TSTP Solution File: SYN784-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN784-1 : 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.1TX42SnMFw true
% Computer : n027.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 04:05:30 EDT 2023
% Result : Unsatisfiable 9.63s 1.98s
% Output : Refutation 9.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SYN784-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1TX42SnMFw true
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 19:18:35 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.70 % Total configuration time : 435
% 0.23/0.70 % Estimated wc time : 1092
% 0.23/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.63/1.98 % Solved by fo/fo5.sh.
% 9.63/1.98 % done 1618 iterations in 1.132s
% 9.63/1.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.63/1.98 % SZS output start Refutation
% 9.63/1.98 thf(skf2_type, type, skf2: $i > $i).
% 9.63/1.98 thf(ssPv2_type, type, ssPv2: $i > $o).
% 9.63/1.98 thf(skf3_type, type, skf3: $i > $i).
% 9.63/1.98 thf(ssRr_type, type, ssRr: $i > $i > $o).
% 9.63/1.98 thf(ssPv3_type, type, ssPv3: $i > $o).
% 9.63/1.98 thf(ssPv1_type, type, ssPv1: $i > $o).
% 9.63/1.98 thf(ssPv4_type, type, ssPv4: $i > $o).
% 9.63/1.98 thf(clause1, conjecture, (~( ssRr @ ( skf3 @ U ) @ U ))).
% 9.63/1.98 thf(zf_stmt_0, negated_conjecture, (ssRr @ ( skf3 @ U ) @ U),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause1])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause8, conjecture,
% 9.63/1.98 (~( ( ssPv4 @ U ) | ( ssPv3 @ U ) | ( ssPv3 @ W ) | ( ssPv4 @ V ) |
% 9.63/1.98 ( ~( ssRr @ U @ W ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_1, negated_conjecture,
% 9.63/1.98 (( ssPv4 @ U ) | ( ssPv3 @ U ) | ( ssPv3 @ W ) | ( ssPv4 @ V ) |
% 9.63/1.98 ( ~( ssRr @ U @ W ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause8])).
% 9.63/1.98 thf(zip_derived_cl7, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv3 @ X1)
% 9.63/1.98 | (ssPv4 @ X2)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1)
% 9.63/1.98 | ~ (ssRr @ X0 @ X2))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.63/1.98 thf(zip_derived_cl69, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv3 @ X1)
% 9.63/1.98 | (ssPv4 @ X1))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl7])).
% 9.63/1.98 thf(zip_derived_cl71, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl69])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause36, conjecture,
% 9.63/1.98 (~( ( ssPv2 @ V ) | ( ssPv4 @ U ) | ( ~( ssPv3 @ X ) ) |
% 9.63/1.98 ( ~( ssRr @ V @ X ) ) | ( ~( ssPv4 @ W ) ) | ( ~( ssRr @ V @ W ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_2, negated_conjecture,
% 9.63/1.98 (( ssPv2 @ V ) | ( ssPv4 @ U ) | ( ~( ssPv3 @ X ) ) |
% 9.63/1.98 ( ~( ssRr @ V @ X ) ) | ( ~( ssPv4 @ W ) ) | ( ~( ssRr @ V @ W ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause36])).
% 9.63/1.98 thf(zip_derived_cl35, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssPv3 @ X2)
% 9.63/1.98 | ~ (ssRr @ X0 @ X2)
% 9.63/1.98 | ~ (ssPv4 @ X3)
% 9.63/1.98 | ~ (ssRr @ X0 @ X3)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.63/1.98 thf(zip_derived_cl1782, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 (~ (ssRr @ X2 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ X2)
% 9.63/1.98 | (ssPv2 @ X1))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl35])).
% 9.63/1.98 thf(zip_derived_cl5404, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1782])).
% 9.63/1.98 thf(zip_derived_cl5407, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5404])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause19, conjecture,
% 9.63/1.98 (~( ( ssPv4 @ V ) | ( ssPv2 @ V ) | ( ~( ssPv3 @ W ) ) |
% 9.63/1.98 ( ~( ssRr @ V @ W ) ) | ( ~( ssPv4 @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_3, negated_conjecture,
% 9.63/1.98 (( ssPv4 @ V ) | ( ssPv2 @ V ) | ( ~( ssPv3 @ W ) ) |
% 9.63/1.98 ( ~( ssRr @ V @ W ) ) | ( ~( ssPv4 @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause19])).
% 9.63/1.98 thf(zip_derived_cl18, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X2)
% 9.63/1.98 | ~ (ssRr @ X2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.63/1.98 thf(zip_derived_cl749, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl18])).
% 9.63/1.98 thf(zip_derived_cl1012, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ (skf3 @ X0))))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl749])).
% 9.63/1.98 thf(zip_derived_cl5455, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl5407, zip_derived_cl1012])).
% 9.63/1.98 thf(zip_derived_cl5469, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl5455])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause10, conjecture,
% 9.63/1.98 (~( ( ssPv3 @ V ) | ( ssPv2 @ W ) | ( ssPv3 @ U ) | ( ~( ssPv2 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ W @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_4, negated_conjecture,
% 9.63/1.98 (( ssPv3 @ V ) | ( ssPv2 @ W ) | ( ssPv3 @ U ) | ( ~( ssPv2 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ W @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause10])).
% 9.63/1.98 thf(zip_derived_cl9, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X1)
% 9.63/1.98 | (ssPv3 @ X2)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssRr @ X2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.63/1.98 thf(zip_derived_cl112, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X1)
% 9.63/1.98 | (ssPv2 @ X1)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl9])).
% 9.63/1.98 thf(zip_derived_cl114, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl112])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause15, conjecture,
% 9.63/1.98 (~( ( ssPv3 @ V ) | ( ssPv4 @ W ) | ( ~( ssPv4 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ W @ V ) ) | ( ~( ssPv3 @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_5, negated_conjecture,
% 9.63/1.98 (( ssPv3 @ V ) | ( ssPv4 @ W ) | ( ~( ssPv4 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ W @ V ) ) | ( ~( ssPv3 @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause15])).
% 9.63/1.98 thf(zip_derived_cl14, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X2)
% 9.63/1.98 | ~ (ssRr @ X2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_5])).
% 9.63/1.98 thf(zip_derived_cl376, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ X1)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl14])).
% 9.63/1.98 thf(zip_derived_cl378, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl376])).
% 9.63/1.98 thf(zip_derived_cl392, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl114, zip_derived_cl378])).
% 9.63/1.98 thf(zip_derived_cl393, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl392])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause4, conjecture,
% 9.63/1.98 (~( ( ssPv3 @ V ) | ( ssPv2 @ V ) | ( ssPv2 @ U ) | ( ~( ssPv4 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_6, negated_conjecture,
% 9.63/1.98 (( ssPv3 @ V ) | ( ssPv2 @ V ) | ( ssPv2 @ U ) | ( ~( ssPv4 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause4])).
% 9.63/1.98 thf(zip_derived_cl3, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_6])).
% 9.63/1.98 thf(zip_derived_cl50, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 9.63/1.98 thf(zip_derived_cl430, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl393, zip_derived_cl50])).
% 9.63/1.98 thf(zip_derived_cl5473, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf3 @ X0)) | ~ (ssPv4 @ X0) | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl5469, zip_derived_cl430])).
% 9.63/1.98 thf(zip_derived_cl50, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 9.63/1.98 thf(zip_derived_cl430, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl393, zip_derived_cl50])).
% 9.63/1.98 thf(zip_derived_cl430, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl393, zip_derived_cl50])).
% 9.63/1.98 thf(zip_derived_cl114, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl112])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause6, conjecture,
% 9.63/1.98 (~( ( ssPv1 @ U ) | ( ssPv1 @ V ) | ( ~( ssPv4 @ U ) ) |
% 9.63/1.98 ( ~( ssPv3 @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_7, negated_conjecture,
% 9.63/1.98 (( ssPv1 @ U ) | ( ssPv1 @ V ) | ( ~( ssPv4 @ U ) ) | ( ~( ssPv3 @ U ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause6])).
% 9.63/1.98 thf(zip_derived_cl5, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv1 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_7])).
% 9.63/1.98 thf(zip_derived_cl45, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 9.63/1.98 thf(zip_derived_cl123, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl114, zip_derived_cl45])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause7, conjecture,
% 9.63/1.98 (~( ( ssPv1 @ V ) | ( ssPv1 @ U ) | ( ~( ssPv3 @ V ) ) |
% 9.63/1.98 ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_8, negated_conjecture,
% 9.63/1.98 (( ssPv1 @ V ) | ( ssPv1 @ U ) | ( ~( ssPv3 @ V ) ) | ( ~( ssPv2 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause7])).
% 9.63/1.98 thf(zip_derived_cl6, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv1 @ X1)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_8])).
% 9.63/1.98 thf(zip_derived_cl52, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 9.63/1.98 thf(zip_derived_cl166, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl123, zip_derived_cl52])).
% 9.63/1.98 thf(zip_derived_cl433, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl430, zip_derived_cl166])).
% 9.63/1.98 thf(zip_derived_cl440, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl433])).
% 9.63/1.98 thf(zip_derived_cl50, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 9.63/1.98 thf(zip_derived_cl650, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl440, zip_derived_cl50])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause16, conjecture,
% 9.63/1.98 (~( ( ssPv3 @ U ) | ( ssPv1 @ W ) | ( ~( ssPv2 @ U ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_9, negated_conjecture,
% 9.63/1.98 (( ssPv3 @ U ) | ( ssPv1 @ W ) | ( ~( ssPv2 @ U ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause16])).
% 9.63/1.98 thf(zip_derived_cl15, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X2)
% 9.63/1.98 | ~ (ssRr @ X0 @ X2))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_9])).
% 9.63/1.98 thf(zip_derived_cl473, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X1)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv3 @ X1))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl15])).
% 9.63/1.98 thf(zip_derived_cl475, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl473])).
% 9.63/1.98 thf(zip_derived_cl653, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl650, zip_derived_cl475])).
% 9.63/1.98 thf(zip_derived_cl656, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl653])).
% 9.63/1.98 thf(zip_derived_cl378, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl376])).
% 9.63/1.98 thf(zip_derived_cl663, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl656, zip_derived_cl378])).
% 9.63/1.98 thf(zip_derived_cl670, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl663])).
% 9.63/1.98 thf(zip_derived_cl166, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl123, zip_derived_cl52])).
% 9.63/1.98 thf(zip_derived_cl674, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl670, zip_derived_cl166])).
% 9.63/1.98 thf(zip_derived_cl681, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl674])).
% 9.63/1.98 thf(zip_derived_cl656, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl653])).
% 9.63/1.98 thf(zip_derived_cl45, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 9.63/1.98 thf(zip_derived_cl659, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl656, zip_derived_cl45])).
% 9.63/1.98 thf(zip_derived_cl668, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl659])).
% 9.63/1.98 thf(zip_derived_cl670, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl663])).
% 9.63/1.98 thf(zip_derived_cl709, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl668, zip_derived_cl670])).
% 9.63/1.98 thf(zip_derived_cl1881, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl681, zip_derived_cl709])).
% 9.63/1.98 thf(zip_derived_cl52, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 9.63/1.98 thf(zip_derived_cl1882, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl1881, zip_derived_cl52])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause39, conjecture,
% 9.63/1.98 (~( ( ssPv4 @ U ) | ( ~( ssPv1 @ V ) ) | ( ~( ssPv2 @ X ) ) |
% 9.63/1.98 ( ~( ssRr @ V @ X ) ) | ( ~( ssPv4 @ W ) ) | ( ~( ssRr @ V @ W ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_10, negated_conjecture,
% 9.63/1.98 (( ssPv4 @ U ) | ( ~( ssPv1 @ V ) ) | ( ~( ssPv2 @ X ) ) |
% 9.63/1.98 ( ~( ssRr @ V @ X ) ) | ( ~( ssPv4 @ W ) ) | ( ~( ssRr @ V @ W ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause39])).
% 9.63/1.98 thf(zip_derived_cl38, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ X2)
% 9.63/1.98 | ~ (ssRr @ X1 @ X2)
% 9.63/1.98 | ~ (ssPv4 @ X3)
% 9.63/1.98 | ~ (ssRr @ X1 @ X3)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_10])).
% 9.63/1.98 thf(zip_derived_cl2160, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 (~ (ssRr @ X2 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X1)
% 9.63/1.98 | (ssPv4 @ X2))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl38])).
% 9.63/1.98 thf(zip_derived_cl2184, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2160])).
% 9.63/1.98 thf(zip_derived_cl2196, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv4 @ (skf3 @ (skf3 @ X0))))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2184])).
% 9.63/1.98 thf(zip_derived_cl2210, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1882, zip_derived_cl2196])).
% 9.63/1.98 thf(zip_derived_cl2213, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2210])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause23, conjecture,
% 9.63/1.98 (~( ( ssPv1 @ W ) | ( ~( ssPv4 @ V ) ) | ( ~( ssPv1 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ V @ W ) ) | ( ~( ssPv4 @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_11, negated_conjecture,
% 9.63/1.98 (( ssPv1 @ W ) | ( ~( ssPv4 @ V ) ) | ( ~( ssPv1 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ V @ W ) ) | ( ~( ssPv4 @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause23])).
% 9.63/1.98 thf(zip_derived_cl22, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssPv1 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X2)
% 9.63/1.98 | ~ (ssRr @ X2 @ X1))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_11])).
% 9.63/1.98 thf(zip_derived_cl131, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl22])).
% 9.63/1.98 thf(zip_derived_cl154, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ (skf3 @ X0))))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl131])).
% 9.63/1.98 thf(zip_derived_cl2224, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl2213, zip_derived_cl154])).
