TSTP Solution File: SWC397-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC397-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Lm5Xd5py5h true
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:31:18 EDT 2023
% Result : Unsatisfiable 13.36s 2.50s
% Output : Refutation 13.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC397-1 : TPTP v8.1.2. 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.Lm5Xd5py5h true
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 16:49:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.19/0.63 % Total configuration time : 435
% 0.19/0.63 % Estimated wc time : 1092
% 0.19/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.97/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.97/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.97/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.97/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.97/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 13.36/2.50 % Solved by fo/fo3_bce.sh.
% 13.36/2.50 % BCE start: 43
% 13.36/2.50 % BCE eliminated: 2
% 13.36/2.50 % PE start: 41
% 13.36/2.50 logic: eq
% 13.36/2.50 % PE eliminated: -2
% 13.36/2.50 % done 2629 iterations in 1.784s
% 13.36/2.50 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 13.36/2.50 % SZS output start Refutation
% 13.36/2.50 thf(nil_type, type, nil: $i).
% 13.36/2.50 thf(cons_type, type, cons: $i > $i > $i).
% 13.36/2.50 thf(sk2_type, type, sk2: $i).
% 13.36/2.50 thf(sk6_type, type, sk6: $i).
% 13.36/2.50 thf(sk4_type, type, sk4: $i).
% 13.36/2.50 thf(memberP_type, type, memberP: $i > $i > $o).
% 13.36/2.50 thf(ssItem_type, type, ssItem: $i > $o).
% 13.36/2.50 thf(sk5_type, type, sk5: $i).
% 13.36/2.50 thf(sk3_type, type, sk3: $i).
% 13.36/2.50 thf(neq_type, type, neq: $i > $i > $o).
% 13.36/2.50 thf(app_type, type, app: $i > $i > $i).
% 13.36/2.50 thf(ssList_type, type, ssList: $i > $o).
% 13.36/2.50 thf(sk7_type, type, sk7: $i).
% 13.36/2.50 thf(sk1_type, type, sk1: $i).
% 13.36/2.50 thf(co1_8, conjecture, (~( memberP @ sk1 @ sk5 ))).
% 13.36/2.50 thf(zf_stmt_0, negated_conjecture, (memberP @ sk1 @ sk5),
% 13.36/2.50 inference('cnf.neg', [status(esa)], [co1_8])).
% 13.36/2.50 thf(zip_derived_cl35, plain, ( (memberP @ sk1 @ sk5)),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.36/2.50 thf(co1_10, conjecture,
% 13.36/2.50 (~( ( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) ) ))).
% 13.36/2.50 thf(zf_stmt_1, negated_conjecture,
% 13.36/2.50 (( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) )),
% 13.36/2.50 inference('cnf.neg', [status(esa)], [co1_10])).
% 13.36/2.50 thf(zip_derived_cl33, plain, ((((nil) != (sk4)) | ((nil) = (sk3)))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 13.36/2.50 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 13.36/2.50 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 13.36/2.50 inference('cnf.neg', [status(esa)], [co1_5])).
% 13.36/2.50 thf(zip_derived_cl38, plain, (((sk2) = (sk4))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.36/2.50 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 13.36/2.50 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 13.36/2.50 inference('cnf.neg', [status(esa)], [co1_6])).
% 13.36/2.50 thf(zip_derived_cl37, plain, (((sk1) = (sk3))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_3])).
% 13.36/2.50 thf(zip_derived_cl257, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl33, zip_derived_cl38, zip_derived_cl37])).
% 13.36/2.50 thf(co1_9, conjecture, (memberP @ sk2 @ sk5)).
% 13.36/2.50 thf(zf_stmt_4, negated_conjecture, (~( memberP @ sk2 @ sk5 )),
% 13.36/2.50 inference('cnf.neg', [status(esa)], [co1_9])).
% 13.36/2.50 thf(zip_derived_cl34, plain, (~ (memberP @ sk2 @ sk5)),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.36/2.50 thf(clause100, axiom,
% 13.36/2.50 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 13.36/2.50 ( ( V ) = ( U ) ))).
% 13.36/2.50 thf(zip_derived_cl8, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i]:
% 13.36/2.50 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause100])).
% 13.36/2.50 thf(co1_14, conjecture,
% 13.36/2.50 (~( ( ~( neq @ sk4 @ nil ) ) |
% 13.36/2.50 ( ( app @ sk7 @ ( cons @ sk6 @ nil ) ) = ( sk4 ) ) ))).
% 13.36/2.50 thf(zf_stmt_5, negated_conjecture,
% 13.36/2.50 (( ~( neq @ sk4 @ nil ) ) |
% 13.36/2.50 ( ( app @ sk7 @ ( cons @ sk6 @ nil ) ) = ( sk4 ) )),
% 13.36/2.50 inference('cnf.neg', [status(esa)], [co1_14])).
