 4.74/1.51 thf(zip_derived_cl2262, plain, (((a15) = (a13))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2251, zip_derived_cl2077])).
% 4.74/1.51 thf(zip_derived_cl2262, plain, (((a15) = (a13))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2251, zip_derived_cl2077])).
% 4.74/1.51 thf(zip_derived_cl2267, plain,
% 4.74/1.51 (((tuple @ a1 @ a14 @ a6 @ a4 @ a5 @ a6 @ a7 @ a5 @ a9 @ a10 @ a11 @
% 4.74/1.51 a14 @ a15 @ a14)
% 4.74/1.51 != (tuple @ a14 @ a6 @ a4 @ a5 @ a6 @ a7 @ a5 @ a9 @ a10 @ a11 @
% 4.74/1.51 a14 @ a15 @ a14 @ a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2185, zip_derived_cl2262, zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl11, plain, (((product @ a13 @ a8) = (a6))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_10])).
% 4.74/1.51 thf(zip_derived_cl2075, plain, (((a5) = (a8))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl6, zip_derived_cl2069, zip_derived_cl24])).
% 4.74/1.51 thf(zip_derived_cl2110, plain, (((product @ a13 @ a5) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl2075])).
% 4.74/1.51 thf(zip_derived_cl2262, plain, (((a15) = (a13))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2251, zip_derived_cl2077])).
% 4.74/1.51 thf(zip_derived_cl2349, plain, (((product @ a15 @ a5) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2110, zip_derived_cl2262])).
% 4.74/1.51 thf(knot_14, axiom, (( product @ a15 @ a8 ) = ( a4 ))).
% 4.74/1.51 thf(zip_derived_cl15, plain, (((product @ a15 @ a8) = (a4))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_14])).
% 4.74/1.51 thf(zip_derived_cl2075, plain, (((a5) = (a8))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl6, zip_derived_cl2069, zip_derived_cl24])).
% 4.74/1.51 thf(zip_derived_cl2111, plain, (((product @ a15 @ a5) = (a4))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl2075])).
% 4.74/1.51 thf(zip_derived_cl2362, plain, (((a4) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2349, zip_derived_cl2111])).
% 4.74/1.51 thf(zip_derived_cl2362, plain, (((a4) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2349, zip_derived_cl2111])).
% 4.74/1.51 thf(zip_derived_cl5, plain, (((product @ a5 @ a6) = (a7))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_04])).
% 4.74/1.51 thf(zip_derived_cl2362, plain, (((a4) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2349, zip_derived_cl2111])).
% 4.74/1.51 thf(zip_derived_cl23, plain, (((product @ a5 @ a4) = (a3))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl2069, plain, (((a3) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2063, zip_derived_cl1892, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl11])).
% 4.74/1.51 thf(zip_derived_cl2080, plain, (((product @ a5 @ a4) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl2069])).
% 4.74/1.51 thf(zip_derived_cl2362, plain, (((a4) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2349, zip_derived_cl2111])).
% 4.74/1.51 thf(zip_derived_cl2375, plain, (((a4) = (a7))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl5, zip_derived_cl2362, zip_derived_cl2080,
% 4.74/1.51 zip_derived_cl2362])).
% 4.74/1.51 thf(zip_derived_cl2362, plain, (((a4) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2349, zip_derived_cl2111])).
% 4.74/1.51 thf(zip_derived_cl2362, plain, (((a4) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2349, zip_derived_cl2111])).
% 4.74/1.51 thf(zip_derived_cl2375, plain, (((a4) = (a7))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl5, zip_derived_cl2362, zip_derived_cl2080,
% 4.74/1.51 zip_derived_cl2362])).
% 4.74/1.51 thf(zip_derived_cl2398, plain,
% 4.74/1.51 (((tuple @ a1 @ a14 @ a4 @ a4 @ a5 @ a4 @ a4 @ a5 @ a9 @ a10 @ a11 @
% 4.74/1.51 a14 @ a15 @ a14)
% 4.74/1.51 != (tuple @ a14 @ a4 @ a4 @ a5 @ a4 @ a4 @ a5 @ a9 @ a10 @ a11 @
% 4.74/1.51 a14 @ a15 @ a14 @ a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2267, zip_derived_cl2362, zip_derived_cl2362,
% 4.74/1.51 zip_derived_cl2375, zip_derived_cl2362, zip_derived_cl2362,
% 4.74/1.51 zip_derived_cl2375])).
