TSTP Solution File: SWC218-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC218-1 : 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.tLkfl8XbmJ true
% Computer : n008.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 21:29:57 EDT 2023
% Result : Unsatisfiable 0.22s 0.77s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC218-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tLkfl8XbmJ true
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 16:27:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % Solved by fo/fo3_bce.sh.
% 0.22/0.77 % BCE start: 33
% 0.22/0.77 % BCE eliminated: 2
% 0.22/0.77 % PE start: 31
% 0.22/0.77 logic: eq
% 0.22/0.77 % PE eliminated: 1
% 0.22/0.77 % done 84 iterations in 0.042s
% 0.22/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.77 % SZS output start Refutation
% 0.22/0.77 thf(nil_type, type, nil: $i).
% 0.22/0.77 thf(cons_type, type, cons: $i > $i > $i).
% 0.22/0.77 thf(sk2_type, type, sk2: $i).
% 0.22/0.77 thf(sk6_type, type, sk6: $i).
% 0.22/0.77 thf(sk4_type, type, sk4: $i).
% 0.22/0.77 thf(ssItem_type, type, ssItem: $i > $o).
% 0.22/0.77 thf(sk5_type, type, sk5: $i).
% 0.22/0.77 thf(sk3_type, type, sk3: $i).
% 0.22/0.77 thf(neq_type, type, neq: $i > $i > $o).
% 0.22/0.77 thf(app_type, type, app: $i > $i > $i).
% 0.22/0.77 thf(ssList_type, type, ssList: $i > $o).
% 0.22/0.77 thf(sk7_type, type, sk7: $i).
% 0.22/0.77 thf(sk1_type, type, sk1: $i).
% 0.22/0.77 thf(clause86, axiom,
% 0.22/0.77 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 0.22/0.77 thf(zip_derived_cl4, plain,
% 0.22/0.77 (![X0 : $i, X1 : $i]:
% 0.22/0.77 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 0.22/0.77 inference('cnf', [status(esa)], [clause86])).
% 0.22/0.77 thf(clause85, axiom,
% 0.22/0.77 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 0.22/0.77 thf(zip_derived_cl3, plain,
% 0.22/0.77 (![X0 : $i, X1 : $i]:
% 0.22/0.77 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 0.22/0.77 inference('cnf', [status(esa)], [clause85])).
% 0.22/0.77 thf(co1_11, conjecture,
% 0.22/0.77 (( app @ ( app @ sk5 @ ( cons @ sk7 @ nil ) ) @ sk6 ) != ( sk3 ))).
% 0.22/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.22/0.77 (( app @ ( app @ sk5 @ ( cons @ sk7 @ nil ) ) @ sk6 ) = ( sk3 )),
% 0.22/0.77 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.22/0.77 thf(zip_derived_cl22, plain,
% 0.22/0.77 (((app @ (app @ sk5 @ (cons @ sk7 @ nil)) @ sk6) = (sk3))),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.22/0.77 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.22/0.77 thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.22/0.77 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.22/0.77 thf(zip_derived_cl27, plain, (((sk1) = (sk3))),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.22/0.77 thf(zip_derived_cl162, plain,
% 0.22/0.77 (((app @ (app @ sk5 @ (cons @ sk7 @ nil)) @ sk6) = (sk1))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl27])).
% 0.22/0.77 thf(clause100, axiom,
% 0.22/0.77 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 0.22/0.77 ( ( V ) = ( U ) ))).
% 0.22/0.77 thf(zip_derived_cl7, plain,
% 0.22/0.77 (![X0 : $i, X1 : $i]:
% 0.22/0.77 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.22/0.77 inference('cnf', [status(esa)], [clause100])).
% 0.22/0.77 thf(co1_12, conjecture, (neq @ sk1 @ nil)).
