TSTP Solution File: SYN759-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN759-1 : 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.VIR5z8VSz3 true
% Computer : n002.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 04:05:26 EDT 2023
% Result : Unsatisfiable 49.18s 7.58s
% Output : Refutation 49.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN759-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VIR5z8VSz3 true
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Aug 26 17:23:48 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.18/0.59 % Total configuration time : 435
% 0.18/0.59 % Estimated wc time : 1092
% 0.18/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 49.18/7.58 % Solved by fo/fo1_av.sh.
% 49.18/7.58 % done 2236 iterations in 6.736s
% 49.18/7.58 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 49.18/7.58 % SZS output start Refutation
% 49.18/7.58 thf(skf1_type, type, skf1: $i > $i).
% 49.18/7.58 thf(ssPv1_type, type, ssPv1: $i > $o).
% 49.18/7.58 thf(ssPv4_type, type, ssPv4: $i > $o).
% 49.18/7.58 thf(ssRr_type, type, ssRr: $i > $i > $o).
% 49.18/7.58 thf(ssPv2_type, type, ssPv2: $i > $o).
% 49.18/7.58 thf(ssPv3_type, type, ssPv3: $i > $o).
% 49.18/7.58 thf(clause1, conjecture, (~( ssRr @ U @ ( skf1 @ U ) ))).
% 49.18/7.58 thf(zf_stmt_0, negated_conjecture, (ssRr @ U @ ( skf1 @ U )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause1])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause30, conjecture,
% 49.18/7.58 (~( ( ssPv4 @ W ) | ( ssPv1 @ Z ) | ( ssPv2 @ Y ) | ( ssPv3 @ V ) |
% 49.18/7.58 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.58 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_1, negated_conjecture,
% 49.18/7.58 (( ssPv4 @ W ) | ( ssPv1 @ Z ) | ( ssPv2 @ Y ) | ( ssPv3 @ V ) |
% 49.18/7.58 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause30])).
% 49.18/7.58 thf(zip_derived_cl29, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv1 @ X1)
% 49.18/7.58 | (ssPv2 @ X2)
% 49.18/7.58 | (ssPv3 @ X3)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X4)
% 49.18/7.58 | ~ (ssRr @ X4 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X5)
% 49.18/7.58 | ~ (ssRr @ X5 @ X3))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_1])).
% 49.18/7.58 thf(zip_derived_cl543, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 (~ (ssRr @ X3 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X3)
% 49.18/7.58 | ~ (ssRr @ X0 @ X4)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | (ssPv3 @ X2)
% 49.18/7.58 | (ssPv2 @ X4)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl29])).
% 49.18/7.58 thf(zip_derived_cl5730, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 ( (ssPv4 @ X2)
% 49.18/7.58 | (ssPv1 @ X1)
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl543])).
% 49.18/7.58 thf(zip_derived_cl5732, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 (~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv1 @ X1)
% 49.18/7.58 | (ssPv4 @ X2))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl5730])).
% 49.18/7.58 thf(zip_derived_cl5836, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 (~ (ssRr @ X1 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5732])).
% 49.18/7.58 thf(zip_derived_cl6052, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5836])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause23, conjecture,
% 49.18/7.58 (~( ( ssPv1 @ W ) | ( ssPv3 @ Y ) | ( ~( ssPv2 @ W ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_2, negated_conjecture,
% 49.18/7.58 (( ssPv1 @ W ) | ( ssPv3 @ Y ) | ( ~( ssPv2 @ W ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.58 ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause23])).
% 49.18/7.58 thf(zip_derived_cl22, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 ( (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssPv2 @ X0)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssPv2 @ X4)
% 49.18/7.58 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_2])).
% 49.18/7.58 thf(zip_derived_cl454, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 (~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssPv2 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssPv2 @ X1)
% 49.18/7.58 | (ssPv3 @ X3)
% 49.18/7.58 | (ssPv1 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl22])).
% 49.18/7.58 thf(zip_derived_cl760, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 ( (ssPv1 @ X2)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv2 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1)
% 49.18/7.58 | ~ (ssPv2 @ X0))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl454])).
% 49.18/7.58 thf(zip_derived_cl765, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 ( (ssPv1 @ X1)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv2 @ X1)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl760])).
% 49.18/7.58 thf(zip_derived_cl770, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv2 @ X0)
% 49.18/7.58 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl765])).
% 49.18/7.58 thf(zip_derived_cl6074, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv2 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)],
% 49.18/7.58 [zip_derived_cl6052, zip_derived_cl770])).
% 49.18/7.58 thf(zip_derived_cl6088, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv2 @ X0)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl6074])).
% 49.18/7.58 thf(zip_derived_cl6052, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5836])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause25, conjecture,
% 49.18/7.58 (~( ( ssPv4 @ W ) | ( ssPv3 @ Y ) | ( ~( ssPv1 @ W ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_3, negated_conjecture,
% 49.18/7.58 (( ssPv4 @ W ) | ( ssPv3 @ Y ) | ( ~( ssPv1 @ W ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.58 ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause25])).
% 49.18/7.58 thf(zip_derived_cl24, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssPv2 @ X4)
% 49.18/7.58 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 49.18/7.58 thf(zip_derived_cl496, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 (~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssPv2 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | (ssPv3 @ X3)
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl24])).
% 49.18/7.58 thf(zip_derived_cl943, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 ( (ssPv4 @ X2)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1)
% 49.18/7.58 | ~ (ssPv2 @ X0))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl496])).
% 49.18/7.58 thf(zip_derived_cl949, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 ( (ssPv4 @ X1)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl943])).
% 49.18/7.58 thf(zip_derived_cl954, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl949])).
% 49.18/7.58 thf(zip_derived_cl6076, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv1 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)],
% 49.18/7.58 [zip_derived_cl6052, zip_derived_cl954])).
% 49.18/7.58 thf(zip_derived_cl6089, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl6076])).
% 49.18/7.58 thf(zip_derived_cl6256, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv2 @ X0))),
% 49.18/7.58 inference('clc', [status(thm)], [zip_derived_cl6088, zip_derived_cl6089])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause37, conjecture,
% 49.18/7.58 (~( ( ssPv4 @ W ) | ( ssPv1 @ Z ) | ( ~( ssRr @ W @ Z ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssPv2 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_4, negated_conjecture,
% 49.18/7.58 (( ssPv4 @ W ) | ( ssPv1 @ Z ) | ( ~( ssRr @ W @ Z ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssPv2 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause37])).
% 49.18/7.58 thf(zip_derived_cl36, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv1 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssPv2 @ X3)
% 49.18/7.58 | ~ (ssRr @ X2 @ X3)
% 49.18/7.58 | ~ (ssRr @ X0 @ X4)
% 49.18/7.58 | ~ (ssPv3 @ X5)
% 49.18/7.58 | ~ (ssRr @ X4 @ X5))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 49.18/7.58 thf(zip_derived_cl754, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 (~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssPv3 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X4 @ X3)
% 49.18/7.58 | ~ (ssPv2 @ X3)
% 49.18/7.58 | ~ (ssRr @ X1 @ X4)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl36])).
% 49.18/7.58 thf(clause35, conjecture,
% 49.18/7.58 (~( ( ssPv4 @ W ) | ( ssPv1 @ Z ) | ( ssPv2 @ Y ) |
% 49.18/7.58 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.58 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) |
% 49.18/7.58 ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_5, negated_conjecture,
% 49.18/7.58 (( ssPv4 @ W ) | ( ssPv1 @ Z ) | ( ssPv2 @ Y ) | ( ~( ssRr @ W @ Z ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.58 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause35])).
% 49.18/7.58 thf(zip_derived_cl34, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv1 @ X1)
% 49.18/7.58 | (ssPv2 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssRr @ X3 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X4)
% 49.18/7.58 | ~ (ssPv3 @ X5)
% 49.18/7.58 | ~ (ssRr @ X4 @ X5))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 49.18/7.58 thf(zip_derived_cl694, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 (~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssPv3 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X4 @ X3)
% 49.18/7.58 | ~ (ssRr @ X1 @ X4)
% 49.18/7.58 | (ssPv2 @ X3)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl34])).
% 49.18/7.58 thf(zip_derived_cl29, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv1 @ X1)
% 49.18/7.58 | (ssPv2 @ X2)
% 49.18/7.58 | (ssPv3 @ X3)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X4)
% 49.18/7.58 | ~ (ssRr @ X4 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X5)
% 49.18/7.58 | ~ (ssRr @ X5 @ X3))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_1])).
% 49.18/7.58 thf(zip_derived_cl545, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 (~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X4 @ X3)
% 49.18/7.58 | ~ (ssRr @ X1 @ X4)
% 49.18/7.58 | (ssPv3 @ X2)
% 49.18/7.58 | (ssPv2 @ X3)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl29])).
% 49.18/7.58 thf(zip_derived_cl10190, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 ( (ssPv4 @ X1)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv2 @ X3)
% 49.18/7.58 | ~ (ssRr @ X1 @ X4)
% 49.18/7.58 | ~ (ssRr @ X4 @ X3)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2))),
% 49.18/7.58 inference('clc', [status(thm)], [zip_derived_cl694, zip_derived_cl545])).
% 49.18/7.58 thf(zip_derived_cl11043, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 ( (ssPv4 @ X1)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X1 @ X4)
% 49.18/7.58 | ~ (ssRr @ X4 @ X3)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2))),
% 49.18/7.58 inference('clc', [status(thm)], [zip_derived_cl754, zip_derived_cl10190])).
% 49.18/7.58 thf(zip_derived_cl11046, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 (~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssPv3 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl11043])).
% 49.18/7.58 thf(zip_derived_cl11052, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1)
% 49.18/7.58 | (ssPv1 @ X2))),
% 49.18/7.58 inference('condensation', [status(thm)], [zip_derived_cl11046])).
% 49.18/7.58 thf(zip_derived_cl11053, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl11052])).
% 49.18/7.58 thf(zip_derived_cl11057, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl11053])).
% 49.18/7.58 thf(zip_derived_cl11112, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv2 @ X0)
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.58 inference('s_sup-', [status(thm)],
% 49.18/7.58 [zip_derived_cl6256, zip_derived_cl11057])).
% 49.18/7.58 thf(zip_derived_cl11132, plain,
% 49.18/7.58 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv1 @ (skf1 @ X0)) | ~ (ssPv2 @ X0))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl11112])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause34, conjecture,
% 49.18/7.58 (~( ( ssPv4 @ W ) | ( ssPv1 @ Y ) | ( ssPv2 @ V ) | ( ~( ssPv2 @ Z ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.58 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_6, negated_conjecture,
% 49.18/7.58 (( ssPv4 @ W ) | ( ssPv1 @ Y ) | ( ssPv2 @ V ) | ( ~( ssPv2 @ Z ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause34])).
% 49.18/7.58 thf(zip_derived_cl33, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv1 @ X1)
% 49.18/7.58 | (ssPv2 @ X2)
% 49.18/7.58 | ~ (ssPv2 @ X3)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssRr @ X0 @ X4)
% 49.18/7.58 | ~ (ssRr @ X4 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X5)
% 49.18/7.58 | ~ (ssRr @ X5 @ X2))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 49.18/7.58 thf(zip_derived_cl651, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 (~ (ssRr @ X3 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X3)
% 49.18/7.58 | ~ (ssRr @ X0 @ X4)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv2 @ X0)
% 49.18/7.58 | (ssPv2 @ X2)
% 49.18/7.58 | (ssPv1 @ X4)
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl33])).
% 49.18/7.58 thf(zip_derived_cl9347, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 ( (ssPv4 @ X2)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | ~ (ssPv2 @ X1)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl651])).
% 49.18/7.58 thf(zip_derived_cl9349, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 (~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1)
% 49.18/7.58 | ~ (ssPv2 @ X1)
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv4 @ X2))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl9347])).
% 49.18/7.58 thf(zip_derived_cl9351, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 (~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv2 @ X0)
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl9349])).
% 49.18/7.58 thf(zip_derived_cl9589, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv4 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl9351])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause2, conjecture,
% 49.18/7.58 (~( ( ssPv3 @ W ) | ( ssPv2 @ W ) | ( ssPv2 @ X ) | ( ssPv1 @ V ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_7, negated_conjecture,
% 49.18/7.58 (( ssPv3 @ W ) | ( ssPv2 @ W ) | ( ssPv2 @ X ) | ( ssPv1 @ V ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause2])).
% 49.18/7.58 thf(zip_derived_cl1, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 ( (ssPv3 @ X0)
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv2 @ X1)
% 49.18/7.58 | (ssPv1 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssRr @ X3 @ X2))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_7])).
% 49.18/7.58 thf(zip_derived_cl57, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 (~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | (ssPv1 @ X2)
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv2 @ X1)
% 49.18/7.58 | (ssPv3 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl1])).
% 49.18/7.58 thf(zip_derived_cl95, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 (~ (ssRr @ X1 @ X0)
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv2 @ X1)
% 49.18/7.58 | (ssPv3 @ X1))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl57])).
% 49.18/7.58 thf(zip_derived_cl98, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv3 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl95])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause14, conjecture,
% 49.18/7.58 (~( ( ssPv4 @ W ) | ( ssPv3 @ Y ) | ( ssPv4 @ V ) |
% 49.18/7.58 ( ~( ssRr @ W @ Y ) ) | ( ~( ssPv2 @ X ) ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_8, negated_conjecture,
% 49.18/7.58 (( ssPv4 @ W ) | ( ssPv3 @ Y ) | ( ssPv4 @ V ) | ( ~( ssRr @ W @ Y ) ) |
% 49.18/7.58 ( ~( ssPv2 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.58 ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause14])).
% 49.18/7.58 thf(zip_derived_cl13, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ X1)
% 49.18/7.58 | (ssPv4 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssPv2 @ X3)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssRr @ X0 @ X4)
% 49.18/7.58 | ~ (ssRr @ X4 @ X2))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_8])).
% 49.18/7.58 thf(zip_derived_cl240, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 (~ (ssRr @ X3 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X3)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv2 @ X0)
% 49.18/7.58 | (ssPv4 @ X2)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl13])).
% 49.18/7.58 thf(zip_derived_cl2726, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 (~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X1 @ X2)
% 49.18/7.58 | ~ (ssPv2 @ X2)
% 49.18/7.58 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ X2)
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl240])).
% 49.18/7.58 thf(zip_derived_cl2808, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 ( (ssPv4 @ X1)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv2 @ X0)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl2726])).
% 49.18/7.58 thf(zip_derived_cl2809, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2808])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause11, conjecture,
% 49.18/7.58 (~( ( ssPv3 @ W ) | ( ssPv2 @ Y ) | ( ssPv3 @ V ) | ( ~( ssPv1 @ W ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_9, negated_conjecture,
% 49.18/7.58 (( ssPv3 @ W ) | ( ssPv2 @ Y ) | ( ssPv3 @ V ) | ( ~( ssPv1 @ W ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.58 ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause11])).
% 49.18/7.58 thf(zip_derived_cl10, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 ( (ssPv3 @ X0)
% 49.18/7.58 | (ssPv2 @ X1)
% 49.18/7.58 | (ssPv3 @ X2)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssRr @ X3 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X4)
% 49.18/7.58 | ~ (ssRr @ X4 @ X2))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_9])).
% 49.18/7.58 thf(zip_derived_cl174, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 (~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | (ssPv3 @ X2)
% 49.18/7.58 | (ssPv2 @ X3)
% 49.18/7.58 | (ssPv3 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl10])).
% 49.18/7.58 thf(zip_derived_cl413, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 ( (ssPv3 @ X2)
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl174])).
% 49.18/7.58 thf(zip_derived_cl417, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 ( (ssPv3 @ X1)
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl413])).
% 49.18/7.58 thf(zip_derived_cl421, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv3 @ X0)
% 49.18/7.58 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv1 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl417])).
% 49.18/7.58 thf(zip_derived_cl954, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl949])).
% 49.18/7.58 thf(zip_derived_cl965, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv1 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl421, zip_derived_cl954])).
% 49.18/7.58 thf(zip_derived_cl971, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv1 @ X0))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl965])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause19, conjecture,
% 49.18/7.58 (~( ( ssPv3 @ W ) | ( ssPv1 @ Y ) | ( ~( ssPv1 @ W ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_10, negated_conjecture,
% 49.18/7.58 (( ssPv3 @ W ) | ( ssPv1 @ Y ) | ( ~( ssPv1 @ W ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.58 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause19])).
% 49.18/7.58 thf(zip_derived_cl18, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 ( (ssPv3 @ X0)
% 49.18/7.58 | (ssPv1 @ X1)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssPv3 @ X4)
% 49.18/7.58 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_10])).
% 49.18/7.58 thf(zip_derived_cl365, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 (~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssPv3 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | (ssPv1 @ X3)
% 49.18/7.58 | (ssPv3 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl18])).
% 49.18/7.58 thf(zip_derived_cl482, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 ( (ssPv3 @ X2)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1)
% 49.18/7.58 | ~ (ssPv3 @ X0))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl365])).
% 49.18/7.58 thf(zip_derived_cl483, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 ( (ssPv3 @ X1)
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl482])).
% 49.18/7.58 thf(zip_derived_cl485, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv3 @ X0)
% 49.18/7.58 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl483])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause44, conjecture,
% 49.18/7.58 (~( ( ssPv3 @ Z ) | ( ~( ssPv1 @ W ) ) | ( ~( ssRr @ W @ Z ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssPv1 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_11, negated_conjecture,
% 49.18/7.58 (( ssPv3 @ Z ) | ( ~( ssPv1 @ W ) ) | ( ~( ssRr @ W @ Z ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssPv1 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause44])).
