TSTP Solution File: SWC164-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC164-1 : 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.e9Eflz3VjH true
% Computer : n009.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 21:29:36 EDT 2023
% Result : Unsatisfiable 9.98s 2.03s
% Output : Refutation 9.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC164-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e9Eflz3VjH true
% 0.13/0.34 % Computer : n009.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 15:50:50 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
% 0.13/0.35 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.98/2.03 % Solved by fo/fo6_bce.sh.
% 9.98/2.03 % BCE start: 205
% 9.98/2.03 % BCE eliminated: 2
% 9.98/2.03 % PE start: 203
% 9.98/2.03 logic: eq
% 9.98/2.03 % PE eliminated: 7
% 9.98/2.03 % done 738 iterations in 1.318s
% 9.98/2.03 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.98/2.03 % SZS output start Refutation
% 9.98/2.03 thf(nil_type, type, nil: $i).
% 9.98/2.03 thf(cons_type, type, cons: $i > $i > $i).
% 9.98/2.03 thf(sk9_type, type, sk9: $i).
% 9.98/2.03 thf(sk8_type, type, sk8: $i).
% 9.98/2.03 thf(sk6_type, type, sk6: $i).
% 9.98/2.03 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 9.98/2.03 thf(ssItem_type, type, ssItem: $i > $o).
% 9.98/2.03 thf(sk5_type, type, sk5: $i).
% 9.98/2.03 thf(sk3_type, type, sk3: $i).
% 9.98/2.03 thf(neq_type, type, neq: $i > $i > $o).
% 9.98/2.03 thf(app_type, type, app: $i > $i > $i).
% 9.98/2.03 thf(ssList_type, type, ssList: $i > $o).
% 9.98/2.03 thf(sk7_type, type, sk7: $i).
% 9.98/2.03 thf(sk1_type, type, sk1: $i).
% 9.98/2.03 thf(co1_18, conjecture,
% 9.98/2.03 (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk9 @ nil ) = ( sk3 ) ) ))).
% 9.98/2.03 thf(zf_stmt_0, negated_conjecture,
% 9.98/2.03 (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk9 @ nil ) = ( sk3 ) )),
% 9.98/2.03 inference('cnf.neg', [status(esa)], [co1_18])).
% 9.98/2.03 thf(zip_derived_cl202, plain,
% 9.98/2.03 ((((nil) = (sk3)) | ((cons @ sk9 @ nil) = (sk3)))),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.98/2.03 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 9.98/2.03 thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 9.98/2.03 inference('cnf.neg', [status(esa)], [co1_6])).
% 9.98/2.03 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.98/2.03 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.98/2.03 thf(zip_derived_cl1395, plain,
% 9.98/2.03 ((((nil) = (sk1)) | ((cons @ sk9 @ nil) = (sk1)))),
% 9.98/2.03 inference('demod', [status(thm)],
% 9.98/2.03 [zip_derived_cl202, zip_derived_cl190, zip_derived_cl190])).
% 9.98/2.03 thf(clause120, axiom,
% 9.98/2.03 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 9.98/2.03 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 9.98/2.03 thf(zip_derived_cl119, plain,
% 9.98/2.03 (![X0 : $i, X1 : $i]:
% 9.98/2.03 (~ (ssItem @ X0)
% 9.98/2.03 | ~ (ssList @ X1)
% 9.98/2.03 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 9.98/2.03 inference('cnf', [status(esa)], [clause120])).
% 9.98/2.03 thf(clause86, axiom,
% 9.98/2.03 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 9.98/2.03 thf(zip_derived_cl85, plain,
% 9.98/2.03 (![X0 : $i, X1 : $i]:
% 9.98/2.03 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 9.98/2.03 inference('cnf', [status(esa)], [clause86])).
% 9.98/2.03 thf(clause85, axiom,
% 9.98/2.03 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 9.98/2.03 thf(zip_derived_cl84, plain,
% 9.98/2.03 (![X0 : $i, X1 : $i]:
% 9.98/2.03 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 9.98/2.03 inference('cnf', [status(esa)], [clause85])).
% 9.98/2.03 thf(zip_derived_cl85, plain,
% 9.98/2.03 (![X0 : $i, X1 : $i]:
% 9.98/2.03 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 9.98/2.03 inference('cnf', [status(esa)], [clause86])).