% 0.22/0.77 thf(zf_stmt_2, negated_conjecture, (~( neq @ sk1 @ nil )),
% 0.22/0.77 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.22/0.77 thf(zip_derived_cl21, plain, (~ (neq @ sk1 @ nil)),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.22/0.77 thf(zip_derived_cl159, plain,
% 0.22/0.77 ((((sk1) = (nil)) | ~ (ssList @ sk1) | ~ (ssList @ nil))),
% 0.22/0.77 inference('dp-resolution', [status(thm)],
% 0.22/0.77 [zip_derived_cl7, zip_derived_cl21])).
% 0.22/0.77 thf(co1_3, conjecture, (~( ssList @ sk3 ))).
% 0.22/0.77 thf(zf_stmt_3, negated_conjecture, (ssList @ sk3),
% 0.22/0.77 inference('cnf.neg', [status(esa)], [co1_3])).
% 0.22/0.77 thf(zip_derived_cl30, plain, ( (ssList @ sk3)),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.22/0.77 thf(zip_derived_cl27, plain, (((sk1) = (sk3))),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.22/0.77 thf(zip_derived_cl164, plain, ( (ssList @ sk1)),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl27])).
% 0.22/0.77 thf(clause8, axiom, (ssList @ nil)).
% 0.22/0.77 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.22/0.77 inference('cnf', [status(esa)], [clause8])).
% 0.22/0.77 thf(zip_derived_cl165, plain, (((sk1) = (nil))),
% 0.22/0.77 inference('demod', [status(thm)],
% 0.22/0.77 [zip_derived_cl159, zip_derived_cl164, zip_derived_cl0])).
% 0.22/0.77 thf(zip_derived_cl167, plain,
% 0.22/0.77 (((app @ (app @ sk5 @ (cons @ sk7 @ nil)) @ sk6) = (nil))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl162, zip_derived_cl165])).
% 0.22/0.77 thf(clause118, axiom,
% 0.22/0.77 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 0.22/0.77 ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.22/0.77 thf(zip_derived_cl11, plain,
% 0.22/0.77 (![X0 : $i, X1 : $i]:
% 0.22/0.77 (((app @ X0 @ X1) != (nil))
% 0.22/0.77 | ~ (ssList @ X1)
% 0.22/0.77 | ~ (ssList @ X0)
% 0.22/0.77 | ((nil) = (X0)))),
% 0.22/0.77 inference('cnf', [status(esa)], [clause118])).
% 0.22/0.77 thf(zip_derived_cl236, plain,
% 0.22/0.77 ((((nil) != (nil))
% 0.22/0.77 | ((nil) = (app @ sk5 @ (cons @ sk7 @ nil)))
% 0.22/0.77 | ~ (ssList @ (app @ sk5 @ (cons @ sk7 @ nil)))
% 0.22/0.77 | ~ (ssList @ sk6))),
% 0.22/0.77 inference('sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl11])).
% 0.22/0.77 thf(co1_8, conjecture, (~( ssList @ sk6 ))).
% 0.22/0.77 thf(zf_stmt_4, negated_conjecture, (ssList @ sk6),
% 0.22/0.77 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.22/0.77 thf(zip_derived_cl25, plain, ( (ssList @ sk6)),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.22/0.77 thf(zip_derived_cl241, plain,
% 0.22/0.77 ((((nil) != (nil))
% 0.22/0.77 | ((nil) = (app @ sk5 @ (cons @ sk7 @ nil)))
% 0.22/0.77 | ~ (ssList @ (app @ sk5 @ (cons @ sk7 @ nil))))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl236, zip_derived_cl25])).
% 0.22/0.77 thf(zip_derived_cl242, plain,
% 0.22/0.77 ((~ (ssList @ (app @ sk5 @ (cons @ sk7 @ nil)))
% 0.22/0.77 | ((nil) = (app @ sk5 @ (cons @ sk7 @ nil))))),
% 0.22/0.77 inference('simplify', [status(thm)], [zip_derived_cl241])).
% 0.22/0.77 thf(co1_9, conjecture, (( app @ sk5 @ sk6 ) != ( sk4 ))).