% 49.18/7.58 thf(zip_derived_cl43, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.58 ( (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X1 @ X2)
% 49.18/7.58 | ~ (ssPv1 @ X3)
% 49.18/7.58 | ~ (ssRr @ X2 @ X3)
% 49.18/7.58 | ~ (ssRr @ X1 @ X4)
% 49.18/7.58 | ~ (ssPv3 @ X5)
% 49.18/7.58 | ~ (ssRr @ X4 @ X5))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_11])).
% 49.18/7.58 thf(zip_derived_cl1135, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 (~ (ssRr @ X3 @ X2)
% 49.18/7.58 | ~ (ssPv3 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X3)
% 49.18/7.58 | ~ (ssRr @ X0 @ X4)
% 49.18/7.58 | ~ (ssPv1 @ X4)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | (ssPv3 @ X0))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl43])).
% 49.18/7.58 thf(zip_derived_cl1141, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 ( (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssPv1 @ X2)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1)
% 49.18/7.58 | ~ (ssPv3 @ X0))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl1135])).
% 49.18/7.58 thf(zip_derived_cl1143, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 (~ (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1)
% 49.18/7.58 | ~ (ssPv1 @ X2)
% 49.18/7.58 | (ssPv3 @ X1))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl1141])).
% 49.18/7.58 thf(zip_derived_cl1144, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | (ssPv3 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1143])).
% 49.18/7.58 thf(zip_derived_cl1150, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.58 inference('s_sup-', [status(thm)],
% 49.18/7.58 [zip_derived_cl485, zip_derived_cl1144])).
% 49.18/7.58 thf(zip_derived_cl1153, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl1150])).
% 49.18/7.58 thf(zip_derived_cl1176, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1153])).
% 49.18/7.58 thf(zip_derived_cl1177, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl1176])).
% 49.18/7.58 thf(zip_derived_cl1197, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.58 inference('s_sup-', [status(thm)],
% 49.18/7.58 [zip_derived_cl971, zip_derived_cl1177])).
% 49.18/7.58 thf(zip_derived_cl1207, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl1197])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause29, conjecture,
% 49.18/7.58 (~( ( ~( ssPv1 @ W ) ) | ( ~( ssPv3 @ Y ) ) | ( ~( ssRr @ W @ Y ) ) |
% 49.18/7.58 ( ~( ssPv4 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.58 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_12, negated_conjecture,
% 49.18/7.58 (( ~( ssPv1 @ W ) ) | ( ~( ssPv3 @ Y ) ) | ( ~( ssRr @ W @ Y ) ) |
% 49.18/7.58 ( ~( ssPv4 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.58 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause29])).
% 49.18/7.58 thf(zip_derived_cl28, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 (~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssPv4 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssPv3 @ X4)
% 49.18/7.58 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_12])).
% 49.18/7.58 thf(zip_derived_cl59, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 (~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv4 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssPv3 @ X3)
% 49.18/7.58 | ~ (ssRr @ X2 @ X3))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl28])).
% 49.18/7.58 thf(zip_derived_cl1220, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 (~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssPv3 @ X3)
% 49.18/7.58 | ~ (ssRr @ X2 @ X3))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl1207, zip_derived_cl59])).
% 49.18/7.58 thf(zip_derived_cl1235, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 (~ (ssRr @ X2 @ X3)
% 49.18/7.58 | ~ (ssPv3 @ X3)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssPv4 @ X1)
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl1220])).
% 49.18/7.58 thf(zip_derived_cl3500, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X1 @ X2)
% 49.18/7.58 | ~ (ssPv4 @ X2)
% 49.18/7.58 | (ssPv4 @ X1)
% 49.18/7.58 | (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssPv1 @ X1))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1235])).
% 49.18/7.58 thf(zip_derived_cl3602, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 (~ (ssPv1 @ X1)
% 49.18/7.58 | (ssPv3 @ X1)
% 49.18/7.58 | (ssPv4 @ X1)
% 49.18/7.58 | ~ (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl3500])).
% 49.18/7.58 thf(zip_derived_cl3603, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3602])).
% 49.18/7.58 thf(zip_derived_cl971, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv1 @ X0))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl965])).
% 49.18/7.58 thf(zip_derived_cl3604, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0))),
% 49.18/7.58 inference('clc', [status(thm)], [zip_derived_cl3603, zip_derived_cl971])).
% 49.18/7.58 thf(zip_derived_cl3615, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.58 inference('s_sup-', [status(thm)],
% 49.18/7.58 [zip_derived_cl2809, zip_derived_cl3604])).
% 49.18/7.58 thf(zip_derived_cl3618, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl3615])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause7, conjecture,
% 49.18/7.58 (~( ( ssPv2 @ W ) | ( ssPv3 @ V ) | ( ~( ssPv1 @ W ) ) |
% 49.18/7.58 ( ~( ssPv4 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.58 ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_13, negated_conjecture,
% 49.18/7.58 (( ssPv2 @ W ) | ( ssPv3 @ V ) | ( ~( ssPv1 @ W ) ) | ( ~( ssPv4 @ X ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause7])).
% 49.18/7.58 thf(zip_derived_cl6, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 ( (ssPv2 @ X0)
% 49.18/7.58 | (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssRr @ X3 @ X1))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_13])).
% 49.18/7.58 thf(zip_derived_cl135, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 (~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | (ssPv3 @ X2)
% 49.18/7.58 | (ssPv2 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl6])).
% 49.18/7.58 thf(zip_derived_cl137, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 (~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv2 @ X1))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl135])).
% 49.18/7.58 thf(zip_derived_cl141, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv2 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl137])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl28, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 (~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssPv4 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssPv3 @ X4)
% 49.18/7.58 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_12])).
% 49.18/7.58 thf(zip_derived_cl60, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 (~ (ssRr @ X3 @ X2)
% 49.18/7.58 | ~ (ssPv3 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X3)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl28])).
% 49.18/7.58 thf(zip_derived_cl74, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X1 @ X2)
% 49.18/7.58 | ~ (ssPv4 @ X2)
% 49.18/7.58 | ~ (ssPv3 @ X2)
% 49.18/7.58 | ~ (ssPv1 @ X1))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl60])).
% 49.18/7.58 thf(zip_derived_cl145, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 ( (ssPv2 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssRr @ X1 @ X2)
% 49.18/7.58 | ~ (ssPv4 @ X2)
% 49.18/7.58 | ~ (ssPv3 @ X2)
% 49.18/7.58 | ~ (ssPv1 @ X1))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl74])).
% 49.18/7.58 thf(zip_derived_cl1887, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 ( (ssPv2 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssPv4 @ X1)
% 49.18/7.58 | ~ (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssPv1 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl145])).
% 49.18/7.58 thf(zip_derived_cl1890, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 (~ (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssPv4 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv2 @ X0))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl1887])).
% 49.18/7.58 thf(zip_derived_cl1891, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv2 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1890])).
% 49.18/7.58 thf(zip_derived_cl1892, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv2 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl1891])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause12, conjecture,
% 49.18/7.58 (~( ( ssPv4 @ W ) | ( ssPv1 @ Y ) | ( ssPv4 @ V ) | ( ~( ssPv3 @ W ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_14, negated_conjecture,
% 49.18/7.58 (( ssPv4 @ W ) | ( ssPv1 @ Y ) | ( ssPv4 @ V ) | ( ~( ssPv3 @ W ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.58 ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause12])).
% 49.18/7.58 thf(zip_derived_cl11, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv1 @ X1)
% 49.18/7.58 | (ssPv4 @ X2)
% 49.18/7.58 | ~ (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssRr @ X3 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X4)
% 49.18/7.58 | ~ (ssRr @ X4 @ X2))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_14])).
% 49.18/7.58 thf(zip_derived_cl195, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 (~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssPv3 @ X1)
% 49.18/7.58 | (ssPv4 @ X2)
% 49.18/7.58 | (ssPv1 @ X3)
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl11])).
% 49.18/7.58 thf(zip_derived_cl549, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 ( (ssPv4 @ X2)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl195])).
% 49.18/7.58 thf(zip_derived_cl574, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 ( (ssPv4 @ X1)
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl549])).
% 49.18/7.58 thf(zip_derived_cl591, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv3 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl574])).
% 49.18/7.58 thf(zip_derived_cl1894, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv3 @ X0))),
% 49.18/7.58 inference('s_sup+', [status(thm)],
% 49.18/7.58 [zip_derived_cl1892, zip_derived_cl591])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause3, conjecture,
% 49.18/7.58 (~( ( ssPv4 @ W ) | ( ssPv3 @ W ) | ( ssPv1 @ V ) | ( ~( ssPv1 @ X ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_15, negated_conjecture,
% 49.18/7.58 (( ssPv4 @ W ) | ( ssPv3 @ W ) | ( ssPv1 @ V ) | ( ~( ssPv1 @ X ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause3])).
% 49.18/7.58 thf(zip_derived_cl2, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv1 @ X1)
% 49.18/7.58 | ~ (ssPv1 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssRr @ X3 @ X1))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_15])).
% 49.18/7.58 thf(zip_derived_cl72, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 (~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv1 @ X2)
% 49.18/7.58 | (ssPv3 @ X1)
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl2])).
% 49.18/7.58 thf(zip_derived_cl119, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 (~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ X1)
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl72])).
% 49.18/7.58 thf(zip_derived_cl121, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv4 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl119])).
% 49.18/7.58 thf(zip_derived_cl2184, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('clc', [status(thm)], [zip_derived_cl1894, zip_derived_cl121])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause13, conjecture,
% 49.18/7.58 (~( ( ssPv1 @ W ) | ( ssPv2 @ Y ) | ( ssPv3 @ X ) |
% 49.18/7.58 ( ~( ssRr @ W @ Y ) ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_16, negated_conjecture,
% 49.18/7.58 (( ssPv1 @ W ) | ( ssPv2 @ Y ) | ( ssPv3 @ X ) | ( ~( ssRr @ W @ Y ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 49.18/7.58 ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause13])).
% 49.18/7.58 thf(zip_derived_cl12, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 ( (ssPv1 @ X0)
% 49.18/7.58 | (ssPv2 @ X1)
% 49.18/7.58 | (ssPv3 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssPv1 @ X4)
% 49.18/7.58 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_16])).
% 49.18/7.58 thf(zip_derived_cl214, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 (~ (ssRr @ X3 @ X2)
% 49.18/7.58 | ~ (ssPv1 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X3)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv1 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl12])).
% 49.18/7.58 thf(zip_derived_cl637, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X1 @ X2)
% 49.18/7.58 | (ssPv3 @ X2)
% 49.18/7.58 | (ssPv2 @ X2)
% 49.18/7.58 | (ssPv1 @ X1))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl214])).
% 49.18/7.58 thf(zip_derived_cl643, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 ( (ssPv1 @ X1)
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl637])).
% 49.18/7.58 thf(zip_derived_cl649, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv1 @ X0)
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl643])).
% 49.18/7.58 thf(zip_derived_cl2193, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.58 inference('s_sup-', [status(thm)],
% 49.18/7.58 [zip_derived_cl2184, zip_derived_cl649])).
% 49.18/7.58 thf(zip_derived_cl2202, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl2193])).
% 49.18/7.58 thf(zip_derived_cl2184, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('clc', [status(thm)], [zip_derived_cl1894, zip_derived_cl121])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl1135, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 (~ (ssRr @ X3 @ X2)
% 49.18/7.58 | ~ (ssPv3 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X3)
% 49.18/7.58 | ~ (ssRr @ X0 @ X4)
% 49.18/7.58 | ~ (ssPv1 @ X4)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | (ssPv3 @ X0))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl43])).
% 49.18/7.58 thf(zip_derived_cl1139, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X3 @ X2)
% 49.18/7.58 | ~ (ssPv1 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X3)
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | (ssPv3 @ X3))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1135])).
% 49.18/7.58 thf(zip_derived_cl1374, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 ( (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl1139])).
% 49.18/7.58 thf(zip_derived_cl1404, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1374])).
% 49.18/7.58 thf(zip_derived_cl1419, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1404])).
% 49.18/7.58 thf(zip_derived_cl2195, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('s_sup-', [status(thm)],
% 49.18/7.58 [zip_derived_cl2184, zip_derived_cl1419])).
% 49.18/7.58 thf(zip_derived_cl2203, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl2195])).
% 49.18/7.58 thf(zip_derived_cl121, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv4 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl119])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause22, conjecture,
% 49.18/7.58 (~( ( ssPv2 @ Y ) | ( ssPv3 @ V ) | ( ~( ssPv4 @ W ) ) |
% 49.18/7.58 ( ~( ssPv1 @ W ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_17, negated_conjecture,
% 49.18/7.58 (( ssPv2 @ Y ) | ( ssPv3 @ V ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv1 @ W ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.58 ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause22])).
% 49.18/7.58 thf(zip_derived_cl21, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 ( (ssPv2 @ X0)
% 49.18/7.58 | (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssPv4 @ X2)
% 49.18/7.58 | ~ (ssPv1 @ X2)
% 49.18/7.58 | ~ (ssRr @ X2 @ X3)
% 49.18/7.58 | ~ (ssRr @ X3 @ X0)
% 49.18/7.58 | ~ (ssRr @ X2 @ X4)
% 49.18/7.58 | ~ (ssRr @ X4 @ X1))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_17])).
% 49.18/7.58 thf(zip_derived_cl433, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 (~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | ~ (ssPv4 @ X1)
% 49.18/7.58 | (ssPv3 @ X2)
% 49.18/7.58 | (ssPv2 @ X3))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl21])).
% 49.18/7.58 thf(zip_derived_cl704, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 ( (ssPv2 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ X2)
% 49.18/7.58 | ~ (ssPv1 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl433])).
% 49.18/7.58 thf(zip_derived_cl709, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv4 @ X1)
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl704])).
% 49.18/7.58 thf(zip_derived_cl714, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl709])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause9, conjecture,
% 49.18/7.58 (~( ( ssPv3 @ W ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv1 @ X ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) |
% 49.18/7.58 ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_18, negated_conjecture,
% 49.18/7.58 (( ssPv3 @ W ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv1 @ X ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) |
% 49.18/7.58 ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause9])).
% 49.18/7.58 thf(zip_derived_cl8, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 ( (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssPv2 @ X3)
% 49.18/7.58 | ~ (ssRr @ X2 @ X3))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_18])).
% 49.18/7.58 thf(zip_derived_cl52, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 (~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssPv2 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ X1)
% 49.18/7.58 | (ssPv3 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl8])).
% 49.18/7.58 thf(zip_derived_cl54, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ X1)
% 49.18/7.58 | (ssPv3 @ X1))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl52])).
% 49.18/7.58 thf(zip_derived_cl715, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 (~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv4 @ X1)
% 49.18/7.58 | (ssPv3 @ X1))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl714, zip_derived_cl54])).
% 49.18/7.58 thf(zip_derived_cl917, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl715])).
% 49.18/7.58 thf(zip_derived_cl918, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl917])).
% 49.18/7.58 thf(zip_derived_cl1177, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl1176])).
% 49.18/7.58 thf(zip_derived_cl1194, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.58 inference('s_sup-', [status(thm)],
% 49.18/7.58 [zip_derived_cl918, zip_derived_cl1177])).
% 49.18/7.58 thf(zip_derived_cl1204, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl1194])).
% 49.18/7.58 thf(zip_derived_cl1207, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ X0))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl1197])).
% 49.18/7.58 thf(zip_derived_cl1273, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv1 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.58 inference('clc', [status(thm)], [zip_derived_cl1204, zip_derived_cl1207])).
% 49.18/7.58 thf(zip_derived_cl1279, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('s_sup-', [status(thm)],
% 49.18/7.58 [zip_derived_cl121, zip_derived_cl1273])).
% 49.18/7.58 thf(zip_derived_cl1282, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv4 @ X0))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl1279])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause6, conjecture,
% 49.18/7.58 (~( ( ssPv4 @ W ) | ( ssPv3 @ X ) | ( ssPv3 @ V ) | ( ~( ssPv3 @ W ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_19, negated_conjecture,
% 49.18/7.58 (( ssPv4 @ W ) | ( ssPv3 @ X ) | ( ssPv3 @ V ) | ( ~( ssPv3 @ W ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause6])).
% 49.18/7.58 thf(zip_derived_cl5, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ X1)
% 49.18/7.58 | (ssPv3 @ X2)
% 49.18/7.58 | ~ (ssPv3 @ X0)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssRr @ X3 @ X2))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_19])).
% 49.18/7.58 thf(zip_derived_cl115, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 (~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ X1)
% 49.18/7.58 | (ssPv3 @ X2)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl5])).
% 49.18/7.58 thf(zip_derived_cl176, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 (~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ X1)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv4 @ X1))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl115])).
% 49.18/7.58 thf(zip_derived_cl179, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv3 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl176])).
% 49.18/7.58 thf(zip_derived_cl1345, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('clc', [status(thm)], [zip_derived_cl1282, zip_derived_cl179])).
% 49.18/7.58 thf(zip_derived_cl2251, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ X0))),
% 49.18/7.58 inference('clc', [status(thm)], [zip_derived_cl2203, zip_derived_cl1345])).
% 49.18/7.58 thf(zip_derived_cl2440, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.58 inference('clc', [status(thm)], [zip_derived_cl2202, zip_derived_cl2251])).
% 49.18/7.58 thf(zip_derived_cl1345, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('clc', [status(thm)], [zip_derived_cl1282, zip_derived_cl179])).
% 49.18/7.58 thf(zip_derived_cl2441, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.58 inference('clc', [status(thm)], [zip_derived_cl2440, zip_derived_cl1345])).
