%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC421-1 : 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.AmwM33I9E7 true
% Computer : n022.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 04:59:44 PM UTC 2025
% Result : Unsatisfiable 85.72s 12.83s
% Output : Refutation 85.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC421-1 : TPTP v9.2.0. Released v2.4.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AmwM33I9E7 true
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 17:12:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 85.72/12.83 % Solved by fo/fo6_bce.sh.
% 85.72/12.83 % BCE start: 196
% 85.72/12.83 % BCE eliminated: 0
% 85.72/12.83 % PE start: 196
% 85.72/12.83 logic: eq
% 85.72/12.83 % PE eliminated: 6
% 85.72/12.83 % done 5317 iterations in 12.062s
% 85.72/12.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 85.72/12.83 % SZS output start Refutation
% 85.72/12.83 thf(nil_type, type, nil: $i).
% 85.72/12.83 thf(cons_type, type, cons: $i > $i > $i).
% 85.72/12.83 thf(sk2_type, type, sk2: $i).
% 85.72/12.83 thf(sk4_type, type, sk4: $i).
% 85.72/12.83 thf(tl_type, type, tl: $i > $i).
% 85.72/12.83 thf(hd_type, type, hd: $i > $i).
% 85.72/12.83 thf(ssItem_type, type, ssItem: $i > $o).
% 85.72/12.83 thf(skaf82_type, type, skaf82: $i > $i).
% 85.72/12.83 thf(sk3_type, type, sk3: $i).
% 85.72/12.83 thf(skaf83_type, type, skaf83: $i > $i).
% 85.72/12.83 thf(neq_type, type, neq: $i > $i > $o).
% 85.72/12.83 thf(app_type, type, app: $i > $i > $i).
% 85.72/12.83 thf(ssList_type, type, ssList: $i > $o).
% 85.72/12.83 thf(sk1_type, type, sk1: $i).
% 85.72/12.83 thf(co1_10, conjecture,
% 85.72/12.83 (~( ( neq @ sk3 @ nil ) | ( ~( neq @ sk4 @ nil ) ) ))).
% 85.72/12.83 thf(zf_stmt_0, negated_conjecture,
% 85.72/12.83 (( neq @ sk3 @ nil ) | ( ~( neq @ sk4 @ nil ) )),
% 85.72/12.83 inference('cnf.neg', [status(esa)], [co1_10])).
% 85.72/12.83 thf(zip_derived_cl194, plain, (( (neq @ sk3 @ nil) | ~ (neq @ sk4 @ nil))),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 85.72/12.83 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 85.72/12.83 thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 85.72/12.83 inference('cnf.neg', [status(esa)], [co1_6])).
% 85.72/12.83 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 85.72/12.83 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 85.72/12.83 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 85.72/12.83 inference('cnf.neg', [status(esa)], [co1_5])).
% 85.72/12.83 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 85.72/12.83 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 85.72/12.83 thf(zf_stmt_3, negated_conjecture, (neq @ sk2 @ nil),
% 85.72/12.83 inference('cnf.neg', [status(esa)], [co1_7])).
% 85.72/12.83 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 85.72/12.83 thf(zip_derived_cl1396, plain, ( (neq @ sk1 @ nil)),
% 85.72/12.83 inference('demod', [status(thm)],
% 85.72/12.83 [zip_derived_cl194, zip_derived_cl190, zip_derived_cl189,
% 85.72/12.83 zip_derived_cl191])).
% 85.72/12.83 thf(clause76, axiom,
% 85.72/12.83 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 85.72/12.83 thf(zip_derived_cl75, plain,
% 85.72/12.83 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause76])).
% 85.72/12.83 thf(clause86, axiom,
% 85.72/12.83 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 85.72/12.83 thf(zip_derived_cl85, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause86])).
% 85.72/12.83 thf(clause75, axiom,
% 85.72/12.83 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 85.72/12.83 thf(zip_derived_cl74, plain,
% 85.72/12.83 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause75])).
% 85.72/12.83 thf(clause85, axiom,
% 85.72/12.83 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 85.72/12.83 thf(zip_derived_cl84, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause85])).
% 85.72/12.83 thf(zip_derived_cl75, plain,
% 85.72/12.83 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause76])).
% 85.72/12.83 thf(zip_derived_cl85, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause86])).
% 85.72/12.83 thf(zip_derived_cl75, plain,
% 85.72/12.83 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause76])).
% 85.72/12.83 thf(zip_derived_cl74, plain,
% 85.72/12.83 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause75])).
% 85.72/12.83 thf(clause100, axiom,
% 85.72/12.83 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 85.72/12.83 ( ( V ) = ( U ) ))).
% 85.72/12.83 thf(zip_derived_cl99, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause100])).
% 85.72/12.83 thf(co1_11, conjecture,
% 85.72/12.83 (~( ( ~( ssList @ C ) ) | ( ( tl @ sk3 ) != ( B ) ) |
% 85.72/12.83 ( ~( ssList @ B ) ) | ( ~( neq @ sk4 @ nil ) ) | ( ~( ssItem @ D ) ) |
% 85.72/12.83 ( ( app @ B @ C ) != ( A ) ) | ( ( sk4 ) = ( A ) ) |
% 85.72/12.83 ( ( hd @ sk3 ) != ( D ) ) | ( ~( ssList @ A ) ) |
% 85.72/12.83 ( ~( neq @ nil @ sk3 ) ) | ( ( cons @ D @ nil ) != ( C ) ) ))).
