TSTP Solution File: SWC382-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC382-1 : 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.5d5IZLs3mh true
% Computer : n017.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 21:31:11 EDT 2023
% Result : Unsatisfiable 14.03s 2.68s
% Output : Refutation 14.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC382-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5d5IZLs3mh true
% 0.13/0.35 % Computer : n017.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 : Mon Aug 28 16:44:43 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/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
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.67/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.95/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.95/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.95/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.95/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.95/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.95/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 14.03/2.68 % Solved by fo/fo13.sh.
% 14.03/2.68 % done 2295 iterations in 1.884s
% 14.03/2.68 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.03/2.68 % SZS output start Refutation
% 14.03/2.68 thf(nil_type, type, nil: $i).
% 14.03/2.68 thf(cons_type, type, cons: $i > $i > $i).
% 14.03/2.68 thf(sk2_type, type, sk2: $i).
% 14.03/2.68 thf(sk4_type, type, sk4: $i).
% 14.03/2.68 thf(tl_type, type, tl: $i > $i).
% 14.03/2.68 thf(hd_type, type, hd: $i > $i).
% 14.03/2.68 thf(ssItem_type, type, ssItem: $i > $o).
% 14.03/2.68 thf(skaf82_type, type, skaf82: $i > $i).
% 14.03/2.68 thf(sk3_type, type, sk3: $i).
% 14.03/2.68 thf(skaf83_type, type, skaf83: $i > $i).
% 14.03/2.68 thf(neq_type, type, neq: $i > $i > $o).
% 14.03/2.68 thf(app_type, type, app: $i > $i > $i).
% 14.03/2.68 thf(ssList_type, type, ssList: $i > $o).
% 14.03/2.68 thf(sk1_type, type, sk1: $i).
% 14.03/2.68 thf(singletonP_type, type, singletonP: $i > $o).
% 14.03/2.68 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 14.03/2.68 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 14.03/2.68 thf(zf_stmt_0, negated_conjecture, (neq @ sk2 @ nil),
% 14.03/2.68 inference('cnf.neg', [status(esa)], [co1_7])).
% 14.03/2.68 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.03/2.68 thf(clause76, axiom,
% 14.03/2.68 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 14.03/2.68 thf(zip_derived_cl75, plain,
% 14.03/2.68 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause76])).
% 14.03/2.68 thf(clause86, axiom,
% 14.03/2.68 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 14.03/2.68 thf(zip_derived_cl85, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause86])).
% 14.03/2.68 thf(zip_derived_cl75, plain,
% 14.03/2.68 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause76])).
% 14.03/2.68 thf(clause100, axiom,
% 14.03/2.68 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 14.03/2.68 ( ( V ) = ( U ) ))).
% 14.03/2.68 thf(zip_derived_cl99, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause100])).
% 14.03/2.68 thf(co1_11, conjecture,
% 14.03/2.68 (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) |
% 14.03/2.68 ( ( hd @ sk4 ) != ( B ) ) | ( ( cons @ B @ nil ) != ( A ) ) |
% 14.03/2.68 ( ~( ssItem @ B ) ) | ( ( sk3 ) = ( A ) ) | ( ~( ssList @ A ) ) ))).
% 14.03/2.68 thf(zf_stmt_1, negated_conjecture,
% 14.03/2.68 (( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) |
% 14.03/2.68 ( ( hd @ sk4 ) != ( B ) ) | ( ( cons @ B @ nil ) != ( A ) ) |
% 14.03/2.68 ( ~( ssItem @ B ) ) | ( ( sk3 ) = ( A ) ) | ( ~( ssList @ A ) )),
% 14.03/2.68 inference('cnf.neg', [status(esa)], [co1_11])).
% 14.03/2.68 thf(zip_derived_cl195, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (~ (neq @ sk4 @ nil)
% 14.03/2.68 | ~ (neq @ nil @ sk4)
% 14.03/2.68 | ((hd @ sk4) != (X0))
% 14.03/2.68 | ((cons @ X0 @ nil) != (X1))
% 14.03/2.68 | ~ (ssItem @ X0)
% 14.03/2.68 | ((sk3) = (X1))
% 14.03/2.68 | ~ (ssList @ X1))),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.03/2.68 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 14.03/2.68 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 14.03/2.68 inference('cnf.neg', [status(esa)], [co1_5])).
% 14.03/2.68 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_2])).
% 14.03/2.68 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.03/2.68 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_2])).
% 14.03/2.68 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_2])).
% 14.03/2.68 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 14.03/2.68 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 14.03/2.68 inference('cnf.neg', [status(esa)], [co1_6])).
% 14.03/2.68 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_3])).
% 14.03/2.68 thf(zip_derived_cl203, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (~ (neq @ nil @ sk2)
% 14.03/2.68 | ((hd @ sk2) != (X0))
% 14.03/2.68 | ((cons @ X0 @ nil) != (X1))
% 14.03/2.68 | ~ (ssItem @ X0)
% 14.03/2.68 | ((sk1) = (X1))
% 14.03/2.68 | ~ (ssList @ X1))),
% 14.03/2.68 inference('demod', [status(thm)],
% 14.03/2.68 [zip_derived_cl195, zip_derived_cl189, zip_derived_cl191,
% 14.03/2.68 zip_derived_cl189, zip_derived_cl189, zip_derived_cl190])).
