TSTP Solution File: SWC152-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC152-1 : 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.2wARejjRnl true
% Computer : n029.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 21:29:32 EDT 2023
% Result : Unsatisfiable 9.90s 1.99s
% Output : Refutation 9.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC152-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2wARejjRnl true
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 16:26:41 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
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 9.90/1.99 % Solved by fo/fo6_bce.sh.
% 9.90/1.99 % BCE start: 209
% 9.90/1.99 % BCE eliminated: 4
% 9.90/1.99 % PE start: 205
% 9.90/1.99 logic: eq
% 9.90/1.99 % PE eliminated: 6
% 9.90/1.99 % done 635 iterations in 1.268s
% 9.90/1.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.90/1.99 % SZS output start Refutation
% 9.90/1.99 thf(nil_type, type, nil: $i).
% 9.90/1.99 thf(leq_type, type, leq: $i > $i > $o).
% 9.90/1.99 thf(cons_type, type, cons: $i > $i > $i).
% 9.90/1.99 thf(sk9_type, type, sk9: $i).
% 9.90/1.99 thf(sk8_type, type, sk8: $i).
% 9.90/1.99 thf(sk6_type, type, sk6: $i).
% 9.90/1.99 thf(lt_type, type, lt: $i > $i > $o).
% 9.90/1.99 thf(ssItem_type, type, ssItem: $i > $o).
% 9.90/1.99 thf(sk11_type, type, sk11: $i).
% 9.90/1.99 thf(strictorderedP_type, type, strictorderedP: $i > $o).
% 9.90/1.99 thf(sk5_type, type, sk5: $i).
% 9.90/1.99 thf(sk3_type, type, sk3: $i).
% 9.90/1.99 thf(app_type, type, app: $i > $i > $i).
% 9.90/1.99 thf(ssList_type, type, ssList: $i > $o).
% 9.90/1.99 thf(sk7_type, type, sk7: $i).
% 9.90/1.99 thf(sk1_type, type, sk1: $i).
% 9.90/1.99 thf(clause120, axiom,
% 9.90/1.99 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 9.90/1.99 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 9.90/1.99 thf(zip_derived_cl119, plain,
% 9.90/1.99 (![X0 : $i, X1 : $i]:
% 9.90/1.99 (~ (ssItem @ X0)
% 9.90/1.99 | ~ (ssList @ X1)
% 9.90/1.99 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 9.90/1.99 inference('cnf', [status(esa)], [clause120])).
% 9.90/1.99 thf(clause86, axiom,
% 9.90/1.99 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 9.90/1.99 thf(zip_derived_cl85, plain,
% 9.90/1.99 (![X0 : $i, X1 : $i]:
% 9.90/1.99 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 9.90/1.99 inference('cnf', [status(esa)], [clause86])).
% 9.90/1.99 thf(clause85, axiom,
% 9.90/1.99 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 9.90/1.99 thf(zip_derived_cl84, plain,
% 9.90/1.99 (![X0 : $i, X1 : $i]:
% 9.90/1.99 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 9.90/1.99 inference('cnf', [status(esa)], [clause85])).
% 9.90/1.99 thf(zip_derived_cl85, plain,
% 9.90/1.99 (![X0 : $i, X1 : $i]:
% 9.90/1.99 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 9.90/1.99 inference('cnf', [status(esa)], [clause86])).
% 9.90/1.99 thf(zip_derived_cl119, plain,
% 9.90/1.99 (![X0 : $i, X1 : $i]:
% 9.90/1.99 (~ (ssItem @ X0)
% 9.90/1.99 | ~ (ssList @ X1)
% 9.90/1.99 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 9.90/1.99 inference('cnf', [status(esa)], [clause120])).
% 9.90/1.99 thf(zip_derived_cl85, plain,
% 9.90/1.99 (![X0 : $i, X1 : $i]:
% 9.90/1.99 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 9.90/1.99 inference('cnf', [status(esa)], [clause86])).
