TSTP Solution File: SWC308-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC308-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7eC61ngNAn true
% Computer : n001.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 21:30:38 EDT 2023
% Result : Unsatisfiable 6.64s 1.58s
% Output : Refutation 6.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC308-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7eC61ngNAn true
% 0.14/0.36 % Computer : n001.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 16:22:36 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.64/1.58 % Solved by fo/fo6_bce.sh.
% 6.64/1.58 % BCE start: 195
% 6.64/1.58 % BCE eliminated: 0
% 6.64/1.58 % PE start: 195
% 6.64/1.58 logic: eq
% 6.64/1.58 % PE eliminated: 7
% 6.64/1.58 % done 486 iterations in 0.830s
% 6.64/1.58 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.64/1.58 % SZS output start Refutation
% 6.64/1.58 thf(nil_type, type, nil: $i).
% 6.64/1.58 thf(cons_type, type, cons: $i > $i > $i).
% 6.64/1.58 thf(sk2_type, type, sk2: $i).
% 6.64/1.58 thf(sk4_type, type, sk4: $i).
% 6.64/1.58 thf(tl_type, type, tl: $i > $i).
% 6.64/1.58 thf(hd_type, type, hd: $i > $i).
% 6.64/1.58 thf(ssItem_type, type, ssItem: $i > $o).
% 6.64/1.58 thf(sk3_type, type, sk3: $i).
% 6.64/1.58 thf(neq_type, type, neq: $i > $i > $o).
% 6.64/1.58 thf(app_type, type, app: $i > $i > $i).
% 6.64/1.58 thf(ssList_type, type, ssList: $i > $o).
% 6.64/1.58 thf(sk1_type, type, sk1: $i).
% 6.64/1.58 thf(clause76, axiom,
% 6.64/1.58 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 6.64/1.58 thf(zip_derived_cl75, plain,
% 6.64/1.58 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 6.64/1.58 inference('cnf', [status(esa)], [clause76])).
% 6.64/1.58 thf(clause104, axiom,
% 6.64/1.58 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 6.64/1.58 ( ( nil ) = ( U ) ))).
% 6.64/1.58 thf(zip_derived_cl103, plain,
% 6.64/1.58 (![X0 : $i]:
% 6.64/1.58 (~ (ssList @ X0)
% 6.64/1.58 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 6.64/1.58 | ((nil) = (X0)))),
% 6.64/1.58 inference('cnf', [status(esa)], [clause104])).
% 6.64/1.58 thf(clause86, axiom,
% 6.64/1.58 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 6.64/1.58 thf(zip_derived_cl85, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i]:
% 6.64/1.58 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.64/1.58 inference('cnf', [status(esa)], [clause86])).
% 6.64/1.58 thf(clause75, axiom,
% 6.64/1.58 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 6.64/1.58 thf(zip_derived_cl74, plain,
% 6.64/1.58 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 6.64/1.58 inference('cnf', [status(esa)], [clause75])).
% 6.64/1.58 thf(clause120, axiom,
% 6.64/1.58 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 6.64/1.58 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 6.64/1.58 thf(zip_derived_cl119, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i]:
% 6.64/1.58 (~ (ssItem @ X0)
% 6.64/1.58 | ~ (ssList @ X1)
% 6.64/1.58 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 6.64/1.58 inference('cnf', [status(esa)], [clause120])).
% 6.64/1.58 thf(co1_9, conjecture,
% 6.64/1.58 (~( ( ( app @ ( cons @ A @ nil ) @ B ) != ( sk4 ) ) |
% 6.64/1.58 ( ( app @ B @ ( cons @ A @ nil ) ) = ( sk3 ) ) | ( ~( ssList @ B ) ) |
% 6.64/1.58 ( ~( ssItem @ A ) ) ))).
% 6.64/1.58 thf(zf_stmt_0, negated_conjecture,
% 6.64/1.58 (( ( app @ ( cons @ A @ nil ) @ B ) != ( sk4 ) ) |
% 6.64/1.58 ( ( app @ B @ ( cons @ A @ nil ) ) = ( sk3 ) ) | ( ~( ssList @ B ) ) |
% 6.64/1.58 ( ~( ssItem @ A ) )),
% 6.64/1.58 inference('cnf.neg', [status(esa)], [co1_9])).