% 85.72/12.83 thf(zf_stmt_4, negated_conjecture,
% 85.72/12.83 (( ~( ssList @ C ) ) | ( ( tl @ sk3 ) != ( B ) ) | ( ~( ssList @ B ) ) |
% 85.72/12.83 ( ~( neq @ sk4 @ nil ) ) | ( ~( ssItem @ D ) ) |
% 85.72/12.83 ( ( app @ B @ C ) != ( A ) ) | ( ( sk4 ) = ( A ) ) |
% 85.72/12.83 ( ( hd @ sk3 ) != ( D ) ) | ( ~( ssList @ A ) ) |
% 85.72/12.83 ( ~( neq @ nil @ sk3 ) ) | ( ( cons @ D @ nil ) != ( C ) )),
% 85.72/12.83 inference('cnf.neg', [status(esa)], [co1_11])).
% 85.72/12.83 thf(zip_derived_cl195, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.72/12.83 (~ (ssList @ X0)
% 85.72/12.83 | ((tl @ sk3) != (X1))
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ~ (neq @ sk4 @ nil)
% 85.72/12.83 | ~ (ssItem @ X2)
% 85.72/12.83 | ((app @ X1 @ X0) != (X3))
% 85.72/12.83 | ((sk4) = (X3))
% 85.72/12.83 | ((hd @ sk3) != (X2))
% 85.72/12.83 | ~ (ssList @ X3)
% 85.72/12.83 | ~ (neq @ nil @ sk3)
% 85.72/12.83 | ((cons @ X2 @ nil) != (X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_4])).
% 85.72/12.83 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 85.72/12.83 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 85.72/12.83 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 85.72/12.83 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 85.72/12.83 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 85.72/12.83 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 85.72/12.83 thf(zip_derived_cl3469, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.72/12.83 (~ (ssList @ X0)
% 85.72/12.83 | ((tl @ sk1) != (X1))
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ~ (ssItem @ X2)
% 85.72/12.83 | ((app @ X1 @ X0) != (X3))
% 85.72/12.83 | ((sk2) = (X3))
% 85.72/12.83 | ((hd @ sk1) != (X2))
% 85.72/12.83 | ~ (ssList @ X3)
% 85.72/12.83 | ~ (neq @ nil @ sk1)
% 85.72/12.83 | ((cons @ X2 @ nil) != (X0)))),
% 85.72/12.83 inference('demod', [status(thm)],
% 85.72/12.83 [zip_derived_cl195, zip_derived_cl190, zip_derived_cl189,
% 85.72/12.83 zip_derived_cl191, zip_derived_cl189, zip_derived_cl190,
% 85.72/12.83 zip_derived_cl190])).
% 85.72/12.83 thf(zip_derived_cl3470, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.72/12.83 (((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ nil)
% 85.72/12.83 | ~ (ssList @ sk1)
% 85.72/12.83 | ~ (ssList @ X0)
% 85.72/12.83 | ((tl @ sk1) != (X1))
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ~ (ssItem @ X2)
% 85.72/12.83 | ((app @ X1 @ X0) != (X3))
% 85.72/12.83 | ((sk2) = (X3))
% 85.72/12.83 | ((hd @ sk1) != (X2))
% 85.72/12.83 | ~ (ssList @ X3)
% 85.72/12.83 | ((cons @ X2 @ nil) != (X0)))),
% 85.72/12.83 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl3469])).
% 85.72/12.83 thf(clause8, axiom, (ssList @ nil)).
% 85.72/12.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 85.72/12.83 inference('cnf', [status(esa)], [clause8])).
% 85.72/12.83 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 85.72/12.83 thf(zf_stmt_5, negated_conjecture, (ssList @ sk1),
% 85.72/12.83 inference('cnf.neg', [status(esa)], [co1_1])).
% 85.72/12.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 85.72/12.83 thf(zip_derived_cl3472, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.72/12.83 (((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ X0)
% 85.72/12.83 | ((tl @ sk1) != (X1))
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ~ (ssItem @ X2)
% 85.72/12.83 | ((app @ X1 @ X0) != (X3))
% 85.72/12.83 | ((sk2) = (X3))
% 85.72/12.83 | ((hd @ sk1) != (X2))
% 85.72/12.83 | ~ (ssList @ X3)
% 85.72/12.83 | ((cons @ X2 @ nil) != (X0)))),
% 85.72/12.83 inference('demod', [status(thm)],
% 85.72/12.83 [zip_derived_cl3470, zip_derived_cl7, zip_derived_cl185])).
% 85.72/12.83 thf(zip_derived_cl5451, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.72/12.83 (((cons @ X0 @ nil) != (X1))
% 85.72/12.83 | ~ (ssList @ X2)
% 85.72/12.83 | ((hd @ sk1) != (X0))
% 85.72/12.83 | ((sk2) = (X2))
% 85.72/12.83 | ((app @ (tl @ sk1) @ X1) != (X2))
% 85.72/12.83 | ~ (ssItem @ X0)
% 85.72/12.83 | ~ (ssList @ (tl @ sk1))
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('eq_res', [status(thm)], [zip_derived_cl3472])).