% 9.63/1.98 thf(zip_derived_cl2229, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2224])).
% 9.63/1.98 thf(zip_derived_cl1882, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl1881, zip_derived_cl52])).
% 9.63/1.98 thf(zip_derived_cl2231, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl2229, zip_derived_cl1882])).
% 9.63/1.98 thf(zip_derived_cl2236, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl430, zip_derived_cl2231])).
% 9.63/1.98 thf(zip_derived_cl2243, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2236])).
% 9.63/1.98 thf(zip_derived_cl50, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 9.63/1.98 thf(zip_derived_cl2289, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl2243, zip_derived_cl50])).
% 9.63/1.98 thf(zip_derived_cl475, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl473])).
% 9.63/1.98 thf(zip_derived_cl2292, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl2289, zip_derived_cl475])).
% 9.63/1.98 thf(zip_derived_cl2300, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2292])).
% 9.63/1.98 thf(zip_derived_cl378, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl376])).
% 9.63/1.98 thf(zip_derived_cl2309, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl2300, zip_derived_cl378])).
% 9.63/1.98 thf(zip_derived_cl2321, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2309])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause20, conjecture,
% 9.63/1.98 (~( ( ssPv3 @ U ) | ( ~( ssPv4 @ V ) ) | ( ~( ssPv3 @ V ) ) |
% 9.63/1.98 ( ~( ssPv4 @ W ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_12, negated_conjecture,
% 9.63/1.98 (( ssPv3 @ U ) | ( ~( ssPv4 @ V ) ) | ( ~( ssPv3 @ V ) ) |
% 9.63/1.98 ( ~( ssPv4 @ W ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause20])).
% 9.63/1.98 thf(zip_derived_cl19, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X2)
% 9.63/1.98 | ~ (ssRr @ X1 @ X2)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_12])).
% 9.63/1.98 thf(zip_derived_cl56, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X1))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl19])).
% 9.63/1.98 thf(zip_derived_cl60, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl56])).
% 9.63/1.98 thf(zip_derived_cl2324, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ (skf3 @ (skf3 @ X0))))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl2321, zip_derived_cl60])).
% 9.63/1.98 thf(zip_derived_cl2340, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2324])).
% 9.63/1.98 thf(zip_derived_cl2300, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2292])).
% 9.63/1.98 thf(zip_derived_cl2543, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf3 @ (skf3 @ X0))))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl2340, zip_derived_cl2300])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause22, conjecture,
% 9.63/1.98 (~( ( ssPv2 @ W ) | ( ~( ssPv3 @ V ) ) | ( ~( ssPv2 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ V @ W ) ) | ( ~( ssPv3 @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_13, negated_conjecture,
% 9.63/1.98 (( ssPv2 @ W ) | ( ~( ssPv3 @ V ) ) | ( ~( ssPv2 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ V @ W ) ) | ( ~( ssPv3 @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause22])).
% 9.63/1.98 thf(zip_derived_cl21, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X2)
% 9.63/1.98 | ~ (ssRr @ X2 @ X1))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_13])).
% 9.63/1.98 thf(zip_derived_cl116, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl21])).
% 9.63/1.98 thf(zip_derived_cl122, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ (skf3 @ X0))))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl116])).
% 9.63/1.98 thf(zip_derived_cl2556, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl2543, zip_derived_cl122])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause3, conjecture,
% 9.63/1.98 (~( ( ssPv4 @ V ) | ( ssPv3 @ V ) | ( ssPv2 @ V ) | ( ssPv4 @ U ) |
% 9.63/1.98 ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_14, negated_conjecture,
% 9.63/1.98 (( ssPv4 @ V ) | ( ssPv3 @ V ) | ( ssPv2 @ V ) | ( ssPv4 @ U ) |
% 9.63/1.98 ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause3])).
% 9.63/1.98 thf(zip_derived_cl2, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_14])).
% 9.63/1.98 thf(zip_derived_cl48, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause2, conjecture, (~( ssRr @ U @ ( skf2 @ U ) ))).
% 9.63/1.98 thf(zf_stmt_15, negated_conjecture, (ssRr @ U @ ( skf2 @ U )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause2])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(zip_derived_cl2, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_14])).
% 9.63/1.98 thf(zip_derived_cl47, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(zip_derived_cl3, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_6])).
% 9.63/1.98 thf(zip_derived_cl49, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 9.63/1.98 thf(zip_derived_cl53, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl49])).
% 9.63/1.98 thf(zip_derived_cl54, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl53])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(zip_derived_cl18, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X2)
% 9.63/1.98 | ~ (ssRr @ X2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.63/1.98 thf(zip_derived_cl748, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl18])).
% 9.63/1.98 thf(zip_derived_cl751, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl748])).
% 9.63/1.98 thf(zip_derived_cl758, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl751])).
% 9.63/1.98 thf(zip_derived_cl783, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl758])).
% 9.63/1.98 thf(zip_derived_cl785, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl783])).
% 9.63/1.98 thf(zip_derived_cl791, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl785])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(zip_derived_cl112, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X1)
% 9.63/1.98 | (ssPv2 @ X1)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl9])).
% 9.63/1.98 thf(zip_derived_cl113, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl112])).
% 9.63/1.98 thf(zip_derived_cl797, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl791, zip_derived_cl113])).
% 9.63/1.98 thf(zip_derived_cl808, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl797])).
% 9.63/1.98 thf(zip_derived_cl748, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl18])).
% 9.63/1.98 thf(zip_derived_cl822, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl808, zip_derived_cl748])).
% 9.63/1.98 thf(zip_derived_cl825, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl822])).
% 9.63/1.98 thf(zip_derived_cl2, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_14])).
% 9.63/1.98 thf(zip_derived_cl827, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0) | (ssPv3 @ X0) | (ssPv2 @ X0) | ~ (ssRr @ X1 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl825, zip_derived_cl2])).
% 9.63/1.98 thf(zip_derived_cl829, plain,
% 9.63/1.98 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ X0) | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl827])).
% 9.63/1.98 thf(zip_derived_cl3103, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl2556, zip_derived_cl829])).
% 9.63/1.98 thf(zip_derived_cl50, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 9.63/1.98 thf(zip_derived_cl475, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl473])).
% 9.63/1.98 thf(zip_derived_cl486, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl475])).
% 9.63/1.98 thf(zip_derived_cl491, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl486])).
% 9.63/1.98 thf(zip_derived_cl378, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl376])).
% 9.63/1.98 thf(zip_derived_cl510, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl491, zip_derived_cl378])).
% 9.63/1.98 thf(zip_derived_cl516, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl510])).
% 9.63/1.98 thf(zip_derived_cl48, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 9.63/1.98 thf(zip_derived_cl517, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl516, zip_derived_cl48])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause11, conjecture,
% 9.63/1.98 (~( ( ssPv1 @ V ) | ( ssPv2 @ W ) | ( ssPv1 @ U ) | ( ~( ssPv4 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_16, negated_conjecture,
% 9.63/1.98 (( ssPv1 @ V ) | ( ssPv2 @ W ) | ( ssPv1 @ U ) | ( ~( ssPv4 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause11])).
% 9.63/1.98 thf(zip_derived_cl10, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv2 @ X1)
% 9.63/1.98 | (ssPv1 @ X2)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1)
% 9.63/1.98 | ~ (ssRr @ X2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_16])).
% 9.63/1.98 thf(zip_derived_cl142, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X1)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl10])).
% 9.63/1.98 thf(zip_derived_cl2708, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl142])).
% 9.63/1.98 thf(zip_derived_cl2741, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl517, zip_derived_cl2708])).
% 9.63/1.98 thf(zip_derived_cl2745, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2741])).
% 9.63/1.98 thf(zip_derived_cl50, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 9.63/1.98 thf(zip_derived_cl517, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl516, zip_derived_cl48])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause35, conjecture,
% 9.63/1.98 (~( ( ssPv2 @ V ) | ( ssPv1 @ X ) | ( ~( ssRr @ X @ V ) ) |
% 9.63/1.98 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv4 @ U ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_17, negated_conjecture,
% 9.63/1.98 (( ssPv2 @ V ) | ( ssPv1 @ X ) | ( ~( ssRr @ X @ V ) ) |
% 9.63/1.98 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv4 @ U ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause35])).
% 9.63/1.98 thf(zip_derived_cl34, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X2)
% 9.63/1.98 | ~ (ssRr @ X2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X3)
% 9.63/1.98 | ~ (ssRr @ X3 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_17])).
% 9.63/1.98 thf(zip_derived_cl1619, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 (~ (ssRr @ X2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X2)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X1)
% 9.63/1.98 | (ssPv1 @ X1)
% 9.63/1.98 | (ssPv2 @ X0))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl34])).
% 9.63/1.98 thf(zip_derived_cl1623, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X1))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl1619])).
% 9.63/1.98 thf(zip_derived_cl1625, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1623])).
% 9.63/1.98 thf(zip_derived_cl1654, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl517, zip_derived_cl1625])).
% 9.63/1.98 thf(zip_derived_cl1658, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl1654])).
% 9.63/1.98 thf(zip_derived_cl1828, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1658])).
% 9.63/1.98 thf(zip_derived_cl1836, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl1828])).
% 9.63/1.98 thf(zip_derived_cl829, plain,
% 9.63/1.98 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ X0) | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl827])).
% 9.63/1.98 thf(zip_derived_cl1843, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl1836, zip_derived_cl829])).
% 9.63/1.98 thf(zip_derived_cl2915, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl2745, zip_derived_cl1843])).
% 9.63/1.98 thf(zip_derived_cl829, plain,
% 9.63/1.98 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ X0) | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl827])).
% 9.63/1.98 thf(zip_derived_cl49, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 9.63/1.98 thf(zip_derived_cl839, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl829, zip_derived_cl49])).
% 9.63/1.98 thf(zip_derived_cl851, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0) | (ssPv2 @ (skf2 @ X0)) | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl839])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(clause9, conjecture,
% 9.63/1.98 (~( ( ssPv4 @ V ) | ( ssPv4 @ W ) | ( ssPv2 @ U ) | ( ~( ssPv3 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_18, negated_conjecture,
% 9.63/1.98 (( ssPv4 @ V ) | ( ssPv4 @ W ) | ( ssPv2 @ U ) | ( ~( ssPv3 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause9])).
% 9.63/1.98 thf(zip_derived_cl8, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ X1)
% 9.63/1.98 | (ssPv2 @ X2)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1)
% 9.63/1.98 | ~ (ssRr @ X2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_18])).
% 9.63/1.98 thf(zip_derived_cl77, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X1)
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl8])).
% 9.63/1.98 thf(zip_derived_cl91, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl77])).
% 9.63/1.98 thf(zip_derived_cl856, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl851, zip_derived_cl91])).
% 9.63/1.98 thf(zip_derived_cl863, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl856])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(zip_derived_cl9, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X1)
% 9.63/1.98 | (ssPv3 @ X2)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssRr @ X2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.63/1.98 thf(zip_derived_cl110, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv3 @ X1)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl9])).
% 9.63/1.98 thf(zip_derived_cl851, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0) | (ssPv2 @ (skf2 @ X0)) | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl839])).
% 9.63/1.98 thf(zip_derived_cl2577, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ (skf2 @ X0)))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl110, zip_derived_cl851])).
% 9.63/1.98 thf(zip_derived_cl2579, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf3 @ (skf2 @ X0)))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2577])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(zip_derived_cl14, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X2)
% 9.63/1.98 | ~ (ssRr @ X2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_5])).
% 9.63/1.98 thf(zip_derived_cl374, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl14])).
% 9.63/1.98 thf(zip_derived_cl766, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ (skf2 @ X0))))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl374])).
% 9.63/1.98 thf(zip_derived_cl2621, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl2579, zip_derived_cl766])).
% 9.63/1.98 thf(zip_derived_cl2624, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2621])).
% 9.63/1.98 thf(zip_derived_cl2630, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv3 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl863, zip_derived_cl2624])).
% 9.63/1.98 thf(zip_derived_cl2640, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2630])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(zip_derived_cl758, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl751])).
% 9.63/1.98 thf(zip_derived_cl782, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl758])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(clause24, conjecture,
% 9.63/1.98 (~( ( ssPv4 @ U ) | ( ~( ssPv3 @ U ) ) | ( ~( ssPv2 @ W ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_19, negated_conjecture,
% 9.63/1.98 (( ssPv4 @ U ) | ( ~( ssPv3 @ U ) ) | ( ~( ssPv2 @ W ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause24])).
% 9.63/1.98 thf(zip_derived_cl23, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X1)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1)
% 9.63/1.98 | ~ (ssPv3 @ X2)
% 9.63/1.98 | ~ (ssRr @ X0 @ X2))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_19])).
% 9.63/1.98 thf(zip_derived_cl159, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X1)
% 9.63/1.98 | (ssPv4 @ X1))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl23])).
% 9.63/1.98 thf(zip_derived_cl160, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl159])).
% 9.63/1.98 thf(zip_derived_cl909, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.98 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl782, zip_derived_cl160])).
% 9.63/1.98 thf(zip_derived_cl917, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl909])).
% 9.63/1.98 thf(zip_derived_cl829, plain,
% 9.63/1.98 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ X0) | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl827])).
% 9.63/1.98 thf(zip_derived_cl978, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ (skf2 @ (skf2 @ X0))))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl917, zip_derived_cl829])).
% 9.63/1.98 thf(zip_derived_cl2700, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl2640, zip_derived_cl978])).
