TSTP Solution File: SYN755-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN755-1 : 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.R6cXcSQcS7 true
% Computer : n013.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 04:05:25 EDT 2023
% Result : Unsatisfiable 1.70s 1.02s
% Output : Refutation 1.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN755-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.R6cXcSQcS7 true
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 19:35:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % 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
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.35/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.70/1.02 % Solved by fo/fo5.sh.
% 1.70/1.02 % done 325 iterations in 0.210s
% 1.70/1.02 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.70/1.02 % SZS output start Refutation
% 1.70/1.02 thf(skf1_type, type, skf1: $i > $i).
% 1.70/1.02 thf(ssPv1_type, type, ssPv1: $i > $o).
% 1.70/1.02 thf(ssPv2_type, type, ssPv2: $i > $o).
% 1.70/1.02 thf(ssPv3_type, type, ssPv3: $i > $o).
% 1.70/1.02 thf(ssPv4_type, type, ssPv4: $i > $o).
% 1.70/1.02 thf(ssRr_type, type, ssRr: $i > $i > $o).
% 1.70/1.02 thf(clause1, conjecture, (~( ssRr @ U @ ( skf1 @ U ) ))).
% 1.70/1.02 thf(zf_stmt_0, negated_conjecture, (ssRr @ U @ ( skf1 @ U )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause1])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause47, conjecture,
% 1.70/1.02 (~( ( ssPv4 @ X ) | ( ~( ssPv1 @ U ) ) | ( ~( ssRr @ U @ X ) ) |
% 1.70/1.02 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_1, negated_conjecture,
% 1.70/1.02 (( ssPv4 @ X ) | ( ~( ssPv1 @ U ) ) | ( ~( ssRr @ U @ X ) ) |
% 1.70/1.02 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause47])).
% 1.70/1.02 thf(zip_derived_cl46, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.70/1.02 ( (ssPv4 @ X0)
% 1.70/1.02 | ~ (ssPv1 @ X1)
% 1.70/1.02 | ~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X2)
% 1.70/1.02 | ~ (ssRr @ X1 @ X2)
% 1.70/1.02 | ~ (ssPv3 @ X3)
% 1.70/1.02 | ~ (ssRr @ X1 @ X3))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.70/1.02 thf(zip_derived_cl479, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 (~ (ssRr @ X1 @ X2)
% 1.70/1.02 | ~ (ssPv3 @ X2)
% 1.70/1.02 | ~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv1 @ X1)
% 1.70/1.02 | (ssPv4 @ X0))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl46])).
% 1.70/1.02 thf(zip_derived_cl482, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 ( (ssPv4 @ X0)
% 1.70/1.02 | ~ (ssPv1 @ X1)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ X0))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl479])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause10, conjecture,
% 1.70/1.02 (~( ( ssPv3 @ U ) | ( ssPv2 @ W ) | ( ssPv3 @ V ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_2, negated_conjecture,
% 1.70/1.02 (( ssPv3 @ U ) | ( ssPv2 @ W ) | ( ssPv3 @ V ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause10])).
% 1.70/1.02 thf(zip_derived_cl9, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ X1)
% 1.70/1.02 | (ssPv3 @ X2)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1)
% 1.70/1.02 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.70/1.02 thf(zip_derived_cl102, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 (~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X1)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X1))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl9])).
% 1.70/1.02 thf(zip_derived_cl108, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl102])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause3, conjecture,
% 1.70/1.02 (~( ( ssPv4 @ U ) | ( ssPv3 @ U ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.02 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_3, negated_conjecture,
% 1.70/1.02 (( ssPv4 @ U ) | ( ssPv3 @ U ) | ( ~( ssPv2 @ U ) ) | ( ~( ssPv3 @ V ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause3])).
% 1.70/1.02 thf(zip_derived_cl2, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 ( (ssPv4 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ X1)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.70/1.02 thf(zip_derived_cl53, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv4 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.70/1.02 thf(zip_derived_cl109, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv4 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl53])).
% 1.70/1.02 thf(zip_derived_cl114, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv4 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl109])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause37, conjecture,
% 1.70/1.02 (~( ( ssPv4 @ U ) | ( ssPv1 @ X ) | ( ssPv3 @ W ) |
% 1.70/1.02 ( ~( ssRr @ U @ X ) ) | ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_4, negated_conjecture,
% 1.70/1.02 (( ssPv4 @ U ) | ( ssPv1 @ X ) | ( ssPv3 @ W ) | ( ~( ssRr @ U @ X ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause37])).
% 1.70/1.02 thf(zip_derived_cl36, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.70/1.02 ( (ssPv4 @ X0)
% 1.70/1.02 | (ssPv1 @ X1)
% 1.70/1.02 | (ssPv3 @ X2)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1)
% 1.70/1.02 | ~ (ssRr @ X0 @ X2)
% 1.70/1.02 | ~ (ssPv2 @ X3)
% 1.70/1.02 | ~ (ssRr @ X0 @ X3))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.70/1.02 thf(zip_derived_cl263, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 (~ (ssRr @ X1 @ X2)
% 1.70/1.02 | ~ (ssPv2 @ X2)
% 1.70/1.02 | ~ (ssRr @ X1 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | (ssPv4 @ X1))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl36])).
% 1.70/1.02 thf(zip_derived_cl284, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 ( (ssPv4 @ X1)
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl263])).
% 1.70/1.02 thf(zip_derived_cl290, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv4 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl284])).
% 1.70/1.02 thf(zip_derived_cl291, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv4 @ X0)
% 1.70/1.02 | (ssPv4 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl114, zip_derived_cl290])).
% 1.70/1.02 thf(zip_derived_cl294, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv4 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl291])).
% 1.70/1.02 thf(zip_derived_cl53, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv4 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.70/1.02 thf(zip_derived_cl360, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv4 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl294, zip_derived_cl53])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause4, conjecture,
% 1.70/1.02 (~( ( ssPv4 @ U ) | ( ssPv3 @ U ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.02 ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_5, negated_conjecture,
% 1.70/1.02 (( ssPv4 @ U ) | ( ssPv3 @ U ) | ( ~( ssPv2 @ U ) ) | ( ~( ssPv1 @ V ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause4])).
% 1.70/1.02 thf(zip_derived_cl3, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 ( (ssPv4 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv1 @ X1)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.70/1.02 thf(zip_derived_cl57, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv4 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 1.70/1.02 thf(zip_derived_cl361, plain,
% 1.70/1.02 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv3 @ X0) | ~ (ssPv2 @ X0))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl360, zip_derived_cl57])).
% 1.70/1.02 thf(zip_derived_cl483, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 (~ (ssRr @ X1 @ X0) | ~ (ssPv2 @ X0) | ~ (ssPv1 @ X1) | (ssPv4 @ X0))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl482, zip_derived_cl361])).
% 1.70/1.02 thf(zip_derived_cl484, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv4 @ (skf1 @ X0)) | ~ (ssPv1 @ X0) | ~ (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl483])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause8, conjecture,
% 1.70/1.02 (~( ( ssPv3 @ U ) | ( ssPv2 @ U ) | ( ssPv1 @ W ) | ( ssPv4 @ V ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_6, negated_conjecture,
% 1.70/1.02 (( ssPv3 @ U ) | ( ssPv2 @ U ) | ( ssPv1 @ W ) | ( ssPv4 @ V ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause8])).