% 9.98/2.03 thf(co1_11, conjecture,
% 9.98/2.03 (( app @
% 9.98/2.03 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ ( cons @ sk6 @ nil ) ) @
% 9.98/2.03 sk8 ) !=
% 9.98/2.03 ( sk1 ))).
% 9.98/2.03 thf(zf_stmt_2, negated_conjecture,
% 9.98/2.03 (( app @
% 9.98/2.03 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ ( cons @ sk6 @ nil ) ) @
% 9.98/2.03 sk8 ) =
% 9.98/2.03 ( sk1 )),
% 9.98/2.03 inference('cnf.neg', [status(esa)], [co1_11])).
% 9.98/2.03 thf(zip_derived_cl195, plain,
% 9.98/2.03 (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)) @
% 9.98/2.03 sk8) = (sk1))),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.98/2.03 thf(clause102, axiom,
% 9.98/2.03 (( ~( ssItem @ U ) ) | ( ~( ssItem @ V ) ) | ( neq @ V @ U ) |
% 9.98/2.03 ( ( V ) = ( U ) ))).
% 9.98/2.03 thf(zip_derived_cl101, plain,
% 9.98/2.03 (![X0 : $i, X1 : $i]:
% 9.98/2.03 (~ (ssItem @ X0) | ~ (ssItem @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 9.98/2.03 inference('cnf', [status(esa)], [clause102])).
% 9.98/2.03 thf(co1_12, conjecture, (neq @ sk5 @ sk6)).
% 9.98/2.03 thf(zf_stmt_3, negated_conjecture, (~( neq @ sk5 @ sk6 )),
% 9.98/2.03 inference('cnf.neg', [status(esa)], [co1_12])).
% 9.98/2.03 thf(zip_derived_cl196, plain, (~ (neq @ sk5 @ sk6)),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.98/2.03 thf(zip_derived_cl1370, plain,
% 9.98/2.03 ((((sk5) = (sk6)) | ~ (ssItem @ sk5) | ~ (ssItem @ sk6))),
% 9.98/2.03 inference('dp-resolution', [status(thm)],
% 9.98/2.03 [zip_derived_cl101, zip_derived_cl196])).
% 9.98/2.03 thf(co1_7, conjecture, (~( ssItem @ sk5 ))).
% 9.98/2.03 thf(zf_stmt_4, negated_conjecture, (ssItem @ sk5),
% 9.98/2.03 inference('cnf.neg', [status(esa)], [co1_7])).
% 9.98/2.03 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.98/2.03 thf(co1_8, conjecture, (~( ssItem @ sk6 ))).
% 9.98/2.03 thf(zf_stmt_5, negated_conjecture, (ssItem @ sk6),
% 9.98/2.03 inference('cnf.neg', [status(esa)], [co1_8])).
% 9.98/2.03 thf(zip_derived_cl192, plain, ( (ssItem @ sk6)),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_5])).
% 9.98/2.03 thf(zip_derived_cl1407, plain, (((sk5) = (sk6))),
% 9.98/2.03 inference('demod', [status(thm)],
% 9.98/2.03 [zip_derived_cl1370, zip_derived_cl191, zip_derived_cl192])).
% 9.98/2.03 thf(zip_derived_cl1411, plain,
% 9.98/2.03 (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk5 @ nil)) @
% 9.98/2.03 sk8) = (sk1))),
% 9.98/2.03 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl1407])).
% 9.98/2.03 thf(clause149, axiom,
% 9.98/2.03 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 9.98/2.03 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 9.98/2.03 thf(zip_derived_cl148, plain,
% 9.98/2.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.98/2.03 (~ (ssList @ X0)
% 9.98/2.03 | ~ (ssList @ X1)
% 9.98/2.03 | ~ (ssList @ X2)
% 9.98/2.03 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 9.98/2.03 inference('cnf', [status(esa)], [clause149])).
% 9.98/2.03 thf(zip_derived_cl2290, plain,
% 9.98/2.03 ((~ (ssList @ sk8)
% 9.98/2.03 | ~ (ssList @ (cons @ sk5 @ nil))
% 9.98/2.03 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 9.98/2.03 | ((sk1)
% 9.98/2.03 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 9.98/2.03 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 9.98/2.03 inference('s_sup+', [status(thm)],
% 9.98/2.03 [zip_derived_cl1411, zip_derived_cl148])).
