TSTP Solution File: TOP050-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : TOP050-1 : 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.AjGAaFKC76 true
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 06:04:00 EDT 2023
% Result : Unsatisfiable 25.65s 4.37s
% Output : Refutation 25.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : TOP050-1 : TPTP v8.1.2. Released v8.1.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AjGAaFKC76 true
% 0.14/0.37 % Computer : n011.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sat Aug 26 22:59:09 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.24/0.66 % Total configuration time : 435
% 0.24/0.66 % Estimated wc time : 1092
% 0.24/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.81/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.96/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.96/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.96/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.96/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.96/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.92 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 25.65/4.37 % Solved by fo/fo13.sh.
% 25.65/4.37 % done 1218 iterations in 3.527s
% 25.65/4.37 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 25.65/4.37 % SZS output start Refutation
% 25.65/4.37 thf(a25_type, type, a25: $i).
% 25.65/4.37 thf(a4_type, type, a4: $i).
% 25.65/4.37 thf(a14_type, type, a14: $i).
% 25.65/4.37 thf(a20_type, type, a20: $i).
% 25.65/4.37 thf(a19_type, type, a19: $i).
% 25.65/4.37 thf(a17_type, type, a17: $i).
% 25.65/4.37 thf(a32_type, type, a32: $i).
% 25.65/4.37 thf(a5_type, type, a5: $i).
% 25.65/4.37 thf(a2_type, type, a2: $i).
% 25.65/4.37 thf(a16_type, type, a16: $i).
% 25.65/4.37 thf(a31_type, type, a31: $i).
% 25.65/4.37 thf(a12_type, type, a12: $i).
% 25.65/4.37 thf(a13_type, type, a13: $i).
% 25.65/4.37 thf(a22_type, type, a22: $i).
% 25.65/4.37 thf(a30_type, type, a30: $i).
% 25.65/4.37 thf(a23_type, type, a23: $i).
% 25.65/4.37 thf(a9_type, type, a9: $i).
% 25.65/4.37 thf(product_type, type, product: $i > $i > $i).
% 25.65/4.37 thf(a10_type, type, a10: $i).
% 25.65/4.37 thf(a24_type, type, a24: $i).
% 25.65/4.37 thf(a8_type, type, a8: $i).
% 25.65/4.37 thf(a21_type, type, a21: $i).
% 25.65/4.37 thf(a27_type, type, a27: $i).
% 25.65/4.37 thf(tuple_type, type, tuple: $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 25.65/4.37 $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 25.65/4.37 $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 25.65/4.37 $i > $i > $i > $i > $i).
% 25.65/4.37 thf(a18_type, type, a18: $i).
% 25.65/4.37 thf(a6_type, type, a6: $i).
% 25.65/4.37 thf(a26_type, type, a26: $i).
% 25.65/4.37 thf(a29_type, type, a29: $i).
% 25.65/4.37 thf(a28_type, type, a28: $i).
% 25.65/4.37 thf(a3_type, type, a3: $i).
% 25.65/4.37 thf(a1_type, type, a1: $i).
% 25.65/4.37 thf(a15_type, type, a15: $i).
% 25.65/4.37 thf(a7_type, type, a7: $i).
% 25.65/4.37 thf(a11_type, type, a11: $i).
% 25.65/4.37 thf(goal, conjecture,
% 25.65/4.37 (( tuple @
% 25.65/4.37 a1 @ a30 @ a31 @ a2 @ a24 @ a25 @ a3 @ a28 @ a29 @ a4 @ a10 @ a11 @
% 25.65/4.37 a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @ a12 @
% 25.65/4.37 a13 @ a20 @ a21 @ a22 @ a23 @ a26 @ a27 ) =
% 25.65/4.37 ( tuple @
% 25.65/4.37 a2 @ a31 @ a32 @ a3 @ a25 @ a26 @ a4 @ a29 @ a30 @ a5 @ a11 @ a12 @
% 25.65/4.37 a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @ a17 @ a18 @ a13 @
% 25.65/4.37 a14 @ a21 @ a22 @ a23 @ a24 @ a27 @ a28 ))).
% 25.65/4.37 thf(zf_stmt_0, negated_conjecture,
% 25.65/4.37 (( tuple @
% 25.65/4.37 a1 @ a30 @ a31 @ a2 @ a24 @ a25 @ a3 @ a28 @ a29 @ a4 @ a10 @ a11 @
% 25.65/4.37 a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @ a12 @
% 25.65/4.37 a13 @ a20 @ a21 @ a22 @ a23 @ a26 @ a27 ) !=
% 25.65/4.37 ( tuple @
% 25.65/4.37 a2 @ a31 @ a32 @ a3 @ a25 @ a26 @ a4 @ a29 @ a30 @ a5 @ a11 @ a12 @
% 25.65/4.37 a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @ a17 @ a18 @ a13 @
% 25.65/4.37 a14 @ a21 @ a22 @ a23 @ a24 @ a27 @ a28 )),
% 25.65/4.37 inference('cnf.neg', [status(esa)], [goal])).
% 25.65/4.37 thf(zip_derived_cl34, plain,
% 25.65/4.37 (((tuple @ a1 @ a30 @ a31 @ a2 @ a24 @ a25 @ a3 @ a28 @ a29 @ a4 @ a10 @
% 25.65/4.37 a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @
% 25.65/4.37 a12 @ a13 @ a20 @ a21 @ a22 @ a23 @ a26 @ a27)
% 25.65/4.37 != (tuple @ a2 @ a31 @ a32 @ a3 @ a25 @ a26 @ a4 @ a29 @ a30 @ a5 @
% 25.65/4.37 a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @
% 25.65/4.37 a17 @ a18 @ a13 @ a14 @ a21 @ a22 @ a23 @ a24 @ a27 @ a28))),
% 25.65/4.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 25.65/4.37 thf(knot_26, axiom, (( product @ a26 @ a1 ) = ( a27 ))).
% 25.65/4.37 thf(zip_derived_cl27, plain, (((product @ a26 @ a1) = (a27))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_26])).
% 25.65/4.37 thf(involutory_quandle_01, axiom,
% 25.65/4.37 (( product @ ( product @ X @ Y ) @ Y ) = ( X ))).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl122, plain, (((product @ a27 @ a1) = (a26))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 25.65/4.37 thf(knot_27, axiom, (( product @ a27 @ a21 ) = ( a28 ))).
% 25.65/4.37 thf(zip_derived_cl28, plain, (((product @ a27 @ a21) = (a28))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_27])).
% 25.65/4.37 thf(involutory_quandle_02, axiom,
% 25.65/4.37 (( product @ ( product @ X @ Y ) @ Z ) =
% 25.65/4.37 ( product @ ( product @ X @ Z ) @ ( product @ Y @ Z ) ))).
% 25.65/4.37 thf(zip_derived_cl2, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X2) @ X1)
% 25.65/4.37 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 25.65/4.37 thf(zip_derived_cl126, plain,
% 25.65/4.37 (![X0 : $i]:
% 25.65/4.37 ((product @ (product @ a27 @ X0) @ a21)
% 25.65/4.37 = (product @ a28 @ (product @ X0 @ a21)))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl2])).
% 25.65/4.37 thf(zip_derived_cl10462, plain,
% 25.65/4.37 (((product @ a26 @ a21) = (product @ a28 @ (product @ a1 @ a21)))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl126])).
% 25.65/4.37 thf(knot_32, axiom, (( product @ a32 @ a21 ) = ( a1 ))).
% 25.65/4.37 thf(zip_derived_cl33, plain, (((product @ a32 @ a21) = (a1))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_32])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl140, plain, (((product @ a1 @ a21) = (a32))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl10467, plain,
% 25.65/4.37 (((product @ a26 @ a21) = (product @ a28 @ a32))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl10462, zip_derived_cl140])).
% 25.65/4.37 thf(knot_28, axiom, (( product @ a28 @ a3 ) = ( a29 ))).
% 25.65/4.37 thf(zip_derived_cl29, plain, (((product @ a28 @ a3) = (a29))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_28])).
% 25.65/4.37 thf(zip_derived_cl2, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X2) @ X1)
% 25.65/4.37 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 25.65/4.37 thf(zip_derived_cl129, plain,
% 25.65/4.37 (![X0 : $i]:
% 25.65/4.37 ((product @ (product @ a28 @ X0) @ a3)
% 25.65/4.37 = (product @ a29 @ (product @ X0 @ a3)))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl2])).
% 25.65/4.37 thf(zip_derived_cl10708, plain,
% 25.65/4.37 (((product @ (product @ a26 @ a21) @ a3)
% 25.65/4.37 = (product @ a29 @ (product @ a32 @ a3)))),
% 25.65/4.37 inference('s_sup+', [status(thm)],
% 25.65/4.37 [zip_derived_cl10467, zip_derived_cl129])).
% 25.65/4.37 thf(knot_31, axiom, (( product @ a31 @ a3 ) = ( a32 ))).
% 25.65/4.37 thf(zip_derived_cl32, plain, (((product @ a31 @ a3) = (a32))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_31])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl137, plain, (((product @ a32 @ a3) = (a31))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl10714, plain,
% 25.65/4.37 (((product @ (product @ a26 @ a21) @ a3) = (product @ a29 @ a31))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl10708, zip_derived_cl137])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl10743, plain,
% 25.65/4.37 (((product @ (product @ a29 @ a31) @ a3) = (product @ a26 @ a21))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl10714, zip_derived_cl1])).
% 25.65/4.37 thf(knot_24, axiom, (( product @ a24 @ a3 ) = ( a25 ))).
% 25.65/4.37 thf(zip_derived_cl25, plain, (((product @ a24 @ a3) = (a25))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_24])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl60, plain, (((product @ a25 @ a3) = (a24))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl2, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X2) @ X1)
% 25.65/4.37 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 25.65/4.37 thf(zip_derived_cl211, plain,
% 25.65/4.37 (![X0 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ a25) @ a3)
% 25.65/4.37 = (product @ (product @ X0 @ a3) @ a24))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl2])).
