%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC005-1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.S4mr9jHZw6 true
% Computer : n005.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 Oct 2 04:58:14 PM UTC 2025
% Result : Unsatisfiable 0.59s 1.01s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC005-1 : TPTP v9.2.0. Released v2.4.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.S4mr9jHZw6 true
% 0.14/0.33 % Computer : n005.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Oct 1 17:12:38 EDT 2025
% 0.14/0.33 % CPUTime :
% 0.14/0.33 % Running portfolio for 300 s
% 0.14/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.33 % Number of cores: 8
% 0.14/0.33 % Python version: Python 3.6.8
% 0.14/0.34 % Running in FO mode
% 0.58/0.68 % Total configuration time : 435
% 0.58/0.68 % Estimated wc time : 1092
% 0.58/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/1.01 % Solved by fo/fo7.sh.
% 0.59/1.01 % done 140 iterations in 0.133s
% 0.59/1.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/1.01 % SZS output start Refutation
% 0.59/1.01 thf(nil_type, type, nil: $i).
% 0.59/1.01 thf(cons_type, type, cons: $i > $i > $i).
% 0.59/1.01 thf(sk2_type, type, sk2: $i).
% 0.59/1.01 thf(sk4_type, type, sk4: $i).
% 0.59/1.01 thf(tl_type, type, tl: $i > $i).
% 0.59/1.01 thf(hd_type, type, hd: $i > $i).
% 0.59/1.01 thf(ssItem_type, type, ssItem: $i > $o).
% 0.59/1.01 thf(sk3_type, type, sk3: $i).
% 0.59/1.01 thf(neq_type, type, neq: $i > $i > $o).
% 0.59/1.01 thf(app_type, type, app: $i > $i > $i).
% 0.59/1.01 thf(ssList_type, type, ssList: $i > $o).
% 0.59/1.01 thf(sk1_type, type, sk1: $i).
% 0.59/1.01 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 0.59/1.01 thf(zf_stmt_0, negated_conjecture, (neq @ sk2 @ nil),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.59/1.01 thf(zip_derived_cl40, plain, ( (neq @ sk2 @ nil)),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/1.01 thf(clause86, axiom,
% 0.59/1.01 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 0.59/1.01 thf(zip_derived_cl8, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 0.59/1.01 inference('cnf', [status(esa)], [clause86])).
% 0.59/1.01 thf(clause75, axiom,
% 0.59/1.01 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.59/1.01 thf(zip_derived_cl3, plain,
% 0.59/1.01 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 0.59/1.01 inference('cnf', [status(esa)], [clause75])).
% 0.59/1.01 thf(clause100, axiom,
% 0.59/1.01 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 0.59/1.01 ( ( V ) = ( U ) ))).
% 0.59/1.01 thf(zip_derived_cl13, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.59/1.01 inference('cnf', [status(esa)], [clause100])).
% 0.59/1.01 thf(co1_12, conjecture,
% 0.59/1.01 (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) |
% 0.59/1.01 ( ( tl @ sk4 ) != ( A ) ) | ( ( sk3 ) = ( A ) ) | ( ~( ssList @ A ) ) ))).
% 0.59/1.01 thf(zf_stmt_1, negated_conjecture,
% 0.59/1.01 (( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) |
% 0.59/1.01 ( ( tl @ sk4 ) != ( A ) ) | ( ( sk3 ) = ( A ) ) | ( ~( ssList @ A ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.59/1.01 thf(zip_derived_cl35, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 (~ (neq @ sk4 @ nil)
% 0.59/1.01 | ~ (neq @ nil @ sk4)
% 0.59/1.01 | ((tl @ sk4) != (X0))
% 0.59/1.01 | ((sk3) = (X0))
% 0.59/1.01 | ~ (ssList @ X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/1.01 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.59/1.01 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.59/1.01 thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/1.01 thf(zip_derived_cl40, plain, ( (neq @ sk2 @ nil)),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/1.01 thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/1.01 thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/1.01 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.59/1.01 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.59/1.01 thf(zip_derived_cl41, plain, (((sk1) = (sk3))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/1.01 thf(zip_derived_cl88, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 (~ (neq @ nil @ sk2)
% 0.59/1.01 | ((tl @ sk2) != (X0))
% 0.59/1.01 | ((sk1) = (X0))
% 0.59/1.01 | ~ (ssList @ X0))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl35, zip_derived_cl42, zip_derived_cl40,
% 0.59/1.01 zip_derived_cl42, zip_derived_cl42, zip_derived_cl41])).
