TSTP Solution File: TOP053-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : TOP053-1 : 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.lz3sMYN0x4 true
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 06:04:01 EDT 2023
% Result : Unsatisfiable 1.57s 0.97s
% Output : Refutation 1.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : TOP053-1 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lz3sMYN0x4 true
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 00:15:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.57/0.97 % Solved by fo/fo6_bce.sh.
% 1.57/0.97 % BCE start: 19
% 1.57/0.97 % BCE eliminated: 0
% 1.57/0.97 % PE start: 19
% 1.57/0.97 logic: eq
% 1.57/0.97 % PE eliminated: 0
% 1.57/0.97 % done 190 iterations in 0.240s
% 1.57/0.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.57/0.97 % SZS output start Refutation
% 1.57/0.97 thf(a4_type, type, a4: $i).
% 1.57/0.97 thf(a7_type, type, a7: $i).
% 1.57/0.97 thf(tuple_type, type, tuple: $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.57/0.97 $i > $i > $i > $i > $i > $i).
% 1.57/0.97 thf(a13_type, type, a13: $i).
% 1.57/0.97 thf(a9_type, type, a9: $i).
% 1.57/0.97 thf(a3_type, type, a3: $i).
% 1.57/0.97 thf(a2_type, type, a2: $i).
% 1.57/0.97 thf(a15_type, type, a15: $i).
% 1.57/0.97 thf(product_type, type, product: $i > $i > $i).
% 1.57/0.97 thf(a14_type, type, a14: $i).
% 1.57/0.97 thf(a11_type, type, a11: $i).
% 1.57/0.97 thf(a6_type, type, a6: $i).
% 1.57/0.97 thf(a5_type, type, a5: $i).
% 1.57/0.97 thf(a1_type, type, a1: $i).
% 1.57/0.97 thf(a10_type, type, a10: $i).
% 1.57/0.97 thf(a12_type, type, a12: $i).
% 1.57/0.97 thf(a8_type, type, a8: $i).
% 1.57/0.97 thf(goal, conjecture,
% 1.57/0.97 (( tuple @
% 1.57/0.97 a1 @ a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a8 @ a9 @ a10 @ a11 @ a12 @ a13 @ a14 ) =
% 1.57/0.97 ( tuple @
% 1.57/0.97 a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a8 @ a9 @ a10 @ a11 @ a12 @ a13 @ a14 @
% 1.57/0.97 a15 ))).
% 1.57/0.97 thf(zf_stmt_0, negated_conjecture,
% 1.57/0.97 (( tuple @
% 1.57/0.97 a1 @ a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a8 @ a9 @ a10 @ a11 @ a12 @ a13 @ a14 ) !=
% 1.57/0.97 ( tuple @
% 1.57/0.97 a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a8 @ a9 @ a10 @ a11 @ a12 @ a13 @ a14 @
% 1.57/0.97 a15 )),
% 1.57/0.97 inference('cnf.neg', [status(esa)], [goal])).
% 1.57/0.97 thf(zip_derived_cl18, plain,
% 1.57/0.97 (((tuple @ a1 @ a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a8 @ a9 @ a10 @ a11 @
% 1.57/0.97 a12 @ a13 @ a14)
% 1.57/0.97 != (tuple @ a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a8 @ a9 @ a10 @ a11 @ a12 @
% 1.57/0.97 a13 @ a14 @ a15))),
% 1.57/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.57/0.97 thf(knot_16, axiom, (( product @ a11 @ a10 ) = ( a1 ))).
% 1.57/0.97 thf(zip_derived_cl17, plain, (((product @ a11 @ a10) = (a1))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_16])).
% 1.57/0.97 thf(involutory_quandle_01, axiom,
% 1.57/0.97 (( product @ ( product @ X @ Y ) @ Y ) = ( X ))).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl76, plain, (((product @ a1 @ a10) = (a11))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.57/0.97 thf(knot, axiom, (( product @ a1 @ a2 ) = ( a3 ))).
% 1.57/0.97 thf(zip_derived_cl3, plain, (((product @ a1 @ a2) = (a3))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot])).
% 1.57/0.97 thf(involutory_quandle_02, axiom,
% 1.57/0.97 (( product @ ( product @ X @ Y ) @ Z ) =
% 1.57/0.97 ( product @ ( product @ X @ Z ) @ ( product @ Y @ Z ) ))).
% 1.57/0.97 thf(zip_derived_cl2, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ X2) @ X1)
% 1.57/0.97 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.57/0.97 thf(zip_derived_cl34, plain,
% 1.57/0.97 (![X0 : $i]:
% 1.57/0.97 ((product @ (product @ a1 @ X0) @ a2)
% 1.57/0.97 = (product @ a3 @ (product @ X0 @ a2)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.57/0.97 thf(zip_derived_cl746, plain,
% 1.57/0.97 (((product @ a11 @ a2) = (product @ a3 @ (product @ a10 @ a2)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl34])).
% 1.57/0.97 thf(knot_06, axiom, (( product @ a8 @ a2 ) = ( a9 ))).
% 1.57/0.97 thf(zip_derived_cl7, plain, (((product @ a8 @ a2) = (a9))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_06])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl46, plain, (((product @ a9 @ a2) = (a8))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl3, plain, (((product @ a1 @ a2) = (a3))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot])).