% 14.03/2.68 thf(zip_derived_cl287, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ nil)
% 14.03/2.68 | ~ (ssList @ sk2)
% 14.03/2.68 | ((hd @ sk2) != (X0))
% 14.03/2.68 | ((cons @ X0 @ nil) != (X1))
% 14.03/2.68 | ~ (ssItem @ X0)
% 14.03/2.68 | ((sk1) = (X1))
% 14.03/2.68 | ~ (ssList @ X1))),
% 14.03/2.68 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl203])).
% 14.03/2.68 thf(clause8, axiom, (ssList @ nil)).
% 14.03/2.68 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 14.03/2.68 inference('cnf', [status(esa)], [clause8])).
% 14.03/2.68 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 14.03/2.68 thf(zf_stmt_4, negated_conjecture, (ssList @ sk2),
% 14.03/2.68 inference('cnf.neg', [status(esa)], [co1_2])).
% 14.03/2.68 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_4])).
% 14.03/2.68 thf(zip_derived_cl290, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (((nil) = (sk2))
% 14.03/2.68 | ((hd @ sk2) != (X0))
% 14.03/2.68 | ((cons @ X0 @ nil) != (X1))
% 14.03/2.68 | ~ (ssItem @ X0)
% 14.03/2.68 | ((sk1) = (X1))
% 14.03/2.68 | ~ (ssList @ X1))),
% 14.03/2.68 inference('demod', [status(thm)],
% 14.03/2.68 [zip_derived_cl287, zip_derived_cl7, zip_derived_cl186])).
% 14.03/2.68 thf(zip_derived_cl303, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (~ (ssList @ X0)
% 14.03/2.68 | ((sk1) = (X0))
% 14.03/2.68 | ~ (ssItem @ (hd @ sk2))
% 14.03/2.68 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('eq_res', [status(thm)], [zip_derived_cl290])).
% 14.03/2.68 thf(zip_derived_cl310, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ sk2)
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((sk1) = (X0))
% 14.03/2.68 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl303])).
% 14.03/2.68 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_4])).
% 14.03/2.68 thf(zip_derived_cl311, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((sk1) = (X0))
% 14.03/2.68 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl310, zip_derived_cl186])).
% 14.03/2.68 thf(zip_derived_cl312, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((cons @ (hd @ sk2) @ nil) != (X0))
% 14.03/2.68 | ((sk1) = (X0))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl311])).
% 14.03/2.68 thf(zip_derived_cl313, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 14.03/2.68 | ((sk1) = (cons @ (hd @ sk2) @ nil)))),
% 14.03/2.68 inference('eq_res', [status(thm)], [zip_derived_cl312])).
% 14.03/2.68 thf(zip_derived_cl315, plain,
% 14.03/2.68 ((~ (ssList @ nil)
% 14.03/2.68 | ~ (ssItem @ (hd @ sk2))
% 14.03/2.68 | ((nil) = (sk2))
% 14.03/2.68 | ((sk1) = (cons @ (hd @ sk2) @ nil)))),
% 14.03/2.68 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl313])).
% 14.03/2.68 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 14.03/2.68 inference('cnf', [status(esa)], [clause8])).
% 14.03/2.68 thf(zip_derived_cl316, plain,
% 14.03/2.68 ((~ (ssItem @ (hd @ sk2))
% 14.03/2.68 | ((nil) = (sk2))
% 14.03/2.68 | ((sk1) = (cons @ (hd @ sk2) @ nil)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl315, zip_derived_cl7])).
% 14.03/2.68 thf(zip_derived_cl318, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ sk2)
% 14.03/2.68 | ((nil) = (sk2))
% 14.03/2.68 | ((sk1) = (cons @ (hd @ sk2) @ nil)))),
% 14.03/2.68 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl316])).
% 14.03/2.68 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_4])).
% 14.03/2.68 thf(zip_derived_cl319, plain,
% 14.03/2.68 ((((nil) = (sk2)) | ((nil) = (sk2)) | ((sk1) = (cons @ (hd @ sk2) @ nil)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl318, zip_derived_cl186])).
% 14.03/2.68 thf(zip_derived_cl320, plain,
% 14.03/2.68 ((((sk1) = (cons @ (hd @ sk2) @ nil)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl319])).
% 14.03/2.68 thf(clause120, axiom,
% 14.03/2.68 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 14.03/2.68 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 14.03/2.68 thf(zip_derived_cl119, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (~ (ssItem @ X0)
% 14.03/2.68 | ~ (ssList @ X1)
% 14.03/2.68 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause120])).
% 14.03/2.68 thf(zip_derived_cl523, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((nil) = (sk2))
% 14.03/2.68 | ~ (ssItem @ (hd @ sk2))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((app @ sk1 @ X0) = (cons @ (hd @ sk2) @ X0)))),
% 14.03/2.68 inference('s_sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl119])).
% 14.03/2.68 thf(clause75, axiom,
% 14.03/2.68 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 14.03/2.68 thf(zip_derived_cl74, plain,
% 14.03/2.68 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause75])).
% 14.03/2.68 thf(zip_derived_cl74, plain,
% 14.03/2.68 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause75])).
% 14.03/2.68 thf(clause109, axiom,
% 14.03/2.68 (( ~( ssList @ U ) ) |
% 14.03/2.68 ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) |
% 14.03/2.68 ( ( nil ) = ( U ) ))).