% 13.36/2.50 thf(zip_derived_cl29, plain,
% 13.36/2.50 ((~ (neq @ sk4 @ nil) | ((app @ sk7 @ (cons @ sk6 @ nil)) = (sk4)))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 13.36/2.50 thf(zip_derived_cl249, plain,
% 13.36/2.50 ((((sk4) = (nil))
% 13.36/2.50 | ~ (ssList @ sk4)
% 13.36/2.50 | ~ (ssList @ nil)
% 13.36/2.50 | ((app @ sk7 @ (cons @ sk6 @ nil)) = (sk4)))),
% 13.36/2.50 inference('dp-resolution', [status(thm)],
% 13.36/2.50 [zip_derived_cl8, zip_derived_cl29])).
% 13.36/2.50 thf(zip_derived_cl38, plain, (((sk2) = (sk4))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.36/2.50 thf(zip_derived_cl38, plain, (((sk2) = (sk4))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.36/2.50 thf(co1_4, conjecture, (~( ssList @ sk4 ))).
% 13.36/2.50 thf(zf_stmt_6, negated_conjecture, (ssList @ sk4),
% 13.36/2.50 inference('cnf.neg', [status(esa)], [co1_4])).
% 13.36/2.50 thf(zip_derived_cl39, plain, ( (ssList @ sk4)),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_6])).
% 13.36/2.50 thf(zip_derived_cl38, plain, (((sk2) = (sk4))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.36/2.50 thf(zip_derived_cl258, plain, ( (ssList @ sk2)),
% 13.36/2.50 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl38])).
% 13.36/2.50 thf(clause8, axiom, (ssList @ nil)).
% 13.36/2.50 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 13.36/2.50 inference('cnf', [status(esa)], [clause8])).
% 13.36/2.50 thf(zip_derived_cl38, plain, (((sk2) = (sk4))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.36/2.50 thf(zip_derived_cl260, plain,
% 13.36/2.50 ((((sk2) = (nil)) | ((app @ sk7 @ (cons @ sk6 @ nil)) = (sk2)))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl249, zip_derived_cl38, zip_derived_cl38,
% 13.36/2.50 zip_derived_cl258, zip_derived_cl0, zip_derived_cl38])).
% 13.36/2.50 thf(clause140, axiom,
% 13.36/2.50 (( ~( memberP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 13.36/2.50 ( ~( ssItem @ V ) ) | ( memberP @ ( app @ U @ W ) @ V ))).
% 13.36/2.50 thf(zip_derived_cl17, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.36/2.50 (~ (memberP @ X0 @ X1)
% 13.36/2.50 | ~ (ssList @ X2)
% 13.36/2.50 | ~ (ssList @ X0)
% 13.36/2.50 | ~ (ssItem @ X1)
% 13.36/2.50 | (memberP @ (app @ X0 @ X2) @ X1))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause140])).
% 13.36/2.50 thf(zip_derived_cl609, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 ( (memberP @ sk2 @ X0)
% 13.36/2.50 | ((sk2) = (nil))
% 13.36/2.50 | ~ (ssItem @ X0)
% 13.36/2.50 | ~ (ssList @ sk7)
% 13.36/2.50 | ~ (ssList @ (cons @ sk6 @ nil))
% 13.36/2.50 | ~ (memberP @ sk7 @ X0))),
% 13.36/2.50 inference('sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl17])).
% 13.36/2.50 thf(zip_derived_cl8, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i]:
% 13.36/2.50 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause100])).
% 13.36/2.50 thf(co1_12, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk7 ) ))).
% 13.36/2.50 thf(zf_stmt_7, negated_conjecture,
% 13.36/2.50 (( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk7 )),
% 13.36/2.50 inference('cnf.neg', [status(esa)], [co1_12])).
% 13.36/2.50 thf(zip_derived_cl31, plain, ((~ (neq @ sk4 @ nil) | (ssList @ sk7))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_7])).
% 13.36/2.50 thf(zip_derived_cl251, plain,
% 13.36/2.50 ((((sk4) = (nil)) | ~ (ssList @ sk4) | ~ (ssList @ nil) | (ssList @ sk7))),
% 13.36/2.50 inference('dp-resolution', [status(thm)],
% 13.36/2.50 [zip_derived_cl8, zip_derived_cl31])).
% 13.36/2.50 thf(zip_derived_cl38, plain, (((sk2) = (sk4))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.36/2.50 thf(zip_derived_cl38, plain, (((sk2) = (sk4))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.36/2.50 thf(zip_derived_cl258, plain, ( (ssList @ sk2)),
% 13.36/2.50 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl38])).
