%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC153-1 : 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.Bgpn9WRb7x true
% Computer : n019.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 04:58:48 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.97s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC153-1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Bgpn9WRb7x true
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 17:13:23 EDT 2025
% 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
% 0.13/0.35 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.97 % Solved by fo/fo3_bce.sh.
% 0.57/0.97 % BCE start: 73
% 0.57/0.97 % BCE eliminated: 4
% 0.57/0.97 % PE start: 69
% 0.57/0.97 logic: eq
% 0.57/0.97 % PE eliminated: 0
% 0.57/0.97 % done 247 iterations in 0.195s
% 0.57/0.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.97 % SZS output start Refutation
% 0.57/0.97 thf(nil_type, type, nil: $i).
% 0.57/0.97 thf(sk9_type, type, sk9: $i).
% 0.57/0.97 thf(leq_type, type, leq: $i > $i > $o).
% 0.57/0.97 thf(cons_type, type, cons: $i > $i > $i).
% 0.57/0.97 thf(sk7_type, type, sk7: $i).
% 0.57/0.97 thf(memberP_type, type, memberP: $i > $i > $o).
% 0.57/0.97 thf(sk6_type, type, sk6: $i).
% 0.57/0.97 thf(ssItem_type, type, ssItem: $i > $o).
% 0.57/0.97 thf(sk8_type, type, sk8: $i).
% 0.57/0.97 thf(sk3_type, type, sk3: $i).
% 0.57/0.97 thf(sk10_type, type, sk10: $i).
% 0.57/0.97 thf(app_type, type, app: $i > $i > $i).
% 0.57/0.97 thf(ssList_type, type, ssList: $i > $o).
% 0.57/0.97 thf(sk1_type, type, sk1: $i).
% 0.57/0.97 thf(sk5_type, type, sk5: $i).
% 0.57/0.97 thf(co1_15, conjecture,
% 0.57/0.97 (( app @
% 0.57/0.97 ( app @
% 0.57/0.97 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ sk8 ) @
% 0.57/0.97 ( cons @ sk6 @ nil ) ) @
% 0.57/0.97 sk9 ) !=
% 0.57/0.97 ( sk1 ))).
% 0.57/0.97 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.97 (( app @
% 0.57/0.97 ( app @
% 0.57/0.97 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ sk8 ) @
% 0.57/0.97 ( cons @ sk6 @ nil ) ) @
% 0.57/0.97 sk9 ) =
% 0.57/0.97 ( sk1 )),
% 0.57/0.97 inference('cnf.neg', [status(esa)], [co1_15])).
% 0.57/0.97 thf(zip_derived_cl58, plain,
% 0.57/0.97 (((app @
% 0.57/0.97 (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 0.57/0.97 (cons @ sk6 @ nil)) @
% 0.57/0.97 sk9) = (sk1))),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.97 thf(co1_7, conjecture,
% 0.57/0.97 (~( ( leq @ A @ B ) | ( ~( leq @ B @ A ) ) |
% 0.57/0.97 ( ( app @
% 0.57/0.97 ( app @
% 0.57/0.97 ( app @ ( app @ C @ ( cons @ A @ nil ) ) @ D ) @
% 0.57/0.97 ( cons @ B @ nil ) ) @
% 0.57/0.97 E ) !=
% 0.57/0.97 ( sk3 ) ) |
% 0.57/0.97 ( ~( ssList @ E ) ) | ( ~( ssList @ D ) ) | ( ~( ssList @ C ) ) |
% 0.57/0.97 ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.57/0.97 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.97 (( leq @ A @ B ) | ( ~( leq @ B @ A ) ) |
% 0.57/0.97 ( ( app @
% 0.57/0.97 ( app @
% 0.57/0.97 ( app @ ( app @ C @ ( cons @ A @ nil ) ) @ D ) @ ( cons @ B @ nil ) ) @
% 0.57/0.97 E ) !=
% 0.57/0.97 ( sk3 ) ) |
% 0.57/0.97 ( ~( ssList @ E ) ) | ( ~( ssList @ D ) ) | ( ~( ssList @ C ) ) |
% 0.57/0.97 ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) )),
% 0.57/0.97 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.57/0.97 thf(zip_derived_cl66, plain,
% 0.57/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.97 ( (leq @ X0 @ X1)
% 0.57/0.97 | ~ (leq @ X1 @ X0)
% 0.57/0.97 | ((app @
% 0.57/0.97 (app @ (app @ (app @ X2 @ (cons @ X0 @ nil)) @ X3) @
% 0.57/0.97 (cons @ X1 @ nil)) @
% 0.57/0.97 X4) != (sk3))
% 0.57/0.97 | ~ (ssList @ X4)
% 0.57/0.97 | ~ (ssList @ X3)
% 0.57/0.97 | ~ (ssList @ X2)
% 0.57/0.97 | ~ (ssItem @ X1)
% 0.57/0.97 | ~ (ssItem @ X0))),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.97 thf(co1_6, conjecture, (( sk3 ) != ( sk1 ))).
