%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC322-1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vitbIqYNHV 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 Oct 2 04:59:22 PM UTC 2025
% Result : Unsatisfiable 1.01s 2.30s
% Output : Refutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.93 % Problem : SWC322-1 : TPTP v9.2.0. Released v2.4.0.
% 0.10/1.01 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vitbIqYNHV true
% 0.12/1.36 % Computer : n008.cluster.edu
% 0.12/1.36 % Model : x86_64 x86_64
% 0.12/1.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/1.36 % Memory : 8042.1875MB
% 0.12/1.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/1.36 % CPULimit : 300
% 0.12/1.36 % WCLimit : 300
% 0.12/1.36 % DateTime : Wed Oct 1 17:12:54 EDT 2025
% 0.12/1.38 % CPUTime :
% 0.12/1.38 % Running portfolio for 300 s
% 0.12/1.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/1.40 % Number of cores: 8
% 0.15/1.42 % Python version: Python 3.6.8
% 0.15/1.43 % Running in FO mode
% 0.35/1.81 % Total configuration time : 435
% 0.35/1.81 % Estimated wc time : 1092
% 0.35/1.81 % Estimated cpu time (7 cpus) : 156.0
% 0.36/2.08 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.37/2.10 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.37/2.12 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.37/2.13 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.37/2.15 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.37/2.16 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.37/2.16 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.01/2.30 % Solved by fo/fo3_bce.sh.
% 1.01/2.30 % BCE start: 33
% 1.01/2.30 % BCE eliminated: 0
% 1.01/2.30 % PE start: 33
% 1.01/2.30 logic: eq
% 1.01/2.30 % PE eliminated: 0
% 1.01/2.30 % done 77 iterations in 0.104s
% 1.01/2.30 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.01/2.30 % SZS output start Refutation
% 1.01/2.30 thf(nil_type, type, nil: $i).
% 1.01/2.30 thf(cons_type, type, cons: $i > $i > $i).
% 1.01/2.30 thf(sk2_type, type, sk2: $i).
% 1.01/2.30 thf(sk6_type, type, sk6: $i).
% 1.01/2.30 thf(sk4_type, type, sk4: $i).
% 1.01/2.30 thf(ssItem_type, type, ssItem: $i > $o).
% 1.01/2.30 thf(sk3_type, type, sk3: $i).
% 1.01/2.30 thf(app_type, type, app: $i > $i > $i).
% 1.01/2.30 thf(ssList_type, type, ssList: $i > $o).
% 1.01/2.30 thf(sk5_type, type, sk5: $i).
% 1.01/2.30 thf(sk1_type, type, sk1: $i).
% 1.01/2.30 thf(co1_9, conjecture, (~( ( ( nil ) = ( sk2 ) ) | ( ssItem @ sk5 ) ))).
% 1.01/2.30 thf(zf_stmt_0, negated_conjecture,
% 1.01/2.30 (( ( nil ) = ( sk2 ) ) | ( ssItem @ sk5 )),
% 1.01/2.30 inference('cnf.neg', [status(esa)], [co1_9])).
% 1.01/2.30 thf(zip_derived_cl24, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.01/2.30 thf(co1_12, conjecture,
% 1.01/2.30 (~( ( ( nil ) = ( sk2 ) ) |
% 1.01/2.30 ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) = ( sk2 ) ) ))).
% 1.01/2.30 thf(zf_stmt_1, negated_conjecture,
% 1.01/2.30 (( ( nil ) = ( sk2 ) ) | ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) = ( sk2 ) )),
% 1.01/2.30 inference('cnf.neg', [status(esa)], [co1_12])).
% 1.01/2.30 thf(zip_derived_cl21, plain,
% 1.01/2.30 ((((nil) = (sk2)) | ((app @ sk6 @ (cons @ sk5 @ nil)) = (sk2)))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.01/2.30 thf(co1_7, conjecture,
% 1.01/2.30 (~( ( ( app @ B @ ( cons @ A @ nil ) ) != ( sk4 ) ) |
% 1.01/2.30 ( ( app @ ( cons @ A @ nil ) @ B ) = ( sk3 ) ) | ( ~( ssList @ B ) ) |
% 1.01/2.30 ( ~( ssItem @ A ) ) ))).
