TSTP Solution File: SYN758-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN758-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qyAO2mynv7 true
% Computer : n009.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 45.31s 7.14s
% Output : Refutation 45.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN758-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qyAO2mynv7 true
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 17:14:50 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 45.31/7.14 % Solved by fo/fo4.sh.
% 45.31/7.14 % done 4468 iterations in 6.304s
% 45.31/7.14 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 45.31/7.14 % SZS output start Refutation
% 45.31/7.14 thf(ssPv3_type, type, ssPv3: $i > $o).
% 45.31/7.14 thf(ssPv1_type, type, ssPv1: $i > $o).
% 45.31/7.14 thf(skf1_type, type, skf1: $i > $i).
% 45.31/7.14 thf(ssRr_type, type, ssRr: $i > $i > $o).
% 45.31/7.14 thf(ssPv4_type, type, ssPv4: $i > $o).
% 45.31/7.14 thf(ssPv2_type, type, ssPv2: $i > $o).
% 45.31/7.14 thf(clause1, conjecture, (~( ssRr @ U @ ( skf1 @ U ) ))).
% 45.31/7.14 thf(zf_stmt_0, negated_conjecture, (ssRr @ U @ ( skf1 @ U )),
% 45.31/7.14 inference('cnf.neg', [status(esa)], [clause1])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(clause31, conjecture,
% 45.31/7.14 (~( ( ssPv4 @ W ) | ( ssPv3 @ Y ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.14 thf(zf_stmt_1, negated_conjecture,
% 45.31/7.14 (( ssPv4 @ W ) | ( ssPv3 @ Y ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.14 ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.14 inference('cnf.neg', [status(esa)], [clause31])).
% 45.31/7.14 thf(zip_derived_cl20, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.14 ( (ssPv4 @ X0)
% 45.31/7.14 | (ssPv3 @ X1)
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | ~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssRr @ X2 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X3)
% 45.31/7.14 | ~ (ssPv1 @ X4)
% 45.31/7.14 | ~ (ssRr @ X3 @ X4))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 45.31/7.14 thf(zip_derived_cl922, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.14 (~ (ssRr @ X2 @ X1)
% 45.31/7.14 | ~ (ssPv1 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssRr @ (skf1 @ X0) @ X3)
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | (ssPv3 @ X3)
% 45.31/7.14 | (ssPv4 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl20])).
% 45.31/7.14 thf(zip_derived_cl1364, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 ( (ssPv4 @ X1)
% 45.31/7.14 | (ssPv3 @ X0)
% 45.31/7.14 | ~ (ssPv1 @ X1)
% 45.31/7.14 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.14 inference('eq_fact', [status(thm)], [zip_derived_cl922])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl1365, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 ( (ssPv4 @ X1)
% 45.31/7.14 | (ssPv3 @ X0)
% 45.31/7.14 | ~ (ssPv1 @ X1)
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.14 inference('demod', [status(thm)], [zip_derived_cl1364, zip_derived_cl50])).
% 45.31/7.14 thf(zip_derived_cl1366, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | (ssPv4 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1365])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(clause19, conjecture,
% 45.31/7.14 (~( ( ~( ssPv4 @ W ) ) | ( ~( ssPv2 @ W ) ) | ( ~( ssPv2 @ X ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) |
% 45.31/7.14 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.14 thf(zf_stmt_2, negated_conjecture,
% 45.31/7.14 (( ~( ssPv4 @ W ) ) | ( ~( ssPv2 @ W ) ) | ( ~( ssPv2 @ X ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) |
% 45.31/7.14 ( ~( ssRr @ U @ V ) )),
% 45.31/7.14 inference('cnf.neg', [status(esa)], [clause19])).
% 45.31/7.14 thf(zip_derived_cl32, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.14 (~ (ssPv4 @ X0)
% 45.31/7.14 | ~ (ssPv2 @ X0)
% 45.31/7.14 | ~ (ssPv2 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssPv2 @ X3)
% 45.31/7.14 | ~ (ssRr @ X2 @ X3))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_2])).
% 45.31/7.14 thf(zip_derived_cl51, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.14 (~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssPv2 @ X2)
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | ~ (ssPv2 @ X0)
% 45.31/7.14 | ~ (ssPv2 @ X1)
% 45.31/7.14 | ~ (ssPv4 @ X1))),
% 45.31/7.14 inference('eq_fact', [status(thm)], [zip_derived_cl32])).
% 45.31/7.14 thf(zip_derived_cl61, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 (~ (ssPv4 @ X1)
% 45.31/7.14 | ~ (ssPv2 @ X1)
% 45.31/7.14 | ~ (ssPv2 @ X0)
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl51])).
% 45.31/7.14 thf(zip_derived_cl62, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.14 | ~ (ssPv2 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl61])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(clause6, conjecture,
% 45.31/7.14 (~( ( ssPv4 @ W ) | ( ssPv1 @ W ) | ( ssPv1 @ X ) | ( ssPv2 @ V ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.14 thf(zf_stmt_3, negated_conjecture,
% 45.31/7.14 (( ssPv4 @ W ) | ( ssPv1 @ W ) | ( ssPv1 @ X ) | ( ssPv2 @ V ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.14 inference('cnf.neg', [status(esa)], [clause6])).
% 45.31/7.14 thf(zip_derived_cl45, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.14 ( (ssPv4 @ X0)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv1 @ X1)
% 45.31/7.14 | (ssPv2 @ X2)
% 45.31/7.14 | ~ (ssRr @ X0 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X3)
% 45.31/7.14 | ~ (ssRr @ X3 @ X2))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 45.31/7.14 thf(zip_derived_cl742, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.14 (~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | (ssPv2 @ X2)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv1 @ X1)
% 45.31/7.14 | (ssPv4 @ X1))),
% 45.31/7.14 inference('eq_fact', [status(thm)], [zip_derived_cl45])).
% 45.31/7.14 thf(zip_derived_cl744, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 ( (ssPv4 @ X1)
% 45.31/7.14 | (ssPv1 @ X1)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.14 | ~ (ssRr @ X1 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl742])).
% 45.31/7.14 thf(zip_derived_cl752, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv4 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl744])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(clause9, conjecture,
% 45.31/7.14 (~( ( ssPv3 @ W ) | ( ssPv1 @ W ) | ( ssPv4 @ X ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) |
% 45.31/7.14 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.14 thf(zf_stmt_4, negated_conjecture,
% 45.31/7.14 (( ssPv3 @ W ) | ( ssPv1 @ W ) | ( ssPv4 @ X ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.14 inference('cnf.neg', [status(esa)], [clause9])).
% 45.31/7.14 thf(zip_derived_cl42, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.14 ( (ssPv3 @ X0)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv4 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssPv2 @ X3)
% 45.31/7.14 | ~ (ssRr @ X2 @ X3))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_4])).
% 45.31/7.14 thf(zip_derived_cl448, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.14 (~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssPv2 @ X2)
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | (ssPv4 @ X0)
% 45.31/7.14 | (ssPv1 @ X1)
% 45.31/7.14 | (ssPv3 @ X1))),
% 45.31/7.14 inference('eq_fact', [status(thm)], [zip_derived_cl42])).
% 45.31/7.14 thf(zip_derived_cl450, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 ( (ssPv3 @ X1)
% 45.31/7.14 | (ssPv1 @ X1)
% 45.31/7.14 | (ssPv4 @ X0)
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl448])).
% 45.31/7.14 thf(zip_derived_cl454, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv3 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl450])).
% 45.31/7.14 thf(zip_derived_cl761, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv4 @ X0)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv3 @ X0)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl752, zip_derived_cl454])).
% 45.31/7.14 thf(zip_derived_cl764, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv3 @ X0)
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv4 @ X0))),
% 45.31/7.14 inference('simplify', [status(thm)], [zip_derived_cl761])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(clause3, conjecture,
% 45.31/7.14 (~( ( ssPv2 @ W ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.14 thf(zf_stmt_5, negated_conjecture,
% 45.31/7.14 (( ssPv2 @ W ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.14 inference('cnf.neg', [status(esa)], [clause3])).
% 45.31/7.14 thf(zip_derived_cl48, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.14 ( (ssPv2 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | ~ (ssRr @ X0 @ X1)
% 45.31/7.14 | ~ (ssPv2 @ X2)
% 45.31/7.14 | ~ (ssRr @ X1 @ X2))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_5])).
% 45.31/7.14 thf(zip_derived_cl60, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 (~ (ssRr @ (skf1 @ X0) @ X1)
% 45.31/7.14 | ~ (ssPv2 @ X1)
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | (ssPv2 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl48])).
% 45.31/7.14 thf(zip_derived_cl63, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv2 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl60])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(clause35, conjecture,
% 45.31/7.14 (~( ( ssPv2 @ Y ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.14 thf(zf_stmt_6, negated_conjecture,
% 45.31/7.14 (( ssPv2 @ Y ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.14 ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.14 inference('cnf.neg', [status(esa)], [clause35])).
% 45.31/7.14 thf(zip_derived_cl16, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.14 ( (ssPv2 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X1)
% 45.31/7.14 | ~ (ssPv1 @ X1)
% 45.31/7.14 | ~ (ssRr @ X1 @ X2)
% 45.31/7.14 | ~ (ssRr @ X2 @ X0)
% 45.31/7.14 | ~ (ssRr @ X1 @ X3)
% 45.31/7.14 | ~ (ssPv4 @ X4)
% 45.31/7.14 | ~ (ssRr @ X3 @ X4))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_6])).
% 45.31/7.14 thf(zip_derived_cl594, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.14 (~ (ssRr @ X2 @ X1)
% 45.31/7.14 | ~ (ssPv4 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssRr @ (skf1 @ X0) @ X3)
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | (ssPv2 @ X3))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl16])).
% 45.31/7.14 thf(zip_derived_cl632, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 ( (ssPv2 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X1)
% 45.31/7.14 | ~ (ssPv1 @ X1)
% 45.31/7.14 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.14 inference('eq_fact', [status(thm)], [zip_derived_cl594])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl633, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 ( (ssPv2 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X1)
% 45.31/7.14 | ~ (ssPv1 @ X1)
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.14 inference('demod', [status(thm)], [zip_derived_cl632, zip_derived_cl50])).
% 45.31/7.14 thf(zip_derived_cl634, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl633])).
% 45.31/7.14 thf(zip_derived_cl643, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 (~ (ssPv1 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | (ssPv2 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.14 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl634])).
% 45.31/7.14 thf(zip_derived_cl644, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | (ssPv2 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | ~ (ssPv1 @ X0))),
% 45.31/7.14 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 45.31/7.14 thf(zip_derived_cl783, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | (ssPv2 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl764, zip_derived_cl644])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(clause16, conjecture,
% 45.31/7.14 (~( ( ssPv2 @ W ) | ( ssPv1 @ X ) | ( ~( ssPv4 @ W ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 45.31/7.14 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.14 thf(zf_stmt_7, negated_conjecture,
% 45.31/7.14 (( ssPv2 @ W ) | ( ssPv1 @ X ) | ( ~( ssPv4 @ W ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 45.31/7.14 ( ~( ssRr @ U @ V ) )),
% 45.31/7.14 inference('cnf.neg', [status(esa)], [clause16])).
% 45.31/7.14 thf(zip_derived_cl35, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.14 ( (ssPv2 @ X0)
% 45.31/7.14 | (ssPv1 @ X1)
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | ~ (ssRr @ X0 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssPv1 @ X3)
% 45.31/7.14 | ~ (ssRr @ X2 @ X3))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_7])).
% 45.31/7.14 thf(zip_derived_cl206, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.14 (~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssPv1 @ X2)
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X1)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv2 @ X1))),
% 45.31/7.14 inference('eq_fact', [status(thm)], [zip_derived_cl35])).
% 45.31/7.14 thf(zip_derived_cl208, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 ( (ssPv2 @ X1)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X1)
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl206])).
% 45.31/7.14 thf(zip_derived_cl210, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl208])).
% 45.31/7.14 thf(zip_derived_cl4939, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv2 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.14 inference('clc', [status(thm)], [zip_derived_cl783, zip_derived_cl210])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(clause4, conjecture,
% 45.31/7.14 (~( ( ssPv4 @ W ) | ( ssPv2 @ W ) | ( ssPv1 @ X ) | ( ssPv3 @ V ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.14 thf(zf_stmt_8, negated_conjecture,
% 45.31/7.14 (( ssPv4 @ W ) | ( ssPv2 @ W ) | ( ssPv1 @ X ) | ( ssPv3 @ V ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.14 inference('cnf.neg', [status(esa)], [clause4])).
% 45.31/7.14 thf(zip_derived_cl47, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.14 ( (ssPv4 @ X0)
% 45.31/7.14 | (ssPv2 @ X0)
% 45.31/7.14 | (ssPv1 @ X1)
% 45.31/7.14 | (ssPv3 @ X2)
% 45.31/7.14 | ~ (ssRr @ X0 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X3)
% 45.31/7.14 | ~ (ssRr @ X3 @ X2))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_8])).
% 45.31/7.14 thf(zip_derived_cl1757, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.14 (~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | (ssPv3 @ X2)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv2 @ X1)
% 45.31/7.14 | (ssPv4 @ X1))),
% 45.31/7.14 inference('eq_fact', [status(thm)], [zip_derived_cl47])).
% 45.31/7.14 thf(zip_derived_cl1761, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 ( (ssPv4 @ X1)
% 45.31/7.14 | (ssPv2 @ X1)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.14 | ~ (ssRr @ X1 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1757])).
% 45.31/7.14 thf(zip_derived_cl1767, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ X0)
% 45.31/7.14 | (ssPv4 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1761])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(clause14, conjecture,
% 45.31/7.14 (~( ( ssPv4 @ W ) | ( ssPv1 @ X ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) |
% 45.31/7.14 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.14 thf(zf_stmt_9, negated_conjecture,
% 45.31/7.14 (( ssPv4 @ W ) | ( ssPv1 @ X ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) |
% 45.31/7.14 ( ~( ssRr @ U @ V ) )),
% 45.31/7.14 inference('cnf.neg', [status(esa)], [clause14])).
% 45.31/7.14 thf(zip_derived_cl37, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.14 ( (ssPv4 @ X0)
% 45.31/7.14 | (ssPv1 @ X1)
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | ~ (ssRr @ X0 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssPv3 @ X3)
% 45.31/7.14 | ~ (ssRr @ X2 @ X3))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_9])).
% 45.31/7.14 thf(zip_derived_cl259, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.14 (~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssPv3 @ X2)
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | ~ (ssPv1 @ X1)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv4 @ X1))),
% 45.31/7.14 inference('eq_fact', [status(thm)], [zip_derived_cl37])).
% 45.31/7.14 thf(zip_derived_cl263, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 ( (ssPv4 @ X1)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | ~ (ssPv1 @ X1)
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl259])).
% 45.31/7.14 thf(zip_derived_cl265, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv4 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl263])).
% 45.31/7.14 thf(zip_derived_cl1795, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv4 @ X0)
% 45.31/7.14 | (ssPv2 @ X0)
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv4 @ X0)
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | ~ (ssPv1 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl1767, zip_derived_cl265])).
% 45.31/7.14 thf(zip_derived_cl1804, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 (~ (ssPv1 @ X0)
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ X0)
% 45.31/7.14 | (ssPv4 @ X0))),
% 45.31/7.14 inference('simplify', [status(thm)], [zip_derived_cl1795])).
% 45.31/7.14 thf(zip_derived_cl4940, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.14 | ~ (ssPv1 @ X0)
% 45.31/7.14 | (ssPv2 @ X0))),
% 45.31/7.14 inference('clc', [status(thm)], [zip_derived_cl4939, zip_derived_cl1804])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(clause38, conjecture,
% 45.31/7.14 (~( ( ssPv1 @ W ) | ( ssPv3 @ Z ) | ( ssPv2 @ Y ) | ( ssPv3 @ V ) |
% 45.31/7.14 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.14 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.14 thf(zf_stmt_10, negated_conjecture,
% 45.31/7.14 (( ssPv1 @ W ) | ( ssPv3 @ Z ) | ( ssPv2 @ Y ) | ( ssPv3 @ V ) |
% 45.31/7.14 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.14 inference('cnf.neg', [status(esa)], [clause38])).
% 45.31/7.14 thf(zip_derived_cl13, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.31/7.14 ( (ssPv1 @ X0)
% 45.31/7.14 | (ssPv3 @ X1)
% 45.31/7.14 | (ssPv2 @ X2)
% 45.31/7.14 | (ssPv3 @ X3)
% 45.31/7.14 | ~ (ssRr @ X0 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X4)
% 45.31/7.14 | ~ (ssRr @ X4 @ X2)
% 45.31/7.14 | ~ (ssRr @ X0 @ X5)
% 45.31/7.14 | ~ (ssRr @ X5 @ X3))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_10])).
% 45.31/7.14 thf(zip_derived_cl683, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.14 (~ (ssRr @ X2 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssRr @ X4 @ X3)
% 45.31/7.14 | ~ (ssRr @ X0 @ X4)
% 45.31/7.14 | (ssPv3 @ X1)
% 45.31/7.14 | (ssPv2 @ X3)
% 45.31/7.14 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl13])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(clause40, conjecture,
% 45.31/7.14 (~( ( ssPv1 @ W ) | ( ssPv3 @ Z ) | ( ssPv2 @ Y ) |
% 45.31/7.14 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.14 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) |
% 45.31/7.14 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.14 thf(zf_stmt_11, negated_conjecture,
% 45.31/7.14 (( ssPv1 @ W ) | ( ssPv3 @ Z ) | ( ssPv2 @ Y ) | ( ~( ssRr @ W @ Z ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.14 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.14 inference('cnf.neg', [status(esa)], [clause40])).
% 45.31/7.14 thf(zip_derived_cl11, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.31/7.14 ( (ssPv1 @ X0)
% 45.31/7.14 | (ssPv3 @ X1)
% 45.31/7.14 | (ssPv2 @ X2)
% 45.31/7.14 | ~ (ssRr @ X0 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X3)
% 45.31/7.14 | ~ (ssRr @ X3 @ X2)
% 45.31/7.14 | ~ (ssRr @ X0 @ X4)
% 45.31/7.14 | ~ (ssPv3 @ X5)
% 45.31/7.14 | ~ (ssRr @ X4 @ X5))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_11])).
% 45.31/7.14 thf(zip_derived_cl560, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.14 (~ (ssRr @ X2 @ X1)
% 45.31/7.14 | ~ (ssPv3 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssRr @ X4 @ X3)
% 45.31/7.14 | ~ (ssRr @ X0 @ X4)
% 45.31/7.14 | (ssPv2 @ X3)
% 45.31/7.14 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl11])).
% 45.31/7.14 thf(zip_derived_cl3070, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.14 ( (ssPv1 @ X0)
% 45.31/7.14 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ X3)
% 45.31/7.14 | ~ (ssRr @ X0 @ X4)
% 45.31/7.14 | ~ (ssRr @ X4 @ X3)
% 45.31/7.14 | ~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssRr @ X2 @ X1))),
% 45.31/7.14 inference('clc', [status(thm)], [zip_derived_cl683, zip_derived_cl560])).
% 45.31/7.14 thf(zip_derived_cl3073, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.14 (~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | ~ (ssRr @ X0 @ X3)
% 45.31/7.14 | (ssPv2 @ X3)
% 45.31/7.14 | (ssPv3 @ (skf1 @ X1))
% 45.31/7.14 | (ssPv1 @ X1))),
% 45.31/7.14 inference('eq_fact', [status(thm)], [zip_derived_cl3070])).
% 45.31/7.14 thf(zip_derived_cl3080, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.14 ( (ssPv1 @ X0)
% 45.31/7.14 | ~ (ssRr @ X0 @ X1)
% 45.31/7.14 | ~ (ssRr @ X1 @ X2)
% 45.31/7.14 | (ssPv2 @ X2)
% 45.31/7.14 | (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.14 inference('condensation', [status(thm)], [zip_derived_cl3073])).
% 45.31/7.14 thf(zip_derived_cl3081, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 ( (ssPv3 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ X1)
% 45.31/7.14 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 45.31/7.14 | (ssPv1 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3080])).
% 45.31/7.14 thf(zip_derived_cl3086, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv1 @ X0)
% 45.31/7.14 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3081])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl1767, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ X0)
% 45.31/7.14 | (ssPv4 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1761])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(clause30, conjecture,
% 45.31/7.14 (~( ( ssPv2 @ W ) | ( ssPv1 @ Y ) | ( ~( ssRr @ W @ Y ) ) |
% 45.31/7.14 ( ~( ssPv2 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.14 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.14 thf(zf_stmt_12, negated_conjecture,
% 45.31/7.14 (( ssPv2 @ W ) | ( ssPv1 @ Y ) | ( ~( ssRr @ W @ Y ) ) |
% 45.31/7.14 ( ~( ssPv2 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.14 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.14 inference('cnf.neg', [status(esa)], [clause30])).
% 45.31/7.14 thf(zip_derived_cl21, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.14 ( (ssPv2 @ X0)
% 45.31/7.14 | (ssPv1 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X1)
% 45.31/7.14 | ~ (ssPv2 @ X2)
% 45.31/7.14 | ~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssRr @ X0 @ X3)
% 45.31/7.14 | ~ (ssPv3 @ X4)
% 45.31/7.14 | ~ (ssRr @ X3 @ X4))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_12])).
% 45.31/7.14 thf(zip_derived_cl981, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.14 (~ (ssRr @ X3 @ X2)
% 45.31/7.14 | ~ (ssPv3 @ X2)
% 45.31/7.14 | ~ (ssRr @ X1 @ X3)
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | ~ (ssPv2 @ X0)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv2 @ X1))),
% 45.31/7.14 inference('eq_fact', [status(thm)], [zip_derived_cl21])).