% 14.03/2.68 thf(zip_derived_cl108, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (~ (ssList @ X0)
% 14.03/2.68 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 14.03/2.68 | ((nil) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause109])).
% 14.03/2.68 thf(zip_derived_cl75, plain,
% 14.03/2.68 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause76])).
% 14.03/2.68 thf(zip_derived_cl320, plain,
% 14.03/2.68 ((((sk1) = (cons @ (hd @ sk2) @ nil)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl319])).
% 14.03/2.68 thf(clause97, axiom,
% 14.03/2.68 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 14.03/2.68 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 14.03/2.68 thf(zip_derived_cl96, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause97])).
% 14.03/2.68 thf(zip_derived_cl322, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ~ (ssItem @ (hd @ sk2))
% 14.03/2.68 | ~ (ssList @ nil)
% 14.03/2.68 | ((hd @ sk1) = (hd @ sk2)))),
% 14.03/2.68 inference('s_sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl96])).
% 14.03/2.68 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 14.03/2.68 inference('cnf', [status(esa)], [clause8])).
% 14.03/2.68 thf(zip_derived_cl336, plain,
% 14.03/2.68 ((((nil) = (sk2)) | ~ (ssItem @ (hd @ sk2)) | ((hd @ sk1) = (hd @ sk2)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl322, zip_derived_cl7])).
% 14.03/2.68 thf(zip_derived_cl367, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ sk2)
% 14.03/2.68 | ((nil) = (sk2))
% 14.03/2.68 | ((hd @ sk1) = (hd @ sk2)))),
% 14.03/2.68 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl336])).
% 14.03/2.68 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_4])).
% 14.03/2.68 thf(zip_derived_cl368, plain,
% 14.03/2.68 ((((nil) = (sk2)) | ((nil) = (sk2)) | ((hd @ sk1) = (hd @ sk2)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl186])).
% 14.03/2.68 thf(zip_derived_cl369, plain,
% 14.03/2.68 ((((hd @ sk1) = (hd @ sk2)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl368])).
% 14.03/2.68 thf(zip_derived_cl320, plain,
% 14.03/2.68 ((((sk1) = (cons @ (hd @ sk2) @ nil)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl319])).
% 14.03/2.68 thf(zip_derived_cl374, plain,
% 14.03/2.68 ((((nil) = (sk2)) | ((sk1) = (cons @ (hd @ sk1) @ nil)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('s_sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl320])).
% 14.03/2.68 thf(zip_derived_cl381, plain,
% 14.03/2.68 ((((sk1) = (cons @ (hd @ sk1) @ nil)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl374])).
% 14.03/2.68 thf(clause171, axiom,
% 14.03/2.68 (( ( cons @ U @ V ) != ( cons @ W @ X ) ) | ( ~( ssItem @ W ) ) |
% 14.03/2.68 ( ~( ssItem @ U ) ) | ( ~( ssList @ X ) ) | ( ~( ssList @ V ) ) |
% 14.03/2.68 ( ( X ) = ( V ) ))).
% 14.03/2.68 thf(zip_derived_cl170, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.03/2.68 (((cons @ X2 @ X3) != (cons @ X0 @ X1))
% 14.03/2.68 | ~ (ssItem @ X0)
% 14.03/2.68 | ~ (ssItem @ X2)
% 14.03/2.68 | ~ (ssList @ X1)
% 14.03/2.68 | ~ (ssList @ X3)
% 14.03/2.68 | ((X1) = (X3)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause171])).
% 14.03/2.68 thf(zip_derived_cl818, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (((nil) = (sk2))
% 14.03/2.68 | ((sk1) != (cons @ X1 @ X0))
% 14.03/2.68 | ~ (ssItem @ X1)
% 14.03/2.68 | ~ (ssItem @ (hd @ sk1))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ~ (ssList @ nil)
% 14.03/2.68 | ((X0) = (nil)))),
% 14.03/2.68 inference('s_sup-', [status(thm)], [zip_derived_cl381, zip_derived_cl170])).
% 14.03/2.68 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 14.03/2.68 inference('cnf', [status(esa)], [clause8])).
% 14.03/2.68 thf(zip_derived_cl832, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (((nil) = (sk2))
% 14.03/2.68 | ((sk1) != (cons @ X1 @ X0))
% 14.03/2.68 | ~ (ssItem @ X1)
% 14.03/2.68 | ~ (ssItem @ (hd @ sk1))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((X0) = (nil)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl818, zip_derived_cl7])).
% 14.03/2.68 thf(zip_derived_cl369, plain,
% 14.03/2.68 ((((hd @ sk1) = (hd @ sk2)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl368])).
% 14.03/2.68 thf(zip_derived_cl75, plain,
% 14.03/2.68 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause76])).
% 14.03/2.68 thf(zip_derived_cl370, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ sk2)
% 14.03/2.68 | (ssItem @ (hd @ sk1))
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('s_sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl75])).
% 14.03/2.68 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_4])).
% 14.03/2.68 thf(zip_derived_cl375, plain,
% 14.03/2.68 ((((nil) = (sk2)) | (ssItem @ (hd @ sk1)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl370, zip_derived_cl186])).
% 14.03/2.68 thf(zip_derived_cl376, plain, (( (ssItem @ (hd @ sk1)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl375])).
