TSTP Solution File: SWC190-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC190-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KEgYJzNzSD 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 Aug 31 21:29:46 EDT 2023
% Result : Unsatisfiable 53.37s 13.01s
% Output : Refutation 53.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.44 % Problem : SWC190-1 : TPTP v8.1.2. Released v2.4.0.
% 0.17/0.46 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KEgYJzNzSD true
% 0.17/0.66 % Computer : n019.cluster.edu
% 0.17/0.66 % Model : x86_64 x86_64
% 0.17/0.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.66 % Memory : 8042.1875MB
% 0.17/0.66 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.66 % CPULimit : 300
% 0.17/0.66 % WCLimit : 300
% 0.17/0.66 % DateTime : Mon Aug 28 17:24:28 EDT 2023
% 0.17/0.68 % CPUTime :
% 0.17/0.68 % Running portfolio for 300 s
% 0.17/0.68 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.68 % Number of cores: 8
% 0.17/0.69 % Python version: Python 3.6.8
% 0.17/0.69 % Running in FO mode
% 0.37/1.03 % Total configuration time : 435
% 0.37/1.03 % Estimated wc time : 1092
% 0.37/1.03 % Estimated cpu time (7 cpus) : 156.0
% 0.38/1.16 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.38/1.17 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.38/1.27 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.38/1.27 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.38/1.29 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.38/1.30 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.38/1.32 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 53.37/13.01 % Solved by fo/fo3_bce.sh.
% 53.37/13.01 % BCE start: 39
% 53.37/13.01 % BCE eliminated: 0
% 53.37/13.01 % PE start: 39
% 53.37/13.01 logic: eq
% 53.37/13.01 % PE eliminated: 0
% 53.37/13.01 % done 5071 iterations in 11.758s
% 53.37/13.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 53.37/13.01 % SZS output start Refutation
% 53.37/13.01 thf(nil_type, type, nil: $i).
% 53.37/13.01 thf(cons_type, type, cons: $i > $i > $i).
% 53.37/13.01 thf(sk9_type, type, sk9: $i).
% 53.37/13.01 thf(sk8_type, type, sk8: $i).
% 53.37/13.01 thf(sk6_type, type, sk6: $i).
% 53.37/13.01 thf(memberP_type, type, memberP: $i > $i > $o).
% 53.37/13.01 thf(ssItem_type, type, ssItem: $i > $o).
% 53.37/13.01 thf(sk5_type, type, sk5: $i).
% 53.37/13.01 thf(sk3_type, type, sk3: $i).
% 53.37/13.01 thf(app_type, type, app: $i > $i > $i).
% 53.37/13.01 thf(ssList_type, type, ssList: $i > $o).
% 53.37/13.01 thf(sk7_type, type, sk7: $i).
% 53.37/13.01 thf(sk1_type, type, sk1: $i).
% 53.37/13.01 thf(clause86, axiom,
% 53.37/13.01 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 53.37/13.01 thf(zip_derived_cl5, plain,
% 53.37/13.01 (![X0 : $i, X1 : $i]:
% 53.37/13.01 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 53.37/13.01 inference('cnf', [status(esa)], [clause86])).
% 53.37/13.01 thf(zip_derived_cl5, plain,
% 53.37/13.01 (![X0 : $i, X1 : $i]:
% 53.37/13.01 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 53.37/13.01 inference('cnf', [status(esa)], [clause86])).
% 53.37/13.01 thf(co1_14, conjecture,
% 53.37/13.01 (~( ( ~( memberP @ sk3 @ A ) ) | ( ( sk9 ) = ( A ) ) | ( ~( ssItem @ A ) ) ))).
% 53.37/13.01 thf(zf_stmt_0, negated_conjecture,
% 53.37/13.01 (( ~( memberP @ sk3 @ A ) ) | ( ( sk9 ) = ( A ) ) | ( ~( ssItem @ A ) )),
% 53.37/13.01 inference('cnf.neg', [status(esa)], [co1_14])).
% 53.37/13.01 thf(zip_derived_cl25, plain,
% 53.37/13.01 (![X0 : $i]: (~ (memberP @ sk3 @ X0) | ((sk9) = (X0)) | ~ (ssItem @ X0))),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 53.37/13.01 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 53.37/13.01 thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 53.37/13.01 inference('cnf.neg', [status(esa)], [co1_6])).