% 85.72/12.83 thf(zip_derived_cl6914, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.72/12.83 (((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ sk1)
% 85.72/12.83 | ((cons @ X0 @ nil) != (X1))
% 85.72/12.83 | ~ (ssList @ X2)
% 85.72/12.83 | ((hd @ sk1) != (X0))
% 85.72/12.83 | ((sk2) = (X2))
% 85.72/12.83 | ((app @ (tl @ sk1) @ X1) != (X2))
% 85.72/12.83 | ~ (ssItem @ X0)
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl5451])).
% 85.72/12.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 85.72/12.83 thf(zip_derived_cl6915, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.72/12.83 (((nil) = (sk1))
% 85.72/12.83 | ((cons @ X0 @ nil) != (X1))
% 85.72/12.83 | ~ (ssList @ X2)
% 85.72/12.83 | ((hd @ sk1) != (X0))
% 85.72/12.83 | ((sk2) = (X2))
% 85.72/12.83 | ((app @ (tl @ sk1) @ X1) != (X2))
% 85.72/12.83 | ~ (ssItem @ X0)
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('demod', [status(thm)], [zip_derived_cl6914, zip_derived_cl185])).
% 85.72/12.83 thf(zip_derived_cl6916, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.72/12.83 (~ (ssList @ X1)
% 85.72/12.83 | ~ (ssItem @ X0)
% 85.72/12.83 | ((app @ (tl @ sk1) @ X1) != (X2))
% 85.72/12.83 | ((sk2) = (X2))
% 85.72/12.83 | ((hd @ sk1) != (X0))
% 85.72/12.83 | ~ (ssList @ X2)
% 85.72/12.83 | ((cons @ X0 @ nil) != (X1))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('simplify', [status(thm)], [zip_derived_cl6915])).
% 85.72/12.83 thf(zip_derived_cl10475, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (((nil) = (sk1))
% 85.72/12.83 | ((cons @ (hd @ sk1) @ nil) != (X0))
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ((sk2) = (X1))
% 85.72/12.83 | ((app @ (tl @ sk1) @ X0) != (X1))
% 85.72/12.83 | ~ (ssItem @ (hd @ sk1))
% 85.72/12.83 | ~ (ssList @ X0))),
% 85.72/12.83 inference('eq_res', [status(thm)], [zip_derived_cl6916])).
% 85.72/12.83 thf(zip_derived_cl22491, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ sk1)
% 85.72/12.83 | ((nil) = (sk1))
% 85.72/12.83 | ((cons @ (hd @ sk1) @ nil) != (X0))
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ((sk2) = (X1))
% 85.72/12.83 | ((app @ (tl @ sk1) @ X0) != (X1))
% 85.72/12.83 | ~ (ssList @ X0))),
% 85.72/12.83 inference('s_sup-', [status(thm)],
% 85.72/12.83 [zip_derived_cl75, zip_derived_cl10475])).
% 85.72/12.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 85.72/12.83 thf(zip_derived_cl22492, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (((nil) = (sk1))
% 85.72/12.83 | ((nil) = (sk1))
% 85.72/12.83 | ((cons @ (hd @ sk1) @ nil) != (X0))
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ((sk2) = (X1))
% 85.72/12.83 | ((app @ (tl @ sk1) @ X0) != (X1))
% 85.72/12.83 | ~ (ssList @ X0))),
% 85.72/12.83 inference('demod', [status(thm)],
% 85.72/12.83 [zip_derived_cl22491, zip_derived_cl185])).
% 85.72/12.83 thf(zip_derived_cl22493, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssList @ X0)
% 85.72/12.83 | ((app @ (tl @ sk1) @ X0) != (X1))
% 85.72/12.83 | ((sk2) = (X1))
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ((cons @ (hd @ sk1) @ nil) != (X0))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('simplify', [status(thm)], [zip_derived_cl22492])).
% 85.72/12.83 thf(zip_derived_cl35197, plain,
% 85.72/12.83 (![X0 : $i]:
% 85.72/12.83 (((nil) = (sk1))
% 85.72/12.83 | ((cons @ (hd @ sk1) @ nil) != (X0))
% 85.72/12.83 | ~ (ssList @ (app @ (tl @ sk1) @ X0))
% 85.72/12.83 | ((sk2) = (app @ (tl @ sk1) @ X0))
% 85.72/12.83 | ~ (ssList @ X0))),
% 85.72/12.83 inference('eq_res', [status(thm)], [zip_derived_cl22493])).
% 85.72/12.83 thf(zip_derived_cl35210, plain,
% 85.72/12.83 ((~ (ssList @ (cons @ (hd @ sk1) @ nil))
% 85.72/12.83 | ((sk2) = (app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil)))
% 85.72/12.83 | ~ (ssList @ (app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil)))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('eq_res', [status(thm)], [zip_derived_cl35197])).
% 85.72/12.83 thf(zip_derived_cl75, plain,
% 85.72/12.83 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause76])).
% 85.72/12.83 thf(clause120, axiom,
% 85.72/12.83 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 85.72/12.83 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 85.72/12.83 thf(zip_derived_cl119, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssItem @ X0)
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause120])).
% 85.72/12.83 thf(zip_derived_cl75, plain,
% 85.72/12.83 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause76])).
% 85.72/12.83 thf(zip_derived_cl85, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause86])).