% 14.03/2.68 thf(zip_derived_cl1367, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (((X0) = (nil))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ~ (ssItem @ X1)
% 14.03/2.68 | ((sk1) != (cons @ X1 @ X0))
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('clc', [status(thm)], [zip_derived_cl832, zip_derived_cl376])).
% 14.03/2.68 thf(zip_derived_cl1368, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((nil) = (X0))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((skaf82 @ X0) = (nil))
% 14.03/2.68 | ~ (ssList @ (skaf82 @ X0))
% 14.03/2.68 | ~ (ssItem @ (skaf83 @ X0))
% 14.03/2.68 | ((sk1) != (X0))
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('s_sup-', [status(thm)],
% 14.03/2.68 [zip_derived_cl108, zip_derived_cl1367])).
% 14.03/2.68 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 14.03/2.68 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause13])).
% 14.03/2.68 thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 14.03/2.68 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause12])).
% 14.03/2.68 thf(zip_derived_cl1374, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((nil) = (X0))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((skaf82 @ X0) = (nil))
% 14.03/2.68 | ((sk1) != (X0))
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('demod', [status(thm)],
% 14.03/2.68 [zip_derived_cl1368, zip_derived_cl12, zip_derived_cl11])).
% 14.03/2.68 thf(zip_derived_cl1382, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ((skaf82 @ sk1) = (nil))
% 14.03/2.68 | ~ (ssList @ sk1)
% 14.03/2.68 | ((nil) = (sk1)))),
% 14.03/2.68 inference('eq_res', [status(thm)], [zip_derived_cl1374])).
% 14.03/2.68 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 14.03/2.68 thf(zf_stmt_5, negated_conjecture, (ssList @ sk1),
% 14.03/2.68 inference('cnf.neg', [status(esa)], [co1_1])).
% 14.03/2.68 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_5])).
% 14.03/2.68 thf(zip_derived_cl1383, plain,
% 14.03/2.68 ((((nil) = (sk2)) | ((skaf82 @ sk1) = (nil)) | ((nil) = (sk1)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl1382, zip_derived_cl185])).
% 14.03/2.68 thf(zip_derived_cl381, plain,
% 14.03/2.68 ((((sk1) = (cons @ (hd @ sk1) @ nil)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl374])).
% 14.03/2.68 thf(clause98, axiom,
% 14.03/2.68 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 14.03/2.68 ( ~( ssList @ V ) ))).
% 14.03/2.68 thf(zip_derived_cl97, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause98])).
% 14.03/2.68 thf(zip_derived_cl416, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ((sk1) != (nil))
% 14.03/2.68 | ~ (ssItem @ (hd @ sk1))
% 14.03/2.68 | ~ (ssList @ nil))),
% 14.03/2.68 inference('s_sup-', [status(thm)], [zip_derived_cl381, zip_derived_cl97])).
% 14.03/2.68 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 14.03/2.68 inference('cnf', [status(esa)], [clause8])).
% 14.03/2.68 thf(zip_derived_cl430, plain,
% 14.03/2.68 ((((nil) = (sk2)) | ((sk1) != (nil)) | ~ (ssItem @ (hd @ sk1)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl416, zip_derived_cl7])).
% 14.03/2.68 thf(zip_derived_cl376, plain, (( (ssItem @ (hd @ sk1)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl375])).
% 14.03/2.68 thf(zip_derived_cl432, plain, ((((sk1) != (nil)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('clc', [status(thm)], [zip_derived_cl430, zip_derived_cl376])).
% 14.03/2.68 thf(zip_derived_cl1384, plain,
% 14.03/2.68 ((((skaf82 @ sk1) = (nil)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('clc', [status(thm)], [zip_derived_cl1383, zip_derived_cl432])).
% 14.03/2.68 thf(zip_derived_cl108, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (~ (ssList @ X0)
% 14.03/2.68 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 14.03/2.68 | ((nil) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause109])).
% 14.03/2.68 thf(zip_derived_cl1386, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ sk1)
% 14.03/2.68 | ((cons @ (skaf83 @ sk1) @ nil) = (sk1))
% 14.03/2.68 | ((nil) = (sk1)))),
% 14.03/2.68 inference('s_sup+', [status(thm)],
% 14.03/2.68 [zip_derived_cl1384, zip_derived_cl108])).
% 14.03/2.68 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_5])).
% 14.03/2.68 thf(zip_derived_cl1388, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ((cons @ (skaf83 @ sk1) @ nil) = (sk1))
% 14.03/2.68 | ((nil) = (sk1)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl1386, zip_derived_cl185])).
% 14.03/2.68 thf(zip_derived_cl432, plain, ((((sk1) != (nil)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('clc', [status(thm)], [zip_derived_cl430, zip_derived_cl376])).
% 14.03/2.68 thf(zip_derived_cl1391, plain,
% 14.03/2.68 ((((cons @ (skaf83 @ sk1) @ nil) = (sk1)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('clc', [status(thm)], [zip_derived_cl1388, zip_derived_cl432])).
% 14.03/2.68 thf(zip_derived_cl96, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause97])).
% 14.03/2.68 thf(zip_derived_cl1394, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ~ (ssItem @ (skaf83 @ sk1))
% 14.03/2.68 | ~ (ssList @ nil)
% 14.03/2.68 | ((hd @ sk1) = (skaf83 @ sk1)))),
% 14.03/2.68 inference('s_sup+', [status(thm)], [zip_derived_cl1391, zip_derived_cl96])).