% 9.90/1.99 thf(clause149, axiom,
% 9.90/1.99 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 9.90/1.99 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 9.90/1.99 thf(zip_derived_cl148, plain,
% 9.90/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.90/1.99 (~ (ssList @ X0)
% 9.90/1.99 | ~ (ssList @ X1)
% 9.90/1.99 | ~ (ssList @ X2)
% 9.90/1.99 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 9.90/1.99 inference('cnf', [status(esa)], [clause149])).
% 9.90/1.99 thf(co1_12, conjecture,
% 9.90/1.99 (( app @
% 9.90/1.99 ( app @
% 9.90/1.99 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ sk8 ) @
% 9.90/1.99 ( cons @ sk6 @ nil ) ) @
% 9.90/1.99 sk9 ) !=
% 9.90/1.99 ( sk1 ))).
% 9.90/1.99 thf(zf_stmt_0, negated_conjecture,
% 9.90/1.99 (( app @
% 9.90/1.99 ( app @
% 9.90/1.99 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ sk8 ) @
% 9.90/1.99 ( cons @ sk6 @ nil ) ) @
% 9.90/1.99 sk9 ) =
% 9.90/1.99 ( sk1 )),
% 9.90/1.99 inference('cnf.neg', [status(esa)], [co1_12])).
% 9.90/1.99 thf(zip_derived_cl196, plain,
% 9.90/1.99 (((app @
% 9.90/1.99 (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 9.90/1.99 (cons @ sk6 @ nil)) @
% 9.90/1.99 sk9) = (sk1))),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.90/1.99 thf(zip_derived_cl2294, plain,
% 9.90/1.99 ((~ (ssList @ sk7)
% 9.90/1.99 | ~ (ssList @ (cons @ sk5 @ nil))
% 9.90/1.99 | ~ (ssList @ sk8)
% 9.90/1.99 | ((app @
% 9.90/1.99 (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 9.90/1.99 (cons @ sk6 @ nil)) @
% 9.90/1.99 sk9) = (sk1)))),
% 9.90/1.99 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl196])).
% 9.90/1.99 thf(co1_9, conjecture, (~( ssList @ sk7 ))).
% 9.90/1.99 thf(zf_stmt_1, negated_conjecture, (ssList @ sk7),
% 9.90/1.99 inference('cnf.neg', [status(esa)], [co1_9])).
% 9.90/1.99 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.90/1.99 thf(co1_10, conjecture, (~( ssList @ sk8 ))).
% 9.90/1.99 thf(zf_stmt_2, negated_conjecture, (ssList @ sk8),
% 9.90/1.99 inference('cnf.neg', [status(esa)], [co1_10])).
% 9.90/1.99 thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.90/1.99 thf(zip_derived_cl2348, plain,
% 9.90/1.99 ((~ (ssList @ (cons @ sk5 @ nil))
% 9.90/1.99 | ((app @
% 9.90/1.99 (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 9.90/1.99 (cons @ sk6 @ nil)) @
% 9.90/1.99 sk9) = (sk1)))),
% 9.90/1.99 inference('demod', [status(thm)],
% 9.90/1.99 [zip_derived_cl2294, zip_derived_cl193, zip_derived_cl194])).
% 9.90/1.99 thf(zip_derived_cl2352, plain,
% 9.90/1.99 ((~ (ssList @ nil)
% 9.90/1.99 | ~ (ssItem @ sk5)
% 9.90/1.99 | ((app @
% 9.90/1.99 (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 9.90/1.99 (cons @ sk6 @ nil)) @
% 9.90/1.99 sk9) = (sk1)))),
% 9.90/1.99 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2348])).
% 9.90/1.99 thf(clause8, axiom, (ssList @ nil)).
% 9.90/1.99 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.90/1.99 inference('cnf', [status(esa)], [clause8])).
% 9.90/1.99 thf(co1_7, conjecture, (~( ssItem @ sk5 ))).
% 9.90/1.99 thf(zf_stmt_3, negated_conjecture, (ssItem @ sk5),
% 9.90/1.99 inference('cnf.neg', [status(esa)], [co1_7])).
