TSTP Solution File: SWC015-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC015-1 : 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.0fR2lByYb7 true
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:28:30 EDT 2023
% Result : Unsatisfiable 0.57s 1.15s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC015-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0fR2lByYb7 true
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 17:49:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.22/0.35 % Running in FO mode
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/1.15 % Solved by fo/fo6_bce.sh.
% 0.57/1.15 % BCE start: 197
% 0.57/1.15 % BCE eliminated: 0
% 0.57/1.15 % PE start: 197
% 0.57/1.15 logic: eq
% 0.57/1.15 % PE eliminated: 6
% 0.57/1.15 % done 333 iterations in 0.416s
% 0.57/1.15 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/1.15 % SZS output start Refutation
% 0.57/1.15 thf(nil_type, type, nil: $i).
% 0.57/1.15 thf(cons_type, type, cons: $i > $i > $i).
% 0.57/1.15 thf(sk2_type, type, sk2: $i).
% 0.57/1.15 thf(sk4_type, type, sk4: $i).
% 0.57/1.15 thf(tl_type, type, tl: $i > $i).
% 0.57/1.15 thf(hd_type, type, hd: $i > $i).
% 0.57/1.15 thf(ssItem_type, type, ssItem: $i > $o).
% 0.57/1.15 thf(skaf44_type, type, skaf44: $i > $i).
% 0.57/1.15 thf(sk3_type, type, sk3: $i).
% 0.57/1.15 thf(neq_type, type, neq: $i > $i > $o).
% 0.57/1.15 thf(app_type, type, app: $i > $i > $i).
% 0.57/1.15 thf(ssList_type, type, ssList: $i > $o).
% 0.57/1.15 thf(sk1_type, type, sk1: $i).
% 0.57/1.15 thf(singletonP_type, type, singletonP: $i > $o).
% 0.57/1.15 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 0.57/1.15 thf(zf_stmt_0, negated_conjecture, (neq @ sk2 @ nil),
% 0.57/1.15 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.57/1.15 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/1.15 thf(clause75, axiom,
% 0.57/1.15 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.57/1.15 thf(zip_derived_cl74, plain,
% 0.57/1.15 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause75])).
% 0.57/1.15 thf(zip_derived_cl74, plain,
% 0.57/1.15 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause75])).
% 0.57/1.15 thf(clause85, axiom,
% 0.57/1.15 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 0.57/1.15 thf(zip_derived_cl84, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause85])).
% 0.57/1.15 thf(zip_derived_cl74, plain,
% 0.57/1.15 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause75])).
% 0.57/1.15 thf(clause100, axiom,
% 0.57/1.15 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 0.57/1.15 ( ( V ) = ( U ) ))).
% 0.57/1.15 thf(zip_derived_cl99, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause100])).
% 0.57/1.15 thf(co1_11, conjecture,
% 0.57/1.15 (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) |
% 0.57/1.15 ( ( app @ sk3 @ B ) != ( A ) ) | ( ( tl @ sk4 ) != ( B ) ) |
% 0.57/1.15 ( ~( ssList @ B ) ) | ( ( sk4 ) = ( A ) ) | ( ~( ssList @ A ) ) ))).
% 0.57/1.15 thf(zf_stmt_1, negated_conjecture,
% 0.57/1.15 (( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) |
% 0.57/1.15 ( ( app @ sk3 @ B ) != ( A ) ) | ( ( tl @ sk4 ) != ( B ) ) |
% 0.57/1.15 ( ~( ssList @ B ) ) | ( ( sk4 ) = ( A ) ) | ( ~( ssList @ A ) )),
% 0.57/1.15 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.57/1.15 thf(zip_derived_cl195, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (~ (neq @ sk4 @ nil)
% 0.57/1.15 | ~ (neq @ nil @ sk4)
% 0.57/1.15 | ((app @ sk3 @ X1) != (X0))
% 0.57/1.15 | ((tl @ sk4) != (X1))
% 0.57/1.15 | ~ (ssList @ X1)
% 0.57/1.15 | ((sk4) = (X0))
% 0.57/1.15 | ~ (ssList @ X0))),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/1.15 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.57/1.15 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.57/1.15 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.57/1.15 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/1.15 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/1.15 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/1.15 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.57/1.15 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.57/1.15 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.57/1.15 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/1.15 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/1.15 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/1.15 thf(zip_derived_cl1448, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (~ (neq @ nil @ sk2)
% 0.57/1.15 | ((app @ sk1 @ X1) != (X0))
% 0.57/1.15 | ((tl @ sk2) != (X1))
% 0.57/1.15 | ~ (ssList @ X1)
% 0.57/1.15 | ((sk2) = (X0))
% 0.57/1.15 | ~ (ssList @ X0))),
% 0.57/1.15 inference('demod', [status(thm)],
% 0.57/1.15 [zip_derived_cl195, zip_derived_cl189, zip_derived_cl191,
% 0.57/1.15 zip_derived_cl189, zip_derived_cl190, zip_derived_cl189,
% 0.57/1.15 zip_derived_cl189])).