% 85.72/12.83 thf(zip_derived_cl74, plain,
% 85.72/12.83 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause75])).
% 85.72/12.83 thf(clause149, axiom,
% 85.72/12.83 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 85.72/12.83 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 85.72/12.83 thf(zip_derived_cl148, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.72/12.83 (~ (ssList @ X0)
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ~ (ssList @ X2)
% 85.72/12.83 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause149])).
% 85.72/12.83 thf(clause109, axiom,
% 85.72/12.83 (( ~( ssList @ U ) ) |
% 85.72/12.83 ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) |
% 85.72/12.83 ( ( nil ) = ( U ) ))).
% 85.72/12.83 thf(zip_derived_cl108, plain,
% 85.72/12.83 (![X0 : $i]:
% 85.72/12.83 (~ (ssList @ X0)
% 85.72/12.83 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 85.72/12.83 | ((nil) = (X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause109])).
% 85.72/12.83 thf(clause96, axiom,
% 85.72/12.83 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 85.72/12.83 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 85.72/12.83 thf(zip_derived_cl95, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause96])).
% 85.72/12.83 thf(zip_derived_cl1600, plain,
% 85.72/12.83 (![X0 : $i]:
% 85.72/12.83 (((nil) = (X0))
% 85.72/12.83 | ~ (ssList @ X0)
% 85.72/12.83 | ~ (ssItem @ (skaf83 @ X0))
% 85.72/12.83 | ~ (ssList @ (skaf82 @ X0))
% 85.72/12.83 | ((tl @ X0) = (skaf82 @ X0)))),
% 85.72/12.83 inference('s_sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl95])).
% 85.72/12.83 thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 85.72/12.83 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause12])).
% 85.72/12.83 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 85.72/12.83 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause13])).
% 85.72/12.83 thf(zip_derived_cl1607, plain,
% 85.72/12.83 (![X0 : $i]:
% 85.72/12.83 (((nil) = (X0)) | ~ (ssList @ X0) | ((tl @ X0) = (skaf82 @ X0)))),
% 85.72/12.83 inference('demod', [status(thm)],
% 85.72/12.83 [zip_derived_cl1600, zip_derived_cl11, zip_derived_cl12])).
% 85.72/12.83 thf(zip_derived_cl108, plain,
% 85.72/12.83 (![X0 : $i]:
% 85.72/12.83 (~ (ssList @ X0)
% 85.72/12.83 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 85.72/12.83 | ((nil) = (X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause109])).
% 85.72/12.83 thf(clause97, axiom,
% 85.72/12.83 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 85.72/12.83 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 85.72/12.83 thf(zip_derived_cl96, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause97])).
% 85.72/12.83 thf(zip_derived_cl1601, plain,
% 85.72/12.83 (![X0 : $i]:
% 85.72/12.83 (((nil) = (X0))
% 85.72/12.83 | ~ (ssList @ X0)
% 85.72/12.83 | ~ (ssItem @ (skaf83 @ X0))
% 85.72/12.83 | ~ (ssList @ (skaf82 @ X0))
% 85.72/12.83 | ((hd @ X0) = (skaf83 @ X0)))),
% 85.72/12.83 inference('s_sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl96])).
% 85.72/12.83 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause12])).
% 85.72/12.83 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause13])).
% 85.72/12.83 thf(zip_derived_cl1608, plain,
% 85.72/12.83 (![X0 : $i]:
% 85.72/12.83 (((nil) = (X0)) | ~ (ssList @ X0) | ((hd @ X0) = (skaf83 @ X0)))),
% 85.72/12.83 inference('demod', [status(thm)],
% 85.72/12.83 [zip_derived_cl1601, zip_derived_cl11, zip_derived_cl12])).
% 85.72/12.83 thf(zip_derived_cl108, plain,
% 85.72/12.83 (![X0 : $i]:
% 85.72/12.83 (~ (ssList @ X0)
% 85.72/12.83 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 85.72/12.83 | ((nil) = (X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause109])).
% 85.72/12.83 thf(zip_derived_cl119, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssItem @ X0)
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause120])).
% 85.72/12.83 thf(zip_derived_cl85, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause86])).
% 85.72/12.83 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 85.72/12.83 thf(zip_derived_cl73, plain,
% 85.72/12.83 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause74])).
% 85.72/12.83 thf(co1_8, conjecture,
% 85.72/12.83 (~( ( ( app @ ( app @ C @ ( cons @ A @ nil ) ) @ B ) != ( sk1 ) ) |
% 85.72/12.83 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 85.72/12.83 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 85.72/12.83 thf(zf_stmt_6, negated_conjecture,
% 85.72/12.83 (( ( app @ ( app @ C @ ( cons @ A @ nil ) ) @ B ) != ( sk1 ) ) |
% 85.72/12.83 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 85.72/12.83 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 85.72/12.83 inference('cnf.neg', [status(esa)], [co1_8])).
% 85.72/12.83 thf(zip_derived_cl192, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.72/12.83 (((app @ (app @ X0 @ (cons @ X1 @ nil)) @ X2) != (sk1))
% 85.72/12.83 | ((app @ (app @ X2 @ (cons @ X1 @ nil)) @ X0) != (sk2))
% 85.72/12.83 | ~ (ssList @ X0)
% 85.72/12.83 | ~ (ssList @ X2)
% 85.72/12.83 | ~ (ssItem @ X1))),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_6])).
