TSTP Solution File: SYN762-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN762-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WbqZmPuTKg true
% Computer : n006.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 04:05:27 EDT 2023
% Result : Unsatisfiable 36.41s 5.77s
% Output : Refutation 36.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN762-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WbqZmPuTKg true
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 18:58:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.76/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.76/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.76/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.76/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.76/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.76/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 36.41/5.77 % Solved by fo/fo1_av.sh.
% 36.41/5.77 % done 5825 iterations in 4.942s
% 36.41/5.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 36.41/5.77 % SZS output start Refutation
% 36.41/5.77 thf(ssPv3_type, type, ssPv3: $i > $o).
% 36.41/5.77 thf(skf1_type, type, skf1: $i > $i).
% 36.41/5.77 thf(ssPv4_type, type, ssPv4: $i > $o).
% 36.41/5.77 thf(ssPv1_type, type, ssPv1: $i > $o).
% 36.41/5.77 thf(ssRr_type, type, ssRr: $i > $i > $o).
% 36.41/5.77 thf(ssPv2_type, type, ssPv2: $i > $o).
% 36.41/5.77 thf(clause1, conjecture, (~( ssRr @ U @ ( skf1 @ U ) ))).
% 36.41/5.77 thf(zf_stmt_0, negated_conjecture, (ssRr @ U @ ( skf1 @ U )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause1])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause8, conjecture,
% 36.41/5.77 (~( ( ssPv4 @ W ) | ( ssPv3 @ W ) | ( ssPv2 @ X ) | ( ssPv1 @ V ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_1, negated_conjecture,
% 36.41/5.77 (( ssPv4 @ W ) | ( ssPv3 @ W ) | ( ssPv2 @ X ) | ( ssPv1 @ V ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause8])).
% 36.41/5.77 thf(zip_derived_cl7, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv2 @ X1)
% 36.41/5.77 | (ssPv1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X2))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 36.41/5.77 thf(zip_derived_cl104, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | (ssPv1 @ X2)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv3 @ X1)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl7])).
% 36.41/5.77 thf(zip_derived_cl126, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ X1 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv3 @ X1)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl104])).
% 36.41/5.77 thf(zip_derived_cl171, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl126])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause30, conjecture,
% 36.41/5.77 (~( ( ssPv3 @ Y ) | ( ssPv3 @ V ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ Y ) ) | ( ~( ssPv4 @ X ) ) | ( ~( ssRr @ W @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_2, negated_conjecture,
% 36.41/5.77 (( ssPv3 @ Y ) | ( ssPv3 @ V ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ Y ) ) | ( ~( ssPv4 @ X ) ) | ( ~( ssRr @ W @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause30])).
% 36.41/5.77 thf(zip_derived_cl29, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X2)
% 36.41/5.77 | ~ (ssRr @ X2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X4)
% 36.41/5.77 | ~ (ssRr @ X4 @ X1))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_2])).
% 36.41/5.77 thf(zip_derived_cl656, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 (~ (ssRr @ X3 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X3)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv3 @ X2)
% 36.41/5.77 | (ssPv3 @ X0))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl29])).
% 36.41/5.77 thf(zip_derived_cl1349, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2)
% 36.41/5.77 | ~ (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ X2))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl656])).
% 36.41/5.77 thf(zip_derived_cl1388, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl1349])).
% 36.41/5.77 thf(zip_derived_cl1389, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1388])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause6, conjecture,
% 36.41/5.77 (~( ( ssPv2 @ W ) | ( ssPv1 @ W ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_3, negated_conjecture,
% 36.41/5.77 (( ssPv2 @ W ) | ( ssPv1 @ W ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause6])).
% 36.41/5.77 thf(zip_derived_cl5, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_3])).
% 36.41/5.77 thf(zip_derived_cl82, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl101, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl1410, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl1389, zip_derived_cl101])).
% 36.41/5.77 thf(zip_derived_cl1417, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1410])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause11, conjecture,
% 36.41/5.77 (~( ( ssPv2 @ W ) | ( ssPv1 @ W ) | ( ssPv1 @ V ) | ( ~( ssPv3 @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_4, negated_conjecture,
% 36.41/5.77 (( ssPv2 @ W ) | ( ssPv1 @ W ) | ( ssPv1 @ V ) | ( ~( ssPv3 @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause11])).
% 36.41/5.77 thf(zip_derived_cl10, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X1))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_4])).
% 36.41/5.77 thf(zip_derived_cl161, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X2)
% 36.41/5.77 | (ssPv1 @ X1)
% 36.41/5.77 | (ssPv2 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl10])).
% 36.41/5.77 thf(zip_derived_cl937, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X1)
% 36.41/5.77 | (ssPv2 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl161])).
% 36.41/5.77 thf(zip_derived_cl941, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl937])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause18, conjecture,
% 36.41/5.77 (~( ( ssPv1 @ W ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv1 @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_5, negated_conjecture,
% 36.41/5.77 (( ssPv1 @ W ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv1 @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause18])).
% 36.41/5.77 thf(zip_derived_cl17, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv1 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X3))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_5])).
% 36.41/5.77 thf(zip_derived_cl151, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv1 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl17])).
% 36.41/5.77 thf(zip_derived_cl165, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv1 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl151])).
% 36.41/5.77 thf(zip_derived_cl168, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl165])).
% 36.41/5.77 thf(zip_derived_cl953, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl941, zip_derived_cl168])).
% 36.41/5.77 thf(zip_derived_cl968, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl953])).
% 36.41/5.77 thf(zip_derived_cl941, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl937])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause3, conjecture,
% 36.41/5.77 (~( ( ssPv3 @ W ) | ( ssPv2 @ W ) | ( ssPv1 @ W ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_6, negated_conjecture,
% 36.41/5.77 (( ssPv3 @ W ) | ( ssPv2 @ W ) | ( ssPv1 @ W ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause3])).
% 36.41/5.77 thf(zip_derived_cl2, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_6])).
% 36.41/5.77 thf(zip_derived_cl70, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl77, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl951, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl941, zip_derived_cl77])).
% 36.41/5.77 thf(zip_derived_cl967, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl951])).
% 36.41/5.77 thf(zip_derived_cl985, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl968, zip_derived_cl967])).
% 36.41/5.77 thf(zip_derived_cl1434, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl1417, zip_derived_cl985])).
% 36.41/5.77 thf(zip_derived_cl1452, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1434])).
% 36.41/5.77 thf(zip_derived_cl1471, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl171, zip_derived_cl1452])).
% 36.41/5.77 thf(zip_derived_cl1474, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1471])).
% 36.41/5.77 thf(zip_derived_cl171, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl126])).
% 36.41/5.77 thf(zip_derived_cl1417, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1410])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause32, conjecture,
% 36.41/5.77 (~( ( ssPv1 @ Y ) | ( ssPv4 @ V ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_7, negated_conjecture,
% 36.41/5.77 (( ssPv1 @ Y ) | ( ssPv4 @ V ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv2 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause32])).
% 36.41/5.77 thf(zip_derived_cl31, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X2)
% 36.41/5.77 | ~ (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssRr @ X2 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X0)
% 36.41/5.77 | ~ (ssRr @ X2 @ X4)
% 36.41/5.77 | ~ (ssRr @ X4 @ X1))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_7])).
% 36.41/5.77 thf(zip_derived_cl726, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv4 @ X2)
% 36.41/5.77 | (ssPv1 @ X3))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl31])).
% 36.41/5.77 thf(zip_derived_cl2621, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X2)
% 36.41/5.77 | ~ (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X2 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl726])).
% 36.41/5.77 thf(zip_derived_cl2864, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2621])).
% 36.41/5.77 thf(zip_derived_cl2895, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2864])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause16, conjecture,
% 36.41/5.77 (~( ( ssPv4 @ W ) | ( ssPv3 @ V ) | ( ~( ssPv1 @ W ) ) |
% 36.41/5.77 ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_8, negated_conjecture,
% 36.41/5.77 (( ssPv4 @ W ) | ( ssPv3 @ V ) | ( ~( ssPv1 @ W ) ) | ( ~( ssPv1 @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause16])).
% 36.41/5.77 thf(zip_derived_cl15, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X1))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_8])).
% 36.41/5.77 thf(zip_derived_cl267, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | (ssPv3 @ X2)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl15])).
% 36.41/5.77 thf(zip_derived_cl436, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl267])).
% 36.41/5.77 thf(zip_derived_cl440, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl436])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause38, conjecture,
% 36.41/5.77 (~( ( ~( ssPv3 @ W ) ) | ( ~( ssPv1 @ W ) ) | ( ~( ssRr @ W @ X ) ) |
% 36.41/5.77 ( ~( ssPv1 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_9, negated_conjecture,
% 36.41/5.77 (( ~( ssPv3 @ W ) ) | ( ~( ssPv1 @ W ) ) | ( ~( ssRr @ W @ X ) ) |
% 36.41/5.77 ( ~( ssPv1 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause38])).
% 36.41/5.77 thf(zip_derived_cl37, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssPv3 @ X4)
% 36.41/5.77 | ~ (ssRr @ X3 @ X4))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_9])).
% 36.41/5.77 thf(zip_derived_cl87, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv3 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssPv1 @ X3)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl37])).
% 36.41/5.77 thf(zip_derived_cl95, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X2)
% 36.41/5.77 | ~ (ssPv1 @ X2)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X2 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl87])).
% 36.41/5.77 thf(zip_derived_cl106, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl95])).
% 36.41/5.77 thf(zip_derived_cl109, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl106])).
% 36.41/5.77 thf(zip_derived_cl446, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl440, zip_derived_cl109])).
% 36.41/5.77 thf(zip_derived_cl449, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl446])).
% 36.41/5.77 thf(zip_derived_cl168, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl165])).
% 36.41/5.77 thf(zip_derived_cl450, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl449, zip_derived_cl168])).
% 36.41/5.77 thf(zip_derived_cl2956, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl2895, zip_derived_cl450])).
% 36.41/5.77 thf(zip_derived_cl2976, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl2956])).
% 36.41/5.77 thf(zip_derived_cl440, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl436])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause20, conjecture,
% 36.41/5.77 (~( ( ssPv4 @ V ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv1 @ W ) ) |
% 36.41/5.77 ( ~( ssPv3 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_10, negated_conjecture,
% 36.41/5.77 (( ssPv4 @ V ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv1 @ W ) ) |
% 36.41/5.77 ( ~( ssPv3 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause20])).
% 36.41/5.77 thf(zip_derived_cl19, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_10])).
% 36.41/5.77 thf(zip_derived_cl326, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv4 @ X2))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl19])).
% 36.41/5.77 thf(zip_derived_cl330, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl326])).
% 36.41/5.77 thf(zip_derived_cl334, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl330])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause17, conjecture,
% 36.41/5.77 (~( ( ssPv4 @ V ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssPv4 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_11, negated_conjecture,
% 36.41/5.77 (( ssPv4 @ V ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssPv4 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause17])).
% 36.41/5.77 thf(zip_derived_cl16, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_11])).
% 36.41/5.77 thf(zip_derived_cl124, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | (ssPv4 @ X2))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl16])).
% 36.41/5.77 thf(zip_derived_cl129, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl124])).
% 36.41/5.77 thf(zip_derived_cl132, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl129])).
% 36.41/5.77 thf(zip_derived_cl1389, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1388])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause36, conjecture,
% 36.41/5.77 (~( ( ssPv1 @ W ) | ( ~( ssPv4 @ W ) ) | ( ~( ssRr @ W @ X ) ) |
% 36.41/5.77 ( ~( ssPv3 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_12, negated_conjecture,
% 36.41/5.77 (( ssPv1 @ W ) | ( ~( ssPv4 @ W ) ) | ( ~( ssRr @ W @ X ) ) |
% 36.41/5.77 ( ~( ssPv3 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause36])).
% 36.41/5.77 thf(zip_derived_cl35, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssPv4 @ X4)
% 36.41/5.77 | ~ (ssRr @ X3 @ X4))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_12])).
% 36.41/5.77 thf(zip_derived_cl999, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv4 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X3))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl35])).
% 36.41/5.77 thf(zip_derived_cl1156, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ (skf1 @ X1) @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | (ssPv1 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl999])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl1157, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ (skf1 @ X1) @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | (ssPv1 @ X1))),
% 36.41/5.77 inference('demod', [status(thm)], [zip_derived_cl1156, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl1158, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl1157, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl1413, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl1389, zip_derived_cl1158])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause13, conjecture,
% 36.41/5.77 (~( ( ssPv1 @ W ) | ( ssPv4 @ X ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_13, negated_conjecture,
% 36.41/5.77 (( ssPv1 @ W ) | ( ssPv4 @ X ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause13])).
% 36.41/5.77 thf(zip_derived_cl12, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv4 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X3))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_13])).
% 36.41/5.77 thf(zip_derived_cl205, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl12])).
% 36.41/5.77 thf(zip_derived_cl253, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl205])).
% 36.41/5.77 thf(zip_derived_cl255, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl253])).
% 36.41/5.77 thf(zip_derived_cl1501, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1413, zip_derived_cl255])).
% 36.41/5.77 thf(zip_derived_cl1504, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl132, zip_derived_cl1501])).
% 36.41/5.77 thf(zip_derived_cl1506, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1504])).
% 36.41/5.77 thf(zip_derived_cl132, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl129])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause14, conjecture,
% 36.41/5.77 (~( ( ssPv1 @ W ) | ( ssPv3 @ V ) | ( ~( ssPv2 @ W ) ) |
% 36.41/5.77 ( ~( ssPv3 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_14, negated_conjecture,
% 36.41/5.77 (( ssPv1 @ W ) | ( ssPv3 @ V ) | ( ~( ssPv2 @ W ) ) | ( ~( ssPv3 @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause14])).
% 36.41/5.77 thf(zip_derived_cl13, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X1))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_14])).
% 36.41/5.77 thf(zip_derived_cl228, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | (ssPv3 @ X2)
% 36.41/5.77 | (ssPv1 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl13])).
% 36.41/5.77 thf(zip_derived_cl263, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl228])).
% 36.41/5.77 thf(zip_derived_cl265, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl263])).
% 36.41/5.77 thf(zip_derived_cl1158, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl1157, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl1166, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl265, zip_derived_cl1158])).
% 36.41/5.77 thf(zip_derived_cl1170, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1166])).
% 36.41/5.77 thf(zip_derived_cl1176, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl132, zip_derived_cl1170])).
% 36.41/5.77 thf(zip_derived_cl1178, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1176])).
% 36.41/5.77 thf(zip_derived_cl132, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl129])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause5, conjecture,
% 36.41/5.77 (~( ( ssPv2 @ W ) | ( ssPv1 @ W ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_15, negated_conjecture,
% 36.41/5.77 (( ssPv2 @ W ) | ( ssPv1 @ W ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause5])).
% 36.41/5.77 thf(zip_derived_cl4, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_15])).
% 36.41/5.77 thf(zip_derived_cl79, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl97, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl135, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl97])).
% 36.41/5.77 thf(zip_derived_cl136, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl135])).
% 36.41/5.77 thf(zip_derived_cl1197, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1178, zip_derived_cl136])).
% 36.41/5.77 thf(zip_derived_cl1510, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1506, zip_derived_cl1197])).
% 36.41/5.77 thf(zip_derived_cl1514, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl334, zip_derived_cl1510])).
% 36.41/5.77 thf(zip_derived_cl1516, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1514])).
% 36.41/5.77 thf(zip_derived_cl1563, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl440, zip_derived_cl1516])).
% 36.41/5.77 thf(zip_derived_cl1569, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1563])).
% 36.41/5.77 thf(zip_derived_cl265, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl263])).
% 36.41/5.77 thf(zip_derived_cl1516, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1514])).
% 36.41/5.77 thf(zip_derived_cl1561, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl265, zip_derived_cl1516])).
% 36.41/5.77 thf(zip_derived_cl1568, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1561])).
% 36.41/5.77 thf(zip_derived_cl985, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl968, zip_derived_cl967])).
% 36.41/5.77 thf(zip_derived_cl2638, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1568, zip_derived_cl985])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause15, conjecture,
% 36.41/5.77 (~( ( ssPv4 @ W ) | ( ssPv1 @ W ) | ( ~( ssPv1 @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_16, negated_conjecture,
% 36.41/5.77 (( ssPv4 @ W ) | ( ssPv1 @ W ) | ( ~( ssPv1 @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause15])).