% 0.57/1.15 thf(zip_derived_cl1513, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ nil)
% 0.57/1.15 | ~ (ssList @ sk2)
% 0.57/1.15 | ((app @ sk1 @ X0) != (X1))
% 0.57/1.15 | ((tl @ sk2) != (X0))
% 0.57/1.15 | ~ (ssList @ X0)
% 0.57/1.15 | ((sk2) = (X1))
% 0.57/1.15 | ~ (ssList @ X1))),
% 0.57/1.15 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl1448])).
% 0.57/1.15 thf(clause8, axiom, (ssList @ nil)).
% 0.57/1.15 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.57/1.15 inference('cnf', [status(esa)], [clause8])).
% 0.57/1.15 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 0.57/1.15 thf(zf_stmt_4, negated_conjecture, (ssList @ sk2),
% 0.57/1.15 inference('cnf.neg', [status(esa)], [co1_2])).
% 0.57/1.15 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.15 thf(zip_derived_cl1516, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (((nil) = (sk2))
% 0.57/1.15 | ((app @ sk1 @ X0) != (X1))
% 0.57/1.15 | ((tl @ sk2) != (X0))
% 0.57/1.15 | ~ (ssList @ X0)
% 0.57/1.15 | ((sk2) = (X1))
% 0.57/1.15 | ~ (ssList @ X1))),
% 0.57/1.15 inference('demod', [status(thm)],
% 0.57/1.15 [zip_derived_cl1513, zip_derived_cl7, zip_derived_cl186])).
% 0.57/1.15 thf(zip_derived_cl1517, plain,
% 0.57/1.15 (![X0 : $i]:
% 0.57/1.15 (~ (ssList @ X0)
% 0.57/1.15 | ((sk2) = (X0))
% 0.57/1.15 | ~ (ssList @ (tl @ sk2))
% 0.57/1.15 | ((app @ sk1 @ (tl @ sk2)) != (X0))
% 0.57/1.15 | ((nil) = (sk2)))),
% 0.57/1.15 inference('eq_res', [status(thm)], [zip_derived_cl1516])).
% 0.57/1.15 thf(zip_derived_cl1518, plain,
% 0.57/1.15 (![X0 : $i]:
% 0.57/1.15 (((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ sk2)
% 0.57/1.15 | ~ (ssList @ X0)
% 0.57/1.15 | ((sk2) = (X0))
% 0.57/1.15 | ((app @ sk1 @ (tl @ sk2)) != (X0))
% 0.57/1.15 | ((nil) = (sk2)))),
% 0.57/1.15 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl1517])).
% 0.57/1.15 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.15 thf(zip_derived_cl1519, plain,
% 0.57/1.15 (![X0 : $i]:
% 0.57/1.15 (((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ X0)
% 0.57/1.15 | ((sk2) = (X0))
% 0.57/1.15 | ((app @ sk1 @ (tl @ sk2)) != (X0))
% 0.57/1.15 | ((nil) = (sk2)))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl1518, zip_derived_cl186])).
% 0.57/1.15 thf(zip_derived_cl1520, plain,
% 0.57/1.15 (![X0 : $i]:
% 0.57/1.15 (((app @ sk1 @ (tl @ sk2)) != (X0))
% 0.57/1.15 | ((sk2) = (X0))
% 0.57/1.15 | ~ (ssList @ X0)
% 0.57/1.15 | ((nil) = (sk2)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl1519])).
% 0.57/1.15 thf(zip_derived_cl1522, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ (app @ sk1 @ (tl @ sk2)))
% 0.57/1.15 | ((sk2) = (app @ sk1 @ (tl @ sk2))))),
% 0.57/1.15 inference('eq_res', [status(thm)], [zip_derived_cl1520])).
% 0.57/1.15 thf(zip_derived_cl1524, plain,
% 0.57/1.15 ((~ (ssList @ sk1)
% 0.57/1.15 | ~ (ssList @ (tl @ sk2))
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ((sk2) = (app @ sk1 @ (tl @ sk2))))),
% 0.57/1.15 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl1522])).
% 0.57/1.15 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 0.57/1.15 thf(zf_stmt_5, negated_conjecture, (ssList @ sk1),
% 0.57/1.15 inference('cnf.neg', [status(esa)], [co1_1])).