% 0.59/1.01 thf(zip_derived_cl162, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 (((nil) = (sk2))
% 0.59/1.01 | ~ (ssList @ nil)
% 0.59/1.01 | ~ (ssList @ sk2)
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ((sk1) = (X0))
% 0.59/1.01 | ((tl @ sk2) != (X0)))),
% 0.59/1.01 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl88])).
% 0.59/1.01 thf(clause8, axiom, (ssList @ nil)).
% 0.59/1.01 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.59/1.01 inference('cnf', [status(esa)], [clause8])).
% 0.59/1.01 thf(co1_4, conjecture, (~( ssList @ sk4 ))).
% 0.59/1.01 thf(zf_stmt_4, negated_conjecture, (ssList @ sk4),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [co1_4])).
% 0.59/1.01 thf(zip_derived_cl43, plain, ( (ssList @ sk4)),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.59/1.01 thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/1.01 thf(zip_derived_cl51, plain, ( (ssList @ sk2)),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl42])).
% 0.59/1.01 thf(zip_derived_cl167, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 (((nil) = (sk2))
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ((sk1) = (X0))
% 0.59/1.01 | ((tl @ sk2) != (X0)))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl162, zip_derived_cl0, zip_derived_cl51])).
% 0.59/1.01 thf(zip_derived_cl176, plain,
% 0.59/1.01 ((((sk1) = (tl @ sk2)) | ~ (ssList @ (tl @ sk2)) | ((nil) = (sk2)))),
% 0.59/1.01 inference('eq_res', [status(thm)], [zip_derived_cl167])).
% 0.59/1.01 thf(zip_derived_cl177, plain,
% 0.59/1.01 ((((nil) = (sk2))
% 0.59/1.01 | ~ (ssList @ sk2)
% 0.59/1.01 | ((nil) = (sk2))
% 0.59/1.01 | ((sk1) = (tl @ sk2)))),
% 0.59/1.01 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl176])).
% 0.59/1.01 thf(zip_derived_cl51, plain, ( (ssList @ sk2)),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl42])).
% 0.59/1.01 thf(zip_derived_cl178, plain,
% 0.59/1.01 ((((nil) = (sk2)) | ((nil) = (sk2)) | ((sk1) = (tl @ sk2)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl177, zip_derived_cl51])).
% 0.59/1.01 thf(zip_derived_cl179, plain, ((((sk1) = (tl @ sk2)) | ((nil) = (sk2)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl178])).
% 0.59/1.01 thf(clause104, axiom,
% 0.59/1.01 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 0.59/1.01 ( ( nil ) = ( U ) ))).
% 0.59/1.01 thf(zip_derived_cl15, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 (~ (ssList @ X0)
% 0.59/1.01 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 0.59/1.01 | ((nil) = (X0)))),
% 0.59/1.01 inference('cnf', [status(esa)], [clause104])).
% 0.59/1.01 thf(zip_derived_cl197, plain,
% 0.59/1.01 ((((cons @ (hd @ sk2) @ sk1) = (sk2))
% 0.59/1.01 | ((nil) = (sk2))
% 0.59/1.01 | ((nil) = (sk2))
% 0.59/1.01 | ~ (ssList @ sk2))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl15])).
% 0.59/1.01 thf(zip_derived_cl51, plain, ( (ssList @ sk2)),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl42])).
% 0.59/1.01 thf(zip_derived_cl203, plain,
% 0.59/1.01 ((((cons @ (hd @ sk2) @ sk1) = (sk2)) | ((nil) = (sk2)) | ((nil) = (sk2)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl51])).
% 0.59/1.01 thf(zip_derived_cl204, plain,
% 0.59/1.01 ((((nil) = (sk2)) | ((cons @ (hd @ sk2) @ sk1) = (sk2)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl203])).
% 0.59/1.01 thf(clause120, axiom,
% 0.59/1.01 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 0.59/1.01 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 0.59/1.01 thf(zip_derived_cl20, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 (~ (ssItem @ X0)
% 0.59/1.01 | ~ (ssList @ X1)
% 0.59/1.01 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 0.59/1.01 inference('cnf', [status(esa)], [clause120])).
% 0.59/1.01 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 0.59/1.01 thf(zip_derived_cl2, plain,
% 0.59/1.01 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 0.59/1.01 inference('cnf', [status(esa)], [clause74])).