% 36.41/5.77 thf(zip_derived_cl14, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv1 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X3))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_16])).
% 36.41/5.77 thf(zip_derived_cl247, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv1 @ X1)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl14])).
% 36.41/5.77 thf(zip_derived_cl289, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv1 @ X1)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl247])).
% 36.41/5.77 thf(zip_derived_cl292, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl289])).
% 36.41/5.77 thf(zip_derived_cl2650, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl2638, zip_derived_cl292])).
% 36.41/5.77 thf(zip_derived_cl2675, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl2650])).
% 36.41/5.77 thf(zip_derived_cl2718, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1569, zip_derived_cl2675])).
% 36.41/5.77 thf(zip_derived_cl450, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl449, zip_derived_cl168])).
% 36.41/5.77 thf(zip_derived_cl2733, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl2718, zip_derived_cl450])).
% 36.41/5.77 thf(zip_derived_cl2756, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl2733])).
% 36.41/5.77 thf(zip_derived_cl3969, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl2976, zip_derived_cl2756])).
% 36.41/5.77 thf(zip_derived_cl3983, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl3969])).
% 36.41/5.77 thf(zip_derived_cl941, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl937])).
% 36.41/5.77 thf(zip_derived_cl450, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl449, zip_derived_cl168])).
% 36.41/5.77 thf(zip_derived_cl957, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl941, zip_derived_cl450])).
% 36.41/5.77 thf(zip_derived_cl334, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl330])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause4, conjecture,
% 36.41/5.77 (~( ( ssPv4 @ W ) | ( ssPv2 @ W ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_17, negated_conjecture,
% 36.41/5.77 (( ssPv4 @ W ) | ( ssPv2 @ W ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause4])).
% 36.41/5.77 thf(zip_derived_cl3, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_17])).
% 36.41/5.77 thf(clause2, conjecture,
% 36.41/5.77 (~( ( ssPv4 @ W ) | ( ssPv3 @ W ) | ( ssPv2 @ W ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_18, negated_conjecture,
% 36.41/5.77 (( ssPv4 @ W ) | ( ssPv3 @ W ) | ( ssPv2 @ W ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause2])).
% 36.41/5.77 thf(zip_derived_cl1, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_18])).
% 36.41/5.77 thf(zip_derived_cl73, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X1 @ X2)
% 36.41/5.77 | ~ (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 36.41/5.77 thf(zip_derived_cl74, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | (ssPv2 @ X1)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl73])).
% 36.41/5.77 thf(zip_derived_cl76, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0))) | (ssPv2 @ X0) | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl74])).
% 36.41/5.77 thf(zip_derived_cl342, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl334, zip_derived_cl76])).
% 36.41/5.77 thf(zip_derived_cl1025, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl957, zip_derived_cl342])).
% 36.41/5.77 thf(zip_derived_cl3986, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl3983, zip_derived_cl1025])).
% 36.41/5.77 thf(zip_derived_cl3997, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl1417, zip_derived_cl3986])).
% 36.41/5.77 thf(zip_derived_cl4006, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl3997])).
% 36.41/5.77 thf(zip_derived_cl1510, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1506, zip_derived_cl1197])).
% 36.41/5.77 thf(zip_derived_cl9058, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl4006, zip_derived_cl1510])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause34, conjecture,
% 36.41/5.77 (~( ( ssPv4 @ Y ) | ( ssPv1 @ V ) | ( ~( ssPv4 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ Y ) ) | ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ W @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_19, negated_conjecture,
% 36.41/5.77 (( ssPv4 @ Y ) | ( ssPv1 @ V ) | ( ~( ssPv4 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ Y ) ) | ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ W @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause34])).
% 36.41/5.77 thf(zip_derived_cl33, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssRr @ X2 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X4)
% 36.41/5.77 | ~ (ssRr @ X4 @ X1))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_19])).
% 36.41/5.77 thf(zip_derived_cl846, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl33])).
% 36.41/5.77 thf(zip_derived_cl8287, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | (ssPv1 @ X2)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X1)))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl846])).
% 36.41/5.77 thf(zip_derived_cl8299, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X1)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl8287])).
% 36.41/5.77 thf(zip_derived_cl8301, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl8299])).
% 36.41/5.77 thf(zip_derived_cl168, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl165])).
% 36.41/5.77 thf(zip_derived_cl8315, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl8301, zip_derived_cl168])).
% 36.41/5.77 thf(zip_derived_cl8346, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl8315])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause27, conjecture,
% 36.41/5.77 (~( ( ssPv4 @ W ) | ( ssPv1 @ Y ) | ( ssPv4 @ V ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_20, negated_conjecture,
% 36.41/5.77 (( ssPv4 @ W ) | ( ssPv1 @ Y ) | ( ssPv4 @ V ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause27])).
% 36.41/5.77 thf(zip_derived_cl26, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X1)
% 36.41/5.77 | (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X4)
% 36.41/5.77 | ~ (ssRr @ X4 @ X2))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_20])).
% 36.41/5.77 thf(zip_derived_cl512, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X1)
% 36.41/5.77 | (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X2))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl26])).
% 36.41/5.77 thf(zip_derived_cl4393, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ (skf1 @ X1) @ X0)
% 36.41/5.77 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl512])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl4394, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ (skf1 @ X1) @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('demod', [status(thm)], [zip_derived_cl4393, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl5872, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl4394, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl450, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl449, zip_derived_cl168])).
% 36.41/5.77 thf(zip_derived_cl6005, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl5872, zip_derived_cl450])).
% 36.41/5.77 thf(zip_derived_cl6030, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6005])).
% 36.41/5.77 thf(zip_derived_cl255, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl253])).
% 36.41/5.77 thf(zip_derived_cl6638, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl6030, zip_derived_cl255])).
% 36.41/5.77 thf(zip_derived_cl6654, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6638])).
% 36.41/5.77 thf(zip_derived_cl8362, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl8346, zip_derived_cl6654])).
% 36.41/5.77 thf(zip_derived_cl9059, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl9058, zip_derived_cl8362])).
% 36.41/5.77 thf(zip_derived_cl9076, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl171, zip_derived_cl9059])).
% 36.41/5.77 thf(zip_derived_cl9089, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl9076])).
% 36.41/5.77 thf(zip_derived_cl18657, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1474, zip_derived_cl9089])).
% 36.41/5.77 thf(zip_derived_cl5872, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl4394, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl2895, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2864])).
% 36.41/5.77 thf(zip_derived_cl440, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl436])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause9, conjecture,
% 36.41/5.77 (~( ( ssPv4 @ W ) | ( ssPv1 @ X ) | ( ssPv2 @ V ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_21, negated_conjecture,
% 36.41/5.77 (( ssPv4 @ W ) | ( ssPv1 @ X ) | ( ssPv2 @ V ) | ( ~( ssPv3 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause9])).
% 36.41/5.77 thf(zip_derived_cl8, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X1)
% 36.41/5.77 | (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X2))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_21])).
% 36.41/5.77 thf(zip_derived_cl119, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv2 @ X2)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl8])).
% 36.41/5.77 thf(zip_derived_cl568, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl119])).
% 36.41/5.77 thf(zip_derived_cl572, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl568])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause12, conjecture,
% 36.41/5.77 (~( ( ssPv4 @ W ) | ( ssPv1 @ X ) | ( ~( ssPv1 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_22, negated_conjecture,
% 36.41/5.77 (( ssPv4 @ W ) | ( ssPv1 @ X ) | ( ~( ssPv1 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause12])).
% 36.41/5.77 thf(zip_derived_cl11, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv2 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X3))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_22])).
% 36.41/5.77 thf(zip_derived_cl173, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl11])).
% 36.41/5.77 thf(zip_derived_cl510, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl173])).
% 36.41/5.77 thf(zip_derived_cl522, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl510])).
% 36.41/5.77 thf(zip_derived_cl580, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl572, zip_derived_cl522])).
% 36.41/5.77 thf(zip_derived_cl584, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl580])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause26, conjecture,
% 36.41/5.77 (~( ( ssPv3 @ W ) | ( ssPv1 @ Y ) | ( ssPv2 @ V ) | ( ~( ssPv1 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_23, negated_conjecture,
% 36.41/5.77 (( ssPv3 @ W ) | ( ssPv1 @ Y ) | ( ssPv2 @ V ) | ( ~( ssPv1 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause26])).
% 36.41/5.77 thf(zip_derived_cl25, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X1)
% 36.41/5.77 | (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X4)
% 36.41/5.77 | ~ (ssRr @ X4 @ X2))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_23])).
% 36.41/5.77 thf(zip_derived_cl490, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X1)
% 36.41/5.77 | (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X2))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl25])).
% 36.41/5.77 thf(zip_derived_cl4233, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ (skf1 @ X1) @ X0)
% 36.41/5.77 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl490])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl4234, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ (skf1 @ X1) @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ X1))),
% 36.41/5.77 inference('demod', [status(thm)], [zip_derived_cl4233, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl5870, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl4234, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl522, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl510])).
% 36.41/5.77 thf(zip_derived_cl5890, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl5870, zip_derived_cl522])).
% 36.41/5.77 thf(zip_derived_cl5901, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl5890])).
% 36.41/5.77 thf(zip_derived_cl584, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl580])).
% 36.41/5.77 thf(zip_derived_cl12381, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl5901, zip_derived_cl584])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause21, conjecture,
% 36.41/5.77 (~( ( ssPv3 @ X ) | ( ~( ssPv2 @ W ) ) | ( ~( ssPv1 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_24, negated_conjecture,
% 36.41/5.77 (( ssPv3 @ X ) | ( ~( ssPv2 @ W ) ) | ( ~( ssPv1 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause21])).
% 36.41/5.77 thf(zip_derived_cl20, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2)
% 36.41/5.77 | ~ (ssPv1 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X3))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_24])).
% 36.41/5.77 thf(zip_derived_cl371, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl20])).
% 36.41/5.77 thf(zip_derived_cl401, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl371])).
% 36.41/5.77 thf(zip_derived_cl417, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl401])).
% 36.41/5.77 thf(zip_derived_cl12396, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl12381, zip_derived_cl417])).
% 36.41/5.77 thf(zip_derived_cl12425, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl12396])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause25, conjecture,
% 36.41/5.77 (~( ( ssPv4 @ W ) | ( ssPv3 @ W ) | ( ssPv2 @ Y ) | ( ssPv4 @ V ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_25, negated_conjecture,
% 36.41/5.77 (( ssPv4 @ W ) | ( ssPv3 @ W ) | ( ssPv2 @ Y ) | ( ssPv4 @ V ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause25])).
% 36.41/5.77 thf(zip_derived_cl24, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv2 @ X1)
% 36.41/5.77 | (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X4)
% 36.41/5.77 | ~ (ssRr @ X4 @ X2))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_25])).
% 36.41/5.77 thf(zip_derived_cl463, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv2 @ X1)
% 36.41/5.77 | (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X2))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl24])).
% 36.41/5.77 thf(zip_derived_cl3713, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ (skf1 @ X1) @ X0)
% 36.41/5.77 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv3 @ X1)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl463])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl3714, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ (skf1 @ X1) @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv3 @ X1)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('demod', [status(thm)], [zip_derived_cl3713, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl5680, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl3714, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl522, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl510])).
% 36.41/5.77 thf(zip_derived_cl5722, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl5680, zip_derived_cl522])).
% 36.41/5.77 thf(zip_derived_cl5734, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl5722])).
% 36.41/5.77 thf(zip_derived_cl584, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl580])).
% 36.41/5.77 thf(zip_derived_cl11697, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl5734, zip_derived_cl584])).
% 36.41/5.77 thf(zip_derived_cl76, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0))) | (ssPv2 @ X0) | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl74])).
% 36.41/5.77 thf(zip_derived_cl11712, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl11697, zip_derived_cl76])).
% 36.41/5.77 thf(zip_derived_cl11730, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl11712])).
% 36.41/5.77 thf(zip_derived_cl440, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl436])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause33, conjecture,
% 36.41/5.77 (~( ( ssPv2 @ W ) | ( ssPv4 @ Y ) | ( ~( ssPv1 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_26, negated_conjecture,
% 36.41/5.77 (( ssPv2 @ W ) | ( ssPv4 @ Y ) | ( ~( ssPv1 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause33])).
% 36.41/5.77 thf(zip_derived_cl32, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv4 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X2 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssPv3 @ X4)
% 36.41/5.77 | ~ (ssRr @ X3 @ X4))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_26])).
% 36.41/5.77 thf(zip_derived_cl784, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv4 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv3 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X3))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl32])).
% 36.41/5.77 thf(zip_derived_cl7369, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ (skf1 @ X1) @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv2 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl784])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl7370, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ (skf1 @ X1) @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv2 @ X1))),
% 36.41/5.77 inference('demod', [status(thm)], [zip_derived_cl7369, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl7407, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl7370, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl7433, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl440, zip_derived_cl7407])).
% 36.41/5.77 thf(zip_derived_cl7443, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl7433])).
% 36.41/5.77 thf(zip_derived_cl76, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0))) | (ssPv2 @ X0) | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl74])).
% 36.41/5.77 thf(zip_derived_cl8517, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl7443, zip_derived_cl76])).
% 36.41/5.77 thf(zip_derived_cl12024, plain,
% 36.41/5.77 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv4 @ X0) | (ssPv2 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl11730, zip_derived_cl8517])).
% 36.41/5.77 thf(zip_derived_cl12548, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)],
% 36.41/5.77 [zip_derived_cl12425, zip_derived_cl12024])).
% 36.41/5.77 thf(zip_derived_cl11697, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl5734, zip_derived_cl584])).
% 36.41/5.77 thf(zip_derived_cl1510, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1506, zip_derived_cl1197])).
% 36.41/5.77 thf(zip_derived_cl11708, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl11697, zip_derived_cl1510])).
% 36.41/5.77 thf(zip_derived_cl11728, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl11708])).
% 36.41/5.77 thf(zip_derived_cl12570, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl12548, zip_derived_cl11728])).
% 36.41/5.77 thf(zip_derived_cl12586, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl12570])).
% 36.41/5.77 thf(zip_derived_cl450, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl449, zip_derived_cl168])).
% 36.41/5.77 thf(zip_derived_cl12603, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl12586, zip_derived_cl450])).
% 36.41/5.77 thf(zip_derived_cl12629, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl12603])).
% 36.41/5.77 thf(zip_derived_cl6030, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6005])).
% 36.41/5.77 thf(zip_derived_cl13125, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl12629, zip_derived_cl6030])).
% 36.41/5.77 thf(zip_derived_cl13140, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl584, zip_derived_cl13125])).
% 36.41/5.77 thf(zip_derived_cl13154, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl13140])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause31, conjecture,
% 36.41/5.77 (~( ( ssPv3 @ W ) | ( ssPv3 @ Y ) | ( ~( ssPv4 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_27, negated_conjecture,
% 36.41/5.77 (( ssPv3 @ W ) | ( ssPv3 @ Y ) | ( ~( ssPv4 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause31])).
% 36.41/5.77 thf(zip_derived_cl30, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X2 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssPv4 @ X4)
% 36.41/5.77 | ~ (ssRr @ X3 @ X4))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_27])).
% 36.41/5.77 thf(zip_derived_cl688, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | (ssPv3 @ X3)
% 36.41/5.77 | (ssPv3 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl30])).
% 36.41/5.77 thf(zip_derived_cl1483, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 ( (ssPv3 @ X2)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X2 @ X1)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl688])).
% 36.41/5.77 thf(zip_derived_cl1615, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 ( (ssPv3 @ X1)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1483])).
% 36.41/5.77 thf(zip_derived_cl1619, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1615])).
% 36.41/5.77 thf(zip_derived_cl171, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl126])).
% 36.41/5.77 thf(zip_derived_cl292, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl289])).
% 36.41/5.77 thf(zip_derived_cl306, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl292])).
% 36.41/5.77 thf(zip_derived_cl307, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl306])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl132, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl129])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl132, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl129])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause48, conjecture,
% 36.41/5.77 (~( ( ~( ssPv3 @ W ) ) | ( ~( ssPv4 @ Z ) ) | ( ~( ssRr @ W @ Z ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssPv2 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_28, negated_conjecture,
% 36.41/5.77 (( ~( ssPv3 @ W ) ) | ( ~( ssPv4 @ Z ) ) | ( ~( ssRr @ W @ Z ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssPv2 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause48])).