% 6.64/1.58 thf(zip_derived_cl193, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i]:
% 6.64/1.58 (((app @ (cons @ X0 @ nil) @ X1) != (sk4))
% 6.64/1.58 | ((app @ X1 @ (cons @ X0 @ nil)) = (sk3))
% 6.64/1.58 | ~ (ssList @ X1)
% 6.64/1.58 | ~ (ssItem @ X0))),
% 6.64/1.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.64/1.58 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 6.64/1.58 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 6.64/1.58 inference('cnf.neg', [status(esa)], [co1_5])).
% 6.64/1.58 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 6.64/1.58 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.64/1.58 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 6.64/1.58 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 6.64/1.58 inference('cnf.neg', [status(esa)], [co1_6])).
% 6.64/1.58 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 6.64/1.58 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.64/1.58 thf(zip_derived_cl1510, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i]:
% 6.64/1.58 (((app @ (cons @ X0 @ nil) @ X1) != (sk2))
% 6.64/1.58 | ((app @ X1 @ (cons @ X0 @ nil)) = (sk1))
% 6.64/1.58 | ~ (ssList @ X1)
% 6.64/1.58 | ~ (ssItem @ X0))),
% 6.64/1.58 inference('demod', [status(thm)],
% 6.64/1.58 [zip_derived_cl193, zip_derived_cl189, zip_derived_cl190])).
% 6.64/1.58 thf(zip_derived_cl1660, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i]:
% 6.64/1.58 (~ (ssList @ X0)
% 6.64/1.58 | ~ (ssItem @ X1)
% 6.64/1.58 | ((cons @ X1 @ X0) != (sk2))
% 6.64/1.58 | ((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 6.64/1.58 | ~ (ssList @ X0)
% 6.64/1.58 | ~ (ssItem @ X1))),
% 6.64/1.58 inference('s_sup-', [status(thm)],
% 6.64/1.58 [zip_derived_cl119, zip_derived_cl1510])).
% 6.64/1.58 thf(zip_derived_cl1669, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i]:
% 6.64/1.58 (((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 6.64/1.58 | ((cons @ X1 @ X0) != (sk2))
% 6.64/1.58 | ~ (ssItem @ X1)
% 6.64/1.58 | ~ (ssList @ X0))),
% 6.64/1.58 inference('simplify', [status(thm)], [zip_derived_cl1660])).
% 6.64/1.58 thf(zip_derived_cl74, plain,
% 6.64/1.58 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 6.64/1.58 inference('cnf', [status(esa)], [clause75])).
% 6.64/1.58 thf(zip_derived_cl75, plain,
% 6.64/1.58 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 6.64/1.58 inference('cnf', [status(esa)], [clause76])).
% 6.64/1.58 thf(clause100, axiom,
% 6.64/1.58 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 6.64/1.58 ( ( V ) = ( U ) ))).
% 6.64/1.58 thf(zip_derived_cl99, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i]:
% 6.64/1.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 6.64/1.58 inference('cnf', [status(esa)], [clause100])).
% 6.64/1.58 thf(co1_8, conjecture,
% 6.64/1.58 (~( ( ( hd @ sk2 ) != ( D ) ) | ( ~( ssList @ A ) ) |
% 6.64/1.58 ( ~( ssItem @ D ) ) | ( ~( ssList @ C ) ) |
% 6.64/1.58 ( ( app @ B @ C ) != ( A ) ) | ( ( tl @ sk2 ) != ( B ) ) |
% 6.64/1.58 ( ~( neq @ nil @ sk2 ) ) | ( ( cons @ D @ nil ) != ( C ) ) |
% 6.64/1.58 ( ~( ssList @ B ) ) | ( ( sk1 ) != ( A ) ) ))).