% 9.98/2.03 thf(co1_10, conjecture, (~( ssList @ sk8 ))).
% 9.98/2.03 thf(zf_stmt_6, negated_conjecture, (ssList @ sk8),
% 9.98/2.03 inference('cnf.neg', [status(esa)], [co1_10])).
% 9.98/2.03 thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_6])).
% 9.98/2.03 thf(zip_derived_cl2301, plain,
% 9.98/2.03 ((~ (ssList @ (cons @ sk5 @ nil))
% 9.98/2.03 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 9.98/2.03 | ((sk1)
% 9.98/2.03 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 9.98/2.03 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 9.98/2.03 inference('demod', [status(thm)], [zip_derived_cl2290, zip_derived_cl194])).
% 9.98/2.03 thf(zip_derived_cl6632, plain,
% 9.98/2.03 ((~ (ssList @ nil)
% 9.98/2.03 | ~ (ssItem @ sk5)
% 9.98/2.03 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 9.98/2.03 | ((sk1)
% 9.98/2.03 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 9.98/2.03 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 9.98/2.03 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2301])).
% 9.98/2.03 thf(clause8, axiom, (ssList @ nil)).
% 9.98/2.03 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.98/2.03 inference('cnf', [status(esa)], [clause8])).
% 9.98/2.03 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.98/2.03 thf(zip_derived_cl6633, plain,
% 9.98/2.03 ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 9.98/2.03 | ((sk1)
% 9.98/2.03 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 9.98/2.03 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 9.98/2.03 inference('demod', [status(thm)],
% 9.98/2.03 [zip_derived_cl6632, zip_derived_cl7, zip_derived_cl191])).
% 9.98/2.03 thf(zip_derived_cl7179, plain,
% 9.98/2.03 ((~ (ssList @ sk7)
% 9.98/2.03 | ~ (ssList @ (cons @ sk5 @ nil))
% 9.98/2.03 | ((sk1)
% 9.98/2.03 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 9.98/2.03 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 9.98/2.03 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl6633])).
% 9.98/2.03 thf(co1_9, conjecture, (~( ssList @ sk7 ))).
% 9.98/2.03 thf(zf_stmt_7, negated_conjecture, (ssList @ sk7),
% 9.98/2.03 inference('cnf.neg', [status(esa)], [co1_9])).
% 9.98/2.03 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_7])).
% 9.98/2.03 thf(zip_derived_cl7181, plain,
% 9.98/2.03 ((~ (ssList @ (cons @ sk5 @ nil))
% 9.98/2.03 | ((sk1)
% 9.98/2.03 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 9.98/2.03 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 9.98/2.03 inference('demod', [status(thm)], [zip_derived_cl7179, zip_derived_cl193])).
% 9.98/2.03 thf(zip_derived_cl7221, plain,
% 9.98/2.03 ((~ (ssList @ nil)
% 9.98/2.03 | ~ (ssItem @ sk5)
% 9.98/2.03 | ((sk1)
% 9.98/2.03 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 9.98/2.03 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 9.98/2.03 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl7181])).
% 9.98/2.03 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.98/2.03 inference('cnf', [status(esa)], [clause8])).
% 9.98/2.03 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.98/2.03 thf(zip_derived_cl7222, plain,
% 9.98/2.03 (((sk1)
% 9.98/2.03 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 9.98/2.03 (app @ (cons @ sk5 @ nil) @ sk8)))),
% 9.98/2.03 inference('demod', [status(thm)],
% 9.98/2.03 [zip_derived_cl7221, zip_derived_cl7, zip_derived_cl191])).
% 9.98/2.03 thf(zip_derived_cl7253, plain,
% 9.98/2.03 ((~ (ssList @ sk8)
% 9.98/2.03 | ~ (ssItem @ sk5)
% 9.98/2.03 | ((sk1)
% 9.98/2.03 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk5 @ sk8))))),
% 9.98/2.03 inference('s_sup+', [status(thm)],
% 9.98/2.03 [zip_derived_cl119, zip_derived_cl7222])).