% 1.57/0.97 thf(zip_derived_cl2, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ X2) @ X1)
% 1.57/0.97 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.57/0.97 thf(zip_derived_cl30, plain,
% 1.57/0.97 (![X0 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ a1) @ a2)
% 1.57/0.97 = (product @ (product @ X0 @ a2) @ a3))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.57/0.97 thf(zip_derived_cl499, plain,
% 1.57/0.97 (((product @ (product @ a9 @ a1) @ a2) = (product @ a8 @ a3))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl30])).
% 1.57/0.97 thf(knot_07, axiom, (( product @ a9 @ a1 ) = ( a10 ))).
% 1.57/0.97 thf(zip_derived_cl8, plain, (((product @ a9 @ a1) = (a10))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_07])).
% 1.57/0.97 thf(knot_05, axiom, (( product @ a7 @ a3 ) = ( a8 ))).
% 1.57/0.97 thf(zip_derived_cl6, plain, (((product @ a7 @ a3) = (a8))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_05])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl43, plain, (((product @ a8 @ a3) = (a7))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl501, plain, (((product @ a10 @ a2) = (a7))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl499, zip_derived_cl8, zip_derived_cl43])).
% 1.57/0.97 thf(zip_derived_cl749, plain, (((product @ a11 @ a2) = (product @ a3 @ a7))),
% 1.57/0.97 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl501])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl877, plain,
% 1.57/0.97 (((product @ (product @ a3 @ a7) @ a2) = (a11))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl749, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl2, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ X2) @ X1)
% 1.57/0.97 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.57/0.97 thf(zip_derived_cl32, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/0.97 ((product @ (product @ (product @ X0 @ X1) @ X2) @ X1)
% 1.57/0.97 = (product @ X0 @ (product @ X2 @ X1)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.57/0.97 thf(zip_derived_cl998, plain,
% 1.57/0.97 (((product @ a11 @ a7) = (product @ a3 @ (product @ a2 @ a7)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl877, zip_derived_cl32])).
% 1.57/0.97 thf(knot_15, axiom, (( product @ a4 @ a7 ) = ( a11 ))).
% 1.57/0.97 thf(zip_derived_cl16, plain, (((product @ a4 @ a7) = (a11))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_15])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl73, plain, (((product @ a11 @ a7) = (a4))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 1.57/0.97 thf(knot_11, axiom, (( product @ a6 @ a7 ) = ( a2 ))).
% 1.57/0.97 thf(zip_derived_cl12, plain, (((product @ a6 @ a7) = (a2))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_11])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl61, plain, (((product @ a2 @ a7) = (a6))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl1002, plain, (((a4) = (product @ a3 @ a6))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl998, zip_derived_cl73, zip_derived_cl61])).
% 1.57/0.97 thf(knot_03, axiom, (( product @ a3 @ a4 ) = ( a5 ))).
% 1.57/0.97 thf(zip_derived_cl4, plain, (((product @ a3 @ a4) = (a5))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_03])).
% 1.57/0.97 thf(zip_derived_cl2, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ X2) @ X1)
% 1.57/0.97 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.57/0.97 thf(zip_derived_cl38, plain,
% 1.57/0.97 (![X0 : $i]:
% 1.57/0.97 ((product @ (product @ a3 @ X0) @ a4)
% 1.57/0.97 = (product @ a5 @ (product @ X0 @ a4)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 1.57/0.97 thf(zip_derived_cl1015, plain,
% 1.57/0.97 (((product @ a4 @ a4) = (product @ a5 @ (product @ a6 @ a4)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1002, zip_derived_cl38])).
% 1.57/0.97 thf(involutory_quandle, axiom, (( product @ X @ X ) = ( X ))).
% 1.57/0.97 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.57/0.97 thf(zip_derived_cl1016, plain,
% 1.57/0.97 (((a4) = (product @ a5 @ (product @ a6 @ a4)))),
% 1.57/0.97 inference('demod', [status(thm)], [zip_derived_cl1015, zip_derived_cl0])).
% 1.57/0.97 thf(knot_04, axiom, (( product @ a5 @ a6 ) = ( a7 ))).
% 1.57/0.97 thf(zip_derived_cl5, plain, (((product @ a5 @ a6) = (a7))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_04])).
% 1.57/0.97 thf(zip_derived_cl2, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ X2) @ X1)
% 1.57/0.97 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.57/0.97 thf(zip_derived_cl41, plain,
% 1.57/0.97 (![X0 : $i]:
% 1.57/0.97 ((product @ (product @ a5 @ X0) @ a6)
% 1.57/0.97 = (product @ a7 @ (product @ X0 @ a6)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 1.57/0.97 thf(zip_derived_cl1129, plain,
% 1.57/0.97 (((product @ a4 @ a6)
% 1.57/0.97 = (product @ a7 @ (product @ (product @ a6 @ a4) @ a6)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1016, zip_derived_cl41])).