% 13.36/2.50 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 13.36/2.50 inference('cnf', [status(esa)], [clause8])).
% 13.36/2.50 thf(zip_derived_cl286, plain, ((((sk2) = (nil)) | (ssList @ sk7))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl251, zip_derived_cl38, zip_derived_cl38,
% 13.36/2.50 zip_derived_cl258, zip_derived_cl0])).
% 13.36/2.50 thf(zip_derived_cl3108, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 (~ (memberP @ sk7 @ X0)
% 13.36/2.50 | ~ (ssList @ (cons @ sk6 @ nil))
% 13.36/2.50 | ~ (ssItem @ X0)
% 13.36/2.50 | ((sk2) = (nil))
% 13.36/2.50 | (memberP @ sk2 @ X0))),
% 13.36/2.50 inference('clc', [status(thm)], [zip_derived_cl609, zip_derived_cl286])).
% 13.36/2.50 thf(zip_derived_cl8, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i]:
% 13.36/2.50 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause100])).
% 13.36/2.50 thf(co1_13, conjecture,
% 13.36/2.50 (~( ( ~( neq @ sk4 @ nil ) ) |
% 13.36/2.50 ( ( app @ ( cons @ sk6 @ nil ) @ sk7 ) = ( sk3 ) ) ))).
% 13.36/2.50 thf(zf_stmt_8, negated_conjecture,
% 13.36/2.50 (( ~( neq @ sk4 @ nil ) ) |
% 13.36/2.50 ( ( app @ ( cons @ sk6 @ nil ) @ sk7 ) = ( sk3 ) )),
% 13.36/2.50 inference('cnf.neg', [status(esa)], [co1_13])).
% 13.36/2.50 thf(zip_derived_cl30, plain,
% 13.36/2.50 ((~ (neq @ sk4 @ nil) | ((app @ (cons @ sk6 @ nil) @ sk7) = (sk3)))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_8])).
% 13.36/2.50 thf(zip_derived_cl250, plain,
% 13.36/2.50 ((((sk4) = (nil))
% 13.36/2.50 | ~ (ssList @ sk4)
% 13.36/2.50 | ~ (ssList @ nil)
% 13.36/2.50 | ((app @ (cons @ sk6 @ nil) @ sk7) = (sk3)))),
% 13.36/2.50 inference('dp-resolution', [status(thm)],
% 13.36/2.50 [zip_derived_cl8, zip_derived_cl30])).
% 13.36/2.50 thf(zip_derived_cl38, plain, (((sk2) = (sk4))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.36/2.50 thf(zip_derived_cl38, plain, (((sk2) = (sk4))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.36/2.50 thf(zip_derived_cl258, plain, ( (ssList @ sk2)),
% 13.36/2.50 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl38])).
% 13.36/2.50 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 13.36/2.50 inference('cnf', [status(esa)], [clause8])).
% 13.36/2.50 thf(zip_derived_cl37, plain, (((sk1) = (sk3))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_3])).
% 13.36/2.50 thf(zip_derived_cl261, plain,
% 13.36/2.50 ((((sk2) = (nil)) | ((app @ (cons @ sk6 @ nil) @ sk7) = (sk1)))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl250, zip_derived_cl38, zip_derived_cl38,
% 13.36/2.50 zip_derived_cl258, zip_derived_cl0, zip_derived_cl37])).
% 13.36/2.50 thf(clause120, axiom,
% 13.36/2.50 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 13.36/2.50 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 13.36/2.50 thf(zip_derived_cl14, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i]:
% 13.36/2.50 (~ (ssItem @ X0)
% 13.36/2.50 | ~ (ssList @ X1)
% 13.36/2.50 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause120])).
% 13.36/2.50 thf(zip_derived_cl389, plain,
% 13.36/2.50 ((((sk1) = (cons @ sk6 @ sk7))
% 13.36/2.50 | ((sk2) = (nil))
% 13.36/2.50 | ~ (ssList @ sk7)
% 13.36/2.50 | ~ (ssItem @ sk6))),
% 13.36/2.50 inference('sup+', [status(thm)], [zip_derived_cl261, zip_derived_cl14])).
% 13.36/2.50 thf(zip_derived_cl286, plain, ((((sk2) = (nil)) | (ssList @ sk7))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl251, zip_derived_cl38, zip_derived_cl38,
% 13.36/2.50 zip_derived_cl258, zip_derived_cl0])).
% 13.36/2.50 thf(zip_derived_cl488, plain,
% 13.36/2.50 ((~ (ssItem @ sk6) | ((sk2) = (nil)) | ((sk1) = (cons @ sk6 @ sk7)))),
% 13.36/2.50 inference('clc', [status(thm)], [zip_derived_cl389, zip_derived_cl286])).