% 0.22/0.77 thf(zf_stmt_5, negated_conjecture, (( app @ sk5 @ sk6 ) = ( sk4 )),
% 0.22/0.77 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.22/0.77 thf(zip_derived_cl24, plain, (((app @ sk5 @ sk6) = (sk4))),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.22/0.77 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.22/0.77 thf(zf_stmt_6, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.22/0.77 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.22/0.77 thf(zip_derived_cl28, plain, (((sk2) = (sk4))),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.22/0.77 thf(zip_derived_cl161, plain, (((app @ sk5 @ sk6) = (sk2))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl28])).
% 0.22/0.77 thf(zip_derived_cl4, plain,
% 0.22/0.77 (![X0 : $i, X1 : $i]:
% 0.22/0.77 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 0.22/0.77 inference('cnf', [status(esa)], [clause86])).
% 0.22/0.77 thf(zip_derived_cl3, plain,
% 0.22/0.77 (![X0 : $i, X1 : $i]:
% 0.22/0.77 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 0.22/0.77 inference('cnf', [status(esa)], [clause85])).
% 0.22/0.77 thf(zip_derived_cl167, plain,
% 0.22/0.77 (((app @ (app @ sk5 @ (cons @ sk7 @ nil)) @ sk6) = (nil))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl162, zip_derived_cl165])).
% 0.22/0.77 thf(clause119, axiom,
% 0.22/0.77 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 0.22/0.77 ( ~( ssList @ U ) ) | ( ( nil ) = ( V ) ))).
% 0.22/0.77 thf(zip_derived_cl12, plain,
% 0.22/0.77 (![X0 : $i, X1 : $i]:
% 0.22/0.77 (((app @ X0 @ X1) != (nil))
% 0.22/0.77 | ~ (ssList @ X1)
% 0.22/0.77 | ~ (ssList @ X0)
% 0.22/0.77 | ((nil) = (X1)))),
% 0.22/0.77 inference('cnf', [status(esa)], [clause119])).
% 0.22/0.77 thf(zip_derived_cl237, plain,
% 0.22/0.77 ((((nil) != (nil))
% 0.22/0.77 | ((nil) = (sk6))
% 0.22/0.77 | ~ (ssList @ (app @ sk5 @ (cons @ sk7 @ nil)))
% 0.22/0.77 | ~ (ssList @ sk6))),
% 0.22/0.77 inference('sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl12])).
% 0.22/0.77 thf(zip_derived_cl25, plain, ( (ssList @ sk6)),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.22/0.77 thf(zip_derived_cl243, plain,
% 0.22/0.77 ((((nil) != (nil))
% 0.22/0.77 | ((nil) = (sk6))
% 0.22/0.77 | ~ (ssList @ (app @ sk5 @ (cons @ sk7 @ nil))))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl25])).
% 0.22/0.77 thf(zip_derived_cl244, plain,
% 0.22/0.77 ((~ (ssList @ (app @ sk5 @ (cons @ sk7 @ nil))) | ((nil) = (sk6)))),
% 0.22/0.77 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 0.22/0.77 thf(zip_derived_cl268, plain,
% 0.22/0.77 ((~ (ssList @ sk5) | ~ (ssList @ (cons @ sk7 @ nil)) | ((nil) = (sk6)))),
% 0.22/0.77 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl244])).
% 0.22/0.77 thf(co1_7, conjecture, (~( ssList @ sk5 ))).
% 0.22/0.77 thf(zf_stmt_7, negated_conjecture, (ssList @ sk5),
% 0.22/0.77 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.22/0.77 thf(zip_derived_cl26, plain, ( (ssList @ sk5)),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.22/0.77 thf(zip_derived_cl270, plain,
% 0.22/0.77 ((~ (ssList @ (cons @ sk7 @ nil)) | ((nil) = (sk6)))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl268, zip_derived_cl26])).
% 0.22/0.77 thf(zip_derived_cl273, plain,
% 0.22/0.77 ((~ (ssList @ nil) | ~ (ssItem @ sk7) | ((nil) = (sk6)))),
% 0.22/0.77 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl270])).
% 0.22/0.77 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.22/0.77 inference('cnf', [status(esa)], [clause8])).