% 45.31/7.14 thf(zip_derived_cl1052, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.14 ( (ssPv2 @ X1)
% 45.31/7.14 | (ssPv1 @ X2)
% 45.31/7.14 | ~ (ssPv2 @ X2)
% 45.31/7.14 | ~ (ssRr @ X1 @ X2)
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl981])).
% 45.31/7.14 thf(zip_derived_cl1061, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 (~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | ~ (ssPv2 @ X0)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv2 @ X1))),
% 45.31/7.14 inference('eq_fact', [status(thm)], [zip_derived_cl1052])).
% 45.31/7.14 thf(zip_derived_cl1774, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 ( (ssPv4 @ X0)
% 45.31/7.14 | (ssPv2 @ X0)
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ X1)
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.14 | ~ (ssRr @ X1 @ (skf1 @ X0)))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl1767, zip_derived_cl1061])).
% 45.31/7.14 thf(zip_derived_cl1800, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 (~ (ssRr @ X1 @ (skf1 @ X0))
% 45.31/7.14 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ X1)
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ X0)
% 45.31/7.14 | (ssPv4 @ X0))),
% 45.31/7.14 inference('simplify', [status(thm)], [zip_derived_cl1774])).
% 45.31/7.14 thf(zip_derived_cl1883, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv4 @ X0)
% 45.31/7.14 | (ssPv2 @ X0)
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ X0)
% 45.31/7.14 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1800])).
% 45.31/7.14 thf(zip_derived_cl1884, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 (~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ X0)
% 45.31/7.14 | (ssPv4 @ X0))),
% 45.31/7.14 inference('simplify', [status(thm)], [zip_derived_cl1883])).
% 45.31/7.14 thf(zip_derived_cl3091, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv3 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl3086, zip_derived_cl1884])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(clause22, conjecture,
% 45.31/7.14 (~( ( ssPv2 @ W ) | ( ssPv2 @ Y ) | ( ssPv4 @ X ) |
% 45.31/7.14 ( ~( ssRr @ W @ Y ) ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.14 thf(zf_stmt_13, negated_conjecture,
% 45.31/7.14 (( ssPv2 @ W ) | ( ssPv2 @ Y ) | ( ssPv4 @ X ) | ( ~( ssRr @ W @ Y ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 45.31/7.14 ( ~( ssRr @ U @ V ) )),
% 45.31/7.14 inference('cnf.neg', [status(esa)], [clause22])).
% 45.31/7.14 thf(zip_derived_cl29, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.14 ( (ssPv2 @ X0)
% 45.31/7.14 | (ssPv2 @ X1)
% 45.31/7.14 | (ssPv4 @ X2)
% 45.31/7.14 | ~ (ssRr @ X0 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssRr @ X0 @ X3)
% 45.31/7.14 | ~ (ssPv1 @ X4)
% 45.31/7.14 | ~ (ssRr @ X3 @ X4))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_13])).
% 45.31/7.14 thf(zip_derived_cl1462, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.14 (~ (ssRr @ X3 @ X2)
% 45.31/7.14 | ~ (ssPv1 @ X2)
% 45.31/7.14 | ~ (ssRr @ X1 @ X3)
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | (ssPv4 @ X0)
% 45.31/7.14 | (ssPv2 @ X0)
% 45.31/7.14 | (ssPv2 @ X1))),
% 45.31/7.14 inference('eq_fact', [status(thm)], [zip_derived_cl29])).
% 45.31/7.14 thf(zip_derived_cl2163, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.14 ( (ssPv2 @ X1)
% 45.31/7.14 | (ssPv2 @ X2)
% 45.31/7.14 | (ssPv4 @ X2)
% 45.31/7.14 | ~ (ssRr @ X1 @ X2)
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1462])).
% 45.31/7.14 thf(zip_derived_cl2177, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | ~ (ssRr @ X1 @ X0)
% 45.31/7.14 | (ssPv4 @ X0)
% 45.31/7.14 | (ssPv2 @ X0)
% 45.31/7.14 | (ssPv2 @ X1))),
% 45.31/7.14 inference('eq_fact', [status(thm)], [zip_derived_cl2163])).
% 45.31/7.14 thf(zip_derived_cl3970, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ X1)
% 45.31/7.14 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.14 | ~ (ssRr @ X1 @ (skf1 @ X0)))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl3091, zip_derived_cl2177])).
% 45.31/7.14 thf(zip_derived_cl4019, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 (~ (ssRr @ X1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ X1)
% 45.31/7.14 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.14 inference('simplify', [status(thm)], [zip_derived_cl3970])).
% 45.31/7.14 thf(zip_derived_cl4345, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl4019])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl3086, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv1 @ X0)
% 45.31/7.14 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3081])).
% 45.31/7.14 thf(zip_derived_cl454, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv3 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl450])).
% 45.31/7.14 thf(zip_derived_cl3106, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv3 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv3 @ X0)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl3086, zip_derived_cl454])).
% 45.31/7.14 thf(zip_derived_cl3122, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv3 @ X0)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.14 inference('simplify', [status(thm)], [zip_derived_cl3106])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(clause26, conjecture,
% 45.31/7.14 (~( ( ssPv2 @ W ) | ( ssPv1 @ W ) | ( ssPv3 @ Y ) |
% 45.31/7.14 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.31/7.14 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.14 thf(zf_stmt_14, negated_conjecture,
% 45.31/7.14 (( ssPv2 @ W ) | ( ssPv1 @ W ) | ( ssPv3 @ Y ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.14 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) |
% 45.31/7.14 ( ~( ssRr @ U @ V ) )),
% 45.31/7.14 inference('cnf.neg', [status(esa)], [clause26])).
% 45.31/7.14 thf(zip_derived_cl25, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.14 ( (ssPv2 @ X0)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv3 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssRr @ X2 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X3)
% 45.31/7.14 | ~ (ssPv4 @ X4)
% 45.31/7.14 | ~ (ssRr @ X3 @ X4))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_14])).
% 45.31/7.14 thf(zip_derived_cl1229, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.14 (~ (ssRr @ X2 @ X1)
% 45.31/7.14 | ~ (ssPv4 @ X1)
% 45.31/7.14 | ~ (ssRr @ X0 @ X2)
% 45.31/7.14 | ~ (ssRr @ (skf1 @ X0) @ X3)
% 45.31/7.14 | (ssPv3 @ X3)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv2 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl25])).
% 45.31/7.14 thf(zip_derived_cl2346, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 ( (ssPv2 @ X1)
% 45.31/7.14 | (ssPv1 @ X1)
% 45.31/7.14 | (ssPv3 @ X0)
% 45.31/7.14 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.14 inference('eq_fact', [status(thm)], [zip_derived_cl1229])).
% 45.31/7.14 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.14 thf(zip_derived_cl2347, plain,
% 45.31/7.14 (![X0 : $i, X1 : $i]:
% 45.31/7.14 ( (ssPv2 @ X1)
% 45.31/7.14 | (ssPv1 @ X1)
% 45.31/7.14 | (ssPv3 @ X0)
% 45.31/7.14 | ~ (ssPv4 @ X0)
% 45.31/7.14 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.14 inference('demod', [status(thm)], [zip_derived_cl2346, zip_derived_cl50])).
% 45.31/7.14 thf(zip_derived_cl2348, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv2 @ X0))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2347])).
% 45.31/7.14 thf(zip_derived_cl3173, plain,
% 45.31/7.14 (![X0 : $i]:
% 45.31/7.14 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.14 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.14 | (ssPv2 @ X0)
% 45.31/7.14 | (ssPv1 @ X0)
% 45.31/7.14 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.14 inference('sup-', [status(thm)], [zip_derived_cl3122, zip_derived_cl2348])).
% 45.31/7.15 thf(zip_derived_cl3194, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl3173])).
% 45.31/7.15 thf(zip_derived_cl3122, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl3106])).
% 45.31/7.15 thf(zip_derived_cl644, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 45.31/7.15 thf(zip_derived_cl3160, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl3122, zip_derived_cl644])).
% 45.31/7.15 thf(zip_derived_cl1804, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1795])).
% 45.31/7.15 thf(zip_derived_cl3447, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl3160, zip_derived_cl1804])).
% 45.31/7.15 thf(zip_derived_cl3527, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl3194, zip_derived_cl3447])).
% 45.31/7.15 thf(zip_derived_cl1061, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl1052])).
% 45.31/7.15 thf(zip_derived_cl3536, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl3527, zip_derived_cl1061])).
% 45.31/7.15 thf(zip_derived_cl3576, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ X1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl3536])).
% 45.31/7.15 thf(zip_derived_cl3858, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3576])).
% 45.31/7.15 thf(zip_derived_cl3859, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl3858])).
% 45.31/7.15 thf(zip_derived_cl4362, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl4345, zip_derived_cl3859])).
% 45.31/7.15 thf(zip_derived_cl4403, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl4362])).
% 45.31/7.15 thf(zip_derived_cl4941, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl4940, zip_derived_cl4403])).
% 45.31/7.15 thf(zip_derived_cl634, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl633])).
% 45.31/7.15 thf(zip_derived_cl4941, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl4940, zip_derived_cl4403])).
% 45.31/7.15 thf(zip_derived_cl2348, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2347])).
% 45.31/7.15 thf(zip_derived_cl4986, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl4941, zip_derived_cl2348])).
% 45.31/7.15 thf(zip_derived_cl5025, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl4986])).
% 45.31/7.15 thf(zip_derived_cl210, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl208])).
% 45.31/7.15 thf(zip_derived_cl5127, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl5025, zip_derived_cl210])).
% 45.31/7.15 thf(zip_derived_cl5179, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl5127])).
% 45.31/7.15 thf(zip_derived_cl1767, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1761])).
% 45.31/7.15 thf(zip_derived_cl5255, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5179, zip_derived_cl1767])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause48, conjecture,
% 45.31/7.15 (~( ( ~( ssPv4 @ W ) ) | ( ~( ssPv3 @ Z ) ) | ( ~( ssRr @ W @ Z ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssPv2 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_15, negated_conjecture,
% 45.31/7.15 (( ~( ssPv4 @ W ) ) | ( ~( ssPv3 @ Z ) ) | ( ~( ssRr @ W @ Z ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssPv2 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause48])).
% 45.31/7.15 thf(zip_derived_cl3, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssPv2 @ X3)
% 45.31/7.15 | ~ (ssRr @ X2 @ X3)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssPv3 @ X5)
% 45.31/7.15 | ~ (ssRr @ X4 @ X5))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_15])).
% 45.31/7.15 thf(zip_derived_cl144, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 (~ (ssRr @ X3 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X3)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssPv2 @ X4)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl3])).
% 45.31/7.15 thf(zip_derived_cl183, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl144])).
% 45.31/7.15 thf(zip_derived_cl185, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv4 @ X2))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl183])).
% 45.31/7.15 thf(zip_derived_cl187, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl185])).
% 45.31/7.15 thf(zip_derived_cl191, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl187])).
% 45.31/7.15 thf(zip_derived_cl5299, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl5255, zip_derived_cl191])).
% 45.31/7.15 thf(zip_derived_cl63, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl60])).
% 45.31/7.15 thf(zip_derived_cl5404, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5299, zip_derived_cl63])).
% 45.31/7.15 thf(zip_derived_cl5409, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl5404])).
% 45.31/7.15 thf(zip_derived_cl5416, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl5409])).
% 45.31/7.15 thf(zip_derived_cl644, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 45.31/7.15 thf(zip_derived_cl5418, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5416, zip_derived_cl644])).
% 45.31/7.15 thf(zip_derived_cl1804, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1795])).
% 45.31/7.15 thf(zip_derived_cl5419, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5418, zip_derived_cl1804])).
% 45.31/7.15 thf(zip_derived_cl5422, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl4941, zip_derived_cl5419])).
% 45.31/7.15 thf(zip_derived_cl5430, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl5422])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl634, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl633])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause42, conjecture,
% 45.31/7.15 (~( ( ssPv2 @ W ) | ( ssPv1 @ Y ) | ( ~( ssPv2 @ Z ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.15 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_16, negated_conjecture,
% 45.31/7.15 (( ssPv2 @ W ) | ( ssPv1 @ Y ) | ( ~( ssPv2 @ Z ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause42])).
% 45.31/7.15 thf(zip_derived_cl9, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssPv2 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssRr @ X3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssPv3 @ X5)
% 45.31/7.15 | ~ (ssRr @ X4 @ X5))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_16])).
% 45.31/7.15 thf(zip_derived_cl438, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 (~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X4 @ X3)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X3)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl9])).
% 45.31/7.15 thf(zip_derived_cl2098, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 ( (ssPv2 @ X2)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X2))
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl438])).
% 45.31/7.15 thf(zip_derived_cl2100, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X2))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X2))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl2098])).
% 45.31/7.15 thf(zip_derived_cl2101, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv2 @ X1)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2100])).
% 45.31/7.15 thf(zip_derived_cl2107, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X1))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl2101])).
% 45.31/7.15 thf(zip_derived_cl634, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl633])).
% 45.31/7.15 thf(zip_derived_cl62, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl61])).
% 45.31/7.15 thf(zip_derived_cl636, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl62])).
% 45.31/7.15 thf(zip_derived_cl645, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl636])).
% 45.31/7.15 thf(zip_derived_cl644, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 45.31/7.15 thf(zip_derived_cl651, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl645, zip_derived_cl644])).
% 45.31/7.15 thf(zip_derived_cl2212, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl2107, zip_derived_cl651])).
% 45.31/7.15 thf(zip_derived_cl2213, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2212])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause45, conjecture,
% 45.31/7.15 (~( ( ssPv4 @ Y ) | ( ~( ssPv1 @ W ) ) | ( ~( ssPv3 @ Z ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.15 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_17, negated_conjecture,
% 45.31/7.15 (( ssPv4 @ Y ) | ( ~( ssPv1 @ W ) ) | ( ~( ssPv3 @ Z ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause45])).
% 45.31/7.15 thf(zip_derived_cl6, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X3)
% 45.31/7.15 | ~ (ssRr @ X3 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X4)
% 45.31/7.15 | ~ (ssPv1 @ X5)
% 45.31/7.15 | ~ (ssRr @ X4 @ X5))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_17])).
% 45.31/7.15 thf(zip_derived_cl281, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 (~ (ssRr @ X3 @ X2)
% 45.31/7.15 | ~ (ssPv1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X3)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | (ssPv4 @ X4))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl6])).
% 45.31/7.15 thf(zip_derived_cl1137, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl281])).
% 45.31/7.15 thf(zip_derived_cl1140, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X2)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1137])).
% 45.31/7.15 thf(zip_derived_cl1141, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1140])).
% 45.31/7.15 thf(zip_derived_cl1152, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1141])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause18, conjecture,
% 45.31/7.15 (~( ( ssPv3 @ W ) | ( ~( ssPv2 @ W ) ) | ( ~( ssPv4 @ X ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_18, negated_conjecture,
% 45.31/7.15 (( ssPv3 @ W ) | ( ~( ssPv2 @ W ) ) | ( ~( ssPv4 @ X ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause18])).
% 45.31/7.15 thf(zip_derived_cl33, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 ( (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssPv4 @ X3)
% 45.31/7.15 | ~ (ssRr @ X2 @ X3))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_18])).
% 45.31/7.15 thf(zip_derived_cl82, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssPv4 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ X1)
% 45.31/7.15 | (ssPv3 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl33])).
% 45.31/7.15 thf(zip_derived_cl87, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv2 @ X1)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl82])).
% 45.31/7.15 thf(zip_derived_cl91, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl87])).
% 45.31/7.15 thf(zip_derived_cl1165, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl1152, zip_derived_cl91])).
% 45.31/7.15 thf(zip_derived_cl2230, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl2213, zip_derived_cl1165])).
% 45.31/7.15 thf(zip_derived_cl2259, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl2230])).
% 45.31/7.15 thf(zip_derived_cl651, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl645, zip_derived_cl644])).
% 45.31/7.15 thf(zip_derived_cl2450, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl2259, zip_derived_cl651])).
% 45.31/7.15 thf(zip_derived_cl651, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl645, zip_derived_cl644])).
% 45.31/7.15 thf(zip_derived_cl2451, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl2450, zip_derived_cl651])).
% 45.31/7.15 thf(zip_derived_cl651, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl645, zip_derived_cl644])).
% 45.31/7.15 thf(zip_derived_cl2452, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl2451, zip_derived_cl651])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause11, conjecture,
% 45.31/7.15 (~( ( ssPv3 @ X ) | ( ssPv4 @ V ) | ( ~( ssPv4 @ W ) ) |
% 45.31/7.15 ( ~( ssPv1 @ W ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_19, negated_conjecture,
% 45.31/7.15 (( ssPv3 @ X ) | ( ssPv4 @ V ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause11])).
% 45.31/7.15 thf(zip_derived_cl40, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 ( (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ X1)
% 45.31/7.15 | ~ (ssPv4 @ X2)
% 45.31/7.15 | ~ (ssPv1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X2 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X3)
% 45.31/7.15 | ~ (ssRr @ X3 @ X1))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_19])).
% 45.31/7.15 thf(zip_derived_cl398, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssPv4 @ X1)
% 45.31/7.15 | (ssPv4 @ X2)
% 45.31/7.15 | (ssPv3 @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl40])).
% 45.31/7.15 thf(zip_derived_cl400, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl398])).
% 45.31/7.15 thf(zip_derived_cl402, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl400])).
% 45.31/7.15 thf(zip_derived_cl2453, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl2452, zip_derived_cl402])).
% 45.31/7.15 thf(zip_derived_cl634, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl633])).
% 45.31/7.15 thf(zip_derived_cl2455, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup+', [status(thm)], [zip_derived_cl2453, zip_derived_cl634])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause13, conjecture,
% 45.31/7.15 (~( ( ssPv4 @ W ) | ( ssPv3 @ V ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.15 ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_20, negated_conjecture,
% 45.31/7.15 (( ssPv4 @ W ) | ( ssPv3 @ V ) | ( ~( ssPv1 @ W ) ) | ( ~( ssPv1 @ X ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause13])).
% 45.31/7.15 thf(zip_derived_cl38, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssRr @ X3 @ X1))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_20])).
% 45.31/7.15 thf(zip_derived_cl289, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | (ssPv3 @ X2)
% 45.31/7.15 | (ssPv4 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl38])).
% 45.31/7.15 thf(zip_derived_cl291, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv4 @ X1)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl289])).
% 45.31/7.15 thf(zip_derived_cl296, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl291])).
% 45.31/7.15 thf(zip_derived_cl2460, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl2455, zip_derived_cl296])).
% 45.31/7.15 thf(zip_derived_cl4941, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl4940, zip_derived_cl4403])).
% 45.31/7.15 thf(zip_derived_cl5004, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup+', [status(thm)], [zip_derived_cl2460, zip_derived_cl4941])).
% 45.31/7.15 thf(zip_derived_cl5008, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl5004])).
% 45.31/7.15 thf(zip_derived_cl1804, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1795])).
% 45.31/7.15 thf(zip_derived_cl5192, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5008, zip_derived_cl1804])).
% 45.31/7.15 thf(zip_derived_cl5500, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5430, zip_derived_cl5192])).
% 45.31/7.15 thf(zip_derived_cl5025, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl4986])).
% 45.31/7.15 thf(zip_derived_cl5501, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5500, zip_derived_cl5025])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl5501, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5500, zip_derived_cl5025])).
% 45.31/7.15 thf(zip_derived_cl1366, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1365])).
% 45.31/7.15 thf(zip_derived_cl5545, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl5501, zip_derived_cl1366])).
% 45.31/7.15 thf(zip_derived_cl5587, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl5545])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause5, conjecture,
% 45.31/7.15 (~( ( ssPv4 @ W ) | ( ssPv1 @ W ) | ( ssPv2 @ X ) | ( ssPv4 @ V ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_21, negated_conjecture,
% 45.31/7.15 (( ssPv4 @ W ) | ( ssPv1 @ W ) | ( ssPv2 @ X ) | ( ssPv4 @ V ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause5])).
% 45.31/7.15 thf(zip_derived_cl46, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv4 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssRr @ X3 @ X2))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_21])).
% 45.31/7.15 thf(zip_derived_cl1635, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | (ssPv4 @ X2)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ X1)
% 45.31/7.15 | (ssPv4 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl46])).
% 45.31/7.15 thf(zip_derived_cl1637, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv4 @ X1)
% 45.31/7.15 | (ssPv1 @ X1)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1635])).
% 45.31/7.15 thf(zip_derived_cl1643, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1637])).
% 45.31/7.15 thf(zip_derived_cl2348, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2347])).
% 45.31/7.15 thf(zip_derived_cl2351, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl1643, zip_derived_cl2348])).
% 45.31/7.15 thf(zip_derived_cl2352, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl2351])).
% 45.31/7.15 thf(zip_derived_cl5601, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5587, zip_derived_cl2352])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause24, conjecture,
% 45.31/7.15 (~( ( ssPv4 @ W ) | ( ssPv3 @ W ) | ( ssPv4 @ Y ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_22, negated_conjecture,
% 45.31/7.15 (( ssPv4 @ W ) | ( ssPv3 @ W ) | ( ssPv4 @ Y ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.15 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause24])).
% 45.31/7.15 thf(zip_derived_cl27, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssPv3 @ X4)
% 45.31/7.15 | ~ (ssRr @ X3 @ X4))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_22])).
% 45.31/7.15 thf(zip_derived_cl1347, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 (~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X0) @ X3)
% 45.31/7.15 | (ssPv4 @ X3)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl27])).
% 45.31/7.15 thf(zip_derived_cl2477, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv4 @ X1)
% 45.31/7.15 | (ssPv3 @ X1)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl1347])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl2478, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv4 @ X1)
% 45.31/7.15 | (ssPv3 @ X1)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.15 inference('demod', [status(thm)], [zip_derived_cl2477, zip_derived_cl50])).