% 1.70/1.02 thf(zip_derived_cl7, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | (ssPv1 @ X1)
% 1.70/1.02 | (ssPv4 @ X2)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1)
% 1.70/1.02 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.70/1.02 thf(zip_derived_cl73, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 (~ (ssRr @ X1 @ X0)
% 1.70/1.02 | (ssPv4 @ X0)
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | (ssPv2 @ X1)
% 1.70/1.02 | (ssPv3 @ X1))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl7])).
% 1.70/1.02 thf(zip_derived_cl74, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl73])).
% 1.70/1.02 thf(zip_derived_cl74, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl73])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause42, conjecture,
% 1.70/1.02 (~( ( ssPv2 @ X ) | ( ssPv3 @ W ) | ( ~( ssPv4 @ U ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ X ) ) | ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_7, negated_conjecture,
% 1.70/1.02 (( ssPv2 @ X ) | ( ssPv3 @ W ) | ( ~( ssPv4 @ U ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ X ) ) | ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause42])).
% 1.70/1.02 thf(zip_derived_cl41, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.70/1.02 ( (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X1)
% 1.70/1.02 | ~ (ssPv4 @ X2)
% 1.70/1.02 | ~ (ssRr @ X2 @ X0)
% 1.70/1.02 | ~ (ssRr @ X2 @ X1)
% 1.70/1.02 | ~ (ssPv4 @ X3)
% 1.70/1.02 | ~ (ssRr @ X2 @ X3))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.70/1.02 thf(zip_derived_cl505, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 (~ (ssRr @ X1 @ X2)
% 1.70/1.02 | ~ (ssPv4 @ X2)
% 1.70/1.02 | ~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X1)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ X0))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl41])).
% 1.70/1.02 thf(zip_derived_cl515, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 ( (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X1)
% 1.70/1.02 | ~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X0))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl505])).
% 1.70/1.02 thf(zip_derived_cl516, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv4 @ X0)
% 1.70/1.02 | (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl515])).
% 1.70/1.02 thf(zip_derived_cl517, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv4 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl516])).
% 1.70/1.02 thf(zip_derived_cl108, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl102])).
% 1.70/1.02 thf(zip_derived_cl525, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv4 @ X0)
% 1.70/1.02 | (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl517, zip_derived_cl108])).
% 1.70/1.02 thf(zip_derived_cl108, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl102])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause28, conjecture,
% 1.70/1.02 (~( ( ssPv1 @ U ) | ( ssPv4 @ W ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_8, negated_conjecture,
% 1.70/1.02 (( ssPv1 @ U ) | ( ssPv4 @ W ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause28])).
% 1.70/1.02 thf(zip_derived_cl27, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0)
% 1.70/1.02 | (ssPv4 @ X1)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1)
% 1.70/1.02 | ~ (ssPv3 @ X2)
% 1.70/1.02 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.70/1.02 thf(zip_derived_cl204, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 (~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X1)
% 1.70/1.02 | (ssPv4 @ X0)
% 1.70/1.02 | (ssPv1 @ X1))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl27])).
% 1.70/1.02 thf(zip_derived_cl205, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0)
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl204])).
% 1.70/1.02 thf(zip_derived_cl207, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv1 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl205])).
% 1.70/1.02 thf(zip_derived_cl209, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0)
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl207])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause5, conjecture,
% 1.70/1.02 (~( ( ssPv3 @ U ) | ( ssPv1 @ U ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.02 ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_9, negated_conjecture,
% 1.70/1.02 (( ssPv3 @ U ) | ( ssPv1 @ U ) | ( ~( ssPv2 @ U ) ) | ( ~( ssPv4 @ V ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause5])).
% 1.70/1.02 thf(zip_derived_cl4, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X1)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.70/1.02 thf(zip_derived_cl58, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | (ssPv3 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 1.70/1.02 thf(zip_derived_cl210, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv1 @ X0))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl209, zip_derived_cl58])).
% 1.70/1.02 thf(zip_derived_cl361, plain,
% 1.70/1.02 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv3 @ X0) | ~ (ssPv2 @ X0))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl360, zip_derived_cl57])).
% 1.70/1.02 thf(zip_derived_cl205, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0)
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl204])).
% 1.70/1.02 thf(zip_derived_cl368, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv1 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl361, zip_derived_cl205])).
% 1.70/1.02 thf(zip_derived_cl369, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl368])).
% 1.70/1.02 thf(zip_derived_cl210, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv1 @ X0))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl209, zip_derived_cl58])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause31, conjecture,
% 1.70/1.02 (~( ( ssPv1 @ W ) | ( ~( ssPv4 @ U ) ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_10, negated_conjecture,
% 1.70/1.02 (( ssPv1 @ W ) | ( ~( ssPv4 @ U ) ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause31])).
% 1.70/1.02 thf(zip_derived_cl30, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X1)
% 1.70/1.02 | ~ (ssPv2 @ X1)
% 1.70/1.02 | ~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X2)
% 1.70/1.02 | ~ (ssRr @ X1 @ X2))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.70/1.02 thf(zip_derived_cl63, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 (~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X1)
% 1.70/1.02 | ~ (ssPv4 @ X1)
% 1.70/1.02 | (ssPv1 @ X0))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl30])).
% 1.70/1.02 thf(zip_derived_cl64, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv4 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl63])).
% 1.70/1.02 thf(zip_derived_cl211, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl64])).
% 1.70/1.02 thf(zip_derived_cl214, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv4 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv1 @ X0))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl211])).
% 1.70/1.02 thf(zip_derived_cl210, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv1 @ X0))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl209, zip_derived_cl58])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause9, conjecture,
% 1.70/1.02 (~( ( ssPv4 @ U ) | ( ssPv1 @ W ) | ( ssPv4 @ V ) | ( ~( ssPv1 @ U ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_11, negated_conjecture,
% 1.70/1.02 (( ssPv4 @ U ) | ( ssPv1 @ W ) | ( ssPv4 @ V ) | ( ~( ssPv1 @ U ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause9])).
% 1.70/1.02 thf(zip_derived_cl8, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 ( (ssPv4 @ X0)
% 1.70/1.02 | (ssPv1 @ X1)
% 1.70/1.02 | (ssPv4 @ X2)
% 1.70/1.02 | ~ (ssPv1 @ X0)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1)
% 1.70/1.02 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.70/1.02 thf(zip_derived_cl80, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 (~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv1 @ X1)
% 1.70/1.02 | (ssPv4 @ X0)
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | (ssPv4 @ X1))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl8])).
% 1.70/1.02 thf(zip_derived_cl92, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv4 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv1 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl80])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause17, conjecture,
% 1.70/1.02 (~( ( ssPv4 @ U ) | ( ssPv2 @ W ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_12, negated_conjecture,
% 1.70/1.02 (( ssPv4 @ U ) | ( ssPv2 @ W ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause17])).
% 1.70/1.02 thf(zip_derived_cl16, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 ( (ssPv4 @ X0)
% 1.70/1.02 | (ssPv2 @ X1)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1)
% 1.70/1.02 | ~ (ssPv4 @ X2)
% 1.70/1.02 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.70/1.02 thf(zip_derived_cl126, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 (~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X1)
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | (ssPv4 @ X1))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl16])).
% 1.70/1.02 thf(zip_derived_cl129, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv4 @ X0)
% 1.70/1.02 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl126])).
% 1.70/1.02 thf(zip_derived_cl131, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv1 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv4 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv4 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl129])).
% 1.70/1.02 thf(zip_derived_cl132, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv4 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv1 @ X0))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl131])).
% 1.70/1.02 thf(zip_derived_cl290, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv4 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl284])).