% 9.98/2.03 thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_6])).
% 9.98/2.03 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.98/2.03 thf(zip_derived_cl7257, plain,
% 9.98/2.03 (((sk1) = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk5 @ sk8)))),
% 9.98/2.03 inference('demod', [status(thm)],
% 9.98/2.03 [zip_derived_cl7253, zip_derived_cl194, zip_derived_cl191])).
% 9.98/2.03 thf(zip_derived_cl85, plain,
% 9.98/2.03 (![X0 : $i, X1 : $i]:
% 9.98/2.03 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 9.98/2.03 inference('cnf', [status(esa)], [clause86])).
% 9.98/2.03 thf(clause65, axiom,
% 9.98/2.03 (( ~( ssItem @ U ) ) | ( duplicatefreeP @ ( cons @ U @ nil ) ))).
% 9.98/2.03 thf(zip_derived_cl64, plain,
% 9.98/2.03 (![X0 : $i]: (~ (ssItem @ X0) | (duplicatefreeP @ (cons @ X0 @ nil)))),
% 9.98/2.03 inference('cnf', [status(esa)], [clause65])).
% 9.98/2.03 thf(clause179, axiom,
% 9.98/2.03 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 9.98/2.03 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 9.98/2.03 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 9.98/2.03 thf(zip_derived_cl178, plain,
% 9.98/2.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.98/2.03 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 9.98/2.03 | ~ (ssList @ X4)
% 9.98/2.03 | ~ (ssList @ X3)
% 9.98/2.03 | ~ (ssList @ X1)
% 9.98/2.03 | ~ (ssItem @ X2)
% 9.98/2.03 | ~ (duplicatefreeP @ X0)
% 9.98/2.03 | ~ (ssList @ X0))),
% 9.98/2.03 inference('cnf', [status(esa)], [clause179])).
% 9.98/2.03 thf(zip_derived_cl1372, plain,
% 9.98/2.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.98/2.03 (~ (ssItem @ X0)
% 9.98/2.03 | ~ (ssList @ (cons @ X0 @ nil))
% 9.98/2.03 | ~ (ssItem @ X2)
% 9.98/2.03 | ~ (ssList @ X4)
% 9.98/2.03 | ~ (ssList @ X3)
% 9.98/2.03 | ~ (ssList @ X1)
% 9.98/2.03 | ((app @ (app @ X4 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X1))
% 9.98/2.03 != (cons @ X0 @ nil)))),
% 9.98/2.03 inference('dp-resolution', [status(thm)],
% 9.98/2.03 [zip_derived_cl64, zip_derived_cl178])).
% 9.98/2.03 thf(zip_derived_cl3638, plain,
% 9.98/2.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.98/2.03 (~ (ssList @ nil)
% 9.98/2.03 | ~ (ssItem @ X0)
% 9.98/2.03 | ~ (ssItem @ X0)
% 9.98/2.03 | ~ (ssItem @ X1)
% 9.98/2.03 | ~ (ssList @ X2)
% 9.98/2.03 | ~ (ssList @ X3)
% 9.98/2.03 | ~ (ssList @ X4)
% 9.98/2.03 | ((app @ (app @ X2 @ (cons @ X1 @ X3)) @ (cons @ X1 @ X4))
% 9.98/2.03 != (cons @ X0 @ nil)))),
% 9.98/2.03 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1372])).
% 9.98/2.03 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.98/2.03 inference('cnf', [status(esa)], [clause8])).
% 9.98/2.03 thf(zip_derived_cl3644, plain,
% 9.98/2.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.98/2.03 (~ (ssItem @ X0)
% 9.98/2.03 | ~ (ssItem @ X0)
% 9.98/2.03 | ~ (ssItem @ X1)
% 9.98/2.03 | ~ (ssList @ X2)
% 9.98/2.03 | ~ (ssList @ X3)
% 9.98/2.03 | ~ (ssList @ X4)
% 9.98/2.03 | ((app @ (app @ X2 @ (cons @ X1 @ X3)) @ (cons @ X1 @ X4))
% 9.98/2.03 != (cons @ X0 @ nil)))),
% 9.98/2.03 inference('demod', [status(thm)], [zip_derived_cl3638, zip_derived_cl7])).