% 0.57/1.15 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/1.15 thf(zip_derived_cl1526, plain,
% 0.57/1.15 ((~ (ssList @ (tl @ sk2))
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ((sk2) = (app @ sk1 @ (tl @ sk2))))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl1524, zip_derived_cl185])).
% 0.57/1.15 thf(zip_derived_cl1545, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ sk2)
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ((sk2) = (app @ sk1 @ (tl @ sk2))))),
% 0.57/1.15 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl1526])).
% 0.57/1.15 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.15 thf(zip_derived_cl1546, plain,
% 0.57/1.15 ((((nil) = (sk2)) | ((nil) = (sk2)) | ((sk2) = (app @ sk1 @ (tl @ sk2))))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl1545, zip_derived_cl186])).
% 0.57/1.15 thf(zip_derived_cl1547, plain,
% 0.57/1.15 ((((sk2) = (app @ sk1 @ (tl @ sk2))) | ((nil) = (sk2)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl1546])).
% 0.57/1.15 thf(zip_derived_cl74, plain,
% 0.57/1.15 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause75])).
% 0.57/1.15 thf(zip_derived_cl1547, plain,
% 0.57/1.15 ((((sk2) = (app @ sk1 @ (tl @ sk2))) | ((nil) = (sk2)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl1546])).
% 0.57/1.15 thf(zip_derived_cl74, plain,
% 0.57/1.15 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause75])).
% 0.57/1.15 thf(zip_derived_cl74, plain,
% 0.57/1.15 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause75])).
% 0.57/1.15 thf(zip_derived_cl74, plain,
% 0.57/1.15 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause75])).
% 0.57/1.15 thf(zip_derived_cl1547, plain,
% 0.57/1.15 ((((sk2) = (app @ sk1 @ (tl @ sk2))) | ((nil) = (sk2)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl1546])).
% 0.57/1.15 thf(clause133, axiom,
% 0.57/1.15 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 0.57/1.15 ( ( tl @ ( app @ V @ U ) ) = ( app @ ( tl @ V ) @ U ) ))).
% 0.57/1.15 thf(zip_derived_cl132, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (~ (ssList @ X0)
% 0.57/1.15 | ~ (ssList @ X1)
% 0.57/1.15 | ((nil) = (X1))
% 0.57/1.15 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause133])).
% 0.57/1.15 thf(zip_derived_cl1813, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ (tl @ sk2))
% 0.57/1.15 | ~ (ssList @ sk1)
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ((tl @ sk2) = (app @ (tl @ sk1) @ (tl @ sk2))))),
% 0.57/1.15 inference('s_sup+', [status(thm)],
% 0.57/1.15 [zip_derived_cl1547, zip_derived_cl132])).
% 0.57/1.15 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/1.15 thf(zip_derived_cl1824, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ (tl @ sk2))
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ((tl @ sk2) = (app @ (tl @ sk1) @ (tl @ sk2))))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl1813, zip_derived_cl185])).
% 0.57/1.15 thf(zip_derived_cl1846, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ sk2)
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ((tl @ sk2) = (app @ (tl @ sk1) @ (tl @ sk2))))),
% 0.57/1.15 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl1824])).
% 0.57/1.15 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.15 thf(zip_derived_cl1847, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ((tl @ sk2) = (app @ (tl @ sk1) @ (tl @ sk2))))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl1846, zip_derived_cl186])).
% 0.57/1.15 thf(zip_derived_cl1848, plain,
% 0.57/1.15 ((((tl @ sk2) = (app @ (tl @ sk1) @ (tl @ sk2)))
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ((nil) = (sk2)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl1847])).
% 0.57/1.15 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 0.57/1.15 thf(zip_derived_cl73, plain,
% 0.57/1.15 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause74])).
% 0.57/1.15 thf(clause151, axiom,
% 0.57/1.15 (( ( app @ U @ V ) != ( app @ W @ V ) ) | ( ~( ssList @ U ) ) |
% 0.57/1.15 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( ( U ) = ( W ) ))).
% 0.57/1.15 thf(zip_derived_cl150, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.15 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 0.57/1.15 | ~ (ssList @ X2)
% 0.57/1.15 | ~ (ssList @ X1)
% 0.57/1.15 | ~ (ssList @ X0)
% 0.57/1.15 | ((X2) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause151])).
% 0.57/1.15 thf(zip_derived_cl2191, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (~ (ssList @ X0)
% 0.57/1.15 | ((X0) != (app @ X1 @ X0))
% 0.57/1.15 | ~ (ssList @ nil)
% 0.57/1.15 | ~ (ssList @ X0)
% 0.57/1.15 | ~ (ssList @ X1)
% 0.57/1.15 | ((nil) = (X1)))),
% 0.57/1.15 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl150])).