% 1.70/1.02 thf(zip_derived_cl292, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv1 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv4 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv4 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl290])).
% 1.70/1.02 thf(zip_derived_cl295, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv4 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv1 @ X0))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl292])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause6, conjecture,
% 1.70/1.02 (~( ( ssPv3 @ V ) | ( ~( ssPv4 @ U ) ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.02 ( ~( ssPv1 @ U ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_13, negated_conjecture,
% 1.70/1.02 (( ssPv3 @ V ) | ( ~( ssPv4 @ U ) ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.02 ( ~( ssPv1 @ U ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause6])).
% 1.70/1.02 thf(zip_derived_cl5, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X1)
% 1.70/1.02 | ~ (ssPv2 @ X1)
% 1.70/1.02 | ~ (ssPv1 @ X1)
% 1.70/1.02 | ~ (ssRr @ X1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.70/1.02 thf(zip_derived_cl52, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv1 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X0)
% 1.70/1.02 | (ssPv3 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 1.70/1.02 thf(zip_derived_cl299, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv1 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ (skf1 @ X0)))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl295, zip_derived_cl52])).
% 1.70/1.02 thf(zip_derived_cl53, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv4 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.70/1.02 thf(zip_derived_cl300, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv1 @ X0)
% 1.70/1.02 | (ssPv4 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl299, zip_derived_cl53])).
% 1.70/1.02 thf(zip_derived_cl308, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | (ssPv4 @ X0)
% 1.70/1.02 | ~ (ssPv1 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl300])).
% 1.70/1.02 thf(zip_derived_cl57, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv4 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 1.70/1.02 thf(zip_derived_cl312, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv2 @ X0) | ~ (ssPv1 @ X0) | (ssPv4 @ X0) | (ssPv3 @ X0))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl308, zip_derived_cl57])).
% 1.70/1.02 thf(zip_derived_cl205, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0)
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl204])).
% 1.70/1.02 thf(zip_derived_cl320, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv1 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl312, zip_derived_cl205])).
% 1.70/1.02 thf(zip_derived_cl321, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0)))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl320])).
% 1.70/1.02 thf(zip_derived_cl329, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv1 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl321])).
% 1.70/1.02 thf(zip_derived_cl332, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv1 @ X0))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl329])).
% 1.70/1.02 thf(zip_derived_cl58, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | (ssPv3 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 1.70/1.02 thf(zip_derived_cl333, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl332, zip_derived_cl58])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause2, conjecture,
% 1.70/1.02 (~( ( ssPv3 @ U ) | ( ssPv2 @ U ) | ( ssPv1 @ U ) | ( ~( ssPv1 @ V ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_14, negated_conjecture,
% 1.70/1.02 (( ssPv3 @ U ) | ( ssPv2 @ U ) | ( ssPv1 @ U ) | ( ~( ssPv1 @ V ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause2])).
% 1.70/1.02 thf(zip_derived_cl1, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | ~ (ssPv1 @ X1)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.70/1.02 thf(zip_derived_cl56, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.70/1.02 thf(zip_derived_cl334, plain,
% 1.70/1.02 (![X0 : $i]: (~ (ssPv1 @ (skf1 @ X0)) | (ssPv3 @ X0) | (ssPv1 @ X0))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl333, zip_derived_cl56])).
% 1.70/1.02 thf(zip_derived_cl335, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X0)
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | (ssPv3 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl334])).
% 1.70/1.02 thf(zip_derived_cl336, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv4 @ X0) | ~ (ssPv2 @ X0) | (ssPv3 @ X0) | (ssPv1 @ X0))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl335])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause27, conjecture,
% 1.70/1.02 (~( ( ssPv1 @ U ) | ( ssPv4 @ W ) | ( ~( ssPv3 @ U ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_15, negated_conjecture,
% 1.70/1.02 (( ssPv1 @ U ) | ( ssPv4 @ W ) | ( ~( ssPv3 @ U ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause27])).
% 1.70/1.02 thf(zip_derived_cl26, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0)
% 1.70/1.02 | (ssPv4 @ X1)
% 1.70/1.02 | ~ (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1)
% 1.70/1.02 | ~ (ssPv3 @ X2)
% 1.70/1.02 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.70/1.02 thf(clause36, conjecture,
% 1.70/1.02 (~( ( ssPv1 @ U ) | ( ~( ssPv3 @ U ) ) | ( ~( ssPv3 @ W ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_16, negated_conjecture,
% 1.70/1.02 (( ssPv1 @ U ) | ( ~( ssPv3 @ U ) ) | ( ~( ssPv3 @ W ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause36])).
% 1.70/1.02 thf(zip_derived_cl35, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ X1)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1)
% 1.70/1.02 | ~ (ssPv4 @ X2)
% 1.70/1.02 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.70/1.02 thf(zip_derived_cl198, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 (~ (ssRr @ X0 @ X2)
% 1.70/1.02 | ~ (ssPv3 @ X2)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1)
% 1.70/1.02 | ~ (ssPv3 @ X0)
% 1.70/1.02 | (ssPv1 @ X0))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl26, zip_derived_cl35])).
% 1.70/1.02 thf(zip_derived_cl199, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0) | ~ (ssPv3 @ X1) | ~ (ssRr @ X0 @ X1) | ~ (ssPv3 @ X0))),
% 1.70/1.02 inference('condensation', [status(thm)], [zip_derived_cl198])).
% 1.70/1.02 thf(zip_derived_cl200, plain,
% 1.70/1.02 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | (ssPv1 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl199])).
% 1.70/1.02 thf(zip_derived_cl343, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl336, zip_derived_cl200])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause51, conjecture,
% 1.70/1.02 (~( ( ~( ssPv3 @ U ) ) | ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ U @ X ) ) |
% 1.70/1.02 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_17, negated_conjecture,
% 1.70/1.02 (( ~( ssPv3 @ U ) ) | ( ~( ssPv1 @ X ) ) | ( ~( ssRr @ U @ X ) ) |
% 1.70/1.02 ( ~( ssPv2 @ W ) ) | ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause51])).
% 1.70/1.02 thf(zip_derived_cl50, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.70/1.02 (~ (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv1 @ X1)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1)
% 1.70/1.02 | ~ (ssPv2 @ X2)
% 1.70/1.02 | ~ (ssRr @ X0 @ X2)
% 1.70/1.02 | ~ (ssPv4 @ X3)
% 1.70/1.02 | ~ (ssRr @ X0 @ X3))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.70/1.02 thf(zip_derived_cl270, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 (~ (ssRr @ X1 @ X2)
% 1.70/1.02 | ~ (ssPv4 @ X2)
% 1.70/1.02 | ~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv1 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ X1))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl50])).
% 1.70/1.02 thf(zip_derived_cl273, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 (~ (ssPv3 @ X1)
% 1.70/1.02 | ~ (ssPv1 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X0))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl270])).
% 1.70/1.02 thf(zip_derived_cl276, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv3 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl273])).
% 1.70/1.02 thf(zip_derived_cl346, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv3 @ X0)
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl343, zip_derived_cl276])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause29, conjecture,
% 1.70/1.02 (~( ( ssPv3 @ U ) | ( ssPv1 @ U ) | ( ~( ssPv2 @ W ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_18, negated_conjecture,
% 1.70/1.02 (( ssPv3 @ U ) | ( ssPv1 @ U ) | ( ~( ssPv2 @ W ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause29])).