% 13.36/2.50 thf(zip_derived_cl8, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i]:
% 13.36/2.50 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause100])).
% 13.36/2.50 thf(co1_11, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk6 ) ))).
% 13.36/2.50 thf(zf_stmt_9, negated_conjecture,
% 13.36/2.50 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk6 )),
% 13.36/2.50 inference('cnf.neg', [status(esa)], [co1_11])).
% 13.36/2.50 thf(zip_derived_cl32, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk6))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_9])).
% 13.36/2.50 thf(zip_derived_cl252, plain,
% 13.36/2.50 ((((sk4) = (nil)) | ~ (ssList @ sk4) | ~ (ssList @ nil) | (ssItem @ sk6))),
% 13.36/2.50 inference('dp-resolution', [status(thm)],
% 13.36/2.50 [zip_derived_cl8, zip_derived_cl32])).
% 13.36/2.50 thf(zip_derived_cl38, plain, (((sk2) = (sk4))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.36/2.50 thf(zip_derived_cl38, plain, (((sk2) = (sk4))),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 13.36/2.50 thf(zip_derived_cl258, plain, ( (ssList @ sk2)),
% 13.36/2.50 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl38])).
% 13.36/2.50 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 13.36/2.50 inference('cnf', [status(esa)], [clause8])).
% 13.36/2.50 thf(zip_derived_cl292, plain, ((((sk2) = (nil)) | (ssItem @ sk6))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl252, zip_derived_cl38, zip_derived_cl38,
% 13.36/2.50 zip_derived_cl258, zip_derived_cl0])).
% 13.36/2.50 thf(zip_derived_cl489, plain,
% 13.36/2.50 ((((sk1) = (cons @ sk6 @ sk7)) | ((sk2) = (nil)))),
% 13.36/2.50 inference('clc', [status(thm)], [zip_derived_cl488, zip_derived_cl292])).
% 13.36/2.50 thf(clause161, axiom,
% 13.36/2.50 (( ~( memberP @ ( cons @ U @ V ) @ W ) ) | ( ~( ssList @ V ) ) |
% 13.36/2.50 ( ~( ssItem @ U ) ) | ( ~( ssItem @ W ) ) | ( memberP @ V @ W ) |
% 13.36/2.50 ( ( W ) = ( U ) ))).
% 13.36/2.50 thf(zip_derived_cl25, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.36/2.50 (~ (memberP @ (cons @ X0 @ X1) @ X2)
% 13.36/2.50 | ~ (ssList @ X1)
% 13.36/2.50 | ~ (ssItem @ X0)
% 13.36/2.50 | ~ (ssItem @ X2)
% 13.36/2.50 | (memberP @ X1 @ X2)
% 13.36/2.50 | ((X2) = (X0)))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause161])).
% 13.36/2.50 thf(zip_derived_cl649, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 (~ (memberP @ sk1 @ X0)
% 13.36/2.50 | ((sk2) = (nil))
% 13.36/2.50 | ((X0) = (sk6))
% 13.36/2.50 | (memberP @ sk7 @ X0)
% 13.36/2.50 | ~ (ssItem @ X0)
% 13.36/2.50 | ~ (ssItem @ sk6)
% 13.36/2.50 | ~ (ssList @ sk7))),
% 13.36/2.50 inference('sup-', [status(thm)], [zip_derived_cl489, zip_derived_cl25])).
% 13.36/2.50 thf(zip_derived_cl292, plain, ((((sk2) = (nil)) | (ssItem @ sk6))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl252, zip_derived_cl38, zip_derived_cl38,
% 13.36/2.50 zip_derived_cl258, zip_derived_cl0])).
% 13.36/2.50 thf(zip_derived_cl3417, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 (~ (ssList @ sk7)
% 13.36/2.50 | ~ (ssItem @ X0)
% 13.36/2.50 | (memberP @ sk7 @ X0)
% 13.36/2.50 | ((X0) = (sk6))
% 13.36/2.50 | ((sk2) = (nil))
% 13.36/2.50 | ~ (memberP @ sk1 @ X0))),
% 13.36/2.50 inference('clc', [status(thm)], [zip_derived_cl649, zip_derived_cl292])).
% 13.36/2.50 thf(zip_derived_cl286, plain, ((((sk2) = (nil)) | (ssList @ sk7))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl251, zip_derived_cl38, zip_derived_cl38,
% 13.36/2.50 zip_derived_cl258, zip_derived_cl0])).