% 25.65/4.37 thf(knot_03, axiom, (( product @ a2 @ a25 ) = ( a3 ))).
% 25.65/4.37 thf(zip_derived_cl4, plain, (((product @ a2 @ a25) = (a3))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_03])).
% 25.65/4.37 thf(zip_derived_cl2, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X2) @ X1)
% 25.65/4.37 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 25.65/4.37 thf(zip_derived_cl69, plain,
% 25.65/4.37 (![X0 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ a2) @ a25)
% 25.65/4.37 = (product @ (product @ X0 @ a25) @ a3))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 25.65/4.37 thf(zip_derived_cl17230, plain,
% 25.65/4.37 (![X0 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ a2) @ a25)
% 25.65/4.37 = (product @ (product @ X0 @ a3) @ a24))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl211, zip_derived_cl69])).
% 25.65/4.37 thf(zip_derived_cl17273, plain,
% 25.65/4.37 (((product @ (product @ (product @ a29 @ a31) @ a2) @ a25)
% 25.65/4.37 = (product @ (product @ a26 @ a21) @ a24))),
% 25.65/4.37 inference('s_sup+', [status(thm)],
% 25.65/4.37 [zip_derived_cl10743, zip_derived_cl17230])).
% 25.65/4.37 thf(knot_30, axiom, (( product @ a30 @ a23 ) = ( a31 ))).
% 25.65/4.37 thf(zip_derived_cl31, plain, (((product @ a30 @ a23) = (a31))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_30])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl134, plain, (((product @ a31 @ a23) = (a30))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 25.65/4.37 thf(involutory_quandle, axiom, (( product @ X @ X ) = ( X ))).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl2, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X2) @ X1)
% 25.65/4.37 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 25.65/4.37 thf(zip_derived_cl91, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X1) @ X0)
% 25.65/4.37 = (product @ X0 @ (product @ X1 @ X0)))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 25.65/4.37 thf(zip_derived_cl893, plain,
% 25.65/4.37 (((product @ a30 @ a31) = (product @ a31 @ (product @ a23 @ a31)))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl134, zip_derived_cl91])).
% 25.65/4.37 thf(knot_22, axiom, (( product @ a22 @ a31 ) = ( a23 ))).
% 25.65/4.37 thf(zip_derived_cl23, plain, (((product @ a22 @ a31) = (a23))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_22])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl58, plain, (((product @ a23 @ a31) = (a22))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl959, plain,
% 25.65/4.37 (((product @ a30 @ a31) = (product @ a31 @ a22))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl893, zip_derived_cl58])).
% 25.65/4.37 thf(knot, axiom, (( product @ a1 @ a31 ) = ( a2 ))).
% 25.65/4.37 thf(zip_derived_cl3, plain, (((product @ a1 @ a31) = (a2))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot])).
% 25.65/4.37 thf(zip_derived_cl2, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X2) @ X1)
% 25.65/4.37 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 25.65/4.37 thf(zip_derived_cl68, plain,
% 25.65/4.37 (![X0 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ a1) @ a31)
% 25.65/4.37 = (product @ (product @ X0 @ a31) @ a2))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 25.65/4.37 thf(zip_derived_cl990, plain,
% 25.65/4.37 (((product @ (product @ a30 @ a1) @ a31)
% 25.65/4.37 = (product @ (product @ a31 @ a22) @ a2))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl959, zip_derived_cl68])).
% 25.65/4.37 thf(knot_29, axiom, (( product @ a29 @ a1 ) = ( a30 ))).
% 25.65/4.37 thf(zip_derived_cl30, plain, (((product @ a29 @ a1) = (a30))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_29])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl131, plain, (((product @ a30 @ a1) = (a29))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl991, plain,
% 25.65/4.37 (((product @ a29 @ a31) = (product @ (product @ a31 @ a22) @ a2))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl990, zip_derived_cl131])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl2893, plain,
% 25.65/4.37 (((product @ (product @ a29 @ a31) @ a2) = (product @ a31 @ a22))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl991, zip_derived_cl1])).
% 25.65/4.37 thf(knot_21, axiom, (( product @ a21 @ a25 ) = ( a22 ))).
% 25.65/4.37 thf(zip_derived_cl22, plain, (((product @ a21 @ a25) = (a22))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_21])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl57, plain, (((product @ a22 @ a25) = (a21))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl2, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X2) @ X1)
% 25.65/4.37 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 25.65/4.37 thf(zip_derived_cl202, plain,
% 25.65/4.37 (![X0 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ a22) @ a25)
% 25.65/4.37 = (product @ (product @ X0 @ a25) @ a21))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl2])).
% 25.65/4.37 thf(knot_25, axiom, (( product @ a25 @ a23 ) = ( a26 ))).
% 25.65/4.37 thf(zip_derived_cl26, plain, (((product @ a25 @ a23) = (a26))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_25])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl119, plain, (((product @ a26 @ a23) = (a25))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 25.65/4.37 thf(knot_23, axiom, (( product @ a23 @ a21 ) = ( a24 ))).
% 25.65/4.37 thf(zip_derived_cl24, plain, (((product @ a23 @ a21) = (a24))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_23])).
% 25.65/4.37 thf(zip_derived_cl2, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X2) @ X1)
% 25.65/4.37 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 25.65/4.37 thf(zip_derived_cl89, plain,
% 25.65/4.37 (![X0 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ a23) @ a21)
% 25.65/4.37 = (product @ (product @ X0 @ a21) @ a24))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl2])).
% 25.65/4.37 thf(zip_derived_cl4921, plain,
% 25.65/4.37 (((product @ a25 @ a21) = (product @ (product @ a26 @ a21) @ a24))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl89])).
% 25.65/4.37 thf(zip_derived_cl17309, plain,
% 25.65/4.37 (((product @ (product @ a31 @ a25) @ a21) = (product @ a25 @ a21))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17273, zip_derived_cl2893, zip_derived_cl202,
% 25.65/4.37 zip_derived_cl4921])).
% 25.65/4.37 thf(zip_derived_cl91, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X1) @ X0)
% 25.65/4.37 = (product @ X0 @ (product @ X1 @ X0)))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl855, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ (product @ X1 @ X0)) @ X0)
% 25.65/4.37 = (product @ X0 @ X1))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl17418, plain,
% 25.65/4.37 (((product @ (product @ a21 @ (product @ a25 @ a21)) @ a21)
% 25.65/4.37 = (product @ a21 @ (product @ a31 @ a25)))),
% 25.65/4.37 inference('s_sup+', [status(thm)],
% 25.65/4.37 [zip_derived_cl17309, zip_derived_cl855])).
% 25.65/4.37 thf(zip_derived_cl22, plain, (((product @ a21 @ a25) = (a22))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_21])).
% 25.65/4.37 thf(zip_derived_cl91, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X1) @ X0)
% 25.65/4.37 = (product @ X0 @ (product @ X1 @ X0)))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 25.65/4.37 thf(zip_derived_cl934, plain,
% 25.65/4.37 (((product @ a22 @ a21) = (product @ a21 @ (product @ a25 @ a21)))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl91])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl23, plain, (((product @ a22 @ a31) = (a23))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_22])).
% 25.65/4.37 thf(zip_derived_cl57, plain, (((product @ a22 @ a25) = (a21))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl2, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X2) @ X1)
% 25.65/4.37 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 25.65/4.37 thf(zip_derived_cl201, plain,
% 25.65/4.37 (![X0 : $i]:
% 25.65/4.37 ((product @ (product @ a22 @ X0) @ a25)
% 25.65/4.37 = (product @ a21 @ (product @ X0 @ a25)))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl2])).
% 25.65/4.37 thf(zip_derived_cl16674, plain,
% 25.65/4.37 (((product @ a23 @ a25) = (product @ a21 @ (product @ a31 @ a25)))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl201])).
% 25.65/4.37 thf(zip_derived_cl17434, plain, (((a22) = (product @ a23 @ a25))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17418, zip_derived_cl934, zip_derived_cl1,
% 25.65/4.37 zip_derived_cl16674])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl17475, plain, (((product @ a22 @ a25) = (a23))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl17434, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl57, plain, (((product @ a22 @ a25) = (a21))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl17491, plain, (((a21) = (a23))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl17475, zip_derived_cl57])).
% 25.65/4.37 thf(zip_derived_cl17491, plain, (((a21) = (a23))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl17475, zip_derived_cl57])).
% 25.65/4.37 thf(zip_derived_cl17501, plain,
% 25.65/4.37 (((tuple @ a1 @ a30 @ a31 @ a2 @ a24 @ a25 @ a3 @ a28 @ a29 @ a4 @ a10 @
% 25.65/4.37 a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @
% 25.65/4.37 a12 @ a13 @ a20 @ a21 @ a22 @ a21 @ a26 @ a27)
% 25.65/4.37 != (tuple @ a2 @ a31 @ a32 @ a3 @ a25 @ a26 @ a4 @ a29 @ a30 @ a5 @
% 25.65/4.37 a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @
% 25.65/4.37 a17 @ a18 @ a13 @ a14 @ a21 @ a22 @ a21 @ a24 @ a27 @ a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl34, zip_derived_cl17491, zip_derived_cl17491])).
% 25.65/4.37 thf(zip_derived_cl24, plain, (((product @ a23 @ a21) = (a24))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_23])).
% 25.65/4.37 thf(zip_derived_cl17491, plain, (((a21) = (a23))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl17475, zip_derived_cl57])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl17498, plain, (((a21) = (a24))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl24, zip_derived_cl17491, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl17498, plain, (((a21) = (a24))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl24, zip_derived_cl17491, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl17607, plain,
% 25.65/4.37 (((tuple @ a1 @ a30 @ a31 @ a2 @ a21 @ a25 @ a3 @ a28 @ a29 @ a4 @ a10 @
% 25.65/4.37 a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @
% 25.65/4.37 a12 @ a13 @ a20 @ a21 @ a22 @ a21 @ a26 @ a27)
% 25.65/4.37 != (tuple @ a2 @ a31 @ a32 @ a3 @ a25 @ a26 @ a4 @ a29 @ a30 @ a5 @
% 25.65/4.37 a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @
% 25.65/4.37 a17 @ a18 @ a13 @ a14 @ a21 @ a22 @ a21 @ a21 @ a27 @ a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17501, zip_derived_cl17498, zip_derived_cl17498])).