% 0.57/0.97 thf(zf_stmt_2, negated_conjecture, (( sk3 ) = ( sk1 )),
% 0.57/0.97 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.57/0.97 thf(zip_derived_cl67, plain, (((sk3) = (sk1))),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.97 thf(zip_derived_cl1826, plain,
% 0.57/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.97 ( (leq @ X0 @ X1)
% 0.57/0.97 | ~ (leq @ X1 @ X0)
% 0.57/0.97 | ((app @
% 0.57/0.97 (app @ (app @ (app @ X2 @ (cons @ X0 @ nil)) @ X3) @
% 0.57/0.97 (cons @ X1 @ nil)) @
% 0.57/0.97 X4) != (sk1))
% 0.57/0.97 | ~ (ssList @ X4)
% 0.57/0.97 | ~ (ssList @ X3)
% 0.57/0.97 | ~ (ssList @ X2)
% 0.57/0.97 | ~ (ssItem @ X1)
% 0.57/0.97 | ~ (ssItem @ X0))),
% 0.57/0.97 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl67])).
% 0.57/0.97 thf(zip_derived_cl1830, plain,
% 0.57/0.97 ((((sk1) != (sk1))
% 0.57/0.97 | ~ (ssItem @ sk5)
% 0.57/0.97 | ~ (ssItem @ sk6)
% 0.57/0.97 | ~ (ssList @ sk7)
% 0.57/0.97 | ~ (ssList @ sk8)
% 0.57/0.97 | ~ (ssList @ sk9)
% 0.57/0.97 | ~ (leq @ sk6 @ sk5)
% 0.57/0.97 | (leq @ sk5 @ sk6))),
% 0.57/0.97 inference('sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl1826])).
% 0.57/0.97 thf(co1_10, conjecture, (~( ssItem @ sk5 ))).
% 0.57/0.97 thf(zf_stmt_3, negated_conjecture, (ssItem @ sk5),
% 0.57/0.97 inference('cnf.neg', [status(esa)], [co1_10])).
% 0.57/0.97 thf(zip_derived_cl63, plain, ( (ssItem @ sk5)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.97 thf(co1_11, conjecture, (~( ssItem @ sk6 ))).
% 0.57/0.97 thf(zf_stmt_4, negated_conjecture, (ssItem @ sk6),
% 0.57/0.97 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.57/0.97 thf(zip_derived_cl62, plain, ( (ssItem @ sk6)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.97 thf(co1_12, conjecture, (~( ssList @ sk7 ))).
% 0.57/0.97 thf(zf_stmt_5, negated_conjecture, (ssList @ sk7),
% 0.57/0.97 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.57/0.97 thf(zip_derived_cl61, plain, ( (ssList @ sk7)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/0.97 thf(co1_13, conjecture, (~( ssList @ sk8 ))).
% 0.57/0.97 thf(zf_stmt_6, negated_conjecture, (ssList @ sk8),
% 0.57/0.97 inference('cnf.neg', [status(esa)], [co1_13])).
% 0.57/0.97 thf(zip_derived_cl60, plain, ( (ssList @ sk8)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/0.97 thf(co1_14, conjecture, (~( ssList @ sk9 ))).
% 0.57/0.97 thf(zf_stmt_7, negated_conjecture, (ssList @ sk9),
% 0.57/0.97 inference('cnf.neg', [status(esa)], [co1_14])).
% 0.57/0.97 thf(zip_derived_cl59, plain, ( (ssList @ sk9)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.57/0.97 thf(co1_16, conjecture, (~( leq @ sk6 @ sk5 ))).
% 0.57/0.97 thf(zf_stmt_8, negated_conjecture, (leq @ sk6 @ sk5),
% 0.57/0.97 inference('cnf.neg', [status(esa)], [co1_16])).