% 1.01/2.30 thf(zf_stmt_2, negated_conjecture,
% 1.01/2.30 (( ( app @ B @ ( cons @ A @ nil ) ) != ( sk4 ) ) |
% 1.01/2.30 ( ( app @ ( cons @ A @ nil ) @ B ) = ( sk3 ) ) | ( ~( ssList @ B ) ) |
% 1.01/2.30 ( ~( ssItem @ A ) )),
% 1.01/2.30 inference('cnf.neg', [status(esa)], [co1_7])).
% 1.01/2.30 thf(zip_derived_cl26, plain,
% 1.01/2.30 (![X0 : $i, X1 : $i]:
% 1.01/2.30 (((app @ X0 @ (cons @ X1 @ nil)) != (sk4))
% 1.01/2.30 | ((app @ (cons @ X1 @ nil) @ X0) = (sk3))
% 1.01/2.30 | ~ (ssList @ X0)
% 1.01/2.30 | ~ (ssItem @ X1))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.01/2.30 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 1.01/2.30 thf(zf_stmt_3, negated_conjecture, (( sk2 ) = ( sk4 )),
% 1.01/2.30 inference('cnf.neg', [status(esa)], [co1_5])).
% 1.01/2.30 thf(zip_derived_cl28, plain, (((sk2) = (sk4))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.01/2.30 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 1.01/2.30 thf(zf_stmt_4, negated_conjecture, (( sk1 ) = ( sk3 )),
% 1.01/2.30 inference('cnf.neg', [status(esa)], [co1_6])).
% 1.01/2.30 thf(zip_derived_cl27, plain, (((sk1) = (sk3))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.01/2.30 thf(zip_derived_cl500, plain,
% 1.01/2.30 (![X0 : $i, X1 : $i]:
% 1.01/2.30 (((app @ X0 @ (cons @ X1 @ nil)) != (sk2))
% 1.01/2.30 | ((app @ (cons @ X1 @ nil) @ X0) = (sk1))
% 1.01/2.30 | ~ (ssList @ X0)
% 1.01/2.30 | ~ (ssItem @ X1))),
% 1.01/2.30 inference('demod', [status(thm)],
% 1.01/2.30 [zip_derived_cl26, zip_derived_cl28, zip_derived_cl27])).
% 1.01/2.30 thf(zip_derived_cl507, plain,
% 1.01/2.30 ((((sk2) != (sk2))
% 1.01/2.30 | ((nil) = (sk2))
% 1.01/2.30 | ~ (ssItem @ sk5)
% 1.01/2.30 | ~ (ssList @ sk6)
% 1.01/2.30 | ((app @ (cons @ sk5 @ nil) @ sk6) = (sk1)))),
% 1.01/2.30 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl500])).
% 1.01/2.30 thf(zip_derived_cl514, plain,
% 1.01/2.30 ((((app @ (cons @ sk5 @ nil) @ sk6) = (sk1))
% 1.01/2.30 | ~ (ssList @ sk6)
% 1.01/2.30 | ~ (ssItem @ sk5)
% 1.01/2.30 | ((nil) = (sk2)))),
% 1.01/2.30 inference('simplify', [status(thm)], [zip_derived_cl507])).
% 1.01/2.30 thf(clause86, axiom,
% 1.01/2.30 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 1.01/2.30 thf(zip_derived_cl4, plain,
% 1.01/2.30 (![X0 : $i, X1 : $i]:
% 1.01/2.30 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 1.01/2.30 inference('cnf', [status(esa)], [clause86])).
% 1.01/2.30 thf(co1_15, conjecture,
% 1.01/2.30 (~( ( ( nil ) != ( sk1 ) ) |
% 1.01/2.30 ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) = ( sk2 ) ) ))).