% 49.18/7.58 thf(zip_derived_cl3623, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv4 @ X0)
% 49.18/7.58 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.58 inference('clc', [status(thm)], [zip_derived_cl3618, zip_derived_cl2441])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause16, conjecture,
% 49.18/7.58 (~( ( ssPv2 @ W ) | ( ssPv1 @ W ) | ( ssPv3 @ Y ) |
% 49.18/7.58 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.58 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_20, negated_conjecture,
% 49.18/7.58 (( ssPv2 @ W ) | ( ssPv1 @ W ) | ( ssPv3 @ Y ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.58 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) |
% 49.18/7.58 ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause16])).
% 49.18/7.58 thf(zip_derived_cl15, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 ( (ssPv2 @ X0)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X2 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssPv4 @ X4)
% 49.18/7.58 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_20])).
% 49.18/7.58 thf(zip_derived_cl287, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 ( (ssPv2 @ X0)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssPv4 @ X3)
% 49.18/7.58 | ~ (ssRr @ X2 @ X3))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl15])).
% 49.18/7.58 thf(zip_derived_cl3161, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 (~ (ssRr @ (skf1 @ X1) @ X0)
% 49.18/7.58 | ~ (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv1 @ X1)
% 49.18/7.58 | (ssPv2 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl287])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl3162, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i]:
% 49.18/7.58 (~ (ssRr @ (skf1 @ X1) @ X0)
% 49.18/7.58 | ~ (ssPv4 @ X0)
% 49.18/7.58 | (ssPv3 @ X0)
% 49.18/7.58 | (ssPv1 @ X1)
% 49.18/7.58 | (ssPv2 @ X1))),
% 49.18/7.58 inference('demod', [status(thm)], [zip_derived_cl3161, zip_derived_cl0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl3163, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv2 @ X0)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('s_sup+', [status(thm)], [zip_derived_cl3162, zip_derived_cl0])).
% 49.18/7.58 thf(zip_derived_cl3641, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('s_sup-', [status(thm)],
% 49.18/7.58 [zip_derived_cl3623, zip_derived_cl3163])).
% 49.18/7.58 thf(zip_derived_cl3648, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv1 @ X0)
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl3641])).
% 49.18/7.58 thf(zip_derived_cl3658, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv3 @ X0)
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl3648])).
% 49.18/7.58 thf(zip_derived_cl3665, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv4 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv1 @ X0)
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv3 @ X0))),
% 49.18/7.58 inference('simplify', [status(thm)], [zip_derived_cl3658])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(zip_derived_cl98, plain,
% 49.18/7.58 (![X0 : $i]:
% 49.18/7.58 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.58 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.58 | (ssPv2 @ X0)
% 49.18/7.58 | (ssPv3 @ X0))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl95])).
% 49.18/7.58 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.58 thf(clause26, conjecture,
% 49.18/7.58 (~( ( ssPv2 @ W ) | ( ~( ssPv3 @ Y ) ) | ( ~( ssRr @ W @ Y ) ) |
% 49.18/7.58 ( ~( ssPv4 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.58 ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.58 thf(zf_stmt_21, negated_conjecture,
% 49.18/7.58 (( ssPv2 @ W ) | ( ~( ssPv3 @ Y ) ) | ( ~( ssRr @ W @ Y ) ) |
% 49.18/7.58 ( ~( ssPv4 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.58 ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.58 inference('cnf.neg', [status(esa)], [clause26])).
% 49.18/7.58 thf(zip_derived_cl25, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.58 ( (ssPv2 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ X1)
% 49.18/7.58 | ~ (ssRr @ X0 @ X1)
% 49.18/7.58 | ~ (ssPv4 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X2)
% 49.18/7.58 | ~ (ssRr @ X0 @ X3)
% 49.18/7.58 | ~ (ssPv1 @ X4)
% 49.18/7.58 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.58 inference('cnf', [status(esa)], [zf_stmt_21])).
% 49.18/7.58 thf(zip_derived_cl198, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.58 (~ (ssRr @ X3 @ X2)
% 49.18/7.58 | ~ (ssPv1 @ X2)
% 49.18/7.58 | ~ (ssRr @ X1 @ X3)
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssPv4 @ X0)
% 49.18/7.58 | ~ (ssPv3 @ X0)
% 49.18/7.58 | (ssPv2 @ X1))),
% 49.18/7.58 inference('eq_fact', [status(thm)], [zip_derived_cl25])).
% 49.18/7.58 thf(zip_derived_cl201, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.58 | ~ (ssRr @ X1 @ X0)
% 49.18/7.58 | ~ (ssRr @ X1 @ X2)
% 49.18/7.58 | ~ (ssPv4 @ X2)
% 49.18/7.58 | ~ (ssPv3 @ X2)
% 49.18/7.58 | (ssPv2 @ X1))),
% 49.18/7.58 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl198])).
% 49.18/7.58 thf(zip_derived_cl208, plain,
% 49.18/7.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.58 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | (ssPv2 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl201])).
% 49.18/7.59 thf(zip_derived_cl2510, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssPv4 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl208])).
% 49.18/7.59 thf(zip_derived_cl2512, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X1)
% 49.18/7.59 | ~ (ssPv4 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl2510])).
% 49.18/7.59 thf(zip_derived_cl2513, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2512])).
% 49.18/7.59 thf(zip_derived_cl98, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl95])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl141, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl137])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl1139, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X3 @ X2)
% 49.18/7.59 | ~ (ssPv1 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X3)
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | (ssPv3 @ X3))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1135])).
% 49.18/7.59 thf(zip_derived_cl1372, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ X2))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1139])).
% 49.18/7.59 thf(zip_derived_cl1382, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ X2))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl141, zip_derived_cl1372])).
% 49.18/7.59 thf(zip_derived_cl1396, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 ( (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl1382])).
% 49.18/7.59 thf(zip_derived_cl1454, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1396])).
% 49.18/7.59 thf(zip_derived_cl1471, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1454])).
% 49.18/7.59 thf(zip_derived_cl1476, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl1471])).
% 49.18/7.59 thf(zip_derived_cl1480, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl1476])).
% 49.18/7.59 thf(zip_derived_cl98, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl95])).
% 49.18/7.59 thf(zip_derived_cl649, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl643])).
% 49.18/7.59 thf(zip_derived_cl659, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl649])).
% 49.18/7.59 thf(zip_derived_cl663, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl659])).
% 49.18/7.59 thf(zip_derived_cl1571, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl1480, zip_derived_cl663])).
% 49.18/7.59 thf(zip_derived_cl2514, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl2513, zip_derived_cl1571])).
% 49.18/7.59 thf(zip_derived_cl5078, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl3665, zip_derived_cl2514])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(clause24, conjecture,
% 49.18/7.59 (~( ( ssPv3 @ W ) | ( ssPv1 @ W ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.59 ( ~( ssPv2 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.59 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.59 thf(zf_stmt_22, negated_conjecture,
% 49.18/7.59 (( ssPv3 @ W ) | ( ssPv1 @ W ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.59 ( ~( ssPv2 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.59 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.59 inference('cnf.neg', [status(esa)], [clause24])).
% 49.18/7.59 thf(zip_derived_cl23, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssPv2 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssPv3 @ X4)
% 49.18/7.59 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_22])).
% 49.18/7.59 thf(zip_derived_cl473, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.59 (~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssPv2 @ X3)
% 49.18/7.59 | (ssPv1 @ X1)
% 49.18/7.59 | (ssPv3 @ X1))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl23])).
% 49.18/7.59 thf(zip_derived_cl826, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv2 @ X2)
% 49.18/7.59 | (ssPv1 @ X1)
% 49.18/7.59 | (ssPv3 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl473])).
% 49.18/7.59 thf(zip_derived_cl837, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 49.18/7.59 | ~ (ssPv2 @ X1)
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl826])).
% 49.18/7.59 thf(zip_derived_cl842, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl837])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(clause5, conjecture,
% 49.18/7.59 (~( ( ssPv4 @ W ) | ( ssPv2 @ W ) | ( ssPv2 @ V ) | ( ~( ssPv3 @ X ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.59 thf(zf_stmt_23, negated_conjecture,
% 49.18/7.59 (( ssPv4 @ W ) | ( ssPv2 @ W ) | ( ssPv2 @ V ) | ( ~( ssPv3 @ X ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.59 inference('cnf.neg', [status(esa)], [clause5])).
% 49.18/7.59 thf(zip_derived_cl4, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssRr @ X3 @ X1))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_23])).
% 49.18/7.59 thf(zip_derived_cl101, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X2)
% 49.18/7.59 | (ssPv2 @ X1)
% 49.18/7.59 | (ssPv4 @ X1))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl4])).
% 49.18/7.59 thf(zip_derived_cl149, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X1)
% 49.18/7.59 | (ssPv4 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl101])).
% 49.18/7.59 thf(zip_derived_cl155, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl149])).
% 49.18/7.59 thf(zip_derived_cl845, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup+', [status(thm)], [zip_derived_cl842, zip_derived_cl155])).
% 49.18/7.59 thf(zip_derived_cl5095, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl5078, zip_derived_cl845])).
% 49.18/7.59 thf(zip_derived_cl5116, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl5095])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(clause8, conjecture,
% 49.18/7.59 (~( ( ssPv1 @ W ) | ( ssPv4 @ V ) | ( ~( ssPv4 @ W ) ) |
% 49.18/7.59 ( ~( ssPv3 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.59 ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.59 thf(zf_stmt_24, negated_conjecture,
% 49.18/7.59 (( ssPv1 @ W ) | ( ssPv4 @ V ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv3 @ X ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.59 inference('cnf.neg', [status(esa)], [clause8])).
% 49.18/7.59 thf(zip_derived_cl7, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | (ssPv4 @ X1)
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssRr @ X3 @ X1))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_24])).
% 49.18/7.59 thf(zip_derived_cl153, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ X1)
% 49.18/7.59 | (ssPv4 @ X2)
% 49.18/7.59 | (ssPv1 @ X1))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl7])).
% 49.18/7.59 thf(zip_derived_cl156, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ X1)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl153])).
% 49.18/7.59 thf(zip_derived_cl158, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl156])).
% 49.18/7.59 thf(zip_derived_cl3163, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup+', [status(thm)], [zip_derived_cl3162, zip_derived_cl0])).
% 49.18/7.59 thf(zip_derived_cl3172, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl158, zip_derived_cl3163])).
% 49.18/7.59 thf(zip_derived_cl3178, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl3172])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(clause20, conjecture,
% 49.18/7.59 (~( ( ssPv1 @ W ) | ( ssPv1 @ Y ) | ( ~( ssRr @ W @ Y ) ) |
% 49.18/7.59 ( ~( ssPv3 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.59 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.59 thf(zf_stmt_25, negated_conjecture,
% 49.18/7.59 (( ssPv1 @ W ) | ( ssPv1 @ Y ) | ( ~( ssRr @ W @ Y ) ) |
% 49.18/7.59 ( ~( ssPv3 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.59 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.59 inference('cnf.neg', [status(esa)], [clause20])).
% 49.18/7.59 thf(zip_derived_cl19, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | (ssPv1 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssPv3 @ X4)
% 49.18/7.59 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_25])).
% 49.18/7.59 thf(zip_derived_cl389, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ X3)
% 49.18/7.59 | ~ (ssRr @ X2 @ X3))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl19])).
% 49.18/7.59 thf(zip_derived_cl3911, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X2))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl389])).
% 49.18/7.59 thf(zip_derived_cl3995, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | ~ (ssRr @ (skf1 @ X0) @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3911])).
% 49.18/7.59 thf(zip_derived_cl4000, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3995])).
% 49.18/7.59 thf(zip_derived_cl4043, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl3178, zip_derived_cl4000])).
% 49.18/7.59 thf(zip_derived_cl4056, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl4043])).
% 49.18/7.59 thf(zip_derived_cl3178, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl3172])).
% 49.18/7.59 thf(zip_derived_cl1892, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl1891])).
% 49.18/7.59 thf(zip_derived_cl158, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl156])).
% 49.18/7.59 thf(zip_derived_cl1893, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup+', [status(thm)],
% 49.18/7.59 [zip_derived_cl1892, zip_derived_cl158])).
% 49.18/7.59 thf(zip_derived_cl3211, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl3178, zip_derived_cl1893])).
% 49.18/7.59 thf(zip_derived_cl3220, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl3211])).
% 49.18/7.59 thf(zip_derived_cl4083, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl4056, zip_derived_cl3220])).
% 49.18/7.59 thf(zip_derived_cl4096, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl4083])).
% 49.18/7.59 thf(zip_derived_cl5176, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl5116, zip_derived_cl4096])).
% 49.18/7.59 thf(zip_derived_cl663, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl659])).
% 49.18/7.59 thf(zip_derived_cl5177, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl5176, zip_derived_cl663])).
% 49.18/7.59 thf(zip_derived_cl98, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl95])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(clause36, conjecture,
% 49.18/7.59 (~( ( ssPv2 @ W ) | ( ssPv4 @ Z ) | ( ~( ssRr @ W @ Z ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ X ) ) | ( ~( ssPv1 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.59 thf(zf_stmt_26, negated_conjecture,
% 49.18/7.59 (( ssPv2 @ W ) | ( ssPv4 @ Z ) | ( ~( ssRr @ W @ Z ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ X ) ) | ( ~( ssPv1 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.59 inference('cnf.neg', [status(esa)], [clause36])).
% 49.18/7.59 thf(zip_derived_cl35, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv1 @ X3)
% 49.18/7.59 | ~ (ssRr @ X2 @ X3)
% 49.18/7.59 | ~ (ssRr @ X0 @ X4)
% 49.18/7.59 | ~ (ssPv2 @ X5)
% 49.18/7.59 | ~ (ssRr @ X4 @ X5))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_26])).
% 49.18/7.59 thf(zip_derived_cl719, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 (~ (ssRr @ X3 @ X2)
% 49.18/7.59 | ~ (ssPv2 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X3)
% 49.18/7.59 | ~ (ssRr @ X0 @ X4)
% 49.18/7.59 | ~ (ssPv1 @ X4)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X1))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl35])).
% 49.18/7.59 thf(zip_derived_cl5052, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X3 @ X2)
% 49.18/7.59 | ~ (ssPv1 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X3)
% 49.18/7.59 | (ssPv4 @ X3)
% 49.18/7.59 | (ssPv2 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl719])).
% 49.18/7.59 thf(zip_derived_cl5200, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 ( (ssPv2 @ X1)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl5052])).
% 49.18/7.59 thf(zip_derived_cl5205, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5200])).
% 49.18/7.59 thf(zip_derived_cl5212, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5205])).
% 49.18/7.59 thf(zip_derived_cl5228, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl5212])).
% 49.18/7.59 thf(zip_derived_cl5239, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl5228])).
% 49.18/7.59 thf(zip_derived_cl2514, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl2513, zip_derived_cl1571])).
% 49.18/7.59 thf(zip_derived_cl5648, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl5239, zip_derived_cl2514])).
% 49.18/7.59 thf(zip_derived_cl5669, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl5177, zip_derived_cl5648])).
% 49.18/7.59 thf(zip_derived_cl5685, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl5669])).
% 49.18/7.59 thf(zip_derived_cl1207, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl1197])).
% 49.18/7.59 thf(zip_derived_cl1419, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1404])).
% 49.18/7.59 thf(zip_derived_cl98, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl95])).
% 49.18/7.59 thf(zip_derived_cl1420, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('s_sup+', [status(thm)], [zip_derived_cl1419, zip_derived_cl98])).
% 49.18/7.59 thf(zip_derived_cl663, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl659])).
% 49.18/7.59 thf(zip_derived_cl1607, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl1420, zip_derived_cl663])).
% 49.18/7.59 thf(zip_derived_cl1622, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl1207, zip_derived_cl1607])).
% 49.18/7.59 thf(zip_derived_cl1636, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl1622])).
% 49.18/7.59 thf(zip_derived_cl1571, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl1480, zip_derived_cl663])).
% 49.18/7.59 thf(zip_derived_cl1918, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl1636, zip_derived_cl1571])).
% 49.18/7.59 thf(zip_derived_cl5842, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl5685, zip_derived_cl1918])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(clause17, conjecture,
% 49.18/7.59 (~( ( ssPv3 @ Y ) | ( ssPv3 @ V ) | ( ~( ssPv4 @ W ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ Y ) ) | ( ~( ssPv2 @ X ) ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.59 thf(zf_stmt_27, negated_conjecture,
% 49.18/7.59 (( ssPv3 @ Y ) | ( ssPv3 @ V ) | ( ~( ssPv4 @ W ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ Y ) ) | ( ~( ssPv2 @ X ) ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.59 inference('cnf.neg', [status(esa)], [clause17])).
% 49.18/7.59 thf(zip_derived_cl16, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ X1)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssRr @ X2 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ X3)
% 49.18/7.59 | ~ (ssRr @ X2 @ X3)
% 49.18/7.59 | ~ (ssRr @ X2 @ X4)
% 49.18/7.59 | ~ (ssRr @ X4 @ X1))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_27])).
% 49.18/7.59 thf(zip_derived_cl317, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.59 (~ (ssRr @ X3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X3)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ X1)
% 49.18/7.59 | (ssPv3 @ X2)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl16])).
% 49.18/7.59 thf(zip_derived_cl370, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssPv2 @ X2)
% 49.18/7.59 | ~ (ssPv4 @ X1)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X2))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl317])).
% 49.18/7.59 thf(zip_derived_cl376, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X1)
% 49.18/7.59 | ~ (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl370])).
% 49.18/7.59 thf(zip_derived_cl377, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl376])).
% 49.18/7.59 thf(zip_derived_cl1177, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl1176])).
% 49.18/7.59 thf(zip_derived_cl1191, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl377, zip_derived_cl1177])).