% 36.41/5.77 thf(zip_derived_cl47, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv2 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X3)
% 36.41/5.77 | ~ (ssRr @ X0 @ X4)
% 36.41/5.77 | ~ (ssPv4 @ X5)
% 36.41/5.77 | ~ (ssRr @ X4 @ X5))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_28])).
% 36.41/5.77 thf(zip_derived_cl179, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X4 @ X3)
% 36.41/5.77 | ~ (ssPv2 @ X3)
% 36.41/5.77 | ~ (ssRr @ X1 @ X4)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl47])).
% 36.41/5.77 thf(zip_derived_cl500, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X3 @ X2)
% 36.41/5.77 | ~ (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X3)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl179])).
% 36.41/5.77 thf(zip_derived_cl519, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X3 @ X2)
% 36.41/5.77 | ~ (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X3)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl500])).
% 36.41/5.77 thf(zip_derived_cl521, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssRr @ X1 @ X3)
% 36.41/5.77 | ~ (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssRr @ X3 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl519])).
% 36.41/5.77 thf(zip_derived_cl788, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl521])).
% 36.41/5.77 thf(zip_derived_cl791, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X1 @ X2)
% 36.41/5.77 | ~ (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl788])).
% 36.41/5.77 thf(zip_derived_cl792, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X2 @ X1)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X2)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl791])).
% 36.41/5.77 thf(zip_derived_cl794, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X2)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssRr @ X2 @ X1)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl792])).
% 36.41/5.77 thf(zip_derived_cl850, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ (skf1 @ X0)) @ X1)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl794])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl852, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl850, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl866, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl307, zip_derived_cl852])).
% 36.41/5.77 thf(zip_derived_cl132, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl129])).
% 36.41/5.77 thf(zip_derived_cl9143, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl866, zip_derived_cl132])).
% 36.41/5.77 thf(zip_derived_cl132, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl129])).
% 36.41/5.77 thf(zip_derived_cl9144, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl9143, zip_derived_cl132])).
% 36.41/5.77 thf(zip_derived_cl132, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl129])).
% 36.41/5.77 thf(zip_derived_cl9145, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl9144, zip_derived_cl132])).
% 36.41/5.77 thf(zip_derived_cl5872, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl4394, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl9146, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl9145, zip_derived_cl5872])).
% 36.41/5.77 thf(zip_derived_cl168, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl165])).
% 36.41/5.77 thf(zip_derived_cl9160, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl9146, zip_derived_cl168])).
% 36.41/5.77 thf(zip_derived_cl9192, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl9160])).
% 36.41/5.77 thf(zip_derived_cl8301, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl8299])).
% 36.41/5.77 thf(zip_derived_cl8517, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl7443, zip_derived_cl76])).
% 36.41/5.77 thf(zip_derived_cl8543, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl8301, zip_derived_cl8517])).
% 36.41/5.77 thf(zip_derived_cl8552, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl8543])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl334, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl330])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl47, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv2 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X3)
% 36.41/5.77 | ~ (ssRr @ X0 @ X4)
% 36.41/5.77 | ~ (ssPv4 @ X5)
% 36.41/5.77 | ~ (ssRr @ X4 @ X5))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_28])).
% 36.41/5.77 thf(zip_derived_cl177, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.77 (~ (ssRr @ X3 @ X2)
% 36.41/5.77 | ~ (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X3)
% 36.41/5.77 | ~ (ssRr @ X0 @ X4)
% 36.41/5.77 | ~ (ssPv2 @ X4)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl47])).
% 36.41/5.77 thf(zip_derived_cl269, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X3 @ X2)
% 36.41/5.77 | ~ (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X3)
% 36.41/5.77 | ~ (ssPv4 @ X3)
% 36.41/5.77 | ~ (ssPv3 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl177])).
% 36.41/5.77 thf(zip_derived_cl341, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X3 @ X2)
% 36.41/5.77 | ~ (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X3)
% 36.41/5.77 | ~ (ssPv4 @ X3)
% 36.41/5.77 | ~ (ssPv3 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl334, zip_derived_cl269])).
% 36.41/5.77 thf(zip_derived_cl1049, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X2 @ X1)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl341])).
% 36.41/5.77 thf(zip_derived_cl1052, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssRr @ X2 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1049])).
% 36.41/5.77 thf(zip_derived_cl1053, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1052])).
% 36.41/5.77 thf(zip_derived_cl1058, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1053])).
% 36.41/5.77 thf(zip_derived_cl8616, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl8552, zip_derived_cl1058])).
% 36.41/5.77 thf(zip_derived_cl8631, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl8616])).
% 36.41/5.77 thf(zip_derived_cl1389, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1388])).
% 36.41/5.77 thf(zip_derived_cl109, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl106])).
% 36.41/5.77 thf(zip_derived_cl1411, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl1389, zip_derived_cl109])).
% 36.41/5.77 thf(zip_derived_cl1418, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1411])).
% 36.41/5.77 thf(zip_derived_cl8635, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl8631, zip_derived_cl1418])).
% 36.41/5.77 thf(zip_derived_cl5872, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl4394, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl8645, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)],
% 36.41/5.77 [zip_derived_cl8635, zip_derived_cl5872])).
% 36.41/5.77 thf(zip_derived_cl8673, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl8645])).
% 36.41/5.77 thf(zip_derived_cl132, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl129])).
% 36.41/5.77 thf(zip_derived_cl8816, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl8673, zip_derived_cl132])).
% 36.41/5.77 thf(zip_derived_cl10066, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl9192, zip_derived_cl8816])).
% 36.41/5.77 thf(zip_derived_cl2675, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl2650])).
% 36.41/5.77 thf(zip_derived_cl10089, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl10066, zip_derived_cl2675])).
% 36.41/5.77 thf(zip_derived_cl10105, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl10089])).
% 36.41/5.77 thf(zip_derived_cl334, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl330])).
% 36.41/5.77 thf(zip_derived_cl2756, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl2733])).
% 36.41/5.77 thf(zip_derived_cl2795, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl334, zip_derived_cl2756])).
% 36.41/5.77 thf(zip_derived_cl2797, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl2795])).
% 36.41/5.77 thf(zip_derived_cl584, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl580])).
% 36.41/5.77 thf(zip_derived_cl2800, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl2797, zip_derived_cl584])).
% 36.41/5.77 thf(zip_derived_cl12361, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl10105, zip_derived_cl2800])).
% 36.41/5.77 thf(zip_derived_cl9146, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl9145, zip_derived_cl5872])).
% 36.41/5.77 thf(zip_derived_cl8362, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl8346, zip_derived_cl6654])).
% 36.41/5.77 thf(zip_derived_cl9154, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl9146, zip_derived_cl8362])).
% 36.41/5.77 thf(zip_derived_cl9189, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl9154])).
% 36.41/5.77 thf(zip_derived_cl10066, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl9192, zip_derived_cl8816])).
% 36.41/5.77 thf(zip_derived_cl10842, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl9189, zip_derived_cl10066])).
% 36.41/5.77 thf(zip_derived_cl1510, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1506, zip_derived_cl1197])).
% 36.41/5.77 thf(zip_derived_cl10853, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl10842, zip_derived_cl1510])).
% 36.41/5.77 thf(zip_derived_cl10873, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl10853])).
% 36.41/5.77 thf(zip_derived_cl12362, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)],
% 36.41/5.77 [zip_derived_cl12361, zip_derived_cl10873])).
% 36.41/5.77 thf(zip_derived_cl12375, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl1619, zip_derived_cl12362])).
% 36.41/5.77 thf(zip_derived_cl12378, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl12375])).
% 36.41/5.77 thf(zip_derived_cl13203, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl13154, zip_derived_cl12378])).
% 36.41/5.77 thf(zip_derived_cl13222, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl13203])).
% 36.41/5.77 thf(zip_derived_cl440, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl436])).
% 36.41/5.77 thf(zip_derived_cl2800, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl2797, zip_derived_cl584])).
% 36.41/5.77 thf(zip_derived_cl2814, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl440, zip_derived_cl2800])).
% 36.41/5.77 thf(zip_derived_cl2822, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl2814])).
% 36.41/5.77 thf(zip_derived_cl265, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl263])).
% 36.41/5.77 thf(zip_derived_cl2800, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl2797, zip_derived_cl584])).
% 36.41/5.77 thf(zip_derived_cl2812, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl265, zip_derived_cl2800])).
% 36.41/5.77 thf(zip_derived_cl2821, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl2812])).
% 36.41/5.77 thf(zip_derived_cl985, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl968, zip_derived_cl967])).
% 36.41/5.77 thf(zip_derived_cl2833, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl2821, zip_derived_cl985])).
% 36.41/5.77 thf(zip_derived_cl2870, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl2822, zip_derived_cl2833])).
% 36.41/5.77 thf(zip_derived_cl13333, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl13222, zip_derived_cl2870])).
% 36.41/5.77 thf(zip_derived_cl5872, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl4394, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl584, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl580])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl15, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X1))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_8])).
% 36.41/5.77 thf(zip_derived_cl266, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X2 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl15])).
% 36.41/5.77 thf(zip_derived_cl587, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X2 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl584, zip_derived_cl266])).
% 36.41/5.77 thf(zip_derived_cl601, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X2 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl587])).
% 36.41/5.77 thf(zip_derived_cl700, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ X1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl601])).
% 36.41/5.77 thf(zip_derived_cl702, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl700])).
% 36.41/5.77 thf(zip_derived_cl109, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl106])).
% 36.41/5.77 thf(zip_derived_cl711, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl702, zip_derived_cl109])).
% 36.41/5.77 thf(zip_derived_cl713, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl711])).
% 36.41/5.77 thf(zip_derived_cl6008, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl5872, zip_derived_cl713])).
% 36.41/5.77 thf(zip_derived_cl6033, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6008])).
% 36.41/5.77 thf(zip_derived_cl76, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0))) | (ssPv2 @ X0) | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl74])).
% 36.41/5.77 thf(zip_derived_cl6386, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl6033, zip_derived_cl76])).
% 36.41/5.77 thf(zip_derived_cl6400, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0) | ~ (ssPv1 @ X0) | (ssPv4 @ X0) | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6386])).
% 36.41/5.77 thf(zip_derived_cl584, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl580])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause19, conjecture,
% 36.41/5.77 (~( ( ssPv3 @ V ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv2 @ W ) ) |
% 36.41/5.77 ( ~( ssPv2 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_29, negated_conjecture,
% 36.41/5.77 (( ssPv3 @ V ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv2 @ W ) ) |
% 36.41/5.77 ( ~( ssPv2 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause19])).
% 36.41/5.77 thf(zip_derived_cl18, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_29])).
% 36.41/5.77 thf(zip_derived_cl294, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | (ssPv3 @ X2))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl18])).
% 36.41/5.77 thf(zip_derived_cl297, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl294])).
% 36.41/5.77 thf(zip_derived_cl301, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl297])).
% 36.41/5.77 thf(zip_derived_cl109, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl106])).
% 36.41/5.77 thf(zip_derived_cl312, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl301, zip_derived_cl109])).
% 36.41/5.77 thf(zip_derived_cl595, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl584, zip_derived_cl312])).
% 36.41/5.77 thf(zip_derived_cl2800, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl2797, zip_derived_cl584])).
% 36.41/5.77 thf(zip_derived_cl5454, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl595, zip_derived_cl2800])).
% 36.41/5.77 thf(zip_derived_cl2895, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2864])).
% 36.41/5.77 thf(zip_derived_cl168, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl165])).
% 36.41/5.77 thf(zip_derived_cl2952, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl2895, zip_derived_cl168])).
% 36.41/5.77 thf(zip_derived_cl2973, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl2952])).
% 36.41/5.77 thf(zip_derived_cl265, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl263])).
% 36.41/5.77 thf(zip_derived_cl132, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl129])).
% 36.41/5.77 thf(zip_derived_cl1510, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1506, zip_derived_cl1197])).
% 36.41/5.77 thf(zip_derived_cl1513, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl132, zip_derived_cl1510])).
% 36.41/5.77 thf(zip_derived_cl1515, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1513])).
% 36.41/5.77 thf(zip_derived_cl1539, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl265, zip_derived_cl1515])).
% 36.41/5.77 thf(zip_derived_cl1546, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1539])).
% 36.41/5.77 thf(zip_derived_cl941, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl937])).
% 36.41/5.77 thf(zip_derived_cl2545, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1546, zip_derived_cl941])).
% 36.41/5.77 thf(zip_derived_cl168, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl165])).
% 36.41/5.77 thf(zip_derived_cl2556, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl2545, zip_derived_cl168])).
% 36.41/5.77 thf(zip_derived_cl2581, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl2556])).
% 36.41/5.77 thf(zip_derived_cl1510, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1506, zip_derived_cl1197])).
% 36.41/5.77 thf(zip_derived_cl2594, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl2581, zip_derived_cl1510])).
% 36.41/5.77 thf(zip_derived_cl255, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl253])).
% 36.41/5.77 thf(zip_derived_cl2595, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl2594, zip_derived_cl255])).
% 36.41/5.77 thf(zip_derived_cl3763, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl2973, zip_derived_cl2595])).
% 36.41/5.77 thf(zip_derived_cl3776, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl3763])).
% 36.41/5.77 thf(zip_derived_cl985, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl968, zip_derived_cl967])).
% 36.41/5.77 thf(zip_derived_cl3783, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl3776, zip_derived_cl985])).
% 36.41/5.77 thf(zip_derived_cl5455, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl5454, zip_derived_cl3783])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl584, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl580])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause22, conjecture,
% 36.41/5.77 (~( ( ssPv2 @ W ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv1 @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_30, negated_conjecture,
% 36.41/5.77 (( ssPv2 @ W ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv1 @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause22])).
% 36.41/5.77 thf(zip_derived_cl21, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv1 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X3))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_30])).
% 36.41/5.77 thf(zip_derived_cl406, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv2 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl21])).
% 36.41/5.77 thf(zip_derived_cl412, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv2 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl406])).
% 36.41/5.77 thf(zip_derived_cl590, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | (ssPv2 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl584, zip_derived_cl412])).
% 36.41/5.77 thf(zip_derived_cl603, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 ( (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X1)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl590])).
% 36.41/5.77 thf(zip_derived_cl646, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl603])).
% 36.41/5.77 thf(zip_derived_cl5456, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl5455, zip_derived_cl646])).
% 36.41/5.77 thf(zip_derived_cl6486, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl6400, zip_derived_cl5456])).
% 36.41/5.77 thf(zip_derived_cl6500, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6486])).
% 36.41/5.77 thf(zip_derived_cl13334, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl13333, zip_derived_cl6500])).
% 36.41/5.77 thf(zip_derived_cl13347, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl440, zip_derived_cl13334])).
% 36.41/5.77 thf(zip_derived_cl292, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl289])).
% 36.41/5.77 thf(zip_derived_cl14089, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl13347, zip_derived_cl292])).
% 36.41/5.77 thf(zip_derived_cl14111, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl2895, zip_derived_cl14089])).
% 36.41/5.77 thf(zip_derived_cl14123, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl14111])).
% 36.41/5.77 thf(zip_derived_cl2895, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2864])).
% 36.41/5.77 thf(zip_derived_cl12024, plain,
% 36.41/5.77 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv4 @ X0) | (ssPv2 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl11730, zip_derived_cl8517])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause7, conjecture,
% 36.41/5.77 (~( ( ssPv1 @ W ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv2 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_31, negated_conjecture,
% 36.41/5.77 (( ssPv1 @ W ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv2 @ W ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause7])).
% 36.41/5.77 thf(zip_derived_cl6, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X2))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_31])).
% 36.41/5.77 thf(zip_derived_cl51, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl54, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl12033, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl12024, zip_derived_cl54])).
% 36.41/5.77 thf(zip_derived_cl13697, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl2895, zip_derived_cl12033])).
% 36.41/5.77 thf(zip_derived_cl13707, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl13697])).
% 36.41/5.77 thf(zip_derived_cl2895, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2864])).
% 36.41/5.77 thf(zip_derived_cl417, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl401])).
% 36.41/5.77 thf(zip_derived_cl2955, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl2895, zip_derived_cl417])).
% 36.41/5.77 thf(zip_derived_cl2975, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl2955])).