% 0.59/1.01 thf(zip_derived_cl2, plain,
% 0.59/1.01 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 0.59/1.01 inference('cnf', [status(esa)], [clause74])).
% 0.59/1.01 thf(zip_derived_cl13, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.59/1.01 inference('cnf', [status(esa)], [clause100])).
% 0.59/1.01 thf(co1_11, conjecture,
% 0.59/1.01 (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ B @ nil ) ) |
% 0.59/1.01 ( ( app @ A @ C ) != ( sk1 ) ) |
% 0.59/1.01 ( ( app @ ( app @ A @ B ) @ C ) != ( sk2 ) ) | ( ~( ssList @ C ) ) |
% 0.59/1.01 ( ~( ssList @ B ) ) | ( ~( ssList @ A ) ) ))).
% 0.59/1.01 thf(zf_stmt_5, negated_conjecture,
% 0.59/1.01 (( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ B @ nil ) ) |
% 0.59/1.01 ( ( app @ A @ C ) != ( sk1 ) ) |
% 0.59/1.01 ( ( app @ ( app @ A @ B ) @ C ) != ( sk2 ) ) | ( ~( ssList @ C ) ) |
% 0.59/1.01 ( ~( ssList @ B ) ) | ( ~( ssList @ A ) )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.59/1.01 thf(zip_derived_cl36, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 (~ (neq @ sk4 @ nil)
% 0.59/1.01 | ~ (neq @ X0 @ nil)
% 0.59/1.01 | ((app @ X1 @ X2) != (sk1))
% 0.59/1.01 | ((app @ (app @ X1 @ X0) @ X2) != (sk2))
% 0.59/1.01 | ~ (ssList @ X2)
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ~ (ssList @ X1))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.59/1.01 thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/1.01 thf(zip_derived_cl40, plain, ( (neq @ sk2 @ nil)),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/1.01 thf(zip_derived_cl74, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 (~ (neq @ X0 @ nil)
% 0.59/1.01 | ((app @ X1 @ X2) != (sk1))
% 0.59/1.01 | ((app @ (app @ X1 @ X0) @ X2) != (sk2))
% 0.59/1.01 | ~ (ssList @ X2)
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ~ (ssList @ X1))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl36, zip_derived_cl42, zip_derived_cl40])).
% 0.59/1.01 thf(zip_derived_cl161, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 (((X0) = (nil))
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ~ (ssList @ nil)
% 0.59/1.01 | ~ (ssList @ X1)
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ~ (ssList @ X2)
% 0.59/1.01 | ((app @ (app @ X1 @ X0) @ X2) != (sk2))
% 0.59/1.01 | ((app @ X1 @ X2) != (sk1)))),
% 0.59/1.01 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl74])).
% 0.59/1.01 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.59/1.01 inference('cnf', [status(esa)], [clause8])).
% 0.59/1.01 thf(zip_derived_cl165, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 (((X0) = (nil))
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ~ (ssList @ X1)
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ~ (ssList @ X2)
% 0.59/1.01 | ((app @ (app @ X1 @ X0) @ X2) != (sk2))
% 0.59/1.01 | ((app @ X1 @ X2) != (sk1)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl161, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl166, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 (((app @ X1 @ X2) != (sk1))
% 0.59/1.01 | ((app @ (app @ X1 @ X0) @ X2) != (sk2))
% 0.59/1.01 | ~ (ssList @ X2)
% 0.59/1.01 | ~ (ssList @ X1)
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ((X0) = (nil)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl165])).
% 0.59/1.01 thf(zip_derived_cl326, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 (((X0) != (sk1))
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ((X1) = (nil))
% 0.59/1.01 | ~ (ssList @ X1)
% 0.59/1.01 | ~ (ssList @ nil)
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ((app @ (app @ nil @ X1) @ X0) != (sk2)))),
% 0.59/1.01 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl166])).
% 0.59/1.01 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.59/1.01 inference('cnf', [status(esa)], [clause8])).
% 0.59/1.01 thf(zip_derived_cl330, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 (((X0) != (sk1))
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ((X1) = (nil))
% 0.59/1.01 | ~ (ssList @ X1)
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ((app @ (app @ nil @ X1) @ X0) != (sk2)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl326, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl331, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 (((app @ (app @ nil @ X1) @ X0) != (sk2))
% 0.59/1.01 | ~ (ssList @ X1)
% 0.59/1.01 | ((X1) = (nil))
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ((X0) != (sk1)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl330])).