% 9.63/1.98 thf(zip_derived_cl2704, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2700])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(clause18, conjecture,
% 9.63/1.98 (~( ( ssPv2 @ V ) | ( ssPv3 @ W ) | ( ~( ssPv4 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ W @ V ) ) | ( ~( ssPv1 @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_20, negated_conjecture,
% 9.63/1.98 (( ssPv2 @ V ) | ( ssPv3 @ W ) | ( ~( ssPv4 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ W @ V ) ) | ( ~( ssPv1 @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause18])).
% 9.63/1.98 thf(zip_derived_cl17, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X2)
% 9.63/1.98 | ~ (ssRr @ X2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_20])).
% 9.63/1.98 thf(zip_derived_cl687, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X1)
% 9.63/1.98 | (ssPv2 @ X0))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl17])).
% 9.63/1.98 thf(zip_derived_cl688, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl687])).
% 9.63/1.98 thf(zip_derived_cl2718, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl2704, zip_derived_cl688])).
% 9.63/1.98 thf(zip_derived_cl2732, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2718])).
% 9.63/1.98 thf(zip_derived_cl829, plain,
% 9.63/1.98 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ X0) | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl827])).
% 9.63/1.98 thf(zip_derived_cl2777, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl2732, zip_derived_cl829])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(zip_derived_cl2577, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ (skf2 @ X0)))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl110, zip_derived_cl851])).
% 9.63/1.98 thf(zip_derived_cl2578, plain,
% 9.63/1.98 (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ X0) | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2577])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(zip_derived_cl1623, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X1))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl1619])).
% 9.63/1.98 thf(zip_derived_cl1624, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1623])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(clause21, conjecture,
% 9.63/1.98 (~( ( ssPv4 @ W ) | ( ~( ssPv4 @ U ) ) | ( ~( ssPv2 @ U ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_21, negated_conjecture,
% 9.63/1.98 (( ssPv4 @ W ) | ( ~( ssPv4 @ U ) ) | ( ~( ssPv2 @ U ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause21])).
% 9.63/1.98 thf(zip_derived_cl20, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X2)
% 9.63/1.98 | ~ (ssRr @ X1 @ X2))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_21])).
% 9.63/1.98 thf(zip_derived_cl66, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | (ssPv4 @ X0))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl20])).
% 9.63/1.98 thf(zip_derived_cl81, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl66])).
% 9.63/1.98 thf(zip_derived_cl1627, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1624, zip_derived_cl81])).
% 9.63/1.98 thf(zip_derived_cl1644, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl1627])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(zip_derived_cl19, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X2)
% 9.63/1.98 | ~ (ssRr @ X1 @ X2)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_12])).
% 9.63/1.98 thf(zip_derived_cl55, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X1))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl19])).
% 9.63/1.98 thf(zip_derived_cl1661, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1644, zip_derived_cl55])).
% 9.63/1.98 thf(zip_derived_cl1674, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl77, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X1)
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl8])).
% 9.63/1.98 thf(zip_derived_cl92, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl77])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(zip_derived_cl376, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ X1)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl14])).
% 9.63/1.98 thf(zip_derived_cl377, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl376])).
% 9.63/1.98 thf(zip_derived_cl381, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl377])).
% 9.63/1.98 thf(zip_derived_cl388, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl381])).
% 9.63/1.98 thf(zip_derived_cl52, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause17, conjecture,
% 9.63/1.98 (~( ( ssPv3 @ U ) | ( ssPv4 @ W ) | ( ~( ssPv1 @ U ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_22, negated_conjecture,
% 9.63/1.98 (( ssPv3 @ U ) | ( ssPv4 @ W ) | ( ~( ssPv1 @ U ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause17])).
% 9.63/1.98 thf(zip_derived_cl16, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ X2)
% 9.63/1.98 | ~ (ssRr @ X0 @ X2))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_22])).
% 9.63/1.98 thf(zip_derived_cl550, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X1)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X1))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl16])).
% 9.63/1.98 thf(zip_derived_cl552, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl550])).
% 9.63/1.98 thf(zip_derived_cl560, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl552])).
% 9.63/1.98 thf(zip_derived_cl561, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl560])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(zip_derived_cl21, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ X1)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X2)
% 9.63/1.98 | ~ (ssRr @ X2 @ X1))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_13])).
% 9.63/1.98 thf(zip_derived_cl115, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 9.63/1.98 thf(zip_derived_cl120, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl115])).
% 9.63/1.98 thf(zip_derived_cl567, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl561, zip_derived_cl120])).
% 9.63/1.98 thf(zip_derived_cl576, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl567])).
% 9.63/1.98 thf(zip_derived_cl160, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl159])).
% 9.63/1.98 thf(zip_derived_cl586, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl576, zip_derived_cl160])).
% 9.63/1.98 thf(zip_derived_cl597, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl586])).
% 9.63/1.98 thf(zip_derived_cl606, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl388, zip_derived_cl597])).
% 9.63/1.98 thf(zip_derived_cl613, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl606])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl66, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X1)
% 9.63/1.98 | (ssPv4 @ X0))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl20])).
% 9.63/1.98 thf(zip_derived_cl82, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl66])).
% 9.63/1.98 thf(zip_derived_cl617, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl613, zip_derived_cl82])).
% 9.63/1.98 thf(zip_derived_cl623, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl617])).
% 9.63/1.98 thf(zip_derived_cl52, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause14, conjecture,
% 9.63/1.98 (~( ( ssPv4 @ U ) | ( ssPv4 @ W ) | ( ~( ssPv1 @ U ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_23, negated_conjecture,
% 9.63/1.98 (( ssPv4 @ U ) | ( ssPv4 @ W ) | ( ~( ssPv1 @ U ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause14])).
% 9.63/1.98 thf(zip_derived_cl13, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 ( (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ X1)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ X2)
% 9.63/1.98 | ~ (ssRr @ X0 @ X2))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_23])).
% 9.63/1.98 thf(zip_derived_cl311, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X1)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ X1))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl13])).
% 9.63/1.98 thf(zip_derived_cl317, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl311])).
% 9.63/1.98 thf(zip_derived_cl321, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl317])).
% 9.63/1.98 thf(zip_derived_cl322, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl321])).
% 9.63/1.98 thf(zip_derived_cl628, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv3 @ X0) | (ssPv4 @ X0) | (ssPv1 @ X0) | ~ (ssPv2 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl623, zip_derived_cl322])).
% 9.63/1.98 thf(zip_derived_cl1916, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X1)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl1674, zip_derived_cl628])).
% 9.63/1.98 thf(zip_derived_cl1918, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv3 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1916])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl159, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X1)
% 9.63/1.98 | (ssPv4 @ X1))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl23])).
% 9.63/1.98 thf(zip_derived_cl161, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl159])).
% 9.63/1.98 thf(zip_derived_cl1931, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1918, zip_derived_cl161])).
% 9.63/1.98 thf(zip_derived_cl1945, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl1931])).
% 9.63/1.98 thf(zip_derived_cl2231, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl2229, zip_derived_cl1882])).
% 9.63/1.98 thf(zip_derived_cl2238, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1945, zip_derived_cl2231])).
% 9.63/1.98 thf(zip_derived_cl2245, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0) | ~ (ssPv3 @ X0) | ~ (ssPv2 @ X0) | (ssPv1 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2238])).
% 9.63/1.98 thf(zip_derived_cl628, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv3 @ X0) | (ssPv4 @ X0) | (ssPv1 @ X0) | ~ (ssPv2 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl623, zip_derived_cl322])).
% 9.63/1.98 thf(zip_derived_cl2246, plain,
% 9.63/1.98 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl2245, zip_derived_cl628])).
% 9.63/1.98 thf(zip_derived_cl2580, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl2578, zip_derived_cl2246])).
% 9.63/1.98 thf(zip_derived_cl2790, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | (ssPv1 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl2777, zip_derived_cl2580])).
% 9.63/1.98 thf(zip_derived_cl2802, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv1 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2790])).
% 9.63/1.98 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause5, conjecture,
% 9.63/1.98 (~( ( ssPv2 @ V ) | ( ssPv2 @ U ) | ( ~( ssPv4 @ V ) ) |
% 9.63/1.98 ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_24, negated_conjecture,
% 9.63/1.98 (( ssPv2 @ V ) | ( ssPv2 @ U ) | ( ~( ssPv4 @ V ) ) | ( ~( ssPv1 @ V ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause5])).
% 9.63/1.98 thf(zip_derived_cl4, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | (ssPv2 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_24])).
% 9.63/1.98 thf(zip_derived_cl43, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(clause41, conjecture,
% 9.63/1.98 (~( ( ~( ssPv1 @ V ) ) | ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ V @ X ) ) |
% 9.63/1.98 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssPv2 @ U ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.98 thf(zf_stmt_25, negated_conjecture,
% 9.63/1.98 (( ~( ssPv1 @ V ) ) | ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ V @ X ) ) |
% 9.63/1.98 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssPv2 @ U ) ) |
% 9.63/1.98 ( ~( ssRr @ U @ V ) )),
% 9.63/1.98 inference('cnf.neg', [status(esa)], [clause41])).
% 9.63/1.98 thf(zip_derived_cl40, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.63/1.98 (~ (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X1)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ X2)
% 9.63/1.98 | ~ (ssRr @ X0 @ X2)
% 9.63/1.98 | ~ (ssPv2 @ X3)
% 9.63/1.98 | ~ (ssRr @ X3 @ X0))),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_25])).
% 9.63/1.98 thf(zip_derived_cl1177, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.98 (~ (ssRr @ X2 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ X2)
% 9.63/1.98 | ~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X1))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl40])).
% 9.63/1.98 thf(zip_derived_cl1185, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ X1)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1177])).
% 9.63/1.98 thf(zip_derived_cl1188, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ X1)
% 9.63/1.98 | ~ (ssPv1 @ X1)
% 9.63/1.98 | ~ (ssPv1 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl1185])).
% 9.63/1.98 thf(zip_derived_cl1193, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssPv1 @ X1)
% 9.63/1.98 | ~ (ssPv2 @ X1)
% 9.63/1.98 | ~ (ssRr @ X0 @ X1)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl1188])).
% 9.63/1.98 thf(zip_derived_cl1201, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1193])).
% 9.63/1.98 thf(zip_derived_cl2838, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv2 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl2802, zip_derived_cl1201])).
% 9.63/1.98 thf(zip_derived_cl2845, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 (~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2838])).
% 9.63/1.98 thf(zip_derived_cl829, plain,
% 9.63/1.98 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ X0) | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl827])).
% 9.63/1.98 thf(zip_derived_cl2847, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl2845, zip_derived_cl829])).
% 9.63/1.98 thf(zip_derived_cl2777, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X0)
% 9.63/1.98 | (ssPv3 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl2732, zip_derived_cl829])).
% 9.63/1.98 thf(zip_derived_cl2848, plain,
% 9.63/1.98 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv1 @ X0) | (ssPv3 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl2847, zip_derived_cl2777])).
% 9.63/1.98 thf(zip_derived_cl2916, plain,
% 9.63/1.98 (![X0 : $i]: ( (ssPv1 @ (skf3 @ X0)) | (ssPv3 @ X0) | (ssPv2 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl2915, zip_derived_cl2848])).
% 9.63/1.98 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.98 thf(zip_derived_cl687, plain,
% 9.63/1.98 (![X0 : $i, X1 : $i]:
% 9.63/1.98 (~ (ssRr @ X1 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ X1)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X1)
% 9.63/1.98 | (ssPv2 @ X0))),
% 9.63/1.98 inference('eq_fact', [status(thm)], [zip_derived_cl17])).
% 9.63/1.98 thf(zip_derived_cl689, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | ~ (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl687])).
% 9.63/1.98 thf(zip_derived_cl2921, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv2 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl2916, zip_derived_cl689])).
% 9.63/1.98 thf(zip_derived_cl2928, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0))),
% 9.63/1.98 inference('simplify', [status(thm)], [zip_derived_cl2921])).
% 9.63/1.98 thf(zip_derived_cl829, plain,
% 9.63/1.98 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ X0) | (ssPv4 @ X0))),
% 9.63/1.98 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl827])).
% 9.63/1.98 thf(zip_derived_cl2931, plain,
% 9.63/1.98 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ X0) | (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl2928, zip_derived_cl829])).
% 9.63/1.98 thf(zip_derived_cl3104, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv1 @ X0)
% 9.63/1.98 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.98 | (ssPv2 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl3103, zip_derived_cl2931])).
% 9.63/1.98 thf(zip_derived_cl2848, plain,
% 9.63/1.98 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv1 @ X0) | (ssPv3 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl2847, zip_derived_cl2777])).
% 9.63/1.98 thf(zip_derived_cl3105, plain,
% 9.63/1.98 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv2 @ (skf3 @ X0)) | (ssPv3 @ X0))),
% 9.63/1.98 inference('clc', [status(thm)], [zip_derived_cl3104, zip_derived_cl2848])).
% 9.63/1.98 thf(zip_derived_cl3107, plain,
% 9.63/1.98 (![X0 : $i]:
% 9.63/1.98 ( (ssPv3 @ X0)
% 9.63/1.98 | (ssPv2 @ X0)
% 9.63/1.98 | ~ (ssPv4 @ X0)
% 9.63/1.98 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3105])).
% 9.63/1.99 thf(zip_derived_cl3115, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv2 @ X0) | (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3107])).
% 9.63/1.99 thf(zip_derived_cl829, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ X0) | (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl827])).
% 9.63/1.99 thf(zip_derived_cl3120, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3115, zip_derived_cl829])).
% 9.63/1.99 thf(zip_derived_cl45, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 9.63/1.99 thf(zip_derived_cl3122, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3120, zip_derived_cl45])).
% 9.63/1.99 thf(zip_derived_cl2321, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl2309])).
% 9.63/1.99 thf(zip_derived_cl2231, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2229, zip_derived_cl1882])).
% 9.63/1.99 thf(zip_derived_cl2334, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl2321, zip_derived_cl2231])).
