TSTP Solution File: SWC079-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC079-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JafEeiMY3L true
% Computer : n032.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 : Thu Aug 31 21:28:59 EDT 2023
% Result : Unsatisfiable 8.12s 1.67s
% Output : Refutation 8.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWC079-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JafEeiMY3L true
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Aug 28 16:24:00 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31 % Number of cores: 8
% 0.11/0.31 % Python version: Python 3.6.8
% 0.11/0.31 % Running in FO mode
% 0.16/0.52 % Total configuration time : 435
% 0.16/0.52 % Estimated wc time : 1092
% 0.16/0.52 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.59 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.60 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.61 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.61 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.62 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.10/0.66 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.10/0.66 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.12/1.67 % Solved by fo/fo6_bce.sh.
% 8.12/1.67 % BCE start: 197
% 8.12/1.67 % BCE eliminated: 0
% 8.12/1.67 % PE start: 197
% 8.12/1.67 logic: eq
% 8.12/1.67 % PE eliminated: 6
% 8.12/1.67 % done 736 iterations in 1.054s
% 8.12/1.67 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.12/1.67 % SZS output start Refutation
% 8.12/1.67 thf(nil_type, type, nil: $i).
% 8.12/1.67 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 8.12/1.67 thf(cons_type, type, cons: $i > $i > $i).
% 8.12/1.67 thf(sk2_type, type, sk2: $i).
% 8.12/1.67 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 8.12/1.67 thf(sk4_type, type, sk4: $i).
% 8.12/1.67 thf(tl_type, type, tl: $i > $i).
% 8.12/1.67 thf(hd_type, type, hd: $i > $i).
% 8.12/1.67 thf(ssItem_type, type, ssItem: $i > $o).
% 8.12/1.67 thf(sk3_type, type, sk3: $i).
% 8.12/1.67 thf(neq_type, type, neq: $i > $i > $o).
% 8.12/1.67 thf(app_type, type, app: $i > $i > $i).
% 8.12/1.67 thf(ssList_type, type, ssList: $i > $o).
% 8.12/1.67 thf(sk1_type, type, sk1: $i).
% 8.12/1.67 thf(singletonP_type, type, singletonP: $i > $o).
% 8.12/1.67 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 8.12/1.67 thf(clause100, axiom,
% 8.12/1.67 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 8.12/1.67 ( ( V ) = ( U ) ))).
% 8.12/1.67 thf(zip_derived_cl99, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause100])).
% 8.12/1.67 thf(clause57, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ U ))).
% 8.12/1.67 thf(zip_derived_cl56, plain,
% 8.12/1.67 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ X0))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause57])).
% 8.12/1.67 thf(clause75, axiom,
% 8.12/1.67 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 8.12/1.67 thf(zip_derived_cl74, plain,
% 8.12/1.67 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause75])).
% 8.12/1.67 thf(zip_derived_cl74, plain,
% 8.12/1.67 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause75])).
% 8.12/1.67 thf(clause76, axiom,
% 8.12/1.67 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 8.12/1.67 thf(zip_derived_cl75, plain,
% 8.12/1.67 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause76])).
% 8.12/1.67 thf(zip_derived_cl75, plain,
% 8.12/1.67 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause76])).
% 8.12/1.67 thf(clause86, axiom,
% 8.12/1.67 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 8.12/1.67 thf(zip_derived_cl85, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause86])).
% 8.12/1.67 thf(zip_derived_cl75, plain,
% 8.12/1.67 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause76])).
% 8.12/1.67 thf(zip_derived_cl99, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause100])).
% 8.12/1.67 thf(co1_12, conjecture,
% 8.12/1.67 (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) |
% 8.12/1.67 ( ( hd @ sk4 ) != ( B ) ) | ( ( cons @ B @ nil ) != ( A ) ) |
% 8.12/1.67 ( ~( ssItem @ B ) ) | ( ( sk3 ) = ( A ) ) | ( ~( ssList @ A ) ) ))).
% 8.12/1.67 thf(zf_stmt_0, negated_conjecture,
% 8.12/1.67 (( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) |
% 8.12/1.67 ( ( hd @ sk4 ) != ( B ) ) | ( ( cons @ B @ nil ) != ( A ) ) |
% 8.12/1.67 ( ~( ssItem @ B ) ) | ( ( sk3 ) = ( A ) ) | ( ~( ssList @ A ) )),
% 8.12/1.67 inference('cnf.neg', [status(esa)], [co1_12])).
% 8.12/1.67 thf(zip_derived_cl196, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (neq @ sk4 @ nil)
% 8.12/1.67 | ~ (neq @ nil @ sk4)
% 8.12/1.67 | ((hd @ sk4) != (X0))
% 8.12/1.67 | ((cons @ X0 @ nil) != (X1))
% 8.12/1.67 | ~ (ssItem @ X0)
% 8.12/1.67 | ((sk3) = (X1))
% 8.12/1.67 | ~ (ssList @ X1))),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.12/1.67 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 8.12/1.67 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 8.12/1.67 inference('cnf.neg', [status(esa)], [co1_5])).
% 8.12/1.67 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.12/1.67 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 8.12/1.67 thf(zf_stmt_2, negated_conjecture, (neq @ sk2 @ nil),
% 8.12/1.67 inference('cnf.neg', [status(esa)], [co1_7])).
% 8.12/1.67 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.12/1.67 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.12/1.67 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.12/1.67 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 8.12/1.67 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 8.12/1.67 inference('cnf.neg', [status(esa)], [co1_6])).