% 1.70/1.02 thf(zip_derived_cl28, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X1)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1)
% 1.70/1.02 | ~ (ssPv4 @ X2)
% 1.70/1.02 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.70/1.02 thf(zip_derived_cl246, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 (~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv1 @ X1)
% 1.70/1.02 | (ssPv3 @ X1))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl28])).
% 1.70/1.02 thf(zip_derived_cl247, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv4 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl246])).
% 1.70/1.02 thf(zip_derived_cl347, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv2 @ (skf1 @ X0)) | ~ (ssPv4 @ (skf1 @ X0)) | (ssPv1 @ X0))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl346, zip_derived_cl247])).
% 1.70/1.02 thf(zip_derived_cl377, plain,
% 1.70/1.02 (![X0 : $i]: (~ (ssPv2 @ (skf1 @ X0)) | ~ (ssPv2 @ X0) | (ssPv1 @ X0))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl369, zip_derived_cl347])).
% 1.70/1.02 thf(zip_derived_cl379, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0)
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | ~ (ssPv2 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl377])).
% 1.70/1.02 thf(zip_derived_cl381, plain,
% 1.70/1.02 (![X0 : $i]: (~ (ssPv2 @ X0) | (ssPv3 @ X0) | (ssPv1 @ X0))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl379])).
% 1.70/1.02 thf(zip_derived_cl526, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv4 @ X0))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl525, zip_derived_cl381])).
% 1.70/1.02 thf(zip_derived_cl74, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv4 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl73])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause33, conjecture,
% 1.70/1.02 (~( ( ssPv3 @ U ) | ( ~( ssPv4 @ U ) ) | ( ~( ssPv3 @ W ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_19, negated_conjecture,
% 1.70/1.02 (( ssPv3 @ U ) | ( ~( ssPv4 @ U ) ) | ( ~( ssPv3 @ W ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause33])).
% 1.70/1.02 thf(zip_derived_cl32, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ X1)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1)
% 1.70/1.02 | ~ (ssPv4 @ X2)
% 1.70/1.02 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_19])).
% 1.70/1.02 thf(zip_derived_cl70, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 (~ (ssRr @ X1 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X1)
% 1.70/1.02 | (ssPv3 @ X1))),
% 1.70/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl32])).
% 1.70/1.02 thf(zip_derived_cl71, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv4 @ (skf1 @ X0)))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl70])).
% 1.70/1.02 thf(zip_derived_cl76, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | ~ (ssPv4 @ X0)
% 1.70/1.02 | (ssPv3 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.70/1.02 thf(zip_derived_cl78, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv4 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl76])).
% 1.70/1.02 thf(zip_derived_cl528, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv4 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl526, zip_derived_cl78])).
% 1.70/1.02 thf(zip_derived_cl537, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv2 @ X0)
% 1.70/1.02 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | ~ (ssPv4 @ X0))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl528])).
% 1.70/1.02 thf(zip_derived_cl334, plain,
% 1.70/1.02 (![X0 : $i]: (~ (ssPv1 @ (skf1 @ X0)) | (ssPv3 @ X0) | (ssPv1 @ X0))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl333, zip_derived_cl56])).
% 1.70/1.02 thf(zip_derived_cl548, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 (~ (ssPv4 @ X0)
% 1.70/1.02 | (ssPv3 @ X0)
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | (ssPv1 @ X0)
% 1.70/1.02 | (ssPv3 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl537, zip_derived_cl334])).
% 1.70/1.02 thf(zip_derived_cl557, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ X0) | (ssPv2 @ X0) | (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl548])).
% 1.70/1.02 thf(zip_derived_cl381, plain,
% 1.70/1.02 (![X0 : $i]: (~ (ssPv2 @ X0) | (ssPv3 @ X0) | (ssPv1 @ X0))),
% 1.70/1.02 inference('simplify', [status(thm)], [zip_derived_cl379])).
% 1.70/1.02 thf(zip_derived_cl558, plain,
% 1.70/1.02 (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv3 @ X0) | (ssPv1 @ X0))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl557, zip_derived_cl381])).
% 1.70/1.02 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.02 thf(clause24, conjecture,
% 1.70/1.02 (~( ( ssPv4 @ U ) | ( ssPv2 @ U ) | ( ~( ssPv3 @ W ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_20, negated_conjecture,
% 1.70/1.02 (( ssPv4 @ U ) | ( ssPv2 @ U ) | ( ~( ssPv3 @ W ) ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv4 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause24])).
% 1.70/1.02 thf(zip_derived_cl23, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 ( (ssPv4 @ X0)
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | ~ (ssPv3 @ X1)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1)
% 1.70/1.02 | ~ (ssPv4 @ X2)
% 1.70/1.02 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_20])).
% 1.70/1.02 thf(clause12, conjecture,
% 1.70/1.02 (~( ( ssPv4 @ U ) | ( ssPv2 @ U ) | ( ssPv4 @ W ) |
% 1.70/1.02 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.02 thf(zf_stmt_21, negated_conjecture,
% 1.70/1.02 (( ssPv4 @ U ) | ( ssPv2 @ U ) | ( ssPv4 @ W ) | ( ~( ssRr @ U @ W ) ) |
% 1.70/1.02 ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.02 inference('cnf.neg', [status(esa)], [clause12])).
% 1.70/1.02 thf(zip_derived_cl11, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 ( (ssPv4 @ X0)
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | (ssPv4 @ X1)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1)
% 1.70/1.02 | ~ (ssPv3 @ X2)
% 1.70/1.02 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.02 inference('cnf', [status(esa)], [zf_stmt_21])).
% 1.70/1.02 thf(zip_derived_cl187, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.02 (~ (ssRr @ X0 @ X2)
% 1.70/1.02 | ~ (ssRr @ X0 @ X1)
% 1.70/1.02 | ~ (ssPv3 @ X1)
% 1.70/1.02 | (ssPv2 @ X0)
% 1.70/1.02 | (ssPv4 @ X0))),
% 1.70/1.02 inference('clc', [status(thm)], [zip_derived_cl23, zip_derived_cl11])).
% 1.70/1.02 thf(zip_derived_cl188, plain,
% 1.70/1.02 (![X0 : $i, X1 : $i]:
% 1.70/1.02 ( (ssPv4 @ X0) | ~ (ssRr @ X0 @ X1) | ~ (ssPv3 @ X1) | (ssPv2 @ X0))),
% 1.70/1.02 inference('condensation', [status(thm)], [zip_derived_cl187])).
% 1.70/1.02 thf(zip_derived_cl189, plain,
% 1.70/1.02 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 1.70/1.02 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl188])).
% 1.70/1.02 thf(zip_derived_cl562, plain,
% 1.70/1.02 (![X0 : $i]:
% 1.70/1.02 ( (ssPv1 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv4 @ (skf1 @ X0))
% 1.70/1.03 | (ssPv4 @ X0)
% 1.70/1.03 | (ssPv2 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl558, zip_derived_cl189])).
% 1.70/1.03 thf(zip_derived_cl584, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv1 @ (skf1 @ X0))
% 1.70/1.03 | (ssPv2 @ X0)
% 1.70/1.03 | (ssPv3 @ X0)
% 1.70/1.03 | (ssPv2 @ X0)
% 1.70/1.03 | (ssPv4 @ X0)
% 1.70/1.03 | (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl562])).
% 1.70/1.03 thf(zip_derived_cl586, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv4 @ X0)
% 1.70/1.03 | (ssPv3 @ X0)
% 1.70/1.03 | (ssPv2 @ X0)
% 1.70/1.03 | (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.03 inference('simplify', [status(thm)], [zip_derived_cl584])).