% 4.74/1.51 thf(zip_derived_cl4, plain, (((product @ a3 @ a4) = (a5))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_03])).
% 4.74/1.51 thf(zip_derived_cl2069, plain, (((a3) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2063, zip_derived_cl1892, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl11])).
% 4.74/1.51 thf(zip_derived_cl2074, plain, (((product @ a6 @ a4) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl2069])).
% 4.74/1.51 thf(zip_derived_cl2362, plain, (((a4) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2349, zip_derived_cl2111])).
% 4.74/1.51 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle])).
% 4.74/1.51 thf(zip_derived_cl2382, plain, (((a4) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2074, zip_derived_cl2362, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2382, plain, (((a4) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2074, zip_derived_cl2362, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2382, plain, (((a4) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2074, zip_derived_cl2362, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2382, plain, (((a4) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2074, zip_derived_cl2362, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2382, plain, (((a4) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2074, zip_derived_cl2362, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2382, plain, (((a4) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2074, zip_derived_cl2362, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2382, plain, (((a4) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2074, zip_derived_cl2362, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2382, plain, (((a4) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2074, zip_derived_cl2362, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2405, plain,
% 4.74/1.51 (((tuple @ a1 @ a14 @ a5 @ a5 @ a5 @ a5 @ a5 @ a5 @ a9 @ a10 @ a11 @
% 4.74/1.51 a14 @ a15 @ a14)
% 4.74/1.51 != (tuple @ a14 @ a5 @ a5 @ a5 @ a5 @ a5 @ a5 @ a9 @ a10 @ a11 @
% 4.74/1.51 a14 @ a15 @ a14 @ a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2398, zip_derived_cl2382, zip_derived_cl2382,
% 4.74/1.51 zip_derived_cl2382, zip_derived_cl2382, zip_derived_cl2382,
% 4.74/1.51 zip_derived_cl2382, zip_derived_cl2382, zip_derived_cl2382])).
% 4.74/1.51 thf(zip_derived_cl16, plain, (((product @ a4 @ a7) = (a11))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_15])).
% 4.74/1.51 thf(zip_derived_cl2375, plain, (((a4) = (a7))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl5, zip_derived_cl2362, zip_derived_cl2080,
% 4.74/1.51 zip_derived_cl2362])).
% 4.74/1.51 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle])).
% 4.74/1.51 thf(zip_derived_cl2389, plain, (((a4) = (a11))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl16, zip_derived_cl2375, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2382, plain, (((a4) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2074, zip_derived_cl2362, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2406, plain, (((a5) = (a11))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2389, zip_derived_cl2382])).
% 4.74/1.51 thf(zip_derived_cl2406, plain, (((a5) = (a11))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2389, zip_derived_cl2382])).
% 4.74/1.51 thf(zip_derived_cl2409, plain,
% 4.74/1.51 (((tuple @ a1 @ a14 @ a5 @ a5 @ a5 @ a5 @ a5 @ a5 @ a9 @ a10 @ a5 @
% 4.74/1.51 a14 @ a15 @ a14)
% 4.74/1.51 != (tuple @ a14 @ a5 @ a5 @ a5 @ a5 @ a5 @ a5 @ a9 @ a10 @ a5 @ a14 @
% 4.74/1.51 a15 @ a14 @ a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2405, zip_derived_cl2406, zip_derived_cl2406])).
% 4.74/1.51 thf(zip_derived_cl14, plain, (((product @ a14 @ a3) = (a15))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_13])).
% 4.74/1.51 thf(zip_derived_cl4, plain, (((product @ a3 @ a4) = (a5))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_03])).
% 4.74/1.51 thf(zip_derived_cl2, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ X2) @ X1)
% 4.74/1.51 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 4.74/1.51 thf(zip_derived_cl56, plain,
% 4.74/1.51 (![X0 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ a3) @ a4)
% 4.74/1.51 = (product @ (product @ X0 @ a4) @ a5))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 4.74/1.51 thf(zip_derived_cl1002, plain,
% 4.74/1.51 (((product @ a15 @ a4) = (product @ (product @ a14 @ a4) @ a5))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl56])).