% 8.12/1.67 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.12/1.67 thf(zip_derived_cl1495, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (neq @ nil @ sk2)
% 8.12/1.67 | ((hd @ sk2) != (X0))
% 8.12/1.67 | ((cons @ X0 @ nil) != (X1))
% 8.12/1.67 | ~ (ssItem @ X0)
% 8.12/1.67 | ((sk1) = (X1))
% 8.12/1.67 | ~ (ssList @ X1))),
% 8.12/1.67 inference('demod', [status(thm)],
% 8.12/1.67 [zip_derived_cl196, zip_derived_cl189, zip_derived_cl191,
% 8.12/1.67 zip_derived_cl189, zip_derived_cl189, zip_derived_cl190])).
% 8.12/1.67 thf(zip_derived_cl1528, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (((nil) = (sk2))
% 8.12/1.67 | ~ (ssList @ nil)
% 8.12/1.67 | ~ (ssList @ sk2)
% 8.12/1.67 | ((hd @ sk2) != (X0))
% 8.12/1.67 | ((cons @ X0 @ nil) != (X1))
% 8.12/1.67 | ~ (ssItem @ X0)
% 8.12/1.67 | ((sk1) = (X1))
% 8.12/1.67 | ~ (ssList @ X1))),
% 8.12/1.67 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl1495])).
% 8.12/1.67 thf(clause8, axiom, (ssList @ nil)).
% 8.12/1.67 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [clause8])).
% 8.12/1.67 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 8.12/1.67 thf(zf_stmt_4, negated_conjecture, (ssList @ sk2),
% 8.12/1.67 inference('cnf.neg', [status(esa)], [co1_2])).
% 8.12/1.67 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.12/1.67 thf(zip_derived_cl1532, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (((nil) = (sk2))
% 8.12/1.67 | ((hd @ sk2) != (X0))
% 8.12/1.67 | ((cons @ X0 @ nil) != (X1))
% 8.12/1.67 | ~ (ssItem @ X0)
% 8.12/1.67 | ((sk1) = (X1))
% 8.12/1.67 | ~ (ssList @ X1))),
% 8.12/1.67 inference('demod', [status(thm)],
% 8.12/1.67 [zip_derived_cl1528, zip_derived_cl7, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl1544, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (~ (ssList @ X0)
% 8.12/1.67 | ((sk1) = (X0))
% 8.12/1.67 | ~ (ssItem @ (hd @ sk2))
% 8.12/1.67 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 8.12/1.67 | ((nil) = (sk2)))),
% 8.12/1.67 inference('eq_res', [status(thm)], [zip_derived_cl1532])).
% 8.12/1.67 thf(zip_derived_cl1545, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (((nil) = (sk2))
% 8.12/1.67 | ~ (ssList @ sk2)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ((sk1) = (X0))
% 8.12/1.67 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 8.12/1.67 | ((nil) = (sk2)))),
% 8.12/1.67 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl1544])).
% 8.12/1.67 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.12/1.67 thf(zip_derived_cl1546, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (((nil) = (sk2))
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ((sk1) = (X0))
% 8.12/1.67 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 8.12/1.67 | ((nil) = (sk2)))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl1545, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl1547, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (((cons @ (hd @ sk2) @ nil) != (X0))
% 8.12/1.67 | ((sk1) = (X0))
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl1546])).
% 8.12/1.67 thf(zip_derived_cl1548, plain,
% 8.12/1.67 ((((nil) = (sk2))
% 8.12/1.67 | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 8.12/1.67 | ((sk1) = (cons @ (hd @ sk2) @ nil)))),
% 8.12/1.67 inference('eq_res', [status(thm)], [zip_derived_cl1547])).
% 8.12/1.67 thf(zip_derived_cl1549, plain,
% 8.12/1.67 ((~ (ssList @ nil)
% 8.12/1.67 | ~ (ssItem @ (hd @ sk2))
% 8.12/1.67 | ((nil) = (sk2))
% 8.12/1.67 | ((sk1) = (cons @ (hd @ sk2) @ nil)))),
% 8.12/1.67 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1548])).
% 8.12/1.67 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [clause8])).
% 8.12/1.67 thf(zip_derived_cl1550, plain,
% 8.12/1.67 ((~ (ssItem @ (hd @ sk2))
% 8.12/1.67 | ((nil) = (sk2))
% 8.12/1.67 | ((sk1) = (cons @ (hd @ sk2) @ nil)))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl1549, zip_derived_cl7])).
% 8.12/1.67 thf(zip_derived_cl1570, plain,
% 8.12/1.67 ((((nil) = (sk2))
% 8.12/1.67 | ~ (ssList @ sk2)
% 8.12/1.67 | ((nil) = (sk2))
% 8.12/1.67 | ((sk1) = (cons @ (hd @ sk2) @ nil)))),
% 8.12/1.67 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl1550])).
% 8.12/1.67 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.12/1.67 thf(zip_derived_cl1571, plain,
% 8.12/1.67 ((((nil) = (sk2)) | ((nil) = (sk2)) | ((sk1) = (cons @ (hd @ sk2) @ nil)))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl1570, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl1572, plain,
% 8.12/1.67 ((((sk1) = (cons @ (hd @ sk2) @ nil)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl1571])).
% 8.12/1.67 thf(clause97, axiom,
% 8.12/1.67 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 8.12/1.67 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 8.12/1.67 thf(zip_derived_cl96, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause97])).
% 8.12/1.67 thf(zip_derived_cl1581, plain,
% 8.12/1.67 ((((nil) = (sk2))
% 8.12/1.67 | ~ (ssItem @ (hd @ sk2))
% 8.12/1.67 | ~ (ssList @ nil)
% 8.12/1.67 | ((hd @ sk1) = (hd @ sk2)))),
% 8.12/1.67 inference('s_sup+', [status(thm)], [zip_derived_cl1572, zip_derived_cl96])).
% 8.12/1.67 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [clause8])).
% 8.12/1.67 thf(zip_derived_cl1595, plain,
% 8.12/1.67 ((((nil) = (sk2)) | ~ (ssItem @ (hd @ sk2)) | ((hd @ sk1) = (hd @ sk2)))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl1581, zip_derived_cl7])).