% 0.57/0.97 thf(zip_derived_cl57, plain, ( (leq @ sk6 @ sk5)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.57/0.97 thf(zip_derived_cl58, plain,
% 0.57/0.97 (((app @
% 0.57/0.97 (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 0.57/0.97 (cons @ sk6 @ nil)) @
% 0.57/0.97 sk9) = (sk1))),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.97 thf(co1_8, conjecture,
% 0.57/0.97 (~( ( leq @ A @ F ) | ( ~( memberP @ D @ F ) ) | ( ~( ssItem @ F ) ) |
% 0.57/0.97 ( ~( leq @ B @ A ) ) |
% 0.57/0.97 ( ( app @
% 0.57/0.97 ( app @
% 0.57/0.97 ( app @ ( app @ C @ ( cons @ A @ nil ) ) @ D ) @
% 0.57/0.97 ( cons @ B @ nil ) ) @
% 0.57/0.97 E ) !=
% 0.57/0.97 ( sk3 ) ) |
% 0.57/0.97 ( ~( ssList @ E ) ) | ( ~( ssList @ D ) ) | ( ~( ssList @ C ) ) |
% 0.57/0.97 ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.57/0.97 thf(zf_stmt_9, negated_conjecture,
% 0.57/0.97 (( leq @ A @ F ) | ( ~( memberP @ D @ F ) ) | ( ~( ssItem @ F ) ) |
% 0.57/0.97 ( ~( leq @ B @ A ) ) |
% 0.57/0.97 ( ( app @
% 0.57/0.97 ( app @
% 0.57/0.97 ( app @ ( app @ C @ ( cons @ A @ nil ) ) @ D ) @ ( cons @ B @ nil ) ) @
% 0.57/0.97 E ) !=
% 0.57/0.97 ( sk3 ) ) |
% 0.57/0.97 ( ~( ssList @ E ) ) | ( ~( ssList @ D ) ) | ( ~( ssList @ C ) ) |
% 0.57/0.97 ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) )),
% 0.57/0.97 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.57/0.97 thf(zip_derived_cl65, plain,
% 0.57/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.97 ( (leq @ X0 @ X1)
% 0.57/0.97 | ~ (memberP @ X2 @ X1)
% 0.57/0.97 | ~ (ssItem @ X1)
% 0.57/0.97 | ~ (leq @ X3 @ X0)
% 0.57/0.97 | ((app @
% 0.57/0.97 (app @ (app @ (app @ X4 @ (cons @ X0 @ nil)) @ X2) @
% 0.57/0.97 (cons @ X3 @ nil)) @
% 0.57/0.97 X5) != (sk3))
% 0.57/0.97 | ~ (ssList @ X5)
% 0.57/0.97 | ~ (ssList @ X2)
% 0.57/0.97 | ~ (ssList @ X4)
% 0.57/0.97 | ~ (ssItem @ X3)
% 0.57/0.97 | ~ (ssItem @ X0))),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.57/0.97 thf(zip_derived_cl67, plain, (((sk3) = (sk1))),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.97 thf(zip_derived_cl1755, plain,
% 0.57/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.97 ( (leq @ X0 @ X1)
% 0.57/0.97 | ~ (memberP @ X2 @ X1)
% 0.57/0.97 | ~ (ssItem @ X1)
% 0.57/0.97 | ~ (leq @ X3 @ X0)
% 0.57/0.97 | ((app @
% 0.57/0.97 (app @ (app @ (app @ X4 @ (cons @ X0 @ nil)) @ X2) @
% 0.57/0.97 (cons @ X3 @ nil)) @
% 0.57/0.97 X5) != (sk1))
% 0.57/0.97 | ~ (ssList @ X5)
% 0.57/0.97 | ~ (ssList @ X2)
% 0.57/0.97 | ~ (ssList @ X4)
% 0.57/0.97 | ~ (ssItem @ X3)
% 0.57/0.97 | ~ (ssItem @ X0))),
% 0.57/0.97 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl67])).
% 0.57/0.97 thf(zip_derived_cl1759, plain,
% 0.57/0.97 (![X0 : $i]:
% 0.57/0.97 (((sk1) != (sk1))
% 0.57/0.97 | ~ (ssItem @ sk5)
% 0.57/0.97 | ~ (ssItem @ sk6)
% 0.57/0.97 | ~ (ssList @ sk7)
% 0.57/0.97 | ~ (ssList @ sk8)
% 0.57/0.97 | ~ (ssList @ sk9)
% 0.57/0.97 | ~ (leq @ sk6 @ sk5)
% 0.57/0.97 | ~ (ssItem @ X0)
% 0.57/0.97 | ~ (memberP @ sk8 @ X0)
% 0.57/0.97 | (leq @ sk5 @ X0))),
% 0.57/0.97 inference('sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl1755])).