% 14.03/2.68 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause12])).
% 14.03/2.68 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 14.03/2.68 inference('cnf', [status(esa)], [clause8])).
% 14.03/2.68 thf(zip_derived_cl1434, plain,
% 14.03/2.68 ((((nil) = (sk2)) | ((hd @ sk1) = (skaf83 @ sk1)))),
% 14.03/2.68 inference('demod', [status(thm)],
% 14.03/2.68 [zip_derived_cl1394, zip_derived_cl11, zip_derived_cl7])).
% 14.03/2.68 thf(zip_derived_cl1391, plain,
% 14.03/2.68 ((((cons @ (skaf83 @ sk1) @ nil) = (sk1)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('clc', [status(thm)], [zip_derived_cl1388, zip_derived_cl432])).
% 14.03/2.68 thf(zip_derived_cl119, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (~ (ssItem @ X0)
% 14.03/2.68 | ~ (ssList @ X1)
% 14.03/2.68 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause120])).
% 14.03/2.68 thf(zip_derived_cl1427, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((nil) = (sk2))
% 14.03/2.68 | ~ (ssItem @ (skaf83 @ sk1))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((app @ sk1 @ X0) = (cons @ (skaf83 @ sk1) @ X0)))),
% 14.03/2.68 inference('s_sup+', [status(thm)],
% 14.03/2.68 [zip_derived_cl1391, zip_derived_cl119])).
% 14.03/2.68 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause12])).
% 14.03/2.68 thf(zip_derived_cl1470, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((app @ sk1 @ X0) = (cons @ (skaf83 @ sk1) @ X0)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl1427, zip_derived_cl11])).
% 14.03/2.68 thf(zip_derived_cl1930, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((nil) = (sk2))
% 14.03/2.68 | ((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((app @ sk1 @ X0) = (cons @ (hd @ sk1) @ X0)))),
% 14.03/2.68 inference('s_sup+', [status(thm)],
% 14.03/2.68 [zip_derived_cl1434, zip_derived_cl1470])).
% 14.03/2.68 thf(zip_derived_cl1933, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((app @ sk1 @ X0) = (cons @ (hd @ sk1) @ X0))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl1930])).
% 14.03/2.68 thf(zip_derived_cl369, plain,
% 14.03/2.68 ((((hd @ sk1) = (hd @ sk2)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl368])).
% 14.03/2.68 thf(clause104, axiom,
% 14.03/2.68 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 14.03/2.68 ( ( nil ) = ( U ) ))).
% 14.03/2.68 thf(zip_derived_cl103, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (~ (ssList @ X0)
% 14.03/2.68 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 14.03/2.68 | ((nil) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause104])).
% 14.03/2.68 thf(zip_derived_cl371, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ sk2)
% 14.03/2.68 | ((cons @ (hd @ sk1) @ (tl @ sk2)) = (sk2))
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('s_sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl103])).
% 14.03/2.68 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_4])).
% 14.03/2.68 thf(zip_derived_cl377, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ((cons @ (hd @ sk1) @ (tl @ sk2)) = (sk2))
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl371, zip_derived_cl186])).
% 14.03/2.68 thf(zip_derived_cl378, plain,
% 14.03/2.68 ((((cons @ (hd @ sk1) @ (tl @ sk2)) = (sk2)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl377])).
% 14.03/2.68 thf(zip_derived_cl3671, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ (tl @ sk2))
% 14.03/2.68 | ((app @ sk1 @ (tl @ sk2)) = (sk2))
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('s_sup+', [status(thm)],
% 14.03/2.68 [zip_derived_cl1933, zip_derived_cl378])).
% 14.03/2.68 thf(zip_derived_cl3734, plain,
% 14.03/2.68 ((((app @ sk1 @ (tl @ sk2)) = (sk2))
% 14.03/2.68 | ~ (ssList @ (tl @ sk2))
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl3671])).
% 14.03/2.68 thf(zip_derived_cl3898, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ sk2)
% 14.03/2.68 | ((app @ sk1 @ (tl @ sk2)) = (sk2))
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl3734])).
% 14.03/2.68 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_4])).
% 14.03/2.68 thf(zip_derived_cl3899, plain,
% 14.03/2.68 ((((nil) = (sk2)) | ((app @ sk1 @ (tl @ sk2)) = (sk2)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl3898, zip_derived_cl186])).
% 14.03/2.68 thf(zip_derived_cl3900, plain,
% 14.03/2.68 ((((app @ sk1 @ (tl @ sk2)) = (sk2)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl3899])).
% 14.03/2.68 thf(zip_derived_cl1470, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((app @ sk1 @ X0) = (cons @ (skaf83 @ sk1) @ X0)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl1427, zip_derived_cl11])).
% 14.03/2.68 thf(zip_derived_cl96, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause97])).
% 14.03/2.68 thf(zip_derived_cl1889, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (~ (ssList @ X0)
% 14.03/2.68 | ((nil) = (sk2))
% 14.03/2.68 | ~ (ssItem @ (skaf83 @ sk1))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((hd @ (app @ sk1 @ X0)) = (skaf83 @ sk1)))),
% 14.03/2.68 inference('s_sup+', [status(thm)], [zip_derived_cl1470, zip_derived_cl96])).