% 8.12/1.67 thf(zip_derived_cl1622, plain,
% 8.12/1.67 ((((nil) = (sk2))
% 8.12/1.67 | ~ (ssList @ sk2)
% 8.12/1.67 | ((nil) = (sk2))
% 8.12/1.67 | ((hd @ sk1) = (hd @ sk2)))),
% 8.12/1.67 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl1595])).
% 8.12/1.67 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.12/1.67 thf(zip_derived_cl1623, plain,
% 8.12/1.67 ((((nil) = (sk2)) | ((nil) = (sk2)) | ((hd @ sk1) = (hd @ sk2)))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl1622, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl1624, plain,
% 8.12/1.67 ((((hd @ sk1) = (hd @ sk2)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl1623])).
% 8.12/1.67 thf(zip_derived_cl1572, plain,
% 8.12/1.67 ((((sk1) = (cons @ (hd @ sk2) @ nil)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl1571])).
% 8.12/1.67 thf(zip_derived_cl1629, plain,
% 8.12/1.67 ((((nil) = (sk2)) | ((sk1) = (cons @ (hd @ sk1) @ nil)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('s_sup+', [status(thm)],
% 8.12/1.67 [zip_derived_cl1624, zip_derived_cl1572])).
% 8.12/1.67 thf(zip_derived_cl1637, plain,
% 8.12/1.67 ((((sk1) = (cons @ (hd @ sk1) @ nil)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl1629])).
% 8.12/1.67 thf(clause120, axiom,
% 8.12/1.67 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 8.12/1.67 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 8.12/1.67 thf(zip_derived_cl119, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (ssItem @ X0)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause120])).
% 8.12/1.67 thf(zip_derived_cl1690, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (((nil) = (sk2))
% 8.12/1.67 | ~ (ssItem @ (hd @ sk1))
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ((app @ sk1 @ X0) = (cons @ (hd @ sk1) @ X0)))),
% 8.12/1.67 inference('s_sup+', [status(thm)],
% 8.12/1.67 [zip_derived_cl1637, zip_derived_cl119])).
% 8.12/1.67 thf(zip_derived_cl1624, plain,
% 8.12/1.67 ((((hd @ sk1) = (hd @ sk2)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl1623])).
% 8.12/1.67 thf(zip_derived_cl75, plain,
% 8.12/1.67 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause76])).
% 8.12/1.67 thf(zip_derived_cl1625, plain,
% 8.12/1.67 ((((nil) = (sk2))
% 8.12/1.67 | ~ (ssList @ sk2)
% 8.12/1.67 | (ssItem @ (hd @ sk1))
% 8.12/1.67 | ((nil) = (sk2)))),
% 8.12/1.67 inference('s_sup+', [status(thm)], [zip_derived_cl1624, zip_derived_cl75])).
% 8.12/1.67 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.12/1.67 thf(zip_derived_cl1631, plain,
% 8.12/1.67 ((((nil) = (sk2)) | (ssItem @ (hd @ sk1)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl1625, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl1632, plain, (( (ssItem @ (hd @ sk1)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl1631])).
% 8.12/1.67 thf(zip_derived_cl2297, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (((app @ sk1 @ X0) = (cons @ (hd @ sk1) @ X0))
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ((nil) = (sk2)))),
% 8.12/1.67 inference('clc', [status(thm)], [zip_derived_cl1690, zip_derived_cl1632])).
% 8.12/1.67 thf(zip_derived_cl1624, plain,
% 8.12/1.67 ((((hd @ sk1) = (hd @ sk2)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl1623])).
% 8.12/1.67 thf(clause104, axiom,
% 8.12/1.67 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 8.12/1.67 ( ( nil ) = ( U ) ))).
% 8.12/1.67 thf(zip_derived_cl103, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (~ (ssList @ X0)
% 8.12/1.67 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 8.12/1.67 | ((nil) = (X0)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause104])).
% 8.12/1.67 thf(zip_derived_cl1626, plain,
% 8.12/1.67 ((((nil) = (sk2))
% 8.12/1.67 | ~ (ssList @ sk2)
% 8.12/1.67 | ((cons @ (hd @ sk1) @ (tl @ sk2)) = (sk2))
% 8.12/1.67 | ((nil) = (sk2)))),
% 8.12/1.67 inference('s_sup+', [status(thm)],
% 8.12/1.67 [zip_derived_cl1624, zip_derived_cl103])).
% 8.12/1.67 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.12/1.67 thf(zip_derived_cl1633, plain,
% 8.12/1.67 ((((nil) = (sk2))
% 8.12/1.67 | ((cons @ (hd @ sk1) @ (tl @ sk2)) = (sk2))
% 8.12/1.67 | ((nil) = (sk2)))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl1626, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl1634, plain,
% 8.12/1.67 ((((cons @ (hd @ sk1) @ (tl @ sk2)) = (sk2)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl1633])).
% 8.12/1.67 thf(zip_derived_cl2320, plain,
% 8.12/1.67 ((((nil) = (sk2))
% 8.12/1.67 | ~ (ssList @ (tl @ sk2))
% 8.12/1.67 | ((app @ sk1 @ (tl @ sk2)) = (sk2))
% 8.12/1.67 | ((nil) = (sk2)))),
% 8.12/1.67 inference('s_sup+', [status(thm)],
% 8.12/1.67 [zip_derived_cl2297, zip_derived_cl1634])).
% 8.12/1.67 thf(zip_derived_cl2345, plain,
% 8.12/1.67 ((((app @ sk1 @ (tl @ sk2)) = (sk2))
% 8.12/1.67 | ~ (ssList @ (tl @ sk2))
% 8.12/1.67 | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl2320])).
% 8.12/1.67 thf(zip_derived_cl2899, plain,
% 8.12/1.67 ((((nil) = (sk2))
% 8.12/1.67 | ~ (ssList @ sk2)
% 8.12/1.67 | ((app @ sk1 @ (tl @ sk2)) = (sk2))
% 8.12/1.67 | ((nil) = (sk2)))),
% 8.12/1.67 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl2345])).