% 1.70/1.03 thf(zip_derived_cl537, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv2 @ X0)
% 1.70/1.03 | (ssPv1 @ (skf1 @ X0))
% 1.70/1.03 | (ssPv3 @ X0)
% 1.70/1.03 | ~ (ssPv4 @ X0))),
% 1.70/1.03 inference('simplify', [status(thm)], [zip_derived_cl528])).
% 1.70/1.03 thf(zip_derived_cl601, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv1 @ (skf1 @ X0)) | (ssPv2 @ X0) | (ssPv3 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl586, zip_derived_cl537])).
% 1.70/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.03 thf(clause11, conjecture,
% 1.70/1.03 (~( ( ssPv4 @ U ) | ( ssPv3 @ U ) | ( ssPv3 @ W ) |
% 1.70/1.03 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.03 thf(zf_stmt_22, negated_conjecture,
% 1.70/1.03 (( ssPv4 @ U ) | ( ssPv3 @ U ) | ( ssPv3 @ W ) | ( ~( ssRr @ U @ W ) ) |
% 1.70/1.03 ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.03 inference('cnf.neg', [status(esa)], [clause11])).
% 1.70/1.03 thf(zip_derived_cl10, plain,
% 1.70/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.03 ( (ssPv4 @ X0)
% 1.70/1.03 | (ssPv3 @ X0)
% 1.70/1.03 | (ssPv3 @ X1)
% 1.70/1.03 | ~ (ssRr @ X0 @ X1)
% 1.70/1.03 | ~ (ssPv1 @ X2)
% 1.70/1.03 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.03 inference('cnf', [status(esa)], [zf_stmt_22])).
% 1.70/1.03 thf(zip_derived_cl136, plain,
% 1.70/1.03 (![X0 : $i, X1 : $i]:
% 1.70/1.03 (~ (ssRr @ X1 @ X0)
% 1.70/1.03 | ~ (ssPv1 @ X0)
% 1.70/1.03 | (ssPv3 @ X0)
% 1.70/1.03 | (ssPv3 @ X1)
% 1.70/1.03 | (ssPv4 @ X1))),
% 1.70/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl10])).
% 1.70/1.03 thf(zip_derived_cl138, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv4 @ X0)
% 1.70/1.03 | (ssPv3 @ X0)
% 1.70/1.03 | (ssPv3 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl136])).
% 1.70/1.03 thf(zip_derived_cl605, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv3 @ X0)
% 1.70/1.03 | (ssPv2 @ X0)
% 1.70/1.03 | (ssPv3 @ (skf1 @ X0))
% 1.70/1.03 | (ssPv3 @ X0)
% 1.70/1.03 | (ssPv4 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl601, zip_derived_cl138])).
% 1.70/1.03 thf(zip_derived_cl613, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv4 @ X0)
% 1.70/1.03 | (ssPv3 @ (skf1 @ X0))
% 1.70/1.03 | (ssPv2 @ X0)
% 1.70/1.03 | (ssPv3 @ X0))),
% 1.70/1.03 inference('simplify', [status(thm)], [zip_derived_cl605])).
% 1.70/1.03 thf(zip_derived_cl189, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl188])).
% 1.70/1.03 thf(zip_derived_cl678, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ X0) | (ssPv4 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl613, zip_derived_cl189])).
% 1.70/1.03 thf(zip_derived_cl361, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv3 @ X0) | ~ (ssPv2 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl360, zip_derived_cl57])).
% 1.70/1.03 thf(zip_derived_cl679, plain, (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv3 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl678, zip_derived_cl361])).
% 1.70/1.03 thf(zip_derived_cl200, plain,
% 1.70/1.03 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | (ssPv1 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl199])).
% 1.70/1.03 thf(zip_derived_cl683, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv4 @ (skf1 @ X0)) | (ssPv1 @ X0) | ~ (ssPv3 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl679, zip_derived_cl200])).
% 1.70/1.03 thf(zip_derived_cl601, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv1 @ (skf1 @ X0)) | (ssPv2 @ X0) | (ssPv3 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl586, zip_derived_cl537])).
% 1.70/1.03 thf(zip_derived_cl334, plain,
% 1.70/1.03 (![X0 : $i]: (~ (ssPv1 @ (skf1 @ X0)) | (ssPv3 @ X0) | (ssPv1 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl333, zip_derived_cl56])).
% 1.70/1.03 thf(zip_derived_cl610, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv3 @ X0) | (ssPv2 @ X0) | (ssPv1 @ X0) | (ssPv3 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl601, zip_derived_cl334])).
% 1.70/1.03 thf(zip_derived_cl616, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv2 @ X0) | (ssPv3 @ X0))),
% 1.70/1.03 inference('simplify', [status(thm)], [zip_derived_cl610])).
% 1.70/1.03 thf(zip_derived_cl381, plain,
% 1.70/1.03 (![X0 : $i]: (~ (ssPv2 @ X0) | (ssPv3 @ X0) | (ssPv1 @ X0))),
% 1.70/1.03 inference('simplify', [status(thm)], [zip_derived_cl379])).
% 1.70/1.03 thf(zip_derived_cl617, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv1 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl616, zip_derived_cl381])).
% 1.70/1.03 thf(zip_derived_cl737, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv4 @ (skf1 @ X0)))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl683, zip_derived_cl617])).
% 1.70/1.03 thf(zip_derived_cl129, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv4 @ X0)
% 1.70/1.03 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv2 @ X0)
% 1.70/1.03 | ~ (ssPv4 @ (skf1 @ X0)))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl126])).
% 1.70/1.03 thf(zip_derived_cl739, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv1 @ X0)
% 1.70/1.03 | ~ (ssPv2 @ X0)
% 1.70/1.03 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.03 | (ssPv4 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl737, zip_derived_cl129])).
% 1.70/1.03 thf(zip_derived_cl617, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv1 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl616, zip_derived_cl381])).
% 1.70/1.03 thf(zip_derived_cl200, plain,
% 1.70/1.03 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | (ssPv1 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl199])).
% 1.70/1.03 thf(zip_derived_cl621, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv1 @ (skf1 @ X0)) | (ssPv1 @ X0) | ~ (ssPv3 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl617, zip_derived_cl200])).
% 1.70/1.03 thf(zip_derived_cl617, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv1 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl616, zip_derived_cl381])).
% 1.70/1.03 thf(zip_derived_cl625, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl621, zip_derived_cl617])).
% 1.70/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.03 thf(clause16, conjecture,
% 1.70/1.03 (~( ( ssPv2 @ U ) | ( ssPv1 @ U ) | ( ssPv3 @ W ) |
% 1.70/1.03 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.03 thf(zf_stmt_23, negated_conjecture,
% 1.70/1.03 (( ssPv2 @ U ) | ( ssPv1 @ U ) | ( ssPv3 @ W ) | ( ~( ssRr @ U @ W ) ) |
% 1.70/1.03 ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.03 inference('cnf.neg', [status(esa)], [clause16])).
% 1.70/1.03 thf(zip_derived_cl15, plain,
% 1.70/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.03 ( (ssPv2 @ X0)
% 1.70/1.03 | (ssPv1 @ X0)
% 1.70/1.03 | (ssPv3 @ X1)
% 1.70/1.03 | ~ (ssRr @ X0 @ X1)
% 1.70/1.03 | ~ (ssPv1 @ X2)
% 1.70/1.03 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.03 inference('cnf', [status(esa)], [zf_stmt_23])).