% 13.36/2.50 thf(zip_derived_cl3418, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 (~ (memberP @ sk1 @ X0)
% 13.36/2.50 | ((sk2) = (nil))
% 13.36/2.50 | ((X0) = (sk6))
% 13.36/2.50 | (memberP @ sk7 @ X0)
% 13.36/2.50 | ~ (ssItem @ X0))),
% 13.36/2.50 inference('clc', [status(thm)], [zip_derived_cl3417, zip_derived_cl286])).
% 13.36/2.50 thf(zip_derived_cl3422, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 ( (memberP @ sk2 @ X0)
% 13.36/2.50 | ((sk2) = (nil))
% 13.36/2.50 | ~ (ssItem @ X0)
% 13.36/2.50 | ~ (ssList @ (cons @ sk6 @ nil))
% 13.36/2.50 | ~ (ssItem @ X0)
% 13.36/2.50 | ((X0) = (sk6))
% 13.36/2.50 | ((sk2) = (nil))
% 13.36/2.50 | ~ (memberP @ sk1 @ X0))),
% 13.36/2.50 inference('sup+', [status(thm)], [zip_derived_cl3108, zip_derived_cl3418])).
% 13.36/2.50 thf(zip_derived_cl3424, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 (~ (memberP @ sk1 @ X0)
% 13.36/2.50 | ((X0) = (sk6))
% 13.36/2.50 | ~ (ssList @ (cons @ sk6 @ nil))
% 13.36/2.50 | ~ (ssItem @ X0)
% 13.36/2.50 | ((sk2) = (nil))
% 13.36/2.50 | (memberP @ sk2 @ X0))),
% 13.36/2.50 inference('simplify', [status(thm)], [zip_derived_cl3422])).
% 13.36/2.50 thf(clause138, axiom,
% 13.36/2.50 (( ( U ) != ( V ) ) | ( ~( ssList @ W ) ) | ( ~( ssItem @ V ) ) |
% 13.36/2.50 ( ~( ssItem @ U ) ) | ( memberP @ ( cons @ V @ W ) @ U ))).
% 13.36/2.50 thf(zip_derived_cl15, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.36/2.50 (((X1) != (X0))
% 13.36/2.50 | ~ (ssList @ X2)
% 13.36/2.50 | ~ (ssItem @ X0)
% 13.36/2.50 | ~ (ssItem @ X1)
% 13.36/2.50 | (memberP @ (cons @ X0 @ X2) @ X1))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause138])).
% 13.36/2.50 thf(zip_derived_cl260, plain,
% 13.36/2.50 ((((sk2) = (nil)) | ((app @ sk7 @ (cons @ sk6 @ nil)) = (sk2)))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl249, zip_derived_cl38, zip_derived_cl38,
% 13.36/2.50 zip_derived_cl258, zip_derived_cl0, zip_derived_cl38])).
% 13.36/2.50 thf(clause141, axiom,
% 13.36/2.50 (( ~( memberP @ U @ V ) ) | ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) |
% 13.36/2.50 ( ~( ssItem @ V ) ) | ( memberP @ ( app @ W @ U ) @ V ))).
% 13.36/2.50 thf(zip_derived_cl18, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.36/2.50 (~ (memberP @ X0 @ X1)
% 13.36/2.50 | ~ (ssList @ X0)
% 13.36/2.50 | ~ (ssList @ X2)
% 13.36/2.50 | ~ (ssItem @ X1)
% 13.36/2.50 | (memberP @ (app @ X2 @ X0) @ X1))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause141])).
% 13.36/2.50 thf(zip_derived_cl638, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 ( (memberP @ sk2 @ X0)
% 13.36/2.50 | ((sk2) = (nil))
% 13.36/2.50 | ~ (ssItem @ X0)
% 13.36/2.50 | ~ (ssList @ sk7)
% 13.36/2.50 | ~ (ssList @ (cons @ sk6 @ nil))
% 13.36/2.50 | ~ (memberP @ (cons @ sk6 @ nil) @ X0))),
% 13.36/2.50 inference('sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl18])).
% 13.36/2.50 thf(zip_derived_cl286, plain, ((((sk2) = (nil)) | (ssList @ sk7))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl251, zip_derived_cl38, zip_derived_cl38,
% 13.36/2.50 zip_derived_cl258, zip_derived_cl0])).
% 13.36/2.50 thf(zip_derived_cl3334, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 (~ (memberP @ (cons @ sk6 @ nil) @ X0)
% 13.36/2.50 | ~ (ssList @ (cons @ sk6 @ nil))
% 13.36/2.50 | ~ (ssItem @ X0)
% 13.36/2.50 | ((sk2) = (nil))
% 13.36/2.50 | (memberP @ sk2 @ X0))),
% 13.36/2.50 inference('clc', [status(thm)], [zip_derived_cl638, zip_derived_cl286])).