% 45.31/7.15 thf(zip_derived_cl2479, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2478])).
% 45.31/7.15 thf(zip_derived_cl5653, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl5601, zip_derived_cl2479])).
% 45.31/7.15 thf(zip_derived_cl5672, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl5653])).
% 45.31/7.15 thf(zip_derived_cl5601, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5587, zip_derived_cl2352])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause27, conjecture,
% 45.31/7.15 (~( ( ssPv2 @ W ) | ( ssPv4 @ Y ) | ( ~( ssPv3 @ W ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_23, negated_conjecture,
% 45.31/7.15 (( ssPv2 @ W ) | ( ssPv4 @ Y ) | ( ~( ssPv3 @ W ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.15 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause27])).
% 45.31/7.15 thf(zip_derived_cl24, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssPv3 @ X4)
% 45.31/7.15 | ~ (ssRr @ X3 @ X4))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_23])).
% 45.31/7.15 thf(zip_derived_cl1201, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 (~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X0) @ X3)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ X3)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl24])).
% 45.31/7.15 thf(zip_derived_cl1459, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv2 @ X1)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl1201])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl1460, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv2 @ X1)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.15 inference('demod', [status(thm)], [zip_derived_cl1459, zip_derived_cl50])).
% 45.31/7.15 thf(zip_derived_cl1465, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1460])).
% 45.31/7.15 thf(zip_derived_cl5651, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl5601, zip_derived_cl1465])).
% 45.31/7.15 thf(zip_derived_cl5670, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl5651])).
% 45.31/7.15 thf(zip_derived_cl5804, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5672, zip_derived_cl5670])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause28, conjecture,
% 45.31/7.15 (~( ( ssPv2 @ W ) | ( ssPv2 @ Y ) | ( ~( ssRr @ W @ Y ) ) |
% 45.31/7.15 ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.15 ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_24, negated_conjecture,
% 45.31/7.15 (( ssPv2 @ W ) | ( ssPv2 @ Y ) | ( ~( ssRr @ W @ Y ) ) |
% 45.31/7.15 ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.15 ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause28])).
% 45.31/7.15 thf(zip_derived_cl23, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssPv4 @ X4)
% 45.31/7.15 | ~ (ssRr @ X3 @ X4))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_24])).
% 45.31/7.15 thf(zip_derived_cl1104, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 (~ (ssRr @ X3 @ X2)
% 45.31/7.15 | ~ (ssPv4 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X3)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl23])).
% 45.31/7.15 thf(zip_derived_cl1226, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 ( (ssPv2 @ X1)
% 45.31/7.15 | (ssPv2 @ X2)
% 45.31/7.15 | ~ (ssPv1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1104])).
% 45.31/7.15 thf(zip_derived_cl1242, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl1226])).
% 45.31/7.15 thf(zip_derived_cl5815, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl5804, zip_derived_cl1242])).
% 45.31/7.15 thf(zip_derived_cl5873, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ X1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl5815])).
% 45.31/7.15 thf(zip_derived_cl5902, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl5873])).
% 45.31/7.15 thf(zip_derived_cl5903, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl5902])).
% 45.31/7.15 thf(zip_derived_cl5908, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl5501, zip_derived_cl5903])).
% 45.31/7.15 thf(zip_derived_cl5913, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl5908])).
% 45.31/7.15 thf(zip_derived_cl454, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl450])).
% 45.31/7.15 thf(zip_derived_cl6167, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl5913, zip_derived_cl454])).
% 45.31/7.15 thf(zip_derived_cl6206, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl6167])).
% 45.31/7.15 thf(zip_derived_cl63, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl60])).
% 45.31/7.15 thf(zip_derived_cl5913, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl5908])).
% 45.31/7.15 thf(zip_derived_cl6182, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl5913])).
% 45.31/7.15 thf(zip_derived_cl6188, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl6182])).
% 45.31/7.15 thf(zip_derived_cl5601, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5587, zip_derived_cl2352])).
% 45.31/7.15 thf(zip_derived_cl6211, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl6188, zip_derived_cl5601])).
% 45.31/7.15 thf(zip_derived_cl6557, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl6206, zip_derived_cl6211])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause23, conjecture,
% 45.31/7.15 (~( ( ssPv2 @ Y ) | ( ssPv4 @ X ) | ( ssPv3 @ V ) | ( ~( ssPv3 @ W ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ Y ) ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_25, negated_conjecture,
% 45.31/7.15 (( ssPv2 @ Y ) | ( ssPv4 @ X ) | ( ssPv3 @ V ) | ( ~( ssPv3 @ W ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ Y ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause23])).
% 45.31/7.15 thf(zip_derived_cl28, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X1)
% 45.31/7.15 | (ssPv3 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ X3)
% 45.31/7.15 | ~ (ssRr @ X3 @ X0)
% 45.31/7.15 | ~ (ssRr @ X3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X3 @ X4)
% 45.31/7.15 | ~ (ssRr @ X4 @ X2))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_25])).
% 45.31/7.15 thf(zip_derived_cl1405, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 (~ (ssRr @ X3 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X3)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | (ssPv3 @ X2)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl28])).
% 45.31/7.15 thf(zip_derived_cl2136, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 ( (ssPv2 @ X1)
% 45.31/7.15 | (ssPv4 @ X1)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ X2)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1405])).
% 45.31/7.15 thf(zip_derived_cl2145, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl2136])).
% 45.31/7.15 thf(zip_derived_cl2146, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2145])).
% 45.31/7.15 thf(zip_derived_cl6558, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl6557, zip_derived_cl2146])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl5601, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5587, zip_derived_cl2352])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl752, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl744])).
% 45.31/7.15 thf(zip_derived_cl1884, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1883])).
% 45.31/7.15 thf(zip_derived_cl1886, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl752, zip_derived_cl1884])).
% 45.31/7.15 thf(zip_derived_cl1804, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1795])).
% 45.31/7.15 thf(zip_derived_cl7947, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl1886, zip_derived_cl1804])).
% 45.31/7.15 thf(zip_derived_cl2177, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl2163])).
% 45.31/7.15 thf(zip_derived_cl7965, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl7947, zip_derived_cl2177])).
% 45.31/7.15 thf(zip_derived_cl8034, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ X1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl7965])).
% 45.31/7.15 thf(zip_derived_cl8146, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl8034])).
% 45.31/7.15 thf(zip_derived_cl7947, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl1886, zip_derived_cl1804])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause51, conjecture,
% 45.31/7.15 (~( ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ W @ Z ) ) | ( ~( ssPv1 @ X1 ) ) |
% 45.31/7.15 ( ~( ssRr @ Z @ X1 ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssPv2 @ Y ) ) |
% 45.31/7.15 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_26, negated_conjecture,
% 45.31/7.15 (( ~( ssPv2 @ W ) ) | ( ~( ssRr @ W @ Z ) ) | ( ~( ssPv1 @ X1 ) ) |
% 45.31/7.15 ( ~( ssRr @ Z @ X1 ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssPv2 @ Y ) ) |
% 45.31/7.15 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause51])).
% 45.31/7.15 thf(zip_derived_cl0, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 45.31/7.15 (~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssPv2 @ X4)
% 45.31/7.15 | ~ (ssRr @ X3 @ X4)
% 45.31/7.15 | ~ (ssRr @ X0 @ X5)
% 45.31/7.15 | ~ (ssPv4 @ X6)
% 45.31/7.15 | ~ (ssRr @ X5 @ X6))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_26])).
% 45.31/7.15 thf(zip_derived_cl64, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.31/7.15 (~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv4 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X4 @ X3)
% 45.31/7.15 | ~ (ssPv2 @ X3)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X0) @ X5)
% 45.31/7.15 | ~ (ssPv1 @ X5)
% 45.31/7.15 | ~ (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 45.31/7.15 thf(zip_derived_cl1541, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 (~ (ssPv2 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X1) @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X2)
% 45.31/7.15 | ~ (ssPv4 @ X3)
% 45.31/7.15 | ~ (ssRr @ X2 @ X3))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl64])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl1542, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 (~ (ssPv2 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X1) @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X2)
% 45.31/7.15 | ~ (ssPv4 @ X3)
% 45.31/7.15 | ~ (ssRr @ X2 @ X3))),
% 45.31/7.15 inference('demod', [status(thm)], [zip_derived_cl1541, zip_derived_cl50])).
% 45.31/7.15 thf(zip_derived_cl1545, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ (skf1 @ X1) @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl1542])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl1546, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ (skf1 @ X1) @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ X1))),
% 45.31/7.15 inference('demod', [status(thm)], [zip_derived_cl1545, zip_derived_cl50])).
% 45.31/7.15 thf(zip_derived_cl1547, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1546])).
% 45.31/7.15 thf(zip_derived_cl8002, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl7947, zip_derived_cl1547])).
% 45.31/7.15 thf(zip_derived_cl1643, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1637])).
% 45.31/7.15 thf(zip_derived_cl8131, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8002, zip_derived_cl1643])).
% 45.31/7.15 thf(zip_derived_cl7947, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl1886, zip_derived_cl1804])).
% 45.31/7.15 thf(zip_derived_cl5903, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl5902])).
% 45.31/7.15 thf(zip_derived_cl7973, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl7947, zip_derived_cl5903])).
% 45.31/7.15 thf(zip_derived_cl8037, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl7973])).
% 45.31/7.15 thf(zip_derived_cl8132, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8131, zip_derived_cl8037])).
% 45.31/7.15 thf(zip_derived_cl8147, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8146, zip_derived_cl8132])).
% 45.31/7.15 thf(zip_derived_cl2101, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv2 @ X1)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2100])).
% 45.31/7.15 thf(zip_derived_cl8169, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X1))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl8147, zip_derived_cl2101])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause29, conjecture,
% 45.31/7.15 (~( ( ssPv4 @ W ) | ( ssPv1 @ Y ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_27, negated_conjecture,
% 45.31/7.15 (( ssPv4 @ W ) | ( ssPv1 @ Y ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.15 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause29])).
% 45.31/7.15 thf(zip_derived_cl22, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssPv3 @ X4)
% 45.31/7.15 | ~ (ssRr @ X3 @ X4))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_27])).
% 45.31/7.15 thf(zip_derived_cl1047, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 (~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | (ssPv1 @ X3)
% 45.31/7.15 | (ssPv4 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl22])).
% 45.31/7.15 thf(zip_derived_cl1111, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 ( (ssPv4 @ X2)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl1047])).
% 45.31/7.15 thf(zip_derived_cl1116, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ X1))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1111])).
% 45.31/7.15 thf(zip_derived_cl8865, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X1))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8169, zip_derived_cl1116])).
% 45.31/7.15 thf(zip_derived_cl8866, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl8865])).
% 45.31/7.15 thf(zip_derived_cl8870, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl5601, zip_derived_cl8866])).
% 45.31/7.15 thf(zip_derived_cl8877, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl8870])).
% 45.31/7.15 thf(zip_derived_cl2177, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl2163])).
% 45.31/7.15 thf(zip_derived_cl8906, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl8877, zip_derived_cl2177])).
% 45.31/7.15 thf(zip_derived_cl8980, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ X1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl8906])).
% 45.31/7.15 thf(zip_derived_cl9086, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl8980])).
% 45.31/7.15 thf(zip_derived_cl9087, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl9086])).
% 45.31/7.15 thf(zip_derived_cl454, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl450])).
% 45.31/7.15 thf(zip_derived_cl9114, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl9087, zip_derived_cl454])).
% 45.31/7.15 thf(zip_derived_cl9152, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl9114])).
% 45.31/7.15 thf(zip_derived_cl2348, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2347])).
% 45.31/7.15 thf(zip_derived_cl9740, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl9152, zip_derived_cl2348])).
% 45.31/7.15 thf(zip_derived_cl9776, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl9740])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause8, conjecture,
% 45.31/7.15 (~( ( ssPv3 @ W ) | ( ssPv1 @ W ) | ( ssPv4 @ X ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_28, negated_conjecture,
% 45.31/7.15 (( ssPv3 @ W ) | ( ssPv1 @ W ) | ( ssPv4 @ X ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause8])).
% 45.31/7.15 thf(zip_derived_cl43, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 ( (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ X3)
% 45.31/7.15 | ~ (ssRr @ X2 @ X3))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_28])).
% 45.31/7.15 thf(zip_derived_cl514, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ X1)
% 45.31/7.15 | (ssPv3 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl43])).
% 45.31/7.15 thf(zip_derived_cl516, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv3 @ X1)
% 45.31/7.15 | (ssPv1 @ X1)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl514])).
% 45.31/7.15 thf(zip_derived_cl518, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl516])).
% 45.31/7.15 thf(zip_derived_cl11921, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl9776, zip_derived_cl518])).
% 45.31/7.15 thf(zip_derived_cl9087, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl9086])).
% 45.31/7.15 thf(zip_derived_cl63, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl60])).
% 45.31/7.15 thf(zip_derived_cl9111, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl9087, zip_derived_cl63])).
% 45.31/7.15 thf(zip_derived_cl644, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 45.31/7.15 thf(zip_derived_cl9171, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl9111, zip_derived_cl644])).
% 45.31/7.15 thf(zip_derived_cl9087, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl9086])).
% 45.31/7.15 thf(zip_derived_cl9172, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl9171, zip_derived_cl9087])).
% 45.31/7.15 thf(zip_derived_cl11922, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl11921, zip_derived_cl9172])).
% 45.31/7.15 thf(zip_derived_cl2101, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv2 @ X1)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2100])).
% 45.31/7.15 thf(zip_derived_cl11945, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X1))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl11922, zip_derived_cl2101])).
% 45.31/7.15 thf(zip_derived_cl11994, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X1))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl11945])).
% 45.31/7.15 thf(zip_derived_cl12183, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl11994])).
% 45.31/7.15 thf(zip_derived_cl12227, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl6558, zip_derived_cl12183])).
% 45.31/7.15 thf(zip_derived_cl12239, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl12227])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause7, conjecture,
% 45.31/7.15 (~( ( ssPv2 @ W ) | ( ssPv2 @ X ) | ( ssPv1 @ V ) | ( ~( ssPv3 @ W ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_29, negated_conjecture,
% 45.31/7.15 (( ssPv2 @ W ) | ( ssPv2 @ X ) | ( ssPv1 @ V ) | ( ~( ssPv3 @ W ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause7])).
% 45.31/7.15 thf(zip_derived_cl44, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv1 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssRr @ X3 @ X2))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_29])).
% 45.31/7.15 thf(zip_derived_cl576, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | (ssPv1 @ X2)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl44])).
% 45.31/7.15 thf(zip_derived_cl578, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv2 @ X1)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl576])).
% 45.31/7.15 thf(zip_derived_cl586, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl578])).
% 45.31/7.15 thf(zip_derived_cl12274, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl12239, zip_derived_cl586])).
% 45.31/7.15 thf(zip_derived_cl210, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl208])).
% 45.31/7.15 thf(zip_derived_cl12324, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl12274, zip_derived_cl210])).
% 45.31/7.15 thf(zip_derived_cl12390, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl12324])).
% 45.31/7.15 thf(zip_derived_cl9087, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl9086])).
% 45.31/7.15 thf(zip_derived_cl12405, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl12390, zip_derived_cl9087])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl8147, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8146, zip_derived_cl8132])).
% 45.31/7.15 thf(zip_derived_cl1884, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1883])).
% 45.31/7.15 thf(zip_derived_cl8153, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl8147, zip_derived_cl1884])).
% 45.31/7.15 thf(zip_derived_cl8203, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl8153])).
% 45.31/7.15 thf(zip_derived_cl1804, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1795])).
% 45.31/7.15 thf(zip_derived_cl8239, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8203, zip_derived_cl1804])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl23, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssPv4 @ X4)
% 45.31/7.15 | ~ (ssRr @ X3 @ X4))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_24])).
% 45.31/7.15 thf(zip_derived_cl1103, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 (~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv4 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssPv1 @ X3)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl23])).
% 45.31/7.15 thf(zip_derived_cl1523, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 ( (ssPv2 @ X1)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssPv1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1103])).
% 45.31/7.15 thf(zip_derived_cl1533, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X1))
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl1523])).
% 45.31/7.15 thf(zip_derived_cl8257, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl8239, zip_derived_cl1533])).
% 45.31/7.15 thf(zip_derived_cl2177, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl2163])).
% 45.31/7.15 thf(zip_derived_cl8850, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X1))
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8257, zip_derived_cl2177])).
% 45.31/7.15 thf(zip_derived_cl8851, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl8850])).
% 45.31/7.15 thf(zip_derived_cl8852, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl8851])).
% 45.31/7.15 thf(zip_derived_cl12406, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0)) | (ssPv2 @ X0) | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl12405, zip_derived_cl8852])).
% 45.31/7.15 thf(zip_derived_cl5501, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5500, zip_derived_cl5025])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl11922, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl11921, zip_derived_cl9172])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause41, conjecture,
% 45.31/7.15 (~( ( ssPv3 @ W ) | ( ssPv3 @ Z ) | ( ssPv4 @ Y ) |
% 45.31/7.15 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.15 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_30, negated_conjecture,
% 45.31/7.15 (( ssPv3 @ W ) | ( ssPv3 @ Z ) | ( ssPv4 @ Y ) | ( ~( ssRr @ W @ Z ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.15 ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause41])).
% 45.31/7.15 thf(zip_derived_cl10, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.31/7.15 ( (ssPv3 @ X0)
% 45.31/7.15 | (ssPv3 @ X1)
% 45.31/7.15 | (ssPv4 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssRr @ X3 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssPv2 @ X5)
% 45.31/7.15 | ~ (ssRr @ X4 @ X5))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_30])).
% 45.31/7.15 thf(zip_derived_cl500, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 (~ (ssRr @ X3 @ X2)
% 45.31/7.15 | ~ (ssPv2 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X3)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | (ssPv4 @ X4)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv3 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl10])).
% 45.31/7.15 thf(zip_derived_cl2697, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 ( (ssPv3 @ X2)
% 45.31/7.15 | (ssPv3 @ X1)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv2 @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl500])).
% 45.31/7.15 thf(zip_derived_cl2699, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv3 @ X1)
% 45.31/7.15 | (ssPv3 @ X2))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl2697])).
% 45.31/7.15 thf(zip_derived_cl2700, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv3 @ X1)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2699])).
% 45.31/7.15 thf(zip_derived_cl2706, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2700])).
% 45.31/7.15 thf(zip_derived_cl11957, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl11922, zip_derived_cl2706])).
% 45.31/7.15 thf(zip_derived_cl11997, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl11957])).
% 45.31/7.15 thf(zip_derived_cl1242, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl1226])).
% 45.31/7.15 thf(zip_derived_cl12023, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl11997, zip_derived_cl1242])).
% 45.31/7.15 thf(zip_derived_cl12087, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ X1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl12023])).
% 45.31/7.15 thf(zip_derived_cl12201, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl12087])).
% 45.31/7.15 thf(zip_derived_cl12205, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl5501, zip_derived_cl12201])).
% 45.31/7.15 thf(zip_derived_cl12216, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl12205])).
% 45.31/7.15 thf(zip_derived_cl5501, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5500, zip_derived_cl5025])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl8147, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8146, zip_derived_cl8132])).
% 45.31/7.15 thf(zip_derived_cl454, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl450])).
% 45.31/7.15 thf(zip_derived_cl8174, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl8147, zip_derived_cl454])).
% 45.31/7.15 thf(zip_derived_cl8208, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl8174])).
% 45.31/7.15 thf(zip_derived_cl2348, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2347])).
% 45.31/7.15 thf(zip_derived_cl8478, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl8208, zip_derived_cl2348])).
% 45.31/7.15 thf(zip_derived_cl8509, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl8478])).
% 45.31/7.15 thf(zip_derived_cl518, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl516])).
% 45.31/7.15 thf(zip_derived_cl11071, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8509, zip_derived_cl518])).
% 45.31/7.15 thf(zip_derived_cl8147, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8146, zip_derived_cl8132])).
% 45.31/7.15 thf(zip_derived_cl63, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl60])).
% 45.31/7.15 thf(zip_derived_cl8171, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl8147, zip_derived_cl63])).
% 45.31/7.15 thf(zip_derived_cl644, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 45.31/7.15 thf(zip_derived_cl8392, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8171, zip_derived_cl644])).
% 45.31/7.15 thf(zip_derived_cl1804, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1795])).
% 45.31/7.15 thf(zip_derived_cl8393, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8392, zip_derived_cl1804])).
% 45.31/7.15 thf(zip_derived_cl11072, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl11071, zip_derived_cl8393])).
% 45.31/7.15 thf(zip_derived_cl1242, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl1226])).
% 45.31/7.15 thf(zip_derived_cl11089, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl11072, zip_derived_cl1242])).
% 45.31/7.15 thf(zip_derived_cl11153, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl11089])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause21, conjecture,
% 45.31/7.15 (~( ( ssPv2 @ W ) | ( ssPv3 @ Y ) | ( ssPv1 @ V ) |
% 45.31/7.15 ( ~( ssRr @ W @ Y ) ) | ( ~( ssPv2 @ X ) ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_31, negated_conjecture,
% 45.31/7.15 (( ssPv2 @ W ) | ( ssPv3 @ Y ) | ( ssPv1 @ V ) | ( ~( ssRr @ W @ Y ) ) |
% 45.31/7.15 ( ~( ssPv2 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause21])).
% 45.31/7.15 thf(zip_derived_cl30, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ X1)
% 45.31/7.15 | (ssPv1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssPv2 @ X3)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssRr @ X4 @ X2))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_31])).
% 45.31/7.15 thf(zip_derived_cl1516, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 (~ (ssRr @ X3 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X3)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ X2)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl30])).
