TSTP Solution File: SWC198-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC198-1 : 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.lCEarItuDq true
% Computer : n021.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 21:29:49 EDT 2023
% Result : Unsatisfiable 0.57s 1.14s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC198-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lCEarItuDq true
% 0.13/0.35 % Computer : n021.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 : Mon Aug 28 18:22:28 EDT 2023
% 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
% 0.13/0.36 % Running in FO mode
% 0.48/0.64 % Total configuration time : 435
% 0.48/0.64 % Estimated wc time : 1092
% 0.48/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/1.14 % Solved by fo/fo1_av.sh.
% 0.57/1.14 % done 790 iterations in 0.375s
% 0.57/1.14 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/1.14 % SZS output start Refutation
% 0.57/1.14 thf(nil_type, type, nil: $i).
% 0.57/1.14 thf(sk6_type, type, sk6: $i).
% 0.57/1.14 thf(cons_type, type, cons: $i > $i > $i).
% 0.57/1.14 thf(sk4_type, type, sk4: $i).
% 0.57/1.14 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 0.57/1.14 thf(memberP_type, type, memberP: $i > $i > $o).
% 0.57/1.14 thf(skac3_type, type, skac3: $i).
% 0.57/1.14 thf(ssItem_type, type, ssItem: $i > $o).
% 0.57/1.14 thf(sk5_type, type, sk5: $i > $i).
% 0.57/1.14 thf(sk3_type, type, sk3: $i).
% 0.57/1.14 thf(app_type, type, app: $i > $i > $i).
% 0.57/1.14 thf(ssList_type, type, ssList: $i > $o).
% 0.57/1.14 thf(sk1_type, type, sk1: $i).
% 0.57/1.14 thf(co1_9, conjecture, (~( ( ( A ) != ( sk5 @ A ) ) | ( ~( ssItem @ A ) ) ))).
% 0.57/1.14 thf(zf_stmt_0, negated_conjecture,
% 0.57/1.14 (( ( A ) != ( sk5 @ A ) ) | ( ~( ssItem @ A ) )),
% 0.57/1.14 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.57/1.14 thf(zip_derived_cl193, plain,
% 0.57/1.14 (![X0 : $i]: (((X0) != (sk5 @ X0)) | ~ (ssItem @ X0))),
% 0.57/1.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/1.14 thf(clause72, axiom,
% 0.57/1.14 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 0.57/1.14 thf(zip_derived_cl71, plain,
% 0.57/1.14 (![X0 : $i, X1 : $i]:
% 0.57/1.14 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 0.57/1.14 inference('cnf', [status(esa)], [clause72])).
% 0.57/1.14 thf(zip_derived_cl202, plain,
% 0.57/1.14 ((![X1 : $i]: (ssItem @ X1)) <= ((![X1 : $i]: (ssItem @ X1)))),
% 0.57/1.14 inference('split', [status(esa)], [zip_derived_cl71])).
% 0.57/1.14 thf(zip_derived_cl203, plain,
% 0.57/1.14 ((![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0)))
% 0.57/1.14 <= ((![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0))))),
% 0.57/1.14 inference('split', [status(esa)], [zip_derived_cl71])).
% 0.57/1.14 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 0.57/1.14 thf(zip_derived_cl73, plain,
% 0.57/1.14 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 0.57/1.14 inference('cnf', [status(esa)], [clause74])).
% 0.57/1.14 thf(co1_12, conjecture,
% 0.57/1.14 (~( ( ( nil ) = ( sk4 ) ) | ( ( cons @ sk6 @ nil ) = ( sk3 ) ) ))).
% 0.57/1.14 thf(zf_stmt_1, negated_conjecture,
% 0.57/1.14 (( ( nil ) = ( sk4 ) ) | ( ( cons @ sk6 @ nil ) = ( sk3 ) )),
% 0.57/1.14 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.57/1.14 thf(zip_derived_cl196, plain,
% 0.57/1.14 ((((nil) = (sk4)) | ((cons @ sk6 @ nil) = (sk3)))),
% 0.57/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/1.14 thf(zip_derived_cl208, plain,
% 0.57/1.14 ((((cons @ sk6 @ nil) = (sk3))) <= ((((cons @ sk6 @ nil) = (sk3))))),
% 0.57/1.14 inference('split', [status(esa)], [zip_derived_cl196])).