% 85.72/12.83 thf(zip_derived_cl1953, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssList @ (cons @ X0 @ nil))
% 85.72/12.83 | ((app @ (cons @ X0 @ nil) @ X1) != (sk1))
% 85.72/12.83 | ((app @ (app @ X1 @ (cons @ X0 @ nil)) @ nil) != (sk2))
% 85.72/12.83 | ~ (ssList @ nil)
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ~ (ssItem @ X0))),
% 85.72/12.83 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl192])).
% 85.72/12.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 85.72/12.83 inference('cnf', [status(esa)], [clause8])).
% 85.72/12.83 thf(zip_derived_cl1962, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssList @ (cons @ X0 @ nil))
% 85.72/12.83 | ((app @ (cons @ X0 @ nil) @ X1) != (sk1))
% 85.72/12.83 | ((app @ (app @ X1 @ (cons @ X0 @ nil)) @ nil) != (sk2))
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ~ (ssItem @ X0))),
% 85.72/12.83 inference('demod', [status(thm)], [zip_derived_cl1953, zip_derived_cl7])).
% 85.72/12.83 thf(zip_derived_cl2128, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssList @ nil)
% 85.72/12.83 | ~ (ssItem @ X0)
% 85.72/12.83 | ((app @ (cons @ X0 @ nil) @ X1) != (sk1))
% 85.72/12.83 | ((app @ (app @ X1 @ (cons @ X0 @ nil)) @ nil) != (sk2))
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ~ (ssItem @ X0))),
% 85.72/12.83 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1962])).
% 85.72/12.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 85.72/12.83 inference('cnf', [status(esa)], [clause8])).
% 85.72/12.83 thf(zip_derived_cl2131, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssItem @ X0)
% 85.72/12.83 | ((app @ (cons @ X0 @ nil) @ X1) != (sk1))
% 85.72/12.83 | ((app @ (app @ X1 @ (cons @ X0 @ nil)) @ nil) != (sk2))
% 85.72/12.83 | ~ (ssList @ X1)
% 85.72/12.83 | ~ (ssItem @ X0))),
% 85.72/12.83 inference('demod', [status(thm)], [zip_derived_cl2128, zip_derived_cl7])).
% 85.72/12.83 thf(zip_derived_cl2132, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssList @ X1)
% 85.72/12.83 | ((app @ (app @ X1 @ (cons @ X0 @ nil)) @ nil) != (sk2))
% 85.72/12.83 | ((app @ (cons @ X0 @ nil) @ X1) != (sk1))
% 85.72/12.83 | ~ (ssItem @ X0))),
% 85.72/12.83 inference('simplify', [status(thm)], [zip_derived_cl2131])).
% 85.72/12.83 thf(zip_derived_cl2139, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (~ (ssList @ X0)
% 85.72/12.83 | ~ (ssItem @ X1)
% 85.72/12.83 | ~ (ssList @ X0)
% 85.72/12.83 | ((app @ (app @ X0 @ (cons @ X1 @ nil)) @ nil) != (sk2))
% 85.72/12.83 | ((cons @ X1 @ X0) != (sk1))
% 85.72/12.83 | ~ (ssItem @ X1))),
% 85.72/12.83 inference('s_sup-', [status(thm)],
% 85.72/12.83 [zip_derived_cl119, zip_derived_cl2132])).
% 85.72/12.83 thf(zip_derived_cl2145, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (((cons @ X1 @ X0) != (sk1))
% 85.72/12.83 | ((app @ (app @ X0 @ (cons @ X1 @ nil)) @ nil) != (sk2))
% 85.72/12.83 | ~ (ssItem @ X1)
% 85.72/12.83 | ~ (ssList @ X0))),
% 85.72/12.83 inference('simplify', [status(thm)], [zip_derived_cl2139])).
% 85.72/12.83 thf(zip_derived_cl2167, plain,
% 85.72/12.83 (![X0 : $i]:
% 85.72/12.83 (((nil) = (X0))
% 85.72/12.83 | ~ (ssList @ X0)
% 85.72/12.83 | ((X0) != (sk1))
% 85.72/12.83 | ((app @ (app @ (skaf82 @ X0) @ (cons @ (skaf83 @ X0) @ nil)) @ nil)
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ~ (ssItem @ (skaf83 @ X0))
% 85.72/12.83 | ~ (ssList @ (skaf82 @ X0)))),
% 85.72/12.83 inference('s_sup-', [status(thm)],
% 85.72/12.83 [zip_derived_cl108, zip_derived_cl2145])).
% 85.72/12.83 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause12])).
% 85.72/12.83 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause13])).
% 85.72/12.83 thf(zip_derived_cl2171, plain,
% 85.72/12.83 (![X0 : $i]:
% 85.72/12.83 (((nil) = (X0))
% 85.72/12.83 | ~ (ssList @ X0)
% 85.72/12.83 | ((X0) != (sk1))
% 85.72/12.83 | ((app @ (app @ (skaf82 @ X0) @ (cons @ (skaf83 @ X0) @ nil)) @ nil)
% 85.72/12.83 != (sk2)))),
% 85.72/12.83 inference('demod', [status(thm)],
% 85.72/12.83 [zip_derived_cl2167, zip_derived_cl11, zip_derived_cl12])).