% 1.01/2.30 thf(zf_stmt_5, negated_conjecture,
% 1.01/2.30 (( ( nil ) != ( sk1 ) ) |
% 1.01/2.30 ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) = ( sk2 ) )),
% 1.01/2.30 inference('cnf.neg', [status(esa)], [co1_15])).
% 1.01/2.30 thf(zip_derived_cl18, plain,
% 1.01/2.30 ((((nil) != (sk1)) | ((app @ sk6 @ (cons @ sk5 @ nil)) = (sk2)))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.01/2.30 thf(clause118, axiom,
% 1.01/2.30 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 1.01/2.30 ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 1.01/2.30 thf(zip_derived_cl7, plain,
% 1.01/2.30 (![X0 : $i, X1 : $i]:
% 1.01/2.30 (((app @ X0 @ X1) != (nil))
% 1.01/2.30 | ~ (ssList @ X1)
% 1.01/2.30 | ~ (ssList @ X0)
% 1.01/2.30 | ((nil) = (X0)))),
% 1.01/2.30 inference('cnf', [status(esa)], [clause118])).
% 1.01/2.30 thf(zip_derived_cl145, plain,
% 1.01/2.30 ((((sk2) != (nil))
% 1.01/2.30 | ((nil) != (sk1))
% 1.01/2.30 | ((nil) = (sk6))
% 1.01/2.30 | ~ (ssList @ sk6)
% 1.01/2.30 | ~ (ssList @ (cons @ sk5 @ nil)))),
% 1.01/2.30 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl7])).
% 1.01/2.30 thf(co1_8, conjecture, (~( ( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) ) ))).
% 1.01/2.30 thf(zf_stmt_6, negated_conjecture,
% 1.01/2.30 (( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) )),
% 1.01/2.30 inference('cnf.neg', [status(esa)], [co1_8])).
% 1.01/2.30 thf(zip_derived_cl25, plain, ((((nil) != (sk4)) | ((nil) = (sk3)))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.01/2.30 thf(zip_derived_cl28, plain, (((sk2) = (sk4))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.01/2.30 thf(zip_derived_cl27, plain, (((sk1) = (sk3))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.01/2.30 thf(zip_derived_cl139, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 1.01/2.30 inference('demod', [status(thm)],
% 1.01/2.30 [zip_derived_cl25, zip_derived_cl28, zip_derived_cl27])).
% 1.01/2.30 thf(zip_derived_cl161, plain,
% 1.01/2.30 ((~ (ssList @ (cons @ sk5 @ nil))
% 1.01/2.30 | ~ (ssList @ sk6)
% 1.01/2.30 | ((nil) = (sk6))
% 1.01/2.30 | ((sk2) != (nil)))),
% 1.01/2.30 inference('clc', [status(thm)], [zip_derived_cl145, zip_derived_cl139])).
% 1.01/2.30 thf(zip_derived_cl4, plain,
% 1.01/2.30 (![X0 : $i, X1 : $i]:
% 1.01/2.30 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 1.01/2.30 inference('cnf', [status(esa)], [clause86])).
% 1.01/2.30 thf(zip_derived_cl204, plain,
% 1.01/2.30 ((((sk2) != (nil))
% 1.01/2.30 | ((nil) = (sk6))
% 1.01/2.30 | ~ (ssList @ sk6)
% 1.01/2.30 | ~ (ssList @ nil)
% 1.01/2.30 | ~ (ssItem @ sk5))),
% 1.01/2.30 inference('sup+', [status(thm)], [zip_derived_cl161, zip_derived_cl4])).
% 1.01/2.30 thf(clause8, axiom, (ssList @ nil)).
% 1.01/2.30 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 1.01/2.30 inference('cnf', [status(esa)], [clause8])).
% 1.01/2.30 thf(zip_derived_cl206, plain,
% 1.01/2.30 ((((sk2) != (nil))
% 1.01/2.30 | ((nil) = (sk6))
% 1.01/2.30 | ~ (ssList @ sk6)
% 1.01/2.30 | ~ (ssItem @ sk5))),
% 1.01/2.30 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl0])).