% 25.65/4.37 thf(zip_derived_cl134, plain, (((product @ a31 @ a23) = (a30))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl26, plain, (((product @ a25 @ a23) = (a26))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_25])).
% 25.65/4.37 thf(zip_derived_cl2, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X2) @ X1)
% 25.65/4.37 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 25.65/4.37 thf(zip_derived_cl121, plain,
% 25.65/4.37 (![X0 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ a25) @ a23)
% 25.65/4.37 = (product @ (product @ X0 @ a23) @ a26))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl2])).
% 25.65/4.37 thf(zip_derived_cl10062, plain,
% 25.65/4.37 (((product @ (product @ a31 @ a25) @ a23) = (product @ a30 @ a26))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl134, zip_derived_cl121])).
% 25.65/4.37 thf(zip_derived_cl17309, plain,
% 25.65/4.37 (((product @ (product @ a31 @ a25) @ a21) = (product @ a25 @ a21))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17273, zip_derived_cl2893, zip_derived_cl202,
% 25.65/4.37 zip_derived_cl4921])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl17406, plain,
% 25.65/4.37 (((product @ (product @ a25 @ a21) @ a21) = (product @ a31 @ a25))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl17309, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl17425, plain, (((a25) = (product @ a31 @ a25))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl17406, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl26, plain, (((product @ a25 @ a23) = (a26))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_25])).
% 25.65/4.37 thf(zip_derived_cl17440, plain, (((a26) = (product @ a30 @ a26))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl10062, zip_derived_cl17425, zip_derived_cl26])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl17664, plain, (((product @ a26 @ a26) = (a30))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl17440, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl17678, plain, (((a26) = (a30))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl17664, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl17678, plain, (((a26) = (a30))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl17664, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl17711, plain,
% 25.65/4.37 (((tuple @ a1 @ a26 @ a31 @ a2 @ a21 @ a25 @ a3 @ a28 @ a29 @ a4 @ a10 @
% 25.65/4.37 a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @
% 25.65/4.37 a12 @ a13 @ a20 @ a21 @ a22 @ a21 @ a26 @ a27)
% 25.65/4.37 != (tuple @ a2 @ a31 @ a32 @ a3 @ a25 @ a26 @ a4 @ a29 @ a26 @ a5 @
% 25.65/4.37 a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @
% 25.65/4.37 a17 @ a18 @ a13 @ a14 @ a21 @ a22 @ a21 @ a21 @ a27 @ a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17607, zip_derived_cl17678, zip_derived_cl17678])).
% 25.65/4.37 thf(zip_derived_cl131, plain, (((product @ a30 @ a1) = (a29))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl17678, plain, (((a26) = (a30))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl17664, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl27, plain, (((product @ a26 @ a1) = (a27))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_26])).
% 25.65/4.37 thf(zip_derived_cl17689, plain, (((a27) = (a29))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl131, zip_derived_cl17678, zip_derived_cl27])).
% 25.65/4.37 thf(zip_derived_cl17689, plain, (((a27) = (a29))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl131, zip_derived_cl17678, zip_derived_cl27])).
% 25.65/4.37 thf(zip_derived_cl17742, plain,
% 25.65/4.37 (((tuple @ a1 @ a26 @ a31 @ a2 @ a21 @ a25 @ a3 @ a28 @ a29 @ a4 @ a10 @
% 25.65/4.37 a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @
% 25.65/4.37 a12 @ a13 @ a20 @ a21 @ a22 @ a21 @ a26 @ a29)
% 25.65/4.37 != (tuple @ a2 @ a31 @ a32 @ a3 @ a25 @ a26 @ a4 @ a29 @ a26 @ a5 @
% 25.65/4.37 a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @
% 25.65/4.37 a17 @ a18 @ a13 @ a14 @ a21 @ a22 @ a21 @ a21 @ a29 @ a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17711, zip_derived_cl17689, zip_derived_cl17689])).
% 25.65/4.37 thf(zip_derived_cl17425, plain, (((a25) = (product @ a31 @ a25))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl17406, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl17445, plain, (((product @ a25 @ a25) = (a31))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl17425, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl17787, plain, (((a31) = (a25))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl17445, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl17787, plain, (((a31) = (a25))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl17445, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl17848, plain,
% 25.65/4.37 (((tuple @ a1 @ a26 @ a31 @ a2 @ a21 @ a31 @ a3 @ a28 @ a29 @ a4 @ a10 @
% 25.65/4.37 a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @
% 25.65/4.37 a12 @ a13 @ a20 @ a21 @ a22 @ a21 @ a26 @ a29)
% 25.65/4.37 != (tuple @ a2 @ a31 @ a32 @ a3 @ a31 @ a26 @ a4 @ a29 @ a26 @ a5 @
% 25.65/4.37 a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @
% 25.65/4.37 a17 @ a18 @ a13 @ a14 @ a21 @ a22 @ a21 @ a21 @ a29 @ a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17742, zip_derived_cl17787, zip_derived_cl17787])).
% 25.65/4.37 thf(zip_derived_cl4, plain, (((product @ a2 @ a25) = (a3))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_03])).
% 25.65/4.37 thf(zip_derived_cl17787, plain, (((a31) = (a25))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl17445, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl3, plain, (((product @ a1 @ a31) = (a2))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl38, plain, (((product @ a2 @ a31) = (a1))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl17810, plain, (((a1) = (a3))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl4, zip_derived_cl17787, zip_derived_cl38])).
% 25.65/4.37 thf(zip_derived_cl17810, plain, (((a1) = (a3))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl4, zip_derived_cl17787, zip_derived_cl38])).
% 25.65/4.37 thf(zip_derived_cl17902, plain,
% 25.65/4.37 (((tuple @ a1 @ a26 @ a31 @ a2 @ a21 @ a31 @ a1 @ a28 @ a29 @ a4 @ a10 @
% 25.65/4.37 a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @
% 25.65/4.37 a12 @ a13 @ a20 @ a21 @ a22 @ a21 @ a26 @ a29)
% 25.65/4.37 != (tuple @ a2 @ a31 @ a32 @ a1 @ a31 @ a26 @ a4 @ a29 @ a26 @ a5 @
% 25.65/4.37 a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @
% 25.65/4.37 a17 @ a18 @ a13 @ a14 @ a21 @ a22 @ a21 @ a21 @ a29 @ a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17848, zip_derived_cl17810, zip_derived_cl17810])).
% 25.65/4.37 thf(zip_derived_cl17425, plain, (((a25) = (product @ a31 @ a25))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl17406, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl32, plain, (((product @ a31 @ a3) = (a32))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_31])).
% 25.65/4.37 thf(zip_derived_cl2, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X2) @ X1)
% 25.65/4.37 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 25.65/4.37 thf(zip_derived_cl138, plain,
% 25.65/4.37 (![X0 : $i]:
% 25.65/4.37 ((product @ (product @ a31 @ X0) @ a3)
% 25.65/4.37 = (product @ a32 @ (product @ X0 @ a3)))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl2])).
% 25.65/4.37 thf(zip_derived_cl17459, plain,
% 25.65/4.37 (((product @ a25 @ a3) = (product @ a32 @ (product @ a25 @ a3)))),
% 25.65/4.37 inference('s_sup+', [status(thm)],
% 25.65/4.37 [zip_derived_cl17425, zip_derived_cl138])).
% 25.65/4.37 thf(zip_derived_cl60, plain, (((product @ a25 @ a3) = (a24))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl60, plain, (((product @ a25 @ a3) = (a24))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl17468, plain, (((a24) = (product @ a32 @ a24))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17459, zip_derived_cl60, zip_derived_cl60])).
% 25.65/4.37 thf(zip_derived_cl17498, plain, (((a21) = (a24))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl24, zip_derived_cl17491, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl17498, plain, (((a21) = (a24))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl24, zip_derived_cl17491, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl33, plain, (((product @ a32 @ a21) = (a1))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_32])).
% 25.65/4.37 thf(zip_derived_cl17904, plain, (((a21) = (a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17468, zip_derived_cl17498,
% 25.65/4.37 zip_derived_cl17498, zip_derived_cl33])).
% 25.65/4.37 thf(zip_derived_cl17904, plain, (((a21) = (a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17468, zip_derived_cl17498,
% 25.65/4.37 zip_derived_cl17498, zip_derived_cl33])).
% 25.65/4.37 thf(zip_derived_cl17904, plain, (((a21) = (a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17468, zip_derived_cl17498,
% 25.65/4.37 zip_derived_cl17498, zip_derived_cl33])).
% 25.65/4.37 thf(zip_derived_cl17904, plain, (((a21) = (a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17468, zip_derived_cl17498,
% 25.65/4.37 zip_derived_cl17498, zip_derived_cl33])).
% 25.65/4.37 thf(zip_derived_cl17904, plain, (((a21) = (a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17468, zip_derived_cl17498,
% 25.65/4.37 zip_derived_cl17498, zip_derived_cl33])).
% 25.65/4.37 thf(zip_derived_cl17904, plain, (((a21) = (a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17468, zip_derived_cl17498,
% 25.65/4.37 zip_derived_cl17498, zip_derived_cl33])).
% 25.65/4.37 thf(zip_derived_cl17937, plain,
% 25.65/4.37 (((tuple @ a1 @ a26 @ a31 @ a2 @ a1 @ a31 @ a1 @ a28 @ a29 @ a4 @ a10 @
% 25.65/4.37 a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @
% 25.65/4.37 a12 @ a13 @ a20 @ a1 @ a22 @ a1 @ a26 @ a29)
% 25.65/4.37 != (tuple @ a2 @ a31 @ a32 @ a1 @ a31 @ a26 @ a4 @ a29 @ a26 @ a5 @
% 25.65/4.37 a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @
% 25.65/4.37 a17 @ a18 @ a13 @ a14 @ a1 @ a22 @ a1 @ a1 @ a29 @ a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17902, zip_derived_cl17904,
% 25.65/4.37 zip_derived_cl17904, zip_derived_cl17904,
% 25.65/4.37 zip_derived_cl17904, zip_derived_cl17904, zip_derived_cl17904])).