% 85.72/12.83 thf(zip_derived_cl2203, plain,
% 85.72/12.83 ((((app @ (app @ (skaf82 @ sk1) @ (cons @ (skaf83 @ sk1) @ nil)) @ nil)
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ~ (ssList @ sk1)
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('eq_res', [status(thm)], [zip_derived_cl2171])).
% 85.72/12.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 85.72/12.83 thf(zip_derived_cl2204, plain,
% 85.72/12.83 ((((app @ (app @ (skaf82 @ sk1) @ (cons @ (skaf83 @ sk1) @ nil)) @ nil)
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('demod', [status(thm)], [zip_derived_cl2203, zip_derived_cl185])).
% 85.72/12.83 thf(zip_derived_cl2233, plain,
% 85.72/12.83 ((~ (ssList @ sk1)
% 85.72/12.83 | ((nil) = (sk1))
% 85.72/12.83 | ((app @ (app @ (skaf82 @ sk1) @ (cons @ (hd @ sk1) @ nil)) @ nil)
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('s_sup-', [status(thm)],
% 85.72/12.83 [zip_derived_cl1608, zip_derived_cl2204])).
% 85.72/12.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 85.72/12.83 thf(zip_derived_cl2238, plain,
% 85.72/12.83 ((((nil) = (sk1))
% 85.72/12.83 | ((app @ (app @ (skaf82 @ sk1) @ (cons @ (hd @ sk1) @ nil)) @ nil)
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('demod', [status(thm)], [zip_derived_cl2233, zip_derived_cl185])).
% 85.72/12.83 thf(zip_derived_cl2239, plain,
% 85.72/12.83 ((((app @ (app @ (skaf82 @ sk1) @ (cons @ (hd @ sk1) @ nil)) @ nil)
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('simplify', [status(thm)], [zip_derived_cl2238])).
% 85.72/12.83 thf(zip_derived_cl2253, plain,
% 85.72/12.83 ((~ (ssList @ sk1)
% 85.72/12.83 | ((nil) = (sk1))
% 85.72/12.83 | ((app @ (app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil)) @ nil)
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('s_sup-', [status(thm)],
% 85.72/12.83 [zip_derived_cl1607, zip_derived_cl2239])).
% 85.72/12.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 85.72/12.83 thf(zip_derived_cl2257, plain,
% 85.72/12.83 ((((nil) = (sk1))
% 85.72/12.83 | ((app @ (app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil)) @ nil)
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('demod', [status(thm)], [zip_derived_cl2253, zip_derived_cl185])).
% 85.72/12.83 thf(zip_derived_cl2258, plain,
% 85.72/12.83 ((((app @ (app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil)) @ nil) != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('simplify', [status(thm)], [zip_derived_cl2257])).
% 85.72/12.83 thf(zip_derived_cl2292, plain,
% 85.72/12.83 ((~ (ssList @ (tl @ sk1))
% 85.72/12.83 | ~ (ssList @ (cons @ (hd @ sk1) @ nil))
% 85.72/12.83 | ~ (ssList @ nil)
% 85.72/12.83 | ((app @ (tl @ sk1) @ (app @ (cons @ (hd @ sk1) @ nil) @ nil))
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('s_sup-', [status(thm)],
% 85.72/12.83 [zip_derived_cl148, zip_derived_cl2258])).
% 85.72/12.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 85.72/12.83 inference('cnf', [status(esa)], [clause8])).
% 85.72/12.83 thf(zip_derived_cl2336, plain,
% 85.72/12.83 ((~ (ssList @ (tl @ sk1))
% 85.72/12.83 | ~ (ssList @ (cons @ (hd @ sk1) @ nil))
% 85.72/12.83 | ((app @ (tl @ sk1) @ (app @ (cons @ (hd @ sk1) @ nil) @ nil))
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('demod', [status(thm)], [zip_derived_cl2292, zip_derived_cl7])).
% 85.72/12.83 thf(zip_derived_cl2484, plain,
% 85.72/12.83 ((((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ sk1)
% 85.72/12.83 | ~ (ssList @ (cons @ (hd @ sk1) @ nil))
% 85.72/12.83 | ((app @ (tl @ sk1) @ (app @ (cons @ (hd @ sk1) @ nil) @ nil))
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl2336])).
% 85.72/12.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 85.72/12.83 thf(zip_derived_cl2485, plain,
% 85.72/12.83 ((((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ (cons @ (hd @ sk1) @ nil))
% 85.72/12.83 | ((app @ (tl @ sk1) @ (app @ (cons @ (hd @ sk1) @ nil) @ nil))
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('demod', [status(thm)], [zip_derived_cl2484, zip_derived_cl185])).
% 85.72/12.83 thf(zip_derived_cl2486, plain,
% 85.72/12.83 ((((app @ (tl @ sk1) @ (app @ (cons @ (hd @ sk1) @ nil) @ nil)) != (sk2))
% 85.72/12.83 | ~ (ssList @ (cons @ (hd @ sk1) @ nil))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('simplify', [status(thm)], [zip_derived_cl2485])).
% 85.72/12.83 thf(zip_derived_cl2487, plain,
% 85.72/12.83 ((~ (ssList @ nil)
% 85.72/12.83 | ~ (ssItem @ (hd @ sk1))
% 85.72/12.83 | ((app @ (tl @ sk1) @ (app @ (cons @ (hd @ sk1) @ nil) @ nil))
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2486])).