% 0.57/1.14 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.57/1.14 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.57/1.14 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.57/1.14 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.57/1.14 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/1.14 thf(zip_derived_cl222, plain,
% 0.57/1.14 ((((cons @ sk6 @ nil) = (sk1))) <= ((((cons @ sk6 @ nil) = (sk3))))),
% 0.57/1.14 inference('demod', [status(thm)], [zip_derived_cl208, zip_derived_cl190])).
% 0.57/1.14 thf(co1_11, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk6 ) ))).
% 0.57/1.14 thf(zf_stmt_3, negated_conjecture,
% 0.57/1.14 (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk6 )),
% 0.57/1.14 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.57/1.14 thf(zip_derived_cl195, plain, ((((nil) = (sk3)) | (ssItem @ sk6))),
% 0.57/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/1.14 thf(zip_derived_cl207, plain, ((((nil) = (sk3))) <= ((((nil) = (sk3))))),
% 0.57/1.14 inference('split', [status(esa)], [zip_derived_cl195])).
% 0.57/1.14 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.57/1.14 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/1.14 thf(zip_derived_cl221, plain, ((((sk1) = (nil))) <= ((((nil) = (sk3))))),
% 0.57/1.14 inference('s_sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl190])).
% 0.57/1.14 thf(co1_8, conjecture,
% 0.57/1.14 (~( ( memberP @ sk1 @ ( sk5 @ A ) ) | ( ~( ssItem @ A ) ) ))).
% 0.57/1.14 thf(zf_stmt_4, negated_conjecture,
% 0.57/1.14 (( memberP @ sk1 @ ( sk5 @ A ) ) | ( ~( ssItem @ A ) )),
% 0.57/1.14 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.57/1.14 thf(zip_derived_cl192, plain,
% 0.57/1.14 (![X0 : $i]: ( (memberP @ sk1 @ (sk5 @ X0)) | ~ (ssItem @ X0))),
% 0.57/1.14 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.14 thf(zip_derived_cl253, plain,
% 0.57/1.14 ((![X0 : $i]: ( (memberP @ nil @ (sk5 @ X0)) | ~ (ssItem @ X0)))
% 0.57/1.14 <= ((((nil) = (sk3))))),
% 0.57/1.14 inference('s_sup+', [status(thm)], [zip_derived_cl221, zip_derived_cl192])).
% 0.57/1.14 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 0.57/1.14 thf(zip_derived_cl70, plain,
% 0.57/1.14 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 0.57/1.14 inference('cnf', [status(esa)], [clause71])).
% 0.57/1.14 thf(zip_derived_cl254, plain,
% 0.57/1.14 ((![X0 : $i]: (~ (ssItem @ X0) | ~ (ssItem @ (sk5 @ X0))))
% 0.57/1.14 <= ((((nil) = (sk3))))),
% 0.57/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl253, zip_derived_cl70])).
% 0.57/1.14 thf(co1_7, conjecture, (~( ( ssItem @ ( sk5 @ A ) ) | ( ~( ssItem @ A ) ) ))).
% 0.57/1.14 thf(zf_stmt_5, negated_conjecture,
% 0.57/1.14 (( ssItem @ ( sk5 @ A ) ) | ( ~( ssItem @ A ) )),
% 0.57/1.14 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.57/1.14 thf(zip_derived_cl191, plain,
% 0.57/1.14 (![X0 : $i]: ( (ssItem @ (sk5 @ X0)) | ~ (ssItem @ X0))),
% 0.57/1.14 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/1.14 thf(zip_derived_cl255, plain,
% 0.57/1.14 ((![X0 : $i]: ~ (ssItem @ X0)) <= ((((nil) = (sk3))))),
% 0.57/1.14 inference('clc', [status(thm)], [zip_derived_cl254, zip_derived_cl191])).