% 25.65/4.37 thf(zip_derived_cl140, plain, (((product @ a1 @ a21) = (a32))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl17904, plain, (((a21) = (a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17468, zip_derived_cl17498,
% 25.65/4.37 zip_derived_cl17498, zip_derived_cl33])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl17910, plain, (((a1) = (a32))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl140, zip_derived_cl17904, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl17940, plain,
% 25.65/4.37 (((tuple @ a1 @ a26 @ a31 @ a2 @ a1 @ a31 @ a1 @ a28 @ a29 @ a4 @ a10 @
% 25.65/4.37 a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @
% 25.65/4.37 a12 @ a13 @ a20 @ a1 @ a22 @ a1 @ a26 @ a29)
% 25.65/4.37 != (tuple @ a2 @ a31 @ a1 @ a1 @ a31 @ a26 @ a4 @ a29 @ a26 @ a5 @
% 25.65/4.37 a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @
% 25.65/4.37 a17 @ a18 @ a13 @ a14 @ a1 @ a22 @ a1 @ a1 @ a29 @ a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17937, zip_derived_cl17910])).
% 25.65/4.37 thf(zip_derived_cl23, plain, (((product @ a22 @ a31) = (a23))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_22])).
% 25.65/4.37 thf(zip_derived_cl17491, plain, (((a21) = (a23))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl17475, zip_derived_cl57])).
% 25.65/4.37 thf(zip_derived_cl17497, plain, (((product @ a22 @ a31) = (a21))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl17491])).
% 25.65/4.37 thf(zip_derived_cl17904, plain, (((a21) = (a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17468, zip_derived_cl17498,
% 25.65/4.37 zip_derived_cl17498, zip_derived_cl33])).
% 25.65/4.37 thf(zip_derived_cl17986, plain, (((product @ a22 @ a31) = (a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17497, zip_derived_cl17904])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl17987, plain, (((product @ a1 @ a31) = (a22))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl17986, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl3, plain, (((product @ a1 @ a31) = (a2))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot])).
% 25.65/4.37 thf(zip_derived_cl18001, plain, (((a2) = (a22))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl17987, zip_derived_cl3])).
% 25.65/4.37 thf(zip_derived_cl18001, plain, (((a2) = (a22))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl17987, zip_derived_cl3])).
% 25.65/4.37 thf(zip_derived_cl19299, plain,
% 25.65/4.37 (((tuple @ a1 @ a26 @ a31 @ a2 @ a1 @ a31 @ a1 @ a28 @ a29 @ a4 @ a10 @
% 25.65/4.37 a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @
% 25.65/4.37 a12 @ a13 @ a20 @ a1 @ a2 @ a1 @ a26 @ a29)
% 25.65/4.37 != (tuple @ a2 @ a31 @ a1 @ a1 @ a31 @ a26 @ a4 @ a29 @ a26 @ a5 @
% 25.65/4.37 a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @
% 25.65/4.37 a17 @ a18 @ a13 @ a14 @ a1 @ a2 @ a1 @ a1 @ a29 @ a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17940, zip_derived_cl18001, zip_derived_cl18001])).
% 25.65/4.37 thf(zip_derived_cl25, plain, (((product @ a24 @ a3) = (a25))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_24])).
% 25.65/4.37 thf(zip_derived_cl17498, plain, (((a21) = (a24))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl24, zip_derived_cl17491, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl17567, plain, (((product @ a21 @ a3) = (a25))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl17498])).
% 25.65/4.37 thf(zip_derived_cl17904, plain, (((a21) = (a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17468, zip_derived_cl17498,
% 25.65/4.37 zip_derived_cl17498, zip_derived_cl33])).
% 25.65/4.37 thf(zip_derived_cl17810, plain, (((a1) = (a3))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl4, zip_derived_cl17787, zip_derived_cl38])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl17787, plain, (((a31) = (a25))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl17445, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl20655, plain, (((a1) = (a31))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17567, zip_derived_cl17904,
% 25.65/4.37 zip_derived_cl17810, zip_derived_cl0, zip_derived_cl17787])).
% 25.65/4.37 thf(zip_derived_cl20655, plain, (((a1) = (a31))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17567, zip_derived_cl17904,
% 25.65/4.37 zip_derived_cl17810, zip_derived_cl0, zip_derived_cl17787])).
% 25.65/4.37 thf(zip_derived_cl20655, plain, (((a1) = (a31))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17567, zip_derived_cl17904,
% 25.65/4.37 zip_derived_cl17810, zip_derived_cl0, zip_derived_cl17787])).
% 25.65/4.37 thf(zip_derived_cl20655, plain, (((a1) = (a31))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17567, zip_derived_cl17904,
% 25.65/4.37 zip_derived_cl17810, zip_derived_cl0, zip_derived_cl17787])).
% 25.65/4.37 thf(zip_derived_cl20666, plain,
% 25.65/4.37 (((tuple @ a1 @ a26 @ a1 @ a2 @ a1 @ a1 @ a1 @ a28 @ a29 @ a4 @ a10 @
% 25.65/4.37 a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @
% 25.65/4.37 a12 @ a13 @ a20 @ a1 @ a2 @ a1 @ a26 @ a29)
% 25.65/4.37 != (tuple @ a2 @ a1 @ a1 @ a1 @ a1 @ a26 @ a4 @ a29 @ a26 @ a5 @
% 25.65/4.37 a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @
% 25.65/4.37 a17 @ a18 @ a13 @ a14 @ a1 @ a2 @ a1 @ a1 @ a29 @ a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl19299, zip_derived_cl20655,
% 25.65/4.37 zip_derived_cl20655, zip_derived_cl20655, zip_derived_cl20655])).
% 25.65/4.37 thf(zip_derived_cl3, plain, (((product @ a1 @ a31) = (a2))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot])).
% 25.65/4.37 thf(zip_derived_cl20655, plain, (((a1) = (a31))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17567, zip_derived_cl17904,
% 25.65/4.37 zip_derived_cl17810, zip_derived_cl0, zip_derived_cl17787])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl20656, plain, (((a1) = (a2))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl3, zip_derived_cl20655, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl20656, plain, (((a1) = (a2))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl3, zip_derived_cl20655, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl20656, plain, (((a1) = (a2))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl3, zip_derived_cl20655, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl20656, plain, (((a1) = (a2))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl3, zip_derived_cl20655, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl20669, plain,
% 25.65/4.37 (((tuple @ a1 @ a26 @ a1 @ a1 @ a1 @ a1 @ a1 @ a28 @ a29 @ a4 @ a10 @
% 25.65/4.37 a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @
% 25.65/4.37 a12 @ a13 @ a20 @ a1 @ a1 @ a1 @ a26 @ a29)
% 25.65/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a26 @ a4 @ a29 @ a26 @ a5 @
% 25.65/4.37 a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @
% 25.65/4.37 a17 @ a18 @ a13 @ a14 @ a1 @ a1 @ a1 @ a1 @ a29 @ a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl20666, zip_derived_cl20656,
% 25.65/4.37 zip_derived_cl20656, zip_derived_cl20656, zip_derived_cl20656])).
% 25.65/4.37 thf(zip_derived_cl17434, plain, (((a22) = (product @ a23 @ a25))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17418, zip_derived_cl934, zip_derived_cl1,
% 25.65/4.37 zip_derived_cl16674])).
% 25.65/4.37 thf(zip_derived_cl855, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ (product @ X1 @ X0)) @ X0)
% 25.65/4.37 = (product @ X0 @ X1))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl17487, plain,
% 25.65/4.37 (((product @ (product @ a25 @ a22) @ a25) = (product @ a25 @ a23))),
% 25.65/4.37 inference('s_sup+', [status(thm)],
% 25.65/4.37 [zip_derived_cl17434, zip_derived_cl855])).
% 25.65/4.37 thf(zip_derived_cl22, plain, (((product @ a21 @ a25) = (a22))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_21])).
% 25.65/4.37 thf(zip_derived_cl855, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ (product @ X1 @ X0)) @ X0)
% 25.65/4.37 = (product @ X0 @ X1))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl8036, plain,
% 25.65/4.37 (((product @ (product @ a25 @ a22) @ a25) = (product @ a25 @ a21))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl855])).
% 25.65/4.37 thf(zip_derived_cl26, plain, (((product @ a25 @ a23) = (a26))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_25])).
% 25.65/4.37 thf(zip_derived_cl17495, plain, (((product @ a25 @ a21) = (a26))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17487, zip_derived_cl8036, zip_derived_cl26])).
% 25.65/4.37 thf(zip_derived_cl17787, plain, (((a31) = (a25))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl17445, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl17904, plain, (((a21) = (a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17468, zip_derived_cl17498,
% 25.65/4.37 zip_derived_cl17498, zip_derived_cl33])).
% 25.65/4.37 thf(zip_derived_cl17968, plain, (((product @ a31 @ a1) = (a26))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17495, zip_derived_cl17787, zip_derived_cl17904])).
% 25.65/4.37 thf(zip_derived_cl20655, plain, (((a1) = (a31))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17567, zip_derived_cl17904,
% 25.65/4.37 zip_derived_cl17810, zip_derived_cl0, zip_derived_cl17787])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl20665, plain, (((a1) = (a26))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17968, zip_derived_cl20655, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl20665, plain, (((a1) = (a26))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17968, zip_derived_cl20655, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl20665, plain, (((a1) = (a26))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17968, zip_derived_cl20655, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl20665, plain, (((a1) = (a26))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17968, zip_derived_cl20655, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl22599, plain,
% 25.65/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a28 @ a29 @ a4 @ a10 @
% 25.65/4.37 a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @
% 25.65/4.37 a12 @ a13 @ a20 @ a1 @ a1 @ a1 @ a1 @ a29)
% 25.65/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a4 @ a29 @ a1 @ a5 @ a11 @
% 25.65/4.37 a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @ a17 @
% 25.65/4.37 a18 @ a13 @ a14 @ a1 @ a1 @ a1 @ a1 @ a29 @ a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl20669, zip_derived_cl20665,
% 25.65/4.37 zip_derived_cl20665, zip_derived_cl20665, zip_derived_cl20665])).