% 1.70/1.03 thf(zip_derived_cl261, plain,
% 1.70/1.03 (![X0 : $i, X1 : $i]:
% 1.70/1.03 (~ (ssRr @ X1 @ X0)
% 1.70/1.03 | ~ (ssPv1 @ X0)
% 1.70/1.03 | (ssPv3 @ X0)
% 1.70/1.03 | (ssPv1 @ X1)
% 1.70/1.03 | (ssPv2 @ X1))),
% 1.70/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl15])).
% 1.70/1.03 thf(zip_derived_cl265, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv2 @ X0)
% 1.70/1.03 | (ssPv1 @ X0)
% 1.70/1.03 | (ssPv3 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl261])).
% 1.70/1.03 thf(zip_derived_cl631, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv1 @ X0)
% 1.70/1.03 | (ssPv3 @ (skf1 @ X0))
% 1.70/1.03 | (ssPv1 @ X0)
% 1.70/1.03 | (ssPv2 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl625, zip_derived_cl265])).
% 1.70/1.03 thf(zip_derived_cl634, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ (skf1 @ X0)) | (ssPv1 @ X0))),
% 1.70/1.03 inference('simplify', [status(thm)], [zip_derived_cl631])).
% 1.70/1.03 thf(zip_derived_cl200, plain,
% 1.70/1.03 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | (ssPv1 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl199])).
% 1.70/1.03 thf(zip_derived_cl650, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv1 @ X0) | (ssPv2 @ X0) | (ssPv1 @ X0) | ~ (ssPv3 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl200])).
% 1.70/1.03 thf(zip_derived_cl657, plain,
% 1.70/1.03 (![X0 : $i]: (~ (ssPv3 @ X0) | (ssPv2 @ X0) | (ssPv1 @ X0))),
% 1.70/1.03 inference('simplify', [status(thm)], [zip_derived_cl650])).
% 1.70/1.03 thf(zip_derived_cl617, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv1 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl616, zip_derived_cl381])).
% 1.70/1.03 thf(zip_derived_cl692, plain, (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv2 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl657, zip_derived_cl617])).
% 1.70/1.03 thf(zip_derived_cl831, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv2 @ (skf1 @ X0)) | (ssPv1 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl739, zip_derived_cl692])).
% 1.70/1.03 thf(zip_derived_cl625, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl621, zip_derived_cl617])).
% 1.70/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.03 thf(clause7, conjecture,
% 1.70/1.03 (~( ( ~( ssPv4 @ U ) ) | ( ~( ssPv3 @ U ) ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.03 ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.03 thf(zf_stmt_24, negated_conjecture,
% 1.70/1.03 (( ~( ssPv4 @ U ) ) | ( ~( ssPv3 @ U ) ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.03 ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.03 inference('cnf.neg', [status(esa)], [clause7])).
% 1.70/1.03 thf(zip_derived_cl6, plain,
% 1.70/1.03 (![X0 : $i, X1 : $i]:
% 1.70/1.03 (~ (ssPv4 @ X0)
% 1.70/1.03 | ~ (ssPv3 @ X0)
% 1.70/1.03 | ~ (ssPv2 @ X0)
% 1.70/1.03 | ~ (ssPv1 @ X1)
% 1.70/1.03 | ~ (ssRr @ X0 @ X1))),
% 1.70/1.03 inference('cnf', [status(esa)], [zf_stmt_24])).
% 1.70/1.03 thf(zip_derived_cl51, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 (~ (ssPv1 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv2 @ X0)
% 1.70/1.03 | ~ (ssPv3 @ X0)
% 1.70/1.03 | ~ (ssPv4 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 1.70/1.03 thf(zip_derived_cl626, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv1 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv3 @ X0) | ~ (ssPv2 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl625, zip_derived_cl51])).
% 1.70/1.03 thf(zip_derived_cl617, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv1 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl616, zip_derived_cl381])).
% 1.70/1.03 thf(zip_derived_cl708, plain,
% 1.70/1.03 (![X0 : $i]: (~ (ssPv2 @ X0) | ~ (ssPv4 @ X0) | (ssPv1 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl626, zip_derived_cl617])).
% 1.70/1.03 thf(zip_derived_cl692, plain, (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv2 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl657, zip_derived_cl617])).
% 1.70/1.03 thf(zip_derived_cl709, plain, (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv4 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl708, zip_derived_cl692])).
% 1.70/1.03 thf(zip_derived_cl832, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl831, zip_derived_cl709])).
% 1.70/1.03 thf(zip_derived_cl737, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv4 @ (skf1 @ X0)))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl683, zip_derived_cl617])).
% 1.70/1.03 thf(zip_derived_cl276, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 (~ (ssPv4 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv2 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv1 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv3 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl273])).
% 1.70/1.03 thf(zip_derived_cl741, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv1 @ X0)
% 1.70/1.03 | ~ (ssPv3 @ X0)
% 1.70/1.03 | ~ (ssPv1 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl737, zip_derived_cl276])).
% 1.70/1.03 thf(zip_derived_cl617, plain, (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv1 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl616, zip_derived_cl381])).
% 1.70/1.03 thf(zip_derived_cl772, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 (~ (ssPv2 @ (skf1 @ X0)) | ~ (ssPv1 @ (skf1 @ X0)) | (ssPv1 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl741, zip_derived_cl617])).
% 1.70/1.03 thf(zip_derived_cl625, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl621, zip_derived_cl617])).
% 1.70/1.03 thf(zip_derived_cl773, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl772, zip_derived_cl625])).
% 1.70/1.03 thf(zip_derived_cl833, plain, (![X0 : $i]: (ssPv1 @ X0)),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl832, zip_derived_cl773])).
% 1.70/1.03 thf(zip_derived_cl854, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv4 @ (skf1 @ X0)) | ~ (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.03 inference('demod', [status(thm)], [zip_derived_cl484, zip_derived_cl833])).
% 1.70/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.03 thf(clause19, conjecture,
% 1.70/1.03 (~( ( ssPv3 @ U ) | ( ssPv2 @ W ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.03 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.03 thf(zf_stmt_25, negated_conjecture,
% 1.70/1.03 (( ssPv3 @ U ) | ( ssPv2 @ W ) | ( ~( ssPv2 @ U ) ) |
% 1.70/1.03 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv1 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.03 inference('cnf.neg', [status(esa)], [clause19])).
% 1.70/1.03 thf(zip_derived_cl18, plain,
% 1.70/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.03 ( (ssPv3 @ X0)
% 1.70/1.03 | (ssPv2 @ X1)
% 1.70/1.03 | ~ (ssPv2 @ X0)
% 1.70/1.03 | ~ (ssRr @ X0 @ X1)
% 1.70/1.03 | ~ (ssPv1 @ X2)
% 1.70/1.03 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.03 inference('cnf', [status(esa)], [zf_stmt_25])).
% 1.70/1.03 thf(zip_derived_cl144, plain,
% 1.70/1.03 (![X0 : $i, X1 : $i]:
% 1.70/1.03 (~ (ssRr @ X1 @ X0)
% 1.70/1.03 | ~ (ssPv1 @ X0)
% 1.70/1.03 | ~ (ssPv2 @ X1)
% 1.70/1.03 | (ssPv2 @ X0)
% 1.70/1.03 | (ssPv3 @ X1))),
% 1.70/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl18])).
% 1.70/1.03 thf(zip_derived_cl145, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv3 @ X0)
% 1.70/1.03 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv2 @ X0)
% 1.70/1.03 | ~ (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl144])).
