TSTP Solution File: SWC187-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC187-1 : 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.JMdSawh1y5 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 21:29:44 EDT 2023
% Result : Unsatisfiable 6.32s 1.50s
% Output : Refutation 6.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC187-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JMdSawh1y5 true
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 18:41:05 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.51/0.61 % Total configuration time : 435
% 0.51/0.61 % Estimated wc time : 1092
% 0.51/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.32/1.50 % Solved by fo/fo6_bce.sh.
% 6.32/1.50 % BCE start: 202
% 6.32/1.50 % BCE eliminated: 4
% 6.32/1.50 % PE start: 198
% 6.32/1.50 logic: eq
% 6.32/1.50 % PE eliminated: 6
% 6.32/1.50 % done 486 iterations in 0.804s
% 6.32/1.50 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.32/1.50 % SZS output start Refutation
% 6.32/1.50 thf(nil_type, type, nil: $i).
% 6.32/1.50 thf(cons_type, type, cons: $i > $i > $i).
% 6.32/1.50 thf(sk8_type, type, sk8: $i).
% 6.32/1.50 thf(sk6_type, type, sk6: $i).
% 6.32/1.50 thf(tl_type, type, tl: $i > $i).
% 6.32/1.50 thf(memberP_type, type, memberP: $i > $i > $o).
% 6.32/1.50 thf(ssItem_type, type, ssItem: $i > $o).
% 6.32/1.50 thf(sk5_type, type, sk5: $i).
% 6.32/1.50 thf(sk3_type, type, sk3: $i).
% 6.32/1.50 thf(app_type, type, app: $i > $i > $i).
% 6.32/1.50 thf(ssList_type, type, ssList: $i > $o).
% 6.32/1.50 thf(sk7_type, type, sk7: $i).
% 6.32/1.50 thf(sk1_type, type, sk1: $i).
% 6.32/1.50 thf(co1_11, conjecture,
% 6.32/1.50 (~( ( memberP @ sk7 @ sk5 ) | ( memberP @ sk6 @ sk5 ) ))).
% 6.32/1.50 thf(zf_stmt_0, negated_conjecture,
% 6.32/1.50 (( memberP @ sk7 @ sk5 ) | ( memberP @ sk6 @ sk5 )),
% 6.32/1.50 inference('cnf.neg', [status(esa)], [co1_11])).
% 6.32/1.50 thf(zip_derived_cl195, plain,
% 6.32/1.50 (( (memberP @ sk7 @ sk5) | (memberP @ sk6 @ sk5))),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.32/1.50 thf(clause86, axiom,
% 6.32/1.50 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 6.32/1.50 thf(zip_derived_cl85, plain,
% 6.32/1.50 (![X0 : $i, X1 : $i]:
% 6.32/1.50 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause86])).
% 6.32/1.50 thf(clause75, axiom,
% 6.32/1.50 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 6.32/1.50 thf(zip_derived_cl74, plain,
% 6.32/1.50 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause75])).
% 6.32/1.50 thf(co1_16, conjecture,
% 6.32/1.50 (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk8 @ nil ) = ( sk3 ) ) ))).
% 6.32/1.50 thf(zf_stmt_1, negated_conjecture,
% 6.32/1.50 (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk8 @ nil ) = ( sk3 ) )),
% 6.32/1.50 inference('cnf.neg', [status(esa)], [co1_16])).
% 6.32/1.50 thf(zip_derived_cl200, plain,
% 6.32/1.50 ((((nil) = (sk3)) | ((cons @ sk8 @ nil) = (sk3)))),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.32/1.50 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 6.32/1.50 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 6.32/1.50 inference('cnf.neg', [status(esa)], [co1_6])).
% 6.32/1.50 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.32/1.50 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.32/1.50 thf(zip_derived_cl1362, plain,
% 6.32/1.50 ((((nil) = (sk1)) | ((cons @ sk8 @ nil) = (sk1)))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl200, zip_derived_cl190, zip_derived_cl190])).
% 6.32/1.50 thf(clause96, axiom,
% 6.32/1.50 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 6.32/1.50 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 6.32/1.50 thf(zip_derived_cl95, plain,
% 6.32/1.50 (![X0 : $i, X1 : $i]:
% 6.32/1.50 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause96])).
% 6.32/1.50 thf(zip_derived_cl1496, plain,
% 6.32/1.50 ((((nil) = (sk1))
% 6.32/1.50 | ~ (ssItem @ sk8)
% 6.32/1.50 | ~ (ssList @ nil)
% 6.32/1.50 | ((tl @ sk1) = (nil)))),
% 6.32/1.50 inference('s_sup+', [status(thm)], [zip_derived_cl1362, zip_derived_cl95])).
% 6.32/1.50 thf(clause8, axiom, (ssList @ nil)).