% 0.57/1.14 thf(clause9, axiom, (ssItem @ skac3)).
% 0.57/1.14 thf(zip_derived_cl8, plain, ( (ssItem @ skac3)),
% 0.57/1.14 inference('cnf', [status(esa)], [clause9])).
% 0.57/1.14 thf('0', plain, (~ (((nil) = (sk3)))),
% 0.57/1.14 inference('s_sup+', [status(thm)], [zip_derived_cl255, zip_derived_cl8])).
% 0.57/1.14 thf(co1_15, conjecture,
% 0.57/1.14 (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk6 @ nil ) = ( sk3 ) ) ))).
% 0.57/1.14 thf(zf_stmt_6, negated_conjecture,
% 0.57/1.14 (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk6 @ nil ) = ( sk3 ) )),
% 0.57/1.14 inference('cnf.neg', [status(esa)], [co1_15])).
% 0.57/1.14 thf(zip_derived_cl199, plain,
% 0.57/1.14 ((((nil) = (sk3)) | ((cons @ sk6 @ nil) = (sk3)))),
% 0.57/1.14 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/1.14 thf('1', plain, ((((cons @ sk6 @ nil) = (sk3))) | (((nil) = (sk3)))),
% 0.57/1.14 inference('split', [status(esa)], [zip_derived_cl199])).
% 0.57/1.14 thf('2', plain, ((((cons @ sk6 @ nil) = (sk3)))),
% 0.57/1.14 inference('sat_resolution*', [status(thm)], ['0', '1'])).
% 0.57/1.14 thf(zip_derived_cl269, plain, (((cons @ sk6 @ nil) = (sk1))),
% 0.57/1.14 inference('simpl_trail', [status(thm)], [zip_derived_cl222, '2'])).
% 0.57/1.14 thf(zip_derived_cl269, plain, (((cons @ sk6 @ nil) = (sk1))),
% 0.57/1.14 inference('simpl_trail', [status(thm)], [zip_derived_cl222, '2'])).
% 0.57/1.14 thf(clause179, axiom,
% 0.57/1.14 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 0.57/1.14 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 0.57/1.14 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 0.57/1.14 thf(zip_derived_cl178, plain,
% 0.57/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/1.14 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 0.57/1.14 | ~ (ssList @ X4)
% 0.57/1.14 | ~ (ssList @ X3)
% 0.57/1.14 | ~ (ssList @ X1)
% 0.57/1.14 | ~ (ssItem @ X2)
% 0.57/1.14 | ~ (duplicatefreeP @ X0)
% 0.57/1.14 | ~ (ssList @ X0))),
% 0.57/1.14 inference('cnf', [status(esa)], [clause179])).
% 0.57/1.14 thf(zip_derived_cl305, plain,
% 0.57/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.14 (((app @ (app @ X2 @ (cons @ sk6 @ X1)) @ sk1) != (X0))
% 0.57/1.14 | ~ (ssList @ nil)
% 0.57/1.14 | ~ (ssList @ X1)
% 0.57/1.14 | ~ (ssList @ X2)
% 0.57/1.14 | ~ (ssItem @ sk6)
% 0.57/1.14 | ~ (duplicatefreeP @ X0)
% 0.57/1.14 | ~ (ssList @ X0))),
% 0.57/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl178])).
% 0.57/1.14 thf(clause8, axiom, (ssList @ nil)).
% 0.57/1.14 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.57/1.14 inference('cnf', [status(esa)], [clause8])).
% 0.57/1.14 thf(co1_10, conjecture, (~( ( ( nil ) = ( sk4 ) ) | ( ssItem @ sk6 ) ))).
% 0.57/1.14 thf(zf_stmt_7, negated_conjecture,
% 0.57/1.14 (( ( nil ) = ( sk4 ) ) | ( ssItem @ sk6 )),
% 0.57/1.14 inference('cnf.neg', [status(esa)], [co1_10])).