% 53.37/13.01 thf(zip_derived_cl33, plain, (((sk1) = (sk3))),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_1])).
% 53.37/13.01 thf(zip_derived_cl225, plain,
% 53.37/13.01 (![X0 : $i]: (~ (memberP @ sk1 @ X0) | ((sk9) = (X0)) | ~ (ssItem @ X0))),
% 53.37/13.01 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl33])).
% 53.37/13.01 thf(zip_derived_cl5, plain,
% 53.37/13.01 (![X0 : $i, X1 : $i]:
% 53.37/13.01 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 53.37/13.01 inference('cnf', [status(esa)], [clause86])).
% 53.37/13.01 thf(zip_derived_cl5, plain,
% 53.37/13.01 (![X0 : $i, X1 : $i]:
% 53.37/13.01 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 53.37/13.01 inference('cnf', [status(esa)], [clause86])).
% 53.37/13.01 thf(zip_derived_cl225, plain,
% 53.37/13.01 (![X0 : $i]: (~ (memberP @ sk1 @ X0) | ((sk9) = (X0)) | ~ (ssItem @ X0))),
% 53.37/13.01 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl33])).
% 53.37/13.01 thf(clause85, axiom,
% 53.37/13.01 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 53.37/13.01 thf(zip_derived_cl4, plain,
% 53.37/13.01 (![X0 : $i, X1 : $i]:
% 53.37/13.01 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 53.37/13.01 inference('cnf', [status(esa)], [clause85])).
% 53.37/13.01 thf(clause175, axiom,
% 53.37/13.01 (( ( app @ U @ ( cons @ V @ W ) ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 53.37/13.01 ( ~( ssList @ U ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ X ) ) |
% 53.37/13.01 ( memberP @ X @ V ))).
% 53.37/13.01 thf(zip_derived_cl24, plain,
% 53.37/13.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 53.37/13.01 (((app @ X1 @ (cons @ X2 @ X3)) != (X0))
% 53.37/13.01 | ~ (ssList @ X3)
% 53.37/13.01 | ~ (ssList @ X1)
% 53.37/13.01 | ~ (ssItem @ X2)
% 53.37/13.01 | ~ (ssList @ X0)
% 53.37/13.01 | (memberP @ X0 @ X2))),
% 53.37/13.01 inference('cnf', [status(esa)], [clause175])).
% 53.37/13.01 thf(zip_derived_cl459, plain,
% 53.37/13.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.37/13.01 ( (memberP @ (app @ X2 @ (cons @ X0 @ X1)) @ X0)
% 53.37/13.01 | ~ (ssList @ (app @ X2 @ (cons @ X0 @ X1)))
% 53.37/13.01 | ~ (ssItem @ X0)
% 53.37/13.01 | ~ (ssList @ X2)
% 53.37/13.01 | ~ (ssList @ X1))),
% 53.37/13.01 inference('eq_res', [status(thm)], [zip_derived_cl24])).
% 53.37/13.01 thf(clause140, axiom,
% 53.37/13.01 (( ~( memberP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 53.37/13.01 ( ~( ssItem @ V ) ) | ( memberP @ ( app @ U @ W ) @ V ))).
% 53.37/13.01 thf(zip_derived_cl13, plain,
% 53.37/13.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.37/13.01 (~ (memberP @ X0 @ X1)
% 53.37/13.01 | ~ (ssList @ X2)
% 53.37/13.01 | ~ (ssList @ X0)
% 53.37/13.01 | ~ (ssItem @ X1)
% 53.37/13.01 | (memberP @ (app @ X0 @ X2) @ X1))),
% 53.37/13.01 inference('cnf', [status(esa)], [clause140])).
% 53.37/13.01 thf(co1_11, conjecture,
% 53.37/13.01 (( app @
% 53.37/13.01 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ ( cons @ sk6 @ nil ) ) @
% 53.37/13.01 sk8 ) !=
% 53.37/13.01 ( sk1 ))).