% 1.70/1.03 thf(zip_derived_cl634, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv2 @ X0) | (ssPv3 @ (skf1 @ X0)) | (ssPv1 @ X0))),
% 1.70/1.03 inference('simplify', [status(thm)], [zip_derived_cl631])).
% 1.70/1.03 thf(zip_derived_cl189, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv3 @ (skf1 @ X0)) | (ssPv4 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl188])).
% 1.70/1.03 thf(zip_derived_cl649, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv1 @ X0) | (ssPv2 @ X0) | (ssPv4 @ X0) | (ssPv2 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl189])).
% 1.70/1.03 thf(zip_derived_cl656, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv2 @ X0) | (ssPv1 @ X0))),
% 1.70/1.03 inference('simplify', [status(thm)], [zip_derived_cl649])).
% 1.70/1.03 thf(zip_derived_cl484, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv4 @ (skf1 @ X0)) | ~ (ssPv1 @ X0) | ~ (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl483])).
% 1.70/1.03 thf(zip_derived_cl669, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv1 @ (skf1 @ X0))
% 1.70/1.03 | (ssPv4 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv1 @ X0)
% 1.70/1.03 | (ssPv4 @ (skf1 @ X0)))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl656, zip_derived_cl484])).
% 1.70/1.03 thf(zip_derived_cl677, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 (~ (ssPv1 @ X0) | (ssPv4 @ (skf1 @ X0)) | (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.03 inference('simplify', [status(thm)], [zip_derived_cl669])).
% 1.70/1.03 thf(zip_derived_cl625, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl621, zip_derived_cl617])).
% 1.70/1.03 thf(zip_derived_cl786, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv1 @ (skf1 @ X0)) | (ssPv4 @ (skf1 @ X0)))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl677, zip_derived_cl625])).
% 1.70/1.03 thf(zip_derived_cl709, plain, (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv4 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl708, zip_derived_cl692])).
% 1.70/1.03 thf(zip_derived_cl787, plain, (![X0 : $i]: (ssPv1 @ (skf1 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl786, zip_derived_cl709])).
% 1.70/1.03 thf(zip_derived_cl790, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv3 @ X0) | (ssPv2 @ (skf1 @ X0)) | ~ (ssPv2 @ X0))),
% 1.70/1.03 inference('demod', [status(thm)], [zip_derived_cl145, zip_derived_cl787])).
% 1.70/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.03 thf(clause35, conjecture,
% 1.70/1.03 (~( ( ssPv2 @ U ) | ( ~( ssPv4 @ U ) ) | ( ~( ssPv1 @ W ) ) |
% 1.70/1.03 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.03 thf(zf_stmt_26, negated_conjecture,
% 1.70/1.03 (( ssPv2 @ U ) | ( ~( ssPv4 @ U ) ) | ( ~( ssPv1 @ W ) ) |
% 1.70/1.03 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv2 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.03 inference('cnf.neg', [status(esa)], [clause35])).
% 1.70/1.03 thf(zip_derived_cl34, plain,
% 1.70/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.03 ( (ssPv2 @ X0)
% 1.70/1.03 | ~ (ssPv4 @ X0)
% 1.70/1.03 | ~ (ssPv1 @ X1)
% 1.70/1.03 | ~ (ssRr @ X0 @ X1)
% 1.70/1.03 | ~ (ssPv2 @ X2)
% 1.70/1.03 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.03 inference('cnf', [status(esa)], [zf_stmt_26])).
% 1.70/1.03 thf(zip_derived_cl98, plain,
% 1.70/1.03 (![X0 : $i, X1 : $i]:
% 1.70/1.03 (~ (ssRr @ X1 @ X0)
% 1.70/1.03 | ~ (ssPv2 @ X0)
% 1.70/1.03 | ~ (ssPv1 @ X0)
% 1.70/1.03 | ~ (ssPv4 @ X1)
% 1.70/1.03 | (ssPv2 @ X1))),
% 1.70/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl34])).
% 1.70/1.03 thf(zip_derived_cl100, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv2 @ X0)
% 1.70/1.03 | ~ (ssPv4 @ X0)
% 1.70/1.03 | ~ (ssPv1 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl98])).
% 1.70/1.03 thf(zip_derived_cl787, plain, (![X0 : $i]: (ssPv1 @ (skf1 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl786, zip_derived_cl709])).
% 1.70/1.03 thf(zip_derived_cl789, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.03 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl787])).
% 1.70/1.03 thf(zip_derived_cl692, plain, (![X0 : $i]: ( (ssPv1 @ X0) | (ssPv2 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl657, zip_derived_cl617])).
% 1.70/1.03 thf(zip_derived_cl64, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv1 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv4 @ X0)
% 1.70/1.03 | ~ (ssPv2 @ X0)
% 1.70/1.03 | ~ (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl63])).
% 1.70/1.03 thf(zip_derived_cl693, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv1 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv2 @ X0)
% 1.70/1.03 | ~ (ssPv4 @ X0)
% 1.70/1.03 | (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl692, zip_derived_cl64])).
% 1.70/1.03 thf(zip_derived_cl704, plain,
% 1.70/1.03 (![X0 : $i]: (~ (ssPv4 @ X0) | ~ (ssPv2 @ X0) | (ssPv1 @ (skf1 @ X0)))),
% 1.70/1.03 inference('simplify', [status(thm)], [zip_derived_cl693])).
% 1.70/1.03 thf(zip_derived_cl51, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 (~ (ssPv1 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv2 @ X0)
% 1.70/1.03 | ~ (ssPv3 @ X0)
% 1.70/1.03 | ~ (ssPv4 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 1.70/1.03 thf(zip_derived_cl714, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 (~ (ssPv2 @ X0)
% 1.70/1.03 | ~ (ssPv4 @ X0)
% 1.70/1.03 | ~ (ssPv4 @ X0)
% 1.70/1.03 | ~ (ssPv3 @ X0)
% 1.70/1.03 | ~ (ssPv2 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl704, zip_derived_cl51])).
% 1.70/1.03 thf(zip_derived_cl720, plain,
% 1.70/1.03 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 1.70/1.03 inference('simplify', [status(thm)], [zip_derived_cl714])).
% 1.70/1.03 thf(zip_derived_cl52, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 (~ (ssPv1 @ X0)
% 1.70/1.03 | ~ (ssPv2 @ X0)
% 1.70/1.03 | ~ (ssPv4 @ X0)
% 1.70/1.03 | (ssPv3 @ (skf1 @ X0)))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 1.70/1.03 thf(zip_derived_cl726, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 (~ (ssPv2 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv4 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv4 @ X0)
% 1.70/1.03 | ~ (ssPv2 @ X0)
% 1.70/1.03 | ~ (ssPv1 @ X0))),
% 1.70/1.03 inference('sup+', [status(thm)], [zip_derived_cl720, zip_derived_cl52])).
% 1.70/1.03 thf(zip_derived_cl484, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv4 @ (skf1 @ X0)) | ~ (ssPv1 @ X0) | ~ (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl483])).
% 1.70/1.03 thf(zip_derived_cl734, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 (~ (ssPv1 @ X0)
% 1.70/1.03 | ~ (ssPv2 @ X0)
% 1.70/1.03 | ~ (ssPv4 @ X0)
% 1.70/1.03 | ~ (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl726, zip_derived_cl484])).
% 1.70/1.03 thf(zip_derived_cl709, plain, (![X0 : $i]: ( (ssPv1 @ X0) | ~ (ssPv4 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl708, zip_derived_cl692])).