% 9.63/1.99 thf(zip_derived_cl2345, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv2 @ X0) | ~ (ssPv4 @ X0) | (ssPv3 @ X0) | (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl2334])).
% 9.63/1.99 thf(zip_derived_cl2246, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2245, zip_derived_cl628])).
% 9.63/1.99 thf(zip_derived_cl2351, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2345, zip_derived_cl2246])).
% 9.63/1.99 thf(zip_derived_cl3242, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ (skf3 @ X0)) | (ssPv1 @ X0) | (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3122, zip_derived_cl2351])).
% 9.63/1.99 thf(zip_derived_cl5485, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv1 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5473, zip_derived_cl3242])).
% 9.63/1.99 thf(zip_derived_cl3120, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3115, zip_derived_cl829])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl5, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_7])).
% 9.63/1.99 thf(zip_derived_cl44, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(clause40, conjecture,
% 9.63/1.99 (~( ( ~( ssPv3 @ V ) ) | ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ V @ X ) ) |
% 9.63/1.99 ( ~( ssPv1 @ W ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv3 @ U ) ) |
% 9.63/1.99 ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.99 thf(zf_stmt_26, negated_conjecture,
% 9.63/1.99 (( ~( ssPv3 @ V ) ) | ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ V @ X ) ) |
% 9.63/1.99 ( ~( ssPv1 @ W ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv3 @ U ) ) |
% 9.63/1.99 ( ~( ssRr @ U @ V ) )),
% 9.63/1.99 inference('cnf.neg', [status(esa)], [clause40])).
% 9.63/1.99 thf(zip_derived_cl39, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X2)
% 9.63/1.99 | ~ (ssRr @ X2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X3)
% 9.63/1.99 | ~ (ssRr @ X3 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_26])).
% 9.63/1.99 thf(zip_derived_cl1079, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X1)
% 9.63/1.99 | ~ (ssRr @ X2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X2)
% 9.63/1.99 | ~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl39])).
% 9.63/1.99 thf(zip_derived_cl1089, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X2)
% 9.63/1.99 | ~ (ssRr @ X2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl1079])).
% 9.63/1.99 thf(zip_derived_cl1095, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 (~ (ssRr @ X2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X2)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl1089])).
% 9.63/1.99 thf(zip_derived_cl2289, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2243, zip_derived_cl50])).
% 9.63/1.99 thf(zip_derived_cl3105, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv2 @ (skf3 @ X0)) | (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3104, zip_derived_cl2848])).
% 9.63/1.99 thf(zip_derived_cl3108, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl2289, zip_derived_cl3105])).
% 9.63/1.99 thf(zip_derived_cl3116, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0) | ~ (ssPv4 @ X0) | (ssPv3 @ X0) | (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3108])).
% 9.63/1.99 thf(zip_derived_cl2351, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2345, zip_derived_cl2246])).
% 9.63/1.99 thf(zip_derived_cl3154, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3116, zip_derived_cl2351])).
% 9.63/1.99 thf(zip_derived_cl4494, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X2)
% 9.63/1.99 | ~ (ssRr @ X2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl1095, zip_derived_cl3154])).
% 9.63/1.99 thf(zip_derived_cl4497, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('eq_fact', [status(thm)], [zip_derived_cl4494])).
% 9.63/1.99 thf(zip_derived_cl4499, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4497])).
% 9.63/1.99 thf(zip_derived_cl4500, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3120, zip_derived_cl4499])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(clause12, conjecture,
% 9.63/1.99 (~( ( ssPv2 @ W ) | ( ssPv4 @ U ) | ( ~( ssPv4 @ V ) ) |
% 9.63/1.99 ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.99 thf(zf_stmt_27, negated_conjecture,
% 9.63/1.99 (( ssPv2 @ W ) | ( ssPv4 @ U ) | ( ~( ssPv4 @ V ) ) | ( ~( ssPv1 @ V ) ) |
% 9.63/1.99 ( ~( ssRr @ W @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.99 inference('cnf.neg', [status(esa)], [clause12])).
% 9.63/1.99 thf(zip_derived_cl11, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X2)
% 9.63/1.99 | ~ (ssPv1 @ X2)
% 9.63/1.99 | ~ (ssRr @ X0 @ X2)
% 9.63/1.99 | ~ (ssRr @ X1 @ X2))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_27])).
% 9.63/1.99 thf(zip_derived_cl186, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ X1)
% 9.63/1.99 | (ssPv2 @ X1))),
% 9.63/1.99 inference('eq_fact', [status(thm)], [zip_derived_cl11])).
% 9.63/1.99 thf(zip_derived_cl192, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl186])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl1193, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl1188])).
% 9.63/1.99 thf(zip_derived_cl1202, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1193])).
% 9.63/1.99 thf(zip_derived_cl1215, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl1202])).
% 9.63/1.99 thf(zip_derived_cl1221, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl1215])).
% 9.63/1.99 thf(zip_derived_cl43, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 9.63/1.99 thf(zip_derived_cl1246, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl1221, zip_derived_cl43])).
% 9.63/1.99 thf(zip_derived_cl4522, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0) | ~ (ssPv1 @ (skf3 @ X0)) | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4500, zip_derived_cl1246])).
% 9.63/1.99 thf(zip_derived_cl5627, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv2 @ (skf3 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5485, zip_derived_cl4522])).
% 9.63/1.99 thf(zip_derived_cl475, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl473])).
% 9.63/1.99 thf(zip_derived_cl5630, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5627, zip_derived_cl475])).
% 9.63/1.99 thf(zip_derived_cl5646, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv3 @ (skf3 @ X0)) | (ssPv1 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5630])).
% 9.63/1.99 thf(zip_derived_cl2246, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2245, zip_derived_cl628])).
% 9.63/1.99 thf(zip_derived_cl5653, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5646, zip_derived_cl2246])).
% 9.63/1.99 thf(zip_derived_cl5627, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv2 @ (skf3 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5485, zip_derived_cl4522])).
% 9.63/1.99 thf(zip_derived_cl5706, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ (skf3 @ X0)) | (ssPv1 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5653, zip_derived_cl5627])).
% 9.63/1.99 thf(zip_derived_cl5646, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv3 @ (skf3 @ X0)) | (ssPv1 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5630])).
% 9.63/1.99 thf(zip_derived_cl4499, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4497])).
% 9.63/1.99 thf(zip_derived_cl5666, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5646, zip_derived_cl4499])).
% 9.63/1.99 thf(zip_derived_cl5674, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv1 @ (skf3 @ X0)) | (ssPv1 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5666])).
% 9.63/1.99 thf(zip_derived_cl5707, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5706, zip_derived_cl5674])).
% 9.63/1.99 thf(zip_derived_cl5473, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0)) | ~ (ssPv4 @ X0) | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5469, zip_derived_cl430])).
% 9.63/1.99 thf(zip_derived_cl5710, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf3 @ X0)) | ~ (ssPv4 @ X0) | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup+', [status(thm)], [zip_derived_cl5707, zip_derived_cl5473])).
% 9.63/1.99 thf(zip_derived_cl4522, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0) | ~ (ssPv1 @ (skf3 @ X0)) | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4500, zip_derived_cl1246])).
% 9.63/1.99 thf(zip_derived_cl5736, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ (skf3 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5710, zip_derived_cl4522])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(clause34, conjecture,
% 9.63/1.99 (~( ( ssPv3 @ X ) | ( ssPv4 @ W ) | ( ~( ssPv4 @ V ) ) |
% 9.63/1.99 ( ~( ssRr @ V @ X ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssPv2 @ U ) ) |
% 9.63/1.99 ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.99 thf(zf_stmt_28, negated_conjecture,
% 9.63/1.99 (( ssPv3 @ X ) | ( ssPv4 @ W ) | ( ~( ssPv4 @ V ) ) |
% 9.63/1.99 ( ~( ssRr @ V @ X ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssPv2 @ U ) ) |
% 9.63/1.99 ( ~( ssRr @ U @ V ) )),
% 9.63/1.99 inference('cnf.neg', [status(esa)], [clause34])).
% 9.63/1.99 thf(zip_derived_cl33, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.63/1.99 ( (ssPv3 @ X0)
% 9.63/1.99 | (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X2)
% 9.63/1.99 | ~ (ssRr @ X2 @ X0)
% 9.63/1.99 | ~ (ssRr @ X2 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X3)
% 9.63/1.99 | ~ (ssRr @ X3 @ X2))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_28])).
% 9.63/1.99 thf(zip_derived_cl1489, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 (~ (ssRr @ X2 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X2)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ X0))),
% 9.63/1.99 inference('eq_fact', [status(thm)], [zip_derived_cl33])).
% 9.63/1.99 thf(zip_derived_cl1492, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv3 @ X1)
% 9.63/1.99 | (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1489])).
% 9.63/1.99 thf(zip_derived_cl5741, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ X1)
% 9.63/1.99 | (ssPv3 @ X1))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5736, zip_derived_cl1492])).
% 9.63/1.99 thf(zip_derived_cl5753, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv3 @ X1) | (ssPv4 @ X1) | ~ (ssRr @ X0 @ X1) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5741])).
% 9.63/1.99 thf(zip_derived_cl5812, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ (skf3 @ X0)) | (ssPv4 @ X0) | (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5753])).
% 9.63/1.99 thf(zip_derived_cl5813, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl5812])).
% 9.63/1.99 thf(zip_derived_cl5814, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv3 @ (skf3 @ X0)) | (ssPv3 @ X0) | (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5813])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(clause31, conjecture,
% 9.63/1.99 (~( ( ssPv4 @ V ) | ( ssPv4 @ X ) | ( ~( ssRr @ V @ X ) ) |
% 9.63/1.99 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssPv3 @ U ) ) |
% 9.63/1.99 ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.99 thf(zf_stmt_29, negated_conjecture,
% 9.63/1.99 (( ssPv4 @ V ) | ( ssPv4 @ X ) | ( ~( ssRr @ V @ X ) ) |
% 9.63/1.99 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssPv3 @ U ) ) |
% 9.63/1.99 ( ~( ssRr @ U @ V ) )),
% 9.63/1.99 inference('cnf.neg', [status(esa)], [clause31])).
% 9.63/1.99 thf(zip_derived_cl30, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X2)
% 9.63/1.99 | ~ (ssRr @ X0 @ X2)
% 9.63/1.99 | ~ (ssPv3 @ X3)
% 9.63/1.99 | ~ (ssRr @ X3 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_29])).
% 9.63/1.99 thf(zip_derived_cl1243, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 (~ (ssRr @ X2 @ X1)
% 9.63/1.99 | ~ (ssPv3 @ X2)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ X1))),
% 9.63/1.99 inference('eq_fact', [status(thm)], [zip_derived_cl30])).
% 9.63/1.99 thf(zip_derived_cl1421, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1243])).
% 9.63/1.99 thf(zip_derived_cl5845, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | (ssPv4 @ X1)
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5814, zip_derived_cl1421])).
% 9.63/1.99 thf(zip_derived_cl5853, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5845])).
% 9.63/1.99 thf(zip_derived_cl7175, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5853])).
% 9.63/1.99 thf(zip_derived_cl3120, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3115, zip_derived_cl829])).
% 9.63/1.99 thf(zip_derived_cl863, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl856])).
% 9.63/1.99 thf(zip_derived_cl2579, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf3 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2577])).
% 9.63/1.99 thf(zip_derived_cl5736, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ (skf3 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5710, zip_derived_cl4522])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl3120, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3115, zip_derived_cl829])).
% 9.63/1.99 thf(zip_derived_cl120, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl115])).
% 9.63/1.99 thf(zip_derived_cl3123, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3120, zip_derived_cl120])).
% 9.63/1.99 thf(zip_derived_cl160, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl159])).
% 9.63/1.99 thf(zip_derived_cl3190, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3123, zip_derived_cl160])).
% 9.63/1.99 thf(zip_derived_cl3206, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3190])).
% 9.63/1.99 thf(zip_derived_cl388, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl381])).
% 9.63/1.99 thf(zip_derived_cl3284, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3206, zip_derived_cl388])).
% 9.63/1.99 thf(zip_derived_cl1185, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1177])).
% 9.63/1.99 thf(zip_derived_cl3289, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3284, zip_derived_cl1185])).
% 9.63/1.99 thf(zip_derived_cl2246, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2245, zip_derived_cl628])).
% 9.63/1.99 thf(zip_derived_cl3504, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3289, zip_derived_cl2246])).
% 9.63/1.99 thf(zip_derived_cl3506, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3504])).
% 9.63/1.99 thf(zip_derived_cl5745, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5736, zip_derived_cl3506])).
% 9.63/1.99 thf(zip_derived_cl5707, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5706, zip_derived_cl5674])).
% 9.63/1.99 thf(zip_derived_cl6027, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5745, zip_derived_cl5707])).
% 9.63/1.99 thf(zip_derived_cl2704, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl2700])).
% 9.63/1.99 thf(zip_derived_cl3120, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3115, zip_derived_cl829])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl5404, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1782])).
% 9.63/1.99 thf(zip_derived_cl5406, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5404])).
% 9.63/1.99 thf(zip_derived_cl5408, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3120, zip_derived_cl5406])).
% 9.63/1.99 thf(zip_derived_cl5421, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl2704, zip_derived_cl5408])).