% 1.57/0.97 thf(zip_derived_cl1002, plain, (((a4) = (product @ a3 @ a6))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl998, zip_derived_cl73, zip_derived_cl61])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl1003, plain, (((product @ a4 @ a6) = (a3))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1002, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.57/0.97 thf(zip_derived_cl2, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ X2) @ X1)
% 1.57/0.97 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.57/0.97 thf(zip_derived_cl31, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ X1) @ X0)
% 1.57/0.97 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.57/0.97 thf(zip_derived_cl1003, plain, (((product @ a4 @ a6) = (a3))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1002, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl1135, plain,
% 1.57/0.97 (((a3) = (product @ a7 @ (product @ a6 @ a3)))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1129, zip_derived_cl1003, zip_derived_cl31,
% 1.57/0.97 zip_derived_cl1003])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl2, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ X2) @ X1)
% 1.57/0.97 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.57/0.97 thf(zip_derived_cl28, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/0.97 ((product @ (product @ X2 @ (product @ X0 @ X1)) @ X1)
% 1.57/0.97 = (product @ (product @ X2 @ X1) @ X0))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.57/0.97 thf(zip_derived_cl1341, plain,
% 1.57/0.97 (((product @ a3 @ a3) = (product @ (product @ a7 @ a3) @ a6))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1135, zip_derived_cl28])).
% 1.57/0.97 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.57/0.97 thf(zip_derived_cl6, plain, (((product @ a7 @ a3) = (a8))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_05])).
% 1.57/0.97 thf(zip_derived_cl1346, plain, (((a3) = (product @ a8 @ a6))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1341, zip_derived_cl0, zip_derived_cl6])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl1348, plain, (((product @ a3 @ a6) = (a8))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1346, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl1002, plain, (((a4) = (product @ a3 @ a6))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl998, zip_derived_cl73, zip_derived_cl61])).
% 1.57/0.97 thf(zip_derived_cl1362, plain, (((a4) = (a8))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1348, zip_derived_cl1002])).
% 1.57/0.97 thf(zip_derived_cl1362, plain, (((a4) = (a8))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1348, zip_derived_cl1002])).
% 1.57/0.97 thf(zip_derived_cl1369, plain,
% 1.57/0.97 (((tuple @ a1 @ a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a4 @ a9 @ a10 @ a11 @
% 1.57/0.97 a12 @ a13 @ a14)
% 1.57/0.97 != (tuple @ a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a4 @ a9 @ a10 @ a11 @ a12 @
% 1.57/0.97 a13 @ a14 @ a15))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl18, zip_derived_cl1362, zip_derived_cl1362])).
% 1.57/0.97 thf(knot_14, axiom, (( product @ a15 @ a8 ) = ( a4 ))).
% 1.57/0.97 thf(zip_derived_cl15, plain, (((product @ a15 @ a8) = (a4))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_14])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl70, plain, (((product @ a4 @ a8) = (a15))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl1362, plain, (((a4) = (a8))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1348, zip_derived_cl1002])).
% 1.57/0.97 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.57/0.97 thf(zip_derived_cl1377, plain, (((a4) = (a15))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl70, zip_derived_cl1362, zip_derived_cl0])).
% 1.57/0.97 thf(zip_derived_cl1381, plain,
% 1.57/0.97 (((tuple @ a1 @ a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a4 @ a9 @ a10 @ a11 @
% 1.57/0.97 a12 @ a13 @ a14)
% 1.57/0.97 != (tuple @ a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a4 @ a9 @ a10 @ a11 @ a12 @
% 1.57/0.97 a13 @ a14 @ a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1369, zip_derived_cl1377])).
% 1.57/0.97 thf(knot_13, axiom, (( product @ a14 @ a3 ) = ( a15 ))).
% 1.57/0.97 thf(zip_derived_cl14, plain, (((product @ a14 @ a3) = (a15))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_13])).
% 1.57/0.97 thf(zip_derived_cl1377, plain, (((a4) = (a15))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl70, zip_derived_cl1362, zip_derived_cl0])).
% 1.57/0.97 thf(zip_derived_cl1379, plain, (((product @ a14 @ a3) = (a4))),
% 1.57/0.97 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl1377])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl1532, plain, (((product @ a4 @ a3) = (a14))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1379, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl43, plain, (((product @ a8 @ a3) = (a7))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl1362, plain, (((a4) = (a8))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1348, zip_derived_cl1002])).
% 1.57/0.97 thf(zip_derived_cl1370, plain, (((product @ a4 @ a3) = (a7))),
% 1.57/0.97 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl1362])).
% 1.57/0.97 thf(zip_derived_cl1544, plain, (((a7) = (a14))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1532, zip_derived_cl1370])).
% 1.57/0.97 thf(zip_derived_cl1544, plain, (((a7) = (a14))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1532, zip_derived_cl1370])).
% 1.57/0.97 thf(zip_derived_cl1548, plain,
% 1.57/0.97 (((tuple @ a1 @ a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a4 @ a9 @ a10 @ a11 @
% 1.57/0.97 a12 @ a13 @ a7)
% 1.57/0.97 != (tuple @ a2 @ a3 @ a4 @ a5 @ a6 @ a7 @ a4 @ a9 @ a10 @ a11 @ a12 @
% 1.57/0.97 a13 @ a7 @ a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1381, zip_derived_cl1544, zip_derived_cl1544])).
% 1.57/0.97 thf(knot_12, axiom, (( product @ a2 @ a12 ) = ( a14 ))).
% 1.57/0.97 thf(zip_derived_cl13, plain, (((product @ a2 @ a12) = (a14))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_12])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl64, plain, (((product @ a14 @ a12) = (a2))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl1544, plain, (((a7) = (a14))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1532, zip_derived_cl1370])).
% 1.57/0.97 thf(zip_derived_cl1546, plain, (((product @ a7 @ a12) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl1544])).
% 1.57/0.97 thf(knot_09, axiom, (( product @ a12 @ a3 ) = ( a13 ))).