% 0.57/0.97 thf(zip_derived_cl63, plain, ( (ssItem @ sk5)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.97 thf(zip_derived_cl62, plain, ( (ssItem @ sk6)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.97 thf(zip_derived_cl61, plain, ( (ssList @ sk7)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/0.97 thf(zip_derived_cl60, plain, ( (ssList @ sk8)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/0.97 thf(zip_derived_cl59, plain, ( (ssList @ sk9)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.57/0.97 thf(zip_derived_cl57, plain, ( (leq @ sk6 @ sk5)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.57/0.97 thf(zip_derived_cl1778, plain,
% 0.57/0.97 (![X0 : $i]:
% 0.57/0.97 (((sk1) != (sk1))
% 0.57/0.97 | ~ (ssItem @ X0)
% 0.57/0.97 | ~ (memberP @ sk8 @ X0)
% 0.57/0.97 | (leq @ sk5 @ X0))),
% 0.57/0.97 inference('demod', [status(thm)],
% 0.57/0.97 [zip_derived_cl1759, zip_derived_cl63, zip_derived_cl62,
% 0.57/0.97 zip_derived_cl61, zip_derived_cl60, zip_derived_cl59,
% 0.57/0.97 zip_derived_cl57])).
% 0.57/0.97 thf(zip_derived_cl1779, plain,
% 0.57/0.97 (![X0 : $i]:
% 0.57/0.97 ( (leq @ sk5 @ X0) | ~ (memberP @ sk8 @ X0) | ~ (ssItem @ X0))),
% 0.57/0.97 inference('simplify', [status(thm)], [zip_derived_cl1778])).
% 0.57/0.97 thf(co1_18, conjecture,
% 0.57/0.97 (~( ( ~( leq @ sk5 @ sk6 ) ) | ( memberP @ sk8 @ sk10 ) ))).
% 0.57/0.97 thf(zf_stmt_10, negated_conjecture,
% 0.57/0.97 (( ~( leq @ sk5 @ sk6 ) ) | ( memberP @ sk8 @ sk10 )),
% 0.57/0.97 inference('cnf.neg', [status(esa)], [co1_18])).
% 0.57/0.97 thf(zip_derived_cl55, plain,
% 0.57/0.97 ((~ (leq @ sk5 @ sk6) | (memberP @ sk8 @ sk10))),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.57/0.97 thf(zip_derived_cl1796, plain,
% 0.57/0.97 ((~ (ssItem @ sk10) | (leq @ sk5 @ sk10) | ~ (leq @ sk5 @ sk6))),
% 0.57/0.97 inference('sup+', [status(thm)], [zip_derived_cl1779, zip_derived_cl55])).
% 0.57/0.97 thf(co1_17, conjecture, (~( ( ~( leq @ sk5 @ sk6 ) ) | ( ssItem @ sk10 ) ))).
% 0.57/0.97 thf(zf_stmt_11, negated_conjecture,
% 0.57/0.97 (( ~( leq @ sk5 @ sk6 ) ) | ( ssItem @ sk10 )),
% 0.57/0.97 inference('cnf.neg', [status(esa)], [co1_17])).
% 0.57/0.97 thf(zip_derived_cl56, plain, ((~ (leq @ sk5 @ sk6) | (ssItem @ sk10))),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.57/0.97 thf(zip_derived_cl1805, plain, ((~ (leq @ sk5 @ sk6) | (leq @ sk5 @ sk10))),
% 0.57/0.97 inference('clc', [status(thm)], [zip_derived_cl1796, zip_derived_cl56])).
% 0.57/0.97 thf(co1_19, conjecture,
% 0.57/0.97 (~( ( ~( leq @ sk5 @ sk6 ) ) | ( ~( leq @ sk5 @ sk10 ) ) |
% 0.57/0.97 ( ~( leq @ sk10 @ sk6 ) ) ))).
% 0.57/0.97 thf(zf_stmt_12, negated_conjecture,
% 0.57/0.97 (( ~( leq @ sk5 @ sk6 ) ) | ( ~( leq @ sk5 @ sk10 ) ) |
% 0.57/0.97 ( ~( leq @ sk10 @ sk6 ) )),
% 0.57/0.97 inference('cnf.neg', [status(esa)], [co1_19])).