% 0.57/1.14 thf(zip_derived_cl194, plain, ((((nil) = (sk4)) | (ssItem @ sk6))),
% 0.57/1.14 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.57/1.14 thf(zip_derived_cl204, plain, (( (ssItem @ sk6)) <= (( (ssItem @ sk6)))),
% 0.57/1.14 inference('split', [status(esa)], [zip_derived_cl194])).
% 0.57/1.14 thf('3', plain, (( (ssItem @ sk6)) | (((nil) = (sk3)))),
% 0.57/1.14 inference('split', [status(esa)], [zip_derived_cl195])).
% 0.57/1.14 thf('4', plain, (( (ssItem @ sk6))),
% 0.57/1.14 inference('sat_resolution*', [status(thm)], ['0', '3'])).
% 0.57/1.14 thf(zip_derived_cl268, plain, ( (ssItem @ sk6)),
% 0.57/1.14 inference('simpl_trail', [status(thm)], [zip_derived_cl204, '4'])).
% 0.57/1.14 thf(zip_derived_cl308, plain,
% 0.57/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.14 (((app @ (app @ X2 @ (cons @ sk6 @ X1)) @ sk1) != (X0))
% 0.57/1.14 | ~ (ssList @ X1)
% 0.57/1.14 | ~ (ssList @ X2)
% 0.57/1.14 | ~ (duplicatefreeP @ X0)
% 0.57/1.14 | ~ (ssList @ X0))),
% 0.57/1.14 inference('demod', [status(thm)],
% 0.57/1.14 [zip_derived_cl305, zip_derived_cl7, zip_derived_cl268])).
% 0.57/1.14 thf(zip_derived_cl323, plain,
% 0.57/1.14 (![X0 : $i, X1 : $i]:
% 0.57/1.14 (((app @ (app @ X1 @ sk1) @ sk1) != (X0))
% 0.57/1.14 | ~ (ssList @ nil)
% 0.57/1.14 | ~ (ssList @ X1)
% 0.57/1.14 | ~ (duplicatefreeP @ X0)
% 0.57/1.14 | ~ (ssList @ X0))),
% 0.57/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl308])).
% 0.57/1.14 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.57/1.14 inference('cnf', [status(esa)], [clause8])).
% 0.57/1.14 thf(zip_derived_cl326, plain,
% 0.57/1.14 (![X0 : $i, X1 : $i]:
% 0.57/1.14 (((app @ (app @ X1 @ sk1) @ sk1) != (X0))
% 0.57/1.14 | ~ (ssList @ X1)
% 0.57/1.14 | ~ (duplicatefreeP @ X0)
% 0.57/1.14 | ~ (ssList @ X0))),
% 0.57/1.14 inference('demod', [status(thm)], [zip_derived_cl323, zip_derived_cl7])).
% 0.57/1.14 thf(zip_derived_cl335, plain,
% 0.57/1.14 (![X0 : $i]:
% 0.57/1.14 (~ (ssList @ sk1)
% 0.57/1.14 | ((app @ sk1 @ sk1) != (X0))
% 0.57/1.14 | ~ (ssList @ nil)
% 0.57/1.14 | ~ (duplicatefreeP @ X0)
% 0.57/1.14 | ~ (ssList @ X0))),
% 0.57/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl326])).
% 0.57/1.14 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 0.57/1.14 thf(zf_stmt_8, negated_conjecture, (ssList @ sk1),
% 0.57/1.14 inference('cnf.neg', [status(esa)], [co1_1])).
% 0.57/1.14 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.57/1.14 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.57/1.14 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.57/1.14 inference('cnf', [status(esa)], [clause8])).
% 0.57/1.14 thf(zip_derived_cl337, plain,
% 0.57/1.14 (![X0 : $i]:
% 0.57/1.14 (((app @ sk1 @ sk1) != (X0))
% 0.57/1.14 | ~ (duplicatefreeP @ X0)
% 0.57/1.14 | ~ (ssList @ X0))),
% 0.57/1.14 inference('demod', [status(thm)],
% 0.57/1.14 [zip_derived_cl335, zip_derived_cl185, zip_derived_cl7])).