% 36.41/5.77 thf(zip_derived_cl334, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl330])).
% 36.41/5.77 thf(zip_derived_cl3874, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl2975, zip_derived_cl334])).
% 36.41/5.77 thf(zip_derived_cl13842, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl13707, zip_derived_cl3874])).
% 36.41/5.77 thf(zip_derived_cl14690, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)],
% 36.41/5.77 [zip_derived_cl14123, zip_derived_cl13842])).
% 36.41/5.77 thf(zip_derived_cl12586, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl12570])).
% 36.41/5.77 thf(zip_derived_cl440, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl436])).
% 36.41/5.77 thf(zip_derived_cl334, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl330])).
% 36.41/5.77 thf(zip_derived_cl702, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl700])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause10, conjecture,
% 36.41/5.77 (~( ( ssPv4 @ W ) | ( ssPv2 @ W ) | ( ssPv2 @ V ) | ( ~( ssPv2 @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_32, negated_conjecture,
% 36.41/5.77 (( ssPv4 @ W ) | ( ssPv2 @ W ) | ( ssPv2 @ V ) | ( ~( ssPv2 @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause10])).
% 36.41/5.77 thf(zip_derived_cl9, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssRr @ X3 @ X1))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_32])).
% 36.41/5.77 thf(zip_derived_cl138, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv2 @ X2)
% 36.41/5.77 | (ssPv2 @ X1)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl9])).
% 36.41/5.77 thf(zip_derived_cl734, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ X1)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl138])).
% 36.41/5.77 thf(zip_derived_cl737, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl734])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl301, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl297])).
% 36.41/5.77 thf(zip_derived_cl334, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl330])).
% 36.41/5.77 thf(zip_derived_cl1417, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1410])).
% 36.41/5.77 thf(zip_derived_cl941, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl937])).
% 36.41/5.77 thf(zip_derived_cl8552, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl8543])).
% 36.41/5.77 thf(zip_derived_cl2895, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2864])).
% 36.41/5.77 thf(zip_derived_cl301, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl297])).
% 36.41/5.77 thf(zip_derived_cl6400, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0) | ~ (ssPv1 @ X0) | (ssPv4 @ X0) | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6386])).
% 36.41/5.77 thf(zip_derived_cl2800, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl2797, zip_derived_cl584])).
% 36.41/5.77 thf(zip_derived_cl301, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl297])).
% 36.41/5.77 thf(zip_derived_cl2804, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)],
% 36.41/5.77 [zip_derived_cl2800, zip_derived_cl301])).
% 36.41/5.77 thf(zip_derived_cl2870, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl2822, zip_derived_cl2833])).
% 36.41/5.77 thf(zip_derived_cl2903, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl2804, zip_derived_cl2870])).
% 36.41/5.77 thf(zip_derived_cl6484, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl6400, zip_derived_cl2903])).
% 36.41/5.77 thf(zip_derived_cl6498, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6484])).
% 36.41/5.77 thf(zip_derived_cl6533, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl301, zip_derived_cl6498])).
% 36.41/5.77 thf(zip_derived_cl6544, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6533])).
% 36.41/5.77 thf(zip_derived_cl6801, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl2895, zip_derived_cl6544])).
% 36.41/5.77 thf(zip_derived_cl6808, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6801])).
% 36.41/5.77 thf(zip_derived_cl301, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl297])).
% 36.41/5.77 thf(zip_derived_cl1158, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl1157, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl1167, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl301, zip_derived_cl1158])).
% 36.41/5.77 thf(zip_derived_cl1171, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1167])).
% 36.41/5.77 thf(zip_derived_cl6833, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl6808, zip_derived_cl1171])).
% 36.41/5.77 thf(zip_derived_cl6848, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6833])).
% 36.41/5.77 thf(zip_derived_cl8610, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl8552, zip_derived_cl6848])).
% 36.41/5.77 thf(zip_derived_cl8628, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl8610])).
% 36.41/5.77 thf(zip_derived_cl8362, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl8346, zip_derived_cl6654])).
% 36.41/5.77 thf(zip_derived_cl8891, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl8628, zip_derived_cl8362])).
% 36.41/5.77 thf(zip_derived_cl1510, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1506, zip_derived_cl1197])).
% 36.41/5.77 thf(zip_derived_cl8892, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl8891, zip_derived_cl1510])).
% 36.41/5.77 thf(zip_derived_cl8910, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl941, zip_derived_cl8892])).
% 36.41/5.77 thf(zip_derived_cl8923, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl8910])).
% 36.41/5.77 thf(zip_derived_cl985, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl968, zip_derived_cl967])).
% 36.41/5.77 thf(zip_derived_cl9110, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl8923, zip_derived_cl985])).
% 36.41/5.77 thf(zip_derived_cl9123, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl1417, zip_derived_cl9110])).
% 36.41/5.77 thf(zip_derived_cl9134, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl9123])).
% 36.41/5.77 thf(zip_derived_cl9225, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl334, zip_derived_cl9134])).
% 36.41/5.77 thf(zip_derived_cl9237, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl9225])).
% 36.41/5.77 thf(zip_derived_cl301, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl297])).
% 36.41/5.77 thf(zip_derived_cl2895, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2864])).
% 36.41/5.77 thf(zip_derived_cl265, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl263])).
% 36.41/5.77 thf(zip_derived_cl6500, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6486])).
% 36.41/5.77 thf(zip_derived_cl6584, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl265, zip_derived_cl6500])).
% 36.41/5.77 thf(zip_derived_cl6597, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6584])).
% 36.41/5.77 thf(zip_derived_cl7041, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl2895, zip_derived_cl6597])).
% 36.41/5.77 thf(zip_derived_cl7050, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl7041])).
% 36.41/5.77 thf(zip_derived_cl3874, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl2975, zip_derived_cl334])).
% 36.41/5.77 thf(zip_derived_cl7122, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl7050, zip_derived_cl3874])).
% 36.41/5.77 thf(zip_derived_cl2595, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl2594, zip_derived_cl255])).
% 36.41/5.77 thf(zip_derived_cl7142, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl7122, zip_derived_cl2595])).
% 36.41/5.77 thf(zip_derived_cl7157, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl7142])).
% 36.41/5.77 thf(zip_derived_cl7182, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl301, zip_derived_cl7157])).
% 36.41/5.77 thf(zip_derived_cl7192, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl7182])).
% 36.41/5.77 thf(zip_derived_cl9302, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl9237, zip_derived_cl7192])).
% 36.41/5.77 thf(zip_derived_cl9320, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl9302])).
% 36.41/5.77 thf(zip_derived_cl2800, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl2797, zip_derived_cl584])).
% 36.41/5.77 thf(zip_derived_cl9393, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl9320, zip_derived_cl2800])).
% 36.41/5.77 thf(zip_derived_cl7157, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl7142])).
% 36.41/5.77 thf(zip_derived_cl9394, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl9393, zip_derived_cl7157])).
% 36.41/5.77 thf(zip_derived_cl9409, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl301, zip_derived_cl9394])).
% 36.41/5.77 thf(zip_derived_cl9419, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl9409])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause23, conjecture,
% 36.41/5.77 (~( ( ~( ssPv2 @ W ) ) | ( ~( ssPv1 @ W ) ) | ( ~( ssPv4 @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_33, negated_conjecture,
% 36.41/5.77 (( ~( ssPv2 @ W ) ) | ( ~( ssPv1 @ W ) ) | ( ~( ssPv4 @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause23])).
% 36.41/5.77 thf(zip_derived_cl22, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv1 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X3))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_33])).
% 36.41/5.77 thf(zip_derived_cl59, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv1 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssPv2 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl22])).
% 36.41/5.77 thf(zip_derived_cl61, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssPv2 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl59])).
% 36.41/5.77 thf(zip_derived_cl9431, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssPv2 @ X1))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl9419, zip_derived_cl61])).
% 36.41/5.77 thf(zip_derived_cl9419, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl9409])).
% 36.41/5.77 thf(zip_derived_cl3986, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl3983, zip_derived_cl1025])).
% 36.41/5.77 thf(zip_derived_cl301, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl297])).
% 36.41/5.77 thf(zip_derived_cl3990, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)],
% 36.41/5.77 [zip_derived_cl3986, zip_derived_cl301])).
% 36.41/5.77 thf(zip_derived_cl6030, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6005])).
% 36.41/5.77 thf(zip_derived_cl76, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0))) | (ssPv2 @ X0) | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl74])).
% 36.41/5.77 thf(zip_derived_cl6636, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl6030, zip_derived_cl76])).
% 36.41/5.77 thf(zip_derived_cl6652, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6636])).
% 36.41/5.77 thf(zip_derived_cl7903, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl3990, zip_derived_cl6652])).
% 36.41/5.77 thf(zip_derived_cl9463, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl9419, zip_derived_cl7903])).
% 36.41/5.77 thf(zip_derived_cl9490, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl9463])).
% 36.41/5.77 thf(zip_derived_cl11214, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl9431, zip_derived_cl9490])).
% 36.41/5.77 thf(zip_derived_cl11215, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl11214])).
% 36.41/5.77 thf(zip_derived_cl11216, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl11215])).
% 36.41/5.77 thf(zip_derived_cl9419, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl9409])).
% 36.41/5.77 thf(zip_derived_cl6544, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6533])).
% 36.41/5.77 thf(zip_derived_cl9458, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl9419, zip_derived_cl6544])).
% 36.41/5.77 thf(zip_derived_cl9485, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl9458])).
% 36.41/5.77 thf(zip_derived_cl1170, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1166])).
% 36.41/5.77 thf(zip_derived_cl9707, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl9485, zip_derived_cl1170])).
% 36.41/5.77 thf(zip_derived_cl9725, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl9707])).
% 36.41/5.77 thf(zip_derived_cl11217, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl11216, zip_derived_cl9725])).
% 36.41/5.77 thf(zip_derived_cl11262, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl737, zip_derived_cl11217])).
% 36.41/5.77 thf(zip_derived_cl11281, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl11262])).
% 36.41/5.77 thf(zip_derived_cl11321, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl702, zip_derived_cl11281])).
% 36.41/5.77 thf(zip_derived_cl11329, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl11321])).
% 36.41/5.77 thf(zip_derived_cl6400, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0) | ~ (ssPv1 @ X0) | (ssPv4 @ X0) | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl6386])).
% 36.41/5.77 thf(zip_derived_cl11490, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl11329, zip_derived_cl6400])).
% 36.41/5.77 thf(zip_derived_cl9134, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl9123])).
% 36.41/5.77 thf(zip_derived_cl11491, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl11490, zip_derived_cl9134])).
% 36.41/5.77 thf(zip_derived_cl11509, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl334, zip_derived_cl11491])).
% 36.41/5.77 thf(zip_derived_cl11524, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl11509])).
% 36.41/5.77 thf(zip_derived_cl334, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl330])).
% 36.41/5.77 thf(zip_derived_cl1197, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1178, zip_derived_cl136])).
% 36.41/5.77 thf(zip_derived_cl301, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl297])).
% 36.41/5.77 thf(zip_derived_cl1200, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)],
% 36.41/5.77 [zip_derived_cl1197, zip_derived_cl301])).
% 36.41/5.77 thf(zip_derived_cl136, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl135])).
% 36.41/5.77 thf(zip_derived_cl1316, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1200, zip_derived_cl136])).
% 36.41/5.77 thf(zip_derived_cl1320, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl334, zip_derived_cl1316])).
% 36.41/5.77 thf(zip_derived_cl1322, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1320])).
% 36.41/5.77 thf(zip_derived_cl584, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl580])).
% 36.41/5.77 thf(zip_derived_cl1357, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1322, zip_derived_cl584])).
% 36.41/5.77 thf(zip_derived_cl440, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl436])).
% 36.41/5.77 thf(zip_derived_cl1361, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)],
% 36.41/5.77 [zip_derived_cl1357, zip_derived_cl440])).
% 36.41/5.77 thf(zip_derived_cl1375, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1361])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl12024, plain,
% 36.41/5.77 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv4 @ X0) | (ssPv2 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl11730, zip_derived_cl8517])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl10842, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl9189, zip_derived_cl10066])).
% 36.41/5.77 thf(zip_derived_cl791, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X1 @ X2)
% 36.41/5.77 | ~ (ssPv2 @ X2)
% 36.41/5.77 | ~ (ssRr @ X0 @ X1)
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl788])).
% 36.41/5.77 thf(zip_derived_cl10848, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssRr @ X2 @ X1)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X2)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl10842, zip_derived_cl791])).
% 36.41/5.77 thf(zip_derived_cl10872, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.77 (~ (ssRr @ (skf1 @ X0) @ X2)
% 36.41/5.77 | ~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssRr @ X2 @ X1)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl10848])).
% 36.41/5.77 thf(zip_derived_cl10889, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X1)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ (skf1 @ X0)) @ X1)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl10872])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl10953, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl10889, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl12044, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.77 | ~ (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl12024, zip_derived_cl10953])).
% 36.41/5.77 thf(zip_derived_cl9146, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl9145, zip_derived_cl5872])).
% 36.41/5.77 thf(zip_derived_cl12111, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup+', [status(thm)],
% 36.41/5.77 [zip_derived_cl12044, zip_derived_cl9146])).
% 36.41/5.77 thf(zip_derived_cl12132, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl12111])).
% 36.41/5.77 thf(zip_derived_cl10842, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl9189, zip_derived_cl10066])).
% 36.41/5.77 thf(zip_derived_cl13737, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 36.41/5.77 inference('clc', [status(thm)],
% 36.41/5.77 [zip_derived_cl12132, zip_derived_cl10842])).
% 36.41/5.77 thf(zip_derived_cl1619, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1615])).
% 36.41/5.77 thf(zip_derived_cl5870, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl4234, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl13842, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl13707, zip_derived_cl3874])).
% 36.41/5.77 thf(zip_derived_cl255, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl253])).
% 36.41/5.77 thf(zip_derived_cl13858, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl13842, zip_derived_cl255])).
% 36.41/5.77 thf(zip_derived_cl13876, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv2 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl13858])).
% 36.41/5.77 thf(zip_derived_cl1510, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl1506, zip_derived_cl1197])).
% 36.41/5.77 thf(zip_derived_cl13899, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ X0) | ~ (ssPv3 @ X0) | ~ (ssPv2 @ X0) | (ssPv1 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl13876, zip_derived_cl1510])).
% 36.41/5.77 thf(zip_derived_cl13935, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl5870, zip_derived_cl13899])).
% 36.41/5.77 thf(zip_derived_cl13947, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl13935])).
% 36.41/5.77 thf(zip_derived_cl14166, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv1 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl1619, zip_derived_cl13947])).
% 36.41/5.77 thf(zip_derived_cl14172, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl14166])).
% 36.41/5.77 thf(zip_derived_cl1619, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1615])).
% 36.41/5.77 thf(zip_derived_cl1158, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl1157, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl1639, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl1619, zip_derived_cl1158])).
% 36.41/5.77 thf(zip_derived_cl1644, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1639])).
% 36.41/5.77 thf(zip_derived_cl14800, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl14172, zip_derived_cl1644])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(clause28, conjecture,
% 36.41/5.77 (~( ( ssPv4 @ W ) | ( ssPv3 @ W ) | ( ssPv1 @ Y ) |
% 36.41/5.77 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 36.41/5.77 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.77 thf(zf_stmt_34, negated_conjecture,
% 36.41/5.77 (( ssPv4 @ W ) | ( ssPv3 @ W ) | ( ssPv1 @ Y ) | ( ~( ssRr @ W @ X ) ) |
% 36.41/5.77 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) |
% 36.41/5.77 ( ~( ssRr @ U @ V ) )),
% 36.41/5.77 inference('cnf.neg', [status(esa)], [clause28])).
% 36.41/5.77 thf(zip_derived_cl27, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssRr @ X2 @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X3)
% 36.41/5.77 | ~ (ssPv4 @ X4)
% 36.41/5.77 | ~ (ssRr @ X3 @ X4))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_34])).
% 36.41/5.77 thf(zip_derived_cl559, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X1)
% 36.41/5.77 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 36.41/5.77 | ~ (ssRr @ X0 @ X2)
% 36.41/5.77 | ~ (ssPv4 @ X3)
% 36.41/5.77 | ~ (ssRr @ X2 @ X3))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl27])).