% 6.32/1.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 6.32/1.50 inference('cnf', [status(esa)], [clause8])).
% 6.32/1.50 thf(zip_derived_cl1498, plain,
% 6.32/1.50 ((((nil) = (sk1)) | ~ (ssItem @ sk8) | ((tl @ sk1) = (nil)))),
% 6.32/1.50 inference('demod', [status(thm)], [zip_derived_cl1496, zip_derived_cl7])).
% 6.32/1.50 thf(co1_13, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk8 ) ))).
% 6.32/1.50 thf(zf_stmt_3, negated_conjecture,
% 6.32/1.50 (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk8 )),
% 6.32/1.50 inference('cnf.neg', [status(esa)], [co1_13])).
% 6.32/1.50 thf(zip_derived_cl197, plain, ((((nil) = (sk3)) | (ssItem @ sk8))),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.32/1.50 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.32/1.50 thf(zip_derived_cl1366, plain, ((((nil) = (sk1)) | (ssItem @ sk8))),
% 6.32/1.50 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl190])).
% 6.32/1.50 thf(zip_derived_cl1523, plain, ((((tl @ sk1) = (nil)) | ((nil) = (sk1)))),
% 6.32/1.50 inference('clc', [status(thm)], [zip_derived_cl1498, zip_derived_cl1366])).
% 6.32/1.50 thf(zip_derived_cl85, plain,
% 6.32/1.50 (![X0 : $i, X1 : $i]:
% 6.32/1.50 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause86])).
% 6.32/1.50 thf(clause120, axiom,
% 6.32/1.50 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 6.32/1.50 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 6.32/1.50 thf(zip_derived_cl119, plain,
% 6.32/1.50 (![X0 : $i, X1 : $i]:
% 6.32/1.50 (~ (ssItem @ X0)
% 6.32/1.50 | ~ (ssList @ X1)
% 6.32/1.50 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause120])).
% 6.32/1.50 thf(zip_derived_cl85, plain,
% 6.32/1.50 (![X0 : $i, X1 : $i]:
% 6.32/1.50 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause86])).
% 6.32/1.50 thf(co1_10, conjecture,
% 6.32/1.50 (( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) != ( sk1 ))).
% 6.32/1.50 thf(zf_stmt_4, negated_conjecture,
% 6.32/1.50 (( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) = ( sk1 )),
% 6.32/1.50 inference('cnf.neg', [status(esa)], [co1_10])).
% 6.32/1.50 thf(zip_derived_cl194, plain,
% 6.32/1.50 (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk1))),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.32/1.50 thf(clause149, axiom,
% 6.32/1.50 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 6.32/1.50 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 6.32/1.50 thf(zip_derived_cl148, plain,
% 6.32/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.32/1.50 (~ (ssList @ X0)
% 6.32/1.50 | ~ (ssList @ X1)
% 6.32/1.50 | ~ (ssList @ X2)
% 6.32/1.50 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause149])).
% 6.32/1.50 thf(zip_derived_cl2156, plain,
% 6.32/1.50 ((~ (ssList @ sk7)
% 6.32/1.50 | ~ (ssList @ (cons @ sk5 @ nil))
% 6.32/1.50 | ~ (ssList @ sk6)
% 6.32/1.50 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 6.32/1.50 inference('s_sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl148])).
% 6.32/1.50 thf(co1_9, conjecture, (~( ssList @ sk7 ))).
% 6.32/1.50 thf(zf_stmt_5, negated_conjecture, (ssList @ sk7),
% 6.32/1.50 inference('cnf.neg', [status(esa)], [co1_9])).
% 6.32/1.50 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.32/1.50 thf(co1_8, conjecture, (~( ssList @ sk6 ))).
% 6.32/1.50 thf(zf_stmt_6, negated_conjecture, (ssList @ sk6),
% 6.32/1.50 inference('cnf.neg', [status(esa)], [co1_8])).
% 6.32/1.50 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_6])).
% 6.32/1.50 thf(zip_derived_cl2166, plain,
% 6.32/1.50 ((~ (ssList @ (cons @ sk5 @ nil))
% 6.32/1.50 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl2156, zip_derived_cl193, zip_derived_cl192])).
% 6.32/1.50 thf(zip_derived_cl2274, plain,
% 6.32/1.50 ((~ (ssList @ nil)
% 6.32/1.50 | ~ (ssItem @ sk5)
% 6.32/1.50 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 6.32/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2166])).
% 6.32/1.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 6.32/1.50 inference('cnf', [status(esa)], [clause8])).
% 6.32/1.50 thf(co1_7, conjecture, (~( ssItem @ sk5 ))).
% 6.32/1.50 thf(zf_stmt_7, negated_conjecture, (ssItem @ sk5),
% 6.32/1.50 inference('cnf.neg', [status(esa)], [co1_7])).
