TSTP Solution File: SYN796-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN796-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8SFztbT0YO true
% Computer : n007.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 04:05:32 EDT 2023
% Result : Unsatisfiable 7.98s 1.78s
% Output : Refutation 7.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN796-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8SFztbT0YO true
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 21:07:12 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 1.04/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.19/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.19/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.19/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.98/1.78 % Solved by fo/fo6_bce.sh.
% 7.98/1.78 % BCE start: 52
% 7.98/1.78 % BCE eliminated: 0
% 7.98/1.78 % PE start: 52
% 7.98/1.78 logic: neq
% 7.98/1.78 % PE eliminated: 0
% 7.98/1.78 % done 796 iterations in 1.011s
% 7.98/1.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.98/1.78 % SZS output start Refutation
% 7.98/1.78 thf(skf2_type, type, skf2: $i > $i).
% 7.98/1.78 thf(ssPv1_type, type, ssPv1: $i > $o).
% 7.98/1.78 thf(ssPv2_type, type, ssPv2: $i > $o).
% 7.98/1.78 thf(skf3_type, type, skf3: $i > $i).
% 7.98/1.78 thf(ssRr_type, type, ssRr: $i > $i > $o).
% 7.98/1.78 thf(ssPv4_type, type, ssPv4: $i > $o).
% 7.98/1.78 thf(ssPv3_type, type, ssPv3: $i > $o).
% 7.98/1.78 thf(clause2, conjecture, (~( ssRr @ U @ ( skf2 @ U ) ))).
% 7.98/1.78 thf(zf_stmt_0, negated_conjecture, (ssRr @ U @ ( skf2 @ U )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause2])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause1, conjecture, (~( ssRr @ ( skf3 @ U ) @ U ))).
% 7.98/1.78 thf(zf_stmt_1, negated_conjecture, (ssRr @ ( skf3 @ U ) @ U),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause1])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(clause50, conjecture,
% 7.98/1.78 (~( ( ssPv1 @ V ) | ( ~( ssPv3 @ X ) ) | ( ~( ssRr @ V @ X ) ) |
% 7.98/1.78 ( ~( ssPv3 @ W ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv4 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_2, negated_conjecture,
% 7.98/1.78 (( ssPv1 @ V ) | ( ~( ssPv3 @ X ) ) | ( ~( ssRr @ V @ X ) ) |
% 7.98/1.78 ( ~( ssPv3 @ W ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv4 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause50])).
% 7.98/1.78 thf(zip_derived_cl49, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X3)
% 7.98/1.78 | ~ (ssRr @ X3 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(clause6, conjecture,
% 7.98/1.78 (~( ( ssPv3 @ V ) | ( ssPv1 @ V ) | ( ssPv2 @ U ) | ( ~( ssPv4 @ V ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_3, negated_conjecture,
% 7.98/1.78 (( ssPv3 @ V ) | ( ssPv1 @ V ) | ( ssPv2 @ U ) | ( ~( ssPv4 @ V ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause6])).
% 7.98/1.78 thf(zip_derived_cl5, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.98/1.78 thf(zip_derived_cl66, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf3 @ X0))
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause48, conjecture,
% 7.98/1.78 (~( ( ssPv3 @ X ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ V @ X ) ) |
% 7.98/1.78 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv4 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_4, negated_conjecture,
% 7.98/1.78 (( ssPv3 @ X ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ V @ X ) ) |
% 7.98/1.78 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv4 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause48])).
% 7.98/1.78 thf(zip_derived_cl47, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X1)
% 7.98/1.78 | ~ (ssPv4 @ X3)
% 7.98/1.78 | ~ (ssRr @ X3 @ X1))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.98/1.78 thf(zip_derived_cl583, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl47])).
% 7.98/1.78 thf(zip_derived_cl3244, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl583])).
% 7.98/1.78 thf(zip_derived_cl3247, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv3 @ (skf2 @ (skf2 @ X0))))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3244])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause17, conjecture,
% 7.98/1.78 (~( ( ssPv3 @ V ) | ( ssPv1 @ V ) | ( ssPv2 @ W ) |
% 7.98/1.78 ( ~( ssRr @ V @ W ) ) | ( ~( ssPv2 @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_5, negated_conjecture,
% 7.98/1.78 (( ssPv3 @ V ) | ( ssPv1 @ V ) | ( ssPv2 @ W ) | ( ~( ssRr @ V @ W ) ) |
% 7.98/1.78 ( ~( ssPv2 @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause17])).
% 7.98/1.78 thf(zip_derived_cl16, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 7.98/1.78 thf(zip_derived_cl145, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl16])).
% 7.98/1.78 thf(zip_derived_cl66, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf3 @ X0))
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(clause45, conjecture,
% 7.98/1.78 (~( ( ssPv1 @ X ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ V @ X ) ) |
% 7.98/1.78 ( ~( ssPv3 @ W ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssPv2 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_6, negated_conjecture,
% 7.98/1.78 (( ssPv1 @ X ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ V @ X ) ) |
% 7.98/1.78 ( ~( ssPv3 @ W ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssPv2 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause45])).
% 7.98/1.78 thf(zip_derived_cl44, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X2)
% 7.98/1.78 | ~ (ssPv2 @ X3)
% 7.98/1.78 | ~ (ssRr @ X3 @ X1))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_6])).
% 7.98/1.78 thf(zip_derived_cl532, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 (~ (ssRr @ X2 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl44])).
% 7.98/1.78 thf(zip_derived_cl662, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv2 @ (skf3 @ X0))
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X1))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl532])).
% 7.98/1.78 thf(zip_derived_cl674, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X1))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl662])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(clause5, conjecture,
% 7.98/1.78 (~( ( ssPv4 @ V ) | ( ssPv1 @ V ) | ( ssPv2 @ U ) | ( ~( ssPv2 @ V ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_7, negated_conjecture,
% 7.98/1.78 (( ssPv4 @ V ) | ( ssPv1 @ V ) | ( ssPv2 @ U ) | ( ~( ssPv2 @ V ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause5])).
% 7.98/1.78 thf(zip_derived_cl4, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 7.98/1.78 thf(zip_derived_cl59, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf3 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 7.98/1.78 thf(zip_derived_cl662, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv2 @ (skf3 @ X0))
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X1))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl532])).
% 7.98/1.78 thf(zip_derived_cl673, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X1))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl662])).
% 7.98/1.78 thf(zip_derived_cl677, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl673])).
% 7.98/1.78 thf(clause33, conjecture,
% 7.98/1.78 (~( ( ssPv1 @ W ) | ( ~( ssPv2 @ U ) ) | ( ~( ssPv1 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_8, negated_conjecture,
% 7.98/1.78 (( ssPv1 @ W ) | ( ~( ssPv2 @ U ) ) | ( ~( ssPv1 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause33])).
% 7.98/1.78 thf(zip_derived_cl32, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X2))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_8])).
% 7.98/1.78 thf(zip_derived_cl352, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl32])).
% 7.98/1.78 thf(zip_derived_cl884, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | (ssPv1 @ X1))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl677, zip_derived_cl352])).
% 7.98/1.78 thf(zip_derived_cl928, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl674, zip_derived_cl884])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(clause27, conjecture,
% 7.98/1.78 (~( ( ssPv1 @ V ) | ( ssPv1 @ U ) | ( ~( ssPv2 @ V ) ) |
% 7.98/1.78 ( ~( ssPv4 @ W ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_9, negated_conjecture,
% 7.98/1.78 (( ssPv1 @ V ) | ( ssPv1 @ U ) | ( ~( ssPv2 @ V ) ) | ( ~( ssPv4 @ W ) ) |
% 7.98/1.78 ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause27])).
% 7.98/1.78 thf(zip_derived_cl26, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X2)
% 7.98/1.78 | ~ (ssRr @ X0 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_9])).
% 7.98/1.78 thf(clause14, conjecture,
% 7.98/1.78 (~( ( ssPv1 @ V ) | ( ssPv4 @ W ) | ( ssPv1 @ U ) | ( ~( ssPv2 @ V ) ) |
% 7.98/1.78 ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_10, negated_conjecture,
% 7.98/1.78 (( ssPv1 @ V ) | ( ssPv4 @ W ) | ( ssPv1 @ U ) | ( ~( ssPv2 @ V ) ) |
% 7.98/1.78 ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause14])).
% 7.98/1.78 thf(zip_derived_cl13, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X1)
% 7.98/1.78 | (ssPv1 @ X2)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_10])).
% 7.98/1.78 thf(zip_derived_cl262, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssRr @ X0 @ X2)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X1)
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl26, zip_derived_cl13])).
% 7.98/1.78 thf(zip_derived_cl264, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf3 @ X0))
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl262])).
% 7.98/1.78 thf(zip_derived_cl270, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv2 @ X0) | (ssPv1 @ (skf3 @ X0)) | (ssPv1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl264])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(clause22, conjecture,
% 7.98/1.78 (~( ( ssPv3 @ U ) | ( ssPv1 @ W ) | ( ~( ssPv1 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_11, negated_conjecture,
% 7.98/1.78 (( ssPv3 @ U ) | ( ssPv1 @ W ) | ( ~( ssPv1 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause22])).
% 7.98/1.78 thf(zip_derived_cl21, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X2)
% 7.98/1.78 | ~ (ssRr @ X0 @ X2))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_11])).
% 7.98/1.78 thf(zip_derived_cl204, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ X1))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl21])).