% 49.18/7.59 thf(zip_derived_cl1202, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl1191])).
% 49.18/7.59 thf(zip_derived_cl1207, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl1197])).
% 49.18/7.59 thf(zip_derived_cl1252, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl1202, zip_derived_cl1207])).
% 49.18/7.59 thf(zip_derived_cl5849, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl5842, zip_derived_cl1252])).
% 49.18/7.59 thf(zip_derived_cl5861, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl5849])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(clause15, conjecture,
% 49.18/7.59 (~( ( ssPv4 @ W ) | ( ssPv2 @ Y ) | ( ssPv2 @ V ) |
% 49.18/7.59 ( ~( ssRr @ W @ Y ) ) | ( ~( ssPv3 @ X ) ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.59 thf(zf_stmt_28, negated_conjecture,
% 49.18/7.59 (( ssPv4 @ W ) | ( ssPv2 @ Y ) | ( ssPv2 @ V ) | ( ~( ssRr @ W @ Y ) ) |
% 49.18/7.59 ( ~( ssPv3 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.59 ( ~( ssRr @ U @ V ) )),
% 49.18/7.59 inference('cnf.neg', [status(esa)], [clause15])).
% 49.18/7.59 thf(zip_derived_cl14, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X1)
% 49.18/7.59 | (ssPv2 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X3)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssRr @ X0 @ X4)
% 49.18/7.59 | ~ (ssRr @ X4 @ X2))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_28])).
% 49.18/7.59 thf(zip_derived_cl274, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.59 (~ (ssRr @ X3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X3)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X2)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X1))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl14])).
% 49.18/7.59 thf(zip_derived_cl2977, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X2)
% 49.18/7.59 | (ssPv4 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl274])).
% 49.18/7.59 thf(zip_derived_cl3064, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 ( (ssPv4 @ X1)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl2977])).
% 49.18/7.59 thf(zip_derived_cl3065, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3064])).
% 49.18/7.59 thf(zip_derived_cl770, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl765])).
% 49.18/7.59 thf(zip_derived_cl3077, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl3065, zip_derived_cl770])).
% 49.18/7.59 thf(zip_derived_cl3065, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3064])).
% 49.18/7.59 thf(zip_derived_cl954, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl949])).
% 49.18/7.59 thf(zip_derived_cl3079, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl3065, zip_derived_cl954])).
% 49.18/7.59 thf(zip_derived_cl3085, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl3079])).
% 49.18/7.59 thf(zip_derived_cl954, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl949])).
% 49.18/7.59 thf(zip_derived_cl663, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl659])).
% 49.18/7.59 thf(zip_derived_cl955, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup+', [status(thm)], [zip_derived_cl954, zip_derived_cl663])).
% 49.18/7.59 thf(zip_derived_cl973, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl955])).
% 49.18/7.59 thf(zip_derived_cl1345, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl1282, zip_derived_cl179])).
% 49.18/7.59 thf(zip_derived_cl2337, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl973, zip_derived_cl1345])).
% 49.18/7.59 thf(zip_derived_cl3087, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl3085, zip_derived_cl2337])).
% 49.18/7.59 thf(zip_derived_cl3340, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl3077, zip_derived_cl3087])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(clause45, conjecture,
% 49.18/7.59 (~( ( ssPv2 @ Y ) | ( ~( ssPv2 @ W ) ) | ( ~( ssPv3 @ Z ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.59 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) |
% 49.18/7.59 ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.59 thf(zf_stmt_29, negated_conjecture,
% 49.18/7.59 (( ssPv2 @ Y ) | ( ~( ssPv2 @ W ) ) | ( ~( ssPv3 @ Z ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.59 inference('cnf.neg', [status(esa)], [clause45])).
% 49.18/7.59 thf(zip_derived_cl44, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X3)
% 49.18/7.59 | ~ (ssRr @ X3 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X4)
% 49.18/7.59 | ~ (ssPv3 @ X5)
% 49.18/7.59 | ~ (ssRr @ X4 @ X5))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_29])).
% 49.18/7.59 thf(zip_derived_cl1241, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 (~ (ssRr @ X3 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X3)
% 49.18/7.59 | ~ (ssRr @ X0 @ X4)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ X1)
% 49.18/7.59 | (ssPv2 @ X4))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl44])).
% 49.18/7.59 thf(zip_derived_cl1672, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X0))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl1241])).
% 49.18/7.59 thf(zip_derived_cl1674, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | ~ (ssPv2 @ X2)
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl1672])).
% 49.18/7.59 thf(zip_derived_cl1676, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ X1)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1674])).
% 49.18/7.59 thf(zip_derived_cl1679, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1676])).
% 49.18/7.59 thf(zip_derived_cl11132, plain,
% 49.18/7.59 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv1 @ (skf1 @ X0)) | ~ (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11112])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(clause18, conjecture,
% 49.18/7.59 (~( ( ssPv4 @ Y ) | ( ssPv2 @ V ) | ( ~( ssPv3 @ W ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ Y ) ) | ( ~( ssPv2 @ X ) ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.59 thf(zf_stmt_30, negated_conjecture,
% 49.18/7.59 (( ssPv4 @ Y ) | ( ssPv2 @ V ) | ( ~( ssPv3 @ W ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ Y ) ) | ( ~( ssPv2 @ X ) ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.59 inference('cnf.neg', [status(esa)], [clause18])).
% 49.18/7.59 thf(zip_derived_cl17, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X2 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ X3)
% 49.18/7.59 | ~ (ssRr @ X2 @ X3)
% 49.18/7.59 | ~ (ssRr @ X2 @ X4)
% 49.18/7.59 | ~ (ssRr @ X4 @ X1))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_30])).
% 49.18/7.59 thf(zip_derived_cl339, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.59 (~ (ssRr @ X3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X3)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | (ssPv2 @ X2)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl17])).
% 49.18/7.59 thf(zip_derived_cl436, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssPv2 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X2))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl339])).
% 49.18/7.59 thf(zip_derived_cl444, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | ~ (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl436])).
% 49.18/7.59 thf(zip_derived_cl445, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl444])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl35, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv1 @ X3)
% 49.18/7.59 | ~ (ssRr @ X2 @ X3)
% 49.18/7.59 | ~ (ssRr @ X0 @ X4)
% 49.18/7.59 | ~ (ssPv2 @ X5)
% 49.18/7.59 | ~ (ssRr @ X4 @ X5))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_26])).
% 49.18/7.59 thf(zip_derived_cl721, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 (~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv2 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X4 @ X3)
% 49.18/7.59 | ~ (ssPv1 @ X3)
% 49.18/7.59 | ~ (ssRr @ X1 @ X4)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X1))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl35])).
% 49.18/7.59 thf(zip_derived_cl6640, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X3 @ X2)
% 49.18/7.59 | ~ (ssPv1 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X3)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl721])).
% 49.18/7.59 thf(zip_derived_cl6650, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6640])).
% 49.18/7.59 thf(zip_derived_cl6738, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl445, zip_derived_cl6650])).
% 49.18/7.59 thf(zip_derived_cl6754, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl6738])).
% 49.18/7.59 thf(zip_derived_cl7685, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6754])).
% 49.18/7.59 thf(zip_derived_cl7746, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7685])).
% 49.18/7.59 thf(zip_derived_cl11231, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl11132, zip_derived_cl7746])).
% 49.18/7.59 thf(zip_derived_cl11243, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11231])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl591, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl574])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(clause28, conjecture,
% 49.18/7.59 (~( ( ssPv2 @ W ) | ( ~( ssPv3 @ Y ) ) | ( ~( ssRr @ W @ Y ) ) |
% 49.18/7.59 ( ~( ssPv4 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.59 ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.59 thf(zf_stmt_31, negated_conjecture,
% 49.18/7.59 (( ssPv2 @ W ) | ( ~( ssPv3 @ Y ) ) | ( ~( ssRr @ W @ Y ) ) |
% 49.18/7.59 ( ~( ssPv4 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.59 ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.59 inference('cnf.neg', [status(esa)], [clause28])).
% 49.18/7.59 thf(zip_derived_cl27, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssPv4 @ X4)
% 49.18/7.59 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_31])).
% 49.18/7.59 thf(zip_derived_cl517, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.59 (~ (ssRr @ X3 @ X2)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X3)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X1))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl27])).
% 49.18/7.59 thf(zip_derived_cl524, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | (ssPv2 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl517])).
% 49.18/7.59 thf(zip_derived_cl597, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | (ssPv2 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl591, zip_derived_cl524])).
% 49.18/7.59 thf(zip_derived_cl201, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | (ssPv2 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl198])).
% 49.18/7.59 thf(zip_derived_cl7066, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 ( (ssPv2 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl597, zip_derived_cl201])).
% 49.18/7.59 thf(zip_derived_cl7067, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | ~ (ssPv4 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7066])).
% 49.18/7.59 thf(zip_derived_cl7071, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7067])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl158, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl156])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl27, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssPv4 @ X4)
% 49.18/7.59 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_31])).
% 49.18/7.59 thf(zip_derived_cl518, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.59 (~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X3)
% 49.18/7.59 | ~ (ssPv4 @ X3)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X1))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl27])).
% 49.18/7.59 thf(zip_derived_cl554, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl518])).
% 49.18/7.59 thf(zip_derived_cl559, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl554])).
% 49.18/7.59 thf(zip_derived_cl561, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 ( (ssPv2 @ X1)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl559])).
% 49.18/7.59 thf(zip_derived_cl3383, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl561])).
% 49.18/7.59 thf(zip_derived_cl3385, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3383])).
% 49.18/7.59 thf(zip_derived_cl1892, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl1891])).
% 49.18/7.59 thf(zip_derived_cl3386, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl3385, zip_derived_cl1892])).
% 49.18/7.59 thf(zip_derived_cl7072, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl7071, zip_derived_cl3386])).
% 49.18/7.59 thf(zip_derived_cl11569, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl11243, zip_derived_cl7072])).
% 49.18/7.59 thf(zip_derived_cl11584, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11569])).
% 49.18/7.59 thf(zip_derived_cl11621, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl1679, zip_derived_cl11584])).
% 49.18/7.59 thf(zip_derived_cl11634, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11621])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(clause32, conjecture,
% 49.18/7.59 (~( ( ssPv2 @ W ) | ( ssPv2 @ Z ) | ( ssPv4 @ Y ) |
% 49.18/7.59 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.59 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) |
% 49.18/7.59 ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.59 thf(zf_stmt_32, negated_conjecture,
% 49.18/7.59 (( ssPv2 @ W ) | ( ssPv2 @ Z ) | ( ssPv4 @ Y ) | ( ~( ssRr @ W @ Z ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.59 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.59 inference('cnf.neg', [status(esa)], [clause32])).
% 49.18/7.59 thf(zip_derived_cl31, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ X1)
% 49.18/7.59 | (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssRr @ X3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X4)
% 49.18/7.59 | ~ (ssPv3 @ X5)
% 49.18/7.59 | ~ (ssRr @ X4 @ X5))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_32])).
% 49.18/7.59 thf(zip_derived_cl603, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 (~ (ssRr @ X3 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X3)
% 49.18/7.59 | ~ (ssRr @ X0 @ X4)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | (ssPv4 @ X4)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ X1))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl31])).
% 49.18/7.59 thf(zip_derived_cl7848, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 ( (ssPv2 @ X2)
% 49.18/7.59 | (ssPv2 @ X1)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X0))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl603])).
% 49.18/7.59 thf(zip_derived_cl7850, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X1)
% 49.18/7.59 | (ssPv2 @ X2))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl7848])).
% 49.18/7.59 thf(zip_derived_cl7853, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7850])).
% 49.18/7.59 thf(zip_derived_cl7943, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7853])).
% 49.18/7.59 thf(zip_derived_cl7072, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl7071, zip_derived_cl3386])).
% 49.18/7.59 thf(zip_derived_cl7991, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl7943, zip_derived_cl7072])).
% 49.18/7.59 thf(zip_derived_cl8008, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl7991])).
% 49.18/7.59 thf(zip_derived_cl11761, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl11634, zip_derived_cl8008])).
% 49.18/7.59 thf(zip_derived_cl11798, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl3340, zip_derived_cl11761])).
% 49.18/7.59 thf(zip_derived_cl11812, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11798])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(clause31, conjecture,
% 49.18/7.59 (~( ( ssPv1 @ Z ) | ( ssPv1 @ Y ) | ( ssPv3 @ V ) | ( ~( ssPv3 @ W ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.59 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.59 thf(zf_stmt_33, negated_conjecture,
% 49.18/7.59 (( ssPv1 @ Z ) | ( ssPv1 @ Y ) | ( ssPv3 @ V ) | ( ~( ssPv3 @ W ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.59 inference('cnf.neg', [status(esa)], [clause31])).
% 49.18/7.59 thf(zip_derived_cl30, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | (ssPv1 @ X1)
% 49.18/7.59 | (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ X3)
% 49.18/7.59 | ~ (ssRr @ X3 @ X0)
% 49.18/7.59 | ~ (ssRr @ X3 @ X4)
% 49.18/7.59 | ~ (ssRr @ X4 @ X1)
% 49.18/7.59 | ~ (ssRr @ X3 @ X5)
% 49.18/7.59 | ~ (ssRr @ X5 @ X2))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_33])).
% 49.18/7.59 thf(zip_derived_cl569, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 (~ (ssRr @ X3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X3)
% 49.18/7.59 | ~ (ssRr @ X0 @ X4)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | (ssPv3 @ X2)
% 49.18/7.59 | (ssPv1 @ X4)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl30])).
% 49.18/7.59 thf(zip_derived_cl6170, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 ( (ssPv1 @ X1)
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl569])).
% 49.18/7.59 thf(zip_derived_cl6172, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv1 @ X1))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl6170])).
% 49.18/7.59 thf(zip_derived_cl6174, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6172])).
% 49.18/7.59 thf(zip_derived_cl6178, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6174])).
% 49.18/7.59 thf(zip_derived_cl2441, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl2440, zip_derived_cl1345])).
% 49.18/7.59 thf(zip_derived_cl6186, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl6178, zip_derived_cl2441])).
% 49.18/7.59 thf(zip_derived_cl6210, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl6186])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl2809, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2808])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(clause10, conjecture,
% 49.18/7.59 (~( ( ssPv1 @ W ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv2 @ X ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) |
% 49.18/7.59 ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.59 thf(zf_stmt_34, negated_conjecture,
% 49.18/7.59 (( ssPv1 @ W ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv2 @ X ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) |
% 49.18/7.59 ( ~( ssRr @ U @ V ) )),
% 49.18/7.59 inference('cnf.neg', [status(esa)], [clause10])).
% 49.18/7.59 thf(zip_derived_cl9, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv4 @ X3)
% 49.18/7.59 | ~ (ssRr @ X2 @ X3))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_34])).
% 49.18/7.59 thf(zip_derived_cl107, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | (ssPv1 @ X1))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl9])).
% 49.18/7.59 thf(zip_derived_cl109, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | (ssPv1 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 49.18/7.59 thf(zip_derived_cl2811, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | (ssPv1 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl2809, zip_derived_cl109])).
% 49.18/7.59 thf(zip_derived_cl2826, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 ( (ssPv1 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl2811])).
% 49.18/7.59 thf(zip_derived_cl2933, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2826])).
% 49.18/7.59 thf(zip_derived_cl6664, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl6210, zip_derived_cl2933])).
% 49.18/7.59 thf(zip_derived_cl6678, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl6664])).
% 49.18/7.59 thf(zip_derived_cl6178, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6174])).
% 49.18/7.59 thf(zip_derived_cl121, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl119])).
% 49.18/7.59 thf(zip_derived_cl2809, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2808])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl421, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl417])).
% 49.18/7.59 thf(zip_derived_cl54, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ X1)
% 49.18/7.59 | (ssPv3 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl52])).
% 49.18/7.59 thf(zip_derived_cl422, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X1)
% 49.18/7.59 | (ssPv3 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl421, zip_derived_cl54])).
% 49.18/7.59 thf(zip_derived_cl4432, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl422])).
% 49.18/7.59 thf(zip_derived_cl4433, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl4432])).
% 49.18/7.59 thf(zip_derived_cl971, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl965])).
% 49.18/7.59 thf(zip_derived_cl4456, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl4433, zip_derived_cl971])).
% 49.18/7.59 thf(zip_derived_cl74, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssPv1 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl60])).
% 49.18/7.59 thf(zip_derived_cl4458, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssPv1 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl4456, zip_derived_cl74])).
% 49.18/7.59 thf(zip_derived_cl4509, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssPv4 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4458])).
% 49.18/7.59 thf(zip_derived_cl4511, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X1)
% 49.18/7.59 | ~ (ssPv4 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl4509])).
% 49.18/7.59 thf(zip_derived_cl4512, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4511])).
% 49.18/7.59 thf(zip_derived_cl1273, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl1204, zip_derived_cl1207])).
% 49.18/7.59 thf(zip_derived_cl4513, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl4512, zip_derived_cl1273])).
% 49.18/7.59 thf(zip_derived_cl4526, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl2809, zip_derived_cl4513])).
% 49.18/7.59 thf(zip_derived_cl4529, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl4526])).
% 49.18/7.59 thf(zip_derived_cl2441, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl2440, zip_derived_cl1345])).
% 49.18/7.59 thf(zip_derived_cl4533, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl4529, zip_derived_cl2441])).
% 49.18/7.59 thf(zip_derived_cl4548, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl121, zip_derived_cl4533])).
% 49.18/7.59 thf(zip_derived_cl4554, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl4548])).
% 49.18/7.59 thf(zip_derived_cl6190, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl6178, zip_derived_cl4554])).
% 49.18/7.59 thf(zip_derived_cl6211, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl6190])).