% 8.12/1.67 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.12/1.67 thf(zip_derived_cl2900, plain,
% 8.12/1.67 ((((nil) = (sk2)) | ((app @ sk1 @ (tl @ sk2)) = (sk2)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl2899, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl2901, plain,
% 8.12/1.67 ((((app @ sk1 @ (tl @ sk2)) = (sk2)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl2900])).
% 8.12/1.67 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 8.12/1.67 thf(zip_derived_cl73, plain,
% 8.12/1.67 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause74])).
% 8.12/1.67 thf(clause172, axiom,
% 8.12/1.67 (( ~( segmentP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ X ) ) |
% 8.12/1.67 ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 8.12/1.67 ( segmentP @ ( app @ ( app @ X @ U ) @ W ) @ V ))).
% 8.12/1.67 thf(zip_derived_cl171, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.12/1.67 (~ (segmentP @ X0 @ X1)
% 8.12/1.67 | ~ (ssList @ X2)
% 8.12/1.67 | ~ (ssList @ X3)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | (segmentP @ (app @ (app @ X3 @ X0) @ X2) @ X1))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause172])).
% 8.12/1.67 thf(zip_derived_cl3025, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.12/1.67 (~ (ssList @ X0)
% 8.12/1.67 | ~ (segmentP @ X0 @ X1)
% 8.12/1.67 | ~ (ssList @ X2)
% 8.12/1.67 | ~ (ssList @ nil)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | (segmentP @ (app @ X0 @ X2) @ X1))),
% 8.12/1.67 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl171])).
% 8.12/1.67 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [clause8])).
% 8.12/1.67 thf(zip_derived_cl3051, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.12/1.67 (~ (ssList @ X0)
% 8.12/1.67 | ~ (segmentP @ X0 @ X1)
% 8.12/1.67 | ~ (ssList @ X2)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | (segmentP @ (app @ X0 @ X2) @ X1))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl3025, zip_derived_cl7])).
% 8.12/1.67 thf(zip_derived_cl3052, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.12/1.67 ( (segmentP @ (app @ X0 @ X2) @ X1)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ~ (ssList @ X2)
% 8.12/1.67 | ~ (segmentP @ X0 @ X1)
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl3051])).
% 8.12/1.67 thf(zip_derived_cl7406, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (((nil) = (sk2))
% 8.12/1.67 | (segmentP @ sk2 @ X0)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ~ (ssList @ (tl @ sk2))
% 8.12/1.67 | ~ (segmentP @ sk1 @ X0)
% 8.12/1.67 | ~ (ssList @ sk1))),
% 8.12/1.67 inference('s_sup+', [status(thm)],
% 8.12/1.67 [zip_derived_cl2901, zip_derived_cl3052])).
% 8.12/1.67 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 8.12/1.67 thf(zf_stmt_5, negated_conjecture, (ssList @ sk1),
% 8.12/1.67 inference('cnf.neg', [status(esa)], [co1_1])).
% 8.12/1.67 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.12/1.67 thf(zip_derived_cl7424, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (((nil) = (sk2))
% 8.12/1.67 | (segmentP @ sk2 @ X0)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ~ (ssList @ (tl @ sk2))
% 8.12/1.67 | ~ (segmentP @ sk1 @ X0))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl7406, zip_derived_cl185])).
% 8.12/1.67 thf(clause83, axiom,
% 8.12/1.67 (( ( nil ) != ( U ) ) | ( ~( ssList @ U ) ) | ( frontsegP @ nil @ U ))).
% 8.12/1.67 thf(zip_derived_cl82, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (((nil) != (X0)) | ~ (ssList @ X0) | (frontsegP @ nil @ X0))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause83])).
% 8.12/1.67 thf(zip_derived_cl56, plain,
% 8.12/1.67 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ X0))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause57])).
% 8.12/1.67 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.12/1.67 thf(clause132, axiom,
% 8.12/1.67 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 8.12/1.67 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 8.12/1.67 thf(zip_derived_cl131, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (frontsegP @ X0 @ X1)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause132])).
% 8.12/1.67 thf(zip_derived_cl73, plain,
% 8.12/1.67 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause74])).
% 8.12/1.67 thf(clause173, axiom,
% 8.12/1.67 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 8.12/1.67 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 8.12/1.67 ( segmentP @ X @ V ))).
% 8.12/1.67 thf(zip_derived_cl172, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.12/1.67 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 8.12/1.67 | ~ (ssList @ X3)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ~ (ssList @ X2)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | (segmentP @ X0 @ X2))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause173])).
% 8.12/1.67 thf(zip_derived_cl3113, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.12/1.67 (~ (ssList @ X0)
% 8.12/1.67 | ((app @ X0 @ X2) != (X1))
% 8.12/1.67 | ~ (ssList @ X2)
% 8.12/1.67 | ~ (ssList @ nil)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | (segmentP @ X1 @ X0))),
% 8.12/1.67 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl172])).
% 8.12/1.67 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [clause8])).
% 8.12/1.67 thf(zip_derived_cl3140, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.12/1.67 (~ (ssList @ X0)
% 8.12/1.67 | ((app @ X0 @ X2) != (X1))
% 8.12/1.67 | ~ (ssList @ X2)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | (segmentP @ X1 @ X0))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl3113, zip_derived_cl7])).
% 8.12/1.67 thf(zip_derived_cl3141, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.12/1.67 ( (segmentP @ X1 @ X0)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ~ (ssList @ X2)
% 8.12/1.67 | ((app @ X0 @ X2) != (X1))
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl3140])).