% 7.98/1.78 thf(zip_derived_cl208, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf3 @ X0))
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ (skf3 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl204])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(clause32, conjecture,
% 7.98/1.78 (~( ( ssPv1 @ W ) | ( ~( ssPv3 @ U ) ) | ( ~( ssPv1 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_12, negated_conjecture,
% 7.98/1.78 (( ssPv1 @ W ) | ( ~( ssPv3 @ U ) ) | ( ~( ssPv1 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause32])).
% 7.98/1.78 thf(zip_derived_cl31, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X2))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_12])).
% 7.98/1.78 thf(zip_derived_cl333, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ (skf3 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ (skf3 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssRr @ (skf3 @ X0) @ X1))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl31])).
% 7.98/1.78 thf(zip_derived_cl342, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf3 @ X0))
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf3 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssRr @ (skf3 @ X0) @ X1))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl208, zip_derived_cl333])).
% 7.98/1.78 thf(zip_derived_cl345, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ (skf3 @ X0) @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf3 @ X0))
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl342])).
% 7.98/1.78 thf(zip_derived_cl346, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssRr @ (skf3 @ X0) @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl270, zip_derived_cl345])).
% 7.98/1.78 thf(zip_derived_cl347, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssRr @ (skf3 @ X0) @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl346])).
% 7.98/1.78 thf(zip_derived_cl356, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv3 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv2 @ X0) | (ssPv1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl347])).
% 7.98/1.78 thf(zip_derived_cl357, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl356])).
% 7.98/1.78 thf(zip_derived_cl929, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X1))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl928, zip_derived_cl357])).
% 7.98/1.78 thf(zip_derived_cl352, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl32])).
% 7.98/1.78 thf(zip_derived_cl930, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv1 @ X1) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X1) | ~ (ssRr @ X0 @ X1))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl929, zip_derived_cl352])).
% 7.98/1.78 thf(zip_derived_cl1004, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl145, zip_derived_cl930])).
% 7.98/1.78 thf(zip_derived_cl1005, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1004])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause3, conjecture,
% 7.98/1.78 (~( ( ssPv4 @ U ) | ( ssPv3 @ U ) | ( ssPv1 @ U ) | ( ssPv3 @ V ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_13, negated_conjecture,
% 7.98/1.78 (( ssPv4 @ U ) | ( ssPv3 @ U ) | ( ssPv1 @ U ) | ( ssPv3 @ V ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause3])).
% 7.98/1.78 thf(zip_derived_cl2, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_13])).
% 7.98/1.78 thf(zip_derived_cl52, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl49, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X3)
% 7.98/1.78 | ~ (ssRr @ X3 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.98/1.78 thf(zip_derived_cl623, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl49])).
% 7.98/1.78 thf(zip_derived_cl1007, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl623])).
% 7.98/1.78 thf(zip_derived_cl1013, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 (~ (ssRr @ X2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl1007])).
% 7.98/1.78 thf(clause15, conjecture,
% 7.98/1.78 (~( ( ssPv4 @ V ) | ( ssPv1 @ V ) | ( ssPv4 @ W ) |
% 7.98/1.78 ( ~( ssRr @ W @ V ) ) | ( ~( ssPv3 @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_14, negated_conjecture,
% 7.98/1.78 (( ssPv4 @ V ) | ( ssPv1 @ V ) | ( ssPv4 @ W ) | ( ~( ssRr @ W @ V ) ) |
% 7.98/1.78 ( ~( ssPv3 @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause15])).
% 7.98/1.78 thf(zip_derived_cl14, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_14])).
% 7.98/1.78 thf(zip_derived_cl1134, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1013, zip_derived_cl14])).
% 7.98/1.78 thf(zip_derived_cl1135, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('condensation', [status(thm)], [zip_derived_cl1134])).
% 7.98/1.78 thf(zip_derived_cl1136, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1135])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl930, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv1 @ X1) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X1) | ~ (ssRr @ X0 @ X1))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl929, zip_derived_cl352])).
% 7.98/1.78 thf(zip_derived_cl931, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0)) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl930])).
% 7.98/1.78 thf(zip_derived_cl1326, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv3 @ X0)
% 7.98/1.78 | (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl1136, zip_derived_cl931])).
% 7.98/1.78 thf(zip_derived_cl1329, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl1326])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause30, conjecture,
% 7.98/1.78 (~( ( ssPv4 @ W ) | ( ~( ssPv3 @ U ) ) | ( ~( ssPv2 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_15, negated_conjecture,
% 7.98/1.78 (( ssPv4 @ W ) | ( ~( ssPv3 @ U ) ) | ( ~( ssPv2 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause30])).
% 7.98/1.78 thf(zip_derived_cl29, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X2))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_15])).
% 7.98/1.78 thf(zip_derived_cl184, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | (ssPv4 @ X0))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl29])).
% 7.98/1.78 thf(zip_derived_cl205, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | (ssPv4 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl184])).
% 7.98/1.78 thf(zip_derived_cl1334, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv4 @ (skf2 @ X0)) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1329, zip_derived_cl205])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause12, conjecture,
% 7.98/1.78 (~( ( ssPv3 @ V ) | ( ssPv2 @ V ) | ( ssPv2 @ W ) |
% 7.98/1.78 ( ~( ssRr @ V @ W ) ) | ( ~( ssPv2 @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_16, negated_conjecture,
% 7.98/1.78 (( ssPv3 @ V ) | ( ssPv2 @ V ) | ( ssPv2 @ W ) | ( ~( ssRr @ V @ W ) ) |
% 7.98/1.78 ( ~( ssPv2 @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause12])).
% 7.98/1.78 thf(zip_derived_cl11, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_16])).
% 7.98/1.78 thf(zip_derived_cl93, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 7.98/1.78 thf(zip_derived_cl814, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ (skf3 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl93])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause4, conjecture,
% 7.98/1.78 (~( ( ssPv3 @ U ) | ( ssPv2 @ U ) | ( ssPv1 @ V ) | ( ~( ssPv4 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_17, negated_conjecture,
% 7.98/1.78 (( ssPv3 @ U ) | ( ssPv2 @ U ) | ( ssPv1 @ V ) | ( ~( ssPv4 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause4])).
% 7.98/1.78 thf(zip_derived_cl3, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_17])).
% 7.98/1.78 thf(zip_derived_cl54, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause20, conjecture,
% 7.98/1.78 (~( ( ssPv2 @ W ) | ( ssPv3 @ U ) | ( ~( ssPv2 @ V ) ) |
% 7.98/1.78 ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_18, negated_conjecture,
% 7.98/1.78 (( ssPv2 @ W ) | ( ssPv3 @ U ) | ( ~( ssPv2 @ V ) ) | ( ~( ssPv1 @ V ) ) |
% 7.98/1.78 ( ~( ssRr @ W @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause20])).
% 7.98/1.78 thf(zip_derived_cl19, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv2 @ X0)
% 7.98/1.78 | (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssPv1 @ X2)
% 7.98/1.78 | ~ (ssRr @ X0 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X2))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_18])).
% 7.98/1.78 thf(zip_derived_cl179, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv3 @ X1)
% 7.98/1.78 | (ssPv2 @ X1))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl19])).
% 7.98/1.78 thf(zip_derived_cl180, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl179])).
% 7.98/1.78 thf(zip_derived_cl188, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv4 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl180])).
% 7.98/1.78 thf(zip_derived_cl189, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl188])).
% 7.98/1.78 thf(zip_derived_cl1113, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ (skf3 @ X0))
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl814, zip_derived_cl189])).
% 7.98/1.78 thf(zip_derived_cl1119, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ (skf3 @ X0)))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl1113])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(zip_derived_cl54, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause23, conjecture,
% 7.98/1.78 (~( ( ssPv2 @ V ) | ( ssPv2 @ U ) | ( ~( ssPv4 @ V ) ) |
% 7.98/1.78 ( ~( ssPv1 @ W ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_19, negated_conjecture,
% 7.98/1.78 (( ssPv2 @ V ) | ( ssPv2 @ U ) | ( ~( ssPv4 @ V ) ) | ( ~( ssPv1 @ W ) ) |
% 7.98/1.78 ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause23])).
% 7.98/1.78 thf(zip_derived_cl22, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv2 @ X0)
% 7.98/1.78 | (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X2)
% 7.98/1.78 | ~ (ssRr @ X0 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_19])).
% 7.98/1.78 thf(zip_derived_cl214, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv2 @ X0)
% 7.98/1.78 | (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl22])).
% 7.98/1.78 thf(zip_derived_cl236, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv4 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl214])).
% 7.98/1.78 thf(zip_derived_cl237, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | (ssPv2 @ X1)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl236])).
% 7.98/1.78 thf(zip_derived_cl239, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv2 @ (skf3 @ X0))
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl237])).
% 7.98/1.78 thf(zip_derived_cl1143, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1119, zip_derived_cl239])).
% 7.98/1.78 thf(zip_derived_cl931, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0)) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl930])).
% 7.98/1.78 thf(zip_derived_cl1157, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl1143, zip_derived_cl931])).
% 7.98/1.78 thf(zip_derived_cl1143, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1119, zip_derived_cl239])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause46, conjecture,
% 7.98/1.78 (~( ( ssPv2 @ V ) | ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ X @ V ) ) |
% 7.98/1.78 ( ~( ssPv3 @ W ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv4 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_20, negated_conjecture,
% 7.98/1.78 (( ssPv2 @ V ) | ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ X @ V ) ) |
% 7.98/1.78 ( ~( ssPv3 @ W ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv4 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause46])).