% 6.64/1.58 thf(zf_stmt_3, negated_conjecture,
% 6.64/1.58 (( ( hd @ sk2 ) != ( D ) ) | ( ~( ssList @ A ) ) | ( ~( ssItem @ D ) ) |
% 6.64/1.58 ( ~( ssList @ C ) ) | ( ( app @ B @ C ) != ( A ) ) |
% 6.64/1.58 ( ( tl @ sk2 ) != ( B ) ) | ( ~( neq @ nil @ sk2 ) ) |
% 6.64/1.58 ( ( cons @ D @ nil ) != ( C ) ) | ( ~( ssList @ B ) ) |
% 6.64/1.58 ( ( sk1 ) != ( A ) )),
% 6.64/1.58 inference('cnf.neg', [status(esa)], [co1_8])).
% 6.64/1.58 thf(zip_derived_cl192, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.64/1.58 (((hd @ sk2) != (X0))
% 6.64/1.58 | ~ (ssList @ X1)
% 6.64/1.58 | ~ (ssItem @ X0)
% 6.64/1.58 | ~ (ssList @ X2)
% 6.64/1.58 | ((app @ X3 @ X2) != (X1))
% 6.64/1.58 | ((tl @ sk2) != (X3))
% 6.64/1.58 | ~ (neq @ nil @ sk2)
% 6.64/1.58 | ((cons @ X0 @ nil) != (X2))
% 6.64/1.58 | ~ (ssList @ X3)
% 6.64/1.58 | ((sk1) != (X1)))),
% 6.64/1.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.64/1.58 thf(zip_derived_cl1384, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.64/1.58 (((nil) = (sk2))
% 6.64/1.58 | ~ (ssList @ nil)
% 6.64/1.58 | ~ (ssList @ sk2)
% 6.64/1.58 | ((sk1) != (X1))
% 6.64/1.58 | ~ (ssList @ X3)
% 6.64/1.58 | ((cons @ X0 @ nil) != (X2))
% 6.64/1.58 | ((tl @ sk2) != (X3))
% 6.64/1.58 | ((app @ X3 @ X2) != (X1))
% 6.64/1.58 | ~ (ssList @ X2)
% 6.64/1.58 | ~ (ssItem @ X0)
% 6.64/1.58 | ~ (ssList @ X1)
% 6.64/1.58 | ((hd @ sk2) != (X0)))),
% 6.64/1.58 inference('dp-resolution', [status(thm)],
% 6.64/1.58 [zip_derived_cl99, zip_derived_cl192])).
% 6.64/1.58 thf(clause8, axiom, (ssList @ nil)).
% 6.64/1.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 6.64/1.58 inference('cnf', [status(esa)], [clause8])).
% 6.64/1.58 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 6.64/1.58 thf(zf_stmt_4, negated_conjecture, (ssList @ sk2),
% 6.64/1.58 inference('cnf.neg', [status(esa)], [co1_2])).
% 6.64/1.58 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 6.64/1.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.64/1.58 thf(zip_derived_cl5001, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.64/1.58 (((nil) = (sk2))
% 6.64/1.58 | ((sk1) != (X1))
% 6.64/1.58 | ~ (ssList @ X3)
% 6.64/1.58 | ((cons @ X0 @ nil) != (X2))
% 6.64/1.58 | ((tl @ sk2) != (X3))
% 6.64/1.58 | ((app @ X3 @ X2) != (X1))
% 6.64/1.58 | ~ (ssList @ X2)
% 6.64/1.58 | ~ (ssItem @ X0)
% 6.64/1.58 | ~ (ssList @ X1)
% 6.64/1.58 | ((hd @ sk2) != (X0)))),
% 6.64/1.58 inference('demod', [status(thm)],
% 6.64/1.58 [zip_derived_cl1384, zip_derived_cl7, zip_derived_cl186])).
% 6.64/1.58 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 6.64/1.58 thf(zf_stmt_5, negated_conjecture, (neq @ sk2 @ nil),
% 6.64/1.58 inference('cnf.neg', [status(esa)], [co1_7])).
% 6.64/1.58 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 6.64/1.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.64/1.58 thf(clause115, axiom,
% 6.64/1.58 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 6.64/1.58 ( ~( ssList @ U ) ))).