% 0.57/0.97 thf(zip_derived_cl54, plain,
% 0.57/0.97 ((~ (leq @ sk5 @ sk6) | ~ (leq @ sk5 @ sk10) | ~ (leq @ sk10 @ sk6))),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.57/0.97 thf(zip_derived_cl58, plain,
% 0.57/0.97 (((app @
% 0.57/0.97 (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 0.57/0.97 (cons @ sk6 @ nil)) @
% 0.57/0.97 sk9) = (sk1))),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.97 thf(co1_9, conjecture,
% 0.57/0.97 (~( ( leq @ F @ B ) | ( ~( memberP @ D @ F ) ) | ( ~( ssItem @ F ) ) |
% 0.57/0.97 ( ~( leq @ B @ A ) ) |
% 0.57/0.97 ( ( app @
% 0.57/0.97 ( app @
% 0.57/0.97 ( app @ ( app @ C @ ( cons @ A @ nil ) ) @ D ) @
% 0.57/0.97 ( cons @ B @ nil ) ) @
% 0.57/0.97 E ) !=
% 0.57/0.97 ( sk3 ) ) |
% 0.57/0.97 ( ~( ssList @ E ) ) | ( ~( ssList @ D ) ) | ( ~( ssList @ C ) ) |
% 0.57/0.97 ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.57/0.97 thf(zf_stmt_13, negated_conjecture,
% 0.57/0.97 (( leq @ F @ B ) | ( ~( memberP @ D @ F ) ) | ( ~( ssItem @ F ) ) |
% 0.57/0.97 ( ~( leq @ B @ A ) ) |
% 0.57/0.97 ( ( app @
% 0.57/0.97 ( app @
% 0.57/0.97 ( app @ ( app @ C @ ( cons @ A @ nil ) ) @ D ) @ ( cons @ B @ nil ) ) @
% 0.57/0.97 E ) !=
% 0.57/0.97 ( sk3 ) ) |
% 0.57/0.97 ( ~( ssList @ E ) ) | ( ~( ssList @ D ) ) | ( ~( ssList @ C ) ) |
% 0.57/0.97 ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) )),
% 0.57/0.97 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.57/0.97 thf(zip_derived_cl64, plain,
% 0.57/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.97 ( (leq @ X0 @ X1)
% 0.57/0.97 | ~ (memberP @ X2 @ X0)
% 0.57/0.97 | ~ (ssItem @ X0)
% 0.57/0.97 | ~ (leq @ X1 @ X3)
% 0.57/0.97 | ((app @
% 0.57/0.97 (app @ (app @ (app @ X4 @ (cons @ X3 @ nil)) @ X2) @
% 0.57/0.97 (cons @ X1 @ nil)) @
% 0.57/0.97 X5) != (sk3))
% 0.57/0.97 | ~ (ssList @ X5)
% 0.57/0.97 | ~ (ssList @ X2)
% 0.57/0.97 | ~ (ssList @ X4)
% 0.57/0.97 | ~ (ssItem @ X1)
% 0.57/0.97 | ~ (ssItem @ X3))),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.57/0.97 thf(zip_derived_cl67, plain, (((sk3) = (sk1))),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.97 thf(zip_derived_cl1684, plain,
% 0.57/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.97 ( (leq @ X0 @ X1)
% 0.57/0.97 | ~ (memberP @ X2 @ X0)
% 0.57/0.97 | ~ (ssItem @ X0)
% 0.57/0.97 | ~ (leq @ X1 @ X3)
% 0.57/0.97 | ((app @
% 0.57/0.97 (app @ (app @ (app @ X4 @ (cons @ X3 @ nil)) @ X2) @
% 0.57/0.97 (cons @ X1 @ nil)) @
% 0.57/0.97 X5) != (sk1))
% 0.57/0.97 | ~ (ssList @ X5)
% 0.57/0.97 | ~ (ssList @ X2)
% 0.57/0.97 | ~ (ssList @ X4)
% 0.57/0.97 | ~ (ssItem @ X1)
% 0.57/0.97 | ~ (ssItem @ X3))),
% 0.57/0.97 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl67])).
% 0.57/0.97 thf(zip_derived_cl1688, plain,
% 0.57/0.97 (![X0 : $i]:
% 0.57/0.97 (((sk1) != (sk1))
% 0.57/0.97 | ~ (ssItem @ sk5)
% 0.57/0.97 | ~ (ssItem @ sk6)
% 0.57/0.97 | ~ (ssList @ sk7)
% 0.57/0.97 | ~ (ssList @ sk8)
% 0.57/0.97 | ~ (ssList @ sk9)
% 0.57/0.97 | ~ (leq @ sk6 @ sk5)
% 0.57/0.97 | ~ (ssItem @ X0)
% 0.57/0.97 | ~ (memberP @ sk8 @ X0)
% 0.57/0.97 | (leq @ X0 @ sk6))),
% 0.57/0.97 inference('sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl1684])).