% 14.03/2.68 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause12])).
% 14.03/2.68 thf(zip_derived_cl1938, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (~ (ssList @ X0)
% 14.03/2.68 | ((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((hd @ (app @ sk1 @ X0)) = (skaf83 @ sk1)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl1889, zip_derived_cl11])).
% 14.03/2.68 thf(zip_derived_cl1939, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((hd @ (app @ sk1 @ X0)) = (skaf83 @ sk1))
% 14.03/2.68 | ((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ X0))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl1938])).
% 14.03/2.68 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause12])).
% 14.03/2.68 thf(zip_derived_cl2289, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (~ (ssList @ X0)
% 14.03/2.68 | ((nil) = (sk2))
% 14.03/2.68 | (ssItem @ (hd @ (app @ sk1 @ X0))))),
% 14.03/2.68 inference('s_sup+', [status(thm)], [zip_derived_cl1939, zip_derived_cl11])).
% 14.03/2.68 thf(zip_derived_cl3927, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ (tl @ sk2))
% 14.03/2.68 | ((nil) = (sk2))
% 14.03/2.68 | (ssItem @ (hd @ sk2)))),
% 14.03/2.68 inference('s_sup+', [status(thm)],
% 14.03/2.68 [zip_derived_cl3900, zip_derived_cl2289])).
% 14.03/2.68 thf(zip_derived_cl3959, plain,
% 14.03/2.68 (( (ssItem @ (hd @ sk2)) | ~ (ssList @ (tl @ sk2)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl3927])).
% 14.03/2.68 thf(zip_derived_cl3979, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ sk2)
% 14.03/2.68 | (ssItem @ (hd @ sk2))
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl3959])).
% 14.03/2.68 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_4])).
% 14.03/2.68 thf(zip_derived_cl3981, plain,
% 14.03/2.68 ((((nil) = (sk2)) | (ssItem @ (hd @ sk2)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl3979, zip_derived_cl186])).
% 14.03/2.68 thf(zip_derived_cl3982, plain, (( (ssItem @ (hd @ sk2)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl3981])).
% 14.03/2.68 thf(zip_derived_cl4275, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((app @ sk1 @ X0) = (cons @ (hd @ sk2) @ X0))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('clc', [status(thm)], [zip_derived_cl523, zip_derived_cl3982])).
% 14.03/2.68 thf(zip_derived_cl108, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (~ (ssList @ X0)
% 14.03/2.68 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 14.03/2.68 | ((nil) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause109])).
% 14.03/2.68 thf(zip_derived_cl96, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause97])).
% 14.03/2.68 thf(zip_derived_cl384, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((nil) = (X0))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ~ (ssItem @ (skaf83 @ X0))
% 14.03/2.68 | ~ (ssList @ (skaf82 @ X0))
% 14.03/2.68 | ((hd @ X0) = (skaf83 @ X0)))),
% 14.03/2.68 inference('s_sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl96])).
% 14.03/2.68 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause12])).
% 14.03/2.68 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause13])).
% 14.03/2.68 thf(zip_derived_cl389, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((nil) = (X0)) | ~ (ssList @ X0) | ((hd @ X0) = (skaf83 @ X0)))),
% 14.03/2.68 inference('demod', [status(thm)],
% 14.03/2.68 [zip_derived_cl384, zip_derived_cl11, zip_derived_cl12])).
% 14.03/2.68 thf(zip_derived_cl108, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (~ (ssList @ X0)
% 14.03/2.68 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 14.03/2.68 | ((nil) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause109])).
% 14.03/2.68 thf(zip_derived_cl569, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (~ (ssList @ X0)
% 14.03/2.68 | ((nil) = (X0))
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((cons @ (hd @ X0) @ (skaf82 @ X0)) = (X0))
% 14.03/2.68 | ((nil) = (X0)))),
% 14.03/2.68 inference('s_sup+', [status(thm)], [zip_derived_cl389, zip_derived_cl108])).
% 14.03/2.68 thf(zip_derived_cl570, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((cons @ (hd @ X0) @ (skaf82 @ X0)) = (X0))
% 14.03/2.68 | ((nil) = (X0))
% 14.03/2.68 | ~ (ssList @ X0))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl569])).
% 14.03/2.68 thf(zip_derived_cl5257, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ (skaf82 @ sk2))
% 14.03/2.68 | ((app @ sk1 @ (skaf82 @ sk2)) = (sk2))
% 14.03/2.68 | ((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ sk2))),
% 14.03/2.68 inference('s_sup+', [status(thm)],
% 14.03/2.68 [zip_derived_cl4275, zip_derived_cl570])).
% 14.03/2.68 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause13])).
% 14.03/2.68 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_4])).
% 14.03/2.68 thf(zip_derived_cl5268, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ((app @ sk1 @ (skaf82 @ sk2)) = (sk2))
% 14.03/2.68 | ((nil) = (sk2)))),
% 14.03/2.68 inference('demod', [status(thm)],
% 14.03/2.68 [zip_derived_cl5257, zip_derived_cl12, zip_derived_cl186])).
% 14.03/2.68 thf(zip_derived_cl5269, plain,
% 14.03/2.68 ((((app @ sk1 @ (skaf82 @ sk2)) = (sk2)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl5268])).