% 6.64/1.58 thf(zip_derived_cl114, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i]:
% 6.64/1.58 (((X1) != (X0))
% 6.64/1.58 | ~ (neq @ X1 @ X0)
% 6.64/1.58 | ~ (ssList @ X0)
% 6.64/1.58 | ~ (ssList @ X1))),
% 6.64/1.58 inference('cnf', [status(esa)], [clause115])).
% 6.64/1.58 thf(zip_derived_cl1388, plain,
% 6.64/1.58 ((~ (ssList @ sk2) | ~ (ssList @ nil) | ((sk2) != (nil)))),
% 6.64/1.58 inference('dp-resolution', [status(thm)],
% 6.64/1.58 [zip_derived_cl191, zip_derived_cl114])).
% 6.64/1.58 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 6.64/1.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.64/1.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 6.64/1.58 inference('cnf', [status(esa)], [clause8])).
% 6.64/1.58 thf(zip_derived_cl1396, plain, (((sk2) != (nil))),
% 6.64/1.58 inference('demod', [status(thm)],
% 6.64/1.58 [zip_derived_cl1388, zip_derived_cl186, zip_derived_cl7])).
% 6.64/1.58 thf(zip_derived_cl5002, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.64/1.58 (((sk1) != (X1))
% 6.64/1.58 | ~ (ssList @ X3)
% 6.64/1.58 | ((cons @ X0 @ nil) != (X2))
% 6.64/1.58 | ((tl @ sk2) != (X3))
% 6.64/1.58 | ((app @ X3 @ X2) != (X1))
% 6.64/1.58 | ~ (ssList @ X2)
% 6.64/1.58 | ~ (ssItem @ X0)
% 6.64/1.58 | ~ (ssList @ X1)
% 6.64/1.58 | ((hd @ sk2) != (X0)))),
% 6.64/1.58 inference('simplify_reflect-', [status(thm)],
% 6.64/1.58 [zip_derived_cl5001, zip_derived_cl1396])).
% 6.64/1.58 thf(zip_derived_cl5003, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.64/1.58 (((hd @ sk2) != (X0))
% 6.64/1.58 | ~ (ssList @ sk1)
% 6.64/1.58 | ~ (ssItem @ X0)
% 6.64/1.58 | ~ (ssList @ X1)
% 6.64/1.58 | ((app @ X2 @ X1) != (sk1))
% 6.64/1.58 | ((tl @ sk2) != (X2))
% 6.64/1.58 | ((cons @ X0 @ nil) != (X1))
% 6.64/1.58 | ~ (ssList @ X2))),
% 6.64/1.58 inference('eq_res', [status(thm)], [zip_derived_cl5002])).
% 6.64/1.58 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 6.64/1.58 thf(zf_stmt_6, negated_conjecture, (ssList @ sk1),
% 6.64/1.58 inference('cnf.neg', [status(esa)], [co1_1])).
% 6.64/1.58 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 6.64/1.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 6.64/1.58 thf(zip_derived_cl5004, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.64/1.58 (((hd @ sk2) != (X0))
% 6.64/1.58 | ~ (ssItem @ X0)
% 6.64/1.58 | ~ (ssList @ X1)
% 6.64/1.58 | ((app @ X2 @ X1) != (sk1))
% 6.64/1.58 | ((tl @ sk2) != (X2))
% 6.64/1.58 | ((cons @ X0 @ nil) != (X1))
% 6.64/1.58 | ~ (ssList @ X2))),
% 6.64/1.58 inference('demod', [status(thm)], [zip_derived_cl5003, zip_derived_cl185])).
% 6.64/1.58 thf(zip_derived_cl5010, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i]:
% 6.64/1.58 (~ (ssList @ X0)
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (X1))
% 6.64/1.58 | ((tl @ sk2) != (X0))
% 6.64/1.58 | ((app @ X0 @ X1) != (sk1))
% 6.64/1.58 | ~ (ssList @ X1)
% 6.64/1.58 | ~ (ssItem @ (hd @ sk2)))),
% 6.64/1.58 inference('eq_res', [status(thm)], [zip_derived_cl5004])).