% 25.65/4.37 thf(zip_derived_cl30, plain, (((product @ a29 @ a1) = (a30))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_29])).
% 25.65/4.37 thf(zip_derived_cl17678, plain, (((a26) = (a30))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl17664, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl17688, plain, (((product @ a29 @ a1) = (a26))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17678])).
% 25.65/4.37 thf(zip_derived_cl20665, plain, (((a1) = (a26))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17968, zip_derived_cl20655, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl22607, plain, (((product @ a29 @ a1) = (a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17688, zip_derived_cl20665])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl22608, plain, (((product @ a1 @ a1) = (a29))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl22607, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl22627, plain, (((a1) = (a29))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl22608, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl22627, plain, (((a1) = (a29))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl22608, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl22627, plain, (((a1) = (a29))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl22608, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl22627, plain, (((a1) = (a29))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl22608, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl22651, plain,
% 25.65/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a28 @ a1 @ a4 @ a10 @
% 25.65/4.37 a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @
% 25.65/4.37 a12 @ a13 @ a20 @ a1 @ a1 @ a1 @ a1 @ a1)
% 25.65/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a4 @ a1 @ a1 @ a5 @ a11 @
% 25.65/4.37 a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @ a17 @
% 25.65/4.37 a18 @ a13 @ a14 @ a1 @ a1 @ a1 @ a1 @ a1 @ a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl22599, zip_derived_cl22627,
% 25.65/4.37 zip_derived_cl22627, zip_derived_cl22627, zip_derived_cl22627])).
% 25.65/4.37 thf(zip_derived_cl22607, plain, (((product @ a29 @ a1) = (a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17688, zip_derived_cl20665])).
% 25.65/4.37 thf(zip_derived_cl855, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ (product @ X1 @ X0)) @ X0)
% 25.65/4.37 = (product @ X0 @ X1))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl22621, plain,
% 25.65/4.37 (((product @ (product @ a1 @ a1) @ a1) = (product @ a1 @ a29))),
% 25.65/4.37 inference('s_sup+', [status(thm)],
% 25.65/4.37 [zip_derived_cl22607, zip_derived_cl855])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl24, plain, (((product @ a23 @ a21) = (a24))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_23])).
% 25.65/4.37 thf(knot_20, axiom, (( product @ a20 @ a29 ) = ( a21 ))).
% 25.65/4.37 thf(zip_derived_cl21, plain, (((product @ a20 @ a29) = (a21))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_20])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl56, plain, (((product @ a21 @ a29) = (a20))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl2, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X2) @ X1)
% 25.65/4.37 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 25.65/4.37 thf(zip_derived_cl199, plain,
% 25.65/4.37 (![X0 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ a21) @ a29)
% 25.65/4.37 = (product @ (product @ X0 @ a29) @ a20))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl2])).
% 25.65/4.37 thf(zip_derived_cl16490, plain,
% 25.65/4.37 (((product @ a24 @ a29) = (product @ (product @ a23 @ a29) @ a20))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl199])).
% 25.65/4.37 thf(zip_derived_cl17491, plain, (((a21) = (a23))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl17475, zip_derived_cl57])).
% 25.65/4.37 thf(zip_derived_cl56, plain, (((product @ a21 @ a29) = (a20))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl17562, plain, (((product @ a24 @ a29) = (a20))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl16490, zip_derived_cl17491, zip_derived_cl56,
% 25.65/4.37 zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl17498, plain, (((a21) = (a24))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl24, zip_derived_cl17491, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl17904, plain, (((a21) = (a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17468, zip_derived_cl17498,
% 25.65/4.37 zip_derived_cl17498, zip_derived_cl33])).
% 25.65/4.37 thf(zip_derived_cl17936, plain, (((a1) = (a24))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17498, zip_derived_cl17904])).
% 25.65/4.37 thf(zip_derived_cl20636, plain, (((product @ a1 @ a29) = (a20))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17562, zip_derived_cl17936])).
% 25.65/4.37 thf(zip_derived_cl22637, plain, (((a1) = (a20))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl22621, zip_derived_cl0, zip_derived_cl0,
% 25.65/4.37 zip_derived_cl20636])).
% 25.65/4.37 thf(zip_derived_cl22637, plain, (((a1) = (a20))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl22621, zip_derived_cl0, zip_derived_cl0,
% 25.65/4.37 zip_derived_cl20636])).
% 25.65/4.37 thf(zip_derived_cl22681, plain,
% 25.65/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a28 @ a1 @ a4 @ a10 @
% 25.65/4.37 a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @
% 25.65/4.37 a12 @ a13 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1)
% 25.65/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a4 @ a1 @ a1 @ a5 @ a11 @
% 25.65/4.37 a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a1 @ a9 @ a10 @ a17 @
% 25.65/4.37 a18 @ a13 @ a14 @ a1 @ a1 @ a1 @ a1 @ a1 @ a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl22651, zip_derived_cl22637, zip_derived_cl22637])).
% 25.65/4.37 thf(zip_derived_cl28, plain, (((product @ a27 @ a21) = (a28))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_27])).
% 25.65/4.37 thf(zip_derived_cl17689, plain, (((a27) = (a29))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl131, zip_derived_cl17678, zip_derived_cl27])).
% 25.65/4.37 thf(zip_derived_cl17713, plain, (((product @ a29 @ a21) = (a28))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl17689])).
% 25.65/4.37 thf(zip_derived_cl22627, plain, (((a1) = (a29))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl22608, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl17904, plain, (((a21) = (a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17468, zip_derived_cl17498,
% 25.65/4.37 zip_derived_cl17498, zip_derived_cl33])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl23657, plain, (((a1) = (a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17713, zip_derived_cl22627,
% 25.65/4.37 zip_derived_cl17904, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl23657, plain, (((a1) = (a28))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17713, zip_derived_cl22627,
% 25.65/4.37 zip_derived_cl17904, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl23658, plain,
% 25.65/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a4 @ a10 @ a11 @
% 25.65/4.37 a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @ a12 @
% 25.65/4.37 a13 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1)
% 25.65/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a4 @ a1 @ a1 @ a5 @ a11 @
% 25.65/4.37 a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a1 @ a9 @ a10 @ a17 @
% 25.65/4.37 a18 @ a13 @ a14 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl22681, zip_derived_cl23657, zip_derived_cl23657])).
% 25.65/4.37 thf(knot_04, axiom, (( product @ a3 @ a29 ) = ( a4 ))).
% 25.65/4.37 thf(zip_derived_cl5, plain, (((product @ a3 @ a29) = (a4))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_04])).
% 25.65/4.37 thf(zip_derived_cl17810, plain, (((a1) = (a3))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl4, zip_derived_cl17787, zip_derived_cl38])).
% 25.65/4.37 thf(zip_derived_cl17849, plain, (((product @ a1 @ a29) = (a4))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl17810])).
% 25.65/4.37 thf(zip_derived_cl22627, plain, (((a1) = (a29))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl22608, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl23666, plain, (((a1) = (a4))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17849, zip_derived_cl22627, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl23666, plain, (((a1) = (a4))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17849, zip_derived_cl22627, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl23710, plain,
% 25.65/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a10 @ a11 @
% 25.65/4.37 a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @ a12 @
% 25.65/4.37 a13 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1)
% 25.65/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5 @ a11 @
% 25.65/4.37 a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a1 @ a9 @ a10 @ a17 @
% 25.65/4.37 a18 @ a13 @ a14 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl23658, zip_derived_cl23666, zip_derived_cl23666])).
% 25.65/4.37 thf(knot_19, axiom, (( product @ a19 @ a11 ) = ( a20 ))).
% 25.65/4.37 thf(zip_derived_cl20, plain, (((product @ a19 @ a11) = (a20))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_19])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl55, plain, (((product @ a20 @ a11) = (a19))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl22637, plain, (((a1) = (a20))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl22621, zip_derived_cl0, zip_derived_cl0,
% 25.65/4.37 zip_derived_cl20636])).
% 25.65/4.37 thf(zip_derived_cl22654, plain, (((product @ a1 @ a11) = (a19))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl22637])).
% 25.65/4.37 thf(knot_05, axiom, (( product @ a4 @ a11 ) = ( a5 ))).
% 25.65/4.37 thf(zip_derived_cl6, plain, (((product @ a4 @ a11) = (a5))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_05])).
% 25.65/4.37 thf(zip_derived_cl23666, plain, (((a1) = (a4))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17849, zip_derived_cl22627, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl23667, plain, (((product @ a1 @ a11) = (a5))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl23666])).
% 25.65/4.37 thf(zip_derived_cl25253, plain, (((a5) = (a19))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl22654, zip_derived_cl23667])).
% 25.65/4.37 thf(zip_derived_cl25253, plain, (((a5) = (a19))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl22654, zip_derived_cl23667])).
% 25.65/4.37 thf(zip_derived_cl25368, plain,
% 25.65/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a10 @ a11 @
% 25.65/4.37 a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a5 @ a8 @ a9 @ a16 @ a17 @ a12 @
% 25.65/4.37 a13 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1)
% 25.65/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5 @ a11 @
% 25.65/4.37 a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a5 @ a1 @ a9 @ a10 @ a17 @ a18 @
% 25.65/4.37 a13 @ a14 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl23710, zip_derived_cl25253, zip_derived_cl25253])).
% 25.65/4.37 thf(knot_12, axiom, (( product @ a12 @ a19 ) = ( a13 ))).
% 25.65/4.37 thf(zip_derived_cl13, plain, (((product @ a12 @ a19) = (a13))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_12])).
% 25.65/4.37 thf(zip_derived_cl25253, plain, (((a5) = (a19))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl22654, zip_derived_cl23667])).