% 6.32/1.50 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.32/1.50 thf(zip_derived_cl2275, plain,
% 6.32/1.50 (((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7)))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl2274, zip_derived_cl7, zip_derived_cl191])).
% 6.32/1.50 thf(zip_derived_cl2294, plain,
% 6.32/1.50 ((~ (ssList @ sk7)
% 6.32/1.50 | ~ (ssItem @ sk5)
% 6.32/1.50 | ((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7))))),
% 6.32/1.50 inference('s_sup+', [status(thm)],
% 6.32/1.50 [zip_derived_cl119, zip_derived_cl2275])).
% 6.32/1.50 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.32/1.50 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.32/1.50 thf(zip_derived_cl2296, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl2294, zip_derived_cl193, zip_derived_cl191])).
% 6.32/1.50 thf(clause133, axiom,
% 6.32/1.50 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 6.32/1.50 ( ( tl @ ( app @ V @ U ) ) = ( app @ ( tl @ V ) @ U ) ))).
% 6.32/1.50 thf(zip_derived_cl132, plain,
% 6.32/1.50 (![X0 : $i, X1 : $i]:
% 6.32/1.50 (~ (ssList @ X0)
% 6.32/1.50 | ~ (ssList @ X1)
% 6.32/1.50 | ((nil) = (X1))
% 6.32/1.50 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause133])).
% 6.32/1.50 thf(zip_derived_cl2316, plain,
% 6.32/1.50 ((~ (ssList @ (cons @ sk5 @ sk7))
% 6.32/1.50 | ~ (ssList @ sk6)
% 6.32/1.50 | ((nil) = (sk6))
% 6.32/1.50 | ((tl @ sk1) = (app @ (tl @ sk6) @ (cons @ sk5 @ sk7))))),
% 6.32/1.50 inference('s_sup+', [status(thm)],
% 6.32/1.50 [zip_derived_cl2296, zip_derived_cl132])).
% 6.32/1.50 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_6])).
% 6.32/1.50 thf(zip_derived_cl2333, plain,
% 6.32/1.50 ((~ (ssList @ (cons @ sk5 @ sk7))
% 6.32/1.50 | ((nil) = (sk6))
% 6.32/1.50 | ((tl @ sk1) = (app @ (tl @ sk6) @ (cons @ sk5 @ sk7))))),
% 6.32/1.50 inference('demod', [status(thm)], [zip_derived_cl2316, zip_derived_cl192])).
% 6.32/1.50 thf(zip_derived_cl2641, plain,
% 6.32/1.50 ((~ (ssList @ sk7)
% 6.32/1.50 | ~ (ssItem @ sk5)
% 6.32/1.50 | ((nil) = (sk6))
% 6.32/1.50 | ((tl @ sk1) = (app @ (tl @ sk6) @ (cons @ sk5 @ sk7))))),
% 6.32/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2333])).
% 6.32/1.50 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.32/1.50 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.32/1.50 thf(zip_derived_cl2642, plain,
% 6.32/1.50 ((((nil) = (sk6))
% 6.32/1.50 | ((tl @ sk1) = (app @ (tl @ sk6) @ (cons @ sk5 @ sk7))))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl2641, zip_derived_cl193, zip_derived_cl191])).
% 6.32/1.50 thf(clause119, axiom,
% 6.32/1.50 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 6.32/1.50 ( ~( ssList @ U ) ) | ( ( nil ) = ( V ) ))).
% 6.32/1.50 thf(zip_derived_cl118, plain,
% 6.32/1.50 (![X0 : $i, X1 : $i]:
% 6.32/1.50 (((app @ X0 @ X1) != (nil))
% 6.32/1.50 | ~ (ssList @ X1)
% 6.32/1.50 | ~ (ssList @ X0)
% 6.32/1.50 | ((nil) = (X1)))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause119])).
% 6.32/1.50 thf(zip_derived_cl3383, plain,
% 6.32/1.50 ((((nil) = (sk6))
% 6.32/1.50 | ((tl @ sk1) != (nil))
% 6.32/1.50 | ~ (ssList @ (cons @ sk5 @ sk7))
% 6.32/1.50 | ~ (ssList @ (tl @ sk6))
% 6.32/1.50 | ((nil) = (cons @ sk5 @ sk7)))),
% 6.32/1.50 inference('s_sup-', [status(thm)],
% 6.32/1.50 [zip_derived_cl2642, zip_derived_cl118])).
% 6.32/1.50 thf(zip_derived_cl3410, plain,
% 6.32/1.50 ((((nil) = (sk1))
% 6.32/1.50 | ((nil) = (sk6))
% 6.32/1.50 | ((nil) != (nil))
% 6.32/1.50 | ~ (ssList @ (cons @ sk5 @ sk7))
% 6.32/1.50 | ~