% 7.98/1.78 thf(zip_derived_cl45, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.98/1.78 ( (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X3)
% 7.98/1.78 | ~ (ssRr @ X3 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_20])).
% 7.98/1.78 thf(zip_derived_cl549, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 (~ (ssRr @ X2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | (ssPv2 @ X0))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl45])).
% 7.98/1.78 thf(zip_derived_cl686, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X1))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl549])).
% 7.98/1.78 thf(zip_derived_cl687, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl686])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl31, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X2))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_12])).
% 7.98/1.78 thf(zip_derived_cl334, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl31])).
% 7.98/1.78 thf(zip_derived_cl348, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl334])).
% 7.98/1.78 thf(zip_derived_cl715, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl687, zip_derived_cl348])).
% 7.98/1.78 thf(zip_derived_cl722, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl715])).
% 7.98/1.78 thf(zip_derived_cl687, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl686])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause34, conjecture,
% 7.98/1.78 (~( ( ~( ssPv4 @ U ) ) | ( ~( ssPv1 @ U ) ) | ( ~( ssPv1 @ W ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_21, negated_conjecture,
% 7.98/1.78 (( ~( ssPv4 @ U ) ) | ( ~( ssPv1 @ U ) ) | ( ~( ssPv1 @ W ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause34])).
% 7.98/1.78 thf(zip_derived_cl33, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 (~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X0 @ X2))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_21])).
% 7.98/1.78 thf(zip_derived_cl62, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv4 @ X1))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl33])).
% 7.98/1.78 thf(zip_derived_cl63, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl62])).
% 7.98/1.78 thf(zip_derived_cl711, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl687, zip_derived_cl63])).
% 7.98/1.78 thf(zip_derived_cl719, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl711])).
% 7.98/1.78 thf(zip_derived_cl744, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv4 @ X0) | ~ (ssPv3 @ X0) | ~ (ssPv1 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl722, zip_derived_cl719])).
% 7.98/1.78 thf(zip_derived_cl1145, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv4 @ X0) | (ssPv2 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl1143, zip_derived_cl744])).
% 7.98/1.78 thf(zip_derived_cl1158, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl1145])).
% 7.98/1.78 thf(zip_derived_cl1245, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0) | (ssPv2 @ (skf2 @ X0)) | ~ (ssPv4 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1157, zip_derived_cl1158])).
% 7.98/1.78 thf(zip_derived_cl1340, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl1334, zip_derived_cl1245])).
% 7.98/1.78 thf(zip_derived_cl1342, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv2 @ (skf2 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl1340])).
% 7.98/1.78 thf(zip_derived_cl348, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl334])).
% 7.98/1.78 thf(zip_derived_cl1347, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl1342, zip_derived_cl348])).
% 7.98/1.78 thf(zip_derived_cl1353, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl1347])).
% 7.98/1.78 thf(zip_derived_cl357, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl356])).
% 7.98/1.78 thf(zip_derived_cl1355, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv3 @ X0) | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1353, zip_derived_cl357])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause31, conjecture,
% 7.98/1.78 (~( ( ssPv3 @ U ) | ( ~( ssPv3 @ V ) ) | ( ~( ssPv1 @ V ) ) |
% 7.98/1.78 ( ~( ssPv1 @ W ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_22, negated_conjecture,
% 7.98/1.78 (( ssPv3 @ U ) | ( ~( ssPv3 @ V ) ) | ( ~( ssPv1 @ V ) ) |
% 7.98/1.78 ( ~( ssPv1 @ W ) ) | ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause31])).
% 7.98/1.78 thf(zip_derived_cl30, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv1 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X2)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_22])).
% 7.98/1.78 thf(zip_derived_cl325, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl30])).
% 7.98/1.78 thf(zip_derived_cl1363, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl1355, zip_derived_cl325])).
% 7.98/1.78 thf(zip_derived_cl1370, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl1363])).
% 7.98/1.78 thf(zip_derived_cl357, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl356])).
% 7.98/1.78 thf(zip_derived_cl1463, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv3 @ X0) | ~ (ssPv2 @ X0) | (ssPv3 @ X1) | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1370, zip_derived_cl357])).
% 7.98/1.78 thf(zip_derived_cl1464, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv3 @ (skf2 @ X0)) | ~ (ssPv2 @ (skf2 @ X0)) | (ssPv3 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1463])).
% 7.98/1.78 thf(zip_derived_cl1499, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl1005, zip_derived_cl1464])).
% 7.98/1.78 thf(zip_derived_cl931, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0)) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl930])).
% 7.98/1.78 thf(zip_derived_cl1708, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv3 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1499, zip_derived_cl931])).
% 7.98/1.78 thf(zip_derived_cl3340, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl3247, zip_derived_cl1708])).
% 7.98/1.78 thf(zip_derived_cl3342, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ (skf2 @ X0)))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl3340])).
% 7.98/1.78 thf(zip_derived_cl52, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 7.98/1.78 thf(zip_derived_cl1708, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv3 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1499, zip_derived_cl931])).
% 7.98/1.78 thf(zip_derived_cl1710, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl1708])).
% 7.98/1.78 thf(zip_derived_cl1716, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl1710])).
% 7.98/1.78 thf(zip_derived_cl931, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0)) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl930])).
% 7.98/1.78 thf(zip_derived_cl1743, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0)) | (ssPv4 @ (skf2 @ X0)) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1716, zip_derived_cl931])).
% 7.98/1.78 thf(zip_derived_cl3344, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv4 @ X0) | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3342, zip_derived_cl1743])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause44, conjecture,
% 7.98/1.78 (~( ( ssPv3 @ W ) | ( ~( ssPv2 @ V ) ) | ( ~( ssPv1 @ X ) ) |
% 7.98/1.78 ( ~( ssRr @ V @ X ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv2 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_23, negated_conjecture,
% 7.98/1.78 (( ssPv3 @ W ) | ( ~( ssPv2 @ V ) ) | ( ~( ssPv1 @ X ) ) |
% 7.98/1.78 ( ~( ssRr @ V @ X ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv2 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause44])).
% 7.98/1.78 thf(zip_derived_cl43, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv1 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X2)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X3)
% 7.98/1.78 | ~ (ssRr @ X3 @ X1))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_23])).
% 7.98/1.78 thf(zip_derived_cl519, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl43])).
% 7.98/1.78 thf(zip_derived_cl3355, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 (~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl3344, zip_derived_cl519])).
% 7.98/1.78 thf(zip_derived_cl3365, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 (~ (ssRr @ X2 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl3355])).
% 7.98/1.78 thf(zip_derived_cl3514, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X1))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl3365])).
% 7.98/1.78 thf(zip_derived_cl3344, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv4 @ X0) | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3342, zip_derived_cl1743])).
% 7.98/1.78 thf(zip_derived_cl1334, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv4 @ (skf2 @ X0)) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1329, zip_derived_cl205])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause21, conjecture,
% 7.98/1.78 (~( ( ssPv3 @ V ) | ( ssPv2 @ W ) | ( ~( ssPv4 @ V ) ) |
% 7.98/1.78 ( ~( ssRr @ V @ W ) ) | ( ~( ssPv3 @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_24, negated_conjecture,
% 7.98/1.78 (( ssPv3 @ V ) | ( ssPv2 @ W ) | ( ~( ssPv4 @ V ) ) |
% 7.98/1.78 ( ~( ssRr @ V @ W ) ) | ( ~( ssPv3 @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause21])).
% 7.98/1.78 thf(zip_derived_cl20, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_24])).
% 7.98/1.78 thf(zip_derived_cl185, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 7.98/1.78 thf(zip_derived_cl1264, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | ~ (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl185])).
% 7.98/1.78 thf(zip_derived_cl63, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl62])).
% 7.98/1.78 thf(zip_derived_cl2351, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv4 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1264, zip_derived_cl63])).
% 7.98/1.78 thf(zip_derived_cl2362, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl2351])).
% 7.98/1.78 thf(zip_derived_cl744, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv4 @ X0) | ~ (ssPv3 @ X0) | ~ (ssPv1 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl722, zip_derived_cl719])).
% 7.98/1.78 thf(zip_derived_cl2627, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl2362, zip_derived_cl744])).
% 7.98/1.78 thf(zip_derived_cl2631, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl1334, zip_derived_cl2627])).
% 7.98/1.78 thf(zip_derived_cl2639, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl2631])).
% 7.98/1.78 thf(zip_derived_cl1355, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv3 @ X0) | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1353, zip_derived_cl357])).
% 7.98/1.78 thf(zip_derived_cl2640, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0) | ~ (ssPv3 @ X0) | ~ (ssPv1 @ (skf2 @ (skf2 @ X0))))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl2639, zip_derived_cl1355])).
% 7.98/1.78 thf(zip_derived_cl3362, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl3344, zip_derived_cl2640])).
% 7.98/1.78 thf(zip_derived_cl1334, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv4 @ (skf2 @ X0)) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1329, zip_derived_cl205])).
% 7.98/1.78 thf(zip_derived_cl3366, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3362, zip_derived_cl1334])).
% 7.98/1.78 thf(zip_derived_cl1342, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv2 @ (skf2 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl1340])).
% 7.98/1.78 thf(zip_derived_cl3367, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3366, zip_derived_cl1342])).
% 7.98/1.78 thf(zip_derived_cl3523, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X1) | ~ (ssRr @ X1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3514, zip_derived_cl3367])).