% 13.36/2.50 thf(zip_derived_cl3343, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 (~ (ssItem @ X0)
% 13.36/2.50 | ~ (ssItem @ sk6)
% 13.36/2.50 | ~ (ssList @ nil)
% 13.36/2.50 | ((X0) != (sk6))
% 13.36/2.50 | (memberP @ sk2 @ X0)
% 13.36/2.50 | ((sk2) = (nil))
% 13.36/2.50 | ~ (ssItem @ X0)
% 13.36/2.50 | ~ (ssList @ (cons @ sk6 @ nil)))),
% 13.36/2.50 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl3334])).
% 13.36/2.50 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 13.36/2.50 inference('cnf', [status(esa)], [clause8])).
% 13.36/2.50 thf(zip_derived_cl3353, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 (~ (ssItem @ X0)
% 13.36/2.50 | ~ (ssItem @ sk6)
% 13.36/2.50 | ((X0) != (sk6))
% 13.36/2.50 | (memberP @ sk2 @ X0)
% 13.36/2.50 | ((sk2) = (nil))
% 13.36/2.50 | ~ (ssItem @ X0)
% 13.36/2.50 | ~ (ssList @ (cons @ sk6 @ nil)))),
% 13.36/2.50 inference('demod', [status(thm)], [zip_derived_cl3343, zip_derived_cl0])).
% 13.36/2.50 thf(zip_derived_cl3354, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 (~ (ssList @ (cons @ sk6 @ nil))
% 13.36/2.50 | ((sk2) = (nil))
% 13.36/2.50 | (memberP @ sk2 @ X0)
% 13.36/2.50 | ((X0) != (sk6))
% 13.36/2.50 | ~ (ssItem @ sk6)
% 13.36/2.50 | ~ (ssItem @ X0))),
% 13.36/2.50 inference('simplify', [status(thm)], [zip_derived_cl3353])).
% 13.36/2.50 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 13.36/2.50 thf(zip_derived_cl2, plain,
% 13.36/2.50 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause73])).
% 13.36/2.50 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 13.36/2.50 thf(zip_derived_cl3, plain,
% 13.36/2.50 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause74])).
% 13.36/2.50 thf(clause149, axiom,
% 13.36/2.50 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 13.36/2.50 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 13.36/2.50 thf(zip_derived_cl20, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.36/2.50 (~ (ssList @ X0)
% 13.36/2.50 | ~ (ssList @ X1)
% 13.36/2.50 | ~ (ssList @ X2)
% 13.36/2.50 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause149])).
% 13.36/2.50 thf(zip_derived_cl714, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i]:
% 13.36/2.50 (((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1)))
% 13.36/2.50 | ~ (ssList @ X0)
% 13.36/2.50 | ~ (ssList @ nil)
% 13.36/2.50 | ~ (ssList @ X0)
% 13.36/2.50 | ~ (ssList @ X1))),
% 13.36/2.50 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl20])).
% 13.36/2.50 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 13.36/2.50 inference('cnf', [status(esa)], [clause8])).
% 13.36/2.50 thf(zip_derived_cl722, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i]:
% 13.36/2.50 (((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1)))
% 13.36/2.50 | ~ (ssList @ X0)
% 13.36/2.50 | ~ (ssList @ X0)
% 13.36/2.50 | ~ (ssList @ X1))),
% 13.36/2.50 inference('demod', [status(thm)], [zip_derived_cl714, zip_derived_cl0])).
% 13.36/2.50 thf(zip_derived_cl723, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i]:
% 13.36/2.50 (~ (ssList @ X1)
% 13.36/2.50 | ~ (ssList @ X0)
% 13.36/2.50 | ((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1))))),
% 13.36/2.50 inference('simplify', [status(thm)], [zip_derived_cl722])).
% 13.36/2.50 thf(zip_derived_cl4458, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 (((app @ X0 @ nil) = (app @ nil @ X0))
% 13.36/2.50 | ~ (ssList @ X0)
% 13.36/2.50 | ~ (ssList @ X0)
% 13.36/2.50 | ~ (ssList @ nil))),
% 13.36/2.50 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl723])).
% 13.36/2.50 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 13.36/2.50 inference('cnf', [status(esa)], [clause8])).
% 13.36/2.50 thf(zip_derived_cl4479, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 (((app @ X0 @ nil) = (app @ nil @ X0))
% 13.36/2.50 | ~ (ssList @ X0)
% 13.36/2.50 | ~ (ssList @ X0))),
% 13.36/2.50 inference('demod', [status(thm)], [zip_derived_cl4458, zip_derived_cl0])).
% 13.36/2.50 thf(zip_derived_cl4480, plain,
% 13.36/2.50 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (app @ nil @ X0)))),
% 13.36/2.50 inference('simplify', [status(thm)], [zip_derived_cl4479])).