% 1.57/0.97 thf(zip_derived_cl10, plain, (((product @ a12 @ a3) = (a13))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_09])).
% 1.57/0.97 thf(zip_derived_cl2, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ X2) @ X1)
% 1.57/0.97 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.57/0.97 thf(zip_derived_cl57, plain,
% 1.57/0.97 (![X0 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ a12) @ a3)
% 1.57/0.97 = (product @ (product @ X0 @ a3) @ a13))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 1.57/0.97 thf(zip_derived_cl1730, plain,
% 1.57/0.97 (((product @ a2 @ a3) = (product @ (product @ a7 @ a3) @ a13))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1546, zip_derived_cl57])).
% 1.57/0.97 thf(zip_derived_cl6, plain, (((product @ a7 @ a3) = (a8))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_05])).
% 1.57/0.97 thf(zip_derived_cl1362, plain, (((a4) = (a8))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1348, zip_derived_cl1002])).
% 1.57/0.97 thf(zip_derived_cl1365, plain, (((product @ a7 @ a3) = (a4))),
% 1.57/0.97 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl1362])).
% 1.57/0.97 thf(zip_derived_cl1003, plain, (((product @ a4 @ a6) = (a3))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1002, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl31, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ X1) @ X0)
% 1.57/0.97 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.57/0.97 thf(zip_derived_cl1059, plain,
% 1.57/0.97 (((product @ a3 @ a4) = (product @ a4 @ (product @ a6 @ a4)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1003, zip_derived_cl31])).
% 1.57/0.97 thf(zip_derived_cl4, plain, (((product @ a3 @ a4) = (a5))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_03])).
% 1.57/0.97 thf(zip_derived_cl1069, plain,
% 1.57/0.97 (((a5) = (product @ a4 @ (product @ a6 @ a4)))),
% 1.57/0.97 inference('demod', [status(thm)], [zip_derived_cl1059, zip_derived_cl4])).
% 1.57/0.97 thf(knot_10, axiom, (( product @ a13 @ a8 ) = ( a6 ))).
% 1.57/0.97 thf(zip_derived_cl11, plain, (((product @ a13 @ a8) = (a6))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_10])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl58, plain, (((product @ a6 @ a8) = (a13))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl1362, plain, (((a4) = (a8))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1348, zip_derived_cl1002])).
% 1.57/0.97 thf(zip_derived_cl1376, plain, (((product @ a6 @ a4) = (a13))),
% 1.57/0.97 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl1362])).
% 1.57/0.97 thf(zip_derived_cl1482, plain, (((a5) = (product @ a4 @ a13))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1069, zip_derived_cl1376])).
% 1.57/0.97 thf(zip_derived_cl1736, plain, (((product @ a2 @ a3) = (a5))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1730, zip_derived_cl1365, zip_derived_cl1482])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl1743, plain, (((product @ a5 @ a3) = (a2))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1736, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl41, plain,
% 1.57/0.97 (![X0 : $i]:
% 1.57/0.97 ((product @ (product @ a5 @ X0) @ a6)
% 1.57/0.97 = (product @ a7 @ (product @ X0 @ a6)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 1.57/0.97 thf(zip_derived_cl1772, plain,
% 1.57/0.97 (((product @ a2 @ a6) = (product @ a7 @ (product @ a3 @ a6)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1743, zip_derived_cl41])).
% 1.57/0.97 thf(zip_derived_cl1002, plain, (((a4) = (product @ a3 @ a6))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl998, zip_derived_cl73, zip_derived_cl61])).
% 1.57/0.97 thf(zip_derived_cl1774, plain, (((product @ a2 @ a6) = (product @ a7 @ a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1772, zip_derived_cl1002])).
% 1.57/0.97 thf(zip_derived_cl4, plain, (((product @ a3 @ a4) = (a5))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_03])).
% 1.57/0.97 thf(zip_derived_cl2, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ X2) @ X1)
% 1.57/0.97 = (product @ (product @ X0 @ X1) @ (product @ X2 @ X1)))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_02])).
% 1.57/0.97 thf(zip_derived_cl39, plain,
% 1.57/0.97 (![X0 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ a3) @ a4)
% 1.57/0.97 = (product @ (product @ X0 @ a4) @ a5))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 1.57/0.97 thf(zip_derived_cl2023, plain,
% 1.57/0.97 (((product @ (product @ a7 @ a3) @ a4)
% 1.57/0.97 = (product @ (product @ a2 @ a6) @ a5))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1774, zip_derived_cl39])).
% 1.57/0.97 thf(zip_derived_cl1365, plain, (((product @ a7 @ a3) = (a4))),
% 1.57/0.97 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl1362])).
% 1.57/0.97 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.57/0.97 thf(zip_derived_cl12, plain, (((product @ a6 @ a7) = (a2))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_11])).
% 1.57/0.97 thf(zip_derived_cl31, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ X1) @ X0)
% 1.57/0.97 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.57/0.97 thf(zip_derived_cl545, plain,
% 1.57/0.97 (((product @ a2 @ a6) = (product @ a6 @ (product @ a7 @ a6)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl31])).