% 36.41/5.77 thf(zip_derived_cl5113, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ (skf1 @ X1) @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ X1)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl559])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl5114, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i]:
% 36.41/5.77 (~ (ssRr @ (skf1 @ X1) @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ X1)
% 36.41/5.77 | (ssPv4 @ X1))),
% 36.41/5.77 inference('demod', [status(thm)], [zip_derived_cl5113, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl5874, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv4 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl5114, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl14801, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl14800, zip_derived_cl5874])).
% 36.41/5.77 thf(zip_derived_cl77, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl14812, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0)
% 36.41/5.77 | (ssPv3 @ X0))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl14801, zip_derived_cl77])).
% 36.41/5.77 thf(zip_derived_cl14838, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl14812])).
% 36.41/5.77 thf(zip_derived_cl97, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('s_sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl0])).
% 36.41/5.77 thf(zip_derived_cl14840, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ (skf1 @ X0))) | (ssPv1 @ X0) | (ssPv2 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl14838, zip_derived_cl97])).
% 36.41/5.77 thf(zip_derived_cl14869, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl13737, zip_derived_cl14840])).
% 36.41/5.77 thf(zip_derived_cl1389, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1388])).
% 36.41/5.77 thf(zip_derived_cl967, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ X0)
% 36.41/5.77 | (ssPv2 @ X0))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl951])).
% 36.41/5.77 thf(zip_derived_cl1403, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv2 @ (skf1 @ X0)))),
% 36.41/5.77 inference('s_sup-', [status(thm)],
% 36.41/5.77 [zip_derived_cl1389, zip_derived_cl967])).
% 36.41/5.77 thf(zip_derived_cl1414, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.77 inference('simplify', [status(thm)], [zip_derived_cl1403])).
% 36.41/5.77 thf(zip_derived_cl14960, plain,
% 36.41/5.77 (![X0 : $i]:
% 36.41/5.77 ( (ssPv2 @ (skf1 @ X0))
% 36.41/5.77 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.77 | ~ (ssPv3 @ X0))),
% 36.41/5.77 inference('clc', [status(thm)], [zip_derived_cl14869, zip_derived_cl1414])).
% 36.41/5.77 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.77 thf(zip_derived_cl177, plain,
% 36.41/5.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.77 (~ (ssRr @ X3 @ X2)
% 36.41/5.77 | ~ (ssPv4 @ X2)
% 36.41/5.77 | ~ (ssRr @ X1 @ X3)
% 36.41/5.77 | ~ (ssRr @ X0 @ X4)
% 36.41/5.77 | ~ (ssPv2 @ X4)
% 36.41/5.77 | ~ (ssRr @ X1 @ X0)
% 36.41/5.77 | ~ (ssPv4 @ X0)
% 36.41/5.77 | ~ (ssPv3 @ X1))),
% 36.41/5.77 inference('eq_fact', [status(thm)], [zip_derived_cl47])).
% 36.41/5.78 thf(zip_derived_cl271, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X2)
% 36.41/5.78 | ~ (ssPv4 @ X1)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('eq_fact', [status(thm)], [zip_derived_cl177])).
% 36.41/5.78 thf(zip_derived_cl273, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1)
% 36.41/5.78 | ~ (ssPv4 @ X1)
% 36.41/5.78 | ~ (ssPv3 @ X2))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl271])).
% 36.41/5.78 thf(zip_derived_cl275, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X1))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl273])).
% 36.41/5.78 thf(zip_derived_cl14963, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X1))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl14960, zip_derived_cl275])).
% 36.41/5.78 thf(zip_derived_cl14985, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X1)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl14963])).
% 36.41/5.78 thf(zip_derived_cl13334, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl13333, zip_derived_cl6500])).
% 36.41/5.78 thf(zip_derived_cl1389, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1388])).
% 36.41/5.78 thf(zip_derived_cl13340, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup+', [status(thm)],
% 36.41/5.78 [zip_derived_cl13334, zip_derived_cl1389])).
% 36.41/5.78 thf(zip_derived_cl9146, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl9145, zip_derived_cl5872])).
% 36.41/5.78 thf(zip_derived_cl14181, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl13340, zip_derived_cl9146])).
% 36.41/5.78 thf(zip_derived_cl10842, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl9189, zip_derived_cl10066])).
% 36.41/5.78 thf(zip_derived_cl14182, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl14181, zip_derived_cl10842])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl572, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl568])).
% 36.41/5.78 thf(zip_derived_cl275, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X1))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl273])).
% 36.41/5.78 thf(zip_derived_cl575, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X1))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl572, zip_derived_cl275])).
% 36.41/5.78 thf(zip_derived_cl5306, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl575])).
% 36.41/5.78 thf(zip_derived_cl5307, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl5306])).
% 36.41/5.78 thf(zip_derived_cl14205, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl14182, zip_derived_cl5307])).
% 36.41/5.78 thf(zip_derived_cl14223, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl14205])).
% 36.41/5.78 thf(zip_derived_cl15001, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X1))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl14985, zip_derived_cl14223])).
% 36.41/5.78 thf(zip_derived_cl15002, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl15001])).
% 36.41/5.78 thf(zip_derived_cl14801, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl14800, zip_derived_cl5874])).
% 36.41/5.78 thf(zip_derived_cl15008, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15002, zip_derived_cl14801])).
% 36.41/5.78 thf(zip_derived_cl17566, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl1375, zip_derived_cl15008])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(clause41, conjecture,
% 36.41/5.78 (~( ( ssPv1 @ Y ) | ( ssPv4 @ V ) | ( ~( ssPv1 @ W ) ) |
% 36.41/5.78 ( ~( ssPv1 @ Z ) ) | ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 36.41/5.78 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.78 thf(zf_stmt_35, negated_conjecture,
% 36.41/5.78 (( ssPv1 @ Y ) | ( ssPv4 @ V ) | ( ~( ssPv1 @ W ) ) | ( ~( ssPv1 @ Z ) ) |
% 36.41/5.78 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 36.41/5.78 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.78 inference('cnf.neg', [status(esa)], [clause41])).
% 36.41/5.78 thf(zip_derived_cl40, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X1)
% 36.41/5.78 | ~ (ssPv1 @ X2)
% 36.41/5.78 | ~ (ssPv1 @ X3)
% 36.41/5.78 | ~ (ssRr @ X2 @ X3)
% 36.41/5.78 | ~ (ssRr @ X2 @ X4)
% 36.41/5.78 | ~ (ssRr @ X4 @ X0)
% 36.41/5.78 | ~ (ssRr @ X2 @ X5)
% 36.41/5.78 | ~ (ssRr @ X5 @ X1))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_35])).
% 36.41/5.78 thf(zip_derived_cl1189, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.78 (~ (ssRr @ X3 @ X2)
% 36.41/5.78 | ~ (ssRr @ X1 @ X3)
% 36.41/5.78 | ~ (ssRr @ X0 @ X4)
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X1)
% 36.41/5.78 | (ssPv4 @ X2)
% 36.41/5.78 | (ssPv1 @ X4))),
% 36.41/5.78 inference('eq_fact', [status(thm)], [zip_derived_cl40])).
% 36.41/5.78 thf(zip_derived_cl14873, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X2)
% 36.41/5.78 | ~ (ssPv1 @ X1)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1)
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1))),
% 36.41/5.78 inference('eq_fact', [status(thm)], [zip_derived_cl1189])).
% 36.41/5.78 thf(zip_derived_cl14875, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1)
% 36.41/5.78 | ~ (ssPv1 @ X1)
% 36.41/5.78 | ~ (ssPv1 @ X2)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl14873])).
% 36.41/5.78 thf(zip_derived_cl14944, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X1)
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14875])).
% 36.41/5.78 thf(zip_derived_cl15007, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14944])).
% 36.41/5.78 thf(zip_derived_cl8301, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl8299])).
% 36.41/5.78 thf(zip_derived_cl15007, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14944])).
% 36.41/5.78 thf(zip_derived_cl13334, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl13333, zip_derived_cl6500])).
% 36.41/5.78 thf(zip_derived_cl440, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl436])).
% 36.41/5.78 thf(zip_derived_cl13338, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup+', [status(thm)],
% 36.41/5.78 [zip_derived_cl13334, zip_derived_cl440])).
% 36.41/5.78 thf(zip_derived_cl11697, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl5734, zip_derived_cl584])).
% 36.41/5.78 thf(zip_derived_cl14032, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl13338, zip_derived_cl11697])).
% 36.41/5.78 thf(zip_derived_cl15144, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl15007, zip_derived_cl14032])).
% 36.41/5.78 thf(zip_derived_cl15168, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl15144])).
% 36.41/5.78 thf(zip_derived_cl11697, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl5734, zip_derived_cl584])).
% 36.41/5.78 thf(zip_derived_cl15176, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0))) | ~ (ssPv1 @ X0) | (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15168, zip_derived_cl11697])).
% 36.41/5.78 thf(zip_derived_cl14801, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl14800, zip_derived_cl5874])).
% 36.41/5.78 thf(zip_derived_cl417, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl401])).
% 36.41/5.78 thf(zip_derived_cl14817, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl14801, zip_derived_cl417])).
% 36.41/5.78 thf(zip_derived_cl15204, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl15176, zip_derived_cl14817])).
% 36.41/5.78 thf(zip_derived_cl15209, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl15204])).
% 36.41/5.78 thf(zip_derived_cl12024, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv4 @ X0) | (ssPv2 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl11730, zip_derived_cl8517])).
% 36.41/5.78 thf(zip_derived_cl15494, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15209, zip_derived_cl12024])).
% 36.41/5.78 thf(zip_derived_cl13737, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl12132, zip_derived_cl10842])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(clause43, conjecture,
% 36.41/5.78 (~( ( ssPv3 @ Z ) | ( ssPv2 @ Y ) | ( ~( ssPv4 @ W ) ) |
% 36.41/5.78 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 36.41/5.78 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) |
% 36.41/5.78 ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.78 thf(zf_stmt_36, negated_conjecture,
% 36.41/5.78 (( ssPv3 @ Z ) | ( ssPv2 @ Y ) | ( ~( ssPv4 @ W ) ) |
% 36.41/5.78 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 36.41/5.78 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.78 inference('cnf.neg', [status(esa)], [clause43])).
% 36.41/5.78 thf(zip_derived_cl42, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.41/5.78 ( (ssPv3 @ X0)
% 36.41/5.78 | (ssPv2 @ X1)
% 36.41/5.78 | ~ (ssPv4 @ X2)
% 36.41/5.78 | ~ (ssRr @ X2 @ X0)
% 36.41/5.78 | ~ (ssRr @ X2 @ X3)
% 36.41/5.78 | ~ (ssRr @ X3 @ X1)
% 36.41/5.78 | ~ (ssRr @ X2 @ X4)
% 36.41/5.78 | ~ (ssPv4 @ X5)
% 36.41/5.78 | ~ (ssRr @ X4 @ X5))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_36])).
% 36.41/5.78 thf(zip_derived_cl1291, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.78 (~ (ssRr @ X3 @ X2)
% 36.41/5.78 | ~ (ssPv4 @ X2)
% 36.41/5.78 | ~ (ssRr @ X1 @ X3)
% 36.41/5.78 | ~ (ssRr @ X0 @ X4)
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X1)
% 36.41/5.78 | (ssPv2 @ X4)
% 36.41/5.78 | (ssPv3 @ X0))),
% 36.41/5.78 inference('eq_fact', [status(thm)], [zip_derived_cl42])).
% 36.41/5.78 thf(zip_derived_cl16055, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 ( (ssPv3 @ X1)
% 36.41/5.78 | (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X2)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1)
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('eq_fact', [status(thm)], [zip_derived_cl1291])).
% 36.41/5.78 thf(zip_derived_cl16058, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1)
% 36.41/5.78 | ~ (ssPv4 @ X2)
% 36.41/5.78 | (ssPv2 @ X0)
% 36.41/5.78 | (ssPv3 @ X1))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16055])).
% 36.41/5.78 thf(zip_derived_cl16062, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X1)
% 36.41/5.78 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl16058])).
% 36.41/5.78 thf(zip_derived_cl16068, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl16062])).
% 36.41/5.78 thf(zip_derived_cl10953, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 36.41/5.78 inference('s_sup+', [status(thm)], [zip_derived_cl10889, zip_derived_cl0])).
% 36.41/5.78 thf(zip_derived_cl16095, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl16068, zip_derived_cl10953])).
% 36.41/5.78 thf(zip_derived_cl16106, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16095])).
% 36.41/5.78 thf(zip_derived_cl1389, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1388])).
% 36.41/5.78 thf(zip_derived_cl16107, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl16106, zip_derived_cl1389])).
% 36.41/5.78 thf(zip_derived_cl16134, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl13737, zip_derived_cl16107])).
% 36.41/5.78 thf(zip_derived_cl16138, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16134])).
% 36.41/5.78 thf(zip_derived_cl1389, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1388])).
% 36.41/5.78 thf(zip_derived_cl16144, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl16138, zip_derived_cl1389])).
% 36.41/5.78 thf(zip_derived_cl109, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl106])).
% 36.41/5.78 thf(zip_derived_cl16169, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl16144, zip_derived_cl109])).
% 36.41/5.78 thf(zip_derived_cl16178, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16169])).
% 36.41/5.78 thf(zip_derived_cl15008, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15002, zip_derived_cl14801])).
% 36.41/5.78 thf(zip_derived_cl16260, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup+', [status(thm)],
% 36.41/5.78 [zip_derived_cl16178, zip_derived_cl15008])).
% 36.41/5.78 thf(zip_derived_cl10842, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl9189, zip_derived_cl10066])).
% 36.41/5.78 thf(zip_derived_cl2595, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl2594, zip_derived_cl255])).
% 36.41/5.78 thf(zip_derived_cl10863, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl10842, zip_derived_cl2595])).
% 36.41/5.78 thf(zip_derived_cl10880, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl10863])).
% 36.41/5.78 thf(zip_derived_cl16282, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16260, zip_derived_cl10880])).
% 36.41/5.78 thf(zip_derived_cl14182, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl14181, zip_derived_cl10842])).
% 36.41/5.78 thf(zip_derived_cl16283, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16282, zip_derived_cl14182])).
% 36.41/5.78 thf(zip_derived_cl440, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl436])).
% 36.41/5.78 thf(zip_derived_cl16288, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup+', [status(thm)],
% 36.41/5.78 [zip_derived_cl16283, zip_derived_cl440])).
% 36.41/5.78 thf(zip_derived_cl15176, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0))) | ~ (ssPv1 @ X0) | (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15168, zip_derived_cl11697])).
% 36.41/5.78 thf(zip_derived_cl16546, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16288, zip_derived_cl15176])).
% 36.41/5.78 thf(zip_derived_cl307, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl306])).
% 36.41/5.78 thf(zip_derived_cl265, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv1 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl263])).
% 36.41/5.78 thf(zip_derived_cl9394, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl9393, zip_derived_cl7157])).
% 36.41/5.78 thf(zip_derived_cl9408, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl265, zip_derived_cl9394])).
% 36.41/5.78 thf(zip_derived_cl9418, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | (ssPv1 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl9408])).
% 36.41/5.78 thf(zip_derived_cl941, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | (ssPv2 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl937])).
% 36.41/5.78 thf(zip_derived_cl10206, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl9418, zip_derived_cl941])).
% 36.41/5.78 thf(zip_derived_cl292, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl289])).
% 36.41/5.78 thf(zip_derived_cl10221, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl10206, zip_derived_cl292])).
% 36.41/5.78 thf(zip_derived_cl10254, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl10221])).
% 36.41/5.78 thf(zip_derived_cl10346, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl307, zip_derived_cl10254])).
% 36.41/5.78 thf(zip_derived_cl10372, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl10346])).
% 36.41/5.78 thf(zip_derived_cl3986, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl3983, zip_derived_cl1025])).
% 36.41/5.78 thf(zip_derived_cl10670, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl10372, zip_derived_cl3986])).
% 36.41/5.78 thf(zip_derived_cl16547, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16546, zip_derived_cl10670])).
% 36.41/5.78 thf(zip_derived_cl16559, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl15494, zip_derived_cl16547])).
% 36.41/5.78 thf(zip_derived_cl16569, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16559])).
% 36.41/5.78 thf(zip_derived_cl16592, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl8301, zip_derived_cl16569])).
% 36.41/5.78 thf(zip_derived_cl16601, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16592])).
% 36.41/5.78 thf(zip_derived_cl13334, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl13333, zip_derived_cl6500])).