% 1.01/2.30 thf(co1_10, conjecture, (~( ( ( nil ) != ( sk1 ) ) | ( ssItem @ sk5 ) ))).
% 1.01/2.30 thf(zf_stmt_7, negated_conjecture,
% 1.01/2.30 (( ( nil ) != ( sk1 ) ) | ( ssItem @ sk5 )),
% 1.01/2.30 inference('cnf.neg', [status(esa)], [co1_10])).
% 1.01/2.30 thf(zip_derived_cl23, plain, ((((nil) != (sk1)) | (ssItem @ sk5))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.01/2.30 thf(zip_derived_cl210, plain,
% 1.01/2.30 ((~ (ssList @ sk6)
% 1.01/2.30 | ((nil) = (sk6))
% 1.01/2.30 | ((sk2) != (nil))
% 1.01/2.30 | ((nil) != (sk1)))),
% 1.01/2.30 inference('sup+', [status(thm)], [zip_derived_cl206, zip_derived_cl23])).
% 1.01/2.30 thf(co1_14, conjecture, (~( ( ( nil ) != ( sk1 ) ) | ( ssList @ sk6 ) ))).
% 1.01/2.30 thf(zf_stmt_8, negated_conjecture,
% 1.01/2.30 (( ( nil ) != ( sk1 ) ) | ( ssList @ sk6 )),
% 1.01/2.30 inference('cnf.neg', [status(esa)], [co1_14])).
% 1.01/2.30 thf(zip_derived_cl19, plain, ((((nil) != (sk1)) | (ssList @ sk6))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.01/2.30 thf(zip_derived_cl216, plain,
% 1.01/2.30 ((((nil) != (sk1)) | ((sk2) != (nil)) | ((nil) = (sk6)))),
% 1.01/2.30 inference('clc', [status(thm)], [zip_derived_cl210, zip_derived_cl19])).
% 1.01/2.30 thf(zip_derived_cl139, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 1.01/2.30 inference('demod', [status(thm)],
% 1.01/2.30 [zip_derived_cl25, zip_derived_cl28, zip_derived_cl27])).
% 1.01/2.30 thf(zip_derived_cl217, plain, ((((nil) = (sk6)) | ((sk2) != (nil)))),
% 1.01/2.30 inference('clc', [status(thm)], [zip_derived_cl216, zip_derived_cl139])).
% 1.01/2.30 thf(zip_derived_cl18, plain,
% 1.01/2.30 ((((nil) != (sk1)) | ((app @ sk6 @ (cons @ sk5 @ nil)) = (sk2)))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.01/2.30 thf(zip_derived_cl218, plain,
% 1.01/2.30 ((((app @ nil @ (cons @ sk5 @ nil)) = (sk2))
% 1.01/2.30 | ((sk2) != (nil))
% 1.01/2.30 | ((nil) != (sk1)))),
% 1.01/2.30 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl18])).
% 1.01/2.30 thf(zip_derived_cl224, plain,
% 1.01/2.30 ((((app @ nil @ (cons @ sk5 @ nil)) = (nil))
% 1.01/2.30 | ((sk2) != (nil))
% 1.01/2.30 | ((nil) != (sk1)))),
% 1.01/2.30 inference('local_rewriting', [status(thm)], [zip_derived_cl218])).
% 1.01/2.30 thf(zip_derived_cl139, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 1.01/2.30 inference('demod', [status(thm)],
% 1.01/2.30 [zip_derived_cl25, zip_derived_cl28, zip_derived_cl27])).
% 1.01/2.30 thf(zip_derived_cl241, plain,
% 1.01/2.30 ((((sk2) != (nil)) | ((app @ nil @ (cons @ sk5 @ nil)) = (nil)))),
% 1.01/2.30 inference('clc', [status(thm)], [zip_derived_cl224, zip_derived_cl139])).
% 1.01/2.30 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 1.01/2.30 thf(zip_derived_cl2, plain,
% 1.01/2.30 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 1.01/2.30 inference('cnf', [status(esa)], [clause74])).