% 0.57/1.14 thf(zip_derived_cl342, plain,
% 0.57/1.14 ((![X0 : $i]:
% 0.57/1.14 (~ (ssList @ X0) | ((app @ sk1 @ sk1) != (X0)) | ~ (ssList @ X0)))
% 0.57/1.14 <= ((![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0))))),
% 0.57/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl203, zip_derived_cl337])).
% 0.57/1.14 thf(zip_derived_cl346, plain,
% 0.57/1.14 ((![X0 : $i]: (((app @ sk1 @ sk1) != (X0)) | ~ (ssList @ X0)))
% 0.57/1.14 <= ((![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0))))),
% 0.57/1.14 inference('simplify', [status(thm)], [zip_derived_cl342])).
% 0.57/1.14 thf(zip_derived_cl352, plain,
% 0.57/1.14 ((~ (ssList @ (app @ sk1 @ sk1)))
% 0.57/1.14 <= ((![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0))))),
% 0.57/1.14 inference('eq_res', [status(thm)], [zip_derived_cl346])).
% 0.57/1.14 thf(clause85, axiom,
% 0.57/1.14 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 0.57/1.14 thf(zip_derived_cl84, plain,
% 0.57/1.14 (![X0 : $i, X1 : $i]:
% 0.57/1.14 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 0.57/1.14 inference('cnf', [status(esa)], [clause85])).
% 0.57/1.14 thf(zip_derived_cl375, plain,
% 0.57/1.14 (((~ (ssList @ sk1) | ~ (ssList @ sk1)))
% 0.57/1.14 <= ((![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0))))),
% 0.57/1.14 inference('s_sup+', [status(thm)], [zip_derived_cl352, zip_derived_cl84])).
% 0.57/1.14 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.57/1.14 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.57/1.14 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.57/1.14 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.57/1.14 thf('5', plain, (~ (![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0)))),
% 0.57/1.14 inference('demod', [status(thm)],
% 0.57/1.14 [zip_derived_cl375, zip_derived_cl185, zip_derived_cl185])).
% 0.57/1.14 thf('6', plain,
% 0.57/1.14 ((![X1 : $i]: (ssItem @ X1)) |
% 0.57/1.14 (![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0)))),
% 0.57/1.14 inference('split', [status(esa)], [zip_derived_cl71])).
% 0.57/1.14 thf('7', plain, ((![X1 : $i]: (ssItem @ X1))),
% 0.57/1.14 inference('sat_resolution*', [status(thm)], ['5', '6'])).
% 0.57/1.14 thf(zip_derived_cl384, plain, (![X1 : $i]: (ssItem @ X1)),
% 0.57/1.14 inference('simpl_trail', [status(thm)], [zip_derived_cl202, '7'])).
% 0.57/1.14 thf(zip_derived_cl411, plain, (![X0 : $i]: ((X0) != (sk5 @ X0))),
% 0.57/1.14 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl384])).
% 0.57/1.14 thf(zip_derived_cl269, plain, (((cons @ sk6 @ nil) = (sk1))),
% 0.57/1.14 inference('simpl_trail', [status(thm)], [zip_derived_cl222, '2'])).
% 0.57/1.14 thf(clause161, axiom,
% 0.57/1.14 (( ~( memberP @ ( cons @ U @ V ) @ W ) ) | ( ~( ssList @ V ) ) |
% 0.57/1.14 ( ~( ssItem @ U ) ) | ( ~( ssItem @ W ) ) | ( memberP @ V @ W ) |
% 0.57/1.14 ( ( W ) = ( U ) ))).
% 0.57/1.14 thf(zip_derived_cl160, plain,
% 0.57/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.14 (~ (memberP @ (cons @ X0 @ X1) @ X2)
% 0.57/1.14 | ~ (ssList @ X1)
% 0.57/1.14 | ~ (ssItem @ X0)
% 0.57/1.14 | ~ (ssItem @ X2)
% 0.57/1.14 | (memberP @ X1 @ X2)
% 0.57/1.14 | ((X2) = (X0)))),
% 0.57/1.14 inference('cnf', [status(esa)], [clause161])).