% 8.12/1.67 thf(zip_derived_cl3155, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.12/1.67 (~ (ssList @ X0)
% 8.12/1.67 | ~ (ssList @ X2)
% 8.12/1.67 | ~ (frontsegP @ X0 @ X2)
% 8.12/1.67 | (segmentP @ X1 @ X2)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ~ (ssList @ (skaf45 @ X0 @ X2))
% 8.12/1.67 | ((X0) != (X1))
% 8.12/1.67 | ~ (ssList @ X2))),
% 8.12/1.67 inference('s_sup-', [status(thm)],
% 8.12/1.67 [zip_derived_cl131, zip_derived_cl3141])).
% 8.12/1.67 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 8.12/1.67 thf(zip_derived_cl50, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause51])).
% 8.12/1.67 thf(zip_derived_cl3173, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.12/1.67 (~ (ssList @ X0)
% 8.12/1.67 | ~ (ssList @ X2)
% 8.12/1.67 | ~ (frontsegP @ X0 @ X2)
% 8.12/1.67 | (segmentP @ X1 @ X2)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ((X0) != (X1))
% 8.12/1.67 | ~ (ssList @ X2))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl3155, zip_derived_cl50])).
% 8.12/1.67 thf(zip_derived_cl3174, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.12/1.67 (((X0) != (X1))
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | (segmentP @ X1 @ X2)
% 8.12/1.67 | ~ (frontsegP @ X0 @ X2)
% 8.12/1.67 | ~ (ssList @ X2)
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl3173])).
% 8.12/1.67 thf(zip_derived_cl3366, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (ssList @ X0)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ~ (frontsegP @ X0 @ X1)
% 8.12/1.67 | (segmentP @ X0 @ X1)
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('eq_res', [status(thm)], [zip_derived_cl3174])).
% 8.12/1.67 thf(zip_derived_cl3367, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 ( (segmentP @ X0 @ X1)
% 8.12/1.67 | ~ (frontsegP @ X0 @ X1)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl3366])).
% 8.12/1.67 thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 8.12/1.67 thf(zip_derived_cl55, plain,
% 8.12/1.67 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ nil))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause56])).
% 8.12/1.67 thf(clause152, axiom,
% 8.12/1.67 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ W ) ) |
% 8.12/1.67 ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 8.12/1.67 ( segmentP @ U @ W ))).
% 8.12/1.67 thf(zip_derived_cl151, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.12/1.67 (~ (segmentP @ X0 @ X1)
% 8.12/1.67 | ~ (segmentP @ X1 @ X2)
% 8.12/1.67 | ~ (ssList @ X2)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | (segmentP @ X0 @ X2))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause152])).
% 8.12/1.67 thf(zip_derived_cl2102, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (ssList @ X0)
% 8.12/1.67 | ~ (segmentP @ nil @ X1)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ~ (ssList @ nil)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | (segmentP @ X0 @ X1))),
% 8.12/1.67 inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl151])).
% 8.12/1.67 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [clause8])).
% 8.12/1.67 thf(zip_derived_cl2109, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (ssList @ X0)
% 8.12/1.67 | ~ (segmentP @ nil @ X1)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | (segmentP @ X0 @ X1))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl2102, zip_derived_cl7])).
% 8.12/1.67 thf(zip_derived_cl2110, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 ( (segmentP @ X0 @ X1)
% 8.12/1.67 | ~ (ssList @ X1)
% 8.12/1.67 | ~ (segmentP @ nil @ X1)
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl2109])).
% 8.12/1.67 thf(zip_derived_cl3463, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (ssList @ nil)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ~ (frontsegP @ nil @ X0)
% 8.12/1.67 | (segmentP @ X1 @ X0)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ~ (ssList @ X1))),
% 8.12/1.67 inference('s_sup-', [status(thm)],
% 8.12/1.67 [zip_derived_cl3367, zip_derived_cl2110])).
% 8.12/1.67 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [clause8])).
% 8.12/1.67 thf(zip_derived_cl3470, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (ssList @ X0)
% 8.12/1.67 | ~ (frontsegP @ nil @ X0)
% 8.12/1.67 | (segmentP @ X1 @ X0)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ~ (ssList @ X1))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl3463, zip_derived_cl7])).
% 8.12/1.67 thf(zip_derived_cl3471, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (ssList @ X1)
% 8.12/1.67 | (segmentP @ X1 @ X0)
% 8.12/1.67 | ~ (frontsegP @ nil @ X0)
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl3470])).
% 8.12/1.67 thf(co1_11, conjecture,
% 8.12/1.67 (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( segmentP @ sk1 @ A ) ) |
% 8.12/1.67 ( ~( segmentP @ sk2 @ A ) ) | ( ~( neq @ A @ nil ) ) |
% 8.12/1.67 ( ~( ssList @ A ) ) ))).
% 8.12/1.67 thf(zf_stmt_6, negated_conjecture,
% 8.12/1.67 (( ~( neq @ sk4 @ nil ) ) | ( ~( segmentP @ sk1 @ A ) ) |
% 8.12/1.67 ( ~( segmentP @ sk2 @ A ) ) | ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) )),
% 8.12/1.67 inference('cnf.neg', [status(esa)], [co1_11])).
% 8.12/1.67 thf(zip_derived_cl195, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (~ (neq @ sk4 @ nil)
% 8.12/1.67 | ~ (segmentP @ sk1 @ X0)
% 8.12/1.67 | ~ (segmentP @ sk2 @ X0)
% 8.12/1.67 | ~ (neq @ X0 @ nil)
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.12/1.67 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.12/1.67 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.12/1.67 thf(zip_derived_cl1444, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (~ (segmentP @ sk1 @ X0)
% 8.12/1.67 | ~ (segmentP @ sk2 @ X0)
% 8.12/1.67 | ~ (neq @ X0 @ nil)
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('demod', [status(thm)],
% 8.12/1.67 [zip_derived_cl195, zip_derived_cl189, zip_derived_cl191])).