% 1.01/2.30 thf(zip_derived_cl245, plain,
% 1.01/2.30 ((((nil) = (cons @ sk5 @ nil))
% 1.01/2.30 | ((sk2) != (nil))
% 1.01/2.30 | ~ (ssList @ (cons @ sk5 @ nil)))),
% 1.01/2.30 inference('sup+', [status(thm)], [zip_derived_cl241, zip_derived_cl2])).
% 1.01/2.30 thf(clause145, axiom,
% 1.01/2.30 (( ( nil ) != ( U ) ) | ( ( nil ) != ( V ) ) | ( ~( ssList @ V ) ) |
% 1.01/2.30 ( ~( ssList @ U ) ) | ( ( app @ U @ V ) = ( nil ) ))).
% 1.01/2.30 thf(zip_derived_cl10, plain,
% 1.01/2.30 (![X0 : $i, X1 : $i]:
% 1.01/2.30 (((nil) != (X0))
% 1.01/2.30 | ((nil) != (X1))
% 1.01/2.30 | ~ (ssList @ X1)
% 1.01/2.30 | ~ (ssList @ X0)
% 1.01/2.30 | ((app @ X0 @ X1) = (nil)))),
% 1.01/2.30 inference('cnf', [status(esa)], [clause145])).
% 1.01/2.30 thf(zip_derived_cl217, plain, ((((nil) = (sk6)) | ((sk2) != (nil)))),
% 1.01/2.30 inference('clc', [status(thm)], [zip_derived_cl216, zip_derived_cl139])).
% 1.01/2.30 thf(co1_16, conjecture,
% 1.01/2.30 (~( ( ( nil ) != ( sk1 ) ) |
% 1.01/2.30 ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) != ( sk1 ) ) ))).
% 1.01/2.30 thf(zf_stmt_9, negated_conjecture,
% 1.01/2.30 (( ( nil ) != ( sk1 ) ) |
% 1.01/2.30 ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) != ( sk1 ) )),
% 1.01/2.30 inference('cnf.neg', [status(esa)], [co1_16])).
% 1.01/2.30 thf(zip_derived_cl17, plain,
% 1.01/2.30 ((((nil) != (sk1)) | ((app @ (cons @ sk5 @ nil) @ sk6) != (sk1)))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.01/2.30 thf(zip_derived_cl140, plain,
% 1.01/2.30 ((((nil) != (sk1)) | ((app @ (cons @ sk5 @ nil) @ sk6) != (nil)))),
% 1.01/2.30 inference('local_rewriting', [status(thm)], [zip_derived_cl17])).
% 1.01/2.30 thf(zip_derived_cl223, plain,
% 1.01/2.30 ((((app @ (cons @ sk5 @ nil) @ nil) != (nil))
% 1.01/2.30 | ((sk2) != (nil))
% 1.01/2.30 | ((nil) != (sk1)))),
% 1.01/2.30 inference('sup-', [status(thm)], [zip_derived_cl217, zip_derived_cl140])).
% 1.01/2.30 thf(zip_derived_cl139, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 1.01/2.30 inference('demod', [status(thm)],
% 1.01/2.30 [zip_derived_cl25, zip_derived_cl28, zip_derived_cl27])).
% 1.01/2.30 thf(zip_derived_cl232, plain,
% 1.01/2.30 ((((sk2) != (nil)) | ((app @ (cons @ sk5 @ nil) @ nil) != (nil)))),
% 1.01/2.30 inference('clc', [status(thm)], [zip_derived_cl223, zip_derived_cl139])).
% 1.01/2.30 thf(zip_derived_cl233, plain,
% 1.01/2.30 ((((nil) != (nil))
% 1.01/2.30 | ~ (ssList @ (cons @ sk5 @ nil))
% 1.01/2.30 | ~ (ssList @ nil)
% 1.01/2.30 | ((nil) != (nil))
% 1.01/2.30 | ((nil) != (cons @ sk5 @ nil))
% 1.01/2.30 | ((sk2) != (nil)))),
% 1.01/2.30 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl232])).