% 1.57/0.97 thf(zip_derived_cl5, plain, (((product @ a5 @ a6) = (a7))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_04])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl40, plain, (((product @ a7 @ a6) = (a5))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl572, plain, (((product @ a2 @ a6) = (product @ a6 @ a5))),
% 1.57/0.97 inference('demod', [status(thm)], [zip_derived_cl545, zip_derived_cl40])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl820, plain,
% 1.57/0.97 (((product @ (product @ a2 @ a6) @ a5) = (a6))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl572, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl2025, plain, (((a4) = (a6))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2023, zip_derived_cl1365, zip_derived_cl0,
% 1.57/0.97 zip_derived_cl820])).
% 1.57/0.97 thf(zip_derived_cl2025, plain, (((a4) = (a6))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2023, zip_derived_cl1365, zip_derived_cl0,
% 1.57/0.97 zip_derived_cl820])).
% 1.57/0.97 thf(zip_derived_cl2047, plain,
% 1.57/0.97 (((tuple @ a1 @ a2 @ a3 @ a4 @ a5 @ a4 @ a7 @ a4 @ a9 @ a10 @ a11 @
% 1.57/0.97 a12 @ a13 @ a7)
% 1.57/0.97 != (tuple @ a2 @ a3 @ a4 @ a5 @ a4 @ a7 @ a4 @ a9 @ a10 @ a11 @ a12 @
% 1.57/0.97 a13 @ a7 @ a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1548, zip_derived_cl2025, zip_derived_cl2025])).
% 1.57/0.97 thf(zip_derived_cl5, plain, (((product @ a5 @ a6) = (a7))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_04])).
% 1.57/0.97 thf(zip_derived_cl2025, plain, (((a4) = (a6))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2023, zip_derived_cl1365, zip_derived_cl0,
% 1.57/0.97 zip_derived_cl820])).
% 1.57/0.97 thf(zip_derived_cl4, plain, (((product @ a3 @ a4) = (a5))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_03])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl37, plain, (((product @ a5 @ a4) = (a3))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl2026, plain, (((a3) = (a7))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl5, zip_derived_cl2025, zip_derived_cl37])).
% 1.57/0.97 thf(zip_derived_cl2026, plain, (((a3) = (a7))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl5, zip_derived_cl2025, zip_derived_cl37])).
% 1.57/0.97 thf(zip_derived_cl2026, plain, (((a3) = (a7))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl5, zip_derived_cl2025, zip_derived_cl37])).
% 1.57/0.97 thf(zip_derived_cl2026, plain, (((a3) = (a7))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl5, zip_derived_cl2025, zip_derived_cl37])).
% 1.57/0.97 thf(zip_derived_cl2064, plain,
% 1.57/0.97 (((tuple @ a1 @ a2 @ a3 @ a4 @ a5 @ a4 @ a3 @ a4 @ a9 @ a10 @ a11 @
% 1.57/0.97 a12 @ a13 @ a3)
% 1.57/0.97 != (tuple @ a2 @ a3 @ a4 @ a5 @ a4 @ a3 @ a4 @ a9 @ a10 @ a11 @ a12 @
% 1.57/0.97 a13 @ a3 @ a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2047, zip_derived_cl2026, zip_derived_cl2026,
% 1.57/0.97 zip_derived_cl2026, zip_derived_cl2026])).
% 1.57/0.97 thf(zip_derived_cl820, plain,
% 1.57/0.97 (((product @ (product @ a2 @ a6) @ a5) = (a6))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl572, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl2025, plain, (((a4) = (a6))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2023, zip_derived_cl1365, zip_derived_cl0,
% 1.57/0.97 zip_derived_cl820])).
% 1.57/0.97 thf(zip_derived_cl39, plain,
% 1.57/0.97 (![X0 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ a3) @ a4)
% 1.57/0.97 = (product @ (product @ X0 @ a4) @ a5))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 1.57/0.97 thf(zip_derived_cl1736, plain, (((product @ a2 @ a3) = (a5))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1730, zip_derived_cl1365, zip_derived_cl1482])).
% 1.57/0.97 thf(zip_derived_cl37, plain, (((product @ a5 @ a4) = (a3))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl2025, plain, (((a4) = (a6))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2023, zip_derived_cl1365, zip_derived_cl0,
% 1.57/0.97 zip_derived_cl820])).
% 1.57/0.97 thf(zip_derived_cl2034, plain, (((a3) = (a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl820, zip_derived_cl2025, zip_derived_cl39,
% 1.57/0.97 zip_derived_cl1736, zip_derived_cl37, zip_derived_cl2025])).
% 1.57/0.97 thf(zip_derived_cl2034, plain, (((a3) = (a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl820, zip_derived_cl2025, zip_derived_cl39,
% 1.57/0.97 zip_derived_cl1736, zip_derived_cl37, zip_derived_cl2025])).
% 1.57/0.97 thf(zip_derived_cl2034, plain, (((a3) = (a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl820, zip_derived_cl2025, zip_derived_cl39,
% 1.57/0.97 zip_derived_cl1736, zip_derived_cl37, zip_derived_cl2025])).
% 1.57/0.97 thf(zip_derived_cl12, plain, (((product @ a6 @ a7) = (a2))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_11])).
% 1.57/0.97 thf(zip_derived_cl2025, plain, (((a4) = (a6))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2023, zip_derived_cl1365, zip_derived_cl0,
% 1.57/0.97 zip_derived_cl820])).
% 1.57/0.97 thf(zip_derived_cl16, plain, (((product @ a4 @ a7) = (a11))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_15])).
% 1.57/0.97 thf(zip_derived_cl2027, plain, (((a11) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl12, zip_derived_cl2025, zip_derived_cl16])).