% 8.12/1.67 thf(zip_derived_cl3613, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (~ (ssList @ X0)
% 8.12/1.67 | ~ (frontsegP @ nil @ X0)
% 8.12/1.67 | ~ (ssList @ sk1)
% 8.12/1.67 | ~ (segmentP @ sk2 @ X0)
% 8.12/1.67 | ~ (neq @ X0 @ nil)
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('s_sup-', [status(thm)],
% 8.12/1.67 [zip_derived_cl3471, zip_derived_cl1444])).
% 8.12/1.67 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.12/1.67 thf(zip_derived_cl3622, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (~ (ssList @ X0)
% 8.12/1.67 | ~ (frontsegP @ nil @ X0)
% 8.12/1.67 | ~ (segmentP @ sk2 @ X0)
% 8.12/1.67 | ~ (neq @ X0 @ nil)
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl3613, zip_derived_cl185])).
% 8.12/1.67 thf(zip_derived_cl3623, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (~ (neq @ X0 @ nil)
% 8.12/1.67 | ~ (segmentP @ sk2 @ X0)
% 8.12/1.67 | ~ (frontsegP @ nil @ X0)
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl3622])).
% 8.12/1.67 thf(zip_derived_cl3698, plain,
% 8.12/1.67 ((~ (segmentP @ sk2 @ sk2) | ~ (frontsegP @ nil @ sk2) | ~ (ssList @ sk2))),
% 8.12/1.67 inference('s_sup-', [status(thm)],
% 8.12/1.67 [zip_derived_cl191, zip_derived_cl3623])).
% 8.12/1.67 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.12/1.67 thf(zip_derived_cl3701, plain,
% 8.12/1.67 ((~ (segmentP @ sk2 @ sk2) | ~ (frontsegP @ nil @ sk2))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl3698, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl3787, plain,
% 8.12/1.67 ((~ (ssList @ sk2) | ~ (frontsegP @ nil @ sk2))),
% 8.12/1.67 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl3701])).
% 8.12/1.67 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.12/1.67 thf(zip_derived_cl3791, plain, (~ (frontsegP @ nil @ sk2)),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl3787, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl3816, plain, ((~ (ssList @ sk2) | ((nil) != (sk2)))),
% 8.12/1.67 inference('s_sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl3791])).
% 8.12/1.67 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.12/1.67 thf(zip_derived_cl3817, plain, (((nil) != (sk2))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl3816, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl7425, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 ( (segmentP @ sk2 @ X0)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ~ (ssList @ (tl @ sk2))
% 8.12/1.67 | ~ (segmentP @ sk1 @ X0))),
% 8.12/1.67 inference('simplify_reflect-', [status(thm)],
% 8.12/1.67 [zip_derived_cl7424, zip_derived_cl3817])).
% 8.12/1.67 thf(zip_derived_cl7536, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (((nil) = (sk2))
% 8.12/1.67 | ~ (ssList @ sk2)
% 8.12/1.67 | (segmentP @ sk2 @ X0)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ~ (segmentP @ sk1 @ X0))),
% 8.12/1.67 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl7425])).
% 8.12/1.67 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.12/1.67 thf(zip_derived_cl7537, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (((nil) = (sk2))
% 8.12/1.67 | (segmentP @ sk2 @ X0)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ~ (segmentP @ sk1 @ X0))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl7536, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl3817, plain, (((nil) != (sk2))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl3816, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl7538, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 ( (segmentP @ sk2 @ X0) | ~ (ssList @ X0) | ~ (segmentP @ sk1 @ X0))),
% 8.12/1.67 inference('simplify_reflect-', [status(thm)],
% 8.12/1.67 [zip_derived_cl7537, zip_derived_cl3817])).
% 8.12/1.67 thf(zip_derived_cl56, plain,
% 8.12/1.67 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ X0))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause57])).
% 8.12/1.67 thf(zip_derived_cl1444, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (~ (segmentP @ sk1 @ X0)
% 8.12/1.67 | ~ (segmentP @ sk2 @ X0)
% 8.12/1.67 | ~ (neq @ X0 @ nil)
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('demod', [status(thm)],
% 8.12/1.67 [zip_derived_cl195, zip_derived_cl189, zip_derived_cl191])).
% 8.12/1.67 thf(zip_derived_cl1445, plain,
% 8.12/1.67 ((~ (ssList @ sk1)
% 8.12/1.67 | ~ (segmentP @ sk2 @ sk1)
% 8.12/1.67 | ~ (neq @ sk1 @ nil)
% 8.12/1.67 | ~ (ssList @ sk1))),
% 8.12/1.67 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl1444])).
% 8.12/1.67 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.12/1.67 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.12/1.67 thf(zip_derived_cl1447, plain,
% 8.12/1.67 ((~ (segmentP @ sk2 @ sk1) | ~ (neq @ sk1 @ nil))),
% 8.12/1.67 inference('demod', [status(thm)],
% 8.12/1.67 [zip_derived_cl1445, zip_derived_cl185, zip_derived_cl185])).
% 8.12/1.67 thf(zip_derived_cl7584, plain,
% 8.12/1.67 ((~ (segmentP @ sk1 @ sk1) | ~ (ssList @ sk1) | ~ (neq @ sk1 @ nil))),
% 8.12/1.67 inference('s_sup-', [status(thm)],
% 8.12/1.67 [zip_derived_cl7538, zip_derived_cl1447])).
% 8.12/1.67 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.12/1.67 thf(zip_derived_cl7591, plain,
% 8.12/1.67 ((~ (segmentP @ sk1 @ sk1) | ~ (neq @ sk1 @ nil))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl7584, zip_derived_cl185])).
% 8.12/1.67 thf(zip_derived_cl7594, plain, ((~ (ssList @ sk1) | ~ (neq @ sk1 @ nil))),
% 8.12/1.67 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl7591])).
% 8.12/1.67 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.12/1.67 thf(zip_derived_cl7601, plain, (~ (neq @ sk1 @ nil)),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl7594, zip_derived_cl185])).