% 45.31/7.15 thf(zip_derived_cl2267, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 ( (ssPv2 @ X1)
% 45.31/7.15 | (ssPv3 @ X2)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1516])).
% 45.31/7.15 thf(zip_derived_cl2294, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl2267])).
% 45.31/7.15 thf(zip_derived_cl11184, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl11153, zip_derived_cl2294])).
% 45.31/7.15 thf(zip_derived_cl11185, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl11184])).
% 45.31/7.15 thf(zip_derived_cl11189, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl5501, zip_derived_cl11185])).
% 45.31/7.15 thf(zip_derived_cl11199, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl11189])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl1152, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1141])).
% 45.31/7.15 thf(zip_derived_cl634, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl633])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause47, conjecture,
% 45.31/7.15 (~( ( ssPv4 @ Y ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv3 @ Z ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.15 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_32, negated_conjecture,
% 45.31/7.15 (( ssPv4 @ Y ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv3 @ Z ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause47])).
% 45.31/7.15 thf(zip_derived_cl4, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X3)
% 45.31/7.15 | ~ (ssRr @ X3 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X4)
% 45.31/7.15 | ~ (ssPv2 @ X5)
% 45.31/7.15 | ~ (ssRr @ X4 @ X5))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_32])).
% 45.31/7.15 thf(zip_derived_cl200, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 (~ (ssRr @ X3 @ X2)
% 45.31/7.15 | ~ (ssPv2 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X3)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | (ssPv4 @ X4))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl4])).
% 45.31/7.15 thf(zip_derived_cl891, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 ( (ssPv4 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ X3)
% 45.31/7.15 | ~ (ssRr @ X2 @ X3)
% 45.31/7.15 | ~ (ssRr @ X3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X2 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl200])).
% 45.31/7.15 thf(zip_derived_cl934, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | (ssPv4 @ X2))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl891])).
% 45.31/7.15 thf(zip_derived_cl939, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 45.31/7.15 | ~ (ssRr @ X2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl934])).
% 45.31/7.15 thf(zip_derived_cl1478, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X0) @ X2)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | (ssPv4 @ X2)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl1152, zip_derived_cl939])).
% 45.31/7.15 thf(zip_derived_cl1479, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv4 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X0) @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1478])).
% 45.31/7.15 thf(zip_derived_cl1887, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1479])).
% 45.31/7.15 thf(zip_derived_cl402, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl400])).
% 45.31/7.15 thf(zip_derived_cl1919, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl1887, zip_derived_cl402])).
% 45.31/7.15 thf(zip_derived_cl1920, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1919])).
% 45.31/7.15 thf(zip_derived_cl634, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl633])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause46, conjecture,
% 45.31/7.15 (~( ( ssPv3 @ Y ) | ( ~( ssPv1 @ W ) ) | ( ~( ssPv3 @ Z ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.15 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_33, negated_conjecture,
% 45.31/7.15 (( ssPv3 @ Y ) | ( ~( ssPv1 @ W ) ) | ( ~( ssPv3 @ Z ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause46])).
% 45.31/7.15 thf(zip_derived_cl5, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.31/7.15 ( (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X3)
% 45.31/7.15 | ~ (ssRr @ X3 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X4)
% 45.31/7.15 | ~ (ssPv2 @ X5)
% 45.31/7.15 | ~ (ssRr @ X4 @ X5))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_33])).
% 45.31/7.15 thf(zip_derived_cl242, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 (~ (ssRr @ X3 @ X2)
% 45.31/7.15 | ~ (ssPv2 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X3)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | (ssPv3 @ X4))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl5])).
% 45.31/7.15 thf(zip_derived_cl1018, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 ( (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv2 @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl242])).
% 45.31/7.15 thf(zip_derived_cl1020, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X2)
% 45.31/7.15 | (ssPv3 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1018])).
% 45.31/7.15 thf(zip_derived_cl1021, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1020])).
% 45.31/7.15 thf(zip_derived_cl1023, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1021])).
% 45.31/7.15 thf(zip_derived_cl1036, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl1023])).
% 45.31/7.15 thf(zip_derived_cl1038, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1036])).
% 45.31/7.15 thf(zip_derived_cl1954, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl1920, zip_derived_cl1038])).
% 45.31/7.15 thf(zip_derived_cl1978, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1954])).
% 45.31/7.15 thf(zip_derived_cl634, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl633])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause33, conjecture,
% 45.31/7.15 (~( ( ssPv3 @ Y ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_34, negated_conjecture,
% 45.31/7.15 (( ssPv3 @ Y ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.15 ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause33])).
% 45.31/7.15 thf(zip_derived_cl18, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 ( (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X2 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X3)
% 45.31/7.15 | ~ (ssPv2 @ X4)
% 45.31/7.15 | ~ (ssRr @ X3 @ X4))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_34])).
% 45.31/7.15 thf(zip_derived_cl822, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 (~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X0) @ X3)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv3 @ X3))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl18])).
% 45.31/7.15 thf(zip_derived_cl845, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl822])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl846, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.15 inference('demod', [status(thm)], [zip_derived_cl845, zip_derived_cl50])).
% 45.31/7.15 thf(zip_derived_cl847, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl846])).
% 45.31/7.15 thf(zip_derived_cl850, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl847])).
% 45.31/7.15 thf(zip_derived_cl852, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl850])).
% 45.31/7.15 thf(zip_derived_cl1920, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1919])).
% 45.31/7.15 thf(zip_derived_cl1962, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('sup+', [status(thm)], [zip_derived_cl852, zip_derived_cl1920])).
% 45.31/7.15 thf(zip_derived_cl1966, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1962])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause37, conjecture,
% 45.31/7.15 (~( ( ~( ssPv3 @ W ) ) | ( ~( ssPv1 @ W ) ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.15 ( ~( ssPv1 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.15 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_35, negated_conjecture,
% 45.31/7.15 (( ~( ssPv3 @ W ) ) | ( ~( ssPv1 @ W ) ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.15 ( ~( ssPv1 @ Y ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.15 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause37])).
% 45.31/7.15 thf(zip_derived_cl14, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssPv3 @ X4)
% 45.31/7.15 | ~ (ssRr @ X3 @ X4))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_35])).
% 45.31/7.15 thf(zip_derived_cl97, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 (~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X0) @ X3)
% 45.31/7.15 | ~ (ssPv1 @ X3)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl14])).
% 45.31/7.15 thf(zip_derived_cl129, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl97])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl130, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.15 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl50])).
% 45.31/7.15 thf(zip_derived_cl131, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl130])).
% 45.31/7.15 thf(zip_derived_cl1981, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl1966, zip_derived_cl131])).
% 45.31/7.15 thf(zip_derived_cl1985, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl1978, zip_derived_cl1981])).
% 45.31/7.15 thf(zip_derived_cl1366, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1365])).
% 45.31/7.15 thf(zip_derived_cl1986, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl1985, zip_derived_cl1366])).
% 45.31/7.15 thf(zip_derived_cl131, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl130])).
% 45.31/7.15 thf(zip_derived_cl1987, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X0) | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))) | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl1986, zip_derived_cl131])).
% 45.31/7.15 thf(zip_derived_cl11363, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl11199, zip_derived_cl1987])).
% 45.31/7.15 thf(zip_derived_cl5501, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5500, zip_derived_cl5025])).
% 45.31/7.15 thf(zip_derived_cl210, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl208])).
% 45.31/7.15 thf(zip_derived_cl5530, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl5501, zip_derived_cl210])).
% 45.31/7.15 thf(zip_derived_cl5582, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl5530])).
% 45.31/7.15 thf(zip_derived_cl5601, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5587, zip_derived_cl2352])).
% 45.31/7.15 thf(zip_derived_cl5715, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5582, zip_derived_cl5601])).
% 45.31/7.15 thf(zip_derived_cl11403, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl11363, zip_derived_cl5715])).
% 45.31/7.15 thf(zip_derived_cl12767, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)],
% 45.31/7.15 [zip_derived_cl12216, zip_derived_cl11403])).
% 45.31/7.15 thf(zip_derived_cl2453, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl2452, zip_derived_cl402])).
% 45.31/7.15 thf(zip_derived_cl12776, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl12767, zip_derived_cl2453])).
% 45.31/7.15 thf(zip_derived_cl12837, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl12776])).
% 45.31/7.15 thf(zip_derived_cl12406, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0)) | (ssPv2 @ X0) | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl12405, zip_derived_cl8852])).
% 45.31/7.15 thf(zip_derived_cl12862, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)],
% 45.31/7.15 [zip_derived_cl12837, zip_derived_cl12406])).
% 45.31/7.15 thf(zip_derived_cl5715, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl5582, zip_derived_cl5601])).
% 45.31/7.15 thf(zip_derived_cl12863, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl12862, zip_derived_cl5715])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl12863, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl12862, zip_derived_cl5715])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl3, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssPv2 @ X3)
% 45.31/7.15 | ~ (ssRr @ X2 @ X3)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssPv3 @ X5)
% 45.31/7.15 | ~ (ssRr @ X4 @ X5))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_15])).
% 45.31/7.15 thf(zip_derived_cl143, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 (~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X4 @ X3)
% 45.31/7.15 | ~ (ssPv2 @ X3)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3])).
% 45.31/7.15 thf(zip_derived_cl268, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X2))
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl143])).
% 45.31/7.15 thf(zip_derived_cl270, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X2))
% 45.31/7.15 | ~ (ssPv4 @ X2))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl268])).
% 45.31/7.15 thf(zip_derived_cl271, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl270])).
% 45.31/7.15 thf(zip_derived_cl12907, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl12863, zip_derived_cl271])).
% 45.31/7.15 thf(zip_derived_cl12406, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0)) | (ssPv2 @ X0) | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl12405, zip_derived_cl8852])).
% 45.31/7.15 thf(zip_derived_cl13004, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ (skf1 @ X0) @ X1)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X1))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)],
% 45.31/7.15 [zip_derived_cl12907, zip_derived_cl12406])).
% 45.31/7.15 thf(zip_derived_cl13005, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl13004])).
% 45.31/7.15 thf(zip_derived_cl13011, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl12863, zip_derived_cl13005])).
% 45.31/7.15 thf(zip_derived_cl13016, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl13011])).
% 45.31/7.15 thf(zip_derived_cl13029, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl12406, zip_derived_cl13016])).
% 45.31/7.15 thf(zip_derived_cl13035, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl13029])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause10, conjecture,
% 45.31/7.15 (~( ( ssPv2 @ W ) | ( ssPv1 @ V ) | ( ~( ssPv3 @ W ) ) |
% 45.31/7.15 ( ~( ssPv4 @ X ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_36, negated_conjecture,
% 45.31/7.15 (( ssPv2 @ W ) | ( ssPv1 @ V ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv4 @ X ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause10])).
% 45.31/7.15 thf(zip_derived_cl41, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssRr @ X3 @ X1))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_36])).
% 45.31/7.15 thf(zip_derived_cl419, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | (ssPv1 @ X2)
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl41])).
% 45.31/7.15 thf(zip_derived_cl430, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv2 @ X1)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl419])).
% 45.31/7.15 thf(zip_derived_cl434, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl430])).
% 45.31/7.15 thf(zip_derived_cl14716, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ (skf1 @ X0)))))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl13035, zip_derived_cl434])).
% 45.31/7.15 thf(zip_derived_cl14779, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ (skf1 @ X0)))))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl14716])).
% 45.31/7.15 thf(zip_derived_cl12863, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl12862, zip_derived_cl5715])).
% 45.31/7.15 thf(zip_derived_cl16305, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ (skf1 @ X0))))))),
% 45.31/7.15 inference('clc', [status(thm)],
% 45.31/7.15 [zip_derived_cl14779, zip_derived_cl12863])).
% 45.31/7.15 thf(zip_derived_cl210, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl208])).
% 45.31/7.15 thf(zip_derived_cl16346, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl16305, zip_derived_cl210])).
% 45.31/7.15 thf(zip_derived_cl16411, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl16346])).
% 45.31/7.15 thf(zip_derived_cl12406, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0)) | (ssPv2 @ X0) | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl12405, zip_derived_cl8852])).
% 45.31/7.15 thf(zip_derived_cl16436, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.31/7.15 inference('clc', [status(thm)],
% 45.31/7.15 [zip_derived_cl16411, zip_derived_cl12406])).
% 45.31/7.15 thf(zip_derived_cl12863, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl12862, zip_derived_cl5715])).
% 45.31/7.15 thf(zip_derived_cl1023, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1021])).
% 45.31/7.15 thf(zip_derived_cl12863, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl12862, zip_derived_cl5715])).
% 45.31/7.15 thf(zip_derived_cl2213, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2212])).
% 45.31/7.15 thf(zip_derived_cl1987, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X0) | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))) | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl1986, zip_derived_cl131])).
% 45.31/7.15 thf(zip_derived_cl2250, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl2213, zip_derived_cl1987])).
% 45.31/7.15 thf(zip_derived_cl12944, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl12863, zip_derived_cl2250])).
% 45.31/7.15 thf(zip_derived_cl651, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl645, zip_derived_cl644])).
% 45.31/7.15 thf(zip_derived_cl13073, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl12944, zip_derived_cl651])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause34, conjecture,
% 45.31/7.15 (~( ( ssPv1 @ Y ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ U ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_37, negated_conjecture,
% 45.31/7.15 (( ssPv1 @ Y ) | ( ~( ssPv3 @ W ) ) | ( ~( ssPv1 @ W ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.15 ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause34])).
% 45.31/7.15 thf(zip_derived_cl17, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 ( (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X2 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X3)
% 45.31/7.15 | ~ (ssPv4 @ X4)
% 45.31/7.15 | ~ (ssRr @ X3 @ X4))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_37])).
% 45.31/7.15 thf(zip_derived_cl662, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 (~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv4 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X0) @ X3)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ X3))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl17])).
% 45.31/7.15 thf(zip_derived_cl695, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl662])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl696, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.15 inference('demod', [status(thm)], [zip_derived_cl695, zip_derived_cl50])).
% 45.31/7.15 thf(zip_derived_cl697, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl696])).
% 45.31/7.15 thf(zip_derived_cl8239, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8203, zip_derived_cl1804])).
% 45.31/7.15 thf(zip_derived_cl8308, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup+', [status(thm)], [zip_derived_cl697, zip_derived_cl8239])).
% 45.31/7.15 thf(zip_derived_cl8312, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl8308])).
% 45.31/7.15 thf(zip_derived_cl1987, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X0) | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))) | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl1986, zip_derived_cl131])).
% 45.31/7.15 thf(zip_derived_cl8333, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8312, zip_derived_cl1987])).
% 45.31/7.15 thf(zip_derived_cl13074, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl13073, zip_derived_cl8333])).
% 45.31/7.15 thf(zip_derived_cl13130, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup+', [status(thm)],
% 45.31/7.15 [zip_derived_cl1023, zip_derived_cl13074])).
% 45.31/7.15 thf(zip_derived_cl13135, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl13130])).
% 45.31/7.15 thf(zip_derived_cl296, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl291])).
% 45.31/7.15 thf(zip_derived_cl13233, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl13135, zip_derived_cl296])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl22, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssPv3 @ X4)
% 45.31/7.15 | ~ (ssRr @ X3 @ X4))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_27])).
% 45.31/7.15 thf(zip_derived_cl1045, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 (~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X0) @ X3)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ X3)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl22])).
% 45.31/7.15 thf(zip_derived_cl1419, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv4 @ X1)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl1045])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl1420, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv4 @ X1)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X1) @ X0))),
% 45.31/7.15 inference('demod', [status(thm)], [zip_derived_cl1419, zip_derived_cl50])).
% 45.31/7.15 thf(zip_derived_cl1421, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1420])).
% 45.31/7.15 thf(zip_derived_cl13301, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl13233, zip_derived_cl1421])).
% 45.31/7.15 thf(zip_derived_cl13356, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl13301])).
% 45.31/7.15 thf(zip_derived_cl13233, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl13135, zip_derived_cl296])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl13074, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl13073, zip_derived_cl8333])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl144, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 (~ (ssRr @ X3 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X3)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssPv2 @ X4)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl3])).
% 45.31/7.15 thf(zip_derived_cl181, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X2)
% 45.31/7.15 | ~ (ssPv2 @ X3)
% 45.31/7.15 | ~ (ssRr @ X2 @ X3)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl144])).
% 45.31/7.15 thf(zip_derived_cl193, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssRr @ (skf1 @ X0) @ X2)
% 45.31/7.15 | ~ (ssPv2 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl181])).
% 45.31/7.15 thf(zip_derived_cl204, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X1)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl193])).
% 45.31/7.15 thf(zip_derived_cl13100, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl13074, zip_derived_cl204])).
% 45.31/7.15 thf(zip_derived_cl13141, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl13100])).
% 45.31/7.15 thf(zip_derived_cl13194, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl13141])).
% 45.31/7.15 thf(zip_derived_cl13308, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl13233, zip_derived_cl13194])).
% 45.31/7.15 thf(zip_derived_cl13357, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl13308])).
% 45.31/7.15 thf(zip_derived_cl13390, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)],
% 45.31/7.15 [zip_derived_cl13356, zip_derived_cl13357])).
% 45.31/7.15 thf(zip_derived_cl13390, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)],
% 45.31/7.15 [zip_derived_cl13356, zip_derived_cl13357])).
% 45.31/7.15 thf(zip_derived_cl1987, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X0) | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))) | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl1986, zip_derived_cl131])).
% 45.31/7.15 thf(zip_derived_cl13467, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl13390, zip_derived_cl1987])).
% 45.31/7.15 thf(zip_derived_cl13528, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl13467])).
% 45.31/7.15 thf(zip_derived_cl13542, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl13390, zip_derived_cl13528])).
% 45.31/7.15 thf(zip_derived_cl13548, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl13542])).
% 45.31/7.15 thf(zip_derived_cl13233, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl13135, zip_derived_cl296])).
% 45.31/7.15 thf(zip_derived_cl13568, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)],
% 45.31/7.15 [zip_derived_cl13548, zip_derived_cl13233])).
% 45.31/7.15 thf(zip_derived_cl13574, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl12863, zip_derived_cl13568])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl11072, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl11071, zip_derived_cl8393])).
% 45.31/7.15 thf(zip_derived_cl1533, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X1))
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl1523])).
% 45.31/7.15 thf(zip_derived_cl11093, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X1))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl11072, zip_derived_cl1533])).
% 45.31/7.15 thf(zip_derived_cl697, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl696])).
% 45.31/7.15 thf(zip_derived_cl8147, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8146, zip_derived_cl8132])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(clause39, conjecture,
% 45.31/7.15 (~( ( ssPv2 @ W ) | ( ssPv4 @ Z ) | ( ssPv1 @ Y ) |
% 45.31/7.15 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 45.31/7.15 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssPv2 @ V ) ) |
% 45.31/7.15 ( ~( ssRr @ U @ V ) ) ))).
% 45.31/7.15 thf(zf_stmt_38, negated_conjecture,
% 45.31/7.15 (( ssPv2 @ W ) | ( ssPv4 @ Z ) | ( ssPv1 @ Y ) | ( ~( ssRr @ W @ Z ) ) |
% 45.31/7.15 ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) |
% 45.31/7.15 ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 45.31/7.15 inference('cnf.neg', [status(esa)], [clause39])).
% 45.31/7.15 thf(zip_derived_cl12, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X1)
% 45.31/7.15 | (ssPv1 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X3)
% 45.31/7.15 | ~ (ssRr @ X3 @ X2)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssPv2 @ X5)
% 45.31/7.15 | ~ (ssRr @ X4 @ X5))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_38])).
% 45.31/7.15 thf(zip_derived_cl620, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 (~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X0 @ X2)
% 45.31/7.15 | ~ (ssRr @ X4 @ X3)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | (ssPv1 @ X3)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl12])).
% 45.31/7.15 thf(zip_derived_cl2931, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 ( (ssPv2 @ X2)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X2))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv2 @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl620])).
% 45.31/7.15 thf(zip_derived_cl2933, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X2))
% 45.31/7.15 | (ssPv2 @ X2))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl2931])).
% 45.31/7.15 thf(zip_derived_cl2934, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv2 @ X1)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X1))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2933])).
% 45.31/7.15 thf(zip_derived_cl2936, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2934])).
% 45.31/7.15 thf(zip_derived_cl8182, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl8147, zip_derived_cl2936])).
% 45.31/7.15 thf(zip_derived_cl8211, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl8182])).
% 45.31/7.15 thf(zip_derived_cl8794, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup+', [status(thm)], [zip_derived_cl697, zip_derived_cl8211])).
% 45.31/7.15 thf(zip_derived_cl8799, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl8794])).
% 45.31/7.15 thf(zip_derived_cl434, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl430])).
% 45.31/7.15 thf(zip_derived_cl8821, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8799, zip_derived_cl434])).
% 45.31/7.15 thf(zip_derived_cl1987, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X0) | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))) | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl1986, zip_derived_cl131])).
% 45.31/7.15 thf(zip_derived_cl8822, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8821, zip_derived_cl1987])).
% 45.31/7.15 thf(zip_derived_cl11514, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X1))
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl11093, zip_derived_cl8822])).
% 45.31/7.15 thf(zip_derived_cl11515, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl11514])).
% 45.31/7.15 thf(zip_derived_cl11516, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl11515])).
% 45.31/7.15 thf(zip_derived_cl13618, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0)) | (ssPv2 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)],
% 45.31/7.15 [zip_derived_cl13574, zip_derived_cl11516])).
% 45.31/7.15 thf(zip_derived_cl16463, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl16436, zip_derived_cl13618])).
% 45.31/7.15 thf(zip_derived_cl16546, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl16463])).
% 45.31/7.15 thf(zip_derived_cl13016, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl13011])).