% 0.22/0.77 thf(co1_10, conjecture, (~( ssItem @ sk7 ))).
% 0.22/0.77 thf(zf_stmt_8, negated_conjecture, (ssItem @ sk7),
% 0.22/0.77 inference('cnf.neg', [status(esa)], [co1_10])).
% 0.22/0.77 thf(zip_derived_cl23, plain, ( (ssItem @ sk7)),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.22/0.77 thf(zip_derived_cl274, plain, (((nil) = (sk6))),
% 0.22/0.77 inference('demod', [status(thm)],
% 0.22/0.77 [zip_derived_cl273, zip_derived_cl0, zip_derived_cl23])).
% 0.22/0.77 thf(zip_derived_cl277, plain, (((app @ sk5 @ nil) = (sk2))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl161, zip_derived_cl274])).
% 0.22/0.77 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 0.22/0.77 thf(zip_derived_cl1, plain,
% 0.22/0.77 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 0.22/0.77 inference('cnf', [status(esa)], [clause73])).
% 0.22/0.77 thf(zip_derived_cl284, plain, ((((sk2) = (sk5)) | ~ (ssList @ sk5))),
% 0.22/0.77 inference('sup+', [status(thm)], [zip_derived_cl277, zip_derived_cl1])).
% 0.22/0.77 thf(zip_derived_cl26, plain, ( (ssList @ sk5)),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.22/0.77 thf(zip_derived_cl291, plain, (((sk2) = (sk5))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl284, zip_derived_cl26])).
% 0.22/0.77 thf(zip_derived_cl291, plain, (((sk2) = (sk5))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl284, zip_derived_cl26])).
% 0.22/0.77 thf(zip_derived_cl512, plain,
% 0.22/0.77 ((~ (ssList @ (app @ sk2 @ (cons @ sk7 @ nil)))
% 0.22/0.77 | ((nil) = (app @ sk2 @ (cons @ sk7 @ nil))))),
% 0.22/0.77 inference('demod', [status(thm)],
% 0.22/0.77 [zip_derived_cl242, zip_derived_cl291, zip_derived_cl291])).
% 0.22/0.77 thf(zip_derived_cl514, plain,
% 0.22/0.77 ((~ (ssList @ sk2)
% 0.22/0.77 | ~ (ssList @ (cons @ sk7 @ nil))
% 0.22/0.77 | ((nil) = (app @ sk2 @ (cons @ sk7 @ nil))))),
% 0.22/0.77 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl512])).
% 0.22/0.77 thf(co1_4, conjecture, (~( ssList @ sk4 ))).
% 0.22/0.77 thf(zf_stmt_9, negated_conjecture, (ssList @ sk4),
% 0.22/0.77 inference('cnf.neg', [status(esa)], [co1_4])).
% 0.22/0.77 thf(zip_derived_cl29, plain, ( (ssList @ sk4)),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.22/0.77 thf(zip_derived_cl28, plain, (((sk2) = (sk4))),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.22/0.77 thf(zip_derived_cl163, plain, ( (ssList @ sk2)),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl28])).
% 0.22/0.77 thf(zip_derived_cl516, plain,
% 0.22/0.77 ((~ (ssList @ (cons @ sk7 @ nil))
% 0.22/0.77 | ((nil) = (app @ sk2 @ (cons @ sk7 @ nil))))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl514, zip_derived_cl163])).
% 0.22/0.77 thf(zip_derived_cl11, plain,
% 0.22/0.77 (![X0 : $i, X1 : $i]:
% 0.22/0.77 (((app @ X0 @ X1) != (nil))
% 0.22/0.77 | ~ (ssList @ X1)
% 0.22/0.77 | ~ (ssList @ X0)
% 0.22/0.77 | ((nil) = (X0)))),
% 0.22/0.77 inference('cnf', [status(esa)], [clause118])).