% 7.98/1.78 thf(zip_derived_cl3525, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv2 @ (skf3 @ X0)) | ~ (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3523])).
% 7.98/1.78 thf(zip_derived_cl3533, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl3525])).
% 7.98/1.78 thf(zip_derived_cl3537, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0) | (ssPv3 @ X0) | (ssPv1 @ X0) | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl3533])).
% 7.98/1.78 thf(zip_derived_cl1143, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1119, zip_derived_cl239])).
% 7.98/1.78 thf(zip_derived_cl3740, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv1 @ X0) | (ssPv3 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3537, zip_derived_cl1143])).
% 7.98/1.78 thf(zip_derived_cl52, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause8, conjecture,
% 7.98/1.78 (~( ( ssPv2 @ V ) | ( ssPv1 @ V ) | ( ssPv2 @ W ) | ( ssPv4 @ U ) |
% 7.98/1.78 ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_25, negated_conjecture,
% 7.98/1.78 (( ssPv2 @ V ) | ( ssPv1 @ V ) | ( ssPv2 @ W ) | ( ssPv4 @ U ) |
% 7.98/1.78 ( ~( ssRr @ V @ W ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause8])).
% 7.98/1.78 thf(zip_derived_cl7, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X1)
% 7.98/1.78 | (ssPv4 @ X2)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_25])).
% 7.98/1.78 thf(zip_derived_cl69, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv4 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 7.98/1.78 thf(zip_derived_cl657, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv4 @ (skf3 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl69])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(clause10, conjecture,
% 7.98/1.78 (~( ( ssPv4 @ V ) | ( ssPv3 @ V ) | ( ssPv3 @ W ) |
% 7.98/1.78 ( ~( ssRr @ W @ V ) ) | ( ~( ssPv4 @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_26, negated_conjecture,
% 7.98/1.78 (( ssPv4 @ V ) | ( ssPv3 @ V ) | ( ssPv3 @ W ) | ( ~( ssRr @ W @ V ) ) |
% 7.98/1.78 ( ~( ssPv4 @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause10])).
% 7.98/1.78 thf(zip_derived_cl9, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_26])).
% 7.98/1.78 thf(zip_derived_cl81, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X1)
% 7.98/1.78 | (ssPv3 @ X1)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv4 @ X0))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl9])).
% 7.98/1.78 thf(zip_derived_cl85, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv4 @ (skf3 @ X0))
% 7.98/1.78 | (ssPv3 @ (skf3 @ X0))
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl81])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(zip_derived_cl1135, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('condensation', [status(thm)], [zip_derived_cl1134])).
% 7.98/1.78 thf(zip_derived_cl1137, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ (skf3 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1135])).
% 7.98/1.78 thf(zip_derived_cl1315, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ (skf3 @ X0))
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1137])).
% 7.98/1.78 thf(zip_derived_cl1320, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ (skf3 @ X0))
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv4 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl1315])).
% 7.98/1.78 thf(zip_derived_cl2258, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl657, zip_derived_cl1320])).
% 7.98/1.78 thf(zip_derived_cl2266, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl2258])).
% 7.98/1.78 thf(zip_derived_cl1143, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1119, zip_derived_cl239])).
% 7.98/1.78 thf(zip_derived_cl3048, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv3 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl2266, zip_derived_cl1143])).
% 7.98/1.78 thf(zip_derived_cl1464, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv3 @ (skf2 @ X0)) | ~ (ssPv2 @ (skf2 @ X0)) | (ssPv3 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1463])).
% 7.98/1.78 thf(zip_derived_cl3057, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv3 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl3048, zip_derived_cl1464])).
% 7.98/1.78 thf(zip_derived_cl3066, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv3 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl3057])).
% 7.98/1.78 thf(zip_derived_cl3093, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv3 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl3066])).
% 7.98/1.78 thf(zip_derived_cl3101, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv2 @ X0) | (ssPv4 @ X0) | (ssPv3 @ X0) | (ssPv1 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl3093])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(zip_derived_cl1743, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0)) | (ssPv4 @ (skf2 @ X0)) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1716, zip_derived_cl931])).
% 7.98/1.78 thf(zip_derived_cl1245, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0) | (ssPv2 @ (skf2 @ X0)) | ~ (ssPv4 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1157, zip_derived_cl1158])).
% 7.98/1.78 thf(zip_derived_cl1750, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl1743, zip_derived_cl1245])).
% 7.98/1.78 thf(zip_derived_cl1753, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv2 @ (skf2 @ X0)) | (ssPv1 @ (skf2 @ X0)) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl1750])).
% 7.98/1.78 thf(zip_derived_cl357, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl356])).
% 7.98/1.78 thf(zip_derived_cl52, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 7.98/1.78 thf(zip_derived_cl365, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('s_sup+', [status(thm)], [zip_derived_cl357, zip_derived_cl52])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl14, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_14])).
% 7.98/1.78 thf(zip_derived_cl122, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | (ssPv4 @ X1)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X0))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl14])).
% 7.98/1.78 thf(zip_derived_cl148, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv3 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv4 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl122])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause28, conjecture,
% 7.98/1.78 (~( ( ssPv2 @ U ) | ( ssPv1 @ U ) | ( ~( ssPv2 @ W ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_27, negated_conjecture,
% 7.98/1.78 (( ssPv2 @ U ) | ( ssPv1 @ U ) | ( ~( ssPv2 @ W ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause28])).
% 7.98/1.78 thf(zip_derived_cl27, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv4 @ X2)
% 7.98/1.78 | ~ (ssRr @ X0 @ X2))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_27])).
% 7.98/1.78 thf(zip_derived_cl280, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X1)
% 7.98/1.78 | (ssPv2 @ X1))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl27])).
% 7.98/1.78 thf(zip_derived_cl281, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl280])).
% 7.98/1.78 thf(zip_derived_cl299, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl281])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl5, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.98/1.78 thf(zip_derived_cl65, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 7.98/1.78 thf(zip_derived_cl357, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl356])).
% 7.98/1.78 thf(zip_derived_cl378, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl357])).
% 7.98/1.78 thf(zip_derived_cl383, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv4 @ (skf2 @ X0)))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl378])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl4, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 7.98/1.78 thf(zip_derived_cl58, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 7.98/1.78 thf(zip_derived_cl481, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv2 @ X0) | (ssPv1 @ (skf2 @ X0)) | ~ (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl383, zip_derived_cl58])).
% 7.98/1.78 thf(zip_derived_cl1797, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl299, zip_derived_cl481])).
% 7.98/1.78 thf(zip_derived_cl357, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl356])).
% 7.98/1.78 thf(zip_derived_cl1798, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1797, zip_derived_cl357])).
% 7.98/1.78 thf(zip_derived_cl348, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl334])).
% 7.98/1.78 thf(zip_derived_cl1799, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ (skf2 @ X0)) | ~ (ssPv3 @ X0) | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1798, zip_derived_cl348])).
% 7.98/1.78 thf(zip_derived_cl2037, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl365, zip_derived_cl1799])).
% 7.98/1.78 thf(zip_derived_cl2044, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl1753, zip_derived_cl2037])).
% 7.98/1.78 thf(zip_derived_cl2053, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl2044])).
% 7.98/1.78 thf(zip_derived_cl519, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl43])).
% 7.98/1.78 thf(zip_derived_cl2088, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl2053, zip_derived_cl519])).
% 7.98/1.78 thf(zip_derived_cl2098, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 (~ (ssRr @ X2 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | (ssPv3 @ X1)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl2088])).
% 7.98/1.78 thf(zip_derived_cl4, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 7.98/1.78 thf(zip_derived_cl2229, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl2098, zip_derived_cl4])).
% 7.98/1.78 thf(zip_derived_cl2230, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('condensation', [status(thm)], [zip_derived_cl2229])).
% 7.98/1.78 thf(zip_derived_cl2232, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ (skf3 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2230])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(zip_derived_cl334, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ X1)
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl31])).
% 7.98/1.78 thf(zip_derived_cl349, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf3 @ X0))
% 7.98/1.78 | ~ (ssPv3 @ (skf3 @ X0))
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl334])).
% 7.98/1.78 thf(zip_derived_cl270, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv2 @ X0) | (ssPv1 @ (skf3 @ X0)) | (ssPv1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl264])).
% 7.98/1.78 thf(zip_derived_cl390, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv3 @ (skf3 @ X0)) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl349, zip_derived_cl270])).
% 7.98/1.78 thf(zip_derived_cl2233, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv1 @ X0) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl2232, zip_derived_cl390])).
% 7.98/1.78 thf(zip_derived_cl3109, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv3 @ X0) | (ssPv4 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3101, zip_derived_cl2233])).
% 7.98/1.78 thf(zip_derived_cl3741, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv1 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3740, zip_derived_cl3109])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl69, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv2 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv4 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 7.98/1.78 thf(zip_derived_cl656, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl69])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl93, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 7.98/1.78 thf(zip_derived_cl813, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl93])).
% 7.98/1.78 thf(zip_derived_cl481, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv2 @ X0) | (ssPv1 @ (skf2 @ X0)) | ~ (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl383, zip_derived_cl58])).
% 7.98/1.78 thf(zip_derived_cl2004, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ (skf2 @ (skf2 @ X0))))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl813, zip_derived_cl481])).
% 7.98/1.78 thf(zip_derived_cl2011, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl2004])).
% 7.98/1.78 thf(zip_derived_cl180, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl179])).