% 9.98/2.03 thf(zip_derived_cl3645, plain,
% 9.98/2.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.98/2.03 (((app @ (app @ X2 @ (cons @ X1 @ X3)) @ (cons @ X1 @ X4))
% 9.98/2.03 != (cons @ X0 @ nil))
% 9.98/2.03 | ~ (ssList @ X4)
% 9.98/2.03 | ~ (ssList @ X3)
% 9.98/2.03 | ~ (ssList @ X2)
% 9.98/2.03 | ~ (ssItem @ X1)
% 9.98/2.03 | ~ (ssItem @ X0))),
% 9.98/2.03 inference('simplify', [status(thm)], [zip_derived_cl3644])).
% 9.98/2.03 thf(zip_derived_cl7323, plain,
% 9.98/2.03 (![X0 : $i]:
% 9.98/2.03 (((sk1) != (cons @ X0 @ nil))
% 9.98/2.03 | ~ (ssList @ sk8)
% 9.98/2.03 | ~ (ssList @ nil)
% 9.98/2.03 | ~ (ssList @ sk7)
% 9.98/2.03 | ~ (ssItem @ sk5)
% 9.98/2.03 | ~ (ssItem @ X0))),
% 9.98/2.03 inference('s_sup-', [status(thm)],
% 9.98/2.03 [zip_derived_cl7257, zip_derived_cl3645])).
% 9.98/2.03 thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_6])).
% 9.98/2.03 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.98/2.03 inference('cnf', [status(esa)], [clause8])).
% 9.98/2.03 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_7])).
% 9.98/2.03 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.98/2.03 thf(zip_derived_cl7370, plain,
% 9.98/2.03 (![X0 : $i]: (((sk1) != (cons @ X0 @ nil)) | ~ (ssItem @ X0))),
% 9.98/2.03 inference('demod', [status(thm)],
% 9.98/2.03 [zip_derived_cl7323, zip_derived_cl194, zip_derived_cl7,
% 9.98/2.03 zip_derived_cl193, zip_derived_cl191])).
% 9.98/2.03 thf(zip_derived_cl7383, plain,
% 9.98/2.03 ((((nil) = (sk1)) | ((sk1) != (sk1)) | ~ (ssItem @ sk9))),
% 9.98/2.03 inference('s_sup-', [status(thm)],
% 9.98/2.03 [zip_derived_cl1395, zip_derived_cl7370])).
% 9.98/2.03 thf(zip_derived_cl7387, plain, ((~ (ssItem @ sk9) | ((nil) = (sk1)))),
% 9.98/2.03 inference('simplify', [status(thm)], [zip_derived_cl7383])).
% 9.98/2.03 thf(zip_derived_cl7257, plain,
% 9.98/2.03 (((sk1) = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk5 @ sk8)))),
% 9.98/2.03 inference('demod', [status(thm)],
% 9.98/2.03 [zip_derived_cl7253, zip_derived_cl194, zip_derived_cl191])).
% 9.98/2.03 thf(clause2, axiom, (duplicatefreeP @ nil)).
% 9.98/2.03 thf(zip_derived_cl1, plain, ( (duplicatefreeP @ nil)),
% 9.98/2.03 inference('cnf', [status(esa)], [clause2])).
% 9.98/2.03 thf(zip_derived_cl178, plain,
% 9.98/2.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.98/2.03 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 9.98/2.03 | ~ (ssList @ X4)
% 9.98/2.03 | ~ (ssList @ X3)
% 9.98/2.03 | ~ (ssList @ X1)
% 9.98/2.03 | ~ (ssItem @ X2)
% 9.98/2.03 | ~ (duplicatefreeP @ X0)
% 9.98/2.03 | ~ (ssList @ X0))),
% 9.98/2.03 inference('cnf', [status(esa)], [clause179])).
% 9.98/2.03 thf(zip_derived_cl1371, plain,
% 9.98/2.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.98/2.03 (~ (ssList @ nil)
% 9.98/2.03 | ~ (ssItem @ X1)
% 9.98/2.03 | ~ (ssList @ X3)
% 9.98/2.03 | ~ (ssList @ X2)
% 9.98/2.03 | ~ (ssList @ X0)
% 9.98/2.03 | ((app @ (app @ X3 @ (cons @ X1 @ X2)) @ (cons @ X1 @ X0)) != (nil)))),
% 9.98/2.03 inference('dp-resolution', [status(thm)],
% 9.98/2.03 [zip_derived_cl1, zip_derived_cl178])).