% 8.12/1.67 thf(zip_derived_cl7611, plain,
% 8.12/1.67 ((((sk1) = (nil)) | ~ (ssList @ sk1) | ~ (ssList @ nil))),
% 8.12/1.67 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl7601])).
% 8.12/1.67 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.12/1.67 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.12/1.67 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [clause8])).
% 8.12/1.67 thf(zip_derived_cl7613, plain, (((sk1) = (nil))),
% 8.12/1.67 inference('demod', [status(thm)],
% 8.12/1.67 [zip_derived_cl7611, zip_derived_cl185, zip_derived_cl7])).
% 8.12/1.67 thf(zip_derived_cl2297, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (((app @ sk1 @ X0) = (cons @ (hd @ sk1) @ X0))
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ((nil) = (sk2)))),
% 8.12/1.67 inference('clc', [status(thm)], [zip_derived_cl1690, zip_derived_cl1632])).
% 8.12/1.67 thf(clause116, axiom,
% 8.12/1.67 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 8.12/1.67 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 8.12/1.67 thf(zip_derived_cl115, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (((cons @ X1 @ nil) != (X0))
% 8.12/1.67 | ~ (ssItem @ X1)
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | (singletonP @ X0))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause116])).
% 8.12/1.67 thf(clause11, axiom, (~( singletonP @ nil ))).
% 8.12/1.67 thf(zip_derived_cl10, plain, (~ (singletonP @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [clause11])).
% 8.12/1.67 thf(zip_derived_cl1385, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (~ (ssList @ nil) | ~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 8.12/1.67 inference('dp-resolution', [status(thm)],
% 8.12/1.67 [zip_derived_cl115, zip_derived_cl10])).
% 8.12/1.67 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [clause8])).
% 8.12/1.67 thf(zip_derived_cl1415, plain,
% 8.12/1.67 (![X0 : $i]: (~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl1385, zip_derived_cl7])).
% 8.12/1.67 thf(zip_derived_cl2311, plain,
% 8.12/1.67 ((((nil) = (sk2))
% 8.12/1.67 | ~ (ssList @ nil)
% 8.12/1.67 | ~ (ssItem @ (hd @ sk1))
% 8.12/1.67 | ((app @ sk1 @ nil) != (nil)))),
% 8.12/1.67 inference('s_sup-', [status(thm)],
% 8.12/1.67 [zip_derived_cl2297, zip_derived_cl1415])).
% 8.12/1.67 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [clause8])).
% 8.12/1.67 thf(zip_derived_cl2334, plain,
% 8.12/1.67 ((((nil) = (sk2))
% 8.12/1.67 | ~ (ssItem @ (hd @ sk1))
% 8.12/1.67 | ((app @ sk1 @ nil) != (nil)))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl2311, zip_derived_cl7])).
% 8.12/1.67 thf(zip_derived_cl1632, plain, (( (ssItem @ (hd @ sk1)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl1631])).
% 8.12/1.67 thf(zip_derived_cl2346, plain,
% 8.12/1.67 ((((app @ sk1 @ nil) != (nil)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('clc', [status(thm)], [zip_derived_cl2334, zip_derived_cl1632])).
% 8.12/1.67 thf(zip_derived_cl1632, plain, (( (ssItem @ (hd @ sk1)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl1631])).
% 8.12/1.67 thf(zip_derived_cl85, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 8.12/1.67 inference('cnf', [status(esa)], [clause86])).
% 8.12/1.67 thf(zip_derived_cl1632, plain, (( (ssItem @ (hd @ sk1)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl1631])).
% 8.12/1.67 thf(zip_derived_cl1624, plain,
% 8.12/1.67 ((((hd @ sk1) = (hd @ sk2)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl1623])).
% 8.12/1.67 thf(zip_derived_cl1532, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (((nil) = (sk2))
% 8.12/1.67 | ((hd @ sk2) != (X0))
% 8.12/1.67 | ((cons @ X0 @ nil) != (X1))
% 8.12/1.67 | ~ (ssItem @ X0)
% 8.12/1.67 | ((sk1) = (X1))
% 8.12/1.67 | ~ (ssList @ X1))),
% 8.12/1.67 inference('demod', [status(thm)],
% 8.12/1.67 [zip_derived_cl1528, zip_derived_cl7, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl1627, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (((nil) = (sk2))
% 8.12/1.67 | ((nil) = (sk2))
% 8.12/1.67 | ((hd @ sk1) != (X0))
% 8.12/1.67 | ((cons @ X0 @ nil) != (X1))
% 8.12/1.67 | ~ (ssItem @ X0)
% 8.12/1.67 | ((sk1) = (X1))
% 8.12/1.67 | ~ (ssList @ X1))),
% 8.12/1.67 inference('s_sup-', [status(thm)],
% 8.12/1.67 [zip_derived_cl1624, zip_derived_cl1532])).
% 8.12/1.67 thf(zip_derived_cl1635, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (ssList @ X1)
% 8.12/1.67 | ((sk1) = (X1))
% 8.12/1.67 | ~ (ssItem @ X0)
% 8.12/1.67 | ((cons @ X0 @ nil) != (X1))
% 8.12/1.67 | ((hd @ sk1) != (X0))
% 8.12/1.67 | ((nil) = (sk2)))),
% 8.12/1.67 inference('simplify', [status(thm)], [zip_derived_cl1627])).
% 8.12/1.67 thf(zip_derived_cl3817, plain, (((nil) != (sk2))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl3816, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl5161, plain,
% 8.12/1.67 (![X0 : $i, X1 : $i]:
% 8.12/1.67 (~ (ssList @ X1)
% 8.12/1.67 | ((sk1) = (X1))
% 8.12/1.67 | ~ (ssItem @ X0)
% 8.12/1.67 | ((cons @ X0 @ nil) != (X1))
% 8.12/1.67 | ((hd @ sk1) != (X0)))),
% 8.12/1.67 inference('simplify_reflect-', [status(thm)],
% 8.12/1.67 [zip_derived_cl1635, zip_derived_cl3817])).