% 7.98/1.78 thf(zip_derived_cl2664, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl2011, zip_derived_cl180])).
% 7.98/1.78 thf(zip_derived_cl2676, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl2664])).
% 7.98/1.78 thf(zip_derived_cl813, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ (skf2 @ (skf2 @ X0)))
% 7.98/1.78 | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl93])).
% 7.98/1.78 thf(zip_derived_cl2710, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0) | (ssPv2 @ (skf2 @ X0)) | (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl2676, zip_derived_cl813])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause11, conjecture,
% 7.98/1.78 (~( ( ssPv4 @ U ) | ( ssPv3 @ U ) | ( ssPv2 @ W ) |
% 7.98/1.78 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_28, negated_conjecture,
% 7.98/1.78 (( ssPv4 @ U ) | ( ssPv3 @ U ) | ( ssPv2 @ W ) | ( ~( ssRr @ U @ W ) ) |
% 7.98/1.78 ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause11])).
% 7.98/1.78 thf(zip_derived_cl10, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv1 @ X2)
% 7.98/1.78 | ~ (ssRr @ X0 @ X2))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_28])).
% 7.98/1.78 thf(zip_derived_cl90, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X0)
% 7.98/1.78 | (ssPv3 @ X1)
% 7.98/1.78 | (ssPv4 @ X1))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl10])).
% 7.98/1.78 thf(zip_derived_cl97, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | (ssPv4 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl90])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl1355, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv3 @ X0) | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1353, zip_derived_cl357])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause52, conjecture,
% 7.98/1.78 (~( ( ~( ssPv1 @ V ) ) | ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ V @ X ) ) |
% 7.98/1.78 ( ~( ssPv1 @ W ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv2 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_29, negated_conjecture,
% 7.98/1.78 (( ~( ssPv1 @ V ) ) | ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ V @ X ) ) |
% 7.98/1.78 ( ~( ssPv1 @ W ) ) | ( ~( ssRr @ W @ V ) ) | ( ~( ssPv2 @ U ) ) |
% 7.98/1.78 ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause52])).
% 7.98/1.78 thf(zip_derived_cl51, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.98/1.78 (~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssRr @ X0 @ X1)
% 7.98/1.78 | ~ (ssPv1 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X3)
% 7.98/1.78 | ~ (ssRr @ X3 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_29])).
% 7.98/1.78 thf(zip_derived_cl99, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 (~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl51])).
% 7.98/1.78 thf(zip_derived_cl1358, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 (~ (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1355, zip_derived_cl99])).
% 7.98/1.78 thf(zip_derived_cl357, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl356])).
% 7.98/1.78 thf(zip_derived_cl1428, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 (~ (ssRr @ X2 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1358, zip_derived_cl357])).
% 7.98/1.78 thf(zip_derived_cl1429, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssRr @ X1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1428])).
% 7.98/1.78 thf(zip_derived_cl2057, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv3 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssRr @ X1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl1429])).
% 7.98/1.78 thf(zip_derived_cl1355, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv3 @ X0) | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1353, zip_derived_cl357])).
% 7.98/1.78 thf(zip_derived_cl2640, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0) | ~ (ssPv3 @ X0) | ~ (ssPv1 @ (skf2 @ (skf2 @ X0))))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl2639, zip_derived_cl1355])).
% 7.98/1.78 thf(zip_derived_cl2641, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl1355, zip_derived_cl2640])).
% 7.98/1.78 thf(zip_derived_cl1342, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv2 @ (skf2 @ X0)) | ~ (ssPv3 @ X0) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl1340])).
% 7.98/1.78 thf(zip_derived_cl2648, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl2641, zip_derived_cl1342])).
% 7.98/1.78 thf(zip_derived_cl2789, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv3 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv4 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl2057, zip_derived_cl2648])).
% 7.98/1.78 thf(zip_derived_cl931, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0)) | ~ (ssPv2 @ X0) | ~ (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl930])).
% 7.98/1.78 thf(zip_derived_cl2790, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssRr @ X1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv3 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl2789, zip_derived_cl931])).
% 7.98/1.78 thf(zip_derived_cl2798, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 ( (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssRr @ X1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X1))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl2710, zip_derived_cl2790])).
% 7.98/1.78 thf(zip_derived_cl2801, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl2798])).
% 7.98/1.78 thf(zip_derived_cl2894, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0)
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2801])).
% 7.98/1.78 thf(zip_derived_cl2233, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv1 @ X0) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl2232, zip_derived_cl390])).
% 7.98/1.78 thf(zip_derived_cl2923, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv2 @ (skf2 @ X0)) | ~ (ssPv2 @ X0) | (ssPv4 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl2894, zip_derived_cl2233])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl1743, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ (skf2 @ X0)) | (ssPv4 @ (skf2 @ X0)) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1716, zip_derived_cl931])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(zip_derived_cl3523, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X1) | ~ (ssRr @ X1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3514, zip_derived_cl3367])).
% 7.98/1.78 thf(zip_derived_cl3524, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0) | ~ (ssPv2 @ (skf2 @ X0)) | ~ (ssPv4 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3523])).
% 7.98/1.78 thf(zip_derived_cl1245, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0) | (ssPv2 @ (skf2 @ X0)) | ~ (ssPv4 @ (skf2 @ X0)))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl1157, zip_derived_cl1158])).
% 7.98/1.78 thf(zip_derived_cl3540, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv4 @ (skf2 @ X0)) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3524, zip_derived_cl1245])).
% 7.98/1.78 thf(zip_derived_cl3544, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv2 @ X0) | (ssPv1 @ (skf2 @ X0)) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl1743, zip_derived_cl3540])).
% 7.98/1.78 thf(zip_derived_cl3548, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv1 @ (skf2 @ X0)) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl3544])).
% 7.98/1.78 thf(zip_derived_cl99, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 (~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl51])).
% 7.98/1.78 thf(zip_derived_cl3550, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X2)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl3548, zip_derived_cl99])).
% 7.98/1.78 thf(zip_derived_cl3574, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X1)
% 7.98/1.78 | ~ (ssPv1 @ X1)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl3550])).
% 7.98/1.78 thf(zip_derived_cl3575, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3574])).
% 7.98/1.78 thf(zip_derived_cl3548, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv1 @ (skf2 @ X0)) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl3544])).
% 7.98/1.78 thf(zip_derived_cl3618, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv2 @ (skf2 @ X0)) | ~ (ssPv1 @ X0) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3575, zip_derived_cl3548])).
% 7.98/1.78 thf(zip_derived_cl3624, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv1 @ X0) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl2923, zip_derived_cl3618])).
% 7.98/1.78 thf(zip_derived_cl3630, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv1 @ X0) | ~ (ssPv2 @ X0) | (ssPv4 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl3624])).
% 7.98/1.78 thf(zip_derived_cl2233, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv1 @ X0) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl2232, zip_derived_cl390])).
% 7.98/1.78 thf(zip_derived_cl3632, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3630, zip_derived_cl2233])).
% 7.98/1.78 thf(zip_derived_cl281, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl280])).
% 7.98/1.78 thf(zip_derived_cl3648, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl3632, zip_derived_cl281])).
% 7.98/1.78 thf(zip_derived_cl3656, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv1 @ X0) | ~ (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl3648])).
% 7.98/1.78 thf(zip_derived_cl3632, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3630, zip_derived_cl2233])).
% 7.98/1.78 thf(zip_derived_cl3540, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv4 @ (skf2 @ X0)) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3524, zip_derived_cl1245])).
% 7.98/1.78 thf(zip_derived_cl3653, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv2 @ (skf2 @ X0)) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl3632, zip_derived_cl3540])).
% 7.98/1.78 thf(zip_derived_cl3701, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv2 @ (skf2 @ X0)) | (ssPv1 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3656, zip_derived_cl3653])).
% 7.98/1.78 thf(zip_derived_cl3708, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl656, zip_derived_cl3701])).
% 7.98/1.78 thf(zip_derived_cl3714, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv2 @ (skf2 @ X0)) | (ssPv1 @ (skf2 @ X0)) | (ssPv4 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl3708])).
% 7.98/1.78 thf(zip_derived_cl3741, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv1 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3740, zip_derived_cl3109])).
% 7.98/1.78 thf(zip_derived_cl3367, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv3 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3366, zip_derived_cl1342])).
% 7.98/1.78 thf(zip_derived_cl3743, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl3741, zip_derived_cl3367])).
% 7.98/1.78 thf(zip_derived_cl3799, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0) | (ssPv1 @ (skf2 @ X0)) | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl3714, zip_derived_cl3743])).
% 7.98/1.78 thf(zip_derived_cl3803, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv1 @ (skf2 @ X0)) | (ssPv4 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl3799])).
% 7.98/1.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.78 thf(clause9, conjecture,
% 7.98/1.78 (~( ( ssPv4 @ V ) | ( ssPv1 @ W ) | ( ssPv4 @ U ) | ( ~( ssPv1 @ V ) ) |
% 7.98/1.78 ( ~( ssRr @ W @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.78 thf(zf_stmt_30, negated_conjecture,
% 7.98/1.78 (( ssPv4 @ V ) | ( ssPv1 @ W ) | ( ssPv4 @ U ) | ( ~( ssPv1 @ V ) ) |
% 7.98/1.78 ( ~( ssRr @ W @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 7.98/1.78 inference('cnf.neg', [status(esa)], [clause9])).