% 45.31/7.15 thf(zip_derived_cl16589, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)],
% 45.31/7.15 [zip_derived_cl16546, zip_derived_cl13016])).
% 45.31/7.15 thf(zip_derived_cl697, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl696])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl1643, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1637])).
% 45.31/7.15 thf(zip_derived_cl3091, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl3086, zip_derived_cl1884])).
% 45.31/7.15 thf(zip_derived_cl1547, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1546])).
% 45.31/7.15 thf(zip_derived_cl3998, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl3091, zip_derived_cl1547])).
% 45.31/7.15 thf(zip_derived_cl3086, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3081])).
% 45.31/7.15 thf(zip_derived_cl4627, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl3998, zip_derived_cl3086])).
% 45.31/7.15 thf(zip_derived_cl4345, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl4019])).
% 45.31/7.15 thf(zip_derived_cl4628, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl4627, zip_derived_cl4345])).
% 45.31/7.15 thf(zip_derived_cl4633, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl1643, zip_derived_cl4628])).
% 45.31/7.15 thf(zip_derived_cl4640, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl4633])).
% 45.31/7.15 thf(zip_derived_cl454, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl450])).
% 45.31/7.15 thf(zip_derived_cl4667, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl4640, zip_derived_cl454])).
% 45.31/7.15 thf(zip_derived_cl4701, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl4667])).
% 45.31/7.15 thf(zip_derived_cl1023, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1021])).
% 45.31/7.15 thf(zip_derived_cl4640, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl4633])).
% 45.31/7.15 thf(zip_derived_cl4684, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup+', [status(thm)], [zip_derived_cl1023, zip_derived_cl4640])).
% 45.31/7.15 thf(zip_derived_cl4689, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl4684])).
% 45.31/7.15 thf(zip_derived_cl3122, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl3106])).
% 45.31/7.15 thf(zip_derived_cl5446, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl4689, zip_derived_cl3122])).
% 45.31/7.15 thf(zip_derived_cl21238, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl4701, zip_derived_cl5446])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl200, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.31/7.15 (~ (ssRr @ X3 @ X2)
% 45.31/7.15 | ~ (ssPv2 @ X2)
% 45.31/7.15 | ~ (ssRr @ X1 @ X3)
% 45.31/7.15 | ~ (ssRr @ X0 @ X4)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | (ssPv4 @ X4))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl4])).
% 45.31/7.15 thf(zip_derived_cl893, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X2)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv2 @ X0))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl200])).
% 45.31/7.15 thf(zip_derived_cl895, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.31/7.15 (~ (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssRr @ X2 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X2)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl893])).
% 45.31/7.15 thf(zip_derived_cl896, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ X1)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl895])).
% 45.31/7.15 thf(zip_derived_cl901, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl896])).
% 45.31/7.15 thf(zip_derived_cl4640, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl4633])).
% 45.31/7.15 thf(zip_derived_cl4683, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup+', [status(thm)], [zip_derived_cl901, zip_derived_cl4640])).
% 45.31/7.15 thf(zip_derived_cl4688, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl4683])).
% 45.31/7.15 thf(zip_derived_cl3122, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl3106])).
% 45.31/7.15 thf(zip_derived_cl4879, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl4688, zip_derived_cl3122])).
% 45.31/7.15 thf(zip_derived_cl21239, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl21238, zip_derived_cl4879])).
% 45.31/7.15 thf(zip_derived_cl2348, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2347])).
% 45.31/7.15 thf(zip_derived_cl21288, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl21239, zip_derived_cl2348])).
% 45.31/7.15 thf(zip_derived_cl21324, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl21288])).
% 45.31/7.15 thf(zip_derived_cl8393, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl8392, zip_derived_cl1804])).
% 45.31/7.15 thf(zip_derived_cl21380, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl21324, zip_derived_cl8393])).
% 45.31/7.15 thf(zip_derived_cl1061, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl1052])).
% 45.31/7.15 thf(zip_derived_cl21396, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl21380, zip_derived_cl1061])).
% 45.31/7.15 thf(zip_derived_cl21482, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ X1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl21396])).
% 45.31/7.15 thf(zip_derived_cl12406, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0)) | (ssPv2 @ X0) | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl12405, zip_derived_cl8852])).
% 45.31/7.15 thf(zip_derived_cl21561, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X1)
% 45.31/7.15 | ~ (ssRr @ X1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)],
% 45.31/7.15 [zip_derived_cl21482, zip_derived_cl12406])).
% 45.31/7.15 thf(zip_derived_cl21562, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl21561])).
% 45.31/7.15 thf(zip_derived_cl21563, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl21562])).
% 45.31/7.15 thf(zip_derived_cl21632, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup+', [status(thm)], [zip_derived_cl697, zip_derived_cl21563])).
% 45.31/7.15 thf(zip_derived_cl21635, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl21632])).
% 45.31/7.15 thf(zip_derived_cl1987, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ X0) | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))) | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl1986, zip_derived_cl131])).
% 45.31/7.15 thf(zip_derived_cl21648, plain,
% 45.31/7.15 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv1 @ X0) | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl21635, zip_derived_cl1987])).
% 45.31/7.15 thf(zip_derived_cl2936, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2934])).
% 45.31/7.15 thf(zip_derived_cl21684, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)],
% 45.31/7.15 [zip_derived_cl21648, zip_derived_cl2936])).
% 45.31/7.15 thf(zip_derived_cl21563, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl21562])).
% 45.31/7.15 thf(zip_derived_cl22621, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)],
% 45.31/7.15 [zip_derived_cl21684, zip_derived_cl21563])).
% 45.31/7.15 thf(zip_derived_cl9087, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl9086])).
% 45.31/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.31/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.31/7.15 thf(zip_derived_cl2294, plain,
% 45.31/7.15 (![X0 : $i, X1 : $i]:
% 45.31/7.15 (~ (ssRr @ X1 @ X0)
% 45.31/7.15 | ~ (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv2 @ X1))),
% 45.31/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl2267])).
% 45.31/7.15 thf(zip_derived_cl2295, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2294])).
% 45.31/7.15 thf(zip_derived_cl9095, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl9087, zip_derived_cl2295])).
% 45.31/7.15 thf(zip_derived_cl9145, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl9095])).
% 45.31/7.15 thf(zip_derived_cl6558, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl6557, zip_derived_cl2146])).
% 45.31/7.15 thf(zip_derived_cl518, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl516])).
% 45.31/7.15 thf(zip_derived_cl6608, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl6558, zip_derived_cl518])).
% 45.31/7.15 thf(zip_derived_cl6636, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl6608])).
% 45.31/7.15 thf(zip_derived_cl1884, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1883])).
% 45.31/7.15 thf(zip_derived_cl6647, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl6636, zip_derived_cl1884])).
% 45.31/7.15 thf(zip_derived_cl6690, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl6647])).
% 45.31/7.15 thf(zip_derived_cl1804, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl1795])).
% 45.31/7.15 thf(zip_derived_cl6740, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ X0)
% 45.31/7.15 | (ssPv4 @ X0)
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl6690, zip_derived_cl1804])).
% 45.31/7.15 thf(zip_derived_cl644, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 45.31/7.15 thf(zip_derived_cl6772, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl6740, zip_derived_cl644])).
% 45.31/7.15 thf(zip_derived_cl2453, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl2452, zip_derived_cl402])).
% 45.31/7.15 thf(zip_derived_cl7811, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl6772, zip_derived_cl2453])).
% 45.31/7.15 thf(zip_derived_cl3086, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3081])).
% 45.31/7.15 thf(zip_derived_cl2936, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2934])).
% 45.31/7.15 thf(zip_derived_cl3113, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ X0)
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl3086, zip_derived_cl2936])).
% 45.31/7.15 thf(zip_derived_cl7812, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv4 @ X0)
% 45.31/7.15 | (ssPv2 @ X0))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl7811, zip_derived_cl3113])).
% 45.31/7.15 thf(zip_derived_cl9197, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl9145, zip_derived_cl7812])).
% 45.31/7.15 thf(zip_derived_cl296, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | ~ (ssPv1 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.31/7.15 | (ssPv4 @ X0))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl291])).
% 45.31/7.15 thf(zip_derived_cl9215, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('sup-', [status(thm)], [zip_derived_cl9197, zip_derived_cl296])).
% 45.31/7.15 thf(zip_derived_cl9291, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.31/7.15 inference('simplify', [status(thm)], [zip_derived_cl9215])).
% 45.31/7.15 thf(zip_derived_cl4941, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl4940, zip_derived_cl4403])).
% 45.31/7.15 thf(zip_derived_cl9322, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.31/7.15 | (ssPv2 @ X0)
% 45.31/7.15 | (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.31/7.15 inference('clc', [status(thm)], [zip_derived_cl9291, zip_derived_cl4941])).
% 45.31/7.15 thf(zip_derived_cl13568, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 (~ (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.31/7.15 inference('clc', [status(thm)],
% 45.31/7.15 [zip_derived_cl13548, zip_derived_cl13233])).
% 45.31/7.15 thf(zip_derived_cl13575, plain,
% 45.31/7.15 (![X0 : $i]:
% 45.31/7.15 ( (ssPv2 @ X0)
% 45.31/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('sup-', [status(thm)],
% 45.86/7.15 [zip_derived_cl9322, zip_derived_cl13568])).
% 45.86/7.15 thf(zip_derived_cl9322, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl9291, zip_derived_cl4941])).
% 45.86/7.15 thf(zip_derived_cl1421, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | ~ (ssPv1 @ X0)
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv4 @ X0))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1420])).
% 45.86/7.15 thf(zip_derived_cl9381, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl9322, zip_derived_cl1421])).
% 45.86/7.15 thf(zip_derived_cl9408, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0))),
% 45.86/7.15 inference('simplify', [status(thm)], [zip_derived_cl9381])).
% 45.86/7.15 thf(zip_derived_cl4941, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl4940, zip_derived_cl4403])).
% 45.86/7.15 thf(zip_derived_cl9545, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl9408, zip_derived_cl4941])).
% 45.86/7.15 thf(zip_derived_cl13754, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl13575, zip_derived_cl9545])).
% 45.86/7.15 thf(zip_derived_cl9197, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl9145, zip_derived_cl7812])).
% 45.86/7.15 thf(zip_derived_cl13755, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0) | (ssPv4 @ (skf1 @ X0)) | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl13754, zip_derived_cl9197])).
% 45.86/7.15 thf(zip_derived_cl22622, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('clc', [status(thm)],
% 45.86/7.15 [zip_derived_cl22621, zip_derived_cl13755])).
% 45.86/7.15 thf(zip_derived_cl296, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv1 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv4 @ X0))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl291])).
% 45.86/7.15 thf(zip_derived_cl22635, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl22622, zip_derived_cl296])).
% 45.86/7.15 thf(zip_derived_cl22754, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.86/7.15 inference('simplify', [status(thm)], [zip_derived_cl22635])).
% 45.86/7.15 thf(zip_derived_cl21563, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 45.86/7.15 inference('simplify', [status(thm)], [zip_derived_cl21562])).
% 45.86/7.15 thf(zip_derived_cl22963, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.86/7.15 inference('clc', [status(thm)],
% 45.86/7.15 [zip_derived_cl22754, zip_derived_cl21563])).
% 45.86/7.15 thf(zip_derived_cl1421, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | ~ (ssPv1 @ X0)
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv4 @ X0))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1420])).
% 45.86/7.15 thf(zip_derived_cl23033, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.15 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.15 inference('sup-', [status(thm)],
% 45.86/7.15 [zip_derived_cl22963, zip_derived_cl1421])).
% 45.86/7.15 thf(zip_derived_cl23068, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0))),
% 45.86/7.15 inference('simplify', [status(thm)], [zip_derived_cl23033])).
% 45.86/7.15 thf(zip_derived_cl21563, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 45.86/7.15 inference('simplify', [status(thm)], [zip_derived_cl21562])).
% 45.86/7.15 thf(zip_derived_cl23124, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.86/7.15 inference('clc', [status(thm)],
% 45.86/7.15 [zip_derived_cl23068, zip_derived_cl21563])).
% 45.86/7.15 thf(zip_derived_cl22963, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.86/7.15 inference('clc', [status(thm)],
% 45.86/7.15 [zip_derived_cl22754, zip_derived_cl21563])).
% 45.86/7.15 thf(zip_derived_cl13568, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.15 inference('clc', [status(thm)],
% 45.86/7.15 [zip_derived_cl13548, zip_derived_cl13233])).
% 45.86/7.15 thf(zip_derived_cl22993, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('sup-', [status(thm)],
% 45.86/7.15 [zip_derived_cl22963, zip_derived_cl13568])).
% 45.86/7.15 thf(zip_derived_cl22622, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('clc', [status(thm)],
% 45.86/7.15 [zip_derived_cl22621, zip_derived_cl13755])).
% 45.86/7.15 thf(zip_derived_cl23080, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0))),
% 45.86/7.15 inference('clc', [status(thm)],
% 45.86/7.15 [zip_derived_cl22993, zip_derived_cl22622])).
% 45.86/7.15 thf(zip_derived_cl23125, plain,
% 45.86/7.15 (![X0 : $i]: ( (ssPv4 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 45.86/7.15 inference('clc', [status(thm)],
% 45.86/7.15 [zip_derived_cl23124, zip_derived_cl23080])).
% 45.86/7.15 thf(zip_derived_cl3086, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv1 @ X0)
% 45.86/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3081])).
% 45.86/7.15 thf(zip_derived_cl62, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv2 @ X0)
% 45.86/7.15 | ~ (ssPv4 @ X0))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl61])).
% 45.86/7.15 thf(zip_derived_cl3102, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | ~ (ssPv4 @ X0)
% 45.86/7.15 | ~ (ssPv2 @ X0)
% 45.86/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl3086, zip_derived_cl62])).
% 45.86/7.15 thf(zip_derived_cl2453, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv4 @ X0)
% 45.86/7.15 | ~ (ssPv1 @ X0))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl2452, zip_derived_cl402])).
% 45.86/7.15 thf(zip_derived_cl3126, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv2 @ X0)
% 45.86/7.15 | ~ (ssPv4 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl3102, zip_derived_cl2453])).
% 45.86/7.15 thf(zip_derived_cl23125, plain,
% 45.86/7.15 (![X0 : $i]: ( (ssPv4 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 45.86/7.15 inference('clc', [status(thm)],
% 45.86/7.15 [zip_derived_cl23124, zip_derived_cl23080])).
% 45.86/7.15 thf(zip_derived_cl4628, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl4627, zip_derived_cl4345])).
% 45.86/7.15 thf(zip_derived_cl23176, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.15 inference('sup-', [status(thm)],
% 45.86/7.15 [zip_derived_cl23125, zip_derived_cl4628])).
% 45.86/7.15 thf(zip_derived_cl23199, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.15 inference('simplify', [status(thm)], [zip_derived_cl23176])).
% 45.86/7.15 thf(zip_derived_cl23424, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv4 @ X0)
% 45.86/7.15 | ~ (ssPv2 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.86/7.15 inference('sup+', [status(thm)],
% 45.86/7.15 [zip_derived_cl3126, zip_derived_cl23199])).
% 45.86/7.15 thf(zip_derived_cl23430, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | ~ (ssPv2 @ X0)
% 45.86/7.15 | ~ (ssPv4 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.15 inference('simplify', [status(thm)], [zip_derived_cl23424])).
% 45.86/7.15 thf(zip_derived_cl23125, plain,
% 45.86/7.15 (![X0 : $i]: ( (ssPv4 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 45.86/7.15 inference('clc', [status(thm)],
% 45.86/7.15 [zip_derived_cl23124, zip_derived_cl23080])).
% 45.86/7.15 thf(zip_derived_cl23455, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv4 @ X0)
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.86/7.15 inference('clc', [status(thm)],
% 45.86/7.15 [zip_derived_cl23430, zip_derived_cl23125])).
% 45.86/7.15 thf(zip_derived_cl23458, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('sup-', [status(thm)],
% 45.86/7.15 [zip_derived_cl23125, zip_derived_cl23455])).
% 45.86/7.15 thf(zip_derived_cl2348, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv2 @ X0))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2347])).
% 45.86/7.15 thf(zip_derived_cl24253, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('sup-', [status(thm)],
% 45.86/7.15 [zip_derived_cl23458, zip_derived_cl2348])).
% 45.86/7.15 thf(zip_derived_cl24287, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv1 @ X0)
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('simplify', [status(thm)], [zip_derived_cl24253])).
% 45.86/7.15 thf(zip_derived_cl22622, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('clc', [status(thm)],
% 45.86/7.15 [zip_derived_cl22621, zip_derived_cl13755])).
% 45.86/7.15 thf(zip_derived_cl2453, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv4 @ X0)
% 45.86/7.15 | ~ (ssPv1 @ X0))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl2452, zip_derived_cl402])).
% 45.86/7.15 thf(zip_derived_cl21648, plain,
% 45.86/7.15 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv1 @ X0) | (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl21635, zip_derived_cl1987])).
% 45.86/7.15 thf(zip_derived_cl21704, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv1 @ X0)
% 45.86/7.15 | ~ (ssPv4 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv1 @ X0)
% 45.86/7.15 | ~ (ssPv3 @ X0))),
% 45.86/7.15 inference('sup+', [status(thm)],
% 45.86/7.15 [zip_derived_cl2453, zip_derived_cl21648])).
% 45.86/7.15 thf(zip_derived_cl21710, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv3 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv4 @ X0)
% 45.86/7.15 | ~ (ssPv1 @ X0))),
% 45.86/7.15 inference('simplify', [status(thm)], [zip_derived_cl21704])).
% 45.86/7.15 thf(zip_derived_cl1152, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv1 @ X0)
% 45.86/7.15 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1141])).
% 45.86/7.15 thf(zip_derived_cl1767, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv4 @ X0))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1761])).
% 45.86/7.15 thf(zip_derived_cl752, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv4 @ X0))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl744])).
% 45.86/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.15 thf(zip_derived_cl13755, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0) | (ssPv4 @ (skf1 @ X0)) | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl13754, zip_derived_cl9197])).
% 45.86/7.15 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.15 thf(zip_derived_cl0, plain,
% 45.86/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 45.86/7.15 (~ (ssPv2 @ X0)
% 45.86/7.15 | ~ (ssRr @ X0 @ X1)
% 45.86/7.15 | ~ (ssPv1 @ X2)
% 45.86/7.15 | ~ (ssRr @ X1 @ X2)
% 45.86/7.15 | ~ (ssRr @ X0 @ X3)
% 45.86/7.15 | ~ (ssPv2 @ X4)
% 45.86/7.15 | ~ (ssRr @ X3 @ X4)
% 45.86/7.15 | ~ (ssRr @ X0 @ X5)
% 45.86/7.15 | ~ (ssPv4 @ X6)
% 45.86/7.15 | ~ (ssRr @ X5 @ X6))),
% 45.86/7.15 inference('cnf', [status(esa)], [zf_stmt_26])).
% 45.86/7.15 thf(zip_derived_cl66, plain,
% 45.86/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.86/7.15 (~ (ssRr @ X3 @ X2)
% 45.86/7.15 | ~ (ssPv4 @ X2)
% 45.86/7.15 | ~ (ssRr @ X1 @ X3)
% 45.86/7.15 | ~ (ssRr @ X0 @ X4)
% 45.86/7.15 | ~ (ssPv2 @ X4)
% 45.86/7.15 | ~ (ssRr @ X1 @ X0)
% 45.86/7.15 | ~ (ssRr @ X0 @ X5)
% 45.86/7.15 | ~ (ssPv1 @ X5)
% 45.86/7.15 | ~ (ssPv2 @ X1))),
% 45.86/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl0])).
% 45.86/7.15 thf(zip_derived_cl317, plain,
% 45.86/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.86/7.15 (~ (ssPv2 @ X1)
% 45.86/7.15 | ~ (ssPv1 @ X2)
% 45.86/7.15 | ~ (ssRr @ X3 @ X2)
% 45.86/7.15 | ~ (ssRr @ X1 @ X3)
% 45.86/7.15 | ~ (ssPv2 @ X4)
% 45.86/7.15 | ~ (ssRr @ X3 @ X4)
% 45.86/7.15 | ~ (ssRr @ X1 @ X0)
% 45.86/7.15 | ~ (ssPv4 @ (skf1 @ X0)))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl66])).
% 45.86/7.15 thf(zip_derived_cl423, plain,
% 45.86/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.86/7.15 (~ (ssPv4 @ (skf1 @ X2))
% 45.86/7.15 | ~ (ssRr @ X3 @ X2)
% 45.86/7.15 | ~ (ssRr @ X1 @ X0)
% 45.86/7.15 | ~ (ssPv2 @ X0)
% 45.86/7.15 | ~ (ssRr @ X3 @ X1)
% 45.86/7.15 | ~ (ssPv1 @ X0)
% 45.86/7.15 | ~ (ssPv2 @ X3))),
% 45.86/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl317])).
% 45.86/7.15 thf(zip_derived_cl13790, plain,
% 45.86/7.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | ~ (ssPv2 @ X1)
% 45.86/7.15 | ~ (ssPv1 @ X2)
% 45.86/7.15 | ~ (ssRr @ X1 @ X3)
% 45.86/7.15 | ~ (ssPv2 @ X2)
% 45.86/7.15 | ~ (ssRr @ X3 @ X2)
% 45.86/7.15 | ~ (ssRr @ X1 @ X0))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl13755, zip_derived_cl423])).
% 45.86/7.15 thf(zip_derived_cl14521, plain,
% 45.86/7.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.86/7.15 (~ (ssRr @ X1 @ X0)
% 45.86/7.15 | ~ (ssRr @ X0 @ X2)
% 45.86/7.15 | ~ (ssPv2 @ X2)
% 45.86/7.15 | ~ (ssPv1 @ X2)
% 45.86/7.15 | ~ (ssPv2 @ X1)
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.15 inference('eq_fact', [status(thm)], [zip_derived_cl13790])).