% 6.64/1.58 thf(zip_derived_cl5068, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i]:
% 6.64/1.58 (((nil) = (sk2))
% 6.64/1.58 | ~ (ssList @ sk2)
% 6.64/1.58 | ~ (ssList @ X0)
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (X1))
% 6.64/1.58 | ((tl @ sk2) != (X0))
% 6.64/1.58 | ((app @ X0 @ X1) != (sk1))
% 6.64/1.58 | ~ (ssList @ X1))),
% 6.64/1.58 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl5010])).
% 6.64/1.58 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 6.64/1.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.64/1.58 thf(zip_derived_cl5069, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i]:
% 6.64/1.58 (((nil) = (sk2))
% 6.64/1.58 | ~ (ssList @ X0)
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (X1))
% 6.64/1.58 | ((tl @ sk2) != (X0))
% 6.64/1.58 | ((app @ X0 @ X1) != (sk1))
% 6.64/1.58 | ~ (ssList @ X1))),
% 6.64/1.58 inference('demod', [status(thm)], [zip_derived_cl5068, zip_derived_cl186])).
% 6.64/1.58 thf(zip_derived_cl1396, plain, (((sk2) != (nil))),
% 6.64/1.58 inference('demod', [status(thm)],
% 6.64/1.58 [zip_derived_cl1388, zip_derived_cl186, zip_derived_cl7])).
% 6.64/1.58 thf(zip_derived_cl5070, plain,
% 6.64/1.58 (![X0 : $i, X1 : $i]:
% 6.64/1.58 (~ (ssList @ X0)
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (X1))
% 6.64/1.58 | ((tl @ sk2) != (X0))
% 6.64/1.58 | ((app @ X0 @ X1) != (sk1))
% 6.64/1.58 | ~ (ssList @ X1))),
% 6.64/1.58 inference('simplify_reflect-', [status(thm)],
% 6.64/1.58 [zip_derived_cl5069, zip_derived_cl1396])).
% 6.64/1.58 thf(zip_derived_cl5082, plain,
% 6.64/1.58 (![X0 : $i]:
% 6.64/1.58 (~ (ssList @ X0)
% 6.64/1.58 | ((app @ (tl @ sk2) @ X0) != (sk1))
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 6.64/1.58 | ~ (ssList @ (tl @ sk2)))),
% 6.64/1.58 inference('eq_res', [status(thm)], [zip_derived_cl5070])).
% 6.64/1.58 thf(zip_derived_cl5083, plain,
% 6.64/1.58 (![X0 : $i]:
% 6.64/1.58 (((nil) = (sk2))
% 6.64/1.58 | ~ (ssList @ sk2)
% 6.64/1.58 | ~ (ssList @ X0)
% 6.64/1.58 | ((app @ (tl @ sk2) @ X0) != (sk1))
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (X0)))),
% 6.64/1.58 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl5082])).
% 6.64/1.58 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 6.64/1.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.64/1.58 thf(zip_derived_cl5084, plain,
% 6.64/1.58 (![X0 : $i]:
% 6.64/1.58 (((nil) = (sk2))
% 6.64/1.58 | ~ (ssList @ X0)
% 6.64/1.58 | ((app @ (tl @ sk2) @ X0) != (sk1))
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (X0)))),
% 6.64/1.58 inference('demod', [status(thm)], [zip_derived_cl5083, zip_derived_cl186])).
% 6.64/1.58 thf(zip_derived_cl1396, plain, (((sk2) != (nil))),
% 6.64/1.58 inference('demod', [status(thm)],
% 6.64/1.58 [zip_derived_cl1388, zip_derived_cl186, zip_derived_cl7])).
% 6.64/1.58 thf(zip_derived_cl5085, plain,
% 6.64/1.58 (![X0 : $i]:
% 6.64/1.58 (~ (ssList @ X0)
% 6.64/1.58 | ((app @ (tl @ sk2) @ X0) != (sk1))
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (X0)))),
% 6.64/1.58 inference('simplify_reflect-', [status(thm)],
% 6.64/1.58 [zip_derived_cl5084, zip_derived_cl1396])).