% 9.63/1.99 thf(zip_derived_cl5430, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5421])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl43, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl3120, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3115, zip_derived_cl829])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(clause42, conjecture,
% 9.63/1.99 (~( ( ~( ssPv1 @ V ) ) | ( ~( ssPv3 @ X ) ) | ( ~( ssRr @ V @ X ) ) |
% 9.63/1.99 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv4 @ U ) ) |
% 9.63/1.99 ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.99 thf(zf_stmt_30, negated_conjecture,
% 9.63/1.99 (( ~( ssPv1 @ V ) ) | ( ~( ssPv3 @ X ) ) | ( ~( ssRr @ V @ X ) ) |
% 9.63/1.99 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv4 @ U ) ) |
% 9.63/1.99 ( ~( ssRr @ U @ V ) )),
% 9.63/1.99 inference('cnf.neg', [status(esa)], [clause42])).
% 9.63/1.99 thf(zip_derived_cl41, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X2)
% 9.63/1.99 | ~ (ssRr @ X2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X3)
% 9.63/1.99 | ~ (ssRr @ X3 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_30])).
% 9.63/1.99 thf(zip_derived_cl1515, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssRr @ X2 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X2)
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl41])).
% 9.63/1.99 thf(zip_derived_cl3144, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X2)
% 9.63/1.99 | ~ (ssRr @ X2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3120, zip_derived_cl1515])).
% 9.63/1.99 thf(zip_derived_cl3814, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3144])).
% 9.63/1.99 thf(zip_derived_cl3833, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl3814])).
% 9.63/1.99 thf(zip_derived_cl3842, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3833])).
% 9.63/1.99 thf(zip_derived_cl2246, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2245, zip_derived_cl628])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl43, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 9.63/1.99 thf(zip_derived_cl1492, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv3 @ X1)
% 9.63/1.99 | (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1489])).
% 9.63/1.99 thf(zip_derived_cl1494, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ X1)
% 9.63/1.99 | (ssPv3 @ X1))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl1492])).
% 9.63/1.99 thf(zip_derived_cl1502, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv3 @ X1)
% 9.63/1.99 | (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl1494])).
% 9.63/1.99 thf(zip_derived_cl1536, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1502])).
% 9.63/1.99 thf(zip_derived_cl3154, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3116, zip_derived_cl2351])).
% 9.63/1.99 thf(zip_derived_cl3173, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1536, zip_derived_cl3154])).
% 9.63/1.99 thf(zip_derived_cl3181, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3173])).
% 9.63/1.99 thf(zip_derived_cl3457, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup+', [status(thm)], [zip_derived_cl2246, zip_derived_cl3181])).
% 9.63/1.99 thf(zip_derived_cl3458, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3457])).
% 9.63/1.99 thf(zip_derived_cl1201, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1193])).
% 9.63/1.99 thf(zip_derived_cl3470, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3458, zip_derived_cl1201])).
% 9.63/1.99 thf(zip_derived_cl4121, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3842, zip_derived_cl3470])).
% 9.63/1.99 thf(zip_derived_cl4123, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4121])).
% 9.63/1.99 thf(zip_derived_cl5534, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5430, zip_derived_cl4123])).
% 9.63/1.99 thf(zip_derived_cl5558, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5534])).
% 9.63/1.99 thf(zip_derived_cl44, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl4121, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3842, zip_derived_cl3470])).
% 9.63/1.99 thf(zip_derived_cl4122, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4121])).
% 9.63/1.99 thf(zip_derived_cl4133, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl4122])).
% 9.63/1.99 thf(zip_derived_cl4140, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl4133])).
% 9.63/1.99 thf(zip_derived_cl2704, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl2700])).
% 9.63/1.99 thf(zip_derived_cl44, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl4, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_24])).
% 9.63/1.99 thf(zip_derived_cl42, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 9.63/1.99 thf(zip_derived_cl46, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl42])).
% 9.63/1.99 thf(zip_derived_cl2710, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl2704, zip_derived_cl46])).
% 9.63/1.99 thf(zip_derived_cl2728, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl2710])).
% 9.63/1.99 thf(zip_derived_cl2351, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2345, zip_derived_cl2246])).
% 9.63/1.99 thf(zip_derived_cl2747, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2728, zip_derived_cl2351])).
% 9.63/1.99 thf(zip_derived_cl4145, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4140, zip_derived_cl2747])).
% 9.63/1.99 thf(zip_derived_cl3154, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3116, zip_derived_cl2351])).
% 9.63/1.99 thf(zip_derived_cl4146, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ (skf2 @ X0)) | ~ (ssPv4 @ X0) | (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4145, zip_derived_cl3154])).
% 9.63/1.99 thf(zip_derived_cl5565, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ (skf2 @ X0)) | (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5558, zip_derived_cl4146])).
% 9.63/1.99 thf(zip_derived_cl2246, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2245, zip_derived_cl628])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl5753, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv3 @ X1) | (ssPv4 @ X1) | ~ (ssRr @ X0 @ X1) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5741])).
% 9.63/1.99 thf(zip_derived_cl5811, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0) | (ssPv4 @ (skf2 @ X0)) | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5753])).
% 9.63/1.99 thf(zip_derived_cl5707, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5706, zip_derived_cl5674])).
% 9.63/1.99 thf(zip_derived_cl5816, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf2 @ X0)) | ~ (ssPv4 @ X0) | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5811, zip_derived_cl5707])).
% 9.63/1.99 thf(zip_derived_cl5877, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup+', [status(thm)], [zip_derived_cl2246, zip_derived_cl5816])).
% 9.63/1.99 thf(zip_derived_cl5878, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0) | (ssPv1 @ (skf2 @ X0)) | ~ (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5877])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl5736, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ (skf3 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5710, zip_derived_cl4522])).
% 9.63/1.99 thf(zip_derived_cl1185, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1177])).
% 9.63/1.99 thf(zip_derived_cl5740, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5736, zip_derived_cl1185])).
% 9.63/1.99 thf(zip_derived_cl5707, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5706, zip_derived_cl5674])).
% 9.63/1.99 thf(zip_derived_cl5760, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X1) | ~ (ssPv2 @ X1) | ~ (ssRr @ X0 @ X1) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5740, zip_derived_cl5707])).
% 9.63/1.99 thf(zip_derived_cl5761, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0) | ~ (ssPv2 @ (skf2 @ X0)) | ~ (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5760])).
% 9.63/1.99 thf(zip_derived_cl5904, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv2 @ (skf2 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5878, zip_derived_cl5761])).
% 9.63/1.99 thf(zip_derived_cl5906, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5565, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl5916, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5906])).
% 9.63/1.99 thf(zip_derived_cl6028, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0) | ~ (ssPv3 @ (skf3 @ X0)) | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6027, zip_derived_cl5916])).
% 9.63/1.99 thf(zip_derived_cl6032, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf3 @ (skf2 @ X0)))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl2579, zip_derived_cl6028])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl5736, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ (skf3 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5710, zip_derived_cl4522])).
% 9.63/1.99 thf(zip_derived_cl3814, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3144])).
% 9.63/1.99 thf(zip_derived_cl5746, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5736, zip_derived_cl3814])).
% 9.63/1.99 thf(zip_derived_cl5904, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv2 @ (skf2 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5878, zip_derived_cl5761])).
% 9.63/1.99 thf(zip_derived_cl6520, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0) | ~ (ssPv4 @ X1) | ~ (ssPv1 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5746, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl5707, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5706, zip_derived_cl5674])).
% 9.63/1.99 thf(zip_derived_cl6521, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0) | ~ (ssPv4 @ X1) | ~ (ssRr @ X1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6520, zip_derived_cl5707])).
% 9.63/1.99 thf(zip_derived_cl6523, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ (skf3 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6521])).
% 9.63/1.99 thf(zip_derived_cl6746, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ (skf2 @ X0)) | (ssPv2 @ X0) | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6032, zip_derived_cl6523])).
% 9.63/1.99 thf(zip_derived_cl6749, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv3 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl863, zip_derived_cl6746])).
% 9.63/1.99 thf(zip_derived_cl6755, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl6749])).
% 9.63/1.99 thf(zip_derived_cl5916, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5906])).
% 9.63/1.99 thf(zip_derived_cl6773, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv3 @ (skf2 @ (skf2 @ X0))))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6755, zip_derived_cl5916])).
% 9.63/1.99 thf(zip_derived_cl388, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl381])).
% 9.63/1.99 thf(zip_derived_cl5916, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5906])).
% 9.63/1.99 thf(zip_derived_cl92, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl77])).
% 9.63/1.99 thf(zip_derived_cl5918, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('sup+', [status(thm)], [zip_derived_cl5916, zip_derived_cl92])).
% 9.63/1.99 thf(zip_derived_cl5736, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ (skf3 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5710, zip_derived_cl4522])).
% 9.63/1.99 thf(zip_derived_cl6330, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0)) | ~ (ssPv3 @ X0) | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5918, zip_derived_cl5736])).
% 9.63/1.99 thf(zip_derived_cl160, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl159])).
% 9.63/1.99 thf(zip_derived_cl6332, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6330, zip_derived_cl160])).
% 9.63/1.99 thf(zip_derived_cl6350, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl6332])).
% 9.63/1.99 thf(zip_derived_cl5736, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ (skf3 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5710, zip_derived_cl4522])).
% 9.63/1.99 thf(zip_derived_cl6378, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0) | (ssPv2 @ (skf3 @ X0)) | ~ (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6350, zip_derived_cl5736])).
% 9.63/1.99 thf(zip_derived_cl6380, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl388, zip_derived_cl6378])).
% 9.63/1.99 thf(zip_derived_cl6387, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv2 @ (skf3 @ X0)) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl6380])).
% 9.63/1.99 thf(zip_derived_cl5736, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ (skf3 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5710, zip_derived_cl4522])).
% 9.63/1.99 thf(zip_derived_cl6390, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6387, zip_derived_cl5736])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl2777, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2732, zip_derived_cl829])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl2184, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2160])).
% 9.63/1.99 thf(zip_derived_cl2195, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2184])).
% 9.63/1.99 thf(zip_derived_cl2787, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl2777, zip_derived_cl2195])).
% 9.63/1.99 thf(zip_derived_cl2800, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl2787])).
% 9.63/1.99 thf(zip_derived_cl2848, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv1 @ X0) | (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2847, zip_derived_cl2777])).
% 9.63/1.99 thf(zip_derived_cl2881, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2800, zip_derived_cl2848])).
% 9.63/1.99 thf(zip_derived_cl517, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl516, zip_derived_cl48])).
% 9.63/1.99 thf(zip_derived_cl2882, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv4 @ (skf3 @ X0)) | (ssPv2 @ X0) | (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2881, zip_derived_cl517])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl1619, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 (~ (ssRr @ X2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X2)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | (ssPv1 @ X1)
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('eq_fact', [status(thm)], [zip_derived_cl34])).
% 9.63/1.99 thf(zip_derived_cl1622, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1619])).
% 9.63/1.99 thf(zip_derived_cl2892, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | (ssPv1 @ X1)
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl2882, zip_derived_cl1622])).
% 9.63/1.99 thf(zip_derived_cl2901, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl2892])).
% 9.63/1.99 thf(zip_derived_cl3013, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2901])).
% 9.63/1.99 thf(zip_derived_cl851, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0) | (ssPv2 @ (skf2 @ X0)) | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl839])).
% 9.63/1.99 thf(zip_derived_cl3018, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0) | (ssPv2 @ (skf2 @ X0)) | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3013, zip_derived_cl851])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(clause26, conjecture,
% 9.63/1.99 (~( ( ssPv1 @ V ) | ( ~( ssPv3 @ V ) ) | ( ~( ssPv3 @ W ) ) |
% 9.63/1.99 ( ~( ssRr @ V @ W ) ) | ( ~( ssPv2 @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.99 thf(zf_stmt_31, negated_conjecture,
% 9.63/1.99 (( ssPv1 @ V ) | ( ~( ssPv3 @ V ) ) | ( ~( ssPv3 @ W ) ) |
% 9.63/1.99 ( ~( ssRr @ V @ W ) ) | ( ~( ssPv2 @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.99 inference('cnf.neg', [status(esa)], [clause26])).
% 9.63/1.99 thf(zip_derived_cl25, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X2)
% 9.63/1.99 | ~ (ssRr @ X2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_31])).
% 9.63/1.99 thf(zip_derived_cl264, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl25])).
% 9.63/1.99 thf(zip_derived_cl3024, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3018, zip_derived_cl264])).
% 9.63/1.99 thf(zip_derived_cl3035, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3024])).
% 9.63/1.99 thf(zip_derived_cl3059, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3035])).
% 9.63/1.99 thf(zip_derived_cl6394, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6390, zip_derived_cl3059])).
% 9.63/1.99 thf(zip_derived_cl6403, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ (skf2 @ X0)) | (ssPv1 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl6394])).
% 9.63/1.99 thf(zip_derived_cl160, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl159])).
% 9.63/1.99 thf(zip_derived_cl6411, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6403, zip_derived_cl160])).
% 9.63/1.99 thf(zip_derived_cl6428, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl6411])).
% 9.63/1.99 thf(zip_derived_cl5707, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5706, zip_derived_cl5674])).
% 9.63/1.99 thf(zip_derived_cl6434, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv1 @ X0) | ~ (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6428, zip_derived_cl5707])).
% 9.63/1.99 thf(zip_derived_cl6781, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6773, zip_derived_cl6434])).
% 9.63/1.99 thf(zip_derived_cl2246, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2245, zip_derived_cl628])).
% 9.63/1.99 thf(zip_derived_cl6798, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ (skf2 @ X0)) | (ssPv1 @ (skf2 @ X0)) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6781, zip_derived_cl2246])).
% 9.63/1.99 thf(zip_derived_cl6799, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0)) | (ssPv2 @ X0) | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3120, zip_derived_cl6798])).
% 9.63/1.99 thf(zip_derived_cl5707, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5706, zip_derived_cl5674])).
% 9.63/1.99 thf(zip_derived_cl863, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl856])).
% 9.63/1.99 thf(zip_derived_cl5717, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup+', [status(thm)], [zip_derived_cl5707, zip_derived_cl863])).