% 53.37/13.01 thf(zf_stmt_2, negated_conjecture,
% 53.37/13.01 (( app @
% 53.37/13.01 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ ( cons @ sk6 @ nil ) ) @
% 53.37/13.01 sk8 ) =
% 53.37/13.01 ( sk1 )),
% 53.37/13.01 inference('cnf.neg', [status(esa)], [co1_11])).
% 53.37/13.01 thf(zip_derived_cl28, plain,
% 53.37/13.01 (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)) @
% 53.37/13.01 sk8) = (sk1))),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 53.37/13.01 thf(zip_derived_cl13, plain,
% 53.37/13.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.37/13.01 (~ (memberP @ X0 @ X1)
% 53.37/13.01 | ~ (ssList @ X2)
% 53.37/13.01 | ~ (ssList @ X0)
% 53.37/13.01 | ~ (ssItem @ X1)
% 53.37/13.01 | (memberP @ (app @ X0 @ X2) @ X1))),
% 53.37/13.01 inference('cnf', [status(esa)], [clause140])).
% 53.37/13.01 thf(zip_derived_cl481, plain,
% 53.37/13.01 (![X0 : $i]:
% 53.37/13.01 ( (memberP @ sk1 @ X0)
% 53.37/13.01 | ~ (ssItem @ X0)
% 53.37/13.01 | ~ (ssList @
% 53.37/13.01 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)))
% 53.37/13.01 | ~ (ssList @ sk8)
% 53.37/13.01 | ~ (memberP @
% 53.37/13.01 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)) @
% 53.37/13.01 X0))),
% 53.37/13.01 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl13])).
% 53.37/13.01 thf(co1_10, conjecture, (~( ssList @ sk8 ))).
% 53.37/13.01 thf(zf_stmt_3, negated_conjecture, (ssList @ sk8),
% 53.37/13.01 inference('cnf.neg', [status(esa)], [co1_10])).
% 53.37/13.01 thf(zip_derived_cl29, plain, ( (ssList @ sk8)),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_3])).
% 53.37/13.01 thf(zip_derived_cl492, plain,
% 53.37/13.01 (![X0 : $i]:
% 53.37/13.01 ( (memberP @ sk1 @ X0)
% 53.37/13.01 | ~ (ssItem @ X0)
% 53.37/13.01 | ~ (ssList @
% 53.37/13.01 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)))
% 53.37/13.01 | ~ (memberP @
% 53.37/13.01 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)) @
% 53.37/13.01 X0))),
% 53.37/13.01 inference('demod', [status(thm)], [zip_derived_cl481, zip_derived_cl29])).
% 53.37/13.01 thf(zip_derived_cl3718, plain,
% 53.37/13.01 (![X0 : $i]:
% 53.37/13.01 (~ (ssItem @ X0)
% 53.37/13.01 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 53.37/13.01 | ~ (ssList @ (cons @ sk6 @ nil))
% 53.37/13.01 | ~ (memberP @ (app @ sk7 @ (cons @ sk5 @ nil)) @ X0)
% 53.37/13.01 | ~ (ssList @
% 53.37/13.01 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)))
% 53.37/13.01 | ~ (ssItem @ X0)
% 53.37/13.01 | (memberP @ sk1 @ X0))),
% 53.37/13.01 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl492])).
% 53.37/13.01 thf(zip_derived_cl3734, plain,
% 53.37/13.01 (![X0 : $i]:
% 53.37/13.01 ( (memberP @ sk1 @ X0)
% 53.37/13.01 | ~ (ssList @
% 53.37/13.01 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)))
% 53.37/13.01 | ~ (memberP @ (app @ sk7 @ (cons @ sk5 @ nil)) @ X0)
% 53.37/13.01 | ~ (ssList @ (cons @ sk6 @ nil))
% 53.37/13.01 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 53.37/13.01 | ~ (ssItem @ X0))),
% 53.37/13.01 inference('simplify', [status(thm)], [zip_derived_cl3718])).
% 53.37/13.01 thf(zip_derived_cl4, plain,
% 53.37/13.01 (![X0 : $i, X1 : $i]:
% 53.37/13.01 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 53.37/13.01 inference('cnf', [status(esa)], [clause85])).