% 0.57/1.15 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.57/1.15 inference('cnf', [status(esa)], [clause8])).
% 0.57/1.15 thf(zip_derived_cl2217, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (~ (ssList @ X0)
% 0.57/1.15 | ((X0) != (app @ X1 @ X0))
% 0.57/1.15 | ~ (ssList @ X0)
% 0.57/1.15 | ~ (ssList @ X1)
% 0.57/1.15 | ((nil) = (X1)))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl2191, zip_derived_cl7])).
% 0.57/1.15 thf(zip_derived_cl2218, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (((nil) = (X1))
% 0.57/1.15 | ~ (ssList @ X1)
% 0.57/1.15 | ((X0) != (app @ X1 @ X0))
% 0.57/1.15 | ~ (ssList @ X0))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl2217])).
% 0.57/1.15 thf(zip_derived_cl2360, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ((nil) = (tl @ sk1))
% 0.57/1.15 | ~ (ssList @ (tl @ sk1))
% 0.57/1.15 | ((tl @ sk2) != (tl @ sk2))
% 0.57/1.15 | ~ (ssList @ (tl @ sk2)))),
% 0.57/1.15 inference('s_sup-', [status(thm)],
% 0.57/1.15 [zip_derived_cl1848, zip_derived_cl2218])).
% 0.57/1.15 thf(zip_derived_cl2373, plain,
% 0.57/1.15 ((~ (ssList @ (tl @ sk2))
% 0.57/1.15 | ~ (ssList @ (tl @ sk1))
% 0.57/1.15 | ((nil) = (tl @ sk1))
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ((nil) = (sk2)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl2360])).
% 0.57/1.15 thf(zip_derived_cl2429, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ sk2)
% 0.57/1.15 | ~ (ssList @ (tl @ sk1))
% 0.57/1.15 | ((nil) = (tl @ sk1))
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ((nil) = (sk2)))),
% 0.57/1.15 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl2373])).
% 0.57/1.15 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.15 thf(zip_derived_cl2430, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ (tl @ sk1))
% 0.57/1.15 | ((nil) = (tl @ sk1))
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ((nil) = (sk2)))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl2429, zip_derived_cl186])).
% 0.57/1.15 thf(zip_derived_cl2431, plain,
% 0.57/1.15 ((((nil) = (sk1))
% 0.57/1.15 | ((nil) = (tl @ sk1))
% 0.57/1.15 | ~ (ssList @ (tl @ sk1))
% 0.57/1.15 | ((nil) = (sk2)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl2430])).
% 0.57/1.15 thf(zip_derived_cl2432, plain,
% 0.57/1.15 ((((nil) = (sk1))
% 0.57/1.15 | ~ (ssList @ sk1)
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ((nil) = (tl @ sk1))
% 0.57/1.15 | ((nil) = (sk2)))),
% 0.57/1.15 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl2431])).
% 0.57/1.15 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/1.15 thf(zip_derived_cl2433, plain,
% 0.57/1.15 ((((nil) = (sk1))
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ((nil) = (tl @ sk1))
% 0.57/1.15 | ((nil) = (sk2)))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl2432, zip_derived_cl185])).
% 0.57/1.15 thf(zip_derived_cl2434, plain,
% 0.57/1.15 ((((nil) = (sk2)) | ((nil) = (tl @ sk1)) | ((nil) = (sk1)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl2433])).
% 0.57/1.15 thf(clause104, axiom,
% 0.57/1.15 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 0.57/1.15 ( ( nil ) = ( U ) ))).
% 0.57/1.15 thf(zip_derived_cl103, plain,
% 0.57/1.15 (![X0 : $i]:
% 0.57/1.15 (~ (ssList @ X0)
% 0.57/1.15 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 0.57/1.15 | ((nil) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause104])).
% 0.57/1.15 thf(zip_derived_cl2436, plain,
% 0.57/1.15 ((((nil) = (sk1))
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ sk1)
% 0.57/1.15 | ((cons @ (hd @ sk1) @ nil) = (sk1))
% 0.57/1.15 | ((nil) = (sk1)))),
% 0.57/1.15 inference('s_sup+', [status(thm)],
% 0.57/1.15 [zip_derived_cl2434, zip_derived_cl103])).
% 0.57/1.15 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/1.15 thf(zip_derived_cl2443, plain,
% 0.57/1.15 ((((nil) = (sk1))
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ((cons @ (hd @ sk1) @ nil) = (sk1))
% 0.57/1.15 | ((nil) = (sk1)))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl2436, zip_derived_cl185])).
% 0.57/1.15 thf(zip_derived_cl2444, plain,
% 0.57/1.15 ((((cons @ (hd @ sk1) @ nil) = (sk1)) | ((nil) = (sk2)) | ((nil) = (sk1)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl2443])).