% 9.63/1.99 thf(zip_derived_cl5916, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5906])).
% 9.63/1.99 thf(zip_derived_cl6065, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ (skf2 @ (skf2 @ X0))))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5717, zip_derived_cl5916])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl92, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl77])).
% 9.63/1.99 thf(zip_derived_cl92, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl77])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl4497, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('eq_fact', [status(thm)], [zip_derived_cl4494])).
% 9.63/1.99 thf(zip_derived_cl4498, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4497])).
% 9.63/1.99 thf(zip_derived_cl4510, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl4498])).
% 9.63/1.99 thf(zip_derived_cl4518, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl4510])).
% 9.63/1.99 thf(zip_derived_cl3120, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3115, zip_derived_cl829])).
% 9.63/1.99 thf(zip_derived_cl161, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl159])).
% 9.63/1.99 thf(zip_derived_cl3124, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3120, zip_derived_cl161])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl22, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X2)
% 9.63/1.99 | ~ (ssRr @ X2 @ X1))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_11])).
% 9.63/1.99 thf(zip_derived_cl130, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl22])).
% 9.63/1.99 thf(zip_derived_cl146, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 9.63/1.99 thf(zip_derived_cl3213, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3124, zip_derived_cl146])).
% 9.63/1.99 thf(zip_derived_cl43, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 9.63/1.99 thf(zip_derived_cl3900, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3213, zip_derived_cl43])).
% 9.63/1.99 thf(zip_derived_cl44, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 9.63/1.99 thf(zip_derived_cl3901, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3900, zip_derived_cl44])).
% 9.63/1.99 thf(zip_derived_cl4608, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4518, zip_derived_cl3901])).
% 9.63/1.99 thf(zip_derived_cl3123, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3120, zip_derived_cl120])).
% 9.63/1.99 thf(zip_derived_cl81, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl66])).
% 9.63/1.99 thf(zip_derived_cl3187, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3123, zip_derived_cl81])).
% 9.63/1.99 thf(zip_derived_cl3204, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3187])).
% 9.63/1.99 thf(zip_derived_cl3284, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3206, zip_derived_cl388])).
% 9.63/1.99 thf(zip_derived_cl3327, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3204, zip_derived_cl3284])).
% 9.63/1.99 thf(zip_derived_cl2351, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2345, zip_derived_cl2246])).
% 9.63/1.99 thf(zip_derived_cl3328, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3327, zip_derived_cl2351])).
% 9.63/1.99 thf(zip_derived_cl3123, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3120, zip_derived_cl120])).
% 9.63/1.99 thf(zip_derived_cl3418, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3328, zip_derived_cl3123])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl3144, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X2)
% 9.63/1.99 | ~ (ssRr @ X2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3120, zip_derived_cl1515])).
% 9.63/1.99 thf(zip_derived_cl3815, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('eq_fact', [status(thm)], [zip_derived_cl3144])).
% 9.63/1.99 thf(zip_derived_cl3816, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | ~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3815])).
% 9.63/1.99 thf(zip_derived_cl3827, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ (skf2 @ X0))))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3418, zip_derived_cl3816])).
% 9.63/1.99 thf(zip_derived_cl3832, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3827])).
% 9.63/1.99 thf(zip_derived_cl3284, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3206, zip_derived_cl388])).
% 9.63/1.99 thf(zip_derived_cl3880, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ (skf2 @ X0))))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3832, zip_derived_cl3284])).
% 9.63/1.99 thf(zip_derived_cl3470, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3458, zip_derived_cl1201])).
% 9.63/1.99 thf(zip_derived_cl3893, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3880, zip_derived_cl3470])).
% 9.63/1.99 thf(zip_derived_cl42, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 9.63/1.99 thf(zip_derived_cl4354, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3893, zip_derived_cl42])).
% 9.63/1.99 thf(zip_derived_cl4623, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl4608, zip_derived_cl4354])).
% 9.63/1.99 thf(zip_derived_cl4630, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl4623])).
% 9.63/1.99 thf(zip_derived_cl688, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl687])).
% 9.63/1.99 thf(zip_derived_cl4631, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4630, zip_derived_cl688])).
% 9.63/1.99 thf(zip_derived_cl4633, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl4631])).
% 9.63/1.99 thf(zip_derived_cl4641, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl4633])).
% 9.63/1.99 thf(zip_derived_cl3120, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3115, zip_derived_cl829])).
% 9.63/1.99 thf(zip_derived_cl388, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl381])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl23, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv3 @ X2)
% 9.63/1.99 | ~ (ssRr @ X0 @ X2))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_19])).
% 9.63/1.99 thf(zip_derived_cl158, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ (skf3 @ X0) @ X1)
% 9.63/1.99 | ~ (ssPv3 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 9.63/1.99 thf(zip_derived_cl164, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ (skf3 @ X0))))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl158])).
% 9.63/1.99 thf(zip_derived_cl421, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl388, zip_derived_cl164])).
% 9.63/1.99 thf(zip_derived_cl425, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl421])).
% 9.63/1.99 thf(zip_derived_cl3128, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3120, zip_derived_cl425])).
% 9.63/1.99 thf(zip_derived_cl3120, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3115, zip_derived_cl829])).
% 9.63/1.99 thf(zip_derived_cl192, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl186])).
% 9.63/1.99 thf(zip_derived_cl60, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.99 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl56])).
% 9.63/1.99 thf(zip_derived_cl194, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv3 @ (skf3 @ (skf3 @ X0))))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl60])).
% 9.63/1.99 thf(zip_derived_cl198, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl194])).
% 9.63/1.99 thf(zip_derived_cl3125, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv3 @ (skf3 @ (skf3 @ X0))))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3120, zip_derived_cl198])).
% 9.63/1.99 thf(zip_derived_cl3151, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3125])).
% 9.63/1.99 thf(zip_derived_cl2246, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2245, zip_derived_cl628])).
% 9.63/1.99 thf(zip_derived_cl3311, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.99 | (ssPv1 @ (skf3 @ (skf3 @ X0))))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3151, zip_derived_cl2246])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl3151, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3125])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl39, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X2)
% 9.63/1.99 | ~ (ssRr @ X2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X3)
% 9.63/1.99 | ~ (ssRr @ X3 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_26])).
% 9.63/1.99 thf(zip_derived_cl1080, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X1)
% 9.63/1.99 | ~ (ssRr @ X2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X2)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl39])).
% 9.63/1.99 thf(zip_derived_cl1097, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ (skf3 @ X0))))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1080])).
% 9.63/1.99 thf(zip_derived_cl3323, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssRr @ X1 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3151, zip_derived_cl1097])).
% 9.63/1.99 thf(zip_derived_cl3326, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3323])).
% 9.63/1.99 thf(zip_derived_cl3120, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3115, zip_derived_cl829])).
% 9.63/1.99 thf(zip_derived_cl3590, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssRr @ X1 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X1))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3326, zip_derived_cl3120])).
% 9.63/1.99 thf(zip_derived_cl3591, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3590])).
% 9.63/1.99 thf(zip_derived_cl3916, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv2 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3311, zip_derived_cl3591])).
% 9.63/1.99 thf(zip_derived_cl3920, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3128, zip_derived_cl3916])).
% 9.63/1.99 thf(zip_derived_cl3927, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3920])).
% 9.63/1.99 thf(zip_derived_cl2351, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2345, zip_derived_cl2246])).
% 9.63/1.99 thf(zip_derived_cl3930, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3927, zip_derived_cl2351])).
% 9.63/1.99 thf(zip_derived_cl146, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 9.63/1.99 thf(zip_derived_cl3934, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3930, zip_derived_cl146])).
% 9.63/1.99 thf(zip_derived_cl3957, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3934])).
% 9.63/1.99 thf(zip_derived_cl2351, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2345, zip_derived_cl2246])).
% 9.63/1.99 thf(zip_derived_cl3964, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3957, zip_derived_cl2351])).
% 9.63/1.99 thf(zip_derived_cl4354, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3893, zip_derived_cl42])).
% 9.63/1.99 thf(zip_derived_cl4360, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3964, zip_derived_cl4354])).
% 9.63/1.99 thf(zip_derived_cl4366, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl4360])).
% 9.63/1.99 thf(zip_derived_cl3327, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3204, zip_derived_cl3284])).
% 9.63/1.99 thf(zip_derived_cl4371, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4366, zip_derived_cl3327])).
% 9.63/1.99 thf(zip_derived_cl2704, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl2700])).
% 9.63/1.99 thf(zip_derived_cl192, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl186])).
% 9.63/1.99 thf(zip_derived_cl146, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl130])).
% 9.63/1.99 thf(zip_derived_cl195, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl146])).
% 9.63/1.99 thf(zip_derived_cl199, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl195])).
% 9.63/1.99 thf(zip_derived_cl4122, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4121])).
% 9.63/1.99 thf(zip_derived_cl4134, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl199, zip_derived_cl4122])).
% 9.63/1.99 thf(zip_derived_cl4141, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl4134])).
% 9.63/1.99 thf(zip_derived_cl4146, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ (skf2 @ X0)) | ~ (ssPv4 @ X0) | (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4145, zip_derived_cl3154])).
% 9.63/1.99 thf(zip_derived_cl4176, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4141, zip_derived_cl4146])).
% 9.63/1.99 thf(zip_derived_cl4180, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl2704, zip_derived_cl4176])).
% 9.63/1.99 thf(zip_derived_cl4188, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl4180])).
% 9.63/1.99 thf(zip_derived_cl4372, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4371, zip_derived_cl4188])).
% 9.63/1.99 thf(zip_derived_cl4682, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4641, zip_derived_cl4372])).
% 9.63/1.99 thf(zip_derived_cl3470, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3458, zip_derived_cl1201])).
% 9.63/1.99 thf(zip_derived_cl4694, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl4682, zip_derived_cl3470])).
% 9.63/1.99 thf(zip_derived_cl4710, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl4694])).
% 9.63/1.99 thf(zip_derived_cl4682, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4641, zip_derived_cl4372])).
% 9.63/1.99 thf(zip_derived_cl160, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl159])).
% 9.63/1.99 thf(zip_derived_cl4685, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl4682, zip_derived_cl160])).
% 9.63/1.99 thf(zip_derived_cl4703, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl4685])).
% 9.63/1.99 thf(zip_derived_cl388, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl381])).
% 9.63/1.99 thf(zip_derived_cl4715, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4703, zip_derived_cl388])).
% 9.63/1.99 thf(zip_derived_cl4770, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4710, zip_derived_cl4715])).
% 9.63/1.99 thf(zip_derived_cl3120, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3115, zip_derived_cl829])).
% 9.63/1.99 thf(zip_derived_cl4771, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv2 @ (skf3 @ X0)) | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4770, zip_derived_cl3120])).
% 9.63/1.99 thf(zip_derived_cl1185, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1177])).
% 9.63/1.99 thf(zip_derived_cl4776, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl4771, zip_derived_cl1185])).
% 9.63/1.99 thf(zip_derived_cl4789, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl4776])).
% 9.63/1.99 thf(zip_derived_cl4797, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4789])).
% 9.63/1.99 thf(zip_derived_cl6076, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6065, zip_derived_cl4797])).
% 9.63/1.99 thf(zip_derived_cl6079, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl6076])).
% 9.63/1.99 thf(zip_derived_cl5916, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5906])).
% 9.63/1.99 thf(zip_derived_cl863, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl856])).
% 9.63/1.99 thf(zip_derived_cl5921, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup+', [status(thm)], [zip_derived_cl5916, zip_derived_cl863])).
% 9.63/1.99 thf(zip_derived_cl5916, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5906])).
% 9.63/1.99 thf(zip_derived_cl6197, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ (skf2 @ X0))))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5921, zip_derived_cl5916])).
% 9.63/1.99 thf(zip_derived_cl6524, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0)) | (ssPv2 @ X0) | ~ (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6079, zip_derived_cl6197])).
% 9.63/1.99 thf(zip_derived_cl6811, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6799, zip_derived_cl6524])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl311, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ X1))),
% 9.63/1.99 inference('eq_fact', [status(thm)], [zip_derived_cl13])).
% 9.63/1.99 thf(zip_derived_cl316, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl311])).
% 9.63/1.99 thf(zip_derived_cl6814, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6811, zip_derived_cl316])).
% 9.63/1.99 thf(zip_derived_cl5916, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5906])).
% 9.63/1.99 thf(zip_derived_cl6848, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv4 @ (skf2 @ X0)) | ~ (ssPv1 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6814, zip_derived_cl5916])).
% 9.63/1.99 thf(zip_derived_cl5707, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5706, zip_derived_cl5674])).
% 9.63/1.99 thf(zip_derived_cl6849, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv1 @ X0) | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6848, zip_derived_cl5707])).
% 9.63/1.99 thf(zip_derived_cl6811, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6799, zip_derived_cl6524])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl3124, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3120, zip_derived_cl161])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl5760, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X1) | ~ (ssPv2 @ X1) | ~ (ssRr @ X0 @ X1) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5740, zip_derived_cl5707])).
% 9.63/1.99 thf(zip_derived_cl5762, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ (skf3 @ X0)) | ~ (ssPv2 @ X0) | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5760])).
% 9.63/1.99 thf(zip_derived_cl5764, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3124, zip_derived_cl5762])).
% 9.63/1.99 thf(zip_derived_cl5765, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5764])).
% 9.63/1.99 thf(zip_derived_cl2246, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2245, zip_derived_cl628])).
% 9.63/1.99 thf(zip_derived_cl5785, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv3 @ X0) | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5765, zip_derived_cl2246])).
% 9.63/1.99 thf(zip_derived_cl1185, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1177])).