% 25.65/4.37 thf(knot_11, axiom, (( product @ a11 @ a5 ) = ( a12 ))).
% 25.65/4.37 thf(zip_derived_cl12, plain, (((product @ a11 @ a5) = (a12))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_11])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl42, plain, (((product @ a12 @ a5) = (a11))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl25282, plain, (((a11) = (a13))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl13, zip_derived_cl25253, zip_derived_cl42])).
% 25.65/4.37 thf(zip_derived_cl25282, plain, (((a11) = (a13))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl13, zip_derived_cl25253, zip_derived_cl42])).
% 25.65/4.37 thf(zip_derived_cl25463, plain,
% 25.65/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a10 @ a11 @
% 25.65/4.37 a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a5 @ a8 @ a9 @ a16 @ a17 @ a12 @
% 25.65/4.37 a11 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1)
% 25.65/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5 @ a11 @
% 25.65/4.37 a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a5 @ a1 @ a9 @ a10 @ a17 @ a18 @
% 25.65/4.37 a11 @ a14 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25368, zip_derived_cl25282, zip_derived_cl25282])).
% 25.65/4.37 thf(knot_16, axiom, (( product @ a16 @ a19 ) = ( a17 ))).
% 25.65/4.37 thf(zip_derived_cl17, plain, (((product @ a16 @ a19) = (a17))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_16])).
% 25.65/4.37 thf(zip_derived_cl25253, plain, (((a5) = (a19))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl22654, zip_derived_cl23667])).
% 25.65/4.37 thf(knot_15, axiom, (( product @ a15 @ a5 ) = ( a16 ))).
% 25.65/4.37 thf(zip_derived_cl16, plain, (((product @ a15 @ a5) = (a16))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_15])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl51, plain, (((product @ a16 @ a5) = (a15))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl25283, plain, (((a15) = (a17))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17, zip_derived_cl25253, zip_derived_cl51])).
% 25.65/4.37 thf(zip_derived_cl25283, plain, (((a15) = (a17))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17, zip_derived_cl25253, zip_derived_cl51])).
% 25.65/4.37 thf(zip_derived_cl25523, plain,
% 25.65/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a10 @ a11 @
% 25.65/4.37 a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a5 @ a8 @ a9 @ a16 @ a15 @ a12 @
% 25.65/4.37 a11 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1)
% 25.65/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5 @ a11 @
% 25.65/4.37 a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a5 @ a1 @ a9 @ a10 @ a15 @ a18 @
% 25.65/4.37 a11 @ a14 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25463, zip_derived_cl25283, zip_derived_cl25283])).
% 25.65/4.37 thf(knot_07, axiom, (( product @ a7 @ a19 ) = ( a8 ))).
% 25.65/4.37 thf(zip_derived_cl8, plain, (((product @ a7 @ a19) = (a8))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_07])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl44, plain, (((product @ a8 @ a19) = (a7))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl25253, plain, (((a5) = (a19))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl22654, zip_derived_cl23667])).
% 25.65/4.37 thf(knot_08, axiom, (( product @ a8 @ a5 ) = ( a9 ))).
% 25.65/4.37 thf(zip_derived_cl9, plain, (((product @ a8 @ a5) = (a9))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_08])).
% 25.65/4.37 thf(zip_derived_cl25285, plain, (((a9) = (a7))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl44, zip_derived_cl25253, zip_derived_cl9])).
% 25.65/4.37 thf(zip_derived_cl25285, plain, (((a9) = (a7))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl44, zip_derived_cl25253, zip_derived_cl9])).
% 25.65/4.37 thf(zip_derived_cl25551, plain,
% 25.65/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a10 @ a11 @
% 25.65/4.37 a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a5 @ a8 @ a7 @ a16 @ a15 @ a12 @
% 25.65/4.37 a11 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1)
% 25.65/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5 @ a11 @
% 25.65/4.37 a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a5 @ a1 @ a7 @ a10 @ a15 @ a18 @
% 25.65/4.37 a11 @ a14 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25523, zip_derived_cl25285, zip_derived_cl25285])).
% 25.65/4.37 thf(knot_18, axiom, (( product @ a18 @ a15 ) = ( a19 ))).
% 25.65/4.37 thf(zip_derived_cl19, plain, (((product @ a18 @ a15) = (a19))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_18])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl54, plain, (((product @ a19 @ a15) = (a18))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl25253, plain, (((a5) = (a19))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl22654, zip_derived_cl23667])).
% 25.65/4.37 thf(knot_06, axiom, (( product @ a5 @ a15 ) = ( a6 ))).
% 25.65/4.37 thf(zip_derived_cl7, plain, (((product @ a5 @ a15) = (a6))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_06])).
% 25.65/4.37 thf(zip_derived_cl25288, plain, (((a6) = (a18))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl54, zip_derived_cl25253, zip_derived_cl7])).
% 25.65/4.37 thf(zip_derived_cl25288, plain, (((a6) = (a18))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl54, zip_derived_cl25253, zip_derived_cl7])).
% 25.65/4.37 thf(zip_derived_cl25554, plain,
% 25.65/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a10 @ a11 @
% 25.65/4.37 a5 @ a14 @ a15 @ a6 @ a7 @ a6 @ a5 @ a8 @ a7 @ a16 @ a15 @ a12 @
% 25.65/4.37 a11 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1)
% 25.65/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5 @ a11 @
% 25.65/4.37 a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a5 @ a1 @ a7 @ a10 @ a15 @ a6 @
% 25.65/4.37 a11 @ a14 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25551, zip_derived_cl25288, zip_derived_cl25288])).
% 25.65/4.37 thf(knot_13, axiom, (( product @ a13 @ a7 ) = ( a14 ))).
% 25.65/4.37 thf(zip_derived_cl14, plain, (((product @ a13 @ a7) = (a14))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_13])).
% 25.65/4.37 thf(zip_derived_cl25282, plain, (((a11) = (a13))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl13, zip_derived_cl25253, zip_derived_cl42])).
% 25.65/4.37 thf(knot_10, axiom, (( product @ a10 @ a7 ) = ( a11 ))).
% 25.65/4.37 thf(zip_derived_cl11, plain, (((product @ a10 @ a7) = (a11))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_10])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl47, plain, (((product @ a11 @ a7) = (a10))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl25369, plain, (((a10) = (a14))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl14, zip_derived_cl25282, zip_derived_cl47])).
% 25.65/4.37 thf(zip_derived_cl17, plain, (((product @ a16 @ a19) = (a17))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_16])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl52, plain, (((product @ a17 @ a19) = (a16))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl91, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X1) @ X0)
% 25.65/4.37 = (product @ X0 @ (product @ X1 @ X0)))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 25.65/4.37 thf(zip_derived_cl918, plain,
% 25.65/4.37 (((product @ a16 @ a17) = (product @ a17 @ (product @ a19 @ a17)))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl91])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl2013, plain,
% 25.65/4.37 (((product @ (product @ a16 @ a17) @ (product @ a19 @ a17)) = (a17))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl25253, plain, (((a5) = (a19))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl22654, zip_derived_cl23667])).
% 25.65/4.37 thf(zip_derived_cl2, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ X2) @ X1)
% 25.65/4.37 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 25.65/4.37 thf(zip_derived_cl51, plain, (((product @ a16 @ a5) = (a15))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 25.65/4.37 thf(knot_14, axiom, (( product @ a14 @ a17 ) = ( a15 ))).
% 25.65/4.37 thf(zip_derived_cl15, plain, (((product @ a14 @ a17) = (a15))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_14])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl50, plain, (((product @ a15 @ a17) = (a14))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl25318, plain, (((a14) = (a17))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl2013, zip_derived_cl25253, zip_derived_cl2,
% 25.65/4.37 zip_derived_cl51, zip_derived_cl50])).
% 25.65/4.37 thf(zip_derived_cl25283, plain, (((a15) = (a17))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17, zip_derived_cl25253, zip_derived_cl51])).
% 25.65/4.37 thf(zip_derived_cl25555, plain, (((a14) = (a15))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25318, zip_derived_cl25283])).
% 25.65/4.37 thf(zip_derived_cl25556, plain, (((a10) = (a15))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25369, zip_derived_cl25555])).
% 25.65/4.37 thf(zip_derived_cl25555, plain, (((a14) = (a15))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25318, zip_derived_cl25283])).
% 25.65/4.37 thf(zip_derived_cl25556, plain, (((a10) = (a15))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25369, zip_derived_cl25555])).
% 25.65/4.37 thf(zip_derived_cl25555, plain, (((a14) = (a15))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25318, zip_derived_cl25283])).
% 25.65/4.37 thf(zip_derived_cl25671, plain,
% 25.65/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a15 @ a11 @
% 25.65/4.37 a5 @ a15 @ a15 @ a6 @ a7 @ a6 @ a5 @ a8 @ a7 @ a16 @ a15 @ a12 @
% 25.65/4.37 a11 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1)
% 25.65/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5 @ a11 @
% 25.65/4.37 a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a5 @ a1 @ a7 @ a15 @ a15 @ a6 @
% 25.65/4.37 a11 @ a15 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25554, zip_derived_cl25556,
% 25.65/4.37 zip_derived_cl25555, zip_derived_cl25556, zip_derived_cl25555])).
% 25.65/4.37 thf(knot_09, axiom, (( product @ a9 @ a17 ) = ( a10 ))).
% 25.65/4.37 thf(zip_derived_cl10, plain, (((product @ a9 @ a17) = (a10))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_09])).
% 25.65/4.37 thf(zip_derived_cl25283, plain, (((a15) = (a17))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl17, zip_derived_cl25253, zip_derived_cl51])).
% 25.65/4.37 thf(zip_derived_cl25464, plain, (((product @ a9 @ a15) = (a10))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl25283])).
% 25.65/4.37 thf(zip_derived_cl25285, plain, (((a9) = (a7))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl44, zip_derived_cl25253, zip_derived_cl9])).