% 1.57/0.97 thf(zip_derived_cl2034, plain, (((a3) = (a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl820, zip_derived_cl2025, zip_derived_cl39,
% 1.57/0.97 zip_derived_cl1736, zip_derived_cl37, zip_derived_cl2025])).
% 1.57/0.97 thf(zip_derived_cl2034, plain, (((a3) = (a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl820, zip_derived_cl2025, zip_derived_cl39,
% 1.57/0.97 zip_derived_cl1736, zip_derived_cl37, zip_derived_cl2025])).
% 1.57/0.97 thf(zip_derived_cl2034, plain, (((a3) = (a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl820, zip_derived_cl2025, zip_derived_cl39,
% 1.57/0.97 zip_derived_cl1736, zip_derived_cl37, zip_derived_cl2025])).
% 1.57/0.97 thf(zip_derived_cl2027, plain, (((a11) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl12, zip_derived_cl2025, zip_derived_cl16])).
% 1.57/0.97 thf(zip_derived_cl2034, plain, (((a3) = (a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl820, zip_derived_cl2025, zip_derived_cl39,
% 1.57/0.97 zip_derived_cl1736, zip_derived_cl37, zip_derived_cl2025])).
% 1.57/0.97 thf(zip_derived_cl2087, plain,
% 1.57/0.97 (((tuple @ a1 @ a2 @ a3 @ a3 @ a5 @ a3 @ a3 @ a3 @ a9 @ a10 @ a2 @ a12 @
% 1.57/0.97 a13 @ a3)
% 1.57/0.97 != (tuple @ a2 @ a3 @ a3 @ a5 @ a3 @ a3 @ a3 @ a9 @ a10 @ a2 @ a12 @
% 1.57/0.97 a13 @ a3 @ a3))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2064, zip_derived_cl2034, zip_derived_cl2034,
% 1.57/0.97 zip_derived_cl2034, zip_derived_cl2027, zip_derived_cl2034,
% 1.57/0.97 zip_derived_cl2034, zip_derived_cl2034, zip_derived_cl2027,
% 1.57/0.97 zip_derived_cl2034])).
% 1.57/0.97 thf(zip_derived_cl1002, plain, (((a4) = (product @ a3 @ a6))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl998, zip_derived_cl73, zip_derived_cl61])).
% 1.57/0.97 thf(zip_derived_cl2025, plain, (((a4) = (a6))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2023, zip_derived_cl1365, zip_derived_cl0,
% 1.57/0.97 zip_derived_cl820])).
% 1.57/0.97 thf(zip_derived_cl4, plain, (((product @ a3 @ a4) = (a5))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_03])).
% 1.57/0.97 thf(zip_derived_cl2036, plain, (((a4) = (a5))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1002, zip_derived_cl2025, zip_derived_cl4])).
% 1.57/0.97 thf(zip_derived_cl2034, plain, (((a3) = (a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl820, zip_derived_cl2025, zip_derived_cl39,
% 1.57/0.97 zip_derived_cl1736, zip_derived_cl37, zip_derived_cl2025])).
% 1.57/0.97 thf(zip_derived_cl2088, plain, (((a3) = (a5))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2036, zip_derived_cl2034])).
% 1.57/0.97 thf(zip_derived_cl2088, plain, (((a3) = (a5))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2036, zip_derived_cl2034])).
% 1.57/0.97 thf(zip_derived_cl2092, plain,
% 1.57/0.97 (((tuple @ a1 @ a2 @ a3 @ a3 @ a3 @ a3 @ a3 @ a3 @ a9 @ a10 @ a2 @ a12 @
% 1.57/0.97 a13 @ a3)
% 1.57/0.97 != (tuple @ a2 @ a3 @ a3 @ a3 @ a3 @ a3 @ a3 @ a9 @ a10 @ a2 @ a12 @
% 1.57/0.97 a13 @ a3 @ a3))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2087, zip_derived_cl2088, zip_derived_cl2088])).
% 1.57/0.97 thf(zip_derived_cl1376, plain, (((product @ a6 @ a4) = (a13))),
% 1.57/0.97 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl1362])).
% 1.57/0.97 thf(zip_derived_cl2025, plain, (((a4) = (a6))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2023, zip_derived_cl1365, zip_derived_cl0,
% 1.57/0.97 zip_derived_cl820])).
% 1.57/0.97 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.57/0.97 thf(zip_derived_cl2044, plain, (((a4) = (a13))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1376, zip_derived_cl2025, zip_derived_cl0])).
% 1.57/0.97 thf(zip_derived_cl2034, plain, (((a3) = (a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl820, zip_derived_cl2025, zip_derived_cl39,
% 1.57/0.97 zip_derived_cl1736, zip_derived_cl37, zip_derived_cl2025])).
% 1.57/0.97 thf(zip_derived_cl2093, plain, (((a3) = (a13))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2044, zip_derived_cl2034])).
% 1.57/0.97 thf(zip_derived_cl2093, plain, (((a3) = (a13))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2044, zip_derived_cl2034])).
% 1.57/0.97 thf(zip_derived_cl2098, plain,
% 1.57/0.97 (((tuple @ a1 @ a2 @ a3 @ a3 @ a3 @ a3 @ a3 @ a3 @ a9 @ a10 @ a2 @ a12 @
% 1.57/0.97 a3 @ a3)
% 1.57/0.97 != (tuple @ a2 @ a3 @ a3 @ a3 @ a3 @ a3 @ a3 @ a9 @ a10 @ a2 @ a12 @
% 1.57/0.97 a3 @ a3 @ a3))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2092, zip_derived_cl2093, zip_derived_cl2093])).