% 49.18/7.59 thf(zip_derived_cl1207, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl1197])).
% 49.18/7.59 thf(zip_derived_cl6593, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl6211, zip_derived_cl1207])).
% 49.18/7.59 thf(zip_derived_cl6758, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl6678, zip_derived_cl6593])).
% 49.18/7.59 thf(zip_derived_cl6758, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl6678, zip_derived_cl6593])).
% 49.18/7.59 thf(zip_derived_cl4000, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3995])).
% 49.18/7.59 thf(zip_derived_cl6786, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl6758, zip_derived_cl4000])).
% 49.18/7.59 thf(zip_derived_cl6798, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl6786])).
% 49.18/7.59 thf(zip_derived_cl7072, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl7071, zip_derived_cl3386])).
% 49.18/7.59 thf(zip_derived_cl7089, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl6798, zip_derived_cl7072])).
% 49.18/7.59 thf(zip_derived_cl7097, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl7089])).
% 49.18/7.59 thf(zip_derived_cl155, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl149])).
% 49.18/7.59 thf(zip_derived_cl591, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl574])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(clause46, conjecture,
% 49.18/7.59 (~( ( ssPv4 @ W ) | ( ~( ssPv1 @ Z ) ) | ( ~( ssRr @ W @ Z ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ X ) ) | ( ~( ssPv2 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.59 thf(zf_stmt_35, negated_conjecture,
% 49.18/7.59 (( ssPv4 @ W ) | ( ~( ssPv1 @ Z ) ) | ( ~( ssRr @ W @ Z ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ X ) ) | ( ~( ssPv2 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.59 inference('cnf.neg', [status(esa)], [clause46])).
% 49.18/7.59 thf(zip_derived_cl45, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv2 @ X3)
% 49.18/7.59 | ~ (ssRr @ X2 @ X3)
% 49.18/7.59 | ~ (ssRr @ X0 @ X4)
% 49.18/7.59 | ~ (ssPv4 @ X5)
% 49.18/7.59 | ~ (ssRr @ X4 @ X5))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_35])).
% 49.18/7.59 thf(zip_derived_cl1309, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 (~ (ssRr @ X3 @ X2)
% 49.18/7.59 | ~ (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X3)
% 49.18/7.59 | ~ (ssRr @ X0 @ X4)
% 49.18/7.59 | ~ (ssPv2 @ X4)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv4 @ X1))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl45])).
% 49.18/7.59 thf(zip_derived_cl2000, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 ( (ssPv4 @ X2)
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssPv4 @ X0))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl1309])).
% 49.18/7.59 thf(zip_derived_cl2002, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | (ssPv4 @ X2))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl2000])).
% 49.18/7.59 thf(zip_derived_cl2003, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv4 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2002])).
% 49.18/7.59 thf(zip_derived_cl2005, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2003])).
% 49.18/7.59 thf(zip_derived_cl2010, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl591, zip_derived_cl2005])).
% 49.18/7.59 thf(zip_derived_cl2012, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl2010])).
% 49.18/7.59 thf(zip_derived_cl121, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl119])).
% 49.18/7.59 thf(zip_derived_cl2014, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl2012, zip_derived_cl121])).
% 49.18/7.59 thf(zip_derived_cl5212, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5205])).
% 49.18/7.59 thf(zip_derived_cl5231, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl2014, zip_derived_cl5212])).
% 49.18/7.59 thf(zip_derived_cl5240, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl5231])).
% 49.18/7.59 thf(zip_derived_cl5271, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl155, zip_derived_cl5240])).
% 49.18/7.59 thf(zip_derived_cl5286, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl5271])).
% 49.18/7.59 thf(zip_derived_cl3623, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl3618, zip_derived_cl2441])).
% 49.18/7.59 thf(zip_derived_cl5300, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl5286, zip_derived_cl3623])).
% 49.18/7.59 thf(zip_derived_cl7072, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl7071, zip_derived_cl3386])).
% 49.18/7.59 thf(zip_derived_cl7086, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl5300, zip_derived_cl7072])).
% 49.18/7.59 thf(zip_derived_cl7095, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl7086])).
% 49.18/7.59 thf(zip_derived_cl7166, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl7097, zip_derived_cl7095])).
% 49.18/7.59 thf(zip_derived_cl7186, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl7166])).
% 49.18/7.59 thf(zip_derived_cl4096, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl4083])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl158, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl156])).
% 49.18/7.59 thf(zip_derived_cl109, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | (ssPv1 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 49.18/7.59 thf(zip_derived_cl167, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X1)
% 49.18/7.59 | (ssPv1 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl109])).
% 49.18/7.59 thf(zip_derived_cl229, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl167])).
% 49.18/7.59 thf(zip_derived_cl230, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl229])).
% 49.18/7.59 thf(zip_derived_cl4103, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl4096, zip_derived_cl230])).
% 49.18/7.59 thf(zip_derived_cl4117, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl4103])).
% 49.18/7.59 thf(zip_derived_cl7280, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl7186, zip_derived_cl4117])).
% 49.18/7.59 thf(zip_derived_cl7337, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl6758, zip_derived_cl7280])).
% 49.18/7.59 thf(zip_derived_cl7350, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl7337])).
% 49.18/7.59 thf(zip_derived_cl7072, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl7071, zip_derived_cl3386])).
% 49.18/7.59 thf(zip_derived_cl7876, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl7350, zip_derived_cl7072])).
% 49.18/7.59 thf(zip_derived_cl7892, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl7876])).
% 49.18/7.59 thf(zip_derived_cl421, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl417])).
% 49.18/7.59 thf(zip_derived_cl5648, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl5239, zip_derived_cl2514])).
% 49.18/7.59 thf(zip_derived_cl5672, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl421, zip_derived_cl5648])).
% 49.18/7.59 thf(zip_derived_cl5688, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl5672])).
% 49.18/7.59 thf(zip_derived_cl5177, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl5176, zip_derived_cl663])).
% 49.18/7.59 thf(zip_derived_cl5917, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl5688, zip_derived_cl5177])).
% 49.18/7.59 thf(zip_derived_cl7280, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl7186, zip_derived_cl4117])).
% 49.18/7.59 thf(zip_derived_cl7331, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl5917, zip_derived_cl7280])).
% 49.18/7.59 thf(zip_derived_cl7346, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl7331])).
% 49.18/7.59 thf(zip_derived_cl5842, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl5685, zip_derived_cl1918])).
% 49.18/7.59 thf(zip_derived_cl7628, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl7346, zip_derived_cl5842])).
% 49.18/7.59 thf(zip_derived_cl7893, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl7892, zip_derived_cl7628])).
% 49.18/7.59 thf(zip_derived_cl6089, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl6076])).
% 49.18/7.59 thf(zip_derived_cl11057, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl11053])).
% 49.18/7.59 thf(zip_derived_cl11110, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl6089, zip_derived_cl11057])).
% 49.18/7.59 thf(zip_derived_cl11130, plain,
% 49.18/7.59 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11110])).
% 49.18/7.59 thf(zip_derived_cl5300, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl5286, zip_derived_cl3623])).
% 49.18/7.59 thf(zip_derived_cl1892, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl1891])).
% 49.18/7.59 thf(zip_derived_cl5305, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl5300, zip_derived_cl1892])).
% 49.18/7.59 thf(zip_derived_cl5325, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl5305])).
% 49.18/7.59 thf(zip_derived_cl11164, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl11130, zip_derived_cl5325])).
% 49.18/7.59 thf(zip_derived_cl11191, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11164])).
% 49.18/7.59 thf(zip_derived_cl11130, plain,
% 49.18/7.59 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11110])).
% 49.18/7.59 thf(zip_derived_cl9589, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl9351])).
% 49.18/7.59 thf(zip_derived_cl4533, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl4529, zip_derived_cl2441])).
% 49.18/7.59 thf(zip_derived_cl9648, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl9589, zip_derived_cl4533])).
% 49.18/7.59 thf(zip_derived_cl9662, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl9648])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl34, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X1)
% 49.18/7.59 | (ssPv2 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssRr @ X3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X4)
% 49.18/7.59 | ~ (ssPv3 @ X5)
% 49.18/7.59 | ~ (ssRr @ X4 @ X5))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_5])).
% 49.18/7.59 thf(zip_derived_cl691, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssPv3 @ X4)
% 49.18/7.59 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl34])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl29, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X1)
% 49.18/7.59 | (ssPv2 @ X2)
% 49.18/7.59 | (ssPv3 @ X3)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X4)
% 49.18/7.59 | ~ (ssRr @ X4 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X5)
% 49.18/7.59 | ~ (ssRr @ X5 @ X3))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_1])).
% 49.18/7.59 thf(zip_derived_cl542, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X1)
% 49.18/7.59 | (ssPv3 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssRr @ X3 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X4)
% 49.18/7.59 | ~ (ssRr @ X4 @ X2))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl29])).
% 49.18/7.59 thf(zip_derived_cl10007, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 (~ (ssRr @ X3 @ X4)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | (ssPv2 @ X1)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl691, zip_derived_cl542])).
% 49.18/7.59 thf(zip_derived_cl10010, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 ( (ssPv4 @ X2)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X2))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl10007])).
% 49.18/7.59 thf(zip_derived_cl10012, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X2))
% 49.18/7.59 | (ssPv4 @ X2))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl10010])).
% 49.18/7.59 thf(zip_derived_cl10014, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssRr @ X1 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X1))
% 49.18/7.59 | (ssPv4 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl10012])).
% 49.18/7.59 thf(zip_derived_cl10018, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl10014])).
% 49.18/7.59 thf(zip_derived_cl10046, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl9662, zip_derived_cl10018])).
% 49.18/7.59 thf(zip_derived_cl5917, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl5688, zip_derived_cl5177])).
% 49.18/7.59 thf(zip_derived_cl7943, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7853])).
% 49.18/7.59 thf(zip_derived_cl1892, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl1891])).
% 49.18/7.59 thf(zip_derived_cl7978, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl7943, zip_derived_cl1892])).
% 49.18/7.59 thf(zip_derived_cl8000, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl7978])).
% 49.18/7.59 thf(zip_derived_cl8060, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl5917, zip_derived_cl8000])).
% 49.18/7.59 thf(zip_derived_cl8081, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl8060])).
% 49.18/7.59 thf(zip_derived_cl7628, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl7346, zip_derived_cl5842])).
% 49.18/7.59 thf(zip_derived_cl8223, plain,
% 49.18/7.59 (![X0 : $i]: ( (ssPv2 @ (skf1 @ X0)) | (ssPv2 @ X0) | (ssPv3 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl8081, zip_derived_cl7628])).
% 49.18/7.59 thf(zip_derived_cl10047, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl10046, zip_derived_cl8223])).
% 49.18/7.59 thf(zip_derived_cl2809, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2808])).
% 49.18/7.59 thf(zip_derived_cl2005, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2003])).
% 49.18/7.59 thf(zip_derived_cl2821, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl2809, zip_derived_cl2005])).
% 49.18/7.59 thf(zip_derived_cl2831, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl2821])).
% 49.18/7.59 thf(zip_derived_cl2441, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl2440, zip_derived_cl1345])).
% 49.18/7.59 thf(zip_derived_cl2834, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl2831, zip_derived_cl2441])).
% 49.18/7.59 thf(zip_derived_cl10062, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl10047, zip_derived_cl2834])).
% 49.18/7.59 thf(zip_derived_cl10069, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0)) | (ssPv3 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl10062])).
% 49.18/7.59 thf(zip_derived_cl11170, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl11130, zip_derived_cl10069])).
% 49.18/7.59 thf(zip_derived_cl11195, plain,
% 49.18/7.59 (![X0 : $i]: ( (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ X0) | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11170])).
% 49.18/7.59 thf(zip_derived_cl11295, plain,
% 49.18/7.59 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv1 @ X0) | (ssPv2 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)],
% 49.18/7.59 [zip_derived_cl11191, zip_derived_cl11195])).
% 49.18/7.59 thf(zip_derived_cl141, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl137])).
% 49.18/7.59 thf(zip_derived_cl7943, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7853])).
% 49.18/7.59 thf(zip_derived_cl3386, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl3385, zip_derived_cl1892])).
% 49.18/7.59 thf(zip_derived_cl7982, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl7943, zip_derived_cl3386])).
% 49.18/7.59 thf(zip_derived_cl8002, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl7982])).
% 49.18/7.59 thf(zip_derived_cl8129, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl141, zip_derived_cl8002])).
% 49.18/7.59 thf(zip_derived_cl8157, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl8129])).
% 49.18/7.59 thf(zip_derived_cl11309, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl11295, zip_derived_cl8157])).
% 49.18/7.59 thf(zip_derived_cl11318, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11309])).
% 49.18/7.59 thf(zip_derived_cl11383, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl7893, zip_derived_cl11318])).
% 49.18/7.59 thf(zip_derived_cl11398, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11383])).
% 49.18/7.59 thf(zip_derived_cl3178, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl3172])).
% 49.18/7.59 thf(zip_derived_cl8008, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl7991])).
% 49.18/7.59 thf(zip_derived_cl8345, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl3178, zip_derived_cl8008])).
% 49.18/7.59 thf(zip_derived_cl8364, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl8345])).
% 49.18/7.59 thf(zip_derived_cl7893, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl7892, zip_derived_cl7628])).
% 49.18/7.59 thf(zip_derived_cl7095, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl7086])).
% 49.18/7.59 thf(zip_derived_cl7910, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl7893, zip_derived_cl7095])).
% 49.18/7.59 thf(zip_derived_cl7931, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl7910])).
% 49.18/7.59 thf(zip_derived_cl155, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl149])).
% 49.18/7.59 thf(zip_derived_cl5648, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl5239, zip_derived_cl2514])).
% 49.18/7.59 thf(zip_derived_cl5671, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl155, zip_derived_cl5648])).
% 49.18/7.59 thf(zip_derived_cl5687, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl5671])).
% 49.18/7.59 thf(zip_derived_cl1607, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl1420, zip_derived_cl663])).
% 49.18/7.59 thf(zip_derived_cl971, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl965])).
% 49.18/7.59 thf(zip_derived_cl1617, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup+', [status(thm)],
% 49.18/7.59 [zip_derived_cl1607, zip_derived_cl971])).
% 49.18/7.59 thf(zip_derived_cl1656, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl1617])).
% 49.18/7.59 thf(zip_derived_cl663, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl659])).
% 49.18/7.59 thf(zip_derived_cl1777, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl1656, zip_derived_cl663])).
% 49.18/7.59 thf(zip_derived_cl5704, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl5687, zip_derived_cl1777])).
% 49.18/7.59 thf(zip_derived_cl7944, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl7931, zip_derived_cl5704])).
% 49.18/7.59 thf(zip_derived_cl8441, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl8364, zip_derived_cl7944])).
% 49.18/7.59 thf(zip_derived_cl11833, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0) | (ssPv2 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl11398, zip_derived_cl8441])).
% 49.18/7.59 thf(zip_derived_cl12251, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0)) | (ssPv2 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)],
% 49.18/7.59 [zip_derived_cl11812, zip_derived_cl11833])).
% 49.18/7.59 thf(zip_derived_cl11132, plain,
% 49.18/7.59 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv1 @ (skf1 @ X0)) | ~ (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11112])).
% 49.18/7.59 thf(zip_derived_cl5212, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5205])).
% 49.18/7.59 thf(zip_derived_cl11227, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl11132, zip_derived_cl5212])).
% 49.18/7.59 thf(zip_derived_cl11242, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11227])).
% 49.18/7.59 thf(zip_derived_cl12269, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl12251, zip_derived_cl11242])).
% 49.18/7.59 thf(zip_derived_cl12277, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl12269])).
% 49.18/7.59 thf(zip_derived_cl11132, plain,
% 49.18/7.59 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv1 @ (skf1 @ X0)) | ~ (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11112])).
% 49.18/7.59 thf(zip_derived_cl10069, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0)) | (ssPv3 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl10062])).
% 49.18/7.59 thf(zip_derived_cl11219, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl11132, zip_derived_cl10069])).
% 49.18/7.59 thf(zip_derived_cl11240, plain,
% 49.18/7.59 (![X0 : $i]: ( (ssPv3 @ (skf1 @ X0)) | (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11219])).
% 49.18/7.59 thf(zip_derived_cl12278, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ (skf1 @ X0)) | (ssPv2 @ X0) | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)],
% 49.18/7.59 [zip_derived_cl12277, zip_derived_cl11240])).
% 49.18/7.59 thf(zip_derived_cl1892, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl1891])).
% 49.18/7.59 thf(zip_derived_cl12283, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl12278, zip_derived_cl1892])).
% 49.18/7.59 thf(zip_derived_cl12299, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl12283])).
% 49.18/7.59 thf(zip_derived_cl11833, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0) | (ssPv2 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl11398, zip_derived_cl8441])).
% 49.18/7.59 thf(zip_derived_cl12309, plain,
% 49.18/7.59 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)],
% 49.18/7.59 [zip_derived_cl12299, zip_derived_cl11833])).
% 49.18/7.59 thf(zip_derived_cl12330, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl5861, zip_derived_cl12309])).
% 49.18/7.59 thf(zip_derived_cl12350, plain,
% 49.18/7.59 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv3 @ X0) | (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl12330])).
% 49.18/7.59 thf(zip_derived_cl12379, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl9589, zip_derived_cl12350])).
% 49.18/7.59 thf(zip_derived_cl12382, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl12379])).