% 1.70/1.03 thf(zip_derived_cl735, plain,
% 1.70/1.03 (![X0 : $i]: (~ (ssPv2 @ (skf1 @ X0)) | ~ (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl734, zip_derived_cl709])).
% 1.70/1.03 thf(zip_derived_cl796, plain,
% 1.70/1.03 (![X0 : $i]: (~ (ssPv2 @ (skf1 @ X0)) | ~ (ssPv4 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl789, zip_derived_cl735])).
% 1.70/1.03 thf(zip_derived_cl815, plain,
% 1.70/1.03 (![X0 : $i]: (~ (ssPv2 @ X0) | (ssPv3 @ X0) | ~ (ssPv4 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl790, zip_derived_cl796])).
% 1.70/1.03 thf(zip_derived_cl720, plain,
% 1.70/1.03 (![X0 : $i]: (~ (ssPv3 @ X0) | ~ (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 1.70/1.03 inference('simplify', [status(thm)], [zip_derived_cl714])).
% 1.70/1.03 thf(zip_derived_cl817, plain,
% 1.70/1.03 (![X0 : $i]: (~ (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl815, zip_derived_cl720])).
% 1.70/1.03 thf(zip_derived_cl860, plain, (![X0 : $i]: ~ (ssPv2 @ (skf1 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl854, zip_derived_cl817])).
% 1.70/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (ssRr @ X0 @ (skf1 @ X0))),
% 1.70/1.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.70/1.03 thf(clause22, conjecture,
% 1.70/1.03 (~( ( ssPv2 @ U ) | ( ssPv2 @ W ) | ( ~( ssPv1 @ U ) ) |
% 1.70/1.03 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) ) ))).
% 1.70/1.03 thf(zf_stmt_27, negated_conjecture,
% 1.70/1.03 (( ssPv2 @ U ) | ( ssPv2 @ W ) | ( ~( ssPv1 @ U ) ) |
% 1.70/1.03 ( ~( ssRr @ U @ W ) ) | ( ~( ssPv3 @ V ) ) | ( ~( ssRr @ U @ V ) )),
% 1.70/1.03 inference('cnf.neg', [status(esa)], [clause22])).
% 1.70/1.03 thf(zip_derived_cl21, plain,
% 1.70/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.70/1.03 ( (ssPv2 @ X0)
% 1.70/1.03 | (ssPv2 @ X1)
% 1.70/1.03 | ~ (ssPv1 @ X0)
% 1.70/1.03 | ~ (ssRr @ X0 @ X1)
% 1.70/1.03 | ~ (ssPv3 @ X2)
% 1.70/1.03 | ~ (ssRr @ X0 @ X2))),
% 1.70/1.03 inference('cnf', [status(esa)], [zf_stmt_27])).
% 1.70/1.03 thf(zip_derived_cl172, plain,
% 1.70/1.03 (![X0 : $i, X1 : $i]:
% 1.70/1.03 (~ (ssRr @ X1 @ X0)
% 1.70/1.03 | ~ (ssPv3 @ X0)
% 1.70/1.03 | ~ (ssPv1 @ X1)
% 1.70/1.03 | (ssPv2 @ X0)
% 1.70/1.03 | (ssPv2 @ X1))),
% 1.70/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl21])).
% 1.70/1.03 thf(zip_derived_cl173, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv2 @ X0)
% 1.70/1.03 | (ssPv2 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv1 @ X0)
% 1.70/1.03 | ~ (ssPv3 @ (skf1 @ X0)))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl172])).
% 1.70/1.03 thf(zip_derived_cl833, plain, (![X0 : $i]: (ssPv1 @ X0)),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl832, zip_derived_cl773])).
% 1.70/1.03 thf(zip_derived_cl847, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 ( (ssPv2 @ X0) | (ssPv2 @ (skf1 @ X0)) | ~ (ssPv3 @ (skf1 @ X0)))),
% 1.70/1.03 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl833])).
% 1.70/1.03 thf(zip_derived_cl860, plain, (![X0 : $i]: ~ (ssPv2 @ (skf1 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl854, zip_derived_cl817])).
% 1.70/1.03 thf(zip_derived_cl876, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 1.70/1.03 inference('demod', [status(thm)], [zip_derived_cl847, zip_derived_cl860])).
% 1.70/1.03 thf(zip_derived_cl679, plain, (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv3 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl678, zip_derived_cl361])).
% 1.70/1.03 thf(zip_derived_cl516, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 (~ (ssPv4 @ (skf1 @ X0))
% 1.70/1.03 | ~ (ssPv4 @ X0)
% 1.70/1.03 | (ssPv3 @ (skf1 @ X0))
% 1.70/1.03 | (ssPv2 @ (skf1 @ X0)))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl515])).
% 1.70/1.03 thf(zip_derived_cl860, plain, (![X0 : $i]: ~ (ssPv2 @ (skf1 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl854, zip_derived_cl817])).
% 1.70/1.03 thf(zip_derived_cl862, plain,
% 1.70/1.03 (![X0 : $i]:
% 1.70/1.03 (~ (ssPv4 @ (skf1 @ X0)) | ~ (ssPv4 @ X0) | (ssPv3 @ (skf1 @ X0)))),
% 1.70/1.03 inference('demod', [status(thm)], [zip_derived_cl516, zip_derived_cl860])).
% 1.70/1.03 thf(zip_derived_cl679, plain, (![X0 : $i]: ( (ssPv4 @ X0) | (ssPv3 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl678, zip_derived_cl361])).
% 1.70/1.03 thf(zip_derived_cl871, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv3 @ (skf1 @ X0)) | ~ (ssPv4 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl862, zip_derived_cl679])).
% 1.70/1.03 thf(zip_derived_cl876, plain,
% 1.70/1.03 (![X0 : $i]: ( (ssPv2 @ X0) | ~ (ssPv3 @ (skf1 @ X0)))),
% 1.70/1.03 inference('demod', [status(thm)], [zip_derived_cl847, zip_derived_cl860])).
% 1.70/1.03 thf(zip_derived_cl879, plain, (![X0 : $i]: (~ (ssPv4 @ X0) | (ssPv2 @ X0))),
% 1.70/1.03 inference('sup-', [status(thm)], [zip_derived_cl871, zip_derived_cl876])).
% 1.70/1.03 thf(zip_derived_cl817, plain,
% 1.70/1.03 (![X0 : $i]: (~ (ssPv4 @ X0) | ~ (ssPv2 @ X0))),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl815, zip_derived_cl720])).
% 1.70/1.03 thf(zip_derived_cl881, plain, (![X0 : $i]: ~ (ssPv4 @ X0)),
% 1.70/1.03 inference('clc', [status(thm)], [zip_derived_cl879, zip_derived_cl817])).
% 1.70/1.03 thf(zip_derived_cl883, plain, (![X0 : $i]: (ssPv3 @ X0)),
% 1.70/1.03 inference('demod', [status(thm)], [zip_derived_cl679, zip_derived_cl881])).
% 1.70/1.03 thf(zip_derived_cl885, plain, (![X0 : $i]: (ssPv2 @ X0)),
% 1.70/1.03 inference('demod', [status(thm)], [zip_derived_cl876, zip_derived_cl883])).
% 1.70/1.03 thf(zip_derived_cl886, plain, ($false),
% 1.70/1.03 inference('demod', [status(thm)], [zip_derived_cl860, zip_derived_cl885])).
% 1.70/1.03
% 1.70/1.03 % SZS output end Refutation
% 1.70/1.03
% 1.70/1.03
% 1.70/1.03 % Terminating...
% 2.11/1.07 % Runner terminated.
% 2.11/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------