% 9.90/1.99 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.90/1.99 thf(zip_derived_cl2353, plain,
% 9.90/1.99 (((app @
% 9.90/1.99 (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 9.90/1.99 (cons @ sk6 @ nil)) @
% 9.90/1.99 sk9) = (sk1))),
% 9.90/1.99 inference('demod', [status(thm)],
% 9.90/1.99 [zip_derived_cl2352, zip_derived_cl7, zip_derived_cl191])).
% 9.90/1.99 thf(zip_derived_cl2375, plain,
% 9.90/1.99 ((~ (ssList @ sk8)
% 9.90/1.99 | ~ (ssItem @ sk5)
% 9.90/1.99 | ((app @
% 9.90/1.99 (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ (cons @ sk6 @ nil)) @ sk9)
% 9.90/1.99 = (sk1)))),
% 9.90/1.99 inference('s_sup+', [status(thm)],
% 9.90/1.99 [zip_derived_cl119, zip_derived_cl2353])).
% 9.90/1.99 thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.90/1.99 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.90/1.99 thf(zip_derived_cl2379, plain,
% 9.90/1.99 (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ (cons @ sk6 @ nil)) @
% 9.90/1.99 sk9) = (sk1))),
% 9.90/1.99 inference('demod', [status(thm)],
% 9.90/1.99 [zip_derived_cl2375, zip_derived_cl194, zip_derived_cl191])).
% 9.90/1.99 thf(zip_derived_cl148, plain,
% 9.90/1.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.90/1.99 (~ (ssList @ X0)
% 9.90/1.99 | ~ (ssList @ X1)
% 9.90/1.99 | ~ (ssList @ X2)
% 9.90/1.99 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 9.90/1.99 inference('cnf', [status(esa)], [clause149])).
% 9.90/1.99 thf(zip_derived_cl2413, plain,
% 9.90/1.99 ((~ (ssList @ sk9)
% 9.90/1.99 | ~ (ssList @ (cons @ sk6 @ nil))
% 9.90/1.99 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 9.90/1.99 | ((sk1)
% 9.90/1.99 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 9.90/1.99 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 9.90/1.99 inference('s_sup+', [status(thm)],
% 9.90/1.99 [zip_derived_cl2379, zip_derived_cl148])).
% 9.90/1.99 thf(co1_11, conjecture, (~( ssList @ sk9 ))).
% 9.90/1.99 thf(zf_stmt_4, negated_conjecture, (ssList @ sk9),
% 9.90/1.99 inference('cnf.neg', [status(esa)], [co1_11])).
% 9.90/1.99 thf(zip_derived_cl195, plain, ( (ssList @ sk9)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.90/1.99 thf(zip_derived_cl2435, plain,
% 9.90/1.99 ((~ (ssList @ (cons @ sk6 @ nil))
% 9.90/1.99 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 9.90/1.99 | ((sk1)
% 9.90/1.99 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 9.90/1.99 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 9.90/1.99 inference('demod', [status(thm)], [zip_derived_cl2413, zip_derived_cl195])).
% 9.90/1.99 thf(zip_derived_cl5921, plain,
% 9.90/1.99 ((~ (ssList @ nil)
% 9.90/1.99 | ~ (ssItem @ sk6)
% 9.90/1.99 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 9.90/1.99 | ((sk1)
% 9.90/1.99 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 9.90/1.99 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 9.90/1.99 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2435])).
% 9.90/1.99 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.90/1.99 inference('cnf', [status(esa)], [clause8])).
% 9.90/1.99 thf(co1_8, conjecture, (~( ssItem @ sk6 ))).
% 9.90/1.99 thf(zf_stmt_5, negated_conjecture, (ssItem @ sk6),
% 9.90/1.99 inference('cnf.neg', [status(esa)], [co1_8])).
% 9.90/1.99 thf(zip_derived_cl192, plain, ( (ssItem @ sk6)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_5])).