% 6.64/1.58 thf(zip_derived_cl5089, plain,
% 6.64/1.58 (![X0 : $i]:
% 6.64/1.58 (~ (ssList @ (tl @ sk2))
% 6.64/1.58 | ~ (ssItem @ X0)
% 6.64/1.58 | ((cons @ X0 @ (tl @ sk2)) != (sk2))
% 6.64/1.58 | ~ (ssList @ (cons @ X0 @ nil))
% 6.64/1.58 | ((sk1) != (sk1))
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (cons @ X0 @ nil)))),
% 6.64/1.58 inference('s_sup-', [status(thm)],
% 6.64/1.58 [zip_derived_cl1669, zip_derived_cl5085])).
% 6.64/1.58 thf(zip_derived_cl5094, plain,
% 6.64/1.58 (![X0 : $i]:
% 6.64/1.58 (((cons @ (hd @ sk2) @ nil) != (cons @ X0 @ nil))
% 6.64/1.58 | ~ (ssList @ (cons @ X0 @ nil))
% 6.64/1.58 | ((cons @ X0 @ (tl @ sk2)) != (sk2))
% 6.64/1.58 | ~ (ssItem @ X0)
% 6.64/1.58 | ~ (ssList @ (tl @ sk2)))),
% 6.64/1.58 inference('simplify', [status(thm)], [zip_derived_cl5089])).
% 6.64/1.58 thf(zip_derived_cl5147, plain,
% 6.64/1.58 (![X0 : $i]:
% 6.64/1.58 (((nil) = (sk2))
% 6.64/1.58 | ~ (ssList @ sk2)
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (cons @ X0 @ nil))
% 6.64/1.58 | ~ (ssList @ (cons @ X0 @ nil))
% 6.64/1.58 | ((cons @ X0 @ (tl @ sk2)) != (sk2))
% 6.64/1.58 | ~ (ssItem @ X0))),
% 6.64/1.58 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl5094])).
% 6.64/1.58 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 6.64/1.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.64/1.58 thf(zip_derived_cl5148, plain,
% 6.64/1.58 (![X0 : $i]:
% 6.64/1.58 (((nil) = (sk2))
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (cons @ X0 @ nil))
% 6.64/1.58 | ~ (ssList @ (cons @ X0 @ nil))
% 6.64/1.58 | ((cons @ X0 @ (tl @ sk2)) != (sk2))
% 6.64/1.58 | ~ (ssItem @ X0))),
% 6.64/1.58 inference('demod', [status(thm)], [zip_derived_cl5147, zip_derived_cl186])).
% 6.64/1.58 thf(zip_derived_cl1396, plain, (((sk2) != (nil))),
% 6.64/1.58 inference('demod', [status(thm)],
% 6.64/1.58 [zip_derived_cl1388, zip_derived_cl186, zip_derived_cl7])).
% 6.64/1.58 thf(zip_derived_cl5149, plain,
% 6.64/1.58 (![X0 : $i]:
% 6.64/1.58 (((cons @ (hd @ sk2) @ nil) != (cons @ X0 @ nil))
% 6.64/1.58 | ~ (ssList @ (cons @ X0 @ nil))
% 6.64/1.58 | ((cons @ X0 @ (tl @ sk2)) != (sk2))
% 6.64/1.58 | ~ (ssItem @ X0))),
% 6.64/1.58 inference('simplify_reflect-', [status(thm)],
% 6.64/1.58 [zip_derived_cl5148, zip_derived_cl1396])).
% 6.64/1.58 thf(zip_derived_cl5150, plain,
% 6.64/1.58 (![X0 : $i]:
% 6.64/1.58 (~ (ssList @ nil)
% 6.64/1.58 | ~ (ssItem @ X0)
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (cons @ X0 @ nil))
% 6.64/1.58 | ((cons @ X0 @ (tl @ sk2)) != (sk2))
% 6.64/1.58 | ~ (ssItem @ X0))),
% 6.64/1.58 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl5149])).
% 6.64/1.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 6.64/1.58 inference('cnf', [status(esa)], [clause8])).