% 53.37/13.01 thf(zip_derived_cl50078, plain,
% 53.37/13.01 (![X0 : $i]:
% 53.37/13.01 (~ (ssItem @ X0)
% 53.37/13.01 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 53.37/13.01 | ~ (ssList @ (cons @ sk6 @ nil))
% 53.37/13.01 | ~ (memberP @ (app @ sk7 @ (cons @ sk5 @ nil)) @ X0)
% 53.37/13.01 | (memberP @ sk1 @ X0))),
% 53.37/13.01 inference('clc', [status(thm)], [zip_derived_cl3734, zip_derived_cl4])).
% 53.37/13.01 thf(zip_derived_cl50090, plain,
% 53.37/13.01 ((~ (ssList @ nil)
% 53.37/13.01 | ~ (ssList @ sk7)
% 53.37/13.01 | ~ (ssItem @ sk5)
% 53.37/13.01 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 53.37/13.01 | (memberP @ sk1 @ sk5)
% 53.37/13.01 | ~ (ssList @ (cons @ sk6 @ nil))
% 53.37/13.01 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 53.37/13.01 | ~ (ssItem @ sk5))),
% 53.37/13.01 inference('sup-', [status(thm)], [zip_derived_cl459, zip_derived_cl50078])).
% 53.37/13.01 thf(clause8, axiom, (ssList @ nil)).
% 53.37/13.01 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 53.37/13.01 inference('cnf', [status(esa)], [clause8])).
% 53.37/13.01 thf(co1_9, conjecture, (~( ssList @ sk7 ))).
% 53.37/13.01 thf(zf_stmt_4, negated_conjecture, (ssList @ sk7),
% 53.37/13.01 inference('cnf.neg', [status(esa)], [co1_9])).
% 53.37/13.01 thf(zip_derived_cl30, plain, ( (ssList @ sk7)),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_4])).
% 53.37/13.01 thf(co1_7, conjecture, (~( ssItem @ sk5 ))).
% 53.37/13.01 thf(zf_stmt_5, negated_conjecture, (ssItem @ sk5),
% 53.37/13.01 inference('cnf.neg', [status(esa)], [co1_7])).
% 53.37/13.01 thf(zip_derived_cl32, plain, ( (ssItem @ sk5)),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_5])).
% 53.37/13.01 thf(zip_derived_cl32, plain, ( (ssItem @ sk5)),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_5])).
% 53.37/13.01 thf(zip_derived_cl50105, plain,
% 53.37/13.01 ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 53.37/13.01 | (memberP @ sk1 @ sk5)
% 53.37/13.01 | ~ (ssList @ (cons @ sk6 @ nil))
% 53.37/13.01 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil))))),
% 53.37/13.01 inference('demod', [status(thm)],
% 53.37/13.01 [zip_derived_cl50090, zip_derived_cl0, zip_derived_cl30,
% 53.37/13.01 zip_derived_cl32, zip_derived_cl32])).
% 53.37/13.01 thf(zip_derived_cl50106, plain,
% 53.37/13.01 ((~ (ssList @ (cons @ sk6 @ nil))
% 53.37/13.01 | (memberP @ sk1 @ sk5)
% 53.37/13.01 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil))))),
% 53.37/13.01 inference('simplify', [status(thm)], [zip_derived_cl50105])).
% 53.37/13.01 thf(zip_derived_cl50126, plain,
% 53.37/13.01 ((~ (ssList @ sk7)
% 53.37/13.01 | ~ (ssList @ (cons @ sk5 @ nil))
% 53.37/13.01 | (memberP @ sk1 @ sk5)
% 53.37/13.01 | ~ (ssList @ (cons @ sk6 @ nil)))),
% 53.37/13.01 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl50106])).
% 53.37/13.01 thf(zip_derived_cl30, plain, ( (ssList @ sk7)),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_4])).
% 53.37/13.01 thf(zip_derived_cl50128, plain,
% 53.37/13.01 ((~ (ssList @ (cons @ sk5 @ nil))
% 53.37/13.01 | (memberP @ sk1 @ sk5)
% 53.37/13.01 | ~ (ssList @ (cons @ sk6 @ nil)))),
% 53.37/13.01 inference('demod', [status(thm)], [zip_derived_cl50126, zip_derived_cl30])).