% 85.72/12.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 85.72/12.83 inference('cnf', [status(esa)], [clause8])).
% 85.72/12.83 thf(zip_derived_cl2488, plain,
% 85.72/12.83 ((~ (ssItem @ (hd @ sk1))
% 85.72/12.83 | ((app @ (tl @ sk1) @ (app @ (cons @ (hd @ sk1) @ nil) @ nil))
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('demod', [status(thm)], [zip_derived_cl2487, zip_derived_cl7])).
% 85.72/12.83 thf(zip_derived_cl2489, plain,
% 85.72/12.83 ((((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ sk1)
% 85.72/12.83 | ((app @ (tl @ sk1) @ (app @ (cons @ (hd @ sk1) @ nil) @ nil))
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl2488])).
% 85.72/12.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 85.72/12.83 thf(zip_derived_cl2490, plain,
% 85.72/12.83 ((((nil) = (sk1))
% 85.72/12.83 | ((app @ (tl @ sk1) @ (app @ (cons @ (hd @ sk1) @ nil) @ nil))
% 85.72/12.83 != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('demod', [status(thm)], [zip_derived_cl2489, zip_derived_cl185])).
% 85.72/12.83 thf(zip_derived_cl2491, plain,
% 85.72/12.83 ((((app @ (tl @ sk1) @ (app @ (cons @ (hd @ sk1) @ nil) @ nil)) != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('simplify', [status(thm)], [zip_derived_cl2490])).
% 85.72/12.83 thf(zip_derived_cl2495, plain,
% 85.72/12.83 ((~ (ssList @ nil)
% 85.72/12.83 | ~ (ssItem @ (hd @ sk1))
% 85.72/12.83 | ((app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil)) != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('s_sup-', [status(thm)],
% 85.72/12.83 [zip_derived_cl119, zip_derived_cl2491])).
% 85.72/12.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 85.72/12.83 inference('cnf', [status(esa)], [clause8])).
% 85.72/12.83 thf(zip_derived_cl2498, plain,
% 85.72/12.83 ((~ (ssItem @ (hd @ sk1))
% 85.72/12.83 | ((app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil)) != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('demod', [status(thm)], [zip_derived_cl2495, zip_derived_cl7])).
% 85.72/12.83 thf(zip_derived_cl2530, plain,
% 85.72/12.83 ((((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ sk1)
% 85.72/12.83 | ((app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil)) != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl2498])).
% 85.72/12.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 85.72/12.83 thf(zip_derived_cl2531, plain,
% 85.72/12.83 ((((nil) = (sk1))
% 85.72/12.83 | ((app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil)) != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('demod', [status(thm)], [zip_derived_cl2530, zip_derived_cl185])).
% 85.72/12.83 thf(zip_derived_cl2532, plain,
% 85.72/12.83 ((((app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil)) != (sk2))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('simplify', [status(thm)], [zip_derived_cl2531])).
% 85.72/12.83 thf(zip_derived_cl35299, plain,
% 85.72/12.83 ((((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ (app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil)))
% 85.72/12.83 | ~ (ssList @ (cons @ (hd @ sk1) @ nil)))),
% 85.72/12.83 inference('clc', [status(thm)], [zip_derived_cl35210, zip_derived_cl2532])).
% 85.72/12.83 thf(zip_derived_cl35300, plain,
% 85.72/12.83 ((~ (ssList @ nil)
% 85.72/12.83 | ~ (ssItem @ (hd @ sk1))
% 85.72/12.83 | ((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ (app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil))))),
% 85.72/12.83 inference('s_sup-', [status(thm)],
% 85.72/12.83 [zip_derived_cl85, zip_derived_cl35299])).
% 85.72/12.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 85.72/12.83 inference('cnf', [status(esa)], [clause8])).
% 85.72/12.83 thf(zip_derived_cl35301, plain,
% 85.72/12.83 ((~ (ssItem @ (hd @ sk1))
% 85.72/12.83 | ((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ (app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil))))),
% 85.72/12.83 inference('demod', [status(thm)], [zip_derived_cl35300, zip_derived_cl7])).
% 85.72/12.83 thf(zip_derived_cl35305, plain,
% 85.72/12.83 ((((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ sk1)
% 85.72/12.83 | ((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ (app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil))))),
% 85.72/12.83 inference('s_sup-', [status(thm)],
% 85.72/12.83 [zip_derived_cl75, zip_derived_cl35301])).
% 85.72/12.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 85.72/12.83 thf(zip_derived_cl35306, plain,
% 85.72/12.83 ((((nil) = (sk1))
% 85.72/12.83 | ((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ (app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil))))),
% 85.72/12.83 inference('demod', [status(thm)],
% 85.72/12.83 [zip_derived_cl35305, zip_derived_cl185])).
% 85.72/12.83 thf(zip_derived_cl35307, plain,
% 85.72/12.83 ((~ (ssList @ (app @ (tl @ sk1) @ (cons @ (hd @ sk1) @ nil)))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('simplify', [status(thm)], [zip_derived_cl35306])).