% 9.63/1.99 thf(zip_derived_cl5789, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5785, zip_derived_cl1185])).
% 9.63/1.99 thf(zip_derived_cl4789, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl4776])).
% 9.63/1.99 thf(zip_derived_cl6151, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5789, zip_derived_cl4789])).
% 9.63/1.99 thf(zip_derived_cl6152, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6151])).
% 9.63/1.99 thf(zip_derived_cl6824, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6811, zip_derived_cl6152])).
% 9.63/1.99 thf(zip_derived_cl3120, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3115, zip_derived_cl829])).
% 9.63/1.99 thf(zip_derived_cl6829, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv1 @ (skf2 @ X0)) | ~ (ssPv1 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6824, zip_derived_cl3120])).
% 9.63/1.99 thf(zip_derived_cl6894, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6849, zip_derived_cl6829])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl20, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X2)
% 9.63/1.99 | ~ (ssRr @ X1 @ X2))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_21])).
% 9.63/1.99 thf(zip_derived_cl64, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 9.63/1.99 thf(zip_derived_cl86, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ (skf3 @ X0)))
% 9.63/1.99 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl64])).
% 9.63/1.99 thf(zip_derived_cl6895, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf2 @ (skf3 @ X0))))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6894, zip_derived_cl86])).
% 9.63/1.99 thf(zip_derived_cl5707, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5706, zip_derived_cl5674])).
% 9.63/1.99 thf(zip_derived_cl7038, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ (skf3 @ X0)))
% 9.63/1.99 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6895, zip_derived_cl5707])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl4771, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv2 @ (skf3 @ X0)) | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4770, zip_derived_cl3120])).
% 9.63/1.99 thf(zip_derived_cl3814, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3144])).
% 9.63/1.99 thf(zip_derived_cl4782, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl4771, zip_derived_cl3814])).
% 9.63/1.99 thf(zip_derived_cl4791, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl4782])).
% 9.63/1.99 thf(zip_derived_cl4886, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4791])).
% 9.63/1.99 thf(zip_derived_cl3120, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3115, zip_derived_cl829])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl3018, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0) | (ssPv2 @ (skf2 @ X0)) | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl3013, zip_derived_cl851])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(clause25, conjecture,
% 9.63/1.99 (~( ( ssPv1 @ V ) | ( ~( ssPv3 @ V ) ) | ( ~( ssPv3 @ W ) ) |
% 9.63/1.99 ( ~( ssRr @ V @ W ) ) | ( ~( ssPv4 @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.99 thf(zf_stmt_32, negated_conjecture,
% 9.63/1.99 (( ssPv1 @ V ) | ( ~( ssPv3 @ V ) ) | ( ~( ssPv3 @ W ) ) |
% 9.63/1.99 ( ~( ssRr @ V @ W ) ) | ( ~( ssPv4 @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.99 inference('cnf.neg', [status(esa)], [clause25])).
% 9.63/1.99 thf(zip_derived_cl24, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X2)
% 9.63/1.99 | ~ (ssRr @ X2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_32])).
% 9.63/1.99 thf(zip_derived_cl207, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl24])).
% 9.63/1.99 thf(zip_derived_cl3023, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3018, zip_derived_cl207])).
% 9.63/1.99 thf(zip_derived_cl3034, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3023])).
% 9.63/1.99 thf(zip_derived_cl3036, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3034])).
% 9.63/1.99 thf(zip_derived_cl3145, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ (skf2 @ X0))))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl3120, zip_derived_cl3036])).
% 9.63/1.99 thf(zip_derived_cl4896, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4886, zip_derived_cl3145])).
% 9.63/1.99 thf(zip_derived_cl5904, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv2 @ (skf2 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5878, zip_derived_cl5761])).
% 9.63/1.99 thf(zip_derived_cl5913, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ X0)) | ~ (ssPv4 @ X0) | ~ (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl4896, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl5904, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv2 @ (skf2 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5878, zip_derived_cl5761])).
% 9.63/1.99 thf(zip_derived_cl5936, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ (skf2 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5913, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl7039, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7038, zip_derived_cl5936])).
% 9.63/1.99 thf(zip_derived_cl7289, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv2 @ X0) | (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7175, zip_derived_cl7039])).
% 9.63/1.99 thf(zip_derived_cl5785, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv3 @ X0) | (ssPv2 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5765, zip_derived_cl2246])).
% 9.63/1.99 thf(zip_derived_cl3506, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3504])).
% 9.63/1.99 thf(zip_derived_cl5794, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5785, zip_derived_cl3506])).
% 9.63/1.99 thf(zip_derived_cl5804, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5794])).
% 9.63/1.99 thf(zip_derived_cl5762, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ (skf3 @ X0)) | ~ (ssPv2 @ X0) | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5760])).
% 9.63/1.99 thf(zip_derived_cl6227, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5804, zip_derived_cl5762])).
% 9.63/1.99 thf(zip_derived_cl2246, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl2245, zip_derived_cl628])).
% 9.63/1.99 thf(zip_derived_cl6228, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv3 @ (skf3 @ X0)) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6227, zip_derived_cl2246])).
% 9.63/1.99 thf(zip_derived_cl7296, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv2 @ X0) | (ssPv4 @ X0) | ~ (ssPv3 @ X0) | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl7289, zip_derived_cl6228])).
% 9.63/1.99 thf(zip_derived_cl7304, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl7296])).
% 9.63/1.99 thf(zip_derived_cl5811, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0) | (ssPv4 @ (skf2 @ X0)) | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5753])).
% 9.63/1.99 thf(zip_derived_cl5936, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ (skf2 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5913, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl5939, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv3 @ (skf2 @ X0)) | ~ (ssPv4 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5811, zip_derived_cl5936])).
% 9.63/1.99 thf(zip_derived_cl5946, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5939])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl4715, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4703, zip_derived_cl388])).
% 9.63/1.99 thf(zip_derived_cl3814, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3144])).
% 9.63/1.99 thf(zip_derived_cl4726, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl4715, zip_derived_cl3814])).
% 9.63/1.99 thf(zip_derived_cl4738, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl4726])).
% 9.63/1.99 thf(zip_derived_cl3034, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv1 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl3023])).
% 9.63/1.99 thf(zip_derived_cl5031, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl4738, zip_derived_cl3034])).
% 9.63/1.99 thf(zip_derived_cl5032, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5031])).
% 9.63/1.99 thf(zip_derived_cl5960, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5946, zip_derived_cl5032])).
% 9.63/1.99 thf(zip_derived_cl5971, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5960])).
% 9.63/1.99 thf(zip_derived_cl5936, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ (skf2 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5913, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl6126, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv2 @ (skf2 @ (skf2 @ X0))))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5971, zip_derived_cl5936])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl1243, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 (~ (ssRr @ X2 @ X1)
% 9.63/1.99 | ~ (ssPv3 @ X2)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ X1))),
% 9.63/1.99 inference('eq_fact', [status(thm)], [zip_derived_cl30])).
% 9.63/1.99 thf(zip_derived_cl1420, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ (skf2 @ X0) @ X1)
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1243])).
% 9.63/1.99 thf(zip_derived_cl1434, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv4 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1420])).
% 9.63/1.99 thf(zip_derived_cl6141, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6126, zip_derived_cl1434])).
% 9.63/1.99 thf(zip_derived_cl5936, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ (skf2 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5913, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl6659, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0) | (ssPv4 @ (skf2 @ (skf2 @ X0))) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6141, zip_derived_cl5936])).
% 9.63/1.99 thf(zip_derived_cl6746, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ (skf2 @ X0)) | (ssPv2 @ X0) | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6032, zip_derived_cl6523])).
% 9.63/1.99 thf(zip_derived_cl6753, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | (ssPv3 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6659, zip_derived_cl6746])).
% 9.63/1.99 thf(zip_derived_cl6126, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv2 @ (skf2 @ (skf2 @ X0))))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5971, zip_derived_cl5936])).
% 9.63/1.99 thf(zip_derived_cl160, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl159])).
% 9.63/1.99 thf(zip_derived_cl6128, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6126, zip_derived_cl160])).
% 9.63/1.99 thf(zip_derived_cl5946, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5939])).
% 9.63/1.99 thf(zip_derived_cl6142, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ (skf2 @ X0)))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6128, zip_derived_cl5946])).
% 9.63/1.99 thf(zip_derived_cl5936, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ (skf2 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5913, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl6143, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | ~ (ssPv3 @ (skf2 @ (skf2 @ X0))))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6142, zip_derived_cl5936])).
% 9.63/1.99 thf(zip_derived_cl6759, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ (skf2 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6753, zip_derived_cl6143])).
% 9.63/1.99 thf(zip_derived_cl5904, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv2 @ (skf2 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5878, zip_derived_cl5761])).
% 9.63/1.99 thf(zip_derived_cl6760, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6759, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl7305, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7304, zip_derived_cl6760])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(clause27, conjecture,
% 9.63/1.99 (~( ( ssPv3 @ V ) | ( ssPv2 @ X ) | ( ssPv4 @ W ) | ( ssPv1 @ U ) |
% 9.63/1.99 ( ~( ssRr @ V @ X ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.99 thf(zf_stmt_33, negated_conjecture,
% 9.63/1.99 (( ssPv3 @ V ) | ( ssPv2 @ X ) | ( ssPv4 @ W ) | ( ssPv1 @ U ) |
% 9.63/1.99 ( ~( ssRr @ V @ X ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) )),
% 9.63/1.99 inference('cnf.neg', [status(esa)], [clause27])).
% 9.63/1.99 thf(zip_derived_cl26, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.63/1.99 ( (ssPv3 @ X0)
% 9.63/1.99 | (ssPv2 @ X1)
% 9.63/1.99 | (ssPv4 @ X2)
% 9.63/1.99 | (ssPv1 @ X3)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X2)
% 9.63/1.99 | ~ (ssRr @ X3 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_33])).
% 9.63/1.99 thf(zip_derived_cl882, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 (~ (ssRr @ X2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | (ssPv1 @ X2)
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv3 @ X1))),
% 9.63/1.99 inference('eq_fact', [status(thm)], [zip_derived_cl26])).
% 9.63/1.99 thf(zip_derived_cl5916, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5906])).
% 9.63/1.99 thf(zip_derived_cl7736, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 ( (ssPv3 @ X1)
% 9.63/1.99 | (ssPv2 @ X0)
% 9.63/1.99 | (ssPv1 @ X2)
% 9.63/1.99 | ~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssRr @ X2 @ X1))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl882, zip_derived_cl5916])).
% 9.63/1.99 thf(zip_derived_cl7737, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | (ssPv1 @ X1)
% 9.63/1.99 | (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7736])).
% 9.63/1.99 thf(zip_derived_cl7912, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ X0) | (ssPv2 @ (skf2 @ X0)) | (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7737])).
% 9.63/1.99 thf(zip_derived_cl5904, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv2 @ (skf2 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5878, zip_derived_cl5761])).
% 9.63/1.99 thf(zip_derived_cl7918, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ (skf3 @ X0)) | (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl7912, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl5736, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ (skf3 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5710, zip_derived_cl4522])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl15, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 ( (ssPv3 @ X0)
% 9.63/1.99 | (ssPv1 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X2)
% 9.63/1.99 | ~ (ssRr @ X0 @ X2))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_9])).
% 9.63/1.99 thf(zip_derived_cl471, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl15])).
% 9.63/1.99 thf(zip_derived_cl493, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv1 @ (skf2 @ (skf3 @ X0)))
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl471])).
% 9.63/1.99 thf(zip_derived_cl5739, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ (skf3 @ X0)))
% 9.63/1.99 | (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5736, zip_derived_cl493])).
% 9.63/1.99 thf(zip_derived_cl5752, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv1 @ (skf2 @ (skf3 @ X0)))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5739])).
% 9.63/1.99 thf(zip_derived_cl6894, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6849, zip_derived_cl6829])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl5853, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5845])).
% 9.63/1.99 thf(zip_derived_cl7174, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5853])).
% 9.63/1.99 thf(zip_derived_cl5904, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv2 @ (skf2 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5878, zip_derived_cl5761])).
% 9.63/1.99 thf(zip_derived_cl7176, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ X0)) | ~ (ssPv2 @ (skf2 @ X0)) | (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7174, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl7177, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ (skf2 @ X0)) | (ssPv3 @ X0) | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6894, zip_derived_cl7176])).
% 9.63/1.99 thf(zip_derived_cl7187, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf2 @ (skf3 @ X0)))
% 9.63/1.99 | (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5752, zip_derived_cl7177])).
% 9.63/1.99 thf(zip_derived_cl7192, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ (skf3 @ X0)))
% 9.63/1.99 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl7187])).
% 9.63/1.99 thf(zip_derived_cl5916, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5906])).
% 9.63/1.99 thf(zip_derived_cl7242, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv2 @ (skf2 @ (skf3 @ X0))))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl7192, zip_derived_cl5916])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl7289, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv2 @ X0) | (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7175, zip_derived_cl7039])).
% 9.63/1.99 thf(zip_derived_cl1421, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1243])).
% 9.63/1.99 thf(zip_derived_cl7294, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv2 @ X0)
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | (ssPv4 @ X1)
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl7289, zip_derived_cl1421])).
% 9.63/1.99 thf(zip_derived_cl7303, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv4 @ X1)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl7294])).
% 9.63/1.99 thf(zip_derived_cl66, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('eq_fact', [status(thm)], [zip_derived_cl20])).
% 9.63/1.99 thf(zip_derived_cl7557, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssPv2 @ X0) | ~ (ssRr @ X0 @ X1) | ~ (ssPv2 @ X1) | (ssPv4 @ X1))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7303, zip_derived_cl66])).
% 9.63/1.99 thf(zip_derived_cl7558, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ X0)) | ~ (ssPv2 @ (skf2 @ X0)) | ~ (ssPv2 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7557])).