% 53.37/13.01 thf(zip_derived_cl50134, plain,
% 53.37/13.01 ((~ (ssItem @ sk5)
% 53.37/13.01 | ((sk9) = (sk5))
% 53.37/13.01 | ~ (ssList @ (cons @ sk6 @ nil))
% 53.37/13.01 | ~ (ssList @ (cons @ sk5 @ nil)))),
% 53.37/13.01 inference('sup+', [status(thm)], [zip_derived_cl225, zip_derived_cl50128])).
% 53.37/13.01 thf(zip_derived_cl32, plain, ( (ssItem @ sk5)),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_5])).
% 53.37/13.01 thf(zip_derived_cl50136, plain,
% 53.37/13.01 ((((sk9) = (sk5))
% 53.37/13.01 | ~ (ssList @ (cons @ sk6 @ nil))
% 53.37/13.01 | ~ (ssList @ (cons @ sk5 @ nil)))),
% 53.37/13.01 inference('demod', [status(thm)], [zip_derived_cl50134, zip_derived_cl32])).
% 53.37/13.01 thf(zip_derived_cl50148, plain,
% 53.37/13.01 ((~ (ssList @ nil)
% 53.37/13.01 | ~ (ssItem @ sk6)
% 53.37/13.01 | ~ (ssList @ (cons @ sk5 @ nil))
% 53.37/13.01 | ((sk9) = (sk5)))),
% 53.37/13.01 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl50136])).
% 53.37/13.01 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 53.37/13.01 inference('cnf', [status(esa)], [clause8])).
% 53.37/13.01 thf(co1_8, conjecture, (~( ssItem @ sk6 ))).
% 53.37/13.01 thf(zf_stmt_6, negated_conjecture, (ssItem @ sk6),
% 53.37/13.01 inference('cnf.neg', [status(esa)], [co1_8])).
% 53.37/13.01 thf(zip_derived_cl31, plain, ( (ssItem @ sk6)),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_6])).
% 53.37/13.01 thf(zip_derived_cl50153, plain,
% 53.37/13.01 ((~ (ssList @ (cons @ sk5 @ nil)) | ((sk9) = (sk5)))),
% 53.37/13.01 inference('demod', [status(thm)],
% 53.37/13.01 [zip_derived_cl50148, zip_derived_cl0, zip_derived_cl31])).
% 53.37/13.01 thf(zip_derived_cl50167, plain,
% 53.37/13.01 ((~ (ssList @ nil) | ~ (ssItem @ sk5) | ((sk9) = (sk5)))),
% 53.37/13.01 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl50153])).
% 53.37/13.01 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 53.37/13.01 inference('cnf', [status(esa)], [clause8])).
% 53.37/13.01 thf(zip_derived_cl32, plain, ( (ssItem @ sk5)),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_5])).
% 53.37/13.01 thf(zip_derived_cl50169, plain, (((sk9) = (sk5))),
% 53.37/13.01 inference('demod', [status(thm)],
% 53.37/13.01 [zip_derived_cl50167, zip_derived_cl0, zip_derived_cl32])).
% 53.37/13.01 thf(zip_derived_cl50174, plain,
% 53.37/13.01 (![X0 : $i]: (~ (memberP @ sk1 @ X0) | ((sk5) = (X0)) | ~ (ssItem @ X0))),
% 53.37/13.01 inference('demod', [status(thm)],
% 53.37/13.01 [zip_derived_cl225, zip_derived_cl50169])).
% 53.37/13.01 thf(zip_derived_cl4, plain,
% 53.37/13.01 (![X0 : $i, X1 : $i]:
% 53.37/13.01 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 53.37/13.01 inference('cnf', [status(esa)], [clause85])).
% 53.37/13.01 thf(zip_derived_cl4, plain,
% 53.37/13.01 (![X0 : $i, X1 : $i]:
% 53.37/13.01 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 53.37/13.01 inference('cnf', [status(esa)], [clause85])).