% 7.98/1.78 thf(zip_derived_cl8, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X1)
% 7.98/1.78 | (ssPv4 @ X2)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | ~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_30])).
% 7.98/1.78 thf(zip_derived_cl77, plain,
% 7.98/1.78 (![X0 : $i, X1 : $i]:
% 7.98/1.78 (~ (ssRr @ X1 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X1)
% 7.98/1.78 | (ssPv1 @ X1)
% 7.98/1.78 | (ssPv4 @ X0))),
% 7.98/1.78 inference('eq_fact', [status(thm)], [zip_derived_cl8])).
% 7.98/1.78 thf(zip_derived_cl82, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl77])).
% 7.98/1.78 thf(zip_derived_cl281, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv4 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl280])).
% 7.98/1.78 thf(zip_derived_cl298, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl281])).
% 7.98/1.78 thf(zip_derived_cl303, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv2 @ X0)
% 7.98/1.78 | ~ (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl298])).
% 7.98/1.78 thf(zip_derived_cl82, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 (~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl77])).
% 7.98/1.78 thf(zip_derived_cl1158, plain,
% 7.98/1.78 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl1145])).
% 7.98/1.78 thf(zip_derived_cl1183, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.78 inference('s_sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl1158])).
% 7.98/1.78 thf(zip_derived_cl1188, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv2 @ (skf2 @ X0))
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | (ssPv1 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl1183])).
% 7.98/1.78 thf(zip_derived_cl1818, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv1 @ X0)
% 7.98/1.78 | (ssPv4 @ X0)
% 7.98/1.78 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.78 | (ssPv2 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl303, zip_derived_cl1188])).
% 7.98/1.78 thf(zip_derived_cl3819, plain,
% 7.98/1.78 (![X0 : $i]:
% 7.98/1.78 ( (ssPv4 @ X0) | (ssPv1 @ X0) | (ssPv4 @ X0) | (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl3803, zip_derived_cl1818])).
% 7.98/1.78 thf(zip_derived_cl3823, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv1 @ X0) | (ssPv4 @ X0))),
% 7.98/1.78 inference('simplify', [status(thm)], [zip_derived_cl3819])).
% 7.98/1.78 thf(zip_derived_cl3743, plain,
% 7.98/1.78 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0))),
% 7.98/1.78 inference('s_sup-', [status(thm)],
% 7.98/1.78 [zip_derived_cl3741, zip_derived_cl3367])).
% 7.98/1.78 thf(zip_derived_cl3835, plain, (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv1 @ X0))),
% 7.98/1.78 inference('clc', [status(thm)], [zip_derived_cl3823, zip_derived_cl3743])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.79 thf(zip_derived_cl22, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.79 ( (ssPv2 @ X0)
% 7.98/1.79 | (ssPv2 @ X1)
% 7.98/1.79 | ~ (ssPv4 @ X0)
% 7.98/1.79 | ~ (ssPv1 @ X2)
% 7.98/1.79 | ~ (ssRr @ X0 @ X2)
% 7.98/1.79 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.79 inference('cnf', [status(esa)], [zf_stmt_19])).
% 7.98/1.79 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.79 thf(zip_derived_cl3803, plain,
% 7.98/1.79 (![X0 : $i]: ( (ssPv1 @ (skf2 @ X0)) | (ssPv4 @ X0))),
% 7.98/1.79 inference('simplify', [status(thm)], [zip_derived_cl3799])).
% 7.98/1.79 thf(zip_derived_cl99, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.79 (~ (ssPv1 @ X0)
% 7.98/1.79 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.79 | ~ (ssPv1 @ X1)
% 7.98/1.79 | ~ (ssRr @ X1 @ X0)
% 7.98/1.79 | ~ (ssPv2 @ X2)
% 7.98/1.79 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl51])).
% 7.98/1.79 thf(zip_derived_cl3808, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.79 ( (ssPv4 @ X0)
% 7.98/1.79 | ~ (ssPv1 @ X0)
% 7.98/1.79 | ~ (ssPv1 @ X1)
% 7.98/1.79 | ~ (ssRr @ X1 @ X0)
% 7.98/1.79 | ~ (ssPv2 @ X2)
% 7.98/1.79 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl3803, zip_derived_cl99])).
% 7.98/1.79 thf(zip_derived_cl3344, plain,
% 7.98/1.79 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv4 @ X0) | (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl3342, zip_derived_cl1743])).
% 7.98/1.79 thf(zip_derived_cl99, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.79 (~ (ssPv1 @ X0)
% 7.98/1.79 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.79 | ~ (ssPv1 @ X1)
% 7.98/1.79 | ~ (ssRr @ X1 @ X0)
% 7.98/1.79 | ~ (ssPv2 @ X2)
% 7.98/1.79 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl51])).
% 7.98/1.79 thf(zip_derived_cl3347, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.79 (~ (ssPv4 @ X0)
% 7.98/1.79 | ~ (ssPv2 @ X0)
% 7.98/1.79 | ~ (ssPv1 @ X0)
% 7.98/1.79 | ~ (ssPv1 @ X1)
% 7.98/1.79 | ~ (ssRr @ X1 @ X0)
% 7.98/1.79 | ~ (ssPv2 @ X2)
% 7.98/1.79 | ~ (ssRr @ X2 @ X0))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl3344, zip_derived_cl99])).
% 7.98/1.79 thf(zip_derived_cl1158, plain,
% 7.98/1.79 (![X0 : $i]: (~ (ssPv1 @ X0) | (ssPv2 @ X0) | ~ (ssPv4 @ X0))),
% 7.98/1.79 inference('simplify', [status(thm)], [zip_derived_cl1145])).
% 7.98/1.79 thf(zip_derived_cl3463, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.79 (~ (ssRr @ X2 @ X0)
% 7.98/1.79 | ~ (ssPv2 @ X2)
% 7.98/1.79 | ~ (ssRr @ X1 @ X0)
% 7.98/1.79 | ~ (ssPv1 @ X1)
% 7.98/1.79 | ~ (ssPv1 @ X0)
% 7.98/1.79 | ~ (ssPv4 @ X0))),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl3347, zip_derived_cl1158])).
% 7.98/1.79 thf(zip_derived_cl3828, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.79 (~ (ssRr @ X2 @ X0)
% 7.98/1.79 | ~ (ssPv2 @ X2)
% 7.98/1.79 | ~ (ssRr @ X1 @ X0)
% 7.98/1.79 | ~ (ssPv1 @ X1)
% 7.98/1.79 | ~ (ssPv1 @ X0))),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl3808, zip_derived_cl3463])).
% 7.98/1.79 thf(zip_derived_cl3831, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i]:
% 7.98/1.79 (~ (ssPv1 @ X0) | ~ (ssPv1 @ X1) | ~ (ssRr @ X1 @ X0) | ~ (ssPv2 @ X1))),
% 7.98/1.79 inference('eq_fact', [status(thm)], [zip_derived_cl3828])).
% 7.98/1.79 thf(zip_derived_cl3743, plain,
% 7.98/1.79 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ X0))),
% 7.98/1.79 inference('s_sup-', [status(thm)],
% 7.98/1.79 [zip_derived_cl3741, zip_derived_cl3367])).
% 7.98/1.79 thf(zip_derived_cl3832, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i]:
% 7.98/1.79 (~ (ssPv2 @ X1) | ~ (ssRr @ X1 @ X0) | ~ (ssPv1 @ X0))),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl3831, zip_derived_cl3743])).
% 7.98/1.79 thf(zip_derived_cl3833, plain,
% 7.98/1.79 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv1 @ (skf2 @ X0)))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3832])).
% 7.98/1.79 thf(zip_derived_cl3548, plain,
% 7.98/1.79 (![X0 : $i]: ( (ssPv1 @ (skf2 @ X0)) | ~ (ssPv2 @ X0))),
% 7.98/1.79 inference('simplify', [status(thm)], [zip_derived_cl3544])).
% 7.98/1.79 thf(zip_derived_cl3862, plain, (![X0 : $i]: ~ (ssPv2 @ X0)),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl3833, zip_derived_cl3548])).
% 7.98/1.79 thf(zip_derived_cl3863, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.79 ( (ssPv2 @ X1)
% 7.98/1.79 | ~ (ssPv4 @ X0)
% 7.98/1.79 | ~ (ssPv1 @ X2)
% 7.98/1.79 | ~ (ssRr @ X0 @ X2)
% 7.98/1.79 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.79 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl3862])).
% 7.98/1.79 thf(zip_derived_cl3862, plain, (![X0 : $i]: ~ (ssPv2 @ X0)),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl3833, zip_derived_cl3548])).
% 7.98/1.79 thf(zip_derived_cl3929, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.79 (~ (ssRr @ X1 @ X0)
% 7.98/1.79 | ~ (ssRr @ X0 @ X2)
% 7.98/1.79 | ~ (ssPv1 @ X2)
% 7.98/1.79 | ~ (ssPv4 @ X0))),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl3863, zip_derived_cl3862])).
% 7.98/1.79 thf(zip_derived_cl3931, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i]:
% 7.98/1.79 (~ (ssRr @ X0 @ X1) | ~ (ssPv1 @ X1) | ~ (ssPv4 @ X0))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3929])).
% 7.98/1.79 thf(zip_derived_cl3934, plain,
% 7.98/1.79 (![X0 : $i]: (~ (ssPv1 @ X0) | ~ (ssPv4 @ (skf3 @ X0)))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3931])).