% 4.74/1.51 thf(zip_derived_cl2382, plain, (((a4) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2074, zip_derived_cl2362, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2111, plain, (((product @ a15 @ a5) = (a4))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl2075])).
% 4.74/1.51 thf(zip_derived_cl2382, plain, (((a4) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2074, zip_derived_cl2362, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2382, plain, (((a4) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2074, zip_derived_cl2362, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl1, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 4.74/1.51 thf(zip_derived_cl2399, plain, (((a5) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl1002, zip_derived_cl2382, zip_derived_cl2111,
% 4.74/1.51 zip_derived_cl2382, zip_derived_cl2382, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl2399, plain, (((a5) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl1002, zip_derived_cl2382, zip_derived_cl2111,
% 4.74/1.51 zip_derived_cl2382, zip_derived_cl2382, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl2399, plain, (((a5) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl1002, zip_derived_cl2382, zip_derived_cl2111,
% 4.74/1.51 zip_derived_cl2382, zip_derived_cl2382, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl2399, plain, (((a5) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl1002, zip_derived_cl2382, zip_derived_cl2111,
% 4.74/1.51 zip_derived_cl2382, zip_derived_cl2382, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl2399, plain, (((a5) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl1002, zip_derived_cl2382, zip_derived_cl2111,
% 4.74/1.51 zip_derived_cl2382, zip_derived_cl2382, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl2399, plain, (((a5) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl1002, zip_derived_cl2382, zip_derived_cl2111,
% 4.74/1.51 zip_derived_cl2382, zip_derived_cl2382, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl2413, plain,
% 4.74/1.51 (((tuple @ a1 @ a5 @ a5 @ a5 @ a5 @ a5 @ a5 @ a5 @ a9 @ a10 @ a5 @ a5 @
% 4.74/1.51 a15 @ a5)
% 4.74/1.51 != (tuple @ a5 @ a5 @ a5 @ a5 @ a5 @ a5 @ a5 @ a9 @ a10 @ a5 @ a5 @
% 4.74/1.51 a15 @ a5 @ a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2409, zip_derived_cl2399, zip_derived_cl2399,
% 4.74/1.51 zip_derived_cl2399, zip_derived_cl2399, zip_derived_cl2399,
% 4.74/1.51 zip_derived_cl2399])).
% 4.74/1.51 thf(zip_derived_cl11, plain, (((product @ a13 @ a8) = (a6))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_10])).
% 4.74/1.51 thf(zip_derived_cl1, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 4.74/1.51 thf(zip_derived_cl30, plain, (((product @ a6 @ a8) = (a13))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl2075, plain, (((a5) = (a8))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl6, zip_derived_cl2069, zip_derived_cl24])).
% 4.74/1.51 thf(zip_derived_cl2113, plain, (((product @ a6 @ a5) = (a13))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl2075])).
% 4.74/1.51 thf(zip_derived_cl2362, plain, (((a4) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2349, zip_derived_cl2111])).
% 4.74/1.51 thf(zip_derived_cl2382, plain, (((a4) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2074, zip_derived_cl2362, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2402, plain, (((a5) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2362, zip_derived_cl2382])).
% 4.74/1.51 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle])).
% 4.74/1.51 thf(zip_derived_cl2262, plain, (((a15) = (a13))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2251, zip_derived_cl2077])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2450, plain,
% 4.74/1.51 (((tuple @ a1 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a9 @ a10 @
% 4.74/1.51 a15 @ a15 @ a15 @ a15)
% 4.74/1.51 != (tuple @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a9 @ a10 @
% 4.74/1.51 a15 @ a15 @ a15 @ a15 @ a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2413, zip_derived_cl2439, zip_derived_cl2439,
% 4.74/1.51 zip_derived_cl2439, zip_derived_cl2439, zip_derived_cl2439,
% 4.74/1.51 zip_derived_cl2439, zip_derived_cl2439, zip_derived_cl2439,
% 4.74/1.51 zip_derived_cl2439, zip_derived_cl2439, zip_derived_cl2439,
% 4.74/1.51 zip_derived_cl2439, zip_derived_cl2439, zip_derived_cl2439,
% 4.74/1.51 zip_derived_cl2439, zip_derived_cl2439, zip_derived_cl2439,
% 4.74/1.51 zip_derived_cl2439, zip_derived_cl2439, zip_derived_cl2439])).