% 45.86/7.15 thf(zip_derived_cl14528, plain,
% 45.86/7.15 (![X0 : $i, X1 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv2 @ X0)
% 45.86/7.15 | ~ (ssPv1 @ X1)
% 45.86/7.15 | ~ (ssPv2 @ X1)
% 45.86/7.15 | ~ (ssRr @ (skf1 @ X0) @ X1))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl14521])).
% 45.86/7.15 thf(zip_derived_cl12863, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl12862, zip_derived_cl5715])).
% 45.86/7.15 thf(zip_derived_cl14566, plain,
% 45.86/7.15 (![X0 : $i, X1 : $i]:
% 45.86/7.15 (~ (ssRr @ (skf1 @ X0) @ X1)
% 45.86/7.15 | ~ (ssPv2 @ X1)
% 45.86/7.15 | ~ (ssPv1 @ X1)
% 45.86/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('clc', [status(thm)],
% 45.86/7.15 [zip_derived_cl14528, zip_derived_cl12863])).
% 45.86/7.15 thf(zip_derived_cl14567, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl14566])).
% 45.86/7.15 thf(zip_derived_cl3859, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0))),
% 45.86/7.15 inference('simplify', [status(thm)], [zip_derived_cl3858])).
% 45.86/7.15 thf(zip_derived_cl14568, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl14567, zip_derived_cl3859])).
% 45.86/7.15 thf(zip_derived_cl14572, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv4 @ X0)
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl752, zip_derived_cl14568])).
% 45.86/7.15 thf(zip_derived_cl752, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv4 @ X0))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl744])).
% 45.86/7.15 thf(zip_derived_cl2295, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2294])).
% 45.86/7.15 thf(zip_derived_cl2297, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv4 @ X0)
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl752, zip_derived_cl2295])).
% 45.86/7.15 thf(zip_derived_cl644, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | ~ (ssPv4 @ X0)
% 45.86/7.15 | ~ (ssPv1 @ X0))),
% 45.86/7.15 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 45.86/7.15 thf(zip_derived_cl11072, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0)
% 45.86/7.15 | (ssPv3 @ X0)
% 45.86/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv4 @ (skf1 @ X0)))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl11071, zip_derived_cl8393])).
% 45.86/7.15 thf(zip_derived_cl11145, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv1 @ X0)
% 45.86/7.15 | ~ (ssPv4 @ X0)
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.15 inference('sup+', [status(thm)], [zip_derived_cl644, zip_derived_cl11072])).
% 45.86/7.15 thf(zip_derived_cl5601, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv4 @ X0))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl5587, zip_derived_cl2352])).
% 45.86/7.15 thf(zip_derived_cl1421, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | ~ (ssPv1 @ X0)
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv4 @ X0))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1420])).
% 45.86/7.15 thf(zip_derived_cl5650, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv4 @ X0)
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv4 @ X0)
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | ~ (ssPv1 @ X0))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl5601, zip_derived_cl1421])).
% 45.86/7.15 thf(zip_derived_cl5669, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv1 @ X0)
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv4 @ X0))),
% 45.86/7.15 inference('simplify', [status(thm)], [zip_derived_cl5650])).
% 45.86/7.15 thf(zip_derived_cl11238, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | ~ (ssPv1 @ X0))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl11145, zip_derived_cl5669])).
% 45.86/7.15 thf(zip_derived_cl2295, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2294])).
% 45.86/7.15 thf(zip_derived_cl11239, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv1 @ X0)
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl11238, zip_derived_cl2295])).
% 45.86/7.15 thf(zip_derived_cl13902, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv4 @ X0))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl2297, zip_derived_cl11239])).
% 45.86/7.15 thf(zip_derived_cl1987, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv3 @ X0) | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))) | ~ (ssPv1 @ X0))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl1986, zip_derived_cl131])).
% 45.86/7.15 thf(zip_derived_cl13972, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv4 @ X0)
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.15 inference('sup-', [status(thm)],
% 45.86/7.15 [zip_derived_cl13902, zip_derived_cl1987])).
% 45.86/7.15 thf(zip_derived_cl697, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | ~ (ssPv1 @ X0)
% 45.86/7.15 | ~ (ssPv3 @ X0)
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl696])).
% 45.86/7.15 thf(zip_derived_cl13755, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv2 @ X0) | (ssPv4 @ (skf1 @ X0)) | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl13754, zip_derived_cl9197])).
% 45.86/7.15 thf(zip_derived_cl3126, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv2 @ X0)
% 45.86/7.15 | ~ (ssPv4 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl3102, zip_derived_cl2453])).
% 45.86/7.15 thf(zip_derived_cl3086, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv1 @ X0)
% 45.86/7.15 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3081])).
% 45.86/7.15 thf(zip_derived_cl3130, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | ~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ X0))),
% 45.86/7.15 inference('sup+', [status(thm)], [zip_derived_cl3126, zip_derived_cl3086])).
% 45.86/7.15 thf(zip_derived_cl13781, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('sup-', [status(thm)],
% 45.86/7.15 [zip_derived_cl13755, zip_derived_cl3130])).
% 45.86/7.15 thf(zip_derived_cl13842, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.15 inference('simplify', [status(thm)], [zip_derived_cl13781])).
% 45.86/7.15 thf(zip_derived_cl12863, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0))),
% 45.86/7.15 inference('clc', [status(thm)], [zip_derived_cl12862, zip_derived_cl5715])).
% 45.86/7.15 thf(zip_derived_cl14372, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('clc', [status(thm)],
% 45.86/7.15 [zip_derived_cl13842, zip_derived_cl12863])).
% 45.86/7.15 thf(zip_derived_cl764, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv3 @ X0)
% 45.86/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv4 @ X0))),
% 45.86/7.15 inference('simplify', [status(thm)], [zip_derived_cl761])).
% 45.86/7.15 thf(zip_derived_cl2348, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv2 @ X0))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2347])).
% 45.86/7.15 thf(zip_derived_cl2349, plain,
% 45.86/7.15 (![X0 : $i]:
% 45.86/7.15 ( (ssPv4 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.15 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.15 | (ssPv2 @ X0)
% 45.86/7.15 | (ssPv1 @ X0)
% 45.86/7.15 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.15 inference('sup-', [status(thm)], [zip_derived_cl764, zip_derived_cl2348])).
% 45.86/7.16 thf(zip_derived_cl3527, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv2 @ X0))),
% 45.86/7.16 inference('clc', [status(thm)], [zip_derived_cl3194, zip_derived_cl3447])).
% 45.86/7.16 thf(zip_derived_cl14226, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv1 @ X0)
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.16 inference('clc', [status(thm)], [zip_derived_cl2349, zip_derived_cl3527])).
% 45.86/7.16 thf(zip_derived_cl63, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv2 @ X0)
% 45.86/7.16 | ~ (ssPv4 @ X0)
% 45.86/7.16 | ~ (ssPv1 @ X0)
% 45.86/7.16 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.16 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl60])).
% 45.86/7.16 thf(zip_derived_cl6636, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv1 @ X0)
% 45.86/7.16 | (ssPv3 @ X0)
% 45.86/7.16 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.16 inference('simplify', [status(thm)], [zip_derived_cl6608])).
% 45.86/7.16 thf(zip_derived_cl6684, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 (~ (ssPv1 @ X0)
% 45.86/7.16 | ~ (ssPv4 @ X0)
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.16 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl6636])).
% 45.86/7.16 thf(zip_derived_cl1804, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 (~ (ssPv1 @ X0)
% 45.86/7.16 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv4 @ X0))),
% 45.86/7.16 inference('simplify', [status(thm)], [zip_derived_cl1795])).
% 45.86/7.16 thf(zip_derived_cl7800, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv1 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | ~ (ssPv1 @ X0))),
% 45.86/7.16 inference('clc', [status(thm)], [zip_derived_cl6684, zip_derived_cl1804])).
% 45.86/7.16 thf(zip_derived_cl5419, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv2 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.16 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | ~ (ssPv1 @ X0))),
% 45.86/7.16 inference('clc', [status(thm)], [zip_derived_cl5418, zip_derived_cl1804])).
% 45.86/7.16 thf(zip_derived_cl7801, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 (~ (ssPv1 @ X0)
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.16 inference('clc', [status(thm)], [zip_derived_cl7800, zip_derived_cl5419])).
% 45.86/7.16 thf(zip_derived_cl3859, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv2 @ X0))),
% 45.86/7.16 inference('simplify', [status(thm)], [zip_derived_cl3858])).
% 45.86/7.16 thf(zip_derived_cl7802, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv1 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | ~ (ssPv1 @ X0))),
% 45.86/7.16 inference('clc', [status(thm)], [zip_derived_cl7801, zip_derived_cl3859])).
% 45.86/7.16 thf(zip_derived_cl14227, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv1 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.16 inference('clc', [status(thm)], [zip_derived_cl14226, zip_derived_cl7802])).
% 45.86/7.16 thf(zip_derived_cl11185, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.16 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl11184])).
% 45.86/7.16 thf(zip_derived_cl14228, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.16 inference('clc', [status(thm)],
% 45.86/7.16 [zip_derived_cl14227, zip_derived_cl11185])).
% 45.86/7.16 thf(zip_derived_cl1366, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | ~ (ssPv1 @ X0)
% 45.86/7.16 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv4 @ X0))),
% 45.86/7.16 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1365])).
% 45.86/7.16 thf(zip_derived_cl14285, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv4 @ X0)
% 45.86/7.16 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | ~ (ssPv1 @ X0))),
% 45.86/7.16 inference('sup-', [status(thm)],
% 45.86/7.16 [zip_derived_cl14228, zip_derived_cl1366])).
% 45.86/7.16 thf(zip_derived_cl14343, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 (~ (ssPv1 @ X0)
% 45.86/7.16 | (ssPv4 @ X0)
% 45.86/7.16 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.16 inference('simplify', [status(thm)], [zip_derived_cl14285])).
% 45.86/7.16 thf(zip_derived_cl11922, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv2 @ X0)
% 45.86/7.16 | (ssPv3 @ X0)
% 45.86/7.16 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv4 @ (skf1 @ X0)))),
% 45.86/7.16 inference('clc', [status(thm)], [zip_derived_cl11921, zip_derived_cl9172])).
% 45.86/7.16 thf(zip_derived_cl63, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv2 @ X0)
% 45.86/7.16 | ~ (ssPv4 @ X0)
% 45.86/7.16 | ~ (ssPv1 @ X0)
% 45.86/7.16 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.16 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl60])).
% 45.86/7.16 thf(zip_derived_cl11947, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.16 | ~ (ssPv1 @ X0)
% 45.86/7.16 | ~ (ssPv4 @ X0)
% 45.86/7.16 | (ssPv2 @ X0))),
% 45.86/7.16 inference('sup-', [status(thm)], [zip_derived_cl11922, zip_derived_cl63])).
% 45.86/7.16 thf(zip_derived_cl644, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | ~ (ssPv4 @ X0)
% 45.86/7.16 | ~ (ssPv1 @ X0))),
% 45.86/7.16 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 45.86/7.16 thf(zip_derived_cl12158, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv2 @ X0)
% 45.86/7.16 | ~ (ssPv4 @ X0)
% 45.86/7.16 | ~ (ssPv1 @ X0)
% 45.86/7.16 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.16 inference('clc', [status(thm)], [zip_derived_cl11947, zip_derived_cl644])).
% 45.86/7.16 thf(zip_derived_cl2453, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.16 | ~ (ssPv4 @ X0)
% 45.86/7.16 | ~ (ssPv1 @ X0))),
% 45.86/7.16 inference('clc', [status(thm)], [zip_derived_cl2452, zip_derived_cl402])).
% 45.86/7.16 thf(zip_derived_cl12159, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | ~ (ssPv1 @ X0)
% 45.86/7.16 | ~ (ssPv4 @ X0)
% 45.86/7.16 | (ssPv2 @ X0))),
% 45.86/7.16 inference('clc', [status(thm)], [zip_derived_cl12158, zip_derived_cl2453])).
% 45.86/7.16 thf(zip_derived_cl14363, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | ~ (ssPv1 @ X0))),
% 45.86/7.16 inference('clc', [status(thm)],
% 45.86/7.16 [zip_derived_cl14343, zip_derived_cl12159])).
% 45.86/7.16 thf(zip_derived_cl14373, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.16 inference('clc', [status(thm)],
% 45.86/7.16 [zip_derived_cl14372, zip_derived_cl14363])).
% 45.86/7.16 thf(zip_derived_cl2479, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv3 @ X0)
% 45.86/7.16 | (ssPv4 @ X0))),
% 45.86/7.16 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2478])).
% 45.86/7.16 thf(zip_derived_cl14444, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv4 @ X0)
% 45.86/7.16 | (ssPv3 @ X0)
% 45.86/7.16 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.16 inference('sup-', [status(thm)],
% 45.86/7.16 [zip_derived_cl14373, zip_derived_cl2479])).
% 45.86/7.16 thf(zip_derived_cl14373, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.16 inference('clc', [status(thm)],
% 45.86/7.16 [zip_derived_cl14372, zip_derived_cl14363])).
% 45.86/7.16 thf(zip_derived_cl1465, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | ~ (ssPv3 @ X0)
% 45.86/7.16 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.16 | (ssPv2 @ X0))),
% 45.86/7.16 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1460])).
% 45.86/7.16 thf(zip_derived_cl14442, plain,
% 45.86/7.16 (![X0 : $i]:
% 45.86/7.16 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.16 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl14373, zip_derived_cl1465])).
% 45.86/7.17 thf(zip_derived_cl14465, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ X0)
% 45.86/7.17 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl14442])).
% 45.86/7.17 thf(zip_derived_cl14601, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl14444, zip_derived_cl14465])).
% 45.86/7.17 thf(zip_derived_cl14673, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv4 @ X0))),
% 45.86/7.17 inference('sup+', [status(thm)], [zip_derived_cl697, zip_derived_cl14601])).
% 45.86/7.17 thf(zip_derived_cl1987, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ X0) | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))) | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl1986, zip_derived_cl131])).
% 45.86/7.17 thf(zip_derived_cl14692, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl14673, zip_derived_cl1987])).
% 45.86/7.17 thf(zip_derived_cl12159, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl12158, zip_derived_cl2453])).
% 45.86/7.17 thf(zip_derived_cl14693, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl14692, zip_derived_cl12159])).
% 45.86/7.17 thf(zip_derived_cl14960, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl13972, zip_derived_cl14693])).
% 45.86/7.17 thf(zip_derived_cl13755, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0) | (ssPv4 @ (skf1 @ X0)) | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl13754, zip_derived_cl9197])).
% 45.86/7.17 thf(zip_derived_cl3086, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3081])).
% 45.86/7.17 thf(zip_derived_cl3859, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3858])).
% 45.86/7.17 thf(zip_derived_cl3863, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl3086, zip_derived_cl3859])).
% 45.86/7.17 thf(zip_derived_cl1547, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1546])).
% 45.86/7.17 thf(zip_derived_cl4293, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv2 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl3863, zip_derived_cl1547])).
% 45.86/7.17 thf(zip_derived_cl3086, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3081])).
% 45.86/7.17 thf(zip_derived_cl7314, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl4293, zip_derived_cl3086])).
% 45.86/7.17 thf(zip_derived_cl2348, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2347])).
% 45.86/7.17 thf(zip_derived_cl7315, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl7314, zip_derived_cl2348])).
% 45.86/7.17 thf(zip_derived_cl13819, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl13755, zip_derived_cl7315])).
% 45.86/7.17 thf(zip_derived_cl13857, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl13819])).
% 45.86/7.17 thf(zip_derived_cl14961, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl14960, zip_derived_cl13857])).
% 45.86/7.17 thf(zip_derived_cl15017, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv4 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl14572, zip_derived_cl14961])).
% 45.86/7.17 thf(zip_derived_cl2213, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2212])).
% 45.86/7.17 thf(zip_derived_cl13528, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl13467])).
% 45.86/7.17 thf(zip_derived_cl13543, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl2213, zip_derived_cl13528])).
% 45.86/7.17 thf(zip_derived_cl13549, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl13543])).
% 45.86/7.17 thf(zip_derived_cl2213, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2212])).
% 45.86/7.17 thf(zip_derived_cl210, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl208])).
% 45.86/7.17 thf(zip_derived_cl2228, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl2213, zip_derived_cl210])).
% 45.86/7.17 thf(zip_derived_cl651, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl645, zip_derived_cl644])).
% 45.86/7.17 thf(zip_derived_cl2621, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl2228, zip_derived_cl651])).
% 45.86/7.17 thf(zip_derived_cl634, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl633])).
% 45.86/7.17 thf(zip_derived_cl1884, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv4 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl1883])).
% 45.86/7.17 thf(zip_derived_cl1885, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl1884])).
% 45.86/7.17 thf(zip_derived_cl651, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl645, zip_derived_cl644])).
% 45.86/7.17 thf(zip_derived_cl2048, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl1885, zip_derived_cl651])).
% 45.86/7.17 thf(zip_derived_cl2622, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl2621, zip_derived_cl2048])).
% 45.86/7.17 thf(zip_derived_cl13672, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl13549, zip_derived_cl2622])).
% 45.86/7.17 thf(zip_derived_cl15107, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl15017, zip_derived_cl13672])).
% 45.86/7.17 thf(zip_derived_cl634, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl633])).
% 45.86/7.17 thf(zip_derived_cl15942, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl15107, zip_derived_cl634])).
% 45.86/7.17 thf(zip_derived_cl265, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv4 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl263])).
% 45.86/7.17 thf(zip_derived_cl15943, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl15942, zip_derived_cl265])).
% 45.86/7.17 thf(zip_derived_cl15944, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl1767, zip_derived_cl15943])).
% 45.86/7.17 thf(zip_derived_cl15952, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv4 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl15944])).
% 45.86/7.17 thf(zip_derived_cl1804, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv4 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl1795])).
% 45.86/7.17 thf(zip_derived_cl15954, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl15952, zip_derived_cl1804])).
% 45.86/7.17 thf(zip_derived_cl644, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 45.86/7.17 thf(zip_derived_cl15955, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl15954, zip_derived_cl644])).
% 45.86/7.17 thf(zip_derived_cl15961, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl1152, zip_derived_cl15955])).
% 45.86/7.17 thf(zip_derived_cl15977, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl15961])).
% 45.86/7.17 thf(zip_derived_cl13568, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl13548, zip_derived_cl13233])).
% 45.86/7.17 thf(zip_derived_cl15986, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl15977, zip_derived_cl13568])).
% 45.86/7.17 thf(zip_derived_cl2213, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2212])).
% 45.86/7.17 thf(zip_derived_cl15988, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0))),
% 45.86/7.17 inference('sup+', [status(thm)],
% 45.86/7.17 [zip_derived_cl15986, zip_derived_cl2213])).
% 45.86/7.17 thf(zip_derived_cl13074, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl13073, zip_derived_cl8333])).
% 45.86/7.17 thf(zip_derived_cl62, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl61])).
% 45.86/7.17 thf(zip_derived_cl13098, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl13074, zip_derived_cl62])).
% 45.86/7.17 thf(zip_derived_cl13139, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl13098])).
% 45.86/7.17 thf(zip_derived_cl63, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl60])).
% 45.86/7.17 thf(zip_derived_cl13074, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl13073, zip_derived_cl8333])).
% 45.86/7.17 thf(zip_derived_cl13127, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl13074])).
% 45.86/7.17 thf(zip_derived_cl13132, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl13127])).
% 45.86/7.17 thf(zip_derived_cl12159, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl12158, zip_derived_cl2453])).
% 45.86/7.17 thf(zip_derived_cl13155, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl13132, zip_derived_cl12159])).
% 45.86/7.17 thf(zip_derived_cl13183, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl13139, zip_derived_cl13155])).
% 45.86/7.17 thf(zip_derived_cl2453, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl2452, zip_derived_cl402])).
% 45.86/7.17 thf(zip_derived_cl13184, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl13183, zip_derived_cl2453])).
% 45.86/7.17 thf(zip_derived_cl15999, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl15988, zip_derived_cl13184])).
% 45.86/7.17 thf(zip_derived_cl13672, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl13549, zip_derived_cl2622])).
% 45.86/7.17 thf(zip_derived_cl16000, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl15999, zip_derived_cl13672])).
% 45.86/7.17 thf(zip_derived_cl2622, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl2621, zip_derived_cl2048])).
% 45.86/7.17 thf(zip_derived_cl14373, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl14372, zip_derived_cl14363])).
% 45.86/7.17 thf(zip_derived_cl14464, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup+', [status(thm)],
% 45.86/7.17 [zip_derived_cl2622, zip_derived_cl14373])).
% 45.86/7.17 thf(zip_derived_cl14373, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl14372, zip_derived_cl14363])).
% 45.86/7.17 thf(zip_derived_cl13568, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl13548, zip_derived_cl13233])).
% 45.86/7.17 thf(zip_derived_cl14413, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl14373, zip_derived_cl13568])).
% 45.86/7.17 thf(zip_derived_cl11185, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl11184])).
% 45.86/7.17 thf(zip_derived_cl14476, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0)) | (ssPv2 @ X0) | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl14413, zip_derived_cl11185])).
% 45.86/7.17 thf(zip_derived_cl15454, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl14464, zip_derived_cl14476])).
% 45.86/7.17 thf(zip_derived_cl651, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl645, zip_derived_cl644])).
% 45.86/7.17 thf(zip_derived_cl15455, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl15454, zip_derived_cl651])).
% 45.86/7.17 thf(zip_derived_cl16001, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl16000, zip_derived_cl15455])).
% 45.86/7.17 thf(zip_derived_cl21811, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl21710, zip_derived_cl16001])).
% 45.86/7.17 thf(zip_derived_cl21852, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl21811])).