% 9.90/1.99 thf(zip_derived_cl5922, plain,
% 9.90/1.99 ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 9.90/1.99 | ((sk1)
% 9.90/1.99 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 9.90/1.99 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 9.90/1.99 inference('demod', [status(thm)],
% 9.90/1.99 [zip_derived_cl5921, zip_derived_cl7, zip_derived_cl192])).
% 9.90/1.99 thf(zip_derived_cl5945, plain,
% 9.90/1.99 ((~ (ssList @ sk7)
% 9.90/1.99 | ~ (ssList @ (cons @ sk5 @ sk8))
% 9.90/1.99 | ((sk1)
% 9.90/1.99 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 9.90/1.99 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 9.90/1.99 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl5922])).
% 9.90/1.99 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.90/1.99 thf(zip_derived_cl5947, plain,
% 9.90/1.99 ((~ (ssList @ (cons @ sk5 @ sk8))
% 9.90/1.99 | ((sk1)
% 9.90/1.99 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 9.90/1.99 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 9.90/1.99 inference('demod', [status(thm)], [zip_derived_cl5945, zip_derived_cl193])).
% 9.90/1.99 thf(zip_derived_cl5949, plain,
% 9.90/1.99 ((~ (ssList @ sk8)
% 9.90/1.99 | ~ (ssItem @ sk5)
% 9.90/1.99 | ((sk1)
% 9.90/1.99 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 9.90/1.99 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 9.90/1.99 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl5947])).
% 9.90/1.99 thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.90/1.99 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.90/1.99 thf(zip_derived_cl5950, plain,
% 9.90/1.99 (((sk1)
% 9.90/1.99 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 9.90/1.99 (app @ (cons @ sk6 @ nil) @ sk9)))),
% 9.90/1.99 inference('demod', [status(thm)],
% 9.90/1.99 [zip_derived_cl5949, zip_derived_cl194, zip_derived_cl191])).
% 9.90/1.99 thf(zip_derived_cl5979, plain,
% 9.90/1.99 ((~ (ssList @ sk9)
% 9.90/1.99 | ~ (ssItem @ sk6)
% 9.90/1.99 | ((sk1)
% 9.90/1.99 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ (cons @ sk6 @ sk9))))),
% 9.90/1.99 inference('s_sup+', [status(thm)],
% 9.90/1.99 [zip_derived_cl119, zip_derived_cl5950])).
% 9.90/1.99 thf(zip_derived_cl195, plain, ( (ssList @ sk9)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.90/1.99 thf(zip_derived_cl192, plain, ( (ssItem @ sk6)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_5])).
% 9.90/1.99 thf(zip_derived_cl5983, plain,
% 9.90/1.99 (((sk1) = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ (cons @ sk6 @ sk9)))),
% 9.90/1.99 inference('demod', [status(thm)],
% 9.90/1.99 [zip_derived_cl5979, zip_derived_cl195, zip_derived_cl192])).
% 9.90/1.99 thf(clause181, axiom,
% 9.90/1.99 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) ) != ( Z ) ) |
% 9.90/1.99 ( ~( ssList @ Y ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 9.90/1.99 ( ~( ssItem @ X ) ) | ( ~( ssItem @ V ) ) | ( ~( strictorderedP @ Z ) ) |
% 9.90/1.99 ( ~( ssList @ Z ) ) | ( lt @ V @ X ))).
% 9.90/1.99 thf(zip_derived_cl180, plain,
% 9.90/1.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.90/1.99 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X4 @ X5)) != (X0))
% 9.90/1.99 | ~ (ssList @ X5)
% 9.90/1.99 | ~ (ssList @ X3)
% 9.90/1.99 | ~ (ssList @ X1)
% 9.90/1.99 | ~ (ssItem @ X4)
% 9.90/1.99 | ~ (ssItem @ X2)
% 9.90/1.99 | ~ (strictorderedP @ X0)
% 9.90/1.99 | ~ (ssList @ X0)
% 9.90/1.99 | (lt @ X2 @ X4))),
% 9.90/1.99 inference('cnf', [status(esa)], [clause181])).