% 0.57/1.15 thf(clause116, axiom,
% 0.57/1.15 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 0.57/1.15 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 0.57/1.15 thf(zip_derived_cl115, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (((cons @ X1 @ nil) != (X0))
% 0.57/1.15 | ~ (ssItem @ X1)
% 0.57/1.15 | ~ (ssList @ X0)
% 0.57/1.15 | (singletonP @ X0))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause116])).
% 0.57/1.15 thf(clause101, axiom,
% 0.57/1.15 (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) |
% 0.57/1.15 ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 0.57/1.15 thf(zip_derived_cl100, plain,
% 0.57/1.15 (![X0 : $i]:
% 0.57/1.15 (~ (singletonP @ X0)
% 0.57/1.15 | ~ (ssList @ X0)
% 0.57/1.15 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause101])).
% 0.57/1.15 thf(zip_derived_cl1378, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (~ (ssList @ X1)
% 0.57/1.15 | ~ (ssItem @ X0)
% 0.57/1.15 | ((cons @ X0 @ nil) != (X1))
% 0.57/1.15 | ((cons @ (skaf44 @ X1) @ nil) = (X1))
% 0.57/1.15 | ~ (ssList @ X1))),
% 0.57/1.15 inference('dp-resolution', [status(thm)],
% 0.57/1.15 [zip_derived_cl115, zip_derived_cl100])).
% 0.57/1.15 thf(zip_derived_cl1455, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (((cons @ (skaf44 @ X1) @ nil) = (X1))
% 0.57/1.15 | ((cons @ X0 @ nil) != (X1))
% 0.57/1.15 | ~ (ssItem @ X0)
% 0.57/1.15 | ~ (ssList @ X1))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl1378])).
% 0.57/1.15 thf(zip_derived_cl1456, plain,
% 0.57/1.15 (![X0 : $i]:
% 0.57/1.15 (~ (ssList @ (cons @ X0 @ nil))
% 0.57/1.15 | ~ (ssItem @ X0)
% 0.57/1.15 | ((cons @ (skaf44 @ (cons @ X0 @ nil)) @ nil) = (cons @ X0 @ nil)))),
% 0.57/1.15 inference('eq_res', [status(thm)], [zip_derived_cl1455])).
% 0.57/1.15 thf(zip_derived_cl2556, plain,
% 0.57/1.15 ((((nil) = (sk1))
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ sk1)
% 0.57/1.15 | ~ (ssItem @ (hd @ sk1))
% 0.57/1.15 | ((cons @ (skaf44 @ sk1) @ nil) = (sk1)))),
% 0.57/1.15 inference('s_sup+', [status(thm)],
% 0.57/1.15 [zip_derived_cl2444, zip_derived_cl1456])).
% 0.57/1.15 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/1.15 thf(zip_derived_cl2575, plain,
% 0.57/1.15 ((((nil) = (sk1))
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ~ (ssItem @ (hd @ sk1))
% 0.57/1.15 | ((cons @ (skaf44 @ sk1) @ nil) = (sk1)))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl2556, zip_derived_cl185])).
% 0.57/1.15 thf(zip_derived_cl74, plain,
% 0.57/1.15 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause75])).
% 0.57/1.15 thf(zip_derived_cl1547, plain,
% 0.57/1.15 ((((sk2) = (app @ sk1 @ (tl @ sk2))) | ((nil) = (sk2)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl1546])).
% 0.57/1.15 thf(clause123, axiom,
% 0.57/1.15 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 0.57/1.15 ( ( hd @ ( app @ V @ U ) ) = ( hd @ V ) ))).
% 0.57/1.15 thf(zip_derived_cl122, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (~ (ssList @ X0)
% 0.57/1.15 | ~ (ssList @ X1)
% 0.57/1.15 | ((nil) = (X1))
% 0.57/1.15 | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause123])).
% 0.57/1.15 thf(zip_derived_cl1677, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ (tl @ sk2))
% 0.57/1.15 | ~ (ssList @ sk1)
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ((hd @ sk2) = (hd @ sk1)))),
% 0.57/1.15 inference('s_sup+', [status(thm)],
% 0.57/1.15 [zip_derived_cl1547, zip_derived_cl122])).
% 0.57/1.15 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/1.15 thf(zip_derived_cl1684, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ (tl @ sk2))
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ((hd @ sk2) = (hd @ sk1)))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl1677, zip_derived_cl185])).
% 0.57/1.15 thf(zip_derived_cl1695, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ sk2)
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ((hd @ sk2) = (hd @ sk1)))),
% 0.57/1.15 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl1684])).