% 53.37/13.01 thf(zip_derived_cl459, plain,
% 53.37/13.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 53.37/13.01 ( (memberP @ (app @ X2 @ (cons @ X0 @ X1)) @ X0)
% 53.37/13.01 | ~ (ssList @ (app @ X2 @ (cons @ X0 @ X1)))
% 53.37/13.01 | ~ (ssItem @ X0)
% 53.37/13.01 | ~ (ssList @ X2)
% 53.37/13.01 | ~ (ssList @ X1))),
% 53.37/13.01 inference('eq_res', [status(thm)], [zip_derived_cl24])).
% 53.37/13.01 thf(zip_derived_cl492, plain,
% 53.37/13.01 (![X0 : $i]:
% 53.37/13.01 ( (memberP @ sk1 @ X0)
% 53.37/13.01 | ~ (ssItem @ X0)
% 53.37/13.01 | ~ (ssList @
% 53.37/13.01 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)))
% 53.37/13.01 | ~ (memberP @
% 53.37/13.01 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)) @
% 53.37/13.01 X0))),
% 53.37/13.01 inference('demod', [status(thm)], [zip_derived_cl481, zip_derived_cl29])).
% 53.37/13.01 thf(zip_derived_cl3720, plain,
% 53.37/13.01 ((~ (ssList @ nil)
% 53.37/13.01 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 53.37/13.01 | ~ (ssItem @ sk6)
% 53.37/13.01 | ~ (ssList @
% 53.37/13.01 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)))
% 53.37/13.01 | ~ (ssList @
% 53.37/13.01 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)))
% 53.37/13.01 | ~ (ssItem @ sk6)
% 53.37/13.01 | (memberP @ sk1 @ sk6))),
% 53.37/13.01 inference('sup-', [status(thm)], [zip_derived_cl459, zip_derived_cl492])).
% 53.37/13.01 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 53.37/13.01 inference('cnf', [status(esa)], [clause8])).
% 53.37/13.01 thf(zip_derived_cl31, plain, ( (ssItem @ sk6)),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_6])).
% 53.37/13.01 thf(zip_derived_cl31, plain, ( (ssItem @ sk6)),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_6])).
% 53.37/13.01 thf(zip_derived_cl3736, plain,
% 53.37/13.01 ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 53.37/13.01 | ~ (ssList @
% 53.37/13.01 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)))
% 53.37/13.01 | ~ (ssList @
% 53.37/13.01 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)))
% 53.37/13.01 | (memberP @ sk1 @ sk6))),
% 53.37/13.01 inference('demod', [status(thm)],
% 53.37/13.01 [zip_derived_cl3720, zip_derived_cl0, zip_derived_cl31,
% 53.37/13.01 zip_derived_cl31])).
% 53.37/13.01 thf(zip_derived_cl3737, plain,
% 53.37/13.01 (( (memberP @ sk1 @ sk6)
% 53.37/13.01 | ~ (ssList @
% 53.37/13.01 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)))
% 53.37/13.01 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil))))),
% 53.37/13.01 inference('simplify', [status(thm)], [zip_derived_cl3736])).
% 53.37/13.01 thf(zip_derived_cl50224, plain,
% 53.37/13.01 ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 53.37/13.01 | ~ (ssList @ (cons @ sk6 @ nil))
% 53.37/13.01 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 53.37/13.01 | (memberP @ sk1 @ sk6))),
% 53.37/13.01 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3737])).
% 53.37/13.01 thf(zip_derived_cl50228, plain,
% 53.37/13.01 (( (memberP @ sk1 @ sk6)
% 53.37/13.01 | ~ (ssList @ (cons @ sk6 @ nil))
% 53.37/13.01 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil))))),
% 53.37/13.01 inference('simplify', [status(thm)], [zip_derived_cl50224])).
% 53.37/13.01 thf(zip_derived_cl50334, plain,
% 53.37/13.01 ((~ (ssList @ sk7)
% 53.37/13.01 | ~ (ssList @ (cons @ sk5 @ nil))
% 53.37/13.01 | ~ (ssList @ (cons @ sk6 @ nil))
% 53.37/13.01 | (memberP @ sk1 @ sk6))),
% 53.37/13.01 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl50228])).
% 53.37/13.01 thf(zip_derived_cl30, plain, ( (ssList @ sk7)),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_4])).