% 9.90/1.99 thf(zip_derived_cl6044, plain,
% 9.90/1.99 (![X0 : $i]:
% 9.90/1.99 (((sk1) != (X0))
% 9.90/1.99 | ~ (ssList @ sk9)
% 9.90/1.99 | ~ (ssList @ sk8)
% 9.90/1.99 | ~ (ssList @ sk7)
% 9.90/1.99 | ~ (ssItem @ sk6)
% 9.90/1.99 | ~ (ssItem @ sk5)
% 9.90/1.99 | ~ (strictorderedP @ X0)
% 9.90/1.99 | ~ (ssList @ X0)
% 9.90/1.99 | (lt @ sk5 @ sk6))),
% 9.90/1.99 inference('s_sup-', [status(thm)],
% 9.90/1.99 [zip_derived_cl5983, zip_derived_cl180])).
% 9.90/1.99 thf(zip_derived_cl195, plain, ( (ssList @ sk9)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.90/1.99 thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.90/1.99 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.90/1.99 thf(zip_derived_cl192, plain, ( (ssItem @ sk6)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_5])).
% 9.90/1.99 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.90/1.99 thf(co1_13, conjecture, (~( leq @ sk6 @ sk5 ))).
% 9.90/1.99 thf(zf_stmt_6, negated_conjecture, (leq @ sk6 @ sk5),
% 9.90/1.99 inference('cnf.neg', [status(esa)], [co1_13])).
% 9.90/1.99 thf(zip_derived_cl197, plain, ( (leq @ sk6 @ sk5)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_6])).
% 9.90/1.99 thf(clause121, axiom,
% 9.90/1.99 (( ~( leq @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssItem @ U ) ) |
% 9.90/1.99 ( lt @ U @ V ) | ( ( U ) = ( V ) ))).
% 9.90/1.99 thf(zip_derived_cl120, plain,
% 9.90/1.99 (![X0 : $i, X1 : $i]:
% 9.90/1.99 (~ (leq @ X0 @ X1)
% 9.90/1.99 | ~ (ssItem @ X1)
% 9.90/1.99 | ~ (ssItem @ X0)
% 9.90/1.99 | (lt @ X0 @ X1)
% 9.90/1.99 | ((X0) = (X1)))),
% 9.90/1.99 inference('cnf', [status(esa)], [clause121])).
% 9.90/1.99 thf(clause114, axiom,
% 9.90/1.99 (( ~( lt @ U @ V ) ) | ( ~( lt @ V @ U ) ) | ( ~( ssItem @ U ) ) |
% 9.90/1.99 ( ~( ssItem @ V ) ))).
% 9.90/1.99 thf(zip_derived_cl113, plain,
% 9.90/1.99 (![X0 : $i, X1 : $i]:
% 9.90/1.99 (~ (lt @ X0 @ X1)
% 9.90/1.99 | ~ (lt @ X1 @ X0)
% 9.90/1.99 | ~ (ssItem @ X0)
% 9.90/1.99 | ~ (ssItem @ X1))),
% 9.90/1.99 inference('cnf', [status(esa)], [clause114])).
% 9.90/1.99 thf(zip_derived_cl1711, plain,
% 9.90/1.99 (![X0 : $i, X1 : $i]:
% 9.90/1.99 (((X1) = (X0))
% 9.90/1.99 | ~ (ssItem @ X1)
% 9.90/1.99 | ~ (ssItem @ X0)
% 9.90/1.99 | ~ (leq @ X1 @ X0)
% 9.90/1.99 | ~ (lt @ X0 @ X1)
% 9.90/1.99 | ~ (ssItem @ X1)
% 9.90/1.99 | ~ (ssItem @ X0))),
% 9.90/1.99 inference('s_sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl113])).
% 9.90/1.99 thf(zip_derived_cl1715, plain,
% 9.90/1.99 (![X0 : $i, X1 : $i]:
% 9.90/1.99 (~ (lt @ X0 @ X1)
% 9.90/1.99 | ~ (leq @ X1 @ X0)
% 9.90/1.99 | ~ (ssItem @ X0)
% 9.90/1.99 | ~ (ssItem @ X1)
% 9.90/1.99 | ((X1) = (X0)))),
% 9.90/1.99 inference('simplify', [status(thm)], [zip_derived_cl1711])).