% 1.57/0.97 thf(zip_derived_cl16, plain, (((product @ a4 @ a7) = (a11))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_15])).
% 1.57/0.97 thf(zip_derived_cl2026, plain, (((a3) = (a7))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl5, zip_derived_cl2025, zip_derived_cl37])).
% 1.57/0.97 thf(zip_derived_cl1370, plain, (((product @ a4 @ a3) = (a7))),
% 1.57/0.97 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl1362])).
% 1.57/0.97 thf(zip_derived_cl2026, plain, (((a3) = (a7))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl5, zip_derived_cl2025, zip_derived_cl37])).
% 1.57/0.97 thf(zip_derived_cl2050, plain, (((a3) = (a11))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl16, zip_derived_cl2026, zip_derived_cl1370,
% 1.57/0.97 zip_derived_cl2026])).
% 1.57/0.97 thf(zip_derived_cl2027, plain, (((a11) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl12, zip_derived_cl2025, zip_derived_cl16])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2100, plain, (((a3) = (a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2050, zip_derived_cl2027])).
% 1.57/0.97 thf(zip_derived_cl2109, plain,
% 1.57/0.97 (((tuple @ a1 @ a2 @ a2 @ a2 @ a2 @ a2 @ a2 @ a2 @ a9 @ a10 @ a2 @ a12 @
% 1.57/0.97 a2 @ a2)
% 1.57/0.97 != (tuple @ a2 @ a2 @ a2 @ a2 @ a2 @ a2 @ a2 @ a9 @ a10 @ a2 @ a12 @
% 1.57/0.97 a2 @ a2 @ a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2098, zip_derived_cl2100, zip_derived_cl2100,
% 1.57/0.97 zip_derived_cl2100, zip_derived_cl2100, zip_derived_cl2100,
% 1.57/0.97 zip_derived_cl2100, zip_derived_cl2100, zip_derived_cl2100,
% 1.57/0.97 zip_derived_cl2100, zip_derived_cl2100, zip_derived_cl2100,
% 1.57/0.97 zip_derived_cl2100, zip_derived_cl2100, zip_derived_cl2100,
% 1.57/0.97 zip_derived_cl2100, zip_derived_cl2100, zip_derived_cl2100])).
% 1.57/0.97 thf(zip_derived_cl501, plain, (((product @ a10 @ a2) = (a7))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl499, zip_derived_cl8, zip_derived_cl43])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl673, plain, (((product @ a7 @ a2) = (a10))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl501, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl2026, plain, (((a3) = (a7))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl5, zip_derived_cl2025, zip_derived_cl37])).
% 1.57/0.97 thf(zip_derived_cl3, plain, (((product @ a1 @ a2) = (a3))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl22, plain, (((product @ a3 @ a2) = (a1))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl2054, plain, (((a1) = (a10))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl673, zip_derived_cl2026, zip_derived_cl22])).
% 1.57/0.97 thf(zip_derived_cl2054, plain, (((a1) = (a10))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl673, zip_derived_cl2026, zip_derived_cl22])).
% 1.57/0.97 thf(zip_derived_cl2117, plain,
% 1.57/0.97 (((tuple @ a1 @ a2 @ a2 @ a2 @ a2 @ a2 @ a2 @ a2 @ a9 @ a1 @ a2 @ a12 @
% 1.57/0.97 a2 @ a2)
% 1.57/0.97 != (tuple @ a2 @ a2 @ a2 @ a2 @ a2 @ a2 @ a2 @ a9 @ a1 @ a2 @ a12 @
% 1.57/0.97 a2 @ a2 @ a2))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2109, zip_derived_cl2054, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl673, plain, (((product @ a7 @ a2) = (a10))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl501, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl31, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]:
% 1.57/0.97 ((product @ (product @ X0 @ X1) @ X0)
% 1.57/0.97 = (product @ X0 @ (product @ X1 @ X0)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.57/0.97 thf(zip_derived_cl714, plain,
% 1.57/0.97 (((product @ a10 @ a7) = (product @ a7 @ (product @ a2 @ a7)))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl673, zip_derived_cl31])).
% 1.57/0.97 thf(zip_derived_cl61, plain, (((product @ a2 @ a7) = (a6))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl40, plain, (((product @ a7 @ a6) = (a5))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl724, plain, (((product @ a10 @ a7) = (a5))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl714, zip_derived_cl61, zip_derived_cl40])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl756, plain, (((product @ a5 @ a7) = (a10))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl724, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl2026, plain, (((a3) = (a7))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl5, zip_derived_cl2025, zip_derived_cl37])).
% 1.57/0.97 thf(zip_derived_cl1743, plain, (((product @ a5 @ a3) = (a2))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1736, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl2057, plain, (((a2) = (a10))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl756, zip_derived_cl2026, zip_derived_cl1743])).