% 0.22/0.77 thf(zip_derived_cl524, plain,
% 0.22/0.77 ((((nil) != (nil))
% 0.22/0.77 | ~ (ssList @ (cons @ sk7 @ nil))
% 0.22/0.77 | ((nil) = (sk2))
% 0.22/0.77 | ~ (ssList @ sk2)
% 0.22/0.77 | ~ (ssList @ (cons @ sk7 @ nil)))),
% 0.22/0.77 inference('sup-', [status(thm)], [zip_derived_cl516, zip_derived_cl11])).
% 0.22/0.77 thf(zip_derived_cl163, plain, ( (ssList @ sk2)),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl28])).
% 0.22/0.77 thf(zip_derived_cl534, plain,
% 0.22/0.77 ((((nil) != (nil))
% 0.22/0.77 | ~ (ssList @ (cons @ sk7 @ nil))
% 0.22/0.77 | ((nil) = (sk2))
% 0.22/0.77 | ~ (ssList @ (cons @ sk7 @ nil)))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl524, zip_derived_cl163])).
% 0.22/0.77 thf(zip_derived_cl535, plain,
% 0.22/0.77 ((((nil) = (sk2)) | ~ (ssList @ (cons @ sk7 @ nil)))),
% 0.22/0.77 inference('simplify', [status(thm)], [zip_derived_cl534])).
% 0.22/0.77 thf(zip_derived_cl4, plain,
% 0.22/0.77 (![X0 : $i, X1 : $i]:
% 0.22/0.77 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 0.22/0.77 inference('cnf', [status(esa)], [clause86])).
% 0.22/0.77 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 0.22/0.77 thf(zip_derived_cl2, plain,
% 0.22/0.77 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 0.22/0.77 inference('cnf', [status(esa)], [clause74])).
% 0.22/0.77 thf(zip_derived_cl161, plain, (((app @ sk5 @ sk6) = (sk2))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl28])).
% 0.22/0.77 thf(zip_derived_cl11, plain,
% 0.22/0.77 (![X0 : $i, X1 : $i]:
% 0.22/0.77 (((app @ X0 @ X1) != (nil))
% 0.22/0.77 | ~ (ssList @ X1)
% 0.22/0.77 | ~ (ssList @ X0)
% 0.22/0.77 | ((nil) = (X0)))),
% 0.22/0.77 inference('cnf', [status(esa)], [clause118])).
% 0.22/0.77 thf(zip_derived_cl173, plain,
% 0.22/0.77 ((((sk2) != (nil))
% 0.22/0.77 | ((nil) = (sk5))
% 0.22/0.77 | ~ (ssList @ sk5)
% 0.22/0.77 | ~ (ssList @ sk6))),
% 0.22/0.77 inference('sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl11])).
% 0.22/0.77 thf(zip_derived_cl26, plain, ( (ssList @ sk5)),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.22/0.77 thf(zip_derived_cl25, plain, ( (ssList @ sk6)),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.22/0.77 thf(zip_derived_cl178, plain, ((((sk2) != (nil)) | ((nil) = (sk5)))),
% 0.22/0.77 inference('demod', [status(thm)],
% 0.22/0.77 [zip_derived_cl173, zip_derived_cl26, zip_derived_cl25])).
% 0.22/0.77 thf(zip_derived_cl178, plain, ((((sk2) != (nil)) | ((nil) = (sk5)))),
% 0.22/0.77 inference('demod', [status(thm)],
% 0.22/0.77 [zip_derived_cl173, zip_derived_cl26, zip_derived_cl25])).
% 0.22/0.77 thf(zip_derived_cl161, plain, (((app @ sk5 @ sk6) = (sk2))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl28])).
% 0.22/0.77 thf(zip_derived_cl180, plain,
% 0.22/0.77 ((((app @ nil @ sk6) = (sk2)) | ((sk2) != (nil)))),
% 0.22/0.77 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl161])).
% 0.22/0.77 thf(zip_derived_cl181, plain,
% 0.22/0.77 ((((app @ nil @ sk6) = (nil)) | ((sk2) != (nil)))),
% 0.22/0.77 inference('local_rewriting', [status(thm)], [zip_derived_cl180])).
% 0.22/0.77 thf(zip_derived_cl2, plain,
% 0.22/0.77 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 0.22/0.77 inference('cnf', [status(esa)], [clause74])).