% 53.37/13.01 thf(zip_derived_cl50336, plain,
% 53.37/13.01 ((~ (ssList @ (cons @ sk5 @ nil))
% 53.37/13.01 | ~ (ssList @ (cons @ sk6 @ nil))
% 53.37/13.01 | (memberP @ sk1 @ sk6))),
% 53.37/13.01 inference('demod', [status(thm)], [zip_derived_cl50334, zip_derived_cl30])).
% 53.37/13.01 thf(zip_derived_cl50341, plain,
% 53.37/13.01 ((~ (ssItem @ sk6)
% 53.37/13.01 | ((sk5) = (sk6))
% 53.37/13.01 | ~ (ssList @ (cons @ sk6 @ nil))
% 53.37/13.01 | ~ (ssList @ (cons @ sk5 @ nil)))),
% 53.37/13.01 inference('sup+', [status(thm)],
% 53.37/13.01 [zip_derived_cl50174, zip_derived_cl50336])).
% 53.37/13.01 thf(zip_derived_cl31, plain, ( (ssItem @ sk6)),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_6])).
% 53.37/13.01 thf(zip_derived_cl50342, plain,
% 53.37/13.01 ((((sk5) = (sk6))
% 53.37/13.01 | ~ (ssList @ (cons @ sk6 @ nil))
% 53.37/13.01 | ~ (ssList @ (cons @ sk5 @ nil)))),
% 53.37/13.01 inference('demod', [status(thm)], [zip_derived_cl50341, zip_derived_cl31])).
% 53.37/13.01 thf(co1_12, conjecture, (( sk5 ) = ( sk6 ))).
% 53.37/13.01 thf(zf_stmt_7, negated_conjecture, (( sk5 ) != ( sk6 )),
% 53.37/13.01 inference('cnf.neg', [status(esa)], [co1_12])).
% 53.37/13.01 thf(zip_derived_cl27, plain, (((sk5) != (sk6))),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_7])).
% 53.37/13.01 thf(zip_derived_cl50343, plain,
% 53.37/13.01 ((~ (ssList @ (cons @ sk6 @ nil)) | ~ (ssList @ (cons @ sk5 @ nil)))),
% 53.37/13.01 inference('simplify_reflect-', [status(thm)],
% 53.37/13.01 [zip_derived_cl50342, zip_derived_cl27])).
% 53.37/13.01 thf(zip_derived_cl50348, plain,
% 53.37/13.01 ((~ (ssList @ nil) | ~ (ssItem @ sk6) | ~ (ssList @ (cons @ sk5 @ nil)))),
% 53.37/13.01 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl50343])).
% 53.37/13.01 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 53.37/13.01 inference('cnf', [status(esa)], [clause8])).
% 53.37/13.01 thf(zip_derived_cl31, plain, ( (ssItem @ sk6)),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_6])).
% 53.37/13.01 thf(zip_derived_cl50350, plain, (~ (ssList @ (cons @ sk5 @ nil))),
% 53.37/13.01 inference('demod', [status(thm)],
% 53.37/13.01 [zip_derived_cl50348, zip_derived_cl0, zip_derived_cl31])).
% 53.37/13.01 thf(zip_derived_cl50356, plain, ((~ (ssList @ nil) | ~ (ssItem @ sk5))),
% 53.37/13.01 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl50350])).
% 53.37/13.01 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 53.37/13.01 inference('cnf', [status(esa)], [clause8])).
% 53.37/13.01 thf(zip_derived_cl32, plain, ( (ssItem @ sk5)),
% 53.37/13.01 inference('cnf', [status(esa)], [zf_stmt_5])).
% 53.37/13.01 thf(zip_derived_cl50358, plain, ($false),
% 53.37/13.01 inference('demod', [status(thm)],
% 53.37/13.01 [zip_derived_cl50356, zip_derived_cl0, zip_derived_cl32])).
% 53.37/13.01
% 53.37/13.01 % SZS output end Refutation
% 53.37/13.01
% 53.37/13.01
% 53.37/13.02 % Terminating...
% 54.84/13.48 % Runner terminated.
% 54.84/13.52 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------