% 49.18/7.59 thf(zip_derived_cl155, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl149])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(clause39, conjecture,
% 49.18/7.59 (~( ( ssPv4 @ W ) | ( ssPv4 @ Y ) | ( ~( ssPv1 @ Z ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 49.18/7.59 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) |
% 49.18/7.59 ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.59 thf(zf_stmt_36, negated_conjecture,
% 49.18/7.59 (( ssPv4 @ W ) | ( ssPv4 @ Y ) | ( ~( ssPv1 @ Z ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.59 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 49.18/7.59 inference('cnf.neg', [status(esa)], [clause39])).
% 49.18/7.59 thf(zip_derived_cl38, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv4 @ X1)
% 49.18/7.59 | ~ (ssPv1 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssRr @ X3 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X4)
% 49.18/7.59 | ~ (ssPv3 @ X5)
% 49.18/7.59 | ~ (ssRr @ X4 @ X5))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_36])).
% 49.18/7.59 thf(zip_derived_cl857, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv4 @ X1)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssPv3 @ X4)
% 49.18/7.59 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl38])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl36, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | ~ (ssPv2 @ X3)
% 49.18/7.59 | ~ (ssRr @ X2 @ X3)
% 49.18/7.59 | ~ (ssRr @ X0 @ X4)
% 49.18/7.59 | ~ (ssPv3 @ X5)
% 49.18/7.59 | ~ (ssRr @ X4 @ X5))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_4])).
% 49.18/7.59 thf(zip_derived_cl751, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | ~ (ssPv2 @ X2)
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssPv3 @ X4)
% 49.18/7.59 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl36])).
% 49.18/7.59 thf(zip_derived_cl10012, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X2))
% 49.18/7.59 | (ssPv4 @ X2))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl10010])).
% 49.18/7.59 thf(zip_derived_cl10826, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 (~ (ssRr @ X3 @ X4)
% 49.18/7.59 | ~ (ssPv3 @ X4)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssRr @ X1 @ X2)
% 49.18/7.59 | ~ (ssRr @ X0 @ X1)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl751, zip_derived_cl10012])).
% 49.18/7.59 thf(zip_derived_cl10829, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 ( (ssPv4 @ X2)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X2))
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X0))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl10826])).
% 49.18/7.59 thf(zip_derived_cl10831, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | (ssPv1 @ (skf1 @ X2))
% 49.18/7.59 | (ssPv4 @ X2))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl10829])).
% 49.18/7.59 thf(zip_derived_cl12958, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.59 (~ (ssRr @ X3 @ X4)
% 49.18/7.59 | ~ (ssPv3 @ X4)
% 49.18/7.59 | ~ (ssRr @ X0 @ X3)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssRr @ X0 @ X2)
% 49.18/7.59 | (ssPv4 @ X1)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl857, zip_derived_cl10831])).
% 49.18/7.59 thf(zip_derived_cl12961, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 ( (ssPv4 @ X2)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | ~ (ssPv3 @ X0))),
% 49.18/7.59 inference('eq_fact', [status(thm)], [zip_derived_cl12958])).
% 49.18/7.59 thf(zip_derived_cl12963, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.59 (~ (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssRr @ X2 @ X1)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv4 @ X2))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl12961])).
% 49.18/7.59 thf(zip_derived_cl12964, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X1))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl12963])).
% 49.18/7.59 thf(zip_derived_cl12976, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl12964])).
% 49.18/7.59 thf(zip_derived_cl2005, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2003])).
% 49.18/7.59 thf(zip_derived_cl12991, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl12976, zip_derived_cl2005])).
% 49.18/7.59 thf(zip_derived_cl12997, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl12991])).
% 49.18/7.59 thf(zip_derived_cl11057, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl11053])).
% 49.18/7.59 thf(zip_derived_cl13000, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('clc', [status(thm)],
% 49.18/7.59 [zip_derived_cl12997, zip_derived_cl11057])).
% 49.18/7.59 thf(zip_derived_cl13025, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl155, zip_derived_cl13000])).
% 49.18/7.59 thf(zip_derived_cl13035, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl13025])).
% 49.18/7.59 thf(zip_derived_cl10047, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl10046, zip_derived_cl8223])).
% 49.18/7.59 thf(zip_derived_cl13000, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('clc', [status(thm)],
% 49.18/7.59 [zip_derived_cl12997, zip_derived_cl11057])).
% 49.18/7.59 thf(zip_derived_cl13032, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl10047, zip_derived_cl13000])).
% 49.18/7.59 thf(zip_derived_cl13038, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl13032])).
% 49.18/7.59 thf(zip_derived_cl13296, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0) | (ssPv2 @ X0) | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('clc', [status(thm)],
% 49.18/7.59 [zip_derived_cl13035, zip_derived_cl13038])).
% 49.18/7.59 thf(zip_derived_cl1679, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1676])).
% 49.18/7.59 thf(zip_derived_cl13000, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('clc', [status(thm)],
% 49.18/7.59 [zip_derived_cl12997, zip_derived_cl11057])).
% 49.18/7.59 thf(zip_derived_cl13029, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl1679, zip_derived_cl13000])).
% 49.18/7.59 thf(zip_derived_cl13036, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl13029])).
% 49.18/7.59 thf(zip_derived_cl11240, plain,
% 49.18/7.59 (![X0 : $i]: ( (ssPv3 @ (skf1 @ X0)) | (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11219])).
% 49.18/7.59 thf(zip_derived_cl13128, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ X0) | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))) | (ssPv4 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)],
% 49.18/7.59 [zip_derived_cl13036, zip_derived_cl11240])).
% 49.18/7.59 thf(zip_derived_cl13297, plain,
% 49.18/7.59 (![X0 : $i]: (~ (ssPv3 @ (skf1 @ (skf1 @ X0))) | (ssPv4 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)],
% 49.18/7.59 [zip_derived_cl13296, zip_derived_cl13128])).
% 49.18/7.59 thf(zip_derived_cl13944, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)],
% 49.18/7.59 [zip_derived_cl12382, zip_derived_cl13297])).
% 49.18/7.59 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.59 thf(zip_derived_cl11132, plain,
% 49.18/7.59 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv1 @ (skf1 @ X0)) | ~ (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11112])).
% 49.18/7.59 thf(zip_derived_cl1144, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1143])).
% 49.18/7.59 thf(zip_derived_cl11204, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 (~ (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | (ssPv3 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl11132, zip_derived_cl1144])).
% 49.18/7.59 thf(zip_derived_cl11240, plain,
% 49.18/7.59 (![X0 : $i]: ( (ssPv3 @ (skf1 @ X0)) | (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11219])).
% 49.18/7.59 thf(zip_derived_cl13484, plain,
% 49.18/7.59 (![X0 : $i, X1 : $i]:
% 49.18/7.59 ( (ssPv3 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X1)
% 49.18/7.59 | ~ (ssRr @ X1 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv2 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)],
% 49.18/7.59 [zip_derived_cl11204, zip_derived_cl11240])).
% 49.18/7.59 thf(zip_derived_cl13485, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl13484])).
% 49.18/7.59 thf(zip_derived_cl2005, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2003])).
% 49.18/7.59 thf(zip_derived_cl13512, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl13485, zip_derived_cl2005])).
% 49.18/7.59 thf(zip_derived_cl13521, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl13512])).
% 49.18/7.59 thf(zip_derived_cl13297, plain,
% 49.18/7.59 (![X0 : $i]: (~ (ssPv3 @ (skf1 @ (skf1 @ X0))) | (ssPv4 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)],
% 49.18/7.59 [zip_derived_cl13296, zip_derived_cl13128])).
% 49.18/7.59 thf(zip_derived_cl13524, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)],
% 49.18/7.59 [zip_derived_cl13521, zip_derived_cl13297])).
% 49.18/7.59 thf(zip_derived_cl13961, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl13944, zip_derived_cl13524])).
% 49.18/7.59 thf(zip_derived_cl13964, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ X0) | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl13961])).
% 49.18/7.59 thf(zip_derived_cl2184, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl1894, zip_derived_cl121])).
% 49.18/7.59 thf(zip_derived_cl3087, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl3085, zip_derived_cl2337])).
% 49.18/7.59 thf(zip_derived_cl11761, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)], [zip_derived_cl11634, zip_derived_cl8008])).
% 49.18/7.59 thf(zip_derived_cl11796, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv1 @ X0)
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl3087, zip_derived_cl11761])).
% 49.18/7.59 thf(zip_derived_cl11810, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11796])).
% 49.18/7.59 thf(zip_derived_cl11195, plain,
% 49.18/7.59 (![X0 : $i]: ( (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ X0) | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11170])).
% 49.18/7.59 thf(zip_derived_cl11937, plain,
% 49.18/7.59 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv4 @ X0) | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.59 inference('clc', [status(thm)],
% 49.18/7.59 [zip_derived_cl11810, zip_derived_cl11195])).
% 49.18/7.59 thf(zip_derived_cl11130, plain,
% 49.18/7.59 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11110])).
% 49.18/7.59 thf(zip_derived_cl5212, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5205])).
% 49.18/7.59 thf(zip_derived_cl11178, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl11130, zip_derived_cl5212])).
% 49.18/7.59 thf(zip_derived_cl11197, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.59 inference('simplify', [status(thm)], [zip_derived_cl11178])).
% 49.18/7.59 thf(zip_derived_cl11955, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv4 @ (skf1 @ X0))
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv2 @ X0)
% 49.18/7.59 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.59 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.59 inference('s_sup-', [status(thm)],
% 49.18/7.59 [zip_derived_cl11937, zip_derived_cl11197])).
% 49.18/7.59 thf(zip_derived_cl11961, plain,
% 49.18/7.59 (![X0 : $i]:
% 49.18/7.59 ( (ssPv2 @ X0) | ~ (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl11955])).
% 49.18/7.60 thf(zip_derived_cl1892, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl1891])).
% 49.18/7.60 thf(zip_derived_cl11967, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl11961, zip_derived_cl1892])).
% 49.18/7.60 thf(zip_derived_cl11983, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl11967])).
% 49.18/7.60 thf(zip_derived_cl12011, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl2184, zip_derived_cl11983])).
% 49.18/7.60 thf(zip_derived_cl12024, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ X0)
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl12011])).
% 49.18/7.60 thf(zip_derived_cl11057, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl11053])).
% 49.18/7.60 thf(zip_derived_cl12191, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv4 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl12024, zip_derived_cl11057])).
% 49.18/7.60 thf(zip_derived_cl5861, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl5849])).
% 49.18/7.60 thf(zip_derived_cl12192, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ X0)
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup+', [status(thm)],
% 49.18/7.60 [zip_derived_cl12191, zip_derived_cl5861])).
% 49.18/7.60 thf(zip_derived_cl12242, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv4 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl12192])).
% 49.18/7.60 thf(zip_derived_cl12251, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0)) | (ssPv2 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl11812, zip_derived_cl11833])).
% 49.18/7.60 thf(zip_derived_cl12933, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ X0) | (ssPv2 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl12242, zip_derived_cl12251])).
% 49.18/7.60 thf(zip_derived_cl13984, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl13964, zip_derived_cl12933])).
% 49.18/7.60 thf(zip_derived_cl13990, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv2 @ X0) | (ssPv4 @ X0) | (ssPv4 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl11132, zip_derived_cl13984])).
% 49.18/7.60 thf(zip_derived_cl13993, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl13990])).
% 49.18/7.60 thf(zip_derived_cl3163, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup+', [status(thm)], [zip_derived_cl3162, zip_derived_cl0])).
% 49.18/7.60 thf(zip_derived_cl14003, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl13993, zip_derived_cl3163])).
% 49.18/7.60 thf(zip_derived_cl770, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl765])).
% 49.18/7.60 thf(zip_derived_cl14809, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl14003, zip_derived_cl770])).
% 49.18/7.60 thf(zip_derived_cl3163, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup+', [status(thm)], [zip_derived_cl3162, zip_derived_cl0])).
% 49.18/7.60 thf(zip_derived_cl14809, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl14003, zip_derived_cl770])).
% 49.18/7.60 thf(zip_derived_cl13944, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ X0)
% 49.18/7.60 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl12382, zip_derived_cl13297])).
% 49.18/7.60 thf(zip_derived_cl14821, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup+', [status(thm)],
% 49.18/7.60 [zip_derived_cl14809, zip_derived_cl13944])).
% 49.18/7.60 thf(zip_derived_cl13944, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ X0)
% 49.18/7.60 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl12382, zip_derived_cl13297])).
% 49.18/7.60 thf(zip_derived_cl2014, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl2012, zip_derived_cl121])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl11961, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0) | ~ (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl11955])).
% 49.18/7.60 thf(zip_derived_cl141, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl137])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl43, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.18/7.60 ( (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X1 @ X2)
% 49.18/7.60 | ~ (ssPv1 @ X3)
% 49.18/7.60 | ~ (ssRr @ X2 @ X3)
% 49.18/7.60 | ~ (ssRr @ X1 @ X4)
% 49.18/7.60 | ~ (ssPv3 @ X5)
% 49.18/7.60 | ~ (ssRr @ X4 @ X5))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_11])).
% 49.18/7.60 thf(zip_derived_cl1137, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.60 (~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssPv3 @ X2)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X4 @ X3)
% 49.18/7.60 | ~ (ssPv1 @ X3)
% 49.18/7.60 | ~ (ssRr @ X1 @ X4)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | (ssPv3 @ X0))),
% 49.18/7.60 inference('eq_fact', [status(thm)], [zip_derived_cl43])).
% 49.18/7.60 thf(zip_derived_cl1492, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X3 @ X2)
% 49.18/7.60 | ~ (ssPv1 @ X2)
% 49.18/7.60 | ~ (ssRr @ X1 @ X3)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | (ssPv3 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1137])).
% 49.18/7.60 thf(zip_derived_cl1502, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssRr @ X2 @ X1)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1492])).
% 49.18/7.60 thf(zip_derived_cl1511, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X2 @ X1)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl141, zip_derived_cl1502])).
% 49.18/7.60 thf(zip_derived_cl1525, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ X2 @ X1)
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl1511])).
% 49.18/7.60 thf(zip_derived_cl1892, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl1891])).
% 49.18/7.60 thf(zip_derived_cl4304, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X2 @ X1)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ X0 @ X2))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl1525, zip_derived_cl1892])).
% 49.18/7.60 thf(zip_derived_cl11972, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X2 @ X1)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ X0 @ X2))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl11961, zip_derived_cl4304])).
% 49.18/7.60 thf(zip_derived_cl11985, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 (~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ X2 @ X1)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl11972])).
% 49.18/7.60 thf(zip_derived_cl12436, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl11985])).
% 49.18/7.60 thf(zip_derived_cl12493, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl12436])).
% 49.18/7.60 thf(zip_derived_cl12509, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl2014, zip_derived_cl12493])).
% 49.18/7.60 thf(zip_derived_cl12517, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl12509])).
% 49.18/7.60 thf(zip_derived_cl13524, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv4 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl13521, zip_derived_cl13297])).
% 49.18/7.60 thf(zip_derived_cl13754, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl12517, zip_derived_cl13524])).
% 49.18/7.60 thf(zip_derived_cl11130, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl11110])).
% 49.18/7.60 thf(zip_derived_cl13755, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ X0) | (ssPv4 @ X0) | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl13754, zip_derived_cl11130])).
% 49.18/7.60 thf(zip_derived_cl13962, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv4 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl13944, zip_derived_cl13755])).
% 49.18/7.60 thf(zip_derived_cl13965, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv4 @ X0) | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl13962])).
% 49.18/7.60 thf(zip_derived_cl11937, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv4 @ X0) | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl11810, zip_derived_cl11195])).
% 49.18/7.60 thf(zip_derived_cl13971, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv1 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl13965, zip_derived_cl11937])).
% 49.18/7.60 thf(zip_derived_cl14848, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv4 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14821, zip_derived_cl13971])).
% 49.18/7.60 thf(zip_derived_cl13297, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv3 @ (skf1 @ (skf1 @ X0))) | (ssPv4 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl13296, zip_derived_cl13128])).
% 49.18/7.60 thf(zip_derived_cl14849, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14848, zip_derived_cl13297])).
% 49.18/7.60 thf(zip_derived_cl8223, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv2 @ (skf1 @ X0)) | (ssPv2 @ X0) | (ssPv3 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl8081, zip_derived_cl7628])).
% 49.18/7.60 thf(zip_derived_cl14850, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv2 @ X0) | (ssPv3 @ X0))),
% 49.18/7.60 inference('s_sup+', [status(thm)],
% 49.18/7.60 [zip_derived_cl14849, zip_derived_cl8223])).
% 49.18/7.60 thf(zip_derived_cl13993, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl13990])).
% 49.18/7.60 thf(zip_derived_cl14874, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv4 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14850, zip_derived_cl13993])).
% 49.18/7.60 thf(zip_derived_cl179, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv4 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl176])).
% 49.18/7.60 thf(zip_derived_cl11057, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl11053])).
% 49.18/7.60 thf(zip_derived_cl11094, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv4 @ X0)
% 49.18/7.60 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl179, zip_derived_cl11057])).
% 49.18/7.60 thf(zip_derived_cl11123, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv4 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl11094])).
% 49.18/7.60 thf(zip_derived_cl10069, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ (skf1 @ X0)) | (ssPv3 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl10062])).
% 49.18/7.60 thf(zip_derived_cl12529, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv3 @ (skf1 @ X0)) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl11123, zip_derived_cl10069])).
% 49.18/7.60 thf(zip_derived_cl155, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | (ssPv4 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl149])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl13993, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl13990])).
% 49.18/7.60 thf(zip_derived_cl524, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X1 @ X2)
% 49.18/7.60 | ~ (ssPv4 @ X2)
% 49.18/7.60 | ~ (ssPv3 @ X2)
% 49.18/7.60 | (ssPv2 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl517])).