% 4.74/1.51 thf(zip_derived_cl7, plain, (((product @ a8 @ a2) = (a9))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_06])).
% 4.74/1.51 thf(zip_derived_cl2075, plain, (((a5) = (a8))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl6, zip_derived_cl2069, zip_derived_cl24])).
% 4.74/1.51 thf(zip_derived_cl2109, plain, (((product @ a5 @ a2) = (a9))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2075])).
% 4.74/1.51 thf(zip_derived_cl2158, plain, (((a2) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2107, zip_derived_cl2124])).
% 4.74/1.51 thf(zip_derived_cl2336, plain, (((product @ a5 @ a14) = (a9))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2109, zip_derived_cl2158])).
% 4.74/1.51 thf(zip_derived_cl2399, plain, (((a5) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl1002, zip_derived_cl2382, zip_derived_cl2111,
% 4.74/1.51 zip_derived_cl2382, zip_derived_cl2382, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle])).
% 4.74/1.51 thf(zip_derived_cl2412, plain, (((a5) = (a9))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2336, zip_derived_cl2399, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2449, plain, (((a15) = (a9))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2412, zip_derived_cl2439])).
% 4.74/1.51 thf(zip_derived_cl2449, plain, (((a15) = (a9))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2412, zip_derived_cl2439])).
% 4.74/1.51 thf(zip_derived_cl2451, plain,
% 4.74/1.51 (((tuple @ a1 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a10 @
% 4.74/1.51 a15 @ a15 @ a15 @ a15)
% 4.74/1.51 != (tuple @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a10 @
% 4.74/1.51 a15 @ a15 @ a15 @ a15 @ a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2450, zip_derived_cl2449, zip_derived_cl2449])).
% 4.74/1.51 thf(zip_derived_cl219, plain, (((product @ a10 @ a2) = (a7))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl217, zip_derived_cl8, zip_derived_cl25])).
% 4.74/1.51 thf(zip_derived_cl2107, plain, (((a2) = (a12))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl1849, zip_derived_cl2069, zip_derived_cl12])).
% 4.74/1.51 thf(zip_derived_cl2128, plain, (((product @ a10 @ a12) = (a7))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl219, zip_derived_cl2107])).
% 4.74/1.51 thf(zip_derived_cl2124, plain, (((a12) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl13, zip_derived_cl2107, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2399, plain, (((a5) = (a14))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl1002, zip_derived_cl2382, zip_derived_cl2111,
% 4.74/1.51 zip_derived_cl2382, zip_derived_cl2382, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl2410, plain, (((a12) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2124, zip_derived_cl2399])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2447, plain, (((a12) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2410, zip_derived_cl2439])).
% 4.74/1.51 thf(zip_derived_cl2375, plain, (((a4) = (a7))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl5, zip_derived_cl2362, zip_derived_cl2080,
% 4.74/1.51 zip_derived_cl2362])).
% 4.74/1.51 thf(zip_derived_cl2382, plain, (((a4) = (a5))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2074, zip_derived_cl2362, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2403, plain, (((a5) = (a7))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2375, zip_derived_cl2382])).
% 4.74/1.51 thf(zip_derived_cl2439, plain, (((a5) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2113, zip_derived_cl2402, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2444, plain, (((a15) = (a7))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2403, zip_derived_cl2439])).
% 4.74/1.51 thf(zip_derived_cl2501, plain, (((product @ a10 @ a15) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2128, zip_derived_cl2447, zip_derived_cl2444])).
% 4.74/1.51 thf(zip_derived_cl1, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 4.74/1.51 thf(zip_derived_cl2502, plain, (((product @ a15 @ a15) = (a10))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl2501, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle])).
% 4.74/1.51 thf(zip_derived_cl2513, plain, (((a15) = (a10))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl2502, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2513, plain, (((a15) = (a10))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl2502, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2523, plain,
% 4.74/1.51 (((tuple @ a1 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @
% 4.74/1.51 a15 @ a15 @ a15 @ a15)
% 4.74/1.51 != (tuple @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @
% 4.74/1.51 a15 @ a15 @ a15 @ a15 @ a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2451, zip_derived_cl2513, zip_derived_cl2513])).
% 4.74/1.51 thf(zip_derived_cl10, plain, (((product @ a12 @ a3) = (a13))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot_09])).