% 13.36/2.50 thf(zip_derived_cl2, plain,
% 13.36/2.50 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause73])).
% 13.36/2.50 thf(zip_derived_cl4710, plain,
% 13.36/2.50 ((((app @ nil @ nil) = (nil)) | ~ (ssList @ nil) | ~ (ssList @ nil))),
% 13.36/2.50 inference('sup+', [status(thm)], [zip_derived_cl4480, zip_derived_cl2])).
% 13.36/2.50 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 13.36/2.50 inference('cnf', [status(esa)], [clause8])).
% 13.36/2.50 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 13.36/2.50 inference('cnf', [status(esa)], [clause8])).
% 13.36/2.50 thf(zip_derived_cl4793, plain, (((app @ nil @ nil) = (nil))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl4710, zip_derived_cl0, zip_derived_cl0])).
% 13.36/2.50 thf(clause157, axiom,
% 13.36/2.50 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 13.36/2.50 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 13.36/2.50 thf(zip_derived_cl23, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.36/2.50 (~ (ssItem @ X0)
% 13.36/2.50 | ~ (ssList @ X1)
% 13.36/2.50 | ~ (ssList @ X2)
% 13.36/2.50 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause157])).
% 13.36/2.50 thf(clause85, axiom,
% 13.36/2.50 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 13.36/2.50 thf(zip_derived_cl4, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i]:
% 13.36/2.50 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause85])).
% 13.36/2.50 thf(zip_derived_cl762, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.36/2.50 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 13.36/2.50 | ~ (ssList @ X0)
% 13.36/2.50 | ~ (ssList @ X1)
% 13.36/2.50 | ~ (ssItem @ X2)
% 13.36/2.50 | ~ (ssList @ (cons @ X2 @ X1))
% 13.36/2.50 | ~ (ssList @ X0))),
% 13.36/2.50 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl4])).
% 13.36/2.50 thf(zip_derived_cl782, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.36/2.50 (~ (ssList @ (cons @ X2 @ X1))
% 13.36/2.50 | ~ (ssItem @ X2)
% 13.36/2.50 | ~ (ssList @ X1)
% 13.36/2.50 | ~ (ssList @ X0)
% 13.36/2.50 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 13.36/2.50 inference('simplify', [status(thm)], [zip_derived_cl762])).
% 13.36/2.50 thf(clause86, axiom,
% 13.36/2.50 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 13.36/2.50 thf(zip_derived_cl5, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i]:
% 13.36/2.50 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 13.36/2.50 inference('cnf', [status(esa)], [clause86])).
% 13.36/2.50 thf(zip_derived_cl7992, plain,
% 13.36/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.36/2.50 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 13.36/2.50 | ~ (ssList @ X0)
% 13.36/2.50 | ~ (ssList @ X1)
% 13.36/2.50 | ~ (ssItem @ X2))),
% 13.36/2.50 inference('clc', [status(thm)], [zip_derived_cl782, zip_derived_cl5])).
% 13.36/2.50 thf(zip_derived_cl8005, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 ( (ssList @ (cons @ X0 @ nil))
% 13.36/2.50 | ~ (ssItem @ X0)
% 13.36/2.50 | ~ (ssList @ nil)
% 13.36/2.50 | ~ (ssList @ nil))),
% 13.36/2.50 inference('sup+', [status(thm)], [zip_derived_cl4793, zip_derived_cl7992])).
% 13.36/2.50 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 13.36/2.50 inference('cnf', [status(esa)], [clause8])).
% 13.36/2.50 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 13.36/2.50 inference('cnf', [status(esa)], [clause8])).
% 13.36/2.50 thf(zip_derived_cl8046, plain,
% 13.36/2.50 (![X0 : $i]: ( (ssList @ (cons @ X0 @ nil)) | ~ (ssItem @ X0))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl8005, zip_derived_cl0, zip_derived_cl0])).
% 13.36/2.50 thf(zip_derived_cl22323, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 (~ (ssItem @ X0)
% 13.36/2.50 | ~ (ssItem @ sk6)
% 13.36/2.50 | ((X0) != (sk6))
% 13.36/2.50 | (memberP @ sk2 @ X0)
% 13.36/2.50 | ((sk2) = (nil)))),
% 13.36/2.50 inference('clc', [status(thm)], [zip_derived_cl3354, zip_derived_cl8046])).
% 13.36/2.50 thf(zip_derived_cl292, plain, ((((sk2) = (nil)) | (ssItem @ sk6))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl252, zip_derived_cl38, zip_derived_cl38,
% 13.36/2.50 zip_derived_cl258, zip_derived_cl0])).