% 49.18/7.60 thf(zip_derived_cl13997, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X1 @ X2)
% 49.18/7.60 | ~ (ssPv4 @ X2)
% 49.18/7.60 | ~ (ssPv3 @ X2)
% 49.18/7.60 | (ssPv2 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl13993, zip_derived_cl524])).
% 49.18/7.60 thf(zip_derived_cl14083, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 ( (ssPv2 @ X1)
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('eq_fact', [status(thm)], [zip_derived_cl13997])).
% 49.18/7.60 thf(zip_derived_cl14084, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14083])).
% 49.18/7.60 thf(zip_derived_cl12529, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv3 @ (skf1 @ X0)) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl11123, zip_derived_cl10069])).
% 49.18/7.60 thf(zip_derived_cl12251, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0)) | (ssPv2 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl11812, zip_derived_cl11833])).
% 49.18/7.60 thf(zip_derived_cl5212, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5205])).
% 49.18/7.60 thf(zip_derived_cl485, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ X0)
% 49.18/7.60 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl483])).
% 49.18/7.60 thf(zip_derived_cl5218, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup+', [status(thm)],
% 49.18/7.60 [zip_derived_cl5212, zip_derived_cl485])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl141, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl137])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl485, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ X0)
% 49.18/7.60 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl483])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl25, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X1)
% 49.18/7.60 | ~ (ssRr @ X0 @ X1)
% 49.18/7.60 | ~ (ssPv4 @ X2)
% 49.18/7.60 | ~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssRr @ X0 @ X3)
% 49.18/7.60 | ~ (ssPv1 @ X4)
% 49.18/7.60 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_21])).
% 49.18/7.60 thf(zip_derived_cl199, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.60 (~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssPv1 @ X2)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X1 @ X3)
% 49.18/7.60 | ~ (ssPv4 @ X3)
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv2 @ X1))),
% 49.18/7.60 inference('eq_fact', [status(thm)], [zip_derived_cl25])).
% 49.18/7.60 thf(zip_derived_cl219, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X1 @ X2)
% 49.18/7.60 | ~ (ssPv4 @ X2)
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv2 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl199])).
% 49.18/7.60 thf(zip_derived_cl488, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X1 @ X2)
% 49.18/7.60 | ~ (ssPv4 @ X2)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl485, zip_derived_cl219])).
% 49.18/7.60 thf(zip_derived_cl1177, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl1176])).
% 49.18/7.60 thf(zip_derived_cl4832, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 ( (ssPv2 @ X1)
% 49.18/7.60 | ~ (ssPv4 @ X2)
% 49.18/7.60 | ~ (ssRr @ X1 @ X2)
% 49.18/7.60 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl488, zip_derived_cl1177])).
% 49.18/7.60 thf(zip_derived_cl4833, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ X1)
% 49.18/7.60 | ~ (ssRr @ X0 @ X1)
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4832])).
% 49.18/7.60 thf(zip_derived_cl4858, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ X1)
% 49.18/7.60 | ~ (ssRr @ X0 @ X1)
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl141, zip_derived_cl4833])).
% 49.18/7.60 thf(zip_derived_cl4881, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 ( (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssRr @ X0 @ X1)
% 49.18/7.60 | ~ (ssPv4 @ X1)
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl4858])).
% 49.18/7.60 thf(zip_derived_cl4893, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4881])).
% 49.18/7.60 thf(zip_derived_cl4894, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl4893])).
% 49.18/7.60 thf(zip_derived_cl6832, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl5218, zip_derived_cl4894])).
% 49.18/7.60 thf(zip_derived_cl842, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl837])).
% 49.18/7.60 thf(zip_derived_cl6833, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl6832, zip_derived_cl842])).
% 49.18/7.60 thf(zip_derived_cl12268, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl12251, zip_derived_cl6833])).
% 49.18/7.60 thf(zip_derived_cl12276, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl12268])).
% 49.18/7.60 thf(zip_derived_cl12900, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl12529, zip_derived_cl12276])).
% 49.18/7.60 thf(zip_derived_cl12915, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl12900])).
% 49.18/7.60 thf(zip_derived_cl11833, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0) | (ssPv2 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl11398, zip_derived_cl8441])).
% 49.18/7.60 thf(zip_derived_cl11584, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl11569])).
% 49.18/7.60 thf(zip_derived_cl11844, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl11833, zip_derived_cl11584])).
% 49.18/7.60 thf(zip_derived_cl11857, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv2 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl11844])).
% 49.18/7.60 thf(zip_derived_cl13612, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0)) | (ssPv4 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl12915, zip_derived_cl11857])).
% 49.18/7.60 thf(zip_derived_cl14085, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14084, zip_derived_cl13612])).
% 49.18/7.60 thf(zip_derived_cl14109, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl155, zip_derived_cl14085])).
% 49.18/7.60 thf(zip_derived_cl14120, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv3 @ (skf1 @ X0)) | (ssPv2 @ X0) | (ssPv4 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl14109])).
% 49.18/7.60 thf(zip_derived_cl13993, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl13990])).
% 49.18/7.60 thf(zip_derived_cl14126, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14120, zip_derived_cl13993])).
% 49.18/7.60 thf(zip_derived_cl14137, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv4 @ X0) | (ssPv4 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl12529, zip_derived_cl14126])).
% 49.18/7.60 thf(zip_derived_cl14147, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl14137])).
% 49.18/7.60 thf(zip_derived_cl14875, plain, (![X0 : $i]: (ssPv4 @ X0)),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14874, zip_derived_cl14147])).
% 49.18/7.60 thf(zip_derived_cl14943, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0) | (ssPv1 @ X0) | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('demod', [status(thm)],
% 49.18/7.60 [zip_derived_cl3163, zip_derived_cl14875])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl6593, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl6211, zip_derived_cl1207])).
% 49.18/7.60 thf(zip_derived_cl14126, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14120, zip_derived_cl13993])).
% 49.18/7.60 thf(zip_derived_cl14145, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl6593, zip_derived_cl14126])).
% 49.18/7.60 thf(zip_derived_cl14148, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ X0) | (ssPv3 @ (skf1 @ X0)) | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl14145])).
% 49.18/7.60 thf(zip_derived_cl14147, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl14137])).
% 49.18/7.60 thf(zip_derived_cl14255, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14148, zip_derived_cl14147])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl6, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | (ssPv3 @ X1)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ X2)
% 49.18/7.60 | ~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssRr @ X0 @ X3)
% 49.18/7.60 | ~ (ssRr @ X3 @ X1))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_13])).
% 49.18/7.60 thf(zip_derived_cl134, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | (ssPv3 @ X1)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssRr @ X2 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 49.18/7.60 thf(zip_derived_cl14257, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 (~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | (ssPv3 @ X1)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssRr @ X2 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl14255, zip_derived_cl134])).
% 49.18/7.60 thf(zip_derived_cl12350, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv3 @ X0) | (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl12330])).
% 49.18/7.60 thf(zip_derived_cl14698, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 (~ (ssRr @ X2 @ X1)
% 49.18/7.60 | ~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ X1)
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14257, zip_derived_cl12350])).
% 49.18/7.60 thf(zip_derived_cl14699, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14698])).
% 49.18/7.60 thf(zip_derived_cl14720, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ X0) | (ssPv3 @ (skf1 @ (skf1 @ X0))) | (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14699])).
% 49.18/7.60 thf(zip_derived_cl15031, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv3 @ (skf1 @ (skf1 @ X0))) | (ssPv2 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14943, zip_derived_cl14720])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl14147, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl14137])).
% 49.18/7.60 thf(zip_derived_cl109, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X1)
% 49.18/7.60 | (ssPv1 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 49.18/7.60 thf(zip_derived_cl14153, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X1)
% 49.18/7.60 | (ssPv1 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl14147, zip_derived_cl109])).
% 49.18/7.60 thf(zip_derived_cl14085, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14084, zip_derived_cl13612])).
% 49.18/7.60 thf(zip_derived_cl155, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | (ssPv4 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl149])).
% 49.18/7.60 thf(zip_derived_cl14093, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | (ssPv4 @ X0))),
% 49.18/7.60 inference('s_sup+', [status(thm)],
% 49.18/7.60 [zip_derived_cl14085, zip_derived_cl155])).
% 49.18/7.60 thf(zip_derived_cl14124, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl14093])).
% 49.18/7.60 thf(zip_derived_cl12278, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ (skf1 @ X0)) | (ssPv2 @ X0) | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl12277, zip_derived_cl11240])).
% 49.18/7.60 thf(zip_derived_cl3386, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl3385, zip_derived_cl1892])).
% 49.18/7.60 thf(zip_derived_cl12286, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl12278, zip_derived_cl3386])).
% 49.18/7.60 thf(zip_derived_cl12300, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv4 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl12286])).
% 49.18/7.60 thf(zip_derived_cl11833, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0) | (ssPv2 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl11398, zip_derived_cl8441])).
% 49.18/7.60 thf(zip_derived_cl12386, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl12300, zip_derived_cl11833])).
% 49.18/7.60 thf(zip_derived_cl14163, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14124, zip_derived_cl12386])).
% 49.18/7.60 thf(zip_derived_cl14191, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 ( (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssPv3 @ X1)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14153, zip_derived_cl14163])).
% 49.18/7.60 thf(zip_derived_cl14192, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ X0) | ~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14191])).
% 49.18/7.60 thf(zip_derived_cl15045, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv1 @ X0) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl15031, zip_derived_cl14192])).
% 49.18/7.60 thf(zip_derived_cl663, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | (ssPv3 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl659])).
% 49.18/7.60 thf(zip_derived_cl770, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl765])).
% 49.18/7.60 thf(zip_derived_cl777, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl663, zip_derived_cl770])).
% 49.18/7.60 thf(zip_derived_cl783, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ X0)
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl777])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl27, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X1)
% 49.18/7.60 | ~ (ssRr @ X0 @ X1)
% 49.18/7.60 | ~ (ssPv4 @ X2)
% 49.18/7.60 | ~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssRr @ X0 @ X3)
% 49.18/7.60 | ~ (ssPv4 @ X4)
% 49.18/7.60 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_31])).
% 49.18/7.60 thf(zip_derived_cl516, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv4 @ X1)
% 49.18/7.60 | ~ (ssRr @ X0 @ X1)
% 49.18/7.60 | ~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssPv4 @ X3)
% 49.18/7.60 | ~ (ssRr @ X2 @ X3))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl27])).
% 49.18/7.60 thf(zip_derived_cl1105, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv4 @ X1)
% 49.18/7.60 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 49.18/7.60 | ~ (ssRr @ (skf1 @ X0) @ X2)
% 49.18/7.60 | ~ (ssPv4 @ X3)
% 49.18/7.60 | ~ (ssRr @ X2 @ X3))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl783, zip_derived_cl516])).
% 49.18/7.60 thf(zip_derived_cl1115, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.60 (~ (ssRr @ X2 @ X3)
% 49.18/7.60 | ~ (ssPv4 @ X3)
% 49.18/7.60 | ~ (ssRr @ (skf1 @ X0) @ X2)
% 49.18/7.60 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 49.18/7.60 | ~ (ssPv4 @ X1)
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl1105])).
% 49.18/7.60 thf(zip_derived_cl14875, plain, (![X0 : $i]: (ssPv4 @ X0)),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14874, zip_derived_cl14147])).
% 49.18/7.60 thf(zip_derived_cl14875, plain, (![X0 : $i]: (ssPv4 @ X0)),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14874, zip_derived_cl14147])).
% 49.18/7.60 thf(zip_derived_cl15122, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.60 (~ (ssRr @ X2 @ X3)
% 49.18/7.60 | ~ (ssRr @ (skf1 @ X0) @ X2)
% 49.18/7.60 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('demod', [status(thm)],
% 49.18/7.60 [zip_derived_cl1115, zip_derived_cl14875, zip_derived_cl14875])).
% 49.18/7.60 thf(zip_derived_cl15123, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 (~ (ssRr @ X1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X2))
% 49.18/7.60 | ~ (ssRr @ (skf1 @ X2) @ X1)
% 49.18/7.60 | ~ (ssPv2 @ X2)
% 49.18/7.60 | (ssPv1 @ X2)
% 49.18/7.60 | (ssPv1 @ (skf1 @ X2))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X2)))),
% 49.18/7.60 inference('condensation', [status(thm)], [zip_derived_cl15122])).
% 49.18/7.60 thf(zip_derived_cl5842, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl5685, zip_derived_cl1918])).
% 49.18/7.60 thf(zip_derived_cl770, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl765])).
% 49.18/7.60 thf(zip_derived_cl5852, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl5842, zip_derived_cl770])).
% 49.18/7.60 thf(zip_derived_cl5864, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ X0)
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl5852])).
% 49.18/7.60 thf(zip_derived_cl14163, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14124, zip_derived_cl12386])).
% 49.18/7.60 thf(zip_derived_cl14179, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl5864, zip_derived_cl14163])).
% 49.18/7.60 thf(zip_derived_cl14182, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ X0)
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl14179])).
% 49.18/7.60 thf(zip_derived_cl15124, plain,
% 49.18/7.60 (![X1 : $i, X2 : $i]:
% 49.18/7.60 ( (ssPv2 @ (skf1 @ X2))
% 49.18/7.60 | (ssPv1 @ (skf1 @ X2))
% 49.18/7.60 | (ssPv1 @ X2)
% 49.18/7.60 | ~ (ssPv2 @ X2)
% 49.18/7.60 | ~ (ssRr @ (skf1 @ X2) @ X1)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X2)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15123, zip_derived_cl14182])).
% 49.18/7.60 thf(zip_derived_cl377, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl376])).
% 49.18/7.60 thf(zip_derived_cl14875, plain, (![X0 : $i]: (ssPv4 @ X0)),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14874, zip_derived_cl14147])).
% 49.18/7.60 thf(zip_derived_cl14912, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('demod', [status(thm)],
% 49.18/7.60 [zip_derived_cl377, zip_derived_cl14875])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(clause21, conjecture,
% 49.18/7.60 (~( ( ssPv2 @ Y ) | ( ssPv4 @ V ) | ( ~( ssPv3 @ W ) ) |
% 49.18/7.60 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 49.18/7.60 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 49.18/7.60 thf(zf_stmt_37, negated_conjecture,
% 49.18/7.60 (( ssPv2 @ Y ) | ( ssPv4 @ V ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv2 @ W ) ) |
% 49.18/7.60 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 49.18/7.60 ( ~( ssRr @ U @ V ) )),
% 49.18/7.60 inference('cnf.neg', [status(esa)], [clause21])).
% 49.18/7.60 thf(zip_derived_cl20, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | (ssPv4 @ X1)
% 49.18/7.60 | ~ (ssPv3 @ X2)
% 49.18/7.60 | ~ (ssPv2 @ X2)
% 49.18/7.60 | ~ (ssRr @ X2 @ X3)
% 49.18/7.60 | ~ (ssRr @ X3 @ X0)
% 49.18/7.60 | ~ (ssRr @ X2 @ X4)
% 49.18/7.60 | ~ (ssRr @ X4 @ X1))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_37])).
% 49.18/7.60 thf(zip_derived_cl409, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.60 (~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X0 @ X3)
% 49.18/7.60 | ~ (ssPv2 @ X1)
% 49.18/7.60 | ~ (ssPv3 @ X1)
% 49.18/7.60 | (ssPv4 @ X2)
% 49.18/7.60 | (ssPv2 @ X3))),
% 49.18/7.60 inference('eq_fact', [status(thm)], [zip_derived_cl20])).
% 49.18/7.60 thf(zip_derived_cl669, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X2)
% 49.18/7.60 | ~ (ssPv2 @ X2)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X2 @ X1))),
% 49.18/7.60 inference('eq_fact', [status(thm)], [zip_derived_cl409])).
% 49.18/7.60 thf(zip_derived_cl672, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ X1)
% 49.18/7.60 | ~ (ssPv2 @ X1)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl669])).
% 49.18/7.60 thf(zip_derived_cl674, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl672])).
% 49.18/7.60 thf(zip_derived_cl2514, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl2513, zip_derived_cl1571])).
% 49.18/7.60 thf(zip_derived_cl2521, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl674, zip_derived_cl2514])).
% 49.18/7.60 thf(zip_derived_cl2523, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl2521])).
% 49.18/7.60 thf(zip_derived_cl770, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl765])).
% 49.18/7.60 thf(zip_derived_cl2537, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl2523, zip_derived_cl770])).
% 49.18/7.60 thf(zip_derived_cl2542, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl2537])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl674, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl672])).
% 49.18/7.60 thf(zip_derived_cl109, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X1)
% 49.18/7.60 | (ssPv1 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 49.18/7.60 thf(zip_derived_cl676, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ X1)
% 49.18/7.60 | (ssPv1 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl674, zip_derived_cl109])).
% 49.18/7.60 thf(zip_derived_cl890, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv1 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl676])).
% 49.18/7.60 thf(zip_derived_cl891, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl890])).
% 49.18/7.60 thf(zip_derived_cl770, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl765])).
% 49.18/7.60 thf(zip_derived_cl897, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl891, zip_derived_cl770])).
% 49.18/7.60 thf(zip_derived_cl899, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl897])).
% 49.18/7.60 thf(zip_derived_cl2581, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl2542, zip_derived_cl899])).
% 49.18/7.60 thf(zip_derived_cl14192, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ X0) | ~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14191])).
% 49.18/7.60 thf(zip_derived_cl14206, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl2581, zip_derived_cl14192])).
% 49.18/7.60 thf(zip_derived_cl14212, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv1 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl14206])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl28, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.18/7.60 (~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X1)
% 49.18/7.60 | ~ (ssRr @ X0 @ X1)
% 49.18/7.60 | ~ (ssPv4 @ X2)
% 49.18/7.60 | ~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssRr @ X0 @ X3)
% 49.18/7.60 | ~ (ssPv3 @ X4)
% 49.18/7.60 | ~ (ssRr @ X3 @ X4))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_12])).