% 14.03/2.68 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 14.03/2.68 thf(zip_derived_cl73, plain,
% 14.03/2.68 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause74])).
% 14.03/2.68 thf(clause173, axiom,
% 14.03/2.68 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 14.03/2.68 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 14.03/2.68 ( segmentP @ X @ V ))).
% 14.03/2.68 thf(zip_derived_cl172, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.03/2.68 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 14.03/2.68 | ~ (ssList @ X3)
% 14.03/2.68 | ~ (ssList @ X1)
% 14.03/2.68 | ~ (ssList @ X2)
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | (segmentP @ X0 @ X2))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause173])).
% 14.03/2.68 thf(zip_derived_cl1069, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.03/2.68 (~ (ssList @ X0)
% 14.03/2.68 | ((app @ X0 @ X2) != (X1))
% 14.03/2.68 | ~ (ssList @ X2)
% 14.03/2.68 | ~ (ssList @ nil)
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ~ (ssList @ X1)
% 14.03/2.68 | (segmentP @ X1 @ X0))),
% 14.03/2.68 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl172])).
% 14.03/2.68 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 14.03/2.68 inference('cnf', [status(esa)], [clause8])).
% 14.03/2.68 thf(zip_derived_cl1076, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.03/2.68 (~ (ssList @ X0)
% 14.03/2.68 | ((app @ X0 @ X2) != (X1))
% 14.03/2.68 | ~ (ssList @ X2)
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ~ (ssList @ X1)
% 14.03/2.68 | (segmentP @ X1 @ X0))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl1069, zip_derived_cl7])).
% 14.03/2.68 thf(zip_derived_cl1077, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.03/2.68 ( (segmentP @ X1 @ X0)
% 14.03/2.68 | ~ (ssList @ X1)
% 14.03/2.68 | ~ (ssList @ X2)
% 14.03/2.68 | ((app @ X0 @ X2) != (X1))
% 14.03/2.68 | ~ (ssList @ X0))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl1076])).
% 14.03/2.68 thf(zip_derived_cl16563, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((nil) = (sk2))
% 14.03/2.68 | (segmentP @ X0 @ sk1)
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ~ (ssList @ (skaf82 @ sk2))
% 14.03/2.68 | ((sk2) != (X0))
% 14.03/2.68 | ~ (ssList @ sk1))),
% 14.03/2.68 inference('s_sup-', [status(thm)],
% 14.03/2.68 [zip_derived_cl5269, zip_derived_cl1077])).
% 14.03/2.68 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause13])).
% 14.03/2.68 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_5])).
% 14.03/2.68 thf(zip_derived_cl16613, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (((nil) = (sk2))
% 14.03/2.68 | (segmentP @ X0 @ sk1)
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ((sk2) != (X0)))),
% 14.03/2.68 inference('demod', [status(thm)],
% 14.03/2.68 [zip_derived_cl16563, zip_derived_cl12, zip_derived_cl185])).
% 14.03/2.68 thf(zip_derived_cl16666, plain,
% 14.03/2.68 ((~ (ssList @ sk2) | (segmentP @ sk2 @ sk1) | ((nil) = (sk2)))),
% 14.03/2.68 inference('eq_res', [status(thm)], [zip_derived_cl16613])).
% 14.03/2.68 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_4])).
% 14.03/2.68 thf(zip_derived_cl16667, plain,
% 14.03/2.68 (( (segmentP @ sk2 @ sk1) | ((nil) = (sk2)))),
% 14.03/2.68 inference('demod', [status(thm)],
% 14.03/2.68 [zip_derived_cl16666, zip_derived_cl186])).
% 14.03/2.68 thf(zip_derived_cl75, plain,
% 14.03/2.68 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause76])).
% 14.03/2.68 thf(zip_derived_cl320, plain,
% 14.03/2.68 ((((sk1) = (cons @ (hd @ sk2) @ nil)) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl319])).
% 14.03/2.68 thf(zip_derived_cl85, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause86])).
% 14.03/2.68 thf(clause116, axiom,
% 14.03/2.68 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 14.03/2.68 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 14.03/2.68 thf(zip_derived_cl115, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (((cons @ X1 @ nil) != (X0))
% 14.03/2.68 | ~ (ssItem @ X1)
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | (singletonP @ X0))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause116])).
% 14.03/2.68 thf(zip_derived_cl249, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 ( (singletonP @ (cons @ X0 @ nil))
% 14.03/2.68 | ~ (ssList @ (cons @ X0 @ nil))
% 14.03/2.68 | ~ (ssItem @ X0))),
% 14.03/2.68 inference('eq_res', [status(thm)], [zip_derived_cl115])).
% 14.03/2.68 thf(zip_derived_cl250, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (~ (ssList @ nil)
% 14.03/2.68 | ~ (ssItem @ X0)
% 14.03/2.68 | (singletonP @ (cons @ X0 @ nil))
% 14.03/2.68 | ~ (ssItem @ X0))),
% 14.03/2.68 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl249])).
% 14.03/2.68 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 14.03/2.68 inference('cnf', [status(esa)], [clause8])).
% 14.03/2.68 thf(zip_derived_cl251, plain,
% 14.03/2.68 (![X0 : $i]:
% 14.03/2.68 (~ (ssItem @ X0) | (singletonP @ (cons @ X0 @ nil)) | ~ (ssItem @ X0))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl250, zip_derived_cl7])).