% 45.86/7.17 thf(zip_derived_cl15455, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl15454, zip_derived_cl651])).
% 45.86/7.17 thf(zip_derived_cl21904, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl21852, zip_derived_cl15455])).
% 45.86/7.17 thf(zip_derived_cl22722, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl22622, zip_derived_cl21904])).
% 45.86/7.17 thf(zip_derived_cl644, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 45.86/7.17 thf(zip_derived_cl22824, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl22722, zip_derived_cl644])).
% 45.86/7.17 thf(zip_derived_cl21648, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv1 @ X0) | (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl21635, zip_derived_cl1987])).
% 45.86/7.17 thf(zip_derived_cl1884, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv4 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl1883])).
% 45.86/7.17 thf(zip_derived_cl21655, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl21648, zip_derived_cl1884])).
% 45.86/7.17 thf(zip_derived_cl1804, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv4 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl1795])).
% 45.86/7.17 thf(zip_derived_cl22062, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl21655, zip_derived_cl1804])).
% 45.86/7.17 thf(zip_derived_cl63, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl60])).
% 45.86/7.17 thf(zip_derived_cl21648, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv1 @ X0) | (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl21635, zip_derived_cl1987])).
% 45.86/7.17 thf(zip_derived_cl21706, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl21648])).
% 45.86/7.17 thf(zip_derived_cl13568, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl13548, zip_derived_cl13233])).
% 45.86/7.17 thf(zip_derived_cl21872, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl21706, zip_derived_cl13568])).
% 45.86/7.17 thf(zip_derived_cl14601, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl14444, zip_derived_cl14465])).
% 45.86/7.17 thf(zip_derived_cl15955, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl15954, zip_derived_cl644])).
% 45.86/7.17 thf(zip_derived_cl15972, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl14601, zip_derived_cl15955])).
% 45.86/7.17 thf(zip_derived_cl15983, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl15972])).
% 45.86/7.17 thf(zip_derived_cl14476, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0)) | (ssPv2 @ X0) | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl14413, zip_derived_cl11185])).
% 45.86/7.17 thf(zip_derived_cl16017, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl15983, zip_derived_cl14476])).
% 45.86/7.17 thf(zip_derived_cl12159, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl12158, zip_derived_cl2453])).
% 45.86/7.17 thf(zip_derived_cl16018, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0) | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl16017, zip_derived_cl12159])).
% 45.86/7.17 thf(zip_derived_cl21873, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0) | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl21872, zip_derived_cl16018])).
% 45.86/7.17 thf(zip_derived_cl22063, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv4 @ X0) | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl22062, zip_derived_cl21873])).
% 45.86/7.17 thf(zip_derived_cl22825, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0) | ~ (ssPv1 @ X0) | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl22824, zip_derived_cl22063])).
% 45.86/7.17 thf(zip_derived_cl23458, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0)
% 45.86/7.17 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl23125, zip_derived_cl23455])).
% 45.86/7.17 thf(zip_derived_cl24275, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('sup+', [status(thm)],
% 45.86/7.17 [zip_derived_cl22825, zip_derived_cl23458])).
% 45.86/7.17 thf(zip_derived_cl24278, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl24275])).
% 45.86/7.17 thf(zip_derived_cl21873, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0) | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl21872, zip_derived_cl16018])).
% 45.86/7.17 thf(zip_derived_cl24293, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0) | (ssPv2 @ X0) | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24278, zip_derived_cl21873])).
% 45.86/7.17 thf(zip_derived_cl24334, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24287, zip_derived_cl24293])).
% 45.86/7.17 thf(zip_derived_cl644, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 45.86/7.17 thf(zip_derived_cl901, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl896])).
% 45.86/7.17 thf(zip_derived_cl21648, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv1 @ X0) | (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl21635, zip_derived_cl1987])).
% 45.86/7.17 thf(zip_derived_cl21708, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup+', [status(thm)], [zip_derived_cl901, zip_derived_cl21648])).
% 45.86/7.17 thf(zip_derived_cl21711, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl21708])).
% 45.86/7.17 thf(zip_derived_cl22014, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup+', [status(thm)], [zip_derived_cl644, zip_derived_cl21711])).
% 45.86/7.17 thf(zip_derived_cl13568, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl13548, zip_derived_cl13233])).
% 45.86/7.17 thf(zip_derived_cl22074, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl22014, zip_derived_cl13568])).
% 45.86/7.17 thf(zip_derived_cl8822, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl8821, zip_derived_cl1987])).
% 45.86/7.17 thf(zip_derived_cl22075, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl22074, zip_derived_cl8822])).
% 45.86/7.17 thf(zip_derived_cl16018, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0) | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl16017, zip_derived_cl12159])).
% 45.86/7.17 thf(zip_derived_cl22076, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv2 @ X0) | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl22075, zip_derived_cl16018])).
% 45.86/7.17 thf(zip_derived_cl21648, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv1 @ X0) | (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl21635, zip_derived_cl1987])).
% 45.86/7.17 thf(zip_derived_cl62, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl61])).
% 45.86/7.17 thf(zip_derived_cl21673, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl21648, zip_derived_cl62])).
% 45.86/7.17 thf(zip_derived_cl3126, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl3102, zip_derived_cl2453])).
% 45.86/7.17 thf(zip_derived_cl21858, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl21673, zip_derived_cl3126])).
% 45.86/7.17 thf(zip_derived_cl22098, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl22076, zip_derived_cl21858])).
% 45.86/7.17 thf(zip_derived_cl22141, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl22098])).
% 45.86/7.17 thf(zip_derived_cl24363, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl24334, zip_derived_cl22141])).
% 45.86/7.17 thf(zip_derived_cl24334, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24287, zip_derived_cl24293])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl9, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssPv2 @ X2)
% 45.86/7.17 | ~ (ssRr @ X0 @ X2)
% 45.86/7.17 | ~ (ssRr @ X0 @ X3)
% 45.86/7.17 | ~ (ssRr @ X3 @ X1)
% 45.86/7.17 | ~ (ssRr @ X0 @ X4)
% 45.86/7.17 | ~ (ssPv3 @ X5)
% 45.86/7.17 | ~ (ssRr @ X4 @ X5))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_16])).
% 45.86/7.17 thf(zip_derived_cl439, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.86/7.17 (~ (ssRr @ X3 @ X2)
% 45.86/7.17 | ~ (ssPv3 @ X2)
% 45.86/7.17 | ~ (ssRr @ X1 @ X3)
% 45.86/7.17 | ~ (ssRr @ X0 @ X4)
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ X4)
% 45.86/7.17 | (ssPv2 @ X1))),
% 45.86/7.17 inference('eq_fact', [status(thm)], [zip_derived_cl9])).
% 45.86/7.17 thf(zip_derived_cl1894, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.86/7.17 ( (ssPv2 @ X2)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ X1)
% 45.86/7.17 | ~ (ssRr @ X2 @ X1)
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssRr @ X2 @ X1)
% 45.86/7.17 | ~ (ssPv3 @ X0))),
% 45.86/7.17 inference('eq_fact', [status(thm)], [zip_derived_cl439])).
% 45.86/7.17 thf(zip_derived_cl1896, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.86/7.17 (~ (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssRr @ X2 @ X1)
% 45.86/7.17 | ~ (ssPv2 @ X1)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ X2))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl1894])).
% 45.86/7.17 thf(zip_derived_cl1897, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 ( (ssPv2 @ X1)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1896])).
% 45.86/7.17 thf(zip_derived_cl1899, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1897])).
% 45.86/7.17 thf(zip_derived_cl24398, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl24334, zip_derived_cl1899])).
% 45.86/7.17 thf(zip_derived_cl24433, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl24398])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl21710, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl21704])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl439, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.86/7.17 (~ (ssRr @ X3 @ X2)
% 45.86/7.17 | ~ (ssPv3 @ X2)
% 45.86/7.17 | ~ (ssRr @ X1 @ X3)
% 45.86/7.17 | ~ (ssRr @ X0 @ X4)
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ X4)
% 45.86/7.17 | (ssPv2 @ X1))),
% 45.86/7.17 inference('eq_fact', [status(thm)], [zip_derived_cl9])).
% 45.86/7.17 thf(zip_derived_cl1892, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.86/7.17 ( (ssPv2 @ X1)
% 45.86/7.17 | (ssPv1 @ X2)
% 45.86/7.17 | ~ (ssPv2 @ X3)
% 45.86/7.17 | ~ (ssRr @ X1 @ X3)
% 45.86/7.17 | ~ (ssRr @ X3 @ X2)
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl439])).
% 45.86/7.17 thf(zip_derived_cl2011, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssRr @ X0 @ X2)
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ X2)
% 45.86/7.17 | (ssPv2 @ X1))),
% 45.86/7.17 inference('eq_fact', [status(thm)], [zip_derived_cl1892])).
% 45.86/7.17 thf(zip_derived_cl21745, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | (ssPv2 @ X1)
% 45.86/7.17 | (ssPv1 @ X2)
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssRr @ X0 @ X2)
% 45.86/7.17 | ~ (ssRr @ X1 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl21710, zip_derived_cl2011])).
% 45.86/7.17 thf(zip_derived_cl22076, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv2 @ X0) | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl22075, zip_derived_cl16018])).
% 45.86/7.17 thf(zip_derived_cl23502, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.86/7.17 (~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssRr @ X0 @ X2)
% 45.86/7.17 | (ssPv1 @ X2)
% 45.86/7.17 | (ssPv2 @ X1)
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl21745, zip_derived_cl22076])).
% 45.86/7.17 thf(zip_derived_cl23503, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssRr @ (skf1 @ X0) @ X1))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl23502])).
% 45.86/7.17 thf(zip_derived_cl23125, plain,
% 45.86/7.17 (![X0 : $i]: ( (ssPv4 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl23124, zip_derived_cl23080])).
% 45.86/7.17 thf(zip_derived_cl23505, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 (~ (ssRr @ (skf1 @ X0) @ X1)
% 45.86/7.17 | (ssPv1 @ X1)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl23503, zip_derived_cl23125])).
% 45.86/7.17 thf(zip_derived_cl14476, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0)) | (ssPv2 @ X0) | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl14413, zip_derived_cl11185])).
% 45.86/7.17 thf(zip_derived_cl23506, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssRr @ (skf1 @ X0) @ X1))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl23505, zip_derived_cl14476])).
% 45.86/7.17 thf(zip_derived_cl23507, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl23506])).
% 45.86/7.17 thf(zip_derived_cl24483, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24433, zip_derived_cl23507])).
% 45.86/7.17 thf(zip_derived_cl24631, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24363, zip_derived_cl24483])).
% 45.86/7.17 thf(zip_derived_cl23125, plain,
% 45.86/7.17 (![X0 : $i]: ( (ssPv4 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl23124, zip_derived_cl23080])).
% 45.86/7.17 thf(zip_derived_cl24632, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0) | (ssPv1 @ (skf1 @ X0)) | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24631, zip_derived_cl23125])).
% 45.86/7.17 thf(zip_derived_cl24640, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl16589, zip_derived_cl24632])).
% 45.86/7.17 thf(zip_derived_cl24646, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl24640])).
% 45.86/7.17 thf(zip_derived_cl24483, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24433, zip_derived_cl23507])).
% 45.86/7.17 thf(zip_derived_cl24649, plain,
% 45.86/7.17 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24646, zip_derived_cl24483])).
% 45.86/7.17 thf(zip_derived_cl1152, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1141])).
% 45.86/7.17 thf(zip_derived_cl22825, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0) | ~ (ssPv1 @ X0) | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl22824, zip_derived_cl22063])).
% 45.86/7.17 thf(zip_derived_cl22850, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl1152, zip_derived_cl22825])).
% 45.86/7.17 thf(zip_derived_cl22866, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl22850])).
% 45.86/7.17 thf(zip_derived_cl16018, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0) | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl16017, zip_derived_cl12159])).
% 45.86/7.17 thf(zip_derived_cl22879, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0) | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))) | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl22866, zip_derived_cl16018])).
% 45.86/7.17 thf(zip_derived_cl24649, plain,
% 45.86/7.17 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24646, zip_derived_cl24483])).
% 45.86/7.17 thf(zip_derived_cl24757, plain,
% 45.86/7.17 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv1 @ X0) | (ssPv2 @ X0))),
% 45.86/7.17 inference('sup+', [status(thm)],
% 45.86/7.17 [zip_derived_cl22879, zip_derived_cl24649])).
% 45.86/7.17 thf(zip_derived_cl24760, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl24757])).
% 45.86/7.17 thf(zip_derived_cl13184, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl13183, zip_derived_cl2453])).
% 45.86/7.17 thf(zip_derived_cl24782, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl24760, zip_derived_cl13184])).
% 45.86/7.17 thf(zip_derived_cl24826, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv4 @ X0) | ~ (ssPv1 @ X0) | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl24782])).
% 45.86/7.17 thf(zip_derived_cl24830, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0) | ~ (ssPv1 @ (skf1 @ X0)) | ~ (ssPv4 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl24649, zip_derived_cl24826])).
% 45.86/7.17 thf(zip_derived_cl23125, plain,
% 45.86/7.17 (![X0 : $i]: ( (ssPv4 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl23124, zip_derived_cl23080])).
% 45.86/7.17 thf(zip_derived_cl24836, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv1 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24830, zip_derived_cl23125])).
% 45.86/7.17 thf(zip_derived_cl24649, plain,
% 45.86/7.17 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24646, zip_derived_cl24483])).
% 45.86/7.17 thf(zip_derived_cl24838, plain,
% 45.86/7.17 (![X0 : $i]: ( (ssPv2 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 45.86/7.17 inference('sup+', [status(thm)],
% 45.86/7.17 [zip_derived_cl24836, zip_derived_cl24649])).
% 45.86/7.17 thf(zip_derived_cl24649, plain,
% 45.86/7.17 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24646, zip_derived_cl24483])).
% 45.86/7.17 thf(zip_derived_cl24760, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl24757])).
% 45.86/7.17 thf(zip_derived_cl21858, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl21673, zip_derived_cl3126])).
% 45.86/7.17 thf(zip_derived_cl24785, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl24760, zip_derived_cl21858])).
% 45.86/7.17 thf(zip_derived_cl24827, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl24785])).
% 45.86/7.17 thf(zip_derived_cl24832, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0) | ~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl24649, zip_derived_cl24827])).
% 45.86/7.17 thf(zip_derived_cl23125, plain,
% 45.86/7.17 (![X0 : $i]: ( (ssPv4 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl23124, zip_derived_cl23080])).
% 45.86/7.17 thf(zip_derived_cl24841, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv2 @ (skf1 @ X0)) | (ssPv2 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24832, zip_derived_cl23125])).
% 45.86/7.17 thf(zip_derived_cl24877, plain, (![X0 : $i]: (ssPv2 @ X0)),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24838, zip_derived_cl24841])).
% 45.86/7.17 thf(zip_derived_cl24877, plain, (![X0 : $i]: (ssPv2 @ X0)),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24838, zip_derived_cl24841])).
% 45.86/7.17 thf(zip_derived_cl24877, plain, (![X0 : $i]: (ssPv2 @ X0)),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24838, zip_derived_cl24841])).
% 45.86/7.17 thf(zip_derived_cl24893, plain, (![X0 : $i]: ~ (ssPv4 @ X0)),
% 45.86/7.17 inference('demod', [status(thm)],
% 45.86/7.17 [zip_derived_cl62, zip_derived_cl24877, zip_derived_cl24877,
% 45.86/7.17 zip_derived_cl24877])).
% 45.86/7.17 thf(zip_derived_cl25152, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('demod', [status(thm)],
% 45.86/7.17 [zip_derived_cl1366, zip_derived_cl24893])).
% 45.86/7.17 thf(zip_derived_cl454, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl450])).
% 45.86/7.17 thf(zip_derived_cl24877, plain, (![X0 : $i]: (ssPv2 @ X0)),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24838, zip_derived_cl24841])).
% 45.86/7.17 thf(zip_derived_cl24947, plain,
% 45.86/7.17 (![X0 : $i]: ( (ssPv4 @ (skf1 @ X0)) | (ssPv1 @ X0) | (ssPv3 @ X0))),
% 45.86/7.17 inference('demod', [status(thm)],
% 45.86/7.17 [zip_derived_cl454, zip_derived_cl24877])).
% 45.86/7.17 thf(zip_derived_cl24893, plain, (![X0 : $i]: ~ (ssPv4 @ X0)),
% 45.86/7.17 inference('demod', [status(thm)],
% 45.86/7.17 [zip_derived_cl62, zip_derived_cl24877, zip_derived_cl24877,
% 45.86/7.17 zip_derived_cl24877])).
% 45.86/7.17 thf(zip_derived_cl25409, plain,
% 45.86/7.17 (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24947, zip_derived_cl24893])).
% 45.86/7.17 thf(zip_derived_cl3122, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3106])).
% 45.86/7.17 thf(zip_derived_cl634, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl633])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl3086, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3081])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl32, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ X1)
% 45.86/7.17 | ~ (ssRr @ X0 @ X1)
% 45.86/7.17 | ~ (ssRr @ X0 @ X2)
% 45.86/7.17 | ~ (ssPv2 @ X3)
% 45.86/7.17 | ~ (ssRr @ X2 @ X3))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_2])).
% 45.86/7.17 thf(zip_derived_cl59, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.86/7.17 (~ (ssRr @ X2 @ X1)
% 45.86/7.17 | ~ (ssPv2 @ X1)
% 45.86/7.17 | ~ (ssRr @ X0 @ X2)
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl32])).
% 45.86/7.17 thf(zip_derived_cl70, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X1)
% 45.86/7.17 | ~ (ssPv2 @ X1)
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X1))
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl59])).
% 45.86/7.17 thf(zip_derived_cl3099, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X1))
% 45.86/7.17 | ~ (ssRr @ (skf1 @ X0) @ X1)
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl3086, zip_derived_cl70])).
% 45.86/7.17 thf(zip_derived_cl3213, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3099])).
% 45.86/7.17 thf(zip_derived_cl3215, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl3213])).
% 45.86/7.17 thf(zip_derived_cl3218, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3215])).
% 45.86/7.17 thf(zip_derived_cl644, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 45.86/7.17 thf(zip_derived_cl3229, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl3218, zip_derived_cl644])).
% 45.86/7.17 thf(zip_derived_cl3231, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl3122, zip_derived_cl3229])).
% 45.86/7.17 thf(zip_derived_cl3863, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl3086, zip_derived_cl3859])).
% 45.86/7.17 thf(zip_derived_cl13155, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl13132, zip_derived_cl12159])).
% 45.86/7.17 thf(zip_derived_cl13167, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl3863, zip_derived_cl13155])).
% 45.86/7.17 thf(zip_derived_cl13175, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl13167])).
% 45.86/7.17 thf(zip_derived_cl13857, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl13819])).
% 45.86/7.17 thf(zip_derived_cl15331, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl13175, zip_derived_cl13857])).
% 45.86/7.17 thf(zip_derived_cl3130, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0))),
% 45.86/7.17 inference('sup+', [status(thm)], [zip_derived_cl3126, zip_derived_cl3086])).
% 45.86/7.17 thf(zip_derived_cl15332, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl15331, zip_derived_cl3130])).
% 45.86/7.17 thf(zip_derived_cl19507, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl3231, zip_derived_cl15332])).
% 45.86/7.17 thf(zip_derived_cl3086, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3081])).
% 45.86/7.17 thf(zip_derived_cl3086, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3081])).
% 45.86/7.17 thf(zip_derived_cl2706, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2700])).
% 45.86/7.17 thf(zip_derived_cl3112, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl3086, zip_derived_cl2706])).
% 45.86/7.17 thf(zip_derived_cl3123, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3112])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl3122, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3106])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl33, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.86/7.17 ( (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X1)
% 45.86/7.17 | ~ (ssRr @ X0 @ X1)
% 45.86/7.17 | ~ (ssRr @ X0 @ X2)
% 45.86/7.17 | ~ (ssPv4 @ X3)
% 45.86/7.17 | ~ (ssRr @ X2 @ X3))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_18])).
% 45.86/7.17 thf(zip_derived_cl81, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.86/7.17 (~ (ssRr @ X2 @ X1)
% 45.86/7.17 | ~ (ssPv4 @ X1)
% 45.86/7.17 | ~ (ssRr @ X0 @ X2)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl33])).
% 45.86/7.17 thf(zip_derived_cl92, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 ( (ssPv3 @ X1)
% 45.86/7.17 | ~ (ssPv2 @ X1)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X1))
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl81])).
% 45.86/7.17 thf(zip_derived_cl3149, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X1))
% 45.86/7.17 | ~ (ssRr @ X0 @ X1)
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl3122, zip_derived_cl92])).
% 45.86/7.17 thf(zip_derived_cl3189, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 (~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssRr @ X0 @ X1)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ X1))
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3149])).
% 45.86/7.17 thf(zip_derived_cl3219, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv2 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3189])).
% 45.86/7.17 thf(zip_derived_cl3281, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl3123, zip_derived_cl3219])).
% 45.86/7.17 thf(zip_derived_cl3296, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3281])).
% 45.86/7.17 thf(zip_derived_cl3301, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl3086, zip_derived_cl3296])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl3122, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3106])).
% 45.86/7.17 thf(zip_derived_cl634, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl633])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl18, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.86/7.17 ( (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X1)
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssRr @ X1 @ X2)
% 45.86/7.17 | ~ (ssRr @ X2 @ X0)
% 45.86/7.17 | ~ (ssRr @ X1 @ X3)
% 45.86/7.17 | ~ (ssPv2 @ X4)
% 45.86/7.17 | ~ (ssRr @ X3 @ X4))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_34])).