% 4.74/1.51 thf(zip_derived_cl2069, plain, (((a3) = (a6))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2063, zip_derived_cl1892, zip_derived_cl0,
% 4.74/1.51 zip_derived_cl11])).
% 4.74/1.51 thf(zip_derived_cl1892, plain, (((product @ a12 @ a7) = (a3))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl1849, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl1793, plain,
% 4.74/1.51 (![X0 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ a5) @ a6)
% 4.74/1.51 = (product @ (product @ X0 @ a7) @ a2))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl59])).
% 4.74/1.51 thf(zip_derived_cl1918, plain,
% 4.74/1.51 (((product @ (product @ a12 @ a5) @ a6) = (product @ a3 @ a2))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl1892, zip_derived_cl1793])).
% 4.74/1.51 thf(zip_derived_cl3, plain, (((product @ a1 @ a2) = (a3))),
% 4.74/1.51 inference('cnf', [status(esa)], [knot])).
% 4.74/1.51 thf(zip_derived_cl1, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 4.74/1.51 thf(zip_derived_cl22, plain, (((product @ a3 @ a2) = (a1))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl1921, plain,
% 4.74/1.51 (((product @ (product @ a12 @ a5) @ a6) = (a1))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl1918, zip_derived_cl22])).
% 4.74/1.51 thf(zip_derived_cl59, plain,
% 4.74/1.51 (![X0 : $i]:
% 4.74/1.51 ((product @ (product @ X0 @ a5) @ a6)
% 4.74/1.51 = (product @ (product @ X0 @ a6) @ a7))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 4.74/1.51 thf(zip_derived_cl1967, plain,
% 4.74/1.51 (((product @ (product @ (product @ a12 @ a5) @ a5) @ a6)
% 4.74/1.51 = (product @ a1 @ a7))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl1921, zip_derived_cl59])).
% 4.74/1.51 thf(zip_derived_cl1, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 4.74/1.51 thf(zip_derived_cl1975, plain,
% 4.74/1.51 (((product @ a12 @ a6) = (product @ a1 @ a7))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl1967, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl2076, plain, (((product @ a1 @ a7) = (a13))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl10, zip_derived_cl2069, zip_derived_cl1975])).
% 4.74/1.51 thf(zip_derived_cl2262, plain, (((a15) = (a13))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2251, zip_derived_cl2077])).
% 4.74/1.51 thf(zip_derived_cl2265, plain, (((product @ a1 @ a7) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2076, zip_derived_cl2262])).
% 4.74/1.51 thf(zip_derived_cl2444, plain, (((a15) = (a7))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2403, zip_derived_cl2439])).
% 4.74/1.51 thf(zip_derived_cl2531, plain, (((product @ a1 @ a15) = (a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2265, zip_derived_cl2444])).
% 4.74/1.51 thf(zip_derived_cl1, plain,
% 4.74/1.51 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 4.74/1.51 thf(zip_derived_cl2532, plain, (((product @ a15 @ a15) = (a1))),
% 4.74/1.51 inference('sup+', [status(thm)], [zip_derived_cl2531, zip_derived_cl1])).
% 4.74/1.51 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 4.74/1.51 inference('cnf', [status(esa)], [involutory_quandle])).
% 4.74/1.51 thf(zip_derived_cl2543, plain, (((a15) = (a1))),
% 4.74/1.51 inference('demod', [status(thm)], [zip_derived_cl2532, zip_derived_cl0])).
% 4.74/1.51 thf(zip_derived_cl2550, plain,
% 4.74/1.51 (((tuple @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @
% 4.74/1.51 a15 @ a15 @ a15 @ a15)
% 4.74/1.51 != (tuple @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @ a15 @
% 4.74/1.51 a15 @ a15 @ a15 @ a15 @ a15))),
% 4.74/1.51 inference('demod', [status(thm)],
% 4.74/1.51 [zip_derived_cl2523, zip_derived_cl2543])).
% 4.74/1.51 thf(zip_derived_cl2551, plain, ($false),
% 4.74/1.51 inference('simplify', [status(thm)], [zip_derived_cl2550])).
% 4.74/1.51
% 4.74/1.51 % SZS output end Refutation
% 4.74/1.51
% 4.74/1.51
% 4.74/1.51 % Terminating...
% 5.26/1.71 % Runner terminated.
% 5.26/1.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------