% 7.98/1.79 thf(zip_derived_cl3943, plain,
% 7.98/1.79 (![X0 : $i]: ( (ssPv1 @ (skf3 @ X0)) | ~ (ssPv1 @ X0))),
% 7.98/1.79 inference('s_sup-', [status(thm)],
% 7.98/1.79 [zip_derived_cl3835, zip_derived_cl3934])).
% 7.98/1.79 thf(zip_derived_cl3943, plain,
% 7.98/1.79 (![X0 : $i]: ( (ssPv1 @ (skf3 @ X0)) | ~ (ssPv1 @ X0))),
% 7.98/1.79 inference('s_sup-', [status(thm)],
% 7.98/1.79 [zip_derived_cl3835, zip_derived_cl3934])).
% 7.98/1.79 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.79 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.79 thf(zip_derived_cl657, plain,
% 7.98/1.79 (![X0 : $i]:
% 7.98/1.79 ( (ssPv2 @ X0)
% 7.98/1.79 | (ssPv1 @ X0)
% 7.98/1.79 | (ssPv2 @ (skf2 @ X0))
% 7.98/1.79 | (ssPv4 @ (skf3 @ X0)))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl69])).
% 7.98/1.79 thf(zip_derived_cl3862, plain, (![X0 : $i]: ~ (ssPv2 @ X0)),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl3833, zip_derived_cl3548])).
% 7.98/1.79 thf(zip_derived_cl3862, plain, (![X0 : $i]: ~ (ssPv2 @ X0)),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl3833, zip_derived_cl3548])).
% 7.98/1.79 thf(zip_derived_cl3880, plain,
% 7.98/1.79 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv4 @ (skf3 @ X0)))),
% 7.98/1.79 inference('demod', [status(thm)],
% 7.98/1.79 [zip_derived_cl657, zip_derived_cl3862, zip_derived_cl3862])).
% 7.98/1.79 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.79 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.79 thf(zip_derived_cl45, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.98/1.79 ( (ssPv2 @ X0)
% 7.98/1.79 | ~ (ssPv1 @ X1)
% 7.98/1.79 | ~ (ssRr @ X1 @ X0)
% 7.98/1.79 | ~ (ssPv3 @ X2)
% 7.98/1.79 | ~ (ssRr @ X2 @ X0)
% 7.98/1.79 | ~ (ssPv4 @ X3)
% 7.98/1.79 | ~ (ssRr @ X3 @ X0))),
% 7.98/1.79 inference('cnf', [status(esa)], [zf_stmt_20])).
% 7.98/1.79 thf(zip_derived_cl547, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.79 ( (ssPv2 @ (skf2 @ X0))
% 7.98/1.79 | ~ (ssPv1 @ X0)
% 7.98/1.79 | ~ (ssPv3 @ X1)
% 7.98/1.79 | ~ (ssRr @ X1 @ (skf2 @ X0))
% 7.98/1.79 | ~ (ssPv4 @ X2)
% 7.98/1.79 | ~ (ssRr @ X2 @ (skf2 @ X0)))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl45])).
% 7.98/1.79 thf(zip_derived_cl3070, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i]:
% 7.98/1.79 (~ (ssRr @ X1 @ (skf2 @ X0))
% 7.98/1.79 | ~ (ssPv4 @ X1)
% 7.98/1.79 | ~ (ssPv3 @ X1)
% 7.98/1.79 | ~ (ssPv1 @ X0)
% 7.98/1.79 | (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.79 inference('eq_fact', [status(thm)], [zip_derived_cl547])).
% 7.98/1.79 thf(zip_derived_cl3246, plain,
% 7.98/1.79 (![X0 : $i]:
% 7.98/1.79 (~ (ssPv4 @ (skf3 @ (skf2 @ X0)))
% 7.98/1.79 | ~ (ssPv3 @ (skf3 @ (skf2 @ X0)))
% 7.98/1.79 | ~ (ssPv1 @ X0)
% 7.98/1.79 | (ssPv2 @ (skf2 @ X0)))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3070])).
% 7.98/1.79 thf(zip_derived_cl3862, plain, (![X0 : $i]: ~ (ssPv2 @ X0)),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl3833, zip_derived_cl3548])).
% 7.98/1.79 thf(zip_derived_cl3895, plain,
% 7.98/1.79 (![X0 : $i]:
% 7.98/1.79 (~ (ssPv4 @ (skf3 @ (skf2 @ X0)))
% 7.98/1.79 | ~ (ssPv3 @ (skf3 @ (skf2 @ X0)))
% 7.98/1.79 | ~ (ssPv1 @ X0))),
% 7.98/1.79 inference('demod', [status(thm)],
% 7.98/1.79 [zip_derived_cl3246, zip_derived_cl3862])).
% 7.98/1.79 thf(zip_derived_cl1143, plain,
% 7.98/1.79 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl1119, zip_derived_cl239])).
% 7.98/1.79 thf(zip_derived_cl3862, plain, (![X0 : $i]: ~ (ssPv2 @ X0)),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl3833, zip_derived_cl3548])).
% 7.98/1.79 thf(zip_derived_cl3887, plain,
% 7.98/1.79 (![X0 : $i]: ( (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 7.98/1.79 inference('demod', [status(thm)],
% 7.98/1.79 [zip_derived_cl1143, zip_derived_cl3862])).
% 7.98/1.79 thf(zip_derived_cl3992, plain,
% 7.98/1.79 (![X0 : $i]: (~ (ssPv1 @ X0) | ~ (ssPv4 @ (skf3 @ (skf2 @ X0))))),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl3895, zip_derived_cl3887])).
% 7.98/1.79 thf(zip_derived_cl3994, plain,
% 7.98/1.79 (![X0 : $i]: ( (ssPv1 @ (skf2 @ X0)) | ~ (ssPv1 @ X0))),
% 7.98/1.79 inference('s_sup-', [status(thm)],
% 7.98/1.79 [zip_derived_cl3880, zip_derived_cl3992])).
% 7.98/1.79 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.79 thf(clause51, conjecture,
% 7.98/1.79 (~( ( ssPv4 @ U ) | ( ~( ssPv3 @ V ) ) | ( ~( ssPv1 @ X ) ) |
% 7.98/1.79 ( ~( ssRr @ V @ X ) ) | ( ~( ssPv3 @ W ) ) | ( ~( ssRr @ V @ W ) ) |
% 7.98/1.79 ( ~( ssRr @ U @ V ) ) ))).
% 7.98/1.79 thf(zf_stmt_31, negated_conjecture,
% 7.98/1.79 (( ssPv4 @ U ) | ( ~( ssPv3 @ V ) ) | ( ~( ssPv1 @ X ) ) |
% 7.98/1.79 ( ~( ssRr @ V @ X ) ) | ( ~( ssPv3 @ W ) ) | ( ~( ssRr @ V @ W ) ) |
% 7.98/1.79 ( ~( ssRr @ U @ V ) )),
% 7.98/1.79 inference('cnf.neg', [status(esa)], [clause51])).
% 7.98/1.79 thf(zip_derived_cl50, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.98/1.79 ( (ssPv4 @ X0)
% 7.98/1.79 | ~ (ssPv3 @ X1)
% 7.98/1.79 | ~ (ssPv1 @ X2)
% 7.98/1.79 | ~ (ssRr @ X1 @ X2)
% 7.98/1.79 | ~ (ssPv3 @ X3)
% 7.98/1.79 | ~ (ssRr @ X1 @ X3)
% 7.98/1.79 | ~ (ssRr @ X0 @ X1))),
% 7.98/1.79 inference('cnf', [status(esa)], [zf_stmt_31])).
% 7.98/1.79 thf(zip_derived_cl639, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.79 ( (ssPv4 @ X1)
% 7.98/1.79 | ~ (ssPv3 @ X0)
% 7.98/1.79 | ~ (ssPv1 @ (skf2 @ X0))
% 7.98/1.79 | ~ (ssPv3 @ X2)
% 7.98/1.79 | ~ (ssRr @ X0 @ X2)
% 7.98/1.79 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl50])).
% 7.98/1.79 thf(zip_derived_cl3998, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.79 (~ (ssPv1 @ X0)
% 7.98/1.79 | (ssPv4 @ X1)
% 7.98/1.79 | ~ (ssPv3 @ X0)
% 7.98/1.79 | ~ (ssPv3 @ X2)
% 7.98/1.79 | ~ (ssRr @ X0 @ X2)
% 7.98/1.79 | ~ (ssRr @ X1 @ X0))),
% 7.98/1.79 inference('s_sup-', [status(thm)],
% 7.98/1.79 [zip_derived_cl3994, zip_derived_cl639])).
% 7.98/1.79 thf(zip_derived_cl3931, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i]:
% 7.98/1.79 (~ (ssRr @ X0 @ X1) | ~ (ssPv1 @ X1) | ~ (ssPv4 @ X0))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3929])).
% 7.98/1.79 thf(zip_derived_cl4007, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.79 (~ (ssRr @ X1 @ X0)
% 7.98/1.79 | ~ (ssRr @ X0 @ X2)
% 7.98/1.79 | ~ (ssPv3 @ X2)
% 7.98/1.79 | ~ (ssPv3 @ X0)
% 7.98/1.79 | ~ (ssPv1 @ X0))),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl3998, zip_derived_cl3931])).
% 7.98/1.79 thf(zip_derived_cl4009, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i]:
% 7.98/1.79 (~ (ssRr @ X0 @ X1) | ~ (ssPv3 @ X1) | ~ (ssPv3 @ X0) | ~ (ssPv1 @ X0))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4007])).