% 0.22/0.77 thf(zip_derived_cl184, plain,
% 0.22/0.77 ((((nil) = (sk6)) | ((sk2) != (nil)) | ~ (ssList @ sk6))),
% 0.22/0.77 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl2])).
% 0.22/0.77 thf(zip_derived_cl25, plain, ( (ssList @ sk6)),
% 0.22/0.77 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.22/0.77 thf(zip_derived_cl187, plain, ((((nil) = (sk6)) | ((sk2) != (nil)))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl25])).
% 0.22/0.77 thf(zip_derived_cl167, plain,
% 0.22/0.77 (((app @ (app @ sk5 @ (cons @ sk7 @ nil)) @ sk6) = (nil))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl162, zip_derived_cl165])).
% 0.22/0.77 thf(zip_derived_cl238, plain,
% 0.22/0.77 ((((app @ (app @ sk5 @ (cons @ sk7 @ nil)) @ nil) = (nil))
% 0.22/0.77 | ((sk2) != (nil)))),
% 0.22/0.77 inference('sup+', [status(thm)], [zip_derived_cl187, zip_derived_cl167])).
% 0.22/0.77 thf(zip_derived_cl249, plain,
% 0.22/0.77 ((((app @ (app @ nil @ (cons @ sk7 @ nil)) @ nil) = (nil))
% 0.22/0.77 | ((sk2) != (nil))
% 0.22/0.77 | ((sk2) != (nil)))),
% 0.22/0.77 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl238])).
% 0.22/0.77 thf(zip_derived_cl250, plain,
% 0.22/0.77 ((((sk2) != (nil))
% 0.22/0.77 | ((app @ (app @ nil @ (cons @ sk7 @ nil)) @ nil) = (nil)))),
% 0.22/0.77 inference('simplify', [status(thm)], [zip_derived_cl249])).
% 0.22/0.77 thf(zip_derived_cl332, plain,
% 0.22/0.77 ((((app @ (cons @ sk7 @ nil) @ nil) = (nil))
% 0.22/0.77 | ~ (ssList @ (cons @ sk7 @ nil))
% 0.22/0.77 | ((sk2) != (nil)))),
% 0.22/0.77 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl250])).
% 0.22/0.77 thf(zip_derived_cl11, plain,
% 0.22/0.77 (![X0 : $i, X1 : $i]:
% 0.22/0.77 (((app @ X0 @ X1) != (nil))
% 0.22/0.77 | ~ (ssList @ X1)
% 0.22/0.77 | ~ (ssList @ X0)
% 0.22/0.77 | ((nil) = (X0)))),
% 0.22/0.77 inference('cnf', [status(esa)], [clause118])).
% 0.22/0.77 thf(zip_derived_cl427, plain,
% 0.22/0.77 ((((nil) != (nil))
% 0.22/0.77 | ((sk2) != (nil))
% 0.22/0.77 | ~ (ssList @ (cons @ sk7 @ nil))
% 0.22/0.77 | ((nil) = (cons @ sk7 @ nil))
% 0.22/0.77 | ~ (ssList @ (cons @ sk7 @ nil))
% 0.22/0.77 | ~ (ssList @ nil))),
% 0.22/0.77 inference('sup-', [status(thm)], [zip_derived_cl332, zip_derived_cl11])).
% 0.22/0.77 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.22/0.77 inference('cnf', [status(esa)], [clause8])).
% 0.22/0.77 thf(zip_derived_cl435, plain,
% 0.22/0.77 ((((nil) != (nil))
% 0.22/0.77 | ((sk2) != (nil))
% 0.22/0.77 | ~ (ssList @ (cons @ sk7 @ nil))
% 0.22/0.77 | ((nil) = (cons @ sk7 @ nil))
% 0.22/0.77 | ~ (ssList @ (cons @ sk7 @ nil)))),
% 0.22/0.77 inference('demod', [status(thm)], [zip_derived_cl427, zip_derived_cl0])).