% 13.36/2.50 thf(zip_derived_cl22324, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 (((sk2) = (nil))
% 13.36/2.50 | (memberP @ sk2 @ X0)
% 13.36/2.50 | ((X0) != (sk6))
% 13.36/2.50 | ~ (ssItem @ X0))),
% 13.36/2.50 inference('clc', [status(thm)], [zip_derived_cl22323, zip_derived_cl292])).
% 13.36/2.50 thf(zip_derived_cl22524, plain,
% 13.36/2.50 (![X0 : $i]:
% 13.36/2.50 ( (memberP @ sk2 @ X0)
% 13.36/2.50 | ((sk2) = (nil))
% 13.36/2.50 | ~ (ssItem @ X0)
% 13.36/2.50 | ~ (ssList @ (cons @ sk6 @ nil))
% 13.36/2.50 | ~ (memberP @ sk1 @ X0))),
% 13.36/2.50 inference('clc', [status(thm)], [zip_derived_cl3424, zip_derived_cl22324])).
% 13.36/2.50 thf(zip_derived_cl22526, plain,
% 13.36/2.50 ((~ (memberP @ sk1 @ sk5)
% 13.36/2.50 | ~ (ssList @ (cons @ sk6 @ nil))
% 13.36/2.50 | ~ (ssItem @ sk5)
% 13.36/2.50 | ((sk2) = (nil)))),
% 13.36/2.50 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl22524])).
% 13.36/2.50 thf(zip_derived_cl35, plain, ( (memberP @ sk1 @ sk5)),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.36/2.50 thf(co1_7, conjecture, (~( ssItem @ sk5 ))).
% 13.36/2.50 thf(zf_stmt_10, negated_conjecture, (ssItem @ sk5),
% 13.36/2.50 inference('cnf.neg', [status(esa)], [co1_7])).
% 13.36/2.50 thf(zip_derived_cl36, plain, ( (ssItem @ sk5)),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_10])).
% 13.36/2.50 thf(zip_derived_cl22528, plain,
% 13.36/2.50 ((~ (ssList @ (cons @ sk6 @ nil)) | ((sk2) = (nil)))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl22526, zip_derived_cl35, zip_derived_cl36])).
% 13.36/2.50 thf(zip_derived_cl8046, plain,
% 13.36/2.50 (![X0 : $i]: ( (ssList @ (cons @ X0 @ nil)) | ~ (ssItem @ X0))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl8005, zip_derived_cl0, zip_derived_cl0])).
% 13.36/2.50 thf(zip_derived_cl22532, plain, ((((sk2) = (nil)) | ~ (ssItem @ sk6))),
% 13.36/2.50 inference('sup+', [status(thm)],
% 13.36/2.50 [zip_derived_cl22528, zip_derived_cl8046])).
% 13.36/2.50 thf(zip_derived_cl292, plain, ((((sk2) = (nil)) | (ssItem @ sk6))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl252, zip_derived_cl38, zip_derived_cl38,
% 13.36/2.50 zip_derived_cl258, zip_derived_cl0])).
% 13.36/2.50 thf(zip_derived_cl22537, plain, (((sk2) = (nil))),
% 13.36/2.50 inference('clc', [status(thm)], [zip_derived_cl22532, zip_derived_cl292])).
% 13.36/2.50 thf(zip_derived_cl22540, plain, ((((nil) != (nil)) | ((nil) = (sk1)))),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl257, zip_derived_cl22537])).
% 13.36/2.50 thf(zip_derived_cl22541, plain, (((nil) = (sk1))),
% 13.36/2.50 inference('simplify', [status(thm)], [zip_derived_cl22540])).
% 13.36/2.50 thf(zip_derived_cl34, plain, (~ (memberP @ sk2 @ sk5)),
% 13.36/2.50 inference('cnf', [status(esa)], [zf_stmt_4])).
% 13.36/2.50 thf(zip_derived_cl22537, plain, (((sk2) = (nil))),
% 13.36/2.50 inference('clc', [status(thm)], [zip_derived_cl22532, zip_derived_cl292])).
% 13.36/2.50 thf(zip_derived_cl22538, plain, (~ (memberP @ nil @ sk5)),
% 13.36/2.50 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl22537])).
% 13.36/2.50 thf(zip_derived_cl22549, plain, ($false),
% 13.36/2.50 inference('demod', [status(thm)],
% 13.36/2.50 [zip_derived_cl35, zip_derived_cl22541, zip_derived_cl22538])).
% 13.36/2.50
% 13.36/2.50 % SZS output end Refutation
% 13.36/2.50
% 13.36/2.50
% 13.36/2.50 % Terminating...
% 13.36/2.55 % Runner terminated.
% 13.36/2.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------