% 7.98/1.79 thf(zip_derived_cl4022, plain,
% 7.98/1.79 (![X0 : $i]:
% 7.98/1.79 (~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf3 @ X0)) | ~ (ssPv1 @ (skf3 @ X0)))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4009])).
% 7.98/1.79 thf(zip_derived_cl3803, plain,
% 7.98/1.79 (![X0 : $i]: ( (ssPv1 @ (skf2 @ X0)) | (ssPv4 @ X0))),
% 7.98/1.79 inference('simplify', [status(thm)], [zip_derived_cl3799])).
% 7.98/1.79 thf(zip_derived_cl1, plain, (![X0 : $i]: (ssRr @ X0 @ (skf2 @ X0))),
% 7.98/1.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.98/1.79 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ (skf3 @ X0) @ X0)),
% 7.98/1.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.98/1.79 thf(zip_derived_cl10, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.79 ( (ssPv4 @ X0)
% 7.98/1.79 | (ssPv3 @ X0)
% 7.98/1.79 | (ssPv2 @ X1)
% 7.98/1.79 | ~ (ssRr @ X0 @ X1)
% 7.98/1.79 | ~ (ssPv1 @ X2)
% 7.98/1.79 | ~ (ssRr @ X0 @ X2))),
% 7.98/1.79 inference('cnf', [status(esa)], [zf_stmt_28])).
% 7.98/1.79 thf(zip_derived_cl89, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i]:
% 7.98/1.79 ( (ssPv4 @ (skf3 @ X0))
% 7.98/1.79 | (ssPv3 @ (skf3 @ X0))
% 7.98/1.79 | (ssPv2 @ X0)
% 7.98/1.79 | ~ (ssPv1 @ X1)
% 7.98/1.79 | ~ (ssRr @ (skf3 @ X0) @ X1))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl10])).
% 7.98/1.79 thf(zip_derived_cl791, plain,
% 7.98/1.79 (![X0 : $i]:
% 7.98/1.79 ( (ssPv4 @ (skf3 @ X0))
% 7.98/1.79 | (ssPv3 @ (skf3 @ X0))
% 7.98/1.79 | (ssPv2 @ X0)
% 7.98/1.79 | ~ (ssPv1 @ (skf2 @ (skf3 @ X0))))),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl89])).
% 7.98/1.79 thf(zip_derived_cl3821, plain,
% 7.98/1.79 (![X0 : $i]:
% 7.98/1.79 ( (ssPv4 @ (skf3 @ X0))
% 7.98/1.79 | (ssPv4 @ (skf3 @ X0))
% 7.98/1.79 | (ssPv3 @ (skf3 @ X0))
% 7.98/1.79 | (ssPv2 @ X0))),
% 7.98/1.79 inference('s_sup-', [status(thm)],
% 7.98/1.79 [zip_derived_cl3803, zip_derived_cl791])).
% 7.98/1.79 thf(zip_derived_cl3824, plain,
% 7.98/1.79 (![X0 : $i]:
% 7.98/1.79 ( (ssPv2 @ X0) | (ssPv3 @ (skf3 @ X0)) | (ssPv4 @ (skf3 @ X0)))),
% 7.98/1.79 inference('simplify', [status(thm)], [zip_derived_cl3821])).
% 7.98/1.79 thf(zip_derived_cl3862, plain, (![X0 : $i]: ~ (ssPv2 @ X0)),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl3833, zip_derived_cl3548])).
% 7.98/1.79 thf(zip_derived_cl4026, plain,
% 7.98/1.79 (![X0 : $i]: ( (ssPv3 @ (skf3 @ X0)) | (ssPv4 @ (skf3 @ X0)))),
% 7.98/1.79 inference('demod', [status(thm)],
% 7.98/1.79 [zip_derived_cl3824, zip_derived_cl3862])).
% 7.98/1.79 thf(zip_derived_cl3887, plain,
% 7.98/1.79 (![X0 : $i]: ( (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 7.98/1.79 inference('demod', [status(thm)],
% 7.98/1.79 [zip_derived_cl1143, zip_derived_cl3862])).
% 7.98/1.79 thf(zip_derived_cl4027, plain, (![X0 : $i]: (ssPv3 @ (skf3 @ X0))),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl4026, zip_derived_cl3887])).
% 7.98/1.79 thf(zip_derived_cl4036, plain,
% 7.98/1.79 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv1 @ (skf3 @ X0)))),
% 7.98/1.79 inference('demod', [status(thm)],
% 7.98/1.79 [zip_derived_cl4022, zip_derived_cl4027])).
% 7.98/1.79 thf(zip_derived_cl4037, plain,
% 7.98/1.79 (![X0 : $i]: (~ (ssPv1 @ X0) | ~ (ssPv3 @ X0))),
% 7.98/1.79 inference('s_sup-', [status(thm)],
% 7.98/1.79 [zip_derived_cl3943, zip_derived_cl4036])).
% 7.98/1.79 thf(zip_derived_cl4027, plain, (![X0 : $i]: (ssPv3 @ (skf3 @ X0))),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl4026, zip_derived_cl3887])).
% 7.98/1.79 thf(zip_derived_cl4042, plain, (![X0 : $i]: ~ (ssPv1 @ (skf3 @ X0))),
% 7.98/1.79 inference('s_sup+', [status(thm)],
% 7.98/1.79 [zip_derived_cl4037, zip_derived_cl4027])).
% 7.98/1.79 thf(zip_derived_cl4049, plain, (![X0 : $i]: ~ (ssPv1 @ X0)),
% 7.98/1.79 inference('s_sup-', [status(thm)],
% 7.98/1.79 [zip_derived_cl3943, zip_derived_cl4042])).
% 7.98/1.79 thf(zip_derived_cl4062, plain, (![X0 : $i]: (ssPv3 @ X0)),
% 7.98/1.79 inference('demod', [status(thm)],
% 7.98/1.79 [zip_derived_cl3741, zip_derived_cl4049])).
% 7.98/1.79 thf(zip_derived_cl4062, plain, (![X0 : $i]: (ssPv3 @ X0)),
% 7.98/1.79 inference('demod', [status(thm)],
% 7.98/1.79 [zip_derived_cl3741, zip_derived_cl4049])).
% 7.98/1.79 thf(zip_derived_cl4070, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.98/1.79 ( (ssPv1 @ X0)
% 7.98/1.79 | ~ (ssRr @ X0 @ X1)
% 7.98/1.79 | ~ (ssRr @ X2 @ X0)
% 7.98/1.79 | ~ (ssPv4 @ X3)
% 7.98/1.79 | ~ (ssRr @ X3 @ X0))),
% 7.98/1.79 inference('demod', [status(thm)],
% 7.98/1.79 [zip_derived_cl49, zip_derived_cl4062, zip_derived_cl4062])).
% 7.98/1.79 thf(zip_derived_cl3835, plain, (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv1 @ X0))),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl3823, zip_derived_cl3743])).
% 7.98/1.79 thf(zip_derived_cl4049, plain, (![X0 : $i]: ~ (ssPv1 @ X0)),
% 7.98/1.79 inference('s_sup-', [status(thm)],
% 7.98/1.79 [zip_derived_cl3943, zip_derived_cl4042])).
% 7.98/1.79 thf(zip_derived_cl4063, plain, (![X0 : $i]: (ssPv4 @ X0)),
% 7.98/1.79 inference('demod', [status(thm)],
% 7.98/1.79 [zip_derived_cl3835, zip_derived_cl4049])).
% 7.98/1.79 thf(zip_derived_cl4079, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.98/1.79 ( (ssPv1 @ X0)
% 7.98/1.79 | ~ (ssRr @ X0 @ X1)
% 7.98/1.79 | ~ (ssRr @ X2 @ X0)
% 7.98/1.79 | ~ (ssRr @ X3 @ X0))),
% 7.98/1.79 inference('demod', [status(thm)],
% 7.98/1.79 [zip_derived_cl4070, zip_derived_cl4063])).
% 7.98/1.79 thf(zip_derived_cl4080, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.98/1.79 ( (ssPv1 @ X0) | ~ (ssRr @ X0 @ X1) | ~ (ssRr @ X2 @ X0))),
% 7.98/1.79 inference('condensation', [status(thm)], [zip_derived_cl4079])).
% 7.98/1.79 thf(zip_derived_cl4049, plain, (![X0 : $i]: ~ (ssPv1 @ X0)),
% 7.98/1.79 inference('s_sup-', [status(thm)],
% 7.98/1.79 [zip_derived_cl3943, zip_derived_cl4042])).
% 7.98/1.79 thf(zip_derived_cl4081, plain,
% 7.98/1.79 (![X0 : $i, X1 : $i, X2 : $i]: (~ (ssRr @ X2 @ X0) | ~ (ssRr @ X0 @ X1))),
% 7.98/1.79 inference('clc', [status(thm)], [zip_derived_cl4080, zip_derived_cl4049])).
% 7.98/1.79 thf(zip_derived_cl4083, plain, (![X0 : $i, X1 : $i]: ~ (ssRr @ X0 @ X1)),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4081])).
% 7.98/1.79 thf(zip_derived_cl4087, plain, ($false),
% 7.98/1.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4083])).
% 7.98/1.79
% 7.98/1.79 % SZS output end Refutation
% 7.98/1.79
% 7.98/1.79
% 7.98/1.79 % Terminating...
% 7.98/1.89 % Runner terminated.
% 7.98/1.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------