% 45.86/7.17 thf(zip_derived_cl824, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.86/7.17 (~ (ssRr @ X0 @ X2)
% 45.86/7.17 | ~ (ssPv2 @ X2)
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssRr @ X0 @ X3)
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssPv3 @ X1)
% 45.86/7.17 | (ssPv3 @ X3))),
% 45.86/7.17 inference('eq_fact', [status(thm)], [zip_derived_cl18])).
% 45.86/7.17 thf(zip_derived_cl828, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.86/7.17 ( (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X2)
% 45.86/7.17 | ~ (ssPv1 @ X2)
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssRr @ X2 @ X1)
% 45.86/7.17 | ~ (ssPv2 @ X0))),
% 45.86/7.17 inference('eq_fact', [status(thm)], [zip_derived_cl824])).
% 45.86/7.17 thf(zip_derived_cl833, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssPv3 @ X1)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl828])).
% 45.86/7.17 thf(zip_derived_cl837, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ X1)
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssRr @ X1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl833])).
% 45.86/7.17 thf(zip_derived_cl3165, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssPv3 @ X1)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl3122, zip_derived_cl837])).
% 45.86/7.17 thf(zip_derived_cl3190, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X1)
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3165])).
% 45.86/7.17 thf(zip_derived_cl3122, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3106])).
% 45.86/7.17 thf(zip_derived_cl7315, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl7314, zip_derived_cl2348])).
% 45.86/7.17 thf(zip_derived_cl7317, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl3122, zip_derived_cl7315])).
% 45.86/7.17 thf(zip_derived_cl7329, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl7317])).
% 45.86/7.17 thf(zip_derived_cl3296, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3281])).
% 45.86/7.17 thf(zip_derived_cl7451, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl7329, zip_derived_cl3296])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl14, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.86/7.17 (~ (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssRr @ X0 @ X1)
% 45.86/7.17 | ~ (ssPv1 @ X2)
% 45.86/7.17 | ~ (ssRr @ X1 @ X2)
% 45.86/7.17 | ~ (ssRr @ X0 @ X3)
% 45.86/7.17 | ~ (ssPv3 @ X4)
% 45.86/7.17 | ~ (ssRr @ X3 @ X4))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_35])).
% 45.86/7.17 thf(zip_derived_cl99, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.86/7.17 (~ (ssRr @ X0 @ X2)
% 45.86/7.17 | ~ (ssPv3 @ X2)
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssRr @ X0 @ X3)
% 45.86/7.17 | ~ (ssPv1 @ X3)
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssPv3 @ X1))),
% 45.86/7.17 inference('eq_fact', [status(thm)], [zip_derived_cl14])).
% 45.86/7.17 thf(zip_derived_cl107, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.86/7.17 (~ (ssPv3 @ X2)
% 45.86/7.17 | ~ (ssPv1 @ X2)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssRr @ X2 @ X1)
% 45.86/7.17 | ~ (ssPv3 @ X0))),
% 45.86/7.17 inference('eq_fact', [status(thm)], [zip_derived_cl99])).
% 45.86/7.17 thf(zip_derived_cl117, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssPv3 @ X1))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl107])).
% 45.86/7.17 thf(zip_derived_cl7463, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 ( (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ X1)
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssRr @ X1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl7451, zip_derived_cl117])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(clause36, conjecture,
% 45.86/7.17 (~( ( ssPv1 @ W ) | ( ssPv3 @ Z ) | ( ssPv1 @ Y ) | ( ssPv4 @ V ) |
% 45.86/7.17 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) |
% 45.86/7.17 ( ~( ssRr @ X @ Y ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.86/7.17 thf(zf_stmt_39, negated_conjecture,
% 45.86/7.17 (( ssPv1 @ W ) | ( ssPv3 @ Z ) | ( ssPv1 @ Y ) | ( ssPv4 @ V ) |
% 45.86/7.17 ( ~( ssRr @ W @ Z ) ) | ( ~( ssRr @ W @ X ) ) | ( ~( ssRr @ X @ Y ) ) |
% 45.86/7.17 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 45.86/7.17 inference('cnf.neg', [status(esa)], [clause36])).
% 45.86/7.17 thf(zip_derived_cl15, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.86/7.17 ( (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ X1)
% 45.86/7.17 | (ssPv1 @ X2)
% 45.86/7.17 | (ssPv4 @ X3)
% 45.86/7.17 | ~ (ssRr @ X0 @ X1)
% 45.86/7.17 | ~ (ssRr @ X0 @ X4)
% 45.86/7.17 | ~ (ssRr @ X4 @ X2)
% 45.86/7.17 | ~ (ssRr @ X0 @ X5)
% 45.86/7.17 | ~ (ssRr @ X5 @ X3))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_39])).
% 45.86/7.17 thf(zip_derived_cl736, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.86/7.17 (~ (ssRr @ X2 @ X1)
% 45.86/7.17 | ~ (ssRr @ X0 @ X2)
% 45.86/7.17 | ~ (ssRr @ X4 @ X3)
% 45.86/7.17 | ~ (ssRr @ X0 @ X4)
% 45.86/7.17 | (ssPv4 @ X1)
% 45.86/7.17 | (ssPv1 @ X3)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl15])).
% 45.86/7.17 thf(zip_derived_cl3749, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.86/7.17 ( (ssPv1 @ X2)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X2))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssRr @ X2 @ X1)
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssRr @ X2 @ X1))),
% 45.86/7.17 inference('eq_fact', [status(thm)], [zip_derived_cl736])).
% 45.86/7.17 thf(zip_derived_cl3751, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.86/7.17 (~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssRr @ X2 @ X1)
% 45.86/7.17 | (ssPv4 @ X0)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X2))
% 45.86/7.17 | (ssPv1 @ X2))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3749])).
% 45.86/7.17 thf(zip_derived_cl3752, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 ( (ssPv1 @ X1)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X1))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssRr @ X1 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3751])).
% 45.86/7.17 thf(zip_derived_cl3758, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3752])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl17, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.86/7.17 ( (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X1)
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssRr @ X1 @ X2)
% 45.86/7.17 | ~ (ssRr @ X2 @ X0)
% 45.86/7.17 | ~ (ssRr @ X1 @ X3)
% 45.86/7.17 | ~ (ssPv4 @ X4)
% 45.86/7.17 | ~ (ssRr @ X3 @ X4))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_37])).
% 45.86/7.17 thf(zip_derived_cl664, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.86/7.17 (~ (ssRr @ X0 @ X2)
% 45.86/7.17 | ~ (ssPv4 @ X2)
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssRr @ X0 @ X3)
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssPv3 @ X1)
% 45.86/7.17 | (ssPv1 @ X3))),
% 45.86/7.17 inference('eq_fact', [status(thm)], [zip_derived_cl17])).
% 45.86/7.17 thf(zip_derived_cl668, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.86/7.17 ( (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X2)
% 45.86/7.17 | ~ (ssPv1 @ X2)
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssRr @ X2 @ X1)
% 45.86/7.17 | ~ (ssPv4 @ X0))),
% 45.86/7.17 inference('eq_fact', [status(thm)], [zip_derived_cl664])).
% 45.86/7.17 thf(zip_derived_cl673, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssPv3 @ X1)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl668])).
% 45.86/7.17 thf(zip_derived_cl3766, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 ( (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ X1)
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssRr @ X1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl3758, zip_derived_cl673])).
% 45.86/7.17 thf(zip_derived_cl3814, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 (~ (ssRr @ X1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssPv3 @ X1)
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3766])).
% 45.86/7.17 thf(zip_derived_cl7560, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 (~ (ssRr @ X1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssPv3 @ X1)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl7463, zip_derived_cl3814])).
% 45.86/7.17 thf(zip_derived_cl10673, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssRr @ X1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X1)
% 45.86/7.17 | ~ (ssPv3 @ X1)
% 45.86/7.17 | ~ (ssPv4 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl3190, zip_derived_cl7560])).
% 45.86/7.17 thf(zip_derived_cl10674, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl10673])).
% 45.86/7.17 thf(zip_derived_cl3122, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3106])).
% 45.86/7.17 thf(zip_derived_cl697, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl696])).
% 45.86/7.17 thf(zip_derived_cl3164, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl3122, zip_derived_cl697])).
% 45.86/7.17 thf(zip_derived_cl1987, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ X0) | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))) | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl1986, zip_derived_cl131])).
% 45.86/7.17 thf(zip_derived_cl4110, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl3164, zip_derived_cl1987])).
% 45.86/7.17 thf(zip_derived_cl10676, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl10674, zip_derived_cl4110])).
% 45.86/7.17 thf(zip_derived_cl7451, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl7329, zip_derived_cl3296])).
% 45.86/7.17 thf(zip_derived_cl10677, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl10676, zip_derived_cl7451])).
% 45.86/7.17 thf(zip_derived_cl19093, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl3301, zip_derived_cl10677])).
% 45.86/7.17 thf(zip_derived_cl265, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv4 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl263])).
% 45.86/7.17 thf(zip_derived_cl19160, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl19093, zip_derived_cl265])).
% 45.86/7.17 thf(zip_derived_cl19200, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl19160])).
% 45.86/7.17 thf(zip_derived_cl19508, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl19507, zip_derived_cl19200])).
% 45.86/7.17 thf(zip_derived_cl7451, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl7329, zip_derived_cl3296])).
% 45.86/7.17 thf(zip_derived_cl19509, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl19508, zip_derived_cl7451])).
% 45.86/7.17 thf(zip_derived_cl296, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv4 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl291])).
% 45.86/7.17 thf(zip_derived_cl19525, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl19509, zip_derived_cl296])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl9197, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0)
% 45.86/7.17 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl9145, zip_derived_cl7812])).
% 45.86/7.17 thf(zip_derived_cl2177, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssRr @ X1 @ X0)
% 45.86/7.17 | (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv2 @ X1))),
% 45.86/7.17 inference('eq_fact', [status(thm)], [zip_derived_cl2163])).
% 45.86/7.17 thf(zip_derived_cl9218, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv2 @ X1)
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssRr @ X1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl9197, zip_derived_cl2177])).
% 45.86/7.17 thf(zip_derived_cl9292, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 (~ (ssRr @ X1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X1)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl9218])).
% 45.86/7.17 thf(zip_derived_cl10128, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl9292])).
% 45.86/7.17 thf(zip_derived_cl10129, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl10128])).
% 45.86/7.17 thf(zip_derived_cl2706, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2700])).
% 45.86/7.17 thf(zip_derived_cl10163, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl10129, zip_derived_cl2706])).
% 45.86/7.17 thf(zip_derived_cl10210, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl10163])).
% 45.86/7.17 thf(zip_derived_cl644, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl643])).
% 45.86/7.17 thf(zip_derived_cl10318, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl10210, zip_derived_cl644])).
% 45.86/7.17 thf(zip_derived_cl2453, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv2 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl2452, zip_derived_cl402])).
% 45.86/7.17 thf(zip_derived_cl10898, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl10318, zip_derived_cl2453])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(zip_derived_cl50, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.86/7.17 thf(clause2, conjecture,
% 45.86/7.17 (~( ( ssPv3 @ W ) | ( ssPv3 @ V ) | ( ~( ssPv4 @ W ) ) |
% 45.86/7.17 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 45.86/7.17 thf(zf_stmt_40, negated_conjecture,
% 45.86/7.17 (( ssPv3 @ W ) | ( ssPv3 @ V ) | ( ~( ssPv4 @ W ) ) | ( ~( ssPv2 @ W ) ) |
% 45.86/7.17 ( ~( ssRr @ W @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 45.86/7.17 inference('cnf.neg', [status(esa)], [clause2])).
% 45.86/7.17 thf(zip_derived_cl49, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.86/7.17 ( (ssPv3 @ X0)
% 45.86/7.17 | (ssPv3 @ X1)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssRr @ X0 @ X2)
% 45.86/7.17 | ~ (ssRr @ X2 @ X1))),
% 45.86/7.17 inference('cnf', [status(esa)], [zf_stmt_40])).
% 45.86/7.17 thf(zip_derived_cl76, plain,
% 45.86/7.17 (![X0 : $i, X1 : $i]:
% 45.86/7.17 (~ (ssRr @ (skf1 @ X0) @ X1)
% 45.86/7.17 | ~ (ssPv2 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv3 @ X1)
% 45.86/7.17 | (ssPv3 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl49])).
% 45.86/7.17 thf(zip_derived_cl80, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv4 @ X0)
% 45.86/7.17 | ~ (ssPv2 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl76])).
% 45.86/7.17 thf(zip_derived_cl10899, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv4 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl10898, zip_derived_cl80])).
% 45.86/7.17 thf(zip_derived_cl3123, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3112])).
% 45.86/7.17 thf(zip_derived_cl2348, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv2 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2347])).
% 45.86/7.17 thf(zip_derived_cl3278, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl3123, zip_derived_cl2348])).
% 45.86/7.17 thf(zip_derived_cl3295, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3278])).
% 45.86/7.17 thf(zip_derived_cl3296, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ X0)
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl3281])).
% 45.86/7.17 thf(zip_derived_cl3389, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl3295, zip_derived_cl3296])).
% 45.86/7.17 thf(zip_derived_cl10900, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl10899, zip_derived_cl3389])).
% 45.86/7.17 thf(zip_derived_cl20401, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl19525, zip_derived_cl10900])).
% 45.86/7.17 thf(zip_derived_cl3389, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl3295, zip_derived_cl3296])).
% 45.86/7.17 thf(zip_derived_cl20402, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl20401, zip_derived_cl3389])).
% 45.86/7.17 thf(zip_derived_cl1421, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv4 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1420])).
% 45.86/7.17 thf(zip_derived_cl20471, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl20402, zip_derived_cl1421])).
% 45.86/7.17 thf(zip_derived_cl15332, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv4 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl15331, zip_derived_cl3130])).
% 45.86/7.17 thf(zip_derived_cl20743, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl20471, zip_derived_cl15332])).
% 45.86/7.17 thf(zip_derived_cl7451, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl7329, zip_derived_cl3296])).
% 45.86/7.17 thf(zip_derived_cl20744, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl20743, zip_derived_cl7451])).
% 45.86/7.17 thf(zip_derived_cl20402, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ (skf1 @ X0)))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl20401, zip_derived_cl3389])).
% 45.86/7.17 thf(zip_derived_cl13568, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl13548, zip_derived_cl13233])).
% 45.86/7.17 thf(zip_derived_cl20436, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | ~ (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl20402, zip_derived_cl13568])).
% 45.86/7.17 thf(zip_derived_cl19509, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('clc', [status(thm)], [zip_derived_cl19508, zip_derived_cl7451])).
% 45.86/7.17 thf(zip_derived_cl20524, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ (skf1 @ (skf1 @ (skf1 @ X0))))
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl20436, zip_derived_cl19509])).
% 45.86/7.17 thf(zip_derived_cl20745, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl20744, zip_derived_cl20524])).
% 45.86/7.17 thf(zip_derived_cl1023, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1021])).
% 45.86/7.17 thf(zip_derived_cl24877, plain, (![X0 : $i]: (ssPv2 @ X0)),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24838, zip_derived_cl24841])).
% 45.86/7.17 thf(zip_derived_cl24982, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('demod', [status(thm)],
% 45.86/7.17 [zip_derived_cl1023, zip_derived_cl24877])).
% 45.86/7.17 thf(zip_derived_cl901, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl896])).
% 45.86/7.17 thf(zip_derived_cl24877, plain, (![X0 : $i]: (ssPv2 @ X0)),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24838, zip_derived_cl24841])).
% 45.86/7.17 thf(zip_derived_cl24972, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | (ssPv4 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('demod', [status(thm)],
% 45.86/7.17 [zip_derived_cl901, zip_derived_cl24877])).
% 45.86/7.17 thf(zip_derived_cl24893, plain, (![X0 : $i]: ~ (ssPv4 @ X0)),
% 45.86/7.17 inference('demod', [status(thm)],
% 45.86/7.17 [zip_derived_cl62, zip_derived_cl24877, zip_derived_cl24877,
% 45.86/7.17 zip_derived_cl24877])).
% 45.86/7.17 thf(zip_derived_cl25389, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24972, zip_derived_cl24893])).
% 45.86/7.17 thf(zip_derived_cl25394, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24982, zip_derived_cl25389])).
% 45.86/7.17 thf(zip_derived_cl25395, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv3 @ (skf1 @ X0)) | (ssPv1 @ X0) | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl20745, zip_derived_cl25394])).
% 45.86/7.17 thf(zip_derived_cl847, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv2 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl846])).
% 45.86/7.17 thf(zip_derived_cl24877, plain, (![X0 : $i]: (ssPv2 @ X0)),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24838, zip_derived_cl24841])).
% 45.86/7.17 thf(zip_derived_cl24967, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0) | ~ (ssPv3 @ X0) | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('demod', [status(thm)],
% 45.86/7.17 [zip_derived_cl847, zip_derived_cl24877])).
% 45.86/7.17 thf(zip_derived_cl25394, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv1 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24982, zip_derived_cl25389])).
% 45.86/7.17 thf(zip_derived_cl25396, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv1 @ X0) | ~ (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl24967, zip_derived_cl25394])).
% 45.86/7.17 thf(zip_derived_cl265, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | (ssPv4 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl263])).
% 45.86/7.17 thf(zip_derived_cl24893, plain, (![X0 : $i]: ~ (ssPv4 @ X0)),
% 45.86/7.17 inference('demod', [status(thm)],
% 45.86/7.17 [zip_derived_cl62, zip_derived_cl24877, zip_derived_cl24877,
% 45.86/7.17 zip_derived_cl24877])).
% 45.86/7.17 thf(zip_derived_cl25131, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv3 @ (skf1 @ (skf1 @ X0)))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('demod', [status(thm)],
% 45.86/7.17 [zip_derived_cl265, zip_derived_cl24893])).
% 45.86/7.17 thf(zip_derived_cl24967, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 (~ (ssPv1 @ X0) | ~ (ssPv3 @ X0) | (ssPv3 @ (skf1 @ (skf1 @ X0))))),
% 45.86/7.17 inference('demod', [status(thm)],
% 45.86/7.17 [zip_derived_cl847, zip_derived_cl24877])).
% 45.86/7.17 thf(zip_derived_cl25300, plain,
% 45.86/7.17 (![X0 : $i]:
% 45.86/7.17 ( (ssPv1 @ (skf1 @ X0))
% 45.86/7.17 | ~ (ssPv1 @ X0)
% 45.86/7.17 | ~ (ssPv3 @ X0)
% 45.86/7.17 | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('sup+', [status(thm)],
% 45.86/7.17 [zip_derived_cl25131, zip_derived_cl24967])).
% 45.86/7.17 thf(zip_derived_cl25302, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv1 @ X0) | (ssPv1 @ (skf1 @ X0)))),
% 45.86/7.17 inference('simplify', [status(thm)], [zip_derived_cl25300])).
% 45.86/7.17 thf(zip_derived_cl25398, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv1 @ X0) | ~ (ssPv3 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl25396, zip_derived_cl25302])).
% 45.86/7.17 thf(zip_derived_cl25402, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv1 @ (skf1 @ X0)) | (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl25395, zip_derived_cl25398])).
% 45.86/7.17 thf(zip_derived_cl25413, plain,
% 45.86/7.17 (![X0 : $i]: ( (ssPv3 @ (skf1 @ X0)) | (ssPv1 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl25409, zip_derived_cl25402])).
% 45.86/7.17 thf(zip_derived_cl25389, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24972, zip_derived_cl24893])).
% 45.86/7.17 thf(zip_derived_cl25422, plain,
% 45.86/7.17 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv3 @ X0))),
% 45.86/7.17 inference('sup-', [status(thm)],
% 45.86/7.17 [zip_derived_cl25413, zip_derived_cl25389])).
% 45.86/7.17 thf(zip_derived_cl25398, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv1 @ X0) | ~ (ssPv3 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl25396, zip_derived_cl25302])).
% 45.86/7.17 thf(zip_derived_cl25430, plain, (![X0 : $i]: ~ (ssPv3 @ X0)),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl25422, zip_derived_cl25398])).
% 45.86/7.17 thf(zip_derived_cl25441, plain,
% 45.86/7.17 (![X0 : $i]: (~ (ssPv1 @ (skf1 @ (skf1 @ X0))) | ~ (ssPv1 @ X0))),
% 45.86/7.17 inference('demod', [status(thm)],
% 45.86/7.17 [zip_derived_cl25152, zip_derived_cl25430])).
% 45.86/7.17 thf(zip_derived_cl25409, plain,
% 45.86/7.17 (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv1 @ X0))),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl24947, zip_derived_cl24893])).
% 45.86/7.17 thf(zip_derived_cl25430, plain, (![X0 : $i]: ~ (ssPv3 @ X0)),
% 45.86/7.17 inference('clc', [status(thm)],
% 45.86/7.17 [zip_derived_cl25422, zip_derived_cl25398])).
% 45.86/7.17 thf(zip_derived_cl25442, plain, (![X0 : $i]: (ssPv1 @ X0)),
% 45.86/7.17 inference('demod', [status(thm)],
% 45.86/7.17 [zip_derived_cl25409, zip_derived_cl25430])).
% 45.86/7.17 thf(zip_derived_cl25442, plain, (![X0 : $i]: (ssPv1 @ X0)),
% 45.86/7.17 inference('demod', [status(thm)],
% 45.86/7.17 [zip_derived_cl25409, zip_derived_cl25430])).
% 45.86/7.17 thf(zip_derived_cl25450, plain, ($false),
% 45.86/7.17 inference('demod', [status(thm)],
% 45.86/7.17 [zip_derived_cl25441, zip_derived_cl25442, zip_derived_cl25442])).
% 45.86/7.17
% 45.86/7.17 % SZS output end Refutation
% 45.86/7.17
% 45.86/7.17
% 45.86/7.17 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 45.86/7.17 % Terminating...
% 46.33/7.28 % Runner terminated.
% 46.33/7.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------