% 9.63/1.99 thf(zip_derived_cl7565, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf2 @ (skf3 @ X0))))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl7242, zip_derived_cl7558])).
% 9.63/1.99 thf(zip_derived_cl7305, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7304, zip_derived_cl6760])).
% 9.63/1.99 thf(zip_derived_cl7590, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ (skf3 @ X0)))
% 9.63/1.99 | ~ (ssPv2 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7565, zip_derived_cl7305])).
% 9.63/1.99 thf(zip_derived_cl5736, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv2 @ (skf3 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5710, zip_derived_cl4522])).
% 9.63/1.99 thf(zip_derived_cl7591, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv4 @ (skf2 @ (skf3 @ X0))))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7590, zip_derived_cl5736])).
% 9.63/1.99 thf(zip_derived_cl5707, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5706, zip_derived_cl5674])).
% 9.63/1.99 thf(zip_derived_cl7592, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv1 @ (skf2 @ (skf3 @ X0))))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl7591, zip_derived_cl5707])).
% 9.63/1.99 thf(zip_derived_cl6894, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6849, zip_derived_cl6829])).
% 9.63/1.99 thf(zip_derived_cl6152, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6151])).
% 9.63/1.99 thf(zip_derived_cl6915, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6894, zip_derived_cl6152])).
% 9.63/1.99 thf(zip_derived_cl6921, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv1 @ X0) | ~ (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl6915])).
% 9.63/1.99 thf(zip_derived_cl7618, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0) | ~ (ssPv1 @ (skf3 @ X0)) | ~ (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl7592, zip_derived_cl6921])).
% 9.63/1.99 thf(zip_derived_cl7192, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ (skf3 @ X0)))
% 9.63/1.99 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl7187])).
% 9.63/1.99 thf(zip_derived_cl6894, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6849, zip_derived_cl6829])).
% 9.63/1.99 thf(zip_derived_cl2195, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv2 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2184])).
% 9.63/1.99 thf(zip_derived_cl6908, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv1 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6894, zip_derived_cl2195])).
% 9.63/1.99 thf(zip_derived_cl5707, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv1 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5706, zip_derived_cl5674])).
% 9.63/1.99 thf(zip_derived_cl6979, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ (skf2 @ X0)) | ~ (ssPv1 @ X0) | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6908, zip_derived_cl5707])).
% 9.63/1.99 thf(zip_derived_cl7248, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf3 @ (skf3 @ X0)))
% 9.63/1.99 | ~ (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl7192, zip_derived_cl6979])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl69, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv3 @ X1)
% 9.63/1.99 | (ssPv4 @ X1))),
% 9.63/1.99 inference('eq_fact', [status(thm)], [zip_derived_cl7])).
% 9.63/1.99 thf(zip_derived_cl70, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl69])).
% 9.63/1.99 thf(zip_derived_cl2300, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl2292])).
% 9.63/1.99 thf(zip_derived_cl766, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv3 @ (skf3 @ (skf2 @ X0))))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl374])).
% 9.63/1.99 thf(zip_derived_cl2317, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl2300, zip_derived_cl766])).
% 9.63/1.99 thf(zip_derived_cl2323, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssPv4 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl2317])).
% 9.63/1.99 thf(zip_derived_cl2389, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv3 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl2323])).
% 9.63/1.99 thf(zip_derived_cl2399, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl2389])).
% 9.63/1.99 thf(zip_derived_cl6760, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6759, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl7, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 ( (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv3 @ X1)
% 9.63/1.99 | (ssPv4 @ X2)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X2))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.63/1.99 thf(zip_derived_cl68, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 (~ (ssRr @ (skf3 @ X0) @ X1)
% 9.63/1.99 | (ssPv4 @ X1)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7])).
% 9.63/1.99 thf(zip_derived_cl2349, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ (skf3 @ X0))))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl68])).
% 9.63/1.99 thf(zip_derived_cl6762, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv3 @ (skf2 @ (skf3 @ X0)))
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup+', [status(thm)], [zip_derived_cl6760, zip_derived_cl2349])).
% 9.63/1.99 thf(zip_derived_cl7114, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv1 @ (skf2 @ (skf3 @ X0)))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl2399, zip_derived_cl6762])).
% 9.63/1.99 thf(zip_derived_cl7118, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ (skf3 @ X0)))
% 9.63/1.99 | (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv3 @ (skf3 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl7114])).
% 9.63/1.99 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.63/1.99 thf(zip_derived_cl5816, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf2 @ X0)) | ~ (ssPv4 @ X0) | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5811, zip_derived_cl5707])).
% 9.63/1.99 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.63/1.99 thf(clause30, conjecture,
% 9.63/1.99 (~( ( ssPv1 @ X ) | ( ssPv3 @ W ) | ( ~( ssPv4 @ U ) ) |
% 9.63/1.99 ( ~( ssRr @ U @ X ) ) | ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) |
% 9.63/1.99 ( ~( ssRr @ U @ V ) ) ))).
% 9.63/1.99 thf(zf_stmt_34, negated_conjecture,
% 9.63/1.99 (( ssPv1 @ X ) | ( ssPv3 @ W ) | ( ~( ssPv4 @ U ) ) |
% 9.63/1.99 ( ~( ssRr @ U @ X ) ) | ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) |
% 9.63/1.99 ( ~( ssRr @ U @ V ) )),
% 9.63/1.99 inference('cnf.neg', [status(esa)], [clause30])).
% 9.63/1.99 thf(zip_derived_cl29, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.63/1.99 ( (ssPv1 @ X0)
% 9.63/1.99 | (ssPv3 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X2)
% 9.63/1.99 | ~ (ssRr @ X2 @ X0)
% 9.63/1.99 | ~ (ssRr @ X2 @ X1)
% 9.63/1.99 | ~ (ssPv3 @ X3)
% 9.63/1.99 | ~ (ssRr @ X2 @ X3))),
% 9.63/1.99 inference('cnf', [status(esa)], [zf_stmt_34])).
% 9.63/1.99 thf(zip_derived_cl1154, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.63/1.99 (~ (ssRr @ X1 @ X0)
% 9.63/1.99 | ~ (ssPv3 @ X0)
% 9.63/1.99 | ~ (ssRr @ X1 @ X2)
% 9.63/1.99 | ~ (ssPv4 @ X1)
% 9.63/1.99 | (ssPv3 @ X2)
% 9.63/1.99 | (ssPv1 @ X0))),
% 9.63/1.99 inference('eq_fact', [status(thm)], [zip_derived_cl29])).
% 9.63/1.99 thf(zip_derived_cl1325, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | (ssPv3 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1154])).
% 9.63/1.99 thf(zip_derived_cl5865, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ X0))
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv3 @ X1)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl5816, zip_derived_cl1325])).
% 9.63/1.99 thf(zip_derived_cl5881, plain,
% 9.63/1.99 (![X0 : $i, X1 : $i]:
% 9.63/1.99 ( (ssPv3 @ X1)
% 9.63/1.99 | ~ (ssRr @ X0 @ X1)
% 9.63/1.99 | ~ (ssPv4 @ X0)
% 9.63/1.99 | (ssPv1 @ (skf2 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5865])).
% 9.63/1.99 thf(zip_derived_cl6487, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf2 @ (skf3 @ X0)))
% 9.63/1.99 | ~ (ssPv4 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv3 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5881])).
% 9.63/1.99 thf(zip_derived_cl7124, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv1 @ (skf2 @ (skf3 @ X0)))
% 9.63/1.99 | (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7118, zip_derived_cl6487])).
% 9.63/1.99 thf(zip_derived_cl6894, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6849, zip_derived_cl6829])).
% 9.63/1.99 thf(zip_derived_cl5904, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv2 @ (skf2 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl5878, zip_derived_cl5761])).
% 9.63/1.99 thf(zip_derived_cl6914, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv1 @ (skf2 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6894, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl7134, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ X0) | (ssPv3 @ (skf3 @ X0)) | ~ (ssPv4 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl7124, zip_derived_cl6914])).
% 9.63/1.99 thf(zip_derived_cl6760, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6759, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl7146, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ (skf3 @ X0)) | (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7134, zip_derived_cl6760])).
% 9.63/1.99 thf(zip_derived_cl7586, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 (~ (ssPv1 @ (skf3 @ X0)) | (ssPv3 @ (skf3 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7248, zip_derived_cl7146])).
% 9.63/1.99 thf(zip_derived_cl7626, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv1 @ (skf3 @ X0)) | ~ (ssPv4 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7618, zip_derived_cl7586])).
% 9.63/1.99 thf(zip_derived_cl7967, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7918, zip_derived_cl7626])).
% 9.63/1.99 thf(zip_derived_cl6760, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv4 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6759, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl7968, plain, (![X0 : $i]: ~ (ssPv4 @ X0)),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7967, zip_derived_cl6760])).
% 9.63/1.99 thf(zip_derived_cl7912, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv3 @ X0) | (ssPv2 @ (skf2 @ X0)) | (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7737])).
% 9.63/1.99 thf(zip_derived_cl7176, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ X0)) | ~ (ssPv2 @ (skf2 @ X0)) | (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7174, zip_derived_cl5904])).
% 9.63/1.99 thf(zip_derived_cl7919, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv1 @ (skf3 @ X0))
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv3 @ X0)
% 9.63/1.99 | (ssPv4 @ (skf2 @ X0)))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl7912, zip_derived_cl7176])).
% 9.63/1.99 thf(zip_derived_cl7929, plain,
% 9.63/1.99 (![X0 : $i]:
% 9.63/1.99 ( (ssPv4 @ (skf2 @ X0)) | (ssPv3 @ X0) | (ssPv1 @ (skf3 @ X0)))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl7919])).
% 9.63/1.99 thf(zip_derived_cl8020, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv1 @ (skf3 @ X0)) | (ssPv3 @ X0))),
% 9.63/1.99 inference('sup+', [status(thm)], [zip_derived_cl7968, zip_derived_cl7929])).
% 9.63/1.99 thf(zip_derived_cl6894, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6849, zip_derived_cl6829])).
% 9.63/1.99 thf(zip_derived_cl7305, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7304, zip_derived_cl6760])).
% 9.63/1.99 thf(zip_derived_cl5814, plain,
% 9.63/1.99 (![X0 : $i]: ( (ssPv3 @ (skf3 @ X0)) | (ssPv3 @ X0) | (ssPv4 @ X0))),
% 9.63/1.99 inference('simplify', [status(thm)], [zip_derived_cl5813])).
% 9.63/1.99 thf(zip_derived_cl7308, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv2 @ (skf3 @ X0)) | (ssPv4 @ X0) | (ssPv3 @ X0))),
% 9.63/1.99 inference('sup+', [status(thm)], [zip_derived_cl7305, zip_derived_cl5814])).
% 9.63/1.99 thf(zip_derived_cl7379, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv1 @ (skf3 @ X0)) | (ssPv3 @ X0) | (ssPv4 @ X0))),
% 9.63/1.99 inference('sup-', [status(thm)], [zip_derived_cl6894, zip_derived_cl7308])).
% 9.63/1.99 thf(zip_derived_cl7968, plain, (![X0 : $i]: ~ (ssPv4 @ X0)),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl7967, zip_derived_cl6760])).
% 9.63/1.99 thf(zip_derived_cl8015, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv1 @ (skf3 @ X0)) | (ssPv3 @ X0))),
% 9.63/1.99 inference('demod', [status(thm)],
% 9.63/1.99 [zip_derived_cl7379, zip_derived_cl7968])).
% 9.63/1.99 thf(zip_derived_cl8061, plain, (![X0 : $i]: (ssPv3 @ X0)),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl8020, zip_derived_cl8015])).
% 9.63/1.99 thf(zip_derived_cl8086, plain, (![X0 : $i]: ~ (ssPv2 @ X0)),
% 9.63/1.99 inference('demod', [status(thm)],
% 9.63/1.99 [zip_derived_cl7305, zip_derived_cl8061])).
% 9.63/1.99 thf(zip_derived_cl6894, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6849, zip_derived_cl6829])).
% 9.63/1.99 thf(zip_derived_cl8096, plain, (![X0 : $i]: ~ (ssPv1 @ X0)),
% 9.63/1.99 inference('sup+', [status(thm)], [zip_derived_cl8086, zip_derived_cl6894])).
% 9.63/1.99 thf(zip_derived_cl6434, plain,
% 9.63/1.99 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv1 @ X0) | ~ (ssPv3 @ (skf2 @ X0)))),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl6428, zip_derived_cl5707])).
% 9.63/1.99 thf(zip_derived_cl8061, plain, (![X0 : $i]: (ssPv3 @ X0)),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl8020, zip_derived_cl8015])).
% 9.63/1.99 thf(zip_derived_cl8061, plain, (![X0 : $i]: (ssPv3 @ X0)),
% 9.63/1.99 inference('clc', [status(thm)], [zip_derived_cl8020, zip_derived_cl8015])).
% 9.63/1.99 thf(zip_derived_cl8079, plain, (![X0 : $i]: (ssPv1 @ X0)),
% 9.63/1.99 inference('demod', [status(thm)],
% 9.63/1.99 [zip_derived_cl6434, zip_derived_cl8061, zip_derived_cl8061])).
% 9.63/1.99 thf(zip_derived_cl8098, plain, ($false),
% 9.63/1.99 inference('demod', [status(thm)],
% 9.63/1.99 [zip_derived_cl8096, zip_derived_cl8079])).
% 9.63/1.99
% 9.63/1.99 % SZS output end Refutation
% 9.63/1.99
% 9.63/1.99
% 9.63/1.99 % Terminating...
% 10.07/2.09 % Runner terminated.
% 10.07/2.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------