% 1.01/2.30 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 1.01/2.30 inference('cnf', [status(esa)], [clause8])).
% 1.01/2.30 thf(zip_derived_cl235, plain,
% 1.01/2.30 ((((nil) != (nil))
% 1.01/2.30 | ~ (ssList @ (cons @ sk5 @ nil))
% 1.01/2.30 | ((nil) != (nil))
% 1.01/2.30 | ((nil) != (cons @ sk5 @ nil))
% 1.01/2.30 | ((sk2) != (nil)))),
% 1.01/2.30 inference('demod', [status(thm)], [zip_derived_cl233, zip_derived_cl0])).
% 1.01/2.30 thf(zip_derived_cl236, plain,
% 1.01/2.30 ((((sk2) != (nil))
% 1.01/2.30 | ((nil) != (cons @ sk5 @ nil))
% 1.01/2.30 | ~ (ssList @ (cons @ sk5 @ nil)))),
% 1.01/2.30 inference('simplify', [status(thm)], [zip_derived_cl235])).
% 1.01/2.30 thf(zip_derived_cl237, plain,
% 1.01/2.30 ((((sk2) != (nil)) | ((nil) != (cons @ sk5 @ nil)) | ~ (ssList @ nil))),
% 1.01/2.30 inference('local_rewriting', [status(thm)], [zip_derived_cl236])).
% 1.01/2.30 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 1.01/2.30 inference('cnf', [status(esa)], [clause8])).
% 1.01/2.30 thf(zip_derived_cl239, plain,
% 1.01/2.30 ((((sk2) != (nil)) | ((nil) != (cons @ sk5 @ nil)))),
% 1.01/2.30 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl0])).
% 1.01/2.30 thf(zip_derived_cl264, plain,
% 1.01/2.30 ((~ (ssList @ (cons @ sk5 @ nil)) | ((sk2) != (nil)))),
% 1.01/2.30 inference('clc', [status(thm)], [zip_derived_cl245, zip_derived_cl239])).
% 1.01/2.30 thf(zip_derived_cl266, plain,
% 1.01/2.30 ((~ (ssList @ nil) | ~ (ssItem @ sk5) | ((sk2) != (nil)))),
% 1.01/2.30 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl264])).
% 1.01/2.30 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 1.01/2.30 inference('cnf', [status(esa)], [clause8])).
% 1.01/2.30 thf(zip_derived_cl267, plain, ((~ (ssItem @ sk5) | ((sk2) != (nil)))),
% 1.01/2.30 inference('demod', [status(thm)], [zip_derived_cl266, zip_derived_cl0])).
% 1.01/2.30 thf(zip_derived_cl23, plain, ((((nil) != (sk1)) | (ssItem @ sk5))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.01/2.30 thf(zip_derived_cl269, plain, ((((sk2) != (nil)) | ((nil) != (sk1)))),
% 1.01/2.30 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl23])).
% 1.01/2.30 thf(zip_derived_cl139, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 1.01/2.30 inference('demod', [status(thm)],
% 1.01/2.30 [zip_derived_cl25, zip_derived_cl28, zip_derived_cl27])).
% 1.01/2.30 thf(zip_derived_cl275, plain, (((sk2) != (nil))),
% 1.01/2.30 inference('clc', [status(thm)], [zip_derived_cl269, zip_derived_cl139])).
% 1.01/2.30 thf(zip_derived_cl515, plain,
% 1.01/2.30 ((((app @ (cons @ sk5 @ nil) @ sk6) = (sk1))
% 1.01/2.30 | ~ (ssList @ sk6)
% 1.01/2.30 | ~ (ssItem @ sk5))),
% 1.01/2.30 inference('simplify_reflect-', [status(thm)],
% 1.01/2.30 [zip_derived_cl514, zip_derived_cl275])).
% 1.01/2.30 thf(co1_13, conjecture,
% 1.01/2.30 (~( ( ( nil ) = ( sk2 ) ) |
% 1.01/2.30 ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) != ( sk1 ) ) ))).