% 0.59/1.01 thf(zip_derived_cl336, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 (~ (ssList @ sk1)
% 0.59/1.01 | ((X0) = (nil))
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ((app @ (app @ nil @ X0) @ sk1) != (sk2)))),
% 0.59/1.01 inference('eq_res', [status(thm)], [zip_derived_cl331])).
% 0.59/1.01 thf(co1_3, conjecture, (~( ssList @ sk3 ))).
% 0.59/1.01 thf(zf_stmt_6, negated_conjecture, (ssList @ sk3),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [co1_3])).
% 0.59/1.01 thf(zip_derived_cl44, plain, ( (ssList @ sk3)),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.59/1.01 thf(zip_derived_cl41, plain, (((sk1) = (sk3))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/1.01 thf(zip_derived_cl52, plain, ( (ssList @ sk1)),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl41])).
% 0.59/1.01 thf(zip_derived_cl337, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 (((X0) = (nil))
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ((app @ (app @ nil @ X0) @ sk1) != (sk2)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl336, zip_derived_cl52])).
% 0.59/1.01 thf(zip_derived_cl339, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 (((app @ X0 @ sk1) != (sk2))
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ((X0) = (nil)))),
% 0.59/1.01 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl337])).
% 0.59/1.01 thf(zip_derived_cl340, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 (((X0) = (nil)) | ~ (ssList @ X0) | ((app @ X0 @ sk1) != (sk2)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl339])).
% 0.59/1.01 thf(zip_derived_cl341, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 (((cons @ X0 @ sk1) != (sk2))
% 0.59/1.01 | ~ (ssList @ sk1)
% 0.59/1.01 | ~ (ssItem @ X0)
% 0.59/1.01 | ~ (ssList @ (cons @ X0 @ nil))
% 0.59/1.01 | ((cons @ X0 @ nil) = (nil)))),
% 0.59/1.01 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl340])).
% 0.59/1.01 thf(zip_derived_cl52, plain, ( (ssList @ sk1)),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl41])).
% 0.59/1.01 thf(zip_derived_cl342, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 (((cons @ X0 @ sk1) != (sk2))
% 0.59/1.01 | ~ (ssItem @ X0)
% 0.59/1.01 | ~ (ssList @ (cons @ X0 @ nil))
% 0.59/1.01 | ((cons @ X0 @ nil) = (nil)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl341, zip_derived_cl52])).
% 0.59/1.01 thf(zip_derived_cl385, plain,
% 0.59/1.01 ((((sk2) != (sk2))
% 0.59/1.01 | ((nil) = (sk2))
% 0.59/1.01 | ((cons @ (hd @ sk2) @ nil) = (nil))
% 0.59/1.01 | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 0.59/1.01 | ~ (ssItem @ (hd @ sk2)))),
% 0.59/1.01 inference('sup-', [status(thm)], [zip_derived_cl204, zip_derived_cl342])).
% 0.59/1.01 thf(zip_derived_cl386, plain,
% 0.59/1.01 ((~ (ssItem @ (hd @ sk2))
% 0.59/1.01 | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 0.59/1.01 | ((cons @ (hd @ sk2) @ nil) = (nil))
% 0.59/1.01 | ((nil) = (sk2)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl385])).
% 0.59/1.01 thf(clause76, axiom,
% 0.59/1.01 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.59/1.01 thf(zip_derived_cl4, plain,
% 0.59/1.01 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 0.59/1.01 inference('cnf', [status(esa)], [clause76])).
% 0.59/1.01 thf(zip_derived_cl51, plain, ( (ssList @ sk2)),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl42])).
% 0.59/1.01 thf(zip_derived_cl69, plain, ((((nil) = (sk2)) | (ssItem @ (hd @ sk2)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl51])).
% 0.59/1.01 thf(zip_derived_cl431, plain,
% 0.59/1.01 ((((nil) = (sk2))
% 0.59/1.01 | ((cons @ (hd @ sk2) @ nil) = (nil))
% 0.59/1.01 | ~ (ssList @ (cons @ (hd @ sk2) @ nil)))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl386, zip_derived_cl69])).