% 36.41/5.78 thf(zip_derived_cl16654, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ X0)) | ~ (ssPv4 @ X0) | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16601, zip_derived_cl13334])).
% 36.41/5.78 thf(zip_derived_cl16677, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl15007, zip_derived_cl16654])).
% 36.41/5.78 thf(zip_derived_cl16681, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16677])).
% 36.41/5.78 thf(zip_derived_cl15007, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14944])).
% 36.41/5.78 thf(zip_derived_cl15494, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15209, zip_derived_cl12024])).
% 36.41/5.78 thf(zip_derived_cl13334, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl13333, zip_derived_cl6500])).
% 36.41/5.78 thf(zip_derived_cl15513, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl15494, zip_derived_cl13334])).
% 36.41/5.78 thf(zip_derived_cl13154, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl13140])).
% 36.41/5.78 thf(zip_derived_cl15823, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15513, zip_derived_cl13154])).
% 36.41/5.78 thf(zip_derived_cl15848, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl15007, zip_derived_cl15823])).
% 36.41/5.78 thf(zip_derived_cl15856, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl15848])).
% 36.41/5.78 thf(zip_derived_cl16687, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16681, zip_derived_cl15856])).
% 36.41/5.78 thf(zip_derived_cl17567, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17566, zip_derived_cl16687])).
% 36.41/5.78 thf(zip_derived_cl10206, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl9418, zip_derived_cl941])).
% 36.41/5.78 thf(zip_derived_cl17568, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17567, zip_derived_cl10206])).
% 36.41/5.78 thf(zip_derived_cl334, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl330])).
% 36.41/5.78 thf(zip_derived_cl301, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl297])).
% 36.41/5.78 thf(zip_derived_cl1357, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl1322, zip_derived_cl584])).
% 36.41/5.78 thf(zip_derived_cl1365, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl301, zip_derived_cl1357])).
% 36.41/5.78 thf(zip_derived_cl1370, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl1365])).
% 36.41/5.78 thf(zip_derived_cl11217, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl11216, zip_derived_cl9725])).
% 36.41/5.78 thf(zip_derived_cl17180, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl1370, zip_derived_cl11217])).
% 36.41/5.78 thf(zip_derived_cl16547, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16546, zip_derived_cl10670])).
% 36.41/5.78 thf(zip_derived_cl17181, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17180, zip_derived_cl16547])).
% 36.41/5.78 thf(zip_derived_cl17194, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl334, zip_derived_cl17181])).
% 36.41/5.78 thf(zip_derived_cl17205, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl17194])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl14182, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl14181, zip_derived_cl10842])).
% 36.41/5.78 thf(zip_derived_cl15008, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15002, zip_derived_cl14801])).
% 36.41/5.78 thf(zip_derived_cl61, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X1)
% 36.41/5.78 | ~ (ssPv2 @ X1))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl59])).
% 36.41/5.78 thf(zip_derived_cl15009, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X1)
% 36.41/5.78 | ~ (ssPv2 @ X1))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl15008, zip_derived_cl61])).
% 36.41/5.78 thf(zip_derived_cl15224, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X1)
% 36.41/5.78 | ~ (ssPv2 @ X1))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl14182, zip_derived_cl15009])).
% 36.41/5.78 thf(zip_derived_cl15235, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X1)
% 36.41/5.78 | ~ (ssPv1 @ X1)
% 36.41/5.78 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl15224])).
% 36.41/5.78 thf(zip_derived_cl15236, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl15235])).
% 36.41/5.78 thf(zip_derived_cl7157, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl7142])).
% 36.41/5.78 thf(zip_derived_cl15237, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl15236, zip_derived_cl7157])).
% 36.41/5.78 thf(zip_derived_cl6400, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv2 @ X0) | ~ (ssPv1 @ X0) | (ssPv4 @ X0) | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl6386])).
% 36.41/5.78 thf(zip_derived_cl9419, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl9409])).
% 36.41/5.78 thf(zip_derived_cl301, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl297])).
% 36.41/5.78 thf(zip_derived_cl584, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl580])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl334, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl330])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl22, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X1)
% 36.41/5.78 | ~ (ssRr @ X0 @ X1)
% 36.41/5.78 | ~ (ssRr @ X0 @ X2)
% 36.41/5.78 | ~ (ssPv1 @ X3)
% 36.41/5.78 | ~ (ssRr @ X2 @ X3))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_33])).
% 36.41/5.78 thf(zip_derived_cl58, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X0 @ X1)
% 36.41/5.78 | ~ (ssPv1 @ X2)
% 36.41/5.78 | ~ (ssRr @ X1 @ X2))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl22])).
% 36.41/5.78 thf(zip_derived_cl338, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 36.41/5.78 | ~ (ssPv1 @ X2)
% 36.41/5.78 | ~ (ssRr @ X1 @ X2))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl334, zip_derived_cl58])).
% 36.41/5.78 thf(zip_derived_cl691, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X1)
% 36.41/5.78 | ~ (ssRr @ (skf1 @ (skf1 @ X0)) @ X1))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl338])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl728, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('s_sup+', [status(thm)], [zip_derived_cl691, zip_derived_cl0])).
% 36.41/5.78 thf(zip_derived_cl748, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl584, zip_derived_cl728])).
% 36.41/5.78 thf(zip_derived_cl109, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl106])).
% 36.41/5.78 thf(zip_derived_cl6911, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl748, zip_derived_cl109])).
% 36.41/5.78 thf(zip_derived_cl3783, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl3776, zip_derived_cl985])).
% 36.41/5.78 thf(zip_derived_cl6912, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl6911, zip_derived_cl3783])).
% 36.41/5.78 thf(zip_derived_cl3783, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl3776, zip_derived_cl985])).
% 36.41/5.78 thf(zip_derived_cl6913, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl6912, zip_derived_cl3783])).
% 36.41/5.78 thf(zip_derived_cl6932, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl301, zip_derived_cl6913])).
% 36.41/5.78 thf(zip_derived_cl6942, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl6932])).
% 36.41/5.78 thf(zip_derived_cl9462, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl9419, zip_derived_cl6942])).
% 36.41/5.78 thf(zip_derived_cl9489, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl9462])).
% 36.41/5.78 thf(zip_derived_cl9518, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl6400, zip_derived_cl9489])).
% 36.41/5.78 thf(zip_derived_cl9540, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl9518])).
% 36.41/5.78 thf(zip_derived_cl3986, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl3983, zip_derived_cl1025])).
% 36.41/5.78 thf(zip_derived_cl10026, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl9540, zip_derived_cl3986])).
% 36.41/5.78 thf(zip_derived_cl9394, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl9393, zip_derived_cl7157])).
% 36.41/5.78 thf(zip_derived_cl10027, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl10026, zip_derived_cl9394])).
% 36.41/5.78 thf(zip_derived_cl15238, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15237, zip_derived_cl10027])).
% 36.41/5.78 thf(zip_derived_cl17331, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17205, zip_derived_cl15238])).
% 36.41/5.78 thf(zip_derived_cl16687, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16681, zip_derived_cl15856])).
% 36.41/5.78 thf(zip_derived_cl1619, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1615])).
% 36.41/5.78 thf(zip_derived_cl16283, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16282, zip_derived_cl14182])).
% 36.41/5.78 thf(zip_derived_cl16300, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl1619, zip_derived_cl16283])).
% 36.41/5.78 thf(zip_derived_cl16305, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16300])).
% 36.41/5.78 thf(zip_derived_cl16708, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl16687, zip_derived_cl16305])).
% 36.41/5.78 thf(zip_derived_cl16547, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16546, zip_derived_cl10670])).
% 36.41/5.78 thf(zip_derived_cl16762, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16708, zip_derived_cl16547])).
% 36.41/5.78 thf(zip_derived_cl17332, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17331, zip_derived_cl16762])).
% 36.41/5.78 thf(zip_derived_cl16144, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl16138, zip_derived_cl1389])).
% 36.41/5.78 thf(zip_derived_cl17342, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup+', [status(thm)],
% 36.41/5.78 [zip_derived_cl17332, zip_derived_cl16144])).
% 36.41/5.78 thf(zip_derived_cl17606, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl17568, zip_derived_cl17342])).
% 36.41/5.78 thf(zip_derived_cl17635, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl17606])).
% 36.41/5.78 thf(zip_derived_cl13334, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl13333, zip_derived_cl6500])).
% 36.41/5.78 thf(zip_derived_cl17638, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17635, zip_derived_cl13334])).
% 36.41/5.78 thf(zip_derived_cl17666, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl11524, zip_derived_cl17638])).
% 36.41/5.78 thf(zip_derived_cl17683, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl17666])).
% 36.41/5.78 thf(zip_derived_cl16283, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16282, zip_derived_cl14182])).
% 36.41/5.78 thf(zip_derived_cl17971, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17683, zip_derived_cl16283])).
% 36.41/5.78 thf(zip_derived_cl16762, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16708, zip_derived_cl16547])).
% 36.41/5.78 thf(zip_derived_cl17972, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17971, zip_derived_cl16762])).
% 36.41/5.78 thf(zip_derived_cl17987, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl440, zip_derived_cl17972])).
% 36.41/5.78 thf(zip_derived_cl17995, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl17987])).
% 36.41/5.78 thf(zip_derived_cl292, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl289])).
% 36.41/5.78 thf(zip_derived_cl18034, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl17995, zip_derived_cl292])).
% 36.41/5.78 thf(zip_derived_cl18047, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl12586, zip_derived_cl18034])).
% 36.41/5.78 thf(zip_derived_cl18058, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl18047])).
% 36.41/5.78 thf(zip_derived_cl16654, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ X0)) | ~ (ssPv4 @ X0) | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16601, zip_derived_cl13334])).
% 36.41/5.78 thf(zip_derived_cl18151, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18058, zip_derived_cl16654])).
% 36.41/5.78 thf(zip_derived_cl18169, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl14690, zip_derived_cl18151])).
% 36.41/5.78 thf(zip_derived_cl18176, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl18169])).
% 36.41/5.78 thf(zip_derived_cl8301, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl8299])).
% 36.41/5.78 thf(zip_derived_cl15823, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15513, zip_derived_cl13154])).
% 36.41/5.78 thf(zip_derived_cl15844, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl8301, zip_derived_cl15823])).
% 36.41/5.78 thf(zip_derived_cl15855, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl15844])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl12586, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl12570])).
% 36.41/5.78 thf(zip_derived_cl412, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X1)
% 36.41/5.78 | (ssPv2 @ X1))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl406])).
% 36.41/5.78 thf(zip_derived_cl12592, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X1)
% 36.41/5.78 | (ssPv2 @ X1))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl12586, zip_derived_cl412])).
% 36.41/5.78 thf(zip_derived_cl12625, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 ( (ssPv2 @ X1)
% 36.41/5.78 | ~ (ssPv3 @ X1)
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl12592])).
% 36.41/5.78 thf(zip_derived_cl12644, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl12625])).
% 36.41/5.78 thf(zip_derived_cl15886, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl15855, zip_derived_cl12644])).
% 36.41/5.78 thf(zip_derived_cl15908, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl15886])).
% 36.41/5.78 thf(zip_derived_cl6652, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl6636])).
% 36.41/5.78 thf(zip_derived_cl15958, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl15908, zip_derived_cl6652])).
% 36.41/5.78 thf(zip_derived_cl18188, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18176, zip_derived_cl15958])).
% 36.41/5.78 thf(zip_derived_cl18206, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl5872, zip_derived_cl18188])).
% 36.41/5.78 thf(zip_derived_cl18215, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl18206])).
% 36.41/5.78 thf(zip_derived_cl702, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl700])).
% 36.41/5.78 thf(zip_derived_cl16283, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16282, zip_derived_cl14182])).
% 36.41/5.78 thf(zip_derived_cl16299, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl702, zip_derived_cl16283])).
% 36.41/5.78 thf(zip_derived_cl265, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv1 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl263])).
% 36.41/5.78 thf(zip_derived_cl16283, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16282, zip_derived_cl14182])).
% 36.41/5.78 thf(zip_derived_cl16296, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl265, zip_derived_cl16283])).
% 36.41/5.78 thf(zip_derived_cl16304, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | (ssPv1 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16296])).
% 36.41/5.78 thf(zip_derived_cl14840, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ (skf1 @ X0))) | (ssPv1 @ X0) | (ssPv2 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl14838, zip_derived_cl97])).
% 36.41/5.78 thf(zip_derived_cl16308, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16304, zip_derived_cl14840])).
% 36.41/5.78 thf(zip_derived_cl16446, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16299, zip_derived_cl16308])).
% 36.41/5.78 thf(zip_derived_cl18264, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv4 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18215, zip_derived_cl16446])).
% 36.41/5.78 thf(zip_derived_cl18658, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18657, zip_derived_cl18264])).
% 36.41/5.78 thf(zip_derived_cl16547, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16546, zip_derived_cl10670])).
% 36.41/5.78 thf(zip_derived_cl18659, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0) | (ssPv2 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18658, zip_derived_cl16547])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl334, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl330])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl14182, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl14181, zip_derived_cl10842])).
% 36.41/5.78 thf(zip_derived_cl500, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssRr @ X3 @ X2)
% 36.41/5.78 | ~ (ssPv2 @ X2)
% 36.41/5.78 | ~ (ssRr @ X1 @ X3)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X1))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl179])).
% 36.41/5.78 thf(zip_derived_cl14186, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X3 @ X2)
% 36.41/5.78 | ~ (ssPv2 @ X2)
% 36.41/5.78 | ~ (ssRr @ X1 @ X3)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X1))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl14182, zip_derived_cl500])).
% 36.41/5.78 thf(zip_derived_cl14215, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X1)
% 36.41/5.78 | ~ (ssRr @ X1 @ X3)
% 36.41/5.78 | ~ (ssPv2 @ X2)
% 36.41/5.78 | ~ (ssRr @ X3 @ X2)
% 36.41/5.78 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl14186])).
% 36.41/5.78 thf(zip_derived_cl14391, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssRr @ X0 @ X1)
% 36.41/5.78 | ~ (ssPv2 @ X2)
% 36.41/5.78 | ~ (ssRr @ X1 @ X2)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14215])).
% 36.41/5.78 thf(zip_derived_cl14394, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X1 @ X2)
% 36.41/5.78 | ~ (ssPv2 @ X2)
% 36.41/5.78 | ~ (ssRr @ X0 @ X1)
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl14391])).
% 36.41/5.78 thf(zip_derived_cl14396, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X2 @ X1)
% 36.41/5.78 | ~ (ssPv2 @ X1)
% 36.41/5.78 | ~ (ssRr @ (skf1 @ X0) @ X2)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl334, zip_derived_cl14394])).
% 36.41/5.78 thf(zip_derived_cl14410, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssRr @ (skf1 @ X0) @ X2)
% 36.41/5.78 | ~ (ssPv2 @ X1)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl14396])).
% 36.41/5.78 thf(zip_derived_cl14412, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X1)
% 36.41/5.78 | ~ (ssRr @ (skf1 @ (skf1 @ X0)) @ X1)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14410])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl14414, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 36.41/5.78 inference('s_sup+', [status(thm)], [zip_derived_cl14412, zip_derived_cl0])).
% 36.41/5.78 thf(zip_derived_cl18679, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl18659, zip_derived_cl14414])).
% 36.41/5.78 thf(zip_derived_cl334, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl330])).
% 36.41/5.78 thf(zip_derived_cl20124, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl18679, zip_derived_cl334])).
% 36.41/5.78 thf(zip_derived_cl10206, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl9418, zip_derived_cl941])).
% 36.41/5.78 thf(zip_derived_cl301, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl297])).
% 36.41/5.78 thf(zip_derived_cl16687, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16681, zip_derived_cl15856])).
% 36.41/5.78 thf(zip_derived_cl15008, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15002, zip_derived_cl14801])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl14690, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl14123, zip_derived_cl13842])).
% 36.41/5.78 thf(zip_derived_cl58, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X0 @ X1)
% 36.41/5.78 | ~ (ssPv1 @ X2)
% 36.41/5.78 | ~ (ssRr @ X1 @ X2))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl22])).
% 36.41/5.78 thf(zip_derived_cl14691, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 36.41/5.78 | ~ (ssPv1 @ X2)
% 36.41/5.78 | ~ (ssRr @ X1 @ X2))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl14690, zip_derived_cl58])).