% 9.90/1.99 thf(clause111, axiom,
% 9.90/1.99 (( ( U ) != ( V ) ) | ( ~( lt @ U @ V ) ) | ( ~( ssItem @ V ) ) |
% 9.90/1.99 ( ~( ssItem @ U ) ))).
% 9.90/1.99 thf(zip_derived_cl110, plain,
% 9.90/1.99 (![X0 : $i, X1 : $i]:
% 9.90/1.99 (((X1) != (X0)) | ~ (lt @ X1 @ X0) | ~ (ssItem @ X0) | ~ (ssItem @ X1))),
% 9.90/1.99 inference('cnf', [status(esa)], [clause111])).
% 9.90/1.99 thf(zip_derived_cl1761, plain,
% 9.90/1.99 (![X0 : $i, X1 : $i]:
% 9.90/1.99 (~ (ssItem @ X1)
% 9.90/1.99 | ~ (ssItem @ X0)
% 9.90/1.99 | ~ (leq @ X1 @ X0)
% 9.90/1.99 | ~ (lt @ X0 @ X1))),
% 9.90/1.99 inference('clc', [status(thm)], [zip_derived_cl1715, zip_derived_cl110])).
% 9.90/1.99 thf(zip_derived_cl1763, plain,
% 9.90/1.99 ((~ (ssItem @ sk6) | ~ (ssItem @ sk5) | ~ (lt @ sk5 @ sk6))),
% 9.90/1.99 inference('s_sup-', [status(thm)],
% 9.90/1.99 [zip_derived_cl197, zip_derived_cl1761])).
% 9.90/1.99 thf(zip_derived_cl192, plain, ( (ssItem @ sk6)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_5])).
% 9.90/1.99 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.90/1.99 thf(zip_derived_cl1765, plain, (~ (lt @ sk5 @ sk6)),
% 9.90/1.99 inference('demod', [status(thm)],
% 9.90/1.99 [zip_derived_cl1763, zip_derived_cl192, zip_derived_cl191])).
% 9.90/1.99 thf(zip_derived_cl6077, plain,
% 9.90/1.99 (![X0 : $i]:
% 9.90/1.99 (((sk1) != (X0)) | ~ (strictorderedP @ X0) | ~ (ssList @ X0))),
% 9.90/1.99 inference('demod', [status(thm)],
% 9.90/1.99 [zip_derived_cl6044, zip_derived_cl195, zip_derived_cl194,
% 9.90/1.99 zip_derived_cl193, zip_derived_cl192, zip_derived_cl191,
% 9.90/1.99 zip_derived_cl1765])).
% 9.90/1.99 thf(zip_derived_cl6189, plain,
% 9.90/1.99 ((~ (ssList @ sk1) | ~ (strictorderedP @ sk1))),
% 9.90/1.99 inference('eq_res', [status(thm)], [zip_derived_cl6077])).
% 9.90/1.99 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 9.90/1.99 thf(zf_stmt_7, negated_conjecture, (ssList @ sk1),
% 9.90/1.99 inference('cnf.neg', [status(esa)], [co1_1])).
% 9.90/1.99 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_7])).
% 9.90/1.99 thf(zip_derived_cl6190, plain, (~ (strictorderedP @ sk1)),
% 9.90/1.99 inference('demod', [status(thm)], [zip_derived_cl6189, zip_derived_cl185])).
% 9.90/1.99 thf(co1_22, conjecture,
% 9.90/1.99 (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk11 @ nil ) = ( sk3 ) ) ))).
% 9.90/1.99 thf(zf_stmt_8, negated_conjecture,
% 9.90/1.99 (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk11 @ nil ) = ( sk3 ) )),
% 9.90/1.99 inference('cnf.neg', [status(esa)], [co1_22])).