% 25.65/4.37 thf(zip_derived_cl25556, plain, (((a10) = (a15))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25369, zip_derived_cl25555])).
% 25.65/4.37 thf(zip_derived_cl25831, plain, (((product @ a7 @ a15) = (a15))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25464, zip_derived_cl25285, zip_derived_cl25556])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl25832, plain, (((product @ a15 @ a15) = (a7))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl25831, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl25858, plain, (((a15) = (a7))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl25832, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl25858, plain, (((a15) = (a7))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl25832, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl25858, plain, (((a15) = (a7))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl25832, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl25858, plain, (((a15) = (a7))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl25832, zip_derived_cl0])).
% 25.65/4.37 thf(zip_derived_cl25957, plain,
% 25.65/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a15 @ a11 @
% 25.65/4.37 a5 @ a15 @ a15 @ a6 @ a15 @ a6 @ a5 @ a8 @ a15 @ a16 @ a15 @ a12 @
% 25.65/4.37 a11 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1)
% 25.65/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5 @ a11 @
% 25.65/4.37 a12 @ a6 @ a15 @ a16 @ a15 @ a8 @ a5 @ a1 @ a15 @ a15 @ a15 @
% 25.65/4.37 a6 @ a11 @ a15 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25671, zip_derived_cl25858,
% 25.65/4.37 zip_derived_cl25858, zip_derived_cl25858, zip_derived_cl25858])).
% 25.65/4.37 thf(zip_derived_cl25831, plain, (((product @ a7 @ a15) = (a15))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25464, zip_derived_cl25285, zip_derived_cl25556])).
% 25.65/4.37 thf(zip_derived_cl855, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]:
% 25.65/4.37 ((product @ (product @ X0 @ (product @ X1 @ X0)) @ X0)
% 25.65/4.37 = (product @ X0 @ X1))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl25848, plain,
% 25.65/4.37 (((product @ (product @ a15 @ a15) @ a15) = (product @ a15 @ a7))),
% 25.65/4.37 inference('s_sup+', [status(thm)],
% 25.65/4.37 [zip_derived_cl25831, zip_derived_cl855])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.65/4.37 thf(zip_derived_cl14, plain, (((product @ a13 @ a7) = (a14))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_13])).
% 25.65/4.37 thf(zip_derived_cl1, plain,
% 25.65/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.65/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.65/4.37 thf(zip_derived_cl49, plain, (((product @ a14 @ a7) = (a13))),
% 25.65/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 25.65/4.37 thf(zip_derived_cl25282, plain, (((a11) = (a13))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl13, zip_derived_cl25253, zip_derived_cl42])).
% 25.65/4.37 thf(zip_derived_cl25370, plain, (((product @ a14 @ a7) = (a11))),
% 25.65/4.37 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl25282])).
% 25.65/4.37 thf(zip_derived_cl25555, plain, (((a14) = (a15))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25318, zip_derived_cl25283])).
% 25.65/4.37 thf(zip_derived_cl25801, plain, (((product @ a15 @ a7) = (a11))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25370, zip_derived_cl25555])).
% 25.65/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.65/4.37 zip_derived_cl25801])).
% 25.65/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.65/4.37 zip_derived_cl25801])).
% 25.65/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.65/4.37 zip_derived_cl25801])).
% 25.65/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.65/4.37 zip_derived_cl25801])).
% 25.65/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.65/4.37 zip_derived_cl25801])).
% 25.65/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.65/4.37 zip_derived_cl25801])).
% 25.65/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.65/4.37 zip_derived_cl25801])).
% 25.65/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.65/4.37 zip_derived_cl25801])).
% 25.65/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.65/4.37 zip_derived_cl25801])).
% 25.65/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.65/4.37 zip_derived_cl25801])).
% 25.65/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.65/4.37 zip_derived_cl25801])).
% 25.65/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.65/4.37 zip_derived_cl25801])).
% 25.65/4.37 thf(zip_derived_cl25995, plain,
% 25.65/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a11 @ a11 @
% 25.65/4.37 a5 @ a11 @ a11 @ a6 @ a11 @ a6 @ a5 @ a8 @ a11 @ a16 @ a11 @ a12 @
% 25.65/4.37 a11 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1)
% 25.65/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5 @ a11 @
% 25.65/4.37 a12 @ a6 @ a11 @ a16 @ a11 @ a8 @ a5 @ a1 @ a11 @ a11 @ a11 @
% 25.65/4.37 a6 @ a11 @ a11 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 25.65/4.37 inference('demod', [status(thm)],
% 25.65/4.37 [zip_derived_cl25957, zip_derived_cl25869,
% 25.65/4.37 zip_derived_cl25869, zip_derived_cl25869,
% 25.65/4.37 zip_derived_cl25869, zip_derived_cl25869,
% 25.65/4.37 zip_derived_cl25869, zip_derived_cl25869,
% 25.65/4.37 zip_derived_cl25869, zip_derived_cl25869,
% 25.65/4.37 zip_derived_cl25869, zip_derived_cl25869, zip_derived_cl25869])).
% 25.65/4.37 thf(zip_derived_cl8, plain, (((product @ a7 @ a19) = (a8))),
% 25.65/4.37 inference('cnf', [status(esa)], [knot_07])).
% 25.65/4.37 thf(zip_derived_cl25253, plain, (((a5) = (a19))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl22654, zip_derived_cl23667])).
% 25.67/4.37 thf(zip_derived_cl25281, plain, (((product @ a7 @ a5) = (a8))),
% 25.67/4.37 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl25253])).
% 25.67/4.37 thf(zip_derived_cl25858, plain, (((a15) = (a7))),
% 25.67/4.37 inference('demod', [status(thm)], [zip_derived_cl25832, zip_derived_cl0])).
% 25.67/4.37 thf(zip_derived_cl16, plain, (((product @ a15 @ a5) = (a16))),
% 25.67/4.37 inference('cnf', [status(esa)], [knot_15])).
% 25.67/4.37 thf(zip_derived_cl25955, plain, (((a16) = (a8))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25281, zip_derived_cl25858, zip_derived_cl16])).
% 25.67/4.37 thf(zip_derived_cl25955, plain, (((a16) = (a8))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25281, zip_derived_cl25858, zip_derived_cl16])).
% 25.67/4.37 thf(zip_derived_cl26003, plain,
% 25.67/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a11 @ a11 @
% 25.67/4.37 a5 @ a11 @ a11 @ a6 @ a11 @ a6 @ a5 @ a8 @ a11 @ a8 @ a11 @ a12 @
% 25.67/4.37 a11 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1)
% 25.67/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5 @ a11 @
% 25.67/4.37 a12 @ a6 @ a11 @ a8 @ a11 @ a8 @ a5 @ a1 @ a11 @ a11 @ a11 @ a6 @
% 25.67/4.37 a11 @ a11 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25995, zip_derived_cl25955, zip_derived_cl25955])).
% 25.67/4.37 thf(zip_derived_cl7, plain, (((product @ a5 @ a15) = (a6))),
% 25.67/4.37 inference('cnf', [status(esa)], [knot_06])).
% 25.67/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.67/4.37 zip_derived_cl25801])).
% 25.67/4.37 thf(zip_derived_cl6, plain, (((product @ a4 @ a11) = (a5))),
% 25.67/4.37 inference('cnf', [status(esa)], [knot_05])).
% 25.67/4.37 thf(zip_derived_cl1, plain,
% 25.67/4.37 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 25.67/4.37 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 25.67/4.37 thf(zip_derived_cl41, plain, (((product @ a5 @ a11) = (a4))),
% 25.67/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 25.67/4.37 thf(zip_derived_cl23666, plain, (((a1) = (a4))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl17849, zip_derived_cl22627, zip_derived_cl0])).
% 25.67/4.37 thf(zip_derived_cl23668, plain, (((product @ a5 @ a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl23666])).
% 25.67/4.37 thf(zip_derived_cl25961, plain, (((a1) = (a6))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl7, zip_derived_cl25869, zip_derived_cl23668])).
% 25.67/4.37 thf(zip_derived_cl25961, plain, (((a1) = (a6))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl7, zip_derived_cl25869, zip_derived_cl23668])).
% 25.67/4.37 thf(zip_derived_cl16, plain, (((product @ a15 @ a5) = (a16))),
% 25.67/4.37 inference('cnf', [status(esa)], [knot_15])).
% 25.67/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.67/4.37 zip_derived_cl25801])).
% 25.67/4.37 thf(zip_derived_cl12, plain, (((product @ a11 @ a5) = (a12))),
% 25.67/4.37 inference('cnf', [status(esa)], [knot_11])).
% 25.67/4.37 thf(zip_derived_cl25962, plain, (((a12) = (a16))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl16, zip_derived_cl25869, zip_derived_cl12])).
% 25.67/4.37 thf(zip_derived_cl25955, plain, (((a16) = (a8))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25281, zip_derived_cl25858, zip_derived_cl16])).
% 25.67/4.37 thf(zip_derived_cl26158, plain, (((a12) = (a8))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25962, zip_derived_cl25955])).
% 25.67/4.37 thf(zip_derived_cl26158, plain, (((a12) = (a8))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25962, zip_derived_cl25955])).
% 25.67/4.37 thf(zip_derived_cl25961, plain, (((a1) = (a6))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl7, zip_derived_cl25869, zip_derived_cl23668])).
% 25.67/4.37 thf(zip_derived_cl25961, plain, (((a1) = (a6))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl7, zip_derived_cl25869, zip_derived_cl23668])).
% 25.67/4.37 thf(zip_derived_cl26165, plain,
% 25.67/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a11 @ a11 @
% 25.67/4.37 a5 @ a11 @ a11 @ a1 @ a11 @ a1 @ a5 @ a8 @ a11 @ a8 @ a11 @ a8 @
% 25.67/4.37 a11 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1)
% 25.67/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5 @ a11 @
% 25.67/4.37 a8 @ a1 @ a11 @ a8 @ a11 @ a8 @ a5 @ a1 @ a11 @ a11 @ a11 @ a1 @
% 25.67/4.37 a11 @ a11 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl26003, zip_derived_cl25961,
% 25.67/4.37 zip_derived_cl25961, zip_derived_cl26158,
% 25.67/4.37 zip_derived_cl26158, zip_derived_cl25961, zip_derived_cl25961])).