% 36.41/5.78 thf(zip_derived_cl14720, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssRr @ X1 @ X2)
% 36.41/5.78 | ~ (ssPv1 @ X2)
% 36.41/5.78 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl14691])).
% 36.41/5.78 thf(zip_derived_cl14755, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssRr @ (skf1 @ (skf1 @ X0)) @ X1)
% 36.41/5.78 | ~ (ssPv1 @ X1)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14720])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl14762, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 36.41/5.78 inference('s_sup+', [status(thm)], [zip_derived_cl14755, zip_derived_cl0])).
% 36.41/5.78 thf(zip_derived_cl15044, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl15008, zip_derived_cl14762])).
% 36.41/5.78 thf(zip_derived_cl16713, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl16687, zip_derived_cl15044])).
% 36.41/5.78 thf(zip_derived_cl16720, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16713])).
% 36.41/5.78 thf(zip_derived_cl16741, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl301, zip_derived_cl16720])).
% 36.41/5.78 thf(zip_derived_cl16751, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16741])).
% 36.41/5.78 thf(zip_derived_cl450, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl449, zip_derived_cl168])).
% 36.41/5.78 thf(zip_derived_cl16830, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl16751, zip_derived_cl450])).
% 36.41/5.78 thf(zip_derived_cl16849, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl10206, zip_derived_cl16830])).
% 36.41/5.78 thf(zip_derived_cl16857, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16849])).
% 36.41/5.78 thf(zip_derived_cl15238, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15237, zip_derived_cl10027])).
% 36.41/5.78 thf(zip_derived_cl19666, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16857, zip_derived_cl15238])).
% 36.41/5.78 thf(zip_derived_cl15238, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15237, zip_derived_cl10027])).
% 36.41/5.78 thf(zip_derived_cl19667, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl19666, zip_derived_cl15238])).
% 36.41/5.78 thf(zip_derived_cl941, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | (ssPv2 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl937])).
% 36.41/5.78 thf(zip_derived_cl18188, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18176, zip_derived_cl15958])).
% 36.41/5.78 thf(zip_derived_cl18204, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv2 @ X0)
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl941, zip_derived_cl18188])).
% 36.41/5.78 thf(zip_derived_cl18213, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | (ssPv2 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl18204])).
% 36.41/5.78 thf(zip_derived_cl16308, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16304, zip_derived_cl14840])).
% 36.41/5.78 thf(zip_derived_cl18324, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18213, zip_derived_cl16308])).
% 36.41/5.78 thf(zip_derived_cl19668, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv3 @ (skf1 @ X0)) | (ssPv1 @ X0) | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl19667, zip_derived_cl18324])).
% 36.41/5.78 thf(zip_derived_cl20125, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl20124, zip_derived_cl19668])).
% 36.41/5.78 thf(zip_derived_cl1414, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl1403])).
% 36.41/5.78 thf(zip_derived_cl737, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv2 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl734])).
% 36.41/5.78 thf(zip_derived_cl522, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl510])).
% 36.41/5.78 thf(zip_derived_cl743, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl737, zip_derived_cl522])).
% 36.41/5.78 thf(zip_derived_cl745, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv2 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl743])).
% 36.41/5.78 thf(zip_derived_cl1488, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv2 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl1414, zip_derived_cl745])).
% 36.41/5.78 thf(zip_derived_cl1497, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl1488])).
% 36.41/5.78 thf(zip_derived_cl16068, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl16062])).
% 36.41/5.78 thf(zip_derived_cl17568, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17567, zip_derived_cl10206])).
% 36.41/5.78 thf(zip_derived_cl15856, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl15848])).
% 36.41/5.78 thf(zip_derived_cl12586, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl12570])).
% 36.41/5.78 thf(zip_derived_cl16569, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16559])).
% 36.41/5.78 thf(zip_derived_cl16586, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl12586, zip_derived_cl16569])).
% 36.41/5.78 thf(zip_derived_cl16599, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16586])).
% 36.41/5.78 thf(zip_derived_cl16639, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl15856, zip_derived_cl16599])).
% 36.41/5.78 thf(zip_derived_cl16646, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16639])).
% 36.41/5.78 thf(zip_derived_cl13334, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl13333, zip_derived_cl6500])).
% 36.41/5.78 thf(zip_derived_cl16793, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ X0) | ~ (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16646, zip_derived_cl13334])).
% 36.41/5.78 thf(zip_derived_cl17584, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl17568, zip_derived_cl16793])).
% 36.41/5.78 thf(zip_derived_cl17623, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl17584])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl12586, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl12570])).
% 36.41/5.78 thf(zip_derived_cl266, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | (ssPv3 @ X1)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X0 @ X2)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl15])).
% 36.41/5.78 thf(zip_derived_cl12589, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | (ssPv3 @ X1)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssRr @ X0 @ X2)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl12586, zip_derived_cl266])).
% 36.41/5.78 thf(zip_derived_cl12624, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssRr @ X2 @ X1)
% 36.41/5.78 | ~ (ssRr @ X0 @ X2)
% 36.41/5.78 | (ssPv3 @ X1)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl12589])).
% 36.41/5.78 thf(zip_derived_cl12646, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssRr @ X1 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X1))
% 36.41/5.78 | (ssPv4 @ X1)
% 36.41/5.78 | ~ (ssPv1 @ X1))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl12624])).
% 36.41/5.78 thf(zip_derived_cl12698, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl12646])).
% 36.41/5.78 thf(zip_derived_cl16283, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16282, zip_derived_cl14182])).
% 36.41/5.78 thf(zip_derived_cl16302, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl12698, zip_derived_cl16283])).
% 36.41/5.78 thf(zip_derived_cl16308, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16304, zip_derived_cl14840])).
% 36.41/5.78 thf(zip_derived_cl16900, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16302, zip_derived_cl16308])).
% 36.41/5.78 thf(zip_derived_cl17795, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl17623, zip_derived_cl16900])).
% 36.41/5.78 thf(zip_derived_cl17814, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl17795])).
% 36.41/5.78 thf(zip_derived_cl17623, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl17584])).
% 36.41/5.78 thf(zip_derived_cl16305, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16300])).
% 36.41/5.78 thf(zip_derived_cl17791, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl17623, zip_derived_cl16305])).
% 36.41/5.78 thf(zip_derived_cl17811, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl17791])).
% 36.41/5.78 thf(zip_derived_cl16547, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16546, zip_derived_cl10670])).
% 36.41/5.78 thf(zip_derived_cl17896, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17811, zip_derived_cl16547])).
% 36.41/5.78 thf(zip_derived_cl17638, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17635, zip_derived_cl13334])).
% 36.41/5.78 thf(zip_derived_cl12024, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv4 @ X0) | (ssPv2 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl11730, zip_derived_cl8517])).
% 36.41/5.78 thf(zip_derived_cl17639, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup+', [status(thm)],
% 36.41/5.78 [zip_derived_cl17638, zip_derived_cl12024])).
% 36.41/5.78 thf(zip_derived_cl17688, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl17639])).
% 36.41/5.78 thf(zip_derived_cl16283, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16282, zip_derived_cl14182])).
% 36.41/5.78 thf(zip_derived_cl17700, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0) | ~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17688, zip_derived_cl16283])).
% 36.41/5.78 thf(zip_derived_cl17897, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17896, zip_derived_cl17700])).
% 36.41/5.78 thf(zip_derived_cl18552, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17814, zip_derived_cl17897])).
% 36.41/5.78 thf(zip_derived_cl13899, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0) | ~ (ssPv3 @ X0) | ~ (ssPv2 @ X0) | (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl13876, zip_derived_cl1510])).
% 36.41/5.78 thf(zip_derived_cl18553, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18552, zip_derived_cl13899])).
% 36.41/5.78 thf(zip_derived_cl18589, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl16068, zip_derived_cl18553])).
% 36.41/5.78 thf(zip_derived_cl18597, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl18589])).
% 36.41/5.78 thf(zip_derived_cl16283, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16282, zip_derived_cl14182])).
% 36.41/5.78 thf(zip_derived_cl18608, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18597, zip_derived_cl16283])).
% 36.41/5.78 thf(zip_derived_cl16144, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl16138, zip_derived_cl1389])).
% 36.41/5.78 thf(zip_derived_cl18618, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup+', [status(thm)],
% 36.41/5.78 [zip_derived_cl18608, zip_derived_cl16144])).
% 36.41/5.78 thf(zip_derived_cl14182, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl14181, zip_derived_cl10842])).
% 36.41/5.78 thf(zip_derived_cl18686, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18618, zip_derived_cl14182])).
% 36.41/5.78 thf(zip_derived_cl18980, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv2 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl1497, zip_derived_cl18686])).
% 36.41/5.78 thf(zip_derived_cl16283, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16282, zip_derived_cl14182])).
% 36.41/5.78 thf(zip_derived_cl18981, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18980, zip_derived_cl16283])).
% 36.41/5.78 thf(zip_derived_cl9134, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv2 @ X0)
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl9123])).
% 36.41/5.78 thf(zip_derived_cl18982, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv2 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl18981, zip_derived_cl9134])).
% 36.41/5.78 thf(zip_derived_cl6652, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl6636])).
% 36.41/5.78 thf(zip_derived_cl18990, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv2 @ X0)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl18982, zip_derived_cl6652])).
% 36.41/5.78 thf(zip_derived_cl19022, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv2 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl18990])).
% 36.41/5.78 thf(zip_derived_cl18686, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18618, zip_derived_cl14182])).
% 36.41/5.78 thf(zip_derived_cl19169, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv3 @ X0) | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl19022, zip_derived_cl18686])).
% 36.41/5.78 thf(zip_derived_cl20137, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl20125, zip_derived_cl19169])).
% 36.41/5.78 thf(zip_derived_cl20158, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv2 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl20137])).
% 36.41/5.78 thf(zip_derived_cl54, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ X0))),
% 36.41/5.78 inference('s_sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 36.41/5.78 thf(zip_derived_cl20185, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl20158, zip_derived_cl54])).
% 36.41/5.78 thf(zip_derived_cl265, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv1 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl263])).
% 36.41/5.78 thf(zip_derived_cl20285, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl20185, zip_derived_cl265])).
% 36.41/5.78 thf(zip_derived_cl18659, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0) | (ssPv2 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18658, zip_derived_cl16547])).
% 36.41/5.78 thf(zip_derived_cl10206, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl9418, zip_derived_cl941])).
% 36.41/5.78 thf(zip_derived_cl18188, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18176, zip_derived_cl15958])).
% 36.41/5.78 thf(zip_derived_cl18207, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl10206, zip_derived_cl18188])).
% 36.41/5.78 thf(zip_derived_cl18216, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl18207])).
% 36.41/5.78 thf(zip_derived_cl16308, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16304, zip_derived_cl14840])).
% 36.41/5.78 thf(zip_derived_cl18346, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)) | (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18216, zip_derived_cl16308])).
% 36.41/5.78 thf(zip_derived_cl18669, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl18659, zip_derived_cl18346])).
% 36.41/5.78 thf(zip_derived_cl18684, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv4 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl18669])).
% 36.41/5.78 thf(zip_derived_cl20286, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv2 @ X0) | (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl20285, zip_derived_cl18684])).
% 36.41/5.78 thf(zip_derived_cl18324, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18213, zip_derived_cl16308])).
% 36.41/5.78 thf(zip_derived_cl20287, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl20286, zip_derived_cl18324])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(clause24, conjecture,
% 36.41/5.78 (~( ( ssPv3 @ W ) | ( ssPv1 @ W ) | ( ssPv3 @ Y ) | ( ssPv4 @ V ) |
% 36.41/5.78 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 36.41/5.78 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.78 thf(zf_stmt_37, negated_conjecture,
% 36.41/5.78 (( ssPv3 @ W ) | ( ssPv1 @ W ) | ( ssPv3 @ Y ) | ( ssPv4 @ V ) |
% 36.41/5.78 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 36.41/5.78 ( ~( ssRr @ U @ V ) )),
% 36.41/5.78 inference('cnf.neg', [status(esa)], [clause24])).
% 36.41/5.78 thf(zip_derived_cl23, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.78 ( (ssPv3 @ X0)
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ X1)
% 36.41/5.78 | (ssPv4 @ X2)
% 36.41/5.78 | ~ (ssRr @ X0 @ X3)
% 36.41/5.78 | ~ (ssRr @ X3 @ X1)
% 36.41/5.78 | ~ (ssRr @ X0 @ X4)
% 36.41/5.78 | ~ (ssRr @ X4 @ X2))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_37])).
% 36.41/5.78 thf(zip_derived_cl425, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.41/5.78 ( (ssPv3 @ X0)
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ X1)
% 36.41/5.78 | (ssPv4 @ X2)
% 36.41/5.78 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 36.41/5.78 | ~ (ssRr @ X0 @ X3)
% 36.41/5.78 | ~ (ssRr @ X3 @ X2))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 36.41/5.78 thf(zip_derived_cl3398, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssRr @ (skf1 @ X1) @ X0)
% 36.41/5.78 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | (ssPv1 @ X1)
% 36.41/5.78 | (ssPv3 @ X1))),
% 36.41/5.78 inference('eq_fact', [status(thm)], [zip_derived_cl425])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl3399, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssRr @ (skf1 @ X1) @ X0)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | (ssPv1 @ X1)
% 36.41/5.78 | (ssPv3 @ X1))),
% 36.41/5.78 inference('demod', [status(thm)], [zip_derived_cl3398, zip_derived_cl0])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl4037, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ X0)
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup+', [status(thm)], [zip_derived_cl3399, zip_derived_cl0])).
% 36.41/5.78 thf(zip_derived_cl20293, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup+', [status(thm)],
% 36.41/5.78 [zip_derived_cl20287, zip_derived_cl4037])).
% 36.41/5.78 thf(zip_derived_cl14801, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl14800, zip_derived_cl5874])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(clause39, conjecture,
% 36.41/5.78 (~( ( ssPv1 @ Z ) | ( ssPv3 @ Y ) | ( ssPv4 @ V ) | ( ~( ssPv4 @ W ) ) |
% 36.41/5.78 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 36.41/5.78 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 36.41/5.78 thf(zf_stmt_38, negated_conjecture,
% 36.41/5.78 (( ssPv1 @ Z ) | ( ssPv3 @ Y ) | ( ssPv4 @ V ) | ( ~( ssPv4 @ W ) ) |
% 36.41/5.78 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 36.41/5.78 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 36.41/5.78 inference('cnf.neg', [status(esa)], [clause39])).
% 36.41/5.78 thf(zip_derived_cl38, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ X1)
% 36.41/5.78 | (ssPv4 @ X2)
% 36.41/5.78 | ~ (ssPv4 @ X3)
% 36.41/5.78 | ~ (ssRr @ X3 @ X0)
% 36.41/5.78 | ~ (ssRr @ X3 @ X4)
% 36.41/5.78 | ~ (ssRr @ X4 @ X1)
% 36.41/5.78 | ~ (ssRr @ X3 @ X5)
% 36.41/5.78 | ~ (ssRr @ X5 @ X2))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_38])).
% 36.41/5.78 thf(zip_derived_cl1106, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.41/5.78 (~ (ssRr @ X3 @ X2)
% 36.41/5.78 | ~ (ssRr @ X1 @ X3)
% 36.41/5.78 | ~ (ssRr @ X0 @ X4)
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X1)
% 36.41/5.78 | (ssPv4 @ X2)
% 36.41/5.78 | (ssPv3 @ X4)
% 36.41/5.78 | (ssPv1 @ X0))),
% 36.41/5.78 inference('eq_fact', [status(thm)], [zip_derived_cl38])).
% 36.41/5.78 thf(zip_derived_cl13828, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 ( (ssPv1 @ X1)
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X2)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1)
% 36.41/5.78 | ~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1))),
% 36.41/5.78 inference('eq_fact', [status(thm)], [zip_derived_cl1106])).
% 36.41/5.78 thf(zip_derived_cl13830, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1)
% 36.41/5.78 | ~ (ssPv4 @ X2)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | (ssPv1 @ X1))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl13828])).
% 36.41/5.78 thf(zip_derived_cl13838, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssRr @ X1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X1)
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl13830])).
% 36.41/5.78 thf(zip_derived_cl20287, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl20286, zip_derived_cl18324])).
% 36.41/5.78 thf(zip_derived_cl30399, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ X1)
% 36.41/5.78 | ~ (ssRr @ X1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl13838, zip_derived_cl20287])).