% 49.18/7.60 thf(zip_derived_cl61, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.18/7.60 (~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssPv3 @ X2)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X1 @ X3)
% 49.18/7.60 | ~ (ssPv4 @ X3)
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X1))),
% 49.18/7.60 inference('eq_fact', [status(thm)], [zip_derived_cl28])).
% 49.18/7.60 thf(zip_derived_cl89, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X1 @ X2)
% 49.18/7.60 | ~ (ssPv4 @ X2)
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl61])).
% 49.18/7.60 thf(zip_derived_cl14875, plain, (![X0 : $i]: (ssPv4 @ X0)),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14874, zip_derived_cl14147])).
% 49.18/7.60 thf(zip_derived_cl14893, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X1 @ X2)
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X1))),
% 49.18/7.60 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl14875])).
% 49.18/7.60 thf(zip_derived_cl15025, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('condensation', [status(thm)], [zip_derived_cl14893])).
% 49.18/7.60 thf(zip_derived_cl15026, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 ( (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl14212, zip_derived_cl15025])).
% 49.18/7.60 thf(zip_derived_cl15029, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv1 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15026])).
% 49.18/7.60 thf(zip_derived_cl15045, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv1 @ X0) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl15031, zip_derived_cl14192])).
% 49.18/7.60 thf(zip_derived_cl15080, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 ( (ssPv1 @ X0) | ~ (ssPv3 @ X0) | ~ (ssPv1 @ X1) | ~ (ssRr @ X1 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15029, zip_derived_cl15045])).
% 49.18/7.60 thf(zip_derived_cl15081, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl15080])).
% 49.18/7.60 thf(zip_derived_cl11195, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ X0) | (ssPv4 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl11170])).
% 49.18/7.60 thf(zip_derived_cl12251, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0)) | (ssPv2 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl11812, zip_derived_cl11833])).
% 49.18/7.60 thf(zip_derived_cl13000, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl12997, zip_derived_cl11057])).
% 49.18/7.60 thf(zip_derived_cl13022, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl12251, zip_derived_cl13000])).
% 49.18/7.60 thf(zip_derived_cl13034, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl13022])).
% 49.18/7.60 thf(zip_derived_cl13060, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv4 @ X0)
% 49.18/7.60 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl11195, zip_derived_cl13034])).
% 49.18/7.60 thf(zip_derived_cl13075, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv4 @ X0) | ~ (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl13060])).
% 49.18/7.60 thf(zip_derived_cl4513, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl4512, zip_derived_cl1273])).
% 49.18/7.60 thf(zip_derived_cl13210, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl13075, zip_derived_cl4513])).
% 49.18/7.60 thf(zip_derived_cl13218, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl13210])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl11937, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv4 @ X0) | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl11810, zip_derived_cl11195])).
% 49.18/7.60 thf(zip_derived_cl54, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ X1)
% 49.18/7.60 | (ssPv3 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl52])).
% 49.18/7.60 thf(zip_derived_cl11938, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 ( (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ X1)
% 49.18/7.60 | (ssPv3 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl11937, zip_derived_cl54])).
% 49.18/7.60 thf(zip_derived_cl11957, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 ( (ssPv3 @ X1)
% 49.18/7.60 | ~ (ssPv4 @ X1)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv4 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl11938])).
% 49.18/7.60 thf(zip_derived_cl12189, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl11957])).
% 49.18/7.60 thf(zip_derived_cl4513, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl4512, zip_derived_cl1273])).
% 49.18/7.60 thf(zip_derived_cl12665, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv4 @ X0)
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl12189, zip_derived_cl4513])).
% 49.18/7.60 thf(zip_derived_cl12674, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl12665])).
% 49.18/7.60 thf(zip_derived_cl13219, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv1 @ (skf1 @ X0)) | (ssPv3 @ X0) | ~ (ssPv1 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl13218, zip_derived_cl12674])).
% 49.18/7.60 thf(zip_derived_cl15087, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl15081, zip_derived_cl13219])).
% 49.18/7.60 thf(zip_derived_cl15098, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15087])).
% 49.18/7.60 thf(zip_derived_cl15104, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl14912, zip_derived_cl15098])).
% 49.18/7.60 thf(zip_derived_cl15106, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15104])).
% 49.18/7.60 thf(zip_derived_cl12350, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv3 @ X0) | (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl12330])).
% 49.18/7.60 thf(zip_derived_cl15108, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15106, zip_derived_cl12350])).
% 49.18/7.60 thf(zip_derived_cl15125, plain,
% 49.18/7.60 (![X1 : $i, X2 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ X2))
% 49.18/7.60 | ~ (ssRr @ (skf1 @ X2) @ X1)
% 49.18/7.60 | ~ (ssPv2 @ X2)
% 49.18/7.60 | (ssPv1 @ X2)
% 49.18/7.60 | (ssPv2 @ (skf1 @ X2)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15124, zip_derived_cl15108])).
% 49.18/7.60 thf(zip_derived_cl14182, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ X0)
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl14179])).
% 49.18/7.60 thf(zip_derived_cl15126, plain,
% 49.18/7.60 (![X2 : $i]:
% 49.18/7.60 ( (ssPv2 @ (skf1 @ X2))
% 49.18/7.60 | (ssPv1 @ X2)
% 49.18/7.60 | ~ (ssPv2 @ X2)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X2)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15125, zip_derived_cl14182])).
% 49.18/7.60 thf(zip_derived_cl15031, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv3 @ (skf1 @ (skf1 @ X0))) | (ssPv2 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14943, zip_derived_cl14720])).
% 49.18/7.60 thf(zip_derived_cl14163, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14124, zip_derived_cl12386])).
% 49.18/7.60 thf(zip_derived_cl15038, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl15031, zip_derived_cl14163])).
% 49.18/7.60 thf(zip_derived_cl15127, plain,
% 49.18/7.60 (![X2 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ X2)) | (ssPv1 @ X2) | (ssPv2 @ (skf1 @ X2)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15126, zip_derived_cl15038])).
% 49.18/7.60 thf(zip_derived_cl14192, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ X0) | ~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14191])).
% 49.18/7.60 thf(zip_derived_cl377, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl376])).
% 49.18/7.60 thf(zip_derived_cl14194, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup+', [status(thm)],
% 49.18/7.60 [zip_derived_cl14192, zip_derived_cl377])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl14255, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14148, zip_derived_cl14147])).
% 49.18/7.60 thf(zip_derived_cl109, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X1)
% 49.18/7.60 | (ssPv1 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 49.18/7.60 thf(zip_derived_cl14256, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X1)
% 49.18/7.60 | (ssPv1 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl14255, zip_derived_cl109])).
% 49.18/7.60 thf(zip_derived_cl14311, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv1 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14256])).
% 49.18/7.60 thf(zip_derived_cl14643, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv4 @ X0)
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14194, zip_derived_cl14311])).
% 49.18/7.60 thf(zip_derived_cl14147, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl14137])).
% 49.18/7.60 thf(zip_derived_cl14644, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv1 @ X0) | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14643, zip_derived_cl14147])).
% 49.18/7.60 thf(zip_derived_cl15131, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv1 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl15127, zip_derived_cl14644])).
% 49.18/7.60 thf(zip_derived_cl15139, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv3 @ (skf1 @ X0)) | (ssPv1 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15131])).
% 49.18/7.60 thf(zip_derived_cl1679, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv2 @ X0)
% 49.18/7.60 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1676])).
% 49.18/7.60 thf(zip_derived_cl14311, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv1 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14256])).
% 49.18/7.60 thf(zip_derived_cl14329, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl1679, zip_derived_cl14311])).
% 49.18/7.60 thf(zip_derived_cl14336, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl14329])).
% 49.18/7.60 thf(zip_derived_cl14163, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14124, zip_derived_cl12386])).
% 49.18/7.60 thf(zip_derived_cl14346, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14336, zip_derived_cl14163])).
% 49.18/7.60 thf(zip_derived_cl15169, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl15139, zip_derived_cl14346])).
% 49.18/7.60 thf(zip_derived_cl15175, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv3 @ (skf1 @ X0)) | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15169])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl14255, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv4 @ (skf1 @ X0)) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14148, zip_derived_cl14147])).
% 49.18/7.60 thf(zip_derived_cl4304, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv4 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X2 @ X1)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ X0 @ X2))),
% 49.18/7.60 inference('clc', [status(thm)], [zip_derived_cl1525, zip_derived_cl1892])).
% 49.18/7.60 thf(zip_derived_cl14261, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 (~ (ssPv3 @ X0)
% 49.18/7.60 | (ssPv2 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssRr @ X2 @ X1)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ X0 @ X2))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl14255, zip_derived_cl4304])).
% 49.18/7.60 thf(zip_derived_cl12350, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv3 @ X0) | (ssPv2 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl12330])).
% 49.18/7.60 thf(zip_derived_cl14454, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.18/7.60 (~ (ssRr @ X0 @ X2)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ X2 @ X1)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14261, zip_derived_cl12350])).
% 49.18/7.60 thf(zip_derived_cl14455, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14454])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl14511, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ X0) | ~ (ssPv1 @ X0) | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup+', [status(thm)], [zip_derived_cl14455, zip_derived_cl0])).
% 49.18/7.60 thf(zip_derived_cl15185, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ (skf1 @ X0))) | (ssPv2 @ X0) | ~ (ssPv1 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl15175, zip_derived_cl14511])).
% 49.18/7.60 thf(zip_derived_cl15031, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv3 @ (skf1 @ (skf1 @ X0))) | (ssPv2 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14943, zip_derived_cl14720])).
% 49.18/7.60 thf(zip_derived_cl15189, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15185, zip_derived_cl15031])).
% 49.18/7.60 thf(zip_derived_cl15193, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv2 @ X0) | (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl15045, zip_derived_cl15189])).
% 49.18/7.60 thf(zip_derived_cl15196, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15193])).
% 49.18/7.60 thf(zip_derived_cl842, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl837])).
% 49.18/7.60 thf(zip_derived_cl15203, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl15196, zip_derived_cl842])).
% 49.18/7.60 thf(zip_derived_cl15209, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ X0) | (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15203])).
% 49.18/7.60 thf(zip_derived_cl15196, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15193])).
% 49.18/7.60 thf(zip_derived_cl14644, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv1 @ X0) | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14643, zip_derived_cl14147])).
% 49.18/7.60 thf(zip_derived_cl15201, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv3 @ X0) | (ssPv1 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl15196, zip_derived_cl14644])).
% 49.18/7.60 thf(zip_derived_cl15139, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv3 @ (skf1 @ X0)) | (ssPv1 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15131])).
% 49.18/7.60 thf(zip_derived_cl15218, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15201, zip_derived_cl15139])).
% 49.18/7.60 thf(zip_derived_cl15313, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv3 @ (skf1 @ (skf1 @ X0))) | (ssPv1 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15209, zip_derived_cl15218])).
% 49.18/7.60 thf(zip_derived_cl15031, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv3 @ (skf1 @ (skf1 @ X0))) | (ssPv2 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14943, zip_derived_cl14720])).
% 49.18/7.60 thf(zip_derived_cl15315, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv2 @ X0))),
% 49.18/7.60 inference('s_sup+', [status(thm)],
% 49.18/7.60 [zip_derived_cl15313, zip_derived_cl15031])).
% 49.18/7.60 thf(zip_derived_cl15189, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15185, zip_derived_cl15031])).
% 49.18/7.60 thf(zip_derived_cl15318, plain, (![X0 : $i]: (ssPv2 @ X0)),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15315, zip_derived_cl15189])).
% 49.18/7.60 thf(zip_derived_cl15339, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv3 @ (skf1 @ (skf1 @ X0))) | (ssPv1 @ X0))),
% 49.18/7.60 inference('demod', [status(thm)],
% 49.18/7.60 [zip_derived_cl14809, zip_derived_cl15318])).
% 49.18/7.60 thf(zip_derived_cl14912, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('demod', [status(thm)],
% 49.18/7.60 [zip_derived_cl377, zip_derived_cl14875])).
% 49.18/7.60 thf(zip_derived_cl15175, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv3 @ (skf1 @ X0)) | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15169])).
% 49.18/7.60 thf(zip_derived_cl1419, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1404])).
% 49.18/7.60 thf(zip_derived_cl15183, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl15175, zip_derived_cl1419])).
% 49.18/7.60 thf(zip_derived_cl15188, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15183])).
% 49.18/7.60 thf(zip_derived_cl15232, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv2 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl14912, zip_derived_cl15188])).
% 49.18/7.60 thf(zip_derived_cl15234, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ X0) | (ssPv3 @ (skf1 @ X0)) | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15232])).
% 49.18/7.60 thf(zip_derived_cl15318, plain, (![X0 : $i]: (ssPv2 @ X0)),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15315, zip_derived_cl15189])).
% 49.18/7.60 thf(zip_derived_cl15343, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('demod', [status(thm)],
% 49.18/7.60 [zip_derived_cl15234, zip_derived_cl15318])).
% 49.18/7.60 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 49.18/7.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.18/7.60 thf(zip_derived_cl714, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv4 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl709])).
% 49.18/7.60 thf(zip_derived_cl14875, plain, (![X0 : $i]: (ssPv4 @ X0)),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl14874, zip_derived_cl14147])).
% 49.18/7.60 thf(zip_derived_cl14926, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv1 @ X0))),
% 49.18/7.60 inference('demod', [status(thm)],
% 49.18/7.60 [zip_derived_cl714, zip_derived_cl14875])).
% 49.18/7.60 thf(zip_derived_cl15234, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ X0) | (ssPv3 @ (skf1 @ X0)) | ~ (ssPv2 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15232])).
% 49.18/7.60 thf(zip_derived_cl15243, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ X0)
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl14926, zip_derived_cl15234])).
% 49.18/7.60 thf(zip_derived_cl15245, plain,
% 49.18/7.60 (![X0 : $i]:
% 49.18/7.60 (~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 49.18/7.60 | ~ (ssPv1 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15243])).
% 49.18/7.60 thf(zip_derived_cl15175, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv3 @ (skf1 @ X0)) | (ssPv1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15169])).
% 49.18/7.60 thf(zip_derived_cl1144, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | (ssPv3 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1143])).
% 49.18/7.60 thf(zip_derived_cl15178, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | (ssPv3 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl15175, zip_derived_cl1144])).
% 49.18/7.60 thf(zip_derived_cl15187, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 ( (ssPv3 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15178])).
% 49.18/7.60 thf(zip_derived_cl15025, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ X1)
% 49.18/7.60 | ~ (ssRr @ X1 @ X0)
% 49.18/7.60 | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('condensation', [status(thm)], [zip_derived_cl14893])).
% 49.18/7.60 thf(zip_derived_cl15258, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssPv3 @ (skf1 @ X0)) | ~ (ssRr @ X1 @ X0) | ~ (ssPv1 @ X1))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15187, zip_derived_cl15025])).
% 49.18/7.60 thf(zip_derived_cl15270, plain,
% 49.18/7.60 (![X0 : $i, X1 : $i]:
% 49.18/7.60 (~ (ssPv1 @ X0)
% 49.18/7.60 | ~ (ssPv1 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 49.18/7.60 | ~ (ssPv1 @ X1))),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl15245, zip_derived_cl15258])).
% 49.18/7.60 thf(zip_derived_cl15278, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv1 @ X0) | ~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv1 @ X0))),
% 49.18/7.60 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl15270])).
% 49.18/7.60 thf(zip_derived_cl15279, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv1 @ X0))),
% 49.18/7.60 inference('simplify', [status(thm)], [zip_derived_cl15278])).
% 49.18/7.60 thf(zip_derived_cl15218, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15201, zip_derived_cl15139])).
% 49.18/7.60 thf(zip_derived_cl15280, plain,
% 49.18/7.60 (![X0 : $i]: (~ (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 49.18/7.60 inference('s_sup+', [status(thm)],
% 49.18/7.60 [zip_derived_cl15279, zip_derived_cl15218])).
% 49.18/7.60 thf(zip_derived_cl15358, plain, (![X0 : $i]: ~ (ssPv1 @ X0)),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15343, zip_derived_cl15280])).
% 49.18/7.60 thf(zip_derived_cl15370, plain,
% 49.18/7.60 (![X0 : $i]: (ssPv3 @ (skf1 @ (skf1 @ X0)))),
% 49.18/7.60 inference('demod', [status(thm)],
% 49.18/7.60 [zip_derived_cl15339, zip_derived_cl15358])).
% 49.18/7.60 thf(zip_derived_cl15358, plain, (![X0 : $i]: ~ (ssPv1 @ X0)),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15343, zip_derived_cl15280])).
% 49.18/7.60 thf(zip_derived_cl15218, plain,
% 49.18/7.60 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv3 @ X0))),
% 49.18/7.60 inference('clc', [status(thm)],
% 49.18/7.60 [zip_derived_cl15201, zip_derived_cl15139])).
% 49.18/7.60 thf(zip_derived_cl15368, plain, (![X0 : $i]: ~ (ssPv3 @ X0)),
% 49.18/7.60 inference('s_sup+', [status(thm)],
% 49.18/7.60 [zip_derived_cl15358, zip_derived_cl15218])).
% 49.18/7.60 thf(zip_derived_cl15371, plain, ($false),
% 49.18/7.60 inference('s_sup-', [status(thm)],
% 49.18/7.60 [zip_derived_cl15370, zip_derived_cl15368])).
% 49.18/7.60
% 49.18/7.60 % SZS output end Refutation
% 49.18/7.60
% 49.18/7.60
% 49.18/7.60 % Terminating...
% 49.18/7.60 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 49.67/7.74 % Runner terminated.
% 49.67/7.75 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------