% 1.01/2.30 thf(zf_stmt_10, negated_conjecture,
% 1.01/2.30 (( ( nil ) = ( sk2 ) ) |
% 1.01/2.30 ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) != ( sk1 ) )),
% 1.01/2.30 inference('cnf.neg', [status(esa)], [co1_13])).
% 1.01/2.30 thf(zip_derived_cl20, plain,
% 1.01/2.30 ((((nil) = (sk2)) | ((app @ (cons @ sk5 @ nil) @ sk6) != (sk1)))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.01/2.30 thf(zip_derived_cl527, plain,
% 1.01/2.30 ((((sk1) != (sk1))
% 1.01/2.30 | ~ (ssItem @ sk5)
% 1.01/2.30 | ~ (ssList @ sk6)
% 1.01/2.30 | ((nil) = (sk2)))),
% 1.01/2.30 inference('sup-', [status(thm)], [zip_derived_cl515, zip_derived_cl20])).
% 1.01/2.30 thf(zip_derived_cl544, plain,
% 1.01/2.30 ((((nil) = (sk2)) | ~ (ssList @ sk6) | ~ (ssItem @ sk5))),
% 1.01/2.30 inference('simplify', [status(thm)], [zip_derived_cl527])).
% 1.01/2.30 thf(zip_derived_cl275, plain, (((sk2) != (nil))),
% 1.01/2.30 inference('clc', [status(thm)], [zip_derived_cl269, zip_derived_cl139])).
% 1.01/2.30 thf(zip_derived_cl545, plain, ((~ (ssList @ sk6) | ~ (ssItem @ sk5))),
% 1.01/2.30 inference('simplify_reflect-', [status(thm)],
% 1.01/2.30 [zip_derived_cl544, zip_derived_cl275])).
% 1.01/2.30 thf(zip_derived_cl550, plain, ((((nil) = (sk2)) | ~ (ssList @ sk6))),
% 1.01/2.30 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl545])).
% 1.01/2.30 thf(zip_derived_cl275, plain, (((sk2) != (nil))),
% 1.01/2.30 inference('clc', [status(thm)], [zip_derived_cl269, zip_derived_cl139])).
% 1.01/2.30 thf(zip_derived_cl551, plain, (~ (ssList @ sk6)),
% 1.01/2.30 inference('simplify_reflect-', [status(thm)],
% 1.01/2.30 [zip_derived_cl550, zip_derived_cl275])).
% 1.01/2.30 thf(co1_11, conjecture, (~( ( ( nil ) = ( sk2 ) ) | ( ssList @ sk6 ) ))).
% 1.01/2.30 thf(zf_stmt_11, negated_conjecture,
% 1.01/2.30 (( ( nil ) = ( sk2 ) ) | ( ssList @ sk6 )),
% 1.01/2.30 inference('cnf.neg', [status(esa)], [co1_11])).
% 1.01/2.30 thf(zip_derived_cl22, plain, ((((nil) = (sk2)) | (ssList @ sk6))),
% 1.01/2.30 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.01/2.30 thf(zip_derived_cl275, plain, (((sk2) != (nil))),
% 1.01/2.30 inference('clc', [status(thm)], [zip_derived_cl269, zip_derived_cl139])).
% 1.01/2.30 thf(zip_derived_cl553, plain, ( (ssList @ sk6)),
% 1.01/2.30 inference('simplify_reflect-', [status(thm)],
% 1.01/2.30 [zip_derived_cl22, zip_derived_cl275])).
% 1.01/2.30 thf(zip_derived_cl556, plain, ($false),
% 1.01/2.30 inference('demod', [status(thm)], [zip_derived_cl551, zip_derived_cl553])).
% 1.01/2.30
% 1.01/2.30 % SZS output end Refutation
% 1.01/2.30
% 1.01/2.30
% 1.17/2.30 % Terminating...
% 1.35/2.52 % Runner terminated.
% 1.35/2.53 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------