% 0.57/1.14 thf(zip_derived_cl384, plain, (![X1 : $i]: (ssItem @ X1)),
% 0.57/1.14 inference('simpl_trail', [status(thm)], [zip_derived_cl202, '7'])).
% 0.57/1.14 thf(zip_derived_cl384, plain, (![X1 : $i]: (ssItem @ X1)),
% 0.57/1.14 inference('simpl_trail', [status(thm)], [zip_derived_cl202, '7'])).
% 0.57/1.14 thf(zip_derived_cl2669, plain,
% 0.57/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.14 (~ (memberP @ (cons @ X0 @ X1) @ X2)
% 0.57/1.14 | ~ (ssList @ X1)
% 0.57/1.14 | (memberP @ X1 @ X2)
% 0.57/1.14 | ((X2) = (X0)))),
% 0.57/1.14 inference('demod', [status(thm)],
% 0.57/1.14 [zip_derived_cl160, zip_derived_cl384, zip_derived_cl384])).
% 0.57/1.14 thf(zip_derived_cl2679, plain,
% 0.57/1.14 (![X0 : $i]:
% 0.57/1.14 (~ (memberP @ sk1 @ X0)
% 0.57/1.14 | ~ (ssList @ nil)
% 0.57/1.14 | (memberP @ nil @ X0)
% 0.57/1.14 | ((X0) = (sk6)))),
% 0.57/1.14 inference('s_sup-', [status(thm)],
% 0.57/1.14 [zip_derived_cl269, zip_derived_cl2669])).
% 0.57/1.14 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.57/1.14 inference('cnf', [status(esa)], [clause8])).
% 0.57/1.14 thf(zip_derived_cl70, plain,
% 0.57/1.14 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 0.57/1.14 inference('cnf', [status(esa)], [clause71])).
% 0.57/1.14 thf(zip_derived_cl384, plain, (![X1 : $i]: (ssItem @ X1)),
% 0.57/1.14 inference('simpl_trail', [status(thm)], [zip_derived_cl202, '7'])).
% 0.57/1.14 thf(zip_derived_cl398, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 0.57/1.14 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl384])).
% 0.57/1.14 thf(zip_derived_cl2686, plain,
% 0.57/1.14 (![X0 : $i]: (~ (memberP @ sk1 @ X0) | ((X0) = (sk6)))),
% 0.57/1.14 inference('demod', [status(thm)],
% 0.57/1.14 [zip_derived_cl2679, zip_derived_cl7, zip_derived_cl398])).
% 0.57/1.14 thf(zip_derived_cl192, plain,
% 0.57/1.14 (![X0 : $i]: ( (memberP @ sk1 @ (sk5 @ X0)) | ~ (ssItem @ X0))),
% 0.57/1.14 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.14 thf(zip_derived_cl384, plain, (![X1 : $i]: (ssItem @ X1)),
% 0.57/1.14 inference('simpl_trail', [status(thm)], [zip_derived_cl202, '7'])).
% 0.57/1.14 thf(zip_derived_cl410, plain, (![X0 : $i]: (memberP @ sk1 @ (sk5 @ X0))),
% 0.57/1.14 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl384])).
% 0.57/1.14 thf(zip_derived_cl2690, plain, (![X0 : $i]: ((sk5 @ X0) = (sk6))),
% 0.57/1.14 inference('s_sup+', [status(thm)],
% 0.57/1.14 [zip_derived_cl2686, zip_derived_cl410])).
% 0.57/1.14 thf(zip_derived_cl2694, plain, (![X0 : $i]: ((X0) != (sk6))),
% 0.57/1.14 inference('demod', [status(thm)], [zip_derived_cl411, zip_derived_cl2690])).
% 0.57/1.14 thf(zip_derived_cl2695, plain, ($false),
% 0.57/1.14 inference('eq_res', [status(thm)], [zip_derived_cl2694])).
% 0.57/1.14
% 0.57/1.14 % SZS output end Refutation
% 0.57/1.14
% 0.57/1.14
% 0.57/1.14 % Terminating...
% 2.17/1.17 % Runner terminated.
% 2.20/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------