% 36.41/5.78 thf(zip_derived_cl30400, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl30399])).
% 36.41/5.78 thf(zip_derived_cl1619, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1615])).
% 36.41/5.78 thf(zip_derived_cl18608, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18597, zip_derived_cl16283])).
% 36.41/5.78 thf(zip_derived_cl18625, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl1619, zip_derived_cl18608])).
% 36.41/5.78 thf(zip_derived_cl18630, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl18625])).
% 36.41/5.78 thf(zip_derived_cl30418, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl30400, zip_derived_cl18630])).
% 36.41/5.78 thf(zip_derived_cl30441, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv1 @ (skf1 @ X0)) | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl30418])).
% 36.41/5.78 thf(zip_derived_cl18630, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl18625])).
% 36.41/5.78 thf(zip_derived_cl16687, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16681, zip_derived_cl15856])).
% 36.41/5.78 thf(zip_derived_cl18641, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup+', [status(thm)],
% 36.41/5.78 [zip_derived_cl18630, zip_derived_cl16687])).
% 36.41/5.78 thf(zip_derived_cl16569, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16559])).
% 36.41/5.78 thf(zip_derived_cl18766, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv1 @ X0) | (ssPv3 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18641, zip_derived_cl16569])).
% 36.41/5.78 thf(zip_derived_cl30861, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0) | (ssPv3 @ X0) | ~ (ssPv1 @ X0) | (ssPv3 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl30441, zip_derived_cl18766])).
% 36.41/5.78 thf(zip_derived_cl30890, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl30861])).
% 36.41/5.78 thf(zip_derived_cl20125, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl20124, zip_derived_cl19668])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl16687, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl16681, zip_derived_cl15856])).
% 36.41/5.78 thf(zip_derived_cl58, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X0 @ X1)
% 36.41/5.78 | ~ (ssPv1 @ X2)
% 36.41/5.78 | ~ (ssRr @ X1 @ X2))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl22])).
% 36.41/5.78 thf(zip_derived_cl16688, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 36.41/5.78 | ~ (ssPv1 @ X2)
% 36.41/5.78 | ~ (ssRr @ X1 @ X2))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl16687, zip_derived_cl58])).
% 36.41/5.78 thf(zip_derived_cl16715, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssRr @ X1 @ X2)
% 36.41/5.78 | ~ (ssPv1 @ X2)
% 36.41/5.78 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl16688])).
% 36.41/5.78 thf(zip_derived_cl17054, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssRr @ (skf1 @ (skf1 @ X0)) @ X1)
% 36.41/5.78 | ~ (ssPv1 @ X1)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl16715])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl17060, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 36.41/5.78 inference('s_sup+', [status(thm)], [zip_derived_cl17054, zip_derived_cl0])).
% 36.41/5.78 thf(zip_derived_cl14801, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl14800, zip_derived_cl5874])).
% 36.41/5.78 thf(zip_derived_cl17071, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 36.41/5.78 inference('s_sup+', [status(thm)],
% 36.41/5.78 [zip_derived_cl17060, zip_derived_cl14801])).
% 36.41/5.78 thf(zip_derived_cl17972, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17971, zip_derived_cl16762])).
% 36.41/5.78 thf(zip_derived_cl20003, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17071, zip_derived_cl17972])).
% 36.41/5.78 thf(zip_derived_cl20154, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl20125, zip_derived_cl20003])).
% 36.41/5.78 thf(zip_derived_cl17972, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17971, zip_derived_cl16762])).
% 36.41/5.78 thf(zip_derived_cl20367, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl20154, zip_derived_cl17972])).
% 36.41/5.78 thf(zip_derived_cl17972, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl17971, zip_derived_cl16762])).
% 36.41/5.78 thf(zip_derived_cl20368, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl20367, zip_derived_cl17972])).
% 36.41/5.78 thf(zip_derived_cl20287, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl20286, zip_derived_cl18324])).
% 36.41/5.78 thf(zip_derived_cl20369, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl20368, zip_derived_cl20287])).
% 36.41/5.78 thf(zip_derived_cl30946, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl30890, zip_derived_cl20369])).
% 36.41/5.78 thf(zip_derived_cl30963, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl30946])).
% 36.41/5.78 thf(zip_derived_cl30996, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl14801, zip_derived_cl30963])).
% 36.41/5.78 thf(zip_derived_cl31003, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv3 @ X0) | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl30996])).
% 36.41/5.78 thf(zip_derived_cl31176, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl20293, zip_derived_cl31003])).
% 36.41/5.78 thf(zip_derived_cl31182, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv1 @ (skf1 @ X0)) | (ssPv3 @ X0) | (ssPv1 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl31176])).
% 36.41/5.78 thf(zip_derived_cl4394, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssRr @ (skf1 @ X1) @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X1)
% 36.41/5.78 | (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X1))),
% 36.41/5.78 inference('demod', [status(thm)], [zip_derived_cl4393, zip_derived_cl0])).
% 36.41/5.78 thf(zip_derived_cl30400, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl30399])).
% 36.41/5.78 thf(zip_derived_cl15494, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15209, zip_derived_cl12024])).
% 36.41/5.78 thf(zip_derived_cl18659, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0) | (ssPv2 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18658, zip_derived_cl16547])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl15176, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0))) | ~ (ssPv1 @ X0) | (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15168, zip_derived_cl11697])).
% 36.41/5.78 thf(zip_derived_cl14394, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssRr @ X1 @ X2)
% 36.41/5.78 | ~ (ssPv2 @ X2)
% 36.41/5.78 | ~ (ssRr @ X0 @ X1)
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl14391])).
% 36.41/5.78 thf(zip_derived_cl15187, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssRr @ X2 @ X1)
% 36.41/5.78 | ~ (ssPv2 @ X1)
% 36.41/5.78 | ~ (ssRr @ (skf1 @ X0) @ X2)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl15176, zip_derived_cl14394])).
% 36.41/5.78 thf(zip_derived_cl15554, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssRr @ (skf1 @ (skf1 @ X0)) @ X1)
% 36.41/5.78 | ~ (ssPv2 @ X1)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl15187])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl15556, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup+', [status(thm)], [zip_derived_cl15554, zip_derived_cl0])).
% 36.41/5.78 thf(zip_derived_cl18680, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl18659, zip_derived_cl15556])).
% 36.41/5.78 thf(zip_derived_cl15176, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0))) | ~ (ssPv1 @ X0) | (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl15168, zip_derived_cl11697])).
% 36.41/5.78 thf(zip_derived_cl23006, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18680, zip_derived_cl15176])).
% 36.41/5.78 thf(zip_derived_cl20287, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl20286, zip_derived_cl18324])).
% 36.41/5.78 thf(zip_derived_cl23007, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl23006, zip_derived_cl20287])).
% 36.41/5.78 thf(zip_derived_cl1414, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl1403])).
% 36.41/5.78 thf(zip_derived_cl132, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl129])).
% 36.41/5.78 thf(zip_derived_cl1171, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl1167])).
% 36.41/5.78 thf(zip_derived_cl1184, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl132, zip_derived_cl1171])).
% 36.41/5.78 thf(zip_derived_cl1186, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv2 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl1184])).
% 36.41/5.78 thf(zip_derived_cl136, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv2 @ X0)
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl135])).
% 36.41/5.78 thf(zip_derived_cl1213, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv2 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl1186, zip_derived_cl136])).
% 36.41/5.78 thf(zip_derived_cl1489, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl1414, zip_derived_cl1213])).
% 36.41/5.78 thf(zip_derived_cl1498, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl1489])).
% 36.41/5.78 thf(zip_derived_cl18686, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18618, zip_derived_cl14182])).
% 36.41/5.78 thf(zip_derived_cl19071, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv3 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl1498, zip_derived_cl18686])).
% 36.41/5.78 thf(zip_derived_cl18686, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl18618, zip_derived_cl14182])).
% 36.41/5.78 thf(zip_derived_cl19072, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl19071, zip_derived_cl18686])).
% 36.41/5.78 thf(zip_derived_cl14223, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl14205])).
% 36.41/5.78 thf(zip_derived_cl19073, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl19072, zip_derived_cl14223])).
% 36.41/5.78 thf(zip_derived_cl30963, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl30946])).
% 36.41/5.78 thf(zip_derived_cl30985, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0) | ~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv4 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl19073, zip_derived_cl30963])).
% 36.41/5.78 thf(zip_derived_cl31001, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl30985])).
% 36.41/5.78 thf(zip_derived_cl31034, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl23007, zip_derived_cl31001])).
% 36.41/5.78 thf(zip_derived_cl31045, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv3 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl31034])).
% 36.41/5.78 thf(zip_derived_cl31140, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv3 @ X0) | ~ (ssPv1 @ X0) | (ssPv4 @ X0) | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl15494, zip_derived_cl31045])).
% 36.41/5.78 thf(zip_derived_cl31155, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv1 @ X0) | (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl31140])).
% 36.41/5.78 thf(zip_derived_cl30890, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl30861])).
% 36.41/5.78 thf(zip_derived_cl31366, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv3 @ X0) | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl31155, zip_derived_cl30890])).
% 36.41/5.78 thf(zip_derived_cl20369, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl20368, zip_derived_cl20287])).
% 36.41/5.78 thf(zip_derived_cl31372, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl31366, zip_derived_cl20369])).
% 36.41/5.78 thf(zip_derived_cl31383, plain, (![X0 : $i]: ~ (ssPv1 @ (skf1 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl31372])).
% 36.41/5.78 thf(zip_derived_cl31397, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv4 @ (skf1 @ (skf1 @ X0))) | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('demod', [status(thm)],
% 36.41/5.78 [zip_derived_cl30400, zip_derived_cl31383])).
% 36.41/5.78 thf(zip_derived_cl31383, plain, (![X0 : $i]: ~ (ssPv1 @ (skf1 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl31372])).
% 36.41/5.78 thf(zip_derived_cl30400, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl30399])).
% 36.41/5.78 thf(zip_derived_cl16144, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl16138, zip_derived_cl1389])).
% 36.41/5.78 thf(zip_derived_cl1158, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup+', [status(thm)], [zip_derived_cl1157, zip_derived_cl0])).
% 36.41/5.78 thf(zip_derived_cl16171, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl16144, zip_derived_cl1158])).
% 36.41/5.78 thf(zip_derived_cl255, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl253])).
% 36.41/5.78 thf(zip_derived_cl16406, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl16171, zip_derived_cl255])).
% 36.41/5.78 thf(zip_derived_cl1644, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0)
% 36.41/5.78 | (ssPv3 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl1639])).
% 36.41/5.78 thf(zip_derived_cl16407, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv1 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 36.41/5.78 inference('clc', [status(thm)], [zip_derived_cl16406, zip_derived_cl1644])).
% 36.41/5.78 thf(zip_derived_cl30416, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 (~ (ssPv4 @ X0)
% 36.41/5.78 | (ssPv1 @ (skf1 @ X0))
% 36.41/5.78 | (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl30400, zip_derived_cl16407])).
% 36.41/5.78 thf(zip_derived_cl30440, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv1 @ (skf1 @ X0)) | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl30416])).
% 36.41/5.78 thf(zip_derived_cl31402, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup+', [status(thm)],
% 36.41/5.78 [zip_derived_cl31383, zip_derived_cl30440])).
% 36.41/5.78 thf(zip_derived_cl31383, plain, (![X0 : $i]: ~ (ssPv1 @ (skf1 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl31372])).
% 36.41/5.78 thf(zip_derived_cl31441, plain, (![X0 : $i]: ~ (ssPv4 @ (skf1 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl31402, zip_derived_cl31383])).
% 36.41/5.78 thf(zip_derived_cl31531, plain, (![X0 : $i]: ~ (ssPv4 @ X0)),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl31397, zip_derived_cl31441])).
% 36.41/5.78 thf(zip_derived_cl31531, plain, (![X0 : $i]: ~ (ssPv4 @ X0)),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl31397, zip_derived_cl31441])).
% 36.41/5.78 thf(zip_derived_cl31561, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]:
% 36.41/5.78 (~ (ssRr @ (skf1 @ X1) @ X0) | ~ (ssPv3 @ X1) | (ssPv1 @ X0))),
% 36.41/5.78 inference('demod', [status(thm)],
% 36.41/5.78 [zip_derived_cl4394, zip_derived_cl31531, zip_derived_cl31531])).
% 36.41/5.78 thf(zip_derived_cl31366, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv3 @ X0) | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl31155, zip_derived_cl30890])).
% 36.41/5.78 thf(zip_derived_cl13154, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ (skf1 @ X0))
% 36.41/5.78 | ~ (ssPv1 @ X0)
% 36.41/5.78 | ~ (ssPv3 @ X0)
% 36.41/5.78 | (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl13140])).
% 36.41/5.78 thf(zip_derived_cl31001, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl30985])).
% 36.41/5.78 thf(zip_derived_cl31025, plain,
% 36.41/5.78 (![X0 : $i]:
% 36.41/5.78 ( (ssPv4 @ X0) | ~ (ssPv3 @ X0) | ~ (ssPv1 @ X0) | ~ (ssPv3 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl13154, zip_derived_cl31001])).
% 36.41/5.78 thf(zip_derived_cl31042, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv1 @ X0) | ~ (ssPv3 @ X0) | (ssPv4 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl31025])).
% 36.41/5.78 thf(zip_derived_cl31368, plain,
% 36.41/5.78 (![X0 : $i]: (~ (ssPv1 @ X0) | ~ (ssPv1 @ X0) | (ssPv4 @ X0))),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl31366, zip_derived_cl31042])).
% 36.41/5.78 thf(zip_derived_cl31382, plain,
% 36.41/5.78 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv1 @ X0))),
% 36.41/5.78 inference('simplify', [status(thm)], [zip_derived_cl31368])).
% 36.41/5.78 thf(zip_derived_cl31531, plain, (![X0 : $i]: ~ (ssPv4 @ X0)),
% 36.41/5.78 inference('clc', [status(thm)],
% 36.41/5.78 [zip_derived_cl31397, zip_derived_cl31441])).
% 36.41/5.78 thf(zip_derived_cl31574, plain, (![X0 : $i]: ~ (ssPv1 @ X0)),
% 36.41/5.78 inference('demod', [status(thm)],
% 36.41/5.78 [zip_derived_cl31382, zip_derived_cl31531])).
% 36.41/5.78 thf(zip_derived_cl31613, plain,
% 36.41/5.78 (![X0 : $i, X1 : $i]: (~ (ssRr @ (skf1 @ X1) @ X0) | ~ (ssPv3 @ X1))),
% 36.41/5.78 inference('demod', [status(thm)],
% 36.41/5.78 [zip_derived_cl31561, zip_derived_cl31574])).
% 36.41/5.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 36.41/5.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.41/5.78 thf(zip_derived_cl31614, plain, (![X0 : $i]: ~ (ssPv3 @ X0)),
% 36.41/5.78 inference('s_sup+', [status(thm)], [zip_derived_cl31613, zip_derived_cl0])).
% 36.41/5.78 thf(zip_derived_cl31574, plain, (![X0 : $i]: ~ (ssPv1 @ X0)),
% 36.41/5.78 inference('demod', [status(thm)],
% 36.41/5.78 [zip_derived_cl31382, zip_derived_cl31531])).
% 36.41/5.78 thf(zip_derived_cl31701, plain, (![X0 : $i]: (ssPv1 @ (skf1 @ X0))),
% 36.41/5.78 inference('demod', [status(thm)],
% 36.41/5.78 [zip_derived_cl31182, zip_derived_cl31614, zip_derived_cl31574])).
% 36.41/5.78 thf(zip_derived_cl31574, plain, (![X0 : $i]: ~ (ssPv1 @ X0)),
% 36.41/5.78 inference('demod', [status(thm)],
% 36.41/5.78 [zip_derived_cl31382, zip_derived_cl31531])).
% 36.41/5.78 thf(zip_derived_cl31702, plain, ($false),
% 36.41/5.78 inference('s_sup-', [status(thm)],
% 36.41/5.78 [zip_derived_cl31701, zip_derived_cl31574])).
% 36.41/5.78
% 36.41/5.78 % SZS output end Refutation
% 36.41/5.78
% 36.41/5.78
% 36.41/5.78 % Terminating...
% 36.83/5.86 % Runner terminated.
% 36.83/5.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------