% 0.57/1.15 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.15 thf(zip_derived_cl1696, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ((hd @ sk2) = (hd @ sk1)))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl1695, zip_derived_cl186])).
% 0.57/1.15 thf(zip_derived_cl1697, plain,
% 0.57/1.15 ((((hd @ sk2) = (hd @ sk1)) | ((nil) = (sk1)) | ((nil) = (sk2)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl1696])).
% 0.57/1.15 thf(clause76, axiom,
% 0.57/1.15 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.57/1.15 thf(zip_derived_cl75, plain,
% 0.57/1.15 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause76])).
% 0.57/1.15 thf(zip_derived_cl1708, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | ~ (ssList @ sk2)
% 0.57/1.15 | (ssItem @ (hd @ sk1))
% 0.57/1.15 | ((nil) = (sk2)))),
% 0.57/1.15 inference('s_sup+', [status(thm)], [zip_derived_cl1697, zip_derived_cl75])).
% 0.57/1.15 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.15 thf(zip_derived_cl1710, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ((nil) = (sk1))
% 0.57/1.15 | (ssItem @ (hd @ sk1))
% 0.57/1.15 | ((nil) = (sk2)))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl1708, zip_derived_cl186])).
% 0.57/1.15 thf(zip_derived_cl1711, plain,
% 0.57/1.15 (( (ssItem @ (hd @ sk1)) | ((nil) = (sk1)) | ((nil) = (sk2)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl1710])).
% 0.57/1.15 thf(zip_derived_cl2638, plain,
% 0.57/1.15 ((((cons @ (skaf44 @ sk1) @ nil) = (sk1))
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ((nil) = (sk1)))),
% 0.57/1.15 inference('clc', [status(thm)], [zip_derived_cl2575, zip_derived_cl1711])).
% 0.57/1.15 thf(co1_12, conjecture,
% 0.57/1.15 (~( ( ~( neq @ sk4 @ nil ) ) |
% 0.57/1.15 ( ( app @ ( cons @ A @ nil ) @ B ) != ( sk2 ) ) |
% 0.57/1.15 ( ( cons @ A @ nil ) != ( sk1 ) ) | ( ~( ssList @ B ) ) |
% 0.57/1.15 ( ~( ssItem @ A ) ) ))).
% 0.57/1.15 thf(zf_stmt_6, negated_conjecture,
% 0.57/1.15 (( ~( neq @ sk4 @ nil ) ) |
% 0.57/1.15 ( ( app @ ( cons @ A @ nil ) @ B ) != ( sk2 ) ) |
% 0.57/1.15 ( ( cons @ A @ nil ) != ( sk1 ) ) | ( ~( ssList @ B ) ) |
% 0.57/1.15 ( ~( ssItem @ A ) )),
% 0.57/1.15 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.57/1.15 thf(zip_derived_cl196, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (~ (neq @ sk4 @ nil)
% 0.57/1.15 | ((app @ (cons @ X0 @ nil) @ X1) != (sk2))
% 0.57/1.15 | ((cons @ X0 @ nil) != (sk1))
% 0.57/1.15 | ~ (ssList @ X1)
% 0.57/1.15 | ~ (ssItem @ X0))),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/1.15 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/1.15 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/1.15 thf(zip_derived_cl1436, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (((app @ (cons @ X0 @ nil) @ X1) != (sk2))
% 0.57/1.15 | ((cons @ X0 @ nil) != (sk1))
% 0.57/1.15 | ~ (ssList @ X1)
% 0.57/1.15 | ~ (ssItem @ X0))),
% 0.57/1.15 inference('demod', [status(thm)],
% 0.57/1.15 [zip_derived_cl196, zip_derived_cl189, zip_derived_cl191])).
% 0.57/1.15 thf(zip_derived_cl2657, plain,
% 0.57/1.15 (![X0 : $i]:
% 0.57/1.15 (((nil) = (sk1))
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ((app @ sk1 @ X0) != (sk2))
% 0.57/1.15 | ((sk1) != (sk1))
% 0.57/1.15 | ~ (ssList @ X0)
% 0.57/1.15 | ~ (ssItem @ (skaf44 @ sk1)))),
% 0.57/1.15 inference('s_sup-', [status(thm)],
% 0.57/1.15 [zip_derived_cl2638, zip_derived_cl1436])).
% 0.57/1.15 thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 0.57/1.15 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause47])).
% 0.57/1.15 thf(zip_derived_cl2684, plain,
% 0.57/1.15 (![X0 : $i]:
% 0.57/1.15 (((nil) = (sk1))
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ((app @ sk1 @ X0) != (sk2))
% 0.57/1.15 | ((sk1) != (sk1))
% 0.57/1.15 | ~ (ssList @ X0))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl2657, zip_derived_cl46])).