% 1.57/0.97 thf(zip_derived_cl2054, plain, (((a1) = (a10))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl673, zip_derived_cl2026, zip_derived_cl22])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2121, plain,
% 1.57/0.97 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a9 @ a1 @ a1 @ a12 @
% 1.57/0.97 a1 @ a1)
% 1.57/0.97 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a9 @ a1 @ a1 @ a12 @
% 1.57/0.97 a1 @ a1 @ a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2117, zip_derived_cl2118, zip_derived_cl2118,
% 1.57/0.97 zip_derived_cl2118, zip_derived_cl2118, zip_derived_cl2118,
% 1.57/0.97 zip_derived_cl2118, zip_derived_cl2118, zip_derived_cl2118,
% 1.57/0.97 zip_derived_cl2118, zip_derived_cl2118, zip_derived_cl2118,
% 1.57/0.97 zip_derived_cl2118, zip_derived_cl2118, zip_derived_cl2118,
% 1.57/0.97 zip_derived_cl2118, zip_derived_cl2118, zip_derived_cl2118,
% 1.57/0.97 zip_derived_cl2118, zip_derived_cl2118, zip_derived_cl2118,
% 1.57/0.97 zip_derived_cl2118])).
% 1.57/0.97 thf(zip_derived_cl7, plain, (((product @ a8 @ a2) = (a9))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_06])).
% 1.57/0.97 thf(zip_derived_cl1362, plain, (((a4) = (a8))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1348, zip_derived_cl1002])).
% 1.57/0.97 thf(zip_derived_cl1366, plain, (((product @ a4 @ a2) = (a9))),
% 1.57/0.97 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl1362])).
% 1.57/0.97 thf(zip_derived_cl2034, plain, (((a3) = (a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl820, zip_derived_cl2025, zip_derived_cl39,
% 1.57/0.97 zip_derived_cl1736, zip_derived_cl37, zip_derived_cl2025])).
% 1.57/0.97 thf(zip_derived_cl22, plain, (((product @ a3 @ a2) = (a1))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl2081, plain, (((a1) = (a9))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1366, zip_derived_cl2034, zip_derived_cl22])).
% 1.57/0.97 thf(zip_derived_cl2081, plain, (((a1) = (a9))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl1366, zip_derived_cl2034, zip_derived_cl22])).
% 1.57/0.97 thf(zip_derived_cl2127, plain,
% 1.57/0.97 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a12 @
% 1.57/0.97 a1 @ a1)
% 1.57/0.97 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a12 @
% 1.57/0.97 a1 @ a1 @ a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2121, zip_derived_cl2081, zip_derived_cl2081])).
% 1.57/0.97 thf(zip_derived_cl10, plain, (((product @ a12 @ a3) = (a13))),
% 1.57/0.97 inference('cnf', [status(esa)], [knot_09])).
% 1.57/0.97 thf(zip_derived_cl1, plain,
% 1.57/0.97 (![X0 : $i, X1 : $i]: ((product @ (product @ X0 @ X1) @ X1) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle_01])).
% 1.57/0.97 thf(zip_derived_cl55, plain, (((product @ a13 @ a3) = (a12))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl2093, plain, (((a3) = (a13))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2044, zip_derived_cl2034])).
% 1.57/0.97 thf(zip_derived_cl0, plain, (![X0 : $i]: ((product @ X0 @ X0) = (X0))),
% 1.57/0.97 inference('cnf', [status(esa)], [involutory_quandle])).
% 1.57/0.97 thf(zip_derived_cl2095, plain, (((a3) = (a12))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl55, zip_derived_cl2093, zip_derived_cl0])).
% 1.57/0.97 thf(zip_derived_cl37, plain, (((product @ a5 @ a4) = (a3))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl2034, plain, (((a3) = (a4))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl820, zip_derived_cl2025, zip_derived_cl39,
% 1.57/0.97 zip_derived_cl1736, zip_derived_cl37, zip_derived_cl2025])).
% 1.57/0.97 thf(zip_derived_cl1743, plain, (((product @ a5 @ a3) = (a2))),
% 1.57/0.97 inference('s_sup+', [status(thm)], [zip_derived_cl1736, zip_derived_cl1])).
% 1.57/0.97 thf(zip_derived_cl2077, plain, (((a2) = (a3))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl37, zip_derived_cl2034, zip_derived_cl1743])).
% 1.57/0.97 thf(zip_derived_cl2118, plain, (((a2) = (a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2057, zip_derived_cl2054])).
% 1.57/0.97 thf(zip_derived_cl2122, plain, (((a1) = (a3))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2077, zip_derived_cl2118])).
% 1.57/0.97 thf(zip_derived_cl2131, plain, (((a1) = (a12))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2095, zip_derived_cl2122])).
% 1.57/0.97 thf(zip_derived_cl2131, plain, (((a1) = (a12))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2095, zip_derived_cl2122])).
% 1.57/0.97 thf(zip_derived_cl2132, plain,
% 1.57/0.97 (((tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @
% 1.57/0.97 a1 @ a1)
% 1.57/0.97 != (tuple @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @ a1 @
% 1.57/0.97 a1 @ a1 @ a1))),
% 1.57/0.97 inference('demod', [status(thm)],
% 1.57/0.97 [zip_derived_cl2127, zip_derived_cl2131, zip_derived_cl2131])).
% 1.57/0.97 thf(zip_derived_cl2133, plain, ($false),
% 1.57/0.97 inference('simplify', [status(thm)], [zip_derived_cl2132])).
% 1.57/0.97
% 1.57/0.97 % SZS output end Refutation
% 1.57/0.97
% 1.57/0.97
% 1.57/0.97 % Terminating...
% 1.62/1.05 % Runner terminated.
% 1.62/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------