% 6.64/1.58 thf(zip_derived_cl5154, plain,
% 6.64/1.58 (![X0 : $i]:
% 6.64/1.58 (~ (ssItem @ X0)
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (cons @ X0 @ nil))
% 6.64/1.58 | ((cons @ X0 @ (tl @ sk2)) != (sk2))
% 6.64/1.58 | ~ (ssItem @ X0))),
% 6.64/1.58 inference('demod', [status(thm)], [zip_derived_cl5150, zip_derived_cl7])).
% 6.64/1.58 thf(zip_derived_cl5155, plain,
% 6.64/1.58 (![X0 : $i]:
% 6.64/1.58 (((cons @ X0 @ (tl @ sk2)) != (sk2))
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (cons @ X0 @ nil))
% 6.64/1.58 | ~ (ssItem @ X0))),
% 6.64/1.58 inference('simplify', [status(thm)], [zip_derived_cl5154])).
% 6.64/1.58 thf(zip_derived_cl5161, plain,
% 6.64/1.58 ((((nil) = (sk2))
% 6.64/1.58 | ~ (ssList @ sk2)
% 6.64/1.58 | ((sk2) != (sk2))
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (cons @ (hd @ sk2) @ nil))
% 6.64/1.58 | ~ (ssItem @ (hd @ sk2)))),
% 6.64/1.58 inference('s_sup-', [status(thm)],
% 6.64/1.58 [zip_derived_cl103, zip_derived_cl5155])).
% 6.64/1.58 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 6.64/1.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.64/1.58 thf(zip_derived_cl5162, plain,
% 6.64/1.58 ((((nil) = (sk2))
% 6.64/1.58 | ((sk2) != (sk2))
% 6.64/1.58 | ((cons @ (hd @ sk2) @ nil) != (cons @ (hd @ sk2) @ nil))
% 6.64/1.58 | ~ (ssItem @ (hd @ sk2)))),
% 6.64/1.58 inference('demod', [status(thm)], [zip_derived_cl5161, zip_derived_cl186])).
% 6.64/1.58 thf(zip_derived_cl5163, plain, ((~ (ssItem @ (hd @ sk2)) | ((nil) = (sk2)))),
% 6.64/1.58 inference('simplify', [status(thm)], [zip_derived_cl5162])).
% 6.64/1.58 thf(zip_derived_cl1396, plain, (((sk2) != (nil))),
% 6.64/1.58 inference('demod', [status(thm)],
% 6.64/1.58 [zip_derived_cl1388, zip_derived_cl186, zip_derived_cl7])).
% 6.64/1.58 thf(zip_derived_cl5164, plain, (~ (ssItem @ (hd @ sk2))),
% 6.64/1.58 inference('simplify_reflect-', [status(thm)],
% 6.64/1.58 [zip_derived_cl5163, zip_derived_cl1396])).
% 6.64/1.58 thf(zip_derived_cl5176, plain, ((((nil) = (sk2)) | ~ (ssList @ sk2))),
% 6.64/1.58 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl5164])).
% 6.64/1.58 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 6.64/1.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.64/1.58 thf(zip_derived_cl5177, plain, (((nil) = (sk2))),
% 6.64/1.58 inference('demod', [status(thm)], [zip_derived_cl5176, zip_derived_cl186])).
% 6.64/1.58 thf(zip_derived_cl1396, plain, (((sk2) != (nil))),
% 6.64/1.58 inference('demod', [status(thm)],
% 6.64/1.58 [zip_derived_cl1388, zip_derived_cl186, zip_derived_cl7])).
% 6.64/1.58 thf(zip_derived_cl5178, plain, ($false),
% 6.64/1.58 inference('simplify_reflect-', [status(thm)],
% 6.64/1.58 [zip_derived_cl5177, zip_derived_cl1396])).
% 6.64/1.58
% 6.64/1.58 % SZS output end Refutation
% 6.64/1.58
% 6.64/1.58
% 6.64/1.58 % Terminating...
% 7.46/1.68 % Runner terminated.
% 7.46/1.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------