% 0.57/1.15 thf(zip_derived_cl2685, plain,
% 0.57/1.15 (![X0 : $i]:
% 0.57/1.15 (~ (ssList @ X0)
% 0.57/1.15 | ((app @ sk1 @ X0) != (sk2))
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ((nil) = (sk1)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl2684])).
% 0.57/1.15 thf(zip_derived_cl2754, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ (tl @ sk2))
% 0.57/1.15 | ((sk2) != (sk2))
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ((nil) = (sk1)))),
% 0.57/1.15 inference('s_sup-', [status(thm)],
% 0.57/1.15 [zip_derived_cl1547, zip_derived_cl2685])).
% 0.57/1.15 thf(zip_derived_cl2759, plain,
% 0.57/1.15 ((((nil) = (sk1)) | ~ (ssList @ (tl @ sk2)) | ((nil) = (sk2)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl2754])).
% 0.57/1.15 thf(zip_derived_cl2760, plain,
% 0.57/1.15 ((((nil) = (sk2)) | ~ (ssList @ sk2) | ((nil) = (sk1)) | ((nil) = (sk2)))),
% 0.57/1.15 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl2759])).
% 0.57/1.15 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.15 thf(zip_derived_cl2761, plain,
% 0.57/1.15 ((((nil) = (sk2)) | ((nil) = (sk1)) | ((nil) = (sk2)))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl2760, zip_derived_cl186])).
% 0.57/1.15 thf(zip_derived_cl2762, plain, ((((nil) = (sk1)) | ((nil) = (sk2)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl2761])).
% 0.57/1.15 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/1.15 thf(zip_derived_cl2764, plain, ((((nil) = (sk1)) | (neq @ nil @ nil))),
% 0.57/1.15 inference('s_sup+', [status(thm)],
% 0.57/1.15 [zip_derived_cl2762, zip_derived_cl191])).
% 0.57/1.15 thf(clause115, axiom,
% 0.57/1.15 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 0.57/1.15 ( ~( ssList @ U ) ))).
% 0.57/1.15 thf(zip_derived_cl114, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (((X1) != (X0))
% 0.57/1.15 | ~ (neq @ X1 @ X0)
% 0.57/1.15 | ~ (ssList @ X0)
% 0.57/1.15 | ~ (ssList @ X1))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause115])).
% 0.57/1.15 thf(zip_derived_cl1408, plain,
% 0.57/1.15 (![X0 : $i]: (~ (ssList @ X0) | ~ (ssList @ X0) | ~ (neq @ X0 @ X0))),
% 0.57/1.15 inference('eq_res', [status(thm)], [zip_derived_cl114])).
% 0.57/1.15 thf(zip_derived_cl1409, plain,
% 0.57/1.15 (![X0 : $i]: (~ (neq @ X0 @ X0) | ~ (ssList @ X0))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl1408])).
% 0.57/1.15 thf(zip_derived_cl2897, plain, ((((nil) = (sk1)) | ~ (ssList @ nil))),
% 0.57/1.15 inference('s_sup-', [status(thm)],
% 0.57/1.15 [zip_derived_cl2764, zip_derived_cl1409])).
% 0.57/1.15 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.57/1.15 inference('cnf', [status(esa)], [clause8])).
% 0.57/1.15 thf(zip_derived_cl2899, plain, (((nil) = (sk1))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl2897, zip_derived_cl7])).
% 0.57/1.15 thf(zip_derived_cl2908, plain,
% 0.57/1.15 ((((sk2) = (app @ nil @ (tl @ sk2))) | ((nil) = (sk2)))),
% 0.57/1.15 inference('demod', [status(thm)],
% 0.57/1.15 [zip_derived_cl1547, zip_derived_cl2899])).
% 0.57/1.15 thf(zip_derived_cl73, plain,
% 0.57/1.15 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause74])).
% 0.57/1.15 thf(zip_derived_cl2962, plain,
% 0.57/1.15 ((((nil) = (sk2)) | ~ (ssList @ (tl @ sk2)) | ((sk2) = (tl @ sk2)))),
% 0.57/1.15 inference('s_sup+', [status(thm)], [zip_derived_cl2908, zip_derived_cl73])).
% 0.57/1.15 thf(zip_derived_cl3082, plain,
% 0.57/1.15 ((((nil) = (sk2))
% 0.57/1.15 | ~ (ssList @ sk2)
% 0.57/1.15 | ((nil) = (sk2))
% 0.57/1.15 | ((sk2) = (tl @ sk2)))),
% 0.57/1.15 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl2962])).