% 8.12/1.67 thf(zip_derived_cl5162, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (((cons @ (hd @ sk1) @ nil) != (X0))
% 8.12/1.67 | ~ (ssItem @ (hd @ sk1))
% 8.12/1.67 | ((sk1) = (X0))
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('eq_res', [status(thm)], [zip_derived_cl5161])).
% 8.12/1.67 thf(zip_derived_cl5164, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (((nil) = (sk2))
% 8.12/1.67 | ((cons @ (hd @ sk1) @ nil) != (X0))
% 8.12/1.67 | ((sk1) = (X0))
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('s_sup-', [status(thm)],
% 8.12/1.67 [zip_derived_cl1632, zip_derived_cl5162])).
% 8.12/1.67 thf(zip_derived_cl3817, plain, (((nil) != (sk2))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl3816, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl5167, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (((cons @ (hd @ sk1) @ nil) != (X0))
% 8.12/1.67 | ((sk1) = (X0))
% 8.12/1.67 | ~ (ssList @ X0))),
% 8.12/1.67 inference('simplify_reflect-', [status(thm)],
% 8.12/1.67 [zip_derived_cl5164, zip_derived_cl3817])).
% 8.12/1.67 thf(zip_derived_cl5171, plain,
% 8.12/1.67 ((~ (ssList @ (cons @ (hd @ sk1) @ nil))
% 8.12/1.67 | ((sk1) = (cons @ (hd @ sk1) @ nil)))),
% 8.12/1.67 inference('eq_res', [status(thm)], [zip_derived_cl5167])).
% 8.12/1.67 thf(zip_derived_cl5175, plain,
% 8.12/1.67 ((~ (ssList @ nil)
% 8.12/1.67 | ~ (ssItem @ (hd @ sk1))
% 8.12/1.67 | ((sk1) = (cons @ (hd @ sk1) @ nil)))),
% 8.12/1.67 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl5171])).
% 8.12/1.67 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [clause8])).
% 8.12/1.67 thf(zip_derived_cl5179, plain,
% 8.12/1.67 ((~ (ssItem @ (hd @ sk1)) | ((sk1) = (cons @ (hd @ sk1) @ nil)))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl5175, zip_derived_cl7])).
% 8.12/1.67 thf(zip_derived_cl5186, plain,
% 8.12/1.67 ((((nil) = (sk2)) | ((sk1) = (cons @ (hd @ sk1) @ nil)))),
% 8.12/1.67 inference('s_sup-', [status(thm)],
% 8.12/1.67 [zip_derived_cl1632, zip_derived_cl5179])).
% 8.12/1.67 thf(zip_derived_cl3817, plain, (((nil) != (sk2))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl3816, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl5189, plain, (((sk1) = (cons @ (hd @ sk1) @ nil))),
% 8.12/1.67 inference('simplify_reflect-', [status(thm)],
% 8.12/1.67 [zip_derived_cl5186, zip_derived_cl3817])).
% 8.12/1.67 thf(zip_derived_cl2297, plain,
% 8.12/1.67 (![X0 : $i]:
% 8.12/1.67 (((app @ sk1 @ X0) = (cons @ (hd @ sk1) @ X0))
% 8.12/1.67 | ~ (ssList @ X0)
% 8.12/1.67 | ((nil) = (sk2)))),
% 8.12/1.67 inference('clc', [status(thm)], [zip_derived_cl1690, zip_derived_cl1632])).
% 8.12/1.67 thf(zip_derived_cl5272, plain,
% 8.12/1.67 ((((app @ sk1 @ nil) = (sk1)) | ~ (ssList @ nil) | ((nil) = (sk2)))),
% 8.12/1.67 inference('s_sup+', [status(thm)],
% 8.12/1.67 [zip_derived_cl5189, zip_derived_cl2297])).
% 8.12/1.67 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.12/1.67 inference('cnf', [status(esa)], [clause8])).
% 8.12/1.67 thf(zip_derived_cl5334, plain,
% 8.12/1.67 ((((app @ sk1 @ nil) = (sk1)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl5272, zip_derived_cl7])).
% 8.12/1.67 thf(zip_derived_cl3817, plain, (((nil) != (sk2))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl3816, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl5335, plain, (((app @ sk1 @ nil) = (sk1))),
% 8.12/1.67 inference('simplify_reflect-', [status(thm)],
% 8.12/1.67 [zip_derived_cl5334, zip_derived_cl3817])).
% 8.12/1.67 thf(zip_derived_cl5346, plain, ((((sk1) != (nil)) | ((nil) = (sk2)))),
% 8.12/1.67 inference('demod', [status(thm)],
% 8.12/1.67 [zip_derived_cl2346, zip_derived_cl5335])).
% 8.12/1.67 thf(zip_derived_cl3817, plain, (((nil) != (sk2))),
% 8.12/1.67 inference('demod', [status(thm)], [zip_derived_cl3816, zip_derived_cl186])).
% 8.12/1.67 thf(zip_derived_cl5347, plain, (((sk1) != (nil))),
% 8.12/1.67 inference('simplify_reflect-', [status(thm)],
% 8.12/1.67 [zip_derived_cl5346, zip_derived_cl3817])).
% 8.12/1.67 thf(zip_derived_cl7614, plain, ($false),
% 8.12/1.67 inference('simplify_reflect-', [status(thm)],
% 8.12/1.67 [zip_derived_cl7613, zip_derived_cl5347])).
% 8.12/1.67
% 8.12/1.67 % SZS output end Refutation
% 8.12/1.67
% 8.12/1.67
% 8.12/1.67 % Terminating...
% 8.53/1.75 % Runner terminated.
% 8.53/1.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------