% 14.03/2.68 thf(zip_derived_cl252, plain,
% 14.03/2.68 (![X0 : $i]: ( (singletonP @ (cons @ X0 @ nil)) | ~ (ssItem @ X0))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl251])).
% 14.03/2.68 thf(zip_derived_cl332, plain,
% 14.03/2.68 ((((nil) = (sk2)) | (singletonP @ sk1) | ~ (ssItem @ (hd @ sk2)))),
% 14.03/2.68 inference('s_sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl252])).
% 14.03/2.68 thf(zip_derived_cl361, plain,
% 14.03/2.68 ((((nil) = (sk2))
% 14.03/2.68 | ~ (ssList @ sk2)
% 14.03/2.68 | ((nil) = (sk2))
% 14.03/2.68 | (singletonP @ sk1))),
% 14.03/2.68 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl332])).
% 14.03/2.68 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_4])).
% 14.03/2.68 thf(zip_derived_cl362, plain,
% 14.03/2.68 ((((nil) = (sk2)) | ((nil) = (sk2)) | (singletonP @ sk1))),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl361, zip_derived_cl186])).
% 14.03/2.68 thf(zip_derived_cl363, plain, (( (singletonP @ sk1) | ((nil) = (sk2)))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl362])).
% 14.03/2.68 thf(co1_12, conjecture,
% 14.03/2.68 (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( segmentP @ sk2 @ sk1 ) ) |
% 14.03/2.68 ( ~( singletonP @ sk1 ) ) ))).
% 14.03/2.68 thf(zf_stmt_6, negated_conjecture,
% 14.03/2.68 (( ~( neq @ sk4 @ nil ) ) | ( ~( segmentP @ sk2 @ sk1 ) ) |
% 14.03/2.68 ( ~( singletonP @ sk1 ) )),
% 14.03/2.68 inference('cnf.neg', [status(esa)], [co1_12])).
% 14.03/2.68 thf(zip_derived_cl196, plain,
% 14.03/2.68 ((~ (neq @ sk4 @ nil) | ~ (segmentP @ sk2 @ sk1) | ~ (singletonP @ sk1))),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_6])).
% 14.03/2.68 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_2])).
% 14.03/2.68 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 14.03/2.68 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.03/2.68 thf(zip_derived_cl199, plain,
% 14.03/2.68 ((~ (segmentP @ sk2 @ sk1) | ~ (singletonP @ sk1))),
% 14.03/2.68 inference('demod', [status(thm)],
% 14.03/2.68 [zip_derived_cl196, zip_derived_cl189, zip_derived_cl191])).
% 14.03/2.68 thf(zip_derived_cl365, plain, ((((nil) = (sk2)) | ~ (segmentP @ sk2 @ sk1))),
% 14.03/2.68 inference('s_sup-', [status(thm)], [zip_derived_cl363, zip_derived_cl199])).
% 14.03/2.68 thf(zip_derived_cl16668, plain, (((nil) = (sk2))),
% 14.03/2.68 inference('clc', [status(thm)], [zip_derived_cl16667, zip_derived_cl365])).
% 14.03/2.68 thf(zip_derived_cl16671, plain, ( (neq @ nil @ nil)),
% 14.03/2.68 inference('demod', [status(thm)],
% 14.03/2.68 [zip_derived_cl191, zip_derived_cl16668])).
% 14.03/2.68 thf(clause115, axiom,
% 14.03/2.68 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 14.03/2.68 ( ~( ssList @ U ) ))).
% 14.03/2.68 thf(zip_derived_cl114, plain,
% 14.03/2.68 (![X0 : $i, X1 : $i]:
% 14.03/2.68 (((X1) != (X0))
% 14.03/2.68 | ~ (neq @ X1 @ X0)
% 14.03/2.68 | ~ (ssList @ X0)
% 14.03/2.68 | ~ (ssList @ X1))),
% 14.03/2.68 inference('cnf', [status(esa)], [clause115])).
% 14.03/2.68 thf(zip_derived_cl212, plain,
% 14.03/2.68 (![X0 : $i]: (~ (ssList @ X0) | ~ (ssList @ X0) | ~ (neq @ X0 @ X0))),
% 14.03/2.68 inference('eq_res', [status(thm)], [zip_derived_cl114])).
% 14.03/2.68 thf(zip_derived_cl213, plain,
% 14.03/2.68 (![X0 : $i]: (~ (neq @ X0 @ X0) | ~ (ssList @ X0))),
% 14.03/2.68 inference('simplify', [status(thm)], [zip_derived_cl212])).
% 14.03/2.68 thf(zip_derived_cl16682, plain, (~ (ssList @ nil)),
% 14.03/2.68 inference('s_sup-', [status(thm)],
% 14.03/2.68 [zip_derived_cl16671, zip_derived_cl213])).
% 14.03/2.68 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 14.03/2.68 inference('cnf', [status(esa)], [clause8])).
% 14.03/2.68 thf(zip_derived_cl16684, plain, ($false),
% 14.03/2.68 inference('demod', [status(thm)], [zip_derived_cl16682, zip_derived_cl7])).
% 14.03/2.68
% 14.03/2.68 % SZS output end Refutation
% 14.03/2.68
% 14.03/2.68
% 14.03/2.68 % Terminating...
% 14.74/2.79 % Runner terminated.
% 14.74/2.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------