% 9.90/1.99 thf(zip_derived_cl206, plain,
% 9.90/1.99 ((((nil) = (sk3)) | ((cons @ sk11 @ nil) = (sk3)))),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_8])).
% 9.90/1.99 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 9.90/1.99 thf(zf_stmt_9, negated_conjecture, (( sk1 ) = ( sk3 )),
% 9.90/1.99 inference('cnf.neg', [status(esa)], [co1_6])).
% 9.90/1.99 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_9])).
% 9.90/1.99 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_9])).
% 9.90/1.99 thf(zip_derived_cl1401, plain,
% 9.90/1.99 ((((nil) = (sk1)) | ((cons @ sk11 @ nil) = (sk1)))),
% 9.90/1.99 inference('demod', [status(thm)],
% 9.90/1.99 [zip_derived_cl206, zip_derived_cl190, zip_derived_cl190])).
% 9.90/1.99 thf(clause66, axiom,
% 9.90/1.99 (( ~( ssItem @ U ) ) | ( strictorderedP @ ( cons @ U @ nil ) ))).
% 9.90/1.99 thf(zip_derived_cl65, plain,
% 9.90/1.99 (![X0 : $i]: (~ (ssItem @ X0) | (strictorderedP @ (cons @ X0 @ nil)))),
% 9.90/1.99 inference('cnf', [status(esa)], [clause66])).
% 9.90/1.99 thf(zip_derived_cl1459, plain,
% 9.90/1.99 ((((nil) = (sk1)) | ~ (ssItem @ sk11) | (strictorderedP @ sk1))),
% 9.90/1.99 inference('s_sup+', [status(thm)], [zip_derived_cl1401, zip_derived_cl65])).
% 9.90/1.99 thf(co1_18, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk11 ) ))).
% 9.90/1.99 thf(zf_stmt_10, negated_conjecture,
% 9.90/1.99 (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk11 )),
% 9.90/1.99 inference('cnf.neg', [status(esa)], [co1_18])).
% 9.90/1.99 thf(zip_derived_cl202, plain, ((((nil) = (sk3)) | (ssItem @ sk11))),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_10])).
% 9.90/1.99 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 9.90/1.99 inference('cnf', [status(esa)], [zf_stmt_9])).
% 9.90/1.99 thf(zip_derived_cl1411, plain, ((((nil) = (sk1)) | (ssItem @ sk11))),
% 9.90/1.99 inference('demod', [status(thm)], [zip_derived_cl202, zip_derived_cl190])).
% 9.90/1.99 thf(zip_derived_cl1463, plain, (( (strictorderedP @ sk1) | ((nil) = (sk1)))),
% 9.90/1.99 inference('clc', [status(thm)], [zip_derived_cl1459, zip_derived_cl1411])).
% 9.90/1.99 thf(zip_derived_cl6190, plain, (~ (strictorderedP @ sk1)),
% 9.90/1.99 inference('demod', [status(thm)], [zip_derived_cl6189, zip_derived_cl185])).
% 9.90/1.99 thf(zip_derived_cl6218, plain, (((nil) = (sk1))),
% 9.90/1.99 inference('s_sup-', [status(thm)],
% 9.90/1.99 [zip_derived_cl1463, zip_derived_cl6190])).
% 9.90/1.99 thf(clause3, axiom, (strictorderedP @ nil)).
% 9.90/1.99 thf(zip_derived_cl2, plain, ( (strictorderedP @ nil)),
% 9.90/1.99 inference('cnf', [status(esa)], [clause3])).
% 9.90/1.99 thf(zip_derived_cl6453, plain, ($false),
% 9.90/1.99 inference('demod', [status(thm)],
% 9.90/1.99 [zip_derived_cl6190, zip_derived_cl6218, zip_derived_cl2])).
% 9.90/1.99
% 9.90/1.99 % SZS output end Refutation
% 9.90/1.99
% 9.90/1.99
% 9.90/1.99 % Terminating...
% 9.90/2.04 % Runner terminated.
% 9.90/2.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------