% 0.59/1.01 thf(zip_derived_cl432, plain,
% 0.59/1.01 ((~ (ssList @ nil)
% 0.59/1.01 | ~ (ssItem @ (hd @ sk2))
% 0.59/1.01 | ((cons @ (hd @ sk2) @ nil) = (nil))
% 0.59/1.01 | ((nil) = (sk2)))),
% 0.59/1.01 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl431])).
% 0.59/1.01 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.59/1.01 inference('cnf', [status(esa)], [clause8])).
% 0.59/1.01 thf(zip_derived_cl434, plain,
% 0.59/1.01 ((~ (ssItem @ (hd @ sk2))
% 0.59/1.01 | ((cons @ (hd @ sk2) @ nil) = (nil))
% 0.59/1.01 | ((nil) = (sk2)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl432, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl69, plain, ((((nil) = (sk2)) | (ssItem @ (hd @ sk2)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl51])).
% 0.59/1.01 thf(zip_derived_cl437, plain,
% 0.59/1.01 ((((nil) = (sk2)) | ((cons @ (hd @ sk2) @ nil) = (nil)))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl434, zip_derived_cl69])).
% 0.59/1.01 thf(clause98, axiom,
% 0.59/1.01 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 0.59/1.01 ( ~( ssList @ V ) ))).
% 0.59/1.01 thf(zip_derived_cl11, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 0.59/1.01 inference('cnf', [status(esa)], [clause98])).
% 0.59/1.01 thf(zip_derived_cl441, plain,
% 0.59/1.01 ((((nil) != (nil))
% 0.59/1.01 | ((nil) = (sk2))
% 0.59/1.01 | ~ (ssList @ nil)
% 0.59/1.01 | ~ (ssItem @ (hd @ sk2)))),
% 0.59/1.01 inference('sup-', [status(thm)], [zip_derived_cl437, zip_derived_cl11])).
% 0.59/1.01 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.59/1.01 inference('cnf', [status(esa)], [clause8])).
% 0.59/1.01 thf(zip_derived_cl461, plain,
% 0.59/1.01 ((((nil) != (nil)) | ((nil) = (sk2)) | ~ (ssItem @ (hd @ sk2)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl441, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl462, plain, ((~ (ssItem @ (hd @ sk2)) | ((nil) = (sk2)))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl461])).
% 0.59/1.01 thf(zip_derived_cl69, plain, ((((nil) = (sk2)) | (ssItem @ (hd @ sk2)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl51])).
% 0.59/1.01 thf(zip_derived_cl504, plain, (((nil) = (sk2))),
% 0.59/1.01 inference('clc', [status(thm)], [zip_derived_cl462, zip_derived_cl69])).
% 0.59/1.01 thf(zip_derived_cl505, plain, ( (neq @ nil @ nil)),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl504])).
% 0.59/1.01 thf(clause115, axiom,
% 0.59/1.01 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 0.59/1.01 ( ~( ssList @ U ) ))).
% 0.59/1.01 thf(zip_derived_cl16, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 (((X1) != (X0))
% 0.59/1.01 | ~ (neq @ X1 @ X0)
% 0.59/1.01 | ~ (ssList @ X0)
% 0.59/1.01 | ~ (ssList @ X1))),
% 0.59/1.01 inference('cnf', [status(esa)], [clause115])).
% 0.59/1.01 thf(zip_derived_cl47, plain,
% 0.59/1.01 (![X0 : $i]: (~ (ssList @ X0) | ~ (ssList @ X0) | ~ (neq @ X0 @ X0))),
% 0.59/1.01 inference('eq_res', [status(thm)], [zip_derived_cl16])).
% 0.59/1.01 thf(zip_derived_cl48, plain,
% 0.59/1.01 (![X0 : $i]: (~ (neq @ X0 @ X0) | ~ (ssList @ X0))),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl47])).
% 0.59/1.01 thf(zip_derived_cl569, plain, (~ (ssList @ nil)),
% 0.59/1.01 inference('sup-', [status(thm)], [zip_derived_cl505, zip_derived_cl48])).
% 0.59/1.01 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.59/1.01 inference('cnf', [status(esa)], [clause8])).
% 0.59/1.01 thf(zip_derived_cl571, plain, ($false),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl569, zip_derived_cl0])).
% 0.59/1.01
% 0.59/1.01 % SZS output end Refutation
% 0.59/1.01
% 0.59/1.01
% 0.59/1.01 % Terminating...
% 1.69/1.07 % Runner terminated.
% 1.69/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------