% 85.72/12.83 thf(zip_derived_cl35308, plain,
% 85.72/12.83 ((~ (ssList @ (tl @ sk1))
% 85.72/12.83 | ~ (ssList @ (cons @ (hd @ sk1) @ nil))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('s_sup-', [status(thm)],
% 85.72/12.83 [zip_derived_cl84, zip_derived_cl35307])).
% 85.72/12.83 thf(zip_derived_cl35311, plain,
% 85.72/12.83 ((((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ sk1)
% 85.72/12.83 | ~ (ssList @ (cons @ (hd @ sk1) @ nil))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('s_sup-', [status(thm)],
% 85.72/12.83 [zip_derived_cl74, zip_derived_cl35308])).
% 85.72/12.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 85.72/12.83 thf(zip_derived_cl35312, plain,
% 85.72/12.83 ((((nil) = (sk1))
% 85.72/12.83 | ~ (ssList @ (cons @ (hd @ sk1) @ nil))
% 85.72/12.83 | ((nil) = (sk1)))),
% 85.72/12.83 inference('demod', [status(thm)],
% 85.72/12.83 [zip_derived_cl35311, zip_derived_cl185])).
% 85.72/12.83 thf(zip_derived_cl35313, plain,
% 85.72/12.83 ((~ (ssList @ (cons @ (hd @ sk1) @ nil)) | ((nil) = (sk1)))),
% 85.72/12.83 inference('simplify', [status(thm)], [zip_derived_cl35312])).
% 85.72/12.83 thf(zip_derived_cl35314, plain,
% 85.72/12.83 ((~ (ssList @ nil) | ~ (ssItem @ (hd @ sk1)) | ((nil) = (sk1)))),
% 85.72/12.83 inference('s_sup-', [status(thm)],
% 85.72/12.83 [zip_derived_cl85, zip_derived_cl35313])).
% 85.72/12.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 85.72/12.83 inference('cnf', [status(esa)], [clause8])).
% 85.72/12.83 thf(zip_derived_cl35315, plain,
% 85.72/12.83 ((~ (ssItem @ (hd @ sk1)) | ((nil) = (sk1)))),
% 85.72/12.83 inference('demod', [status(thm)], [zip_derived_cl35314, zip_derived_cl7])).
% 85.72/12.83 thf(zip_derived_cl35318, plain,
% 85.72/12.83 ((((nil) = (sk1)) | ~ (ssList @ sk1) | ((nil) = (sk1)))),
% 85.72/12.83 inference('s_sup-', [status(thm)],
% 85.72/12.83 [zip_derived_cl75, zip_derived_cl35315])).
% 85.72/12.83 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 85.72/12.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 85.72/12.83 thf(zip_derived_cl35319, plain, ((((nil) = (sk1)) | ((nil) = (sk1)))),
% 85.72/12.83 inference('demod', [status(thm)],
% 85.72/12.83 [zip_derived_cl35318, zip_derived_cl185])).
% 85.72/12.83 thf(zip_derived_cl35320, plain, (((nil) = (sk1))),
% 85.72/12.83 inference('simplify', [status(thm)], [zip_derived_cl35319])).
% 85.72/12.83 thf(zip_derived_cl35332, plain, ( (neq @ nil @ nil)),
% 85.72/12.83 inference('demod', [status(thm)],
% 85.72/12.83 [zip_derived_cl1396, zip_derived_cl35320])).
% 85.72/12.83 thf(clause115, axiom,
% 85.72/12.83 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 85.72/12.83 ( ~( ssList @ U ) ))).
% 85.72/12.83 thf(zip_derived_cl114, plain,
% 85.72/12.83 (![X0 : $i, X1 : $i]:
% 85.72/12.83 (((X1) != (X0))
% 85.72/12.83 | ~ (neq @ X1 @ X0)
% 85.72/12.83 | ~ (ssList @ X0)
% 85.72/12.83 | ~ (ssList @ X1))),
% 85.72/12.83 inference('cnf', [status(esa)], [clause115])).
% 85.72/12.83 thf(zip_derived_cl1398, plain,
% 85.72/12.83 (![X0 : $i]: (~ (ssList @ X0) | ~ (ssList @ X0) | ~ (neq @ X0 @ X0))),
% 85.72/12.83 inference('eq_res', [status(thm)], [zip_derived_cl114])).
% 85.72/12.83 thf(zip_derived_cl1399, plain,
% 85.72/12.83 (![X0 : $i]: (~ (neq @ X0 @ X0) | ~ (ssList @ X0))),
% 85.72/12.83 inference('simplify', [status(thm)], [zip_derived_cl1398])).
% 85.72/12.83 thf(zip_derived_cl35991, plain, (~ (ssList @ nil)),
% 85.72/12.83 inference('s_sup-', [status(thm)],
% 85.72/12.83 [zip_derived_cl35332, zip_derived_cl1399])).
% 85.72/12.83 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 85.72/12.83 inference('cnf', [status(esa)], [clause8])).
% 85.72/12.83 thf(zip_derived_cl35993, plain, ($false),
% 85.72/12.83 inference('demod', [status(thm)], [zip_derived_cl35991, zip_derived_cl7])).
% 85.72/12.83
% 85.72/12.83 % SZS output end Refutation
% 85.72/12.83
% 85.72/12.83
% 85.72/12.83 % Terminating...
% 85.72/12.86 % Runner terminated.
% 85.72/12.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------