% 0.57/1.15 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.15 thf(zip_derived_cl3083, plain,
% 0.57/1.15 ((((nil) = (sk2)) | ((nil) = (sk2)) | ((sk2) = (tl @ sk2)))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl3082, zip_derived_cl186])).
% 0.57/1.15 thf(zip_derived_cl3084, plain, ((((sk2) = (tl @ sk2)) | ((nil) = (sk2)))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl3083])).
% 0.57/1.15 thf(zip_derived_cl103, plain,
% 0.57/1.15 (![X0 : $i]:
% 0.57/1.15 (~ (ssList @ X0)
% 0.57/1.15 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 0.57/1.15 | ((nil) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause104])).
% 0.57/1.15 thf(clause99, axiom,
% 0.57/1.15 (( ( cons @ U @ V ) != ( V ) ) | ( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ))).
% 0.57/1.15 thf(zip_derived_cl98, plain,
% 0.57/1.15 (![X0 : $i, X1 : $i]:
% 0.57/1.15 (((cons @ X1 @ X0) != (X0)) | ~ (ssItem @ X1) | ~ (ssList @ X0))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause99])).
% 0.57/1.15 thf(zip_derived_cl1540, plain,
% 0.57/1.15 (![X0 : $i]:
% 0.57/1.15 (((nil) = (X0))
% 0.57/1.15 | ~ (ssList @ X0)
% 0.57/1.15 | ((X0) != (tl @ X0))
% 0.57/1.15 | ~ (ssItem @ (hd @ X0))
% 0.57/1.15 | ~ (ssList @ (tl @ X0)))),
% 0.57/1.15 inference('s_sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl98])).
% 0.57/1.15 thf(zip_derived_cl75, plain,
% 0.57/1.15 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause76])).
% 0.57/1.15 thf(zip_derived_cl1575, plain,
% 0.57/1.15 (![X0 : $i]:
% 0.57/1.15 (~ (ssList @ (tl @ X0))
% 0.57/1.15 | ((X0) != (tl @ X0))
% 0.57/1.15 | ~ (ssList @ X0)
% 0.57/1.15 | ((nil) = (X0)))),
% 0.57/1.15 inference('clc', [status(thm)], [zip_derived_cl1540, zip_derived_cl75])).
% 0.57/1.15 thf(zip_derived_cl74, plain,
% 0.57/1.15 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 0.57/1.15 inference('cnf', [status(esa)], [clause75])).
% 0.57/1.15 thf(zip_derived_cl1576, plain,
% 0.57/1.15 (![X0 : $i]: (((nil) = (X0)) | ~ (ssList @ X0) | ((X0) != (tl @ X0)))),
% 0.57/1.15 inference('clc', [status(thm)], [zip_derived_cl1575, zip_derived_cl74])).
% 0.57/1.15 thf(zip_derived_cl3087, plain,
% 0.57/1.15 ((((nil) = (sk2)) | ((nil) = (sk2)) | ~ (ssList @ sk2) | ((sk2) != (sk2)))),
% 0.57/1.15 inference('s_sup-', [status(thm)],
% 0.57/1.15 [zip_derived_cl3084, zip_derived_cl1576])).
% 0.57/1.15 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.57/1.15 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.15 thf(zip_derived_cl3096, plain,
% 0.57/1.15 ((((nil) = (sk2)) | ((nil) = (sk2)) | ((sk2) != (sk2)))),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl3087, zip_derived_cl186])).
% 0.57/1.15 thf(zip_derived_cl3097, plain, (((nil) = (sk2))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl3096])).
% 0.57/1.15 thf(zip_derived_cl3107, plain, ( (neq @ nil @ nil)),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl3097])).
% 0.57/1.15 thf(zip_derived_cl1409, plain,
% 0.57/1.15 (![X0 : $i]: (~ (neq @ X0 @ X0) | ~ (ssList @ X0))),
% 0.57/1.15 inference('simplify', [status(thm)], [zip_derived_cl1408])).
% 0.57/1.15 thf(zip_derived_cl3120, plain, (~ (ssList @ nil)),
% 0.57/1.15 inference('s_sup-', [status(thm)],
% 0.57/1.15 [zip_derived_cl3107, zip_derived_cl1409])).
% 0.57/1.15 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.57/1.15 inference('cnf', [status(esa)], [clause8])).
% 0.57/1.15 thf(zip_derived_cl3122, plain, ($false),
% 0.57/1.15 inference('demod', [status(thm)], [zip_derived_cl3120, zip_derived_cl7])).
% 0.57/1.15
% 0.57/1.15 % SZS output end Refutation
% 0.57/1.15
% 0.57/1.15
% 0.57/1.15 % Terminating...
% 0.59/1.27 % Runner terminated.
% 0.59/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------