% 25.67/4.37 thf(knot_17, axiom, (( product @ a17 @ a9 ) = ( a18 ))).
% 25.67/4.37 thf(zip_derived_cl18, plain, (((product @ a17 @ a9) = (a18))),
% 25.67/4.37 inference('cnf', [status(esa)], [knot_17])).
% 25.67/4.37 thf(zip_derived_cl25283, plain, (((a15) = (a17))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl17, zip_derived_cl25253, zip_derived_cl51])).
% 25.67/4.37 thf(zip_derived_cl25466, plain, (((product @ a15 @ a9) = (a18))),
% 25.67/4.37 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl25283])).
% 25.67/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.67/4.37 zip_derived_cl25801])).
% 25.67/4.37 thf(zip_derived_cl25285, plain, (((a9) = (a7))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl44, zip_derived_cl25253, zip_derived_cl9])).
% 25.67/4.37 thf(zip_derived_cl25858, plain, (((a15) = (a7))),
% 25.67/4.37 inference('demod', [status(thm)], [zip_derived_cl25832, zip_derived_cl0])).
% 25.67/4.37 thf(zip_derived_cl25956, plain, (((a9) = (a15))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25285, zip_derived_cl25858])).
% 25.67/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.67/4.37 zip_derived_cl25801])).
% 25.67/4.37 thf(zip_derived_cl26004, plain, (((a9) = (a11))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25956, zip_derived_cl25869])).
% 25.67/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.67/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.67/4.37 thf(zip_derived_cl25288, plain, (((a6) = (a18))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl54, zip_derived_cl25253, zip_derived_cl7])).
% 25.67/4.37 thf(zip_derived_cl25961, plain, (((a1) = (a6))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl7, zip_derived_cl25869, zip_derived_cl23668])).
% 25.67/4.37 thf(zip_derived_cl26005, plain, (((a1) = (a18))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25288, zip_derived_cl25961])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26177, plain,
% 25.67/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @
% 25.67/4.37 a5 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5 @ a8 @ a1 @ a8 @ a1 @ a8 @ a1 @ a1 @
% 25.67/4.37 a1 @ a1 @ a1 @ a1 @ a1)
% 25.67/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a5 @ a1 @
% 25.67/4.37 a8 @ a1 @ a1 @ a8 @ a1 @ a8 @ a5 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @
% 25.67/4.37 a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl26165, zip_derived_cl26167,
% 25.67/4.37 zip_derived_cl26167, zip_derived_cl26167,
% 25.67/4.37 zip_derived_cl26167, zip_derived_cl26167,
% 25.67/4.37 zip_derived_cl26167, zip_derived_cl26167,
% 25.67/4.37 zip_derived_cl26167, zip_derived_cl26167,
% 25.67/4.37 zip_derived_cl26167, zip_derived_cl26167,
% 25.67/4.37 zip_derived_cl26167, zip_derived_cl26167,
% 25.67/4.37 zip_derived_cl26167, zip_derived_cl26167, zip_derived_cl26167])).
% 25.67/4.37 thf(zip_derived_cl23667, plain, (((product @ a1 @ a11) = (a5))),
% 25.67/4.37 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl23666])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.67/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.67/4.37 thf(zip_derived_cl26168, plain, (((a1) = (a5))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl23667, zip_derived_cl26167, zip_derived_cl0])).
% 25.67/4.37 thf(zip_derived_cl26168, plain, (((a1) = (a5))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl23667, zip_derived_cl26167, zip_derived_cl0])).
% 25.67/4.37 thf(zip_derived_cl26168, plain, (((a1) = (a5))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl23667, zip_derived_cl26167, zip_derived_cl0])).
% 25.67/4.37 thf(zip_derived_cl26168, plain, (((a1) = (a5))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl23667, zip_derived_cl26167, zip_derived_cl0])).
% 25.67/4.37 thf(zip_derived_cl26325, plain,
% 25.67/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @
% 25.67/4.37 a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a8 @ a1 @ a8 @ a1 @ a8 @ a1 @ a1 @
% 25.67/4.37 a1 @ a1 @ a1 @ a1 @ a1)
% 25.67/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @
% 25.67/4.37 a8 @ a1 @ a1 @ a8 @ a1 @ a8 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @
% 25.67/4.37 a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl26177, zip_derived_cl26168,
% 25.67/4.37 zip_derived_cl26168, zip_derived_cl26168, zip_derived_cl26168])).
% 25.67/4.37 thf(zip_derived_cl50, plain, (((product @ a15 @ a17) = (a14))),
% 25.67/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 25.67/4.37 thf(zip_derived_cl16, plain, (((product @ a15 @ a5) = (a16))),
% 25.67/4.37 inference('cnf', [status(esa)], [knot_15])).
% 25.67/4.37 thf(zip_derived_cl2, plain,
% 25.67/4.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 25.67/4.37 ((product @ (product @ X0 @ X2) @ X1)
% 25.67/4.37 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 25.67/4.37 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 25.67/4.37 thf(zip_derived_cl100, plain,
% 25.67/4.37 (![X0 : $i]:
% 25.67/4.37 ((product @ (product @ a15 @ X0) @ a5)
% 25.67/4.37 = (product @ a16 @ (product @ X0 @ a5)))),
% 25.67/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl2])).
% 25.67/4.37 thf(zip_derived_cl6690, plain,
% 25.67/4.37 (((product @ a14 @ a5) = (product @ a16 @ (product @ a17 @ a5)))),
% 25.67/4.37 inference('s_sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl100])).
% 25.67/4.37 thf(zip_derived_cl25283, plain, (((a15) = (a17))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl17, zip_derived_cl25253, zip_derived_cl51])).
% 25.67/4.37 thf(zip_derived_cl16, plain, (((product @ a15 @ a5) = (a16))),
% 25.67/4.37 inference('cnf', [status(esa)], [knot_15])).
% 25.67/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.67/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.67/4.37 thf(zip_derived_cl25501, plain, (((product @ a14 @ a5) = (a16))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl6690, zip_derived_cl25283, zip_derived_cl16,
% 25.67/4.37 zip_derived_cl0])).
% 25.67/4.37 thf(zip_derived_cl25555, plain, (((a14) = (a15))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25318, zip_derived_cl25283])).
% 25.67/4.37 thf(zip_derived_cl25869, plain, (((a15) = (a11))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25848, zip_derived_cl0, zip_derived_cl0,
% 25.67/4.37 zip_derived_cl25801])).
% 25.67/4.37 thf(zip_derived_cl25992, plain, (((a14) = (a11))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25555, zip_derived_cl25869])).
% 25.67/4.37 thf(zip_derived_cl26167, plain, (((a11) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25466, zip_derived_cl25869,
% 25.67/4.37 zip_derived_cl26004, zip_derived_cl0, zip_derived_cl26005])).
% 25.67/4.37 thf(zip_derived_cl26173, plain, (((a14) = (a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25992, zip_derived_cl26167])).
% 25.67/4.37 thf(zip_derived_cl26168, plain, (((a1) = (a5))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl23667, zip_derived_cl26167, zip_derived_cl0])).
% 25.67/4.37 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 25.67/4.37 inference('cnf', [status(esa)], [involutory_quandle])).
% 25.67/4.37 thf(zip_derived_cl25955, plain, (((a16) = (a8))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25281, zip_derived_cl25858, zip_derived_cl16])).
% 25.67/4.37 thf(zip_derived_cl26331, plain, (((a1) = (a8))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25501, zip_derived_cl26173,
% 25.67/4.37 zip_derived_cl26168, zip_derived_cl0, zip_derived_cl25955])).
% 25.67/4.37 thf(zip_derived_cl26331, plain, (((a1) = (a8))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25501, zip_derived_cl26173,
% 25.67/4.37 zip_derived_cl26168, zip_derived_cl0, zip_derived_cl25955])).
% 25.67/4.37 thf(zip_derived_cl26331, plain, (((a1) = (a8))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25501, zip_derived_cl26173,
% 25.67/4.37 zip_derived_cl26168, zip_derived_cl0, zip_derived_cl25955])).
% 25.67/4.37 thf(zip_derived_cl26331, plain, (((a1) = (a8))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25501, zip_derived_cl26173,
% 25.67/4.37 zip_derived_cl26168, zip_derived_cl0, zip_derived_cl25955])).
% 25.67/4.37 thf(zip_derived_cl26331, plain, (((a1) = (a8))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25501, zip_derived_cl26173,
% 25.67/4.37 zip_derived_cl26168, zip_derived_cl0, zip_derived_cl25955])).
% 25.67/4.37 thf(zip_derived_cl26331, plain, (((a1) = (a8))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl25501, zip_derived_cl26173,
% 25.67/4.37 zip_derived_cl26168, zip_derived_cl0, zip_derived_cl25955])).
% 25.67/4.37 thf(zip_derived_cl26334, plain,
% 25.67/4.37 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @
% 25.67/4.37 a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @
% 25.67/4.37 a1 @ a1 @ a1 @ a1 @ a1)
% 25.67/4.37 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @
% 25.67/4.37 a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @
% 25.67/4.37 a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1))),
% 25.67/4.37 inference('demod', [status(thm)],
% 25.67/4.37 [zip_derived_cl26325, zip_derived_cl26331,
% 25.67/4.37 zip_derived_cl26331, zip_derived_cl26331,
% 25.67/4.37 zip_derived_cl26331, zip_derived_cl26331, zip_derived_cl26331])).
% 25.67/4.37 thf(zip_derived_cl26335, plain, ($false),
% 25.67/4.37 inference('simplify', [status(thm)], [zip_derived_cl26334])).
% 25.67/4.37
% 25.67/4.37 % SZS output end Refutation
% 25.67/4.37
% 25.67/4.37
% 25.67/4.37 % Terminating...
% 26.41/4.54 % Runner terminated.
% 26.41/4.54 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------