% 0.22/0.77 thf(zip_derived_cl436, plain,
% 0.22/0.77 ((((nil) = (cons @ sk7 @ nil))
% 0.22/0.77 | ~ (ssList @ (cons @ sk7 @ nil))
% 0.22/0.77 | ((sk2) != (nil)))),
% 0.22/0.77 inference('simplify', [status(thm)], [zip_derived_cl435])).
% 0.22/0.77 thf(zip_derived_cl446, plain,
% 0.22/0.77 ((~ (ssList @ nil)
% 0.22/0.77 | ~ (ssItem @ sk7)
% 0.22/0.77 | ((sk2) != (nil))
% 0.22/0.77 | ((nil) = (cons @ sk7 @ nil)))),
% 0.22/0.78 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl436])).
% 0.22/0.78 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.22/0.78 inference('cnf', [status(esa)], [clause8])).
% 0.22/0.78 thf(zip_derived_cl23, plain, ( (ssItem @ sk7)),
% 0.22/0.78 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.22/0.78 thf(zip_derived_cl447, plain,
% 0.22/0.78 ((((sk2) != (nil)) | ((nil) = (cons @ sk7 @ nil)))),
% 0.22/0.78 inference('demod', [status(thm)],
% 0.22/0.78 [zip_derived_cl446, zip_derived_cl0, zip_derived_cl23])).
% 0.22/0.78 thf(clause98, axiom,
% 0.22/0.78 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 0.22/0.78 ( ~( ssList @ V ) ))).
% 0.22/0.78 thf(zip_derived_cl5, plain,
% 0.22/0.78 (![X0 : $i, X1 : $i]:
% 0.22/0.78 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 0.22/0.78 inference('cnf', [status(esa)], [clause98])).
% 0.22/0.78 thf(zip_derived_cl450, plain,
% 0.22/0.78 ((((nil) != (nil))
% 0.22/0.78 | ((sk2) != (nil))
% 0.22/0.78 | ~ (ssList @ nil)
% 0.22/0.78 | ~ (ssItem @ sk7))),
% 0.22/0.78 inference('sup-', [status(thm)], [zip_derived_cl447, zip_derived_cl5])).
% 0.22/0.78 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.22/0.78 inference('cnf', [status(esa)], [clause8])).
% 0.22/0.78 thf(zip_derived_cl23, plain, ( (ssItem @ sk7)),
% 0.22/0.78 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.22/0.78 thf(zip_derived_cl457, plain, ((((nil) != (nil)) | ((sk2) != (nil)))),
% 0.22/0.78 inference('demod', [status(thm)],
% 0.22/0.78 [zip_derived_cl450, zip_derived_cl0, zip_derived_cl23])).
% 0.22/0.78 thf(zip_derived_cl458, plain, (((sk2) != (nil))),
% 0.22/0.78 inference('simplify', [status(thm)], [zip_derived_cl457])).
% 0.22/0.78 thf(zip_derived_cl536, plain, (~ (ssList @ (cons @ sk7 @ nil))),
% 0.22/0.78 inference('simplify_reflect-', [status(thm)],
% 0.22/0.78 [zip_derived_cl535, zip_derived_cl458])).
% 0.22/0.78 thf(zip_derived_cl606, plain, ((~ (ssList @ nil) | ~ (ssItem @ sk7))),
% 0.22/0.78 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl536])).
% 0.22/0.78 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.22/0.78 inference('cnf', [status(esa)], [clause8])).
% 0.22/0.78 thf(zip_derived_cl23, plain, ( (ssItem @ sk7)),
% 0.22/0.78 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.22/0.78 thf(zip_derived_cl607, plain, ($false),
% 0.22/0.78 inference('demod', [status(thm)],
% 0.22/0.78 [zip_derived_cl606, zip_derived_cl0, zip_derived_cl23])).
% 0.22/0.78
% 0.22/0.78 % SZS output end Refutation
% 0.22/0.78
% 0.22/0.78
% 0.22/0.78 % Terminating...
% 0.22/0.84 % Runner terminated.
% 0.22/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------