% 9.98/2.03 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.98/2.03 inference('cnf', [status(esa)], [clause8])).
% 9.98/2.03 thf(zip_derived_cl3549, plain,
% 9.98/2.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.98/2.03 (~ (ssItem @ X1)
% 9.98/2.03 | ~ (ssList @ X3)
% 9.98/2.03 | ~ (ssList @ X2)
% 9.98/2.03 | ~ (ssList @ X0)
% 9.98/2.03 | ((app @ (app @ X3 @ (cons @ X1 @ X2)) @ (cons @ X1 @ X0)) != (nil)))),
% 9.98/2.03 inference('demod', [status(thm)], [zip_derived_cl1371, zip_derived_cl7])).
% 9.98/2.03 thf(zip_derived_cl7317, plain,
% 9.98/2.03 ((~ (ssItem @ sk5)
% 9.98/2.03 | ~ (ssList @ sk7)
% 9.98/2.03 | ~ (ssList @ nil)
% 9.98/2.03 | ~ (ssList @ sk8)
% 9.98/2.03 | ((sk1) != (nil)))),
% 9.98/2.03 inference('s_sup-', [status(thm)],
% 9.98/2.03 [zip_derived_cl7257, zip_derived_cl3549])).
% 9.98/2.03 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.98/2.03 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_7])).
% 9.98/2.03 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.98/2.03 inference('cnf', [status(esa)], [clause8])).
% 9.98/2.03 thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_6])).
% 9.98/2.03 thf(zip_derived_cl7361, plain, (((sk1) != (nil))),
% 9.98/2.03 inference('demod', [status(thm)],
% 9.98/2.03 [zip_derived_cl7317, zip_derived_cl191, zip_derived_cl193,
% 9.98/2.03 zip_derived_cl7, zip_derived_cl194])).
% 9.98/2.03 thf(zip_derived_cl7388, plain, (~ (ssItem @ sk9)),
% 9.98/2.03 inference('simplify_reflect-', [status(thm)],
% 9.98/2.03 [zip_derived_cl7387, zip_derived_cl7361])).
% 9.98/2.03 thf(co1_14, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk9 ) ))).
% 9.98/2.03 thf(zf_stmt_8, negated_conjecture,
% 9.98/2.03 (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk9 )),
% 9.98/2.03 inference('cnf.neg', [status(esa)], [co1_14])).
% 9.98/2.03 thf(zip_derived_cl198, plain, ((((nil) = (sk3)) | (ssItem @ sk9))),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_8])).
% 9.98/2.03 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 9.98/2.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.98/2.03 thf(zip_derived_cl1399, plain, ((((nil) = (sk1)) | (ssItem @ sk9))),
% 9.98/2.03 inference('demod', [status(thm)], [zip_derived_cl198, zip_derived_cl190])).
% 9.98/2.03 thf(zip_derived_cl7361, plain, (((sk1) != (nil))),
% 9.98/2.03 inference('demod', [status(thm)],
% 9.98/2.03 [zip_derived_cl7317, zip_derived_cl191, zip_derived_cl193,
% 9.98/2.03 zip_derived_cl7, zip_derived_cl194])).
% 9.98/2.03 thf(zip_derived_cl7401, plain, ( (ssItem @ sk9)),
% 9.98/2.03 inference('simplify_reflect-', [status(thm)],
% 9.98/2.03 [zip_derived_cl1399, zip_derived_cl7361])).
% 9.98/2.03 thf(zip_derived_cl7419, plain, ($false),
% 9.98/2.03 inference('demod', [status(thm)],
% 9.98/2.03 [zip_derived_cl7388, zip_derived_cl7401])).
% 9.98/2.03
% 9.98/2.03 % SZS output end Refutation
% 9.98/2.03
% 9.98/2.03
% 9.98/2.03 % Terminating...
% 10.85/2.15 % Runner terminated.
% 10.85/2.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------