% 0.57/0.97 thf(zip_derived_cl63, plain, ( (ssItem @ sk5)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.97 thf(zip_derived_cl62, plain, ( (ssItem @ sk6)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.97 thf(zip_derived_cl61, plain, ( (ssList @ sk7)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/0.97 thf(zip_derived_cl60, plain, ( (ssList @ sk8)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/0.97 thf(zip_derived_cl59, plain, ( (ssList @ sk9)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.57/0.97 thf(zip_derived_cl57, plain, ( (leq @ sk6 @ sk5)),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.57/0.97 thf(zip_derived_cl1707, plain,
% 0.57/0.97 (![X0 : $i]:
% 0.57/0.97 (((sk1) != (sk1))
% 0.57/0.97 | ~ (ssItem @ X0)
% 0.57/0.97 | ~ (memberP @ sk8 @ X0)
% 0.57/0.97 | (leq @ X0 @ sk6))),
% 0.57/0.97 inference('demod', [status(thm)],
% 0.57/0.97 [zip_derived_cl1688, zip_derived_cl63, zip_derived_cl62,
% 0.57/0.97 zip_derived_cl61, zip_derived_cl60, zip_derived_cl59,
% 0.57/0.97 zip_derived_cl57])).
% 0.57/0.97 thf(zip_derived_cl1708, plain,
% 0.57/0.97 (![X0 : $i]:
% 0.57/0.97 ( (leq @ X0 @ sk6) | ~ (memberP @ sk8 @ X0) | ~ (ssItem @ X0))),
% 0.57/0.97 inference('simplify', [status(thm)], [zip_derived_cl1707])).
% 0.57/0.97 thf(zip_derived_cl55, plain,
% 0.57/0.97 ((~ (leq @ sk5 @ sk6) | (memberP @ sk8 @ sk10))),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.57/0.97 thf(zip_derived_cl1723, plain,
% 0.57/0.97 ((~ (ssItem @ sk10) | (leq @ sk10 @ sk6) | ~ (leq @ sk5 @ sk6))),
% 0.57/0.97 inference('sup+', [status(thm)], [zip_derived_cl1708, zip_derived_cl55])).
% 0.57/0.97 thf(zip_derived_cl56, plain, ((~ (leq @ sk5 @ sk6) | (ssItem @ sk10))),
% 0.57/0.97 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.57/0.97 thf(zip_derived_cl1725, plain, ((~ (leq @ sk5 @ sk6) | (leq @ sk10 @ sk6))),
% 0.57/0.97 inference('clc', [status(thm)], [zip_derived_cl1723, zip_derived_cl56])).
% 0.57/0.97 thf(zip_derived_cl1734, plain,
% 0.57/0.97 ((~ (leq @ sk5 @ sk10) | ~ (leq @ sk5 @ sk6) | ~ (leq @ sk5 @ sk6))),
% 0.57/0.97 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl1725])).
% 0.57/0.97 thf(zip_derived_cl1735, plain,
% 0.57/0.97 ((~ (leq @ sk5 @ sk6) | ~ (leq @ sk5 @ sk10))),
% 0.57/0.97 inference('simplify', [status(thm)], [zip_derived_cl1734])).
% 0.57/0.97 thf(zip_derived_cl1806, plain, (~ (leq @ sk5 @ sk6)),
% 0.57/0.97 inference('clc', [status(thm)], [zip_derived_cl1805, zip_derived_cl1735])).
% 0.57/0.97 thf(zip_derived_cl1849, plain, (((sk1) != (sk1))),
% 0.57/0.97 inference('demod', [status(thm)],
% 0.57/0.97 [zip_derived_cl1830, zip_derived_cl63, zip_derived_cl62,
% 0.57/0.97 zip_derived_cl61, zip_derived_cl60, zip_derived_cl59,
% 0.57/0.97 zip_derived_cl57, zip_derived_cl1806])).
% 0.57/0.97 thf(zip_derived_cl1850, plain, ($false),
% 0.57/0.97 inference('simplify', [status(thm)], [zip_derived_cl1849])).
% 0.57/0.97
% 0.57/0.97 % SZS output end Refutation
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 % Terminating...
% 1.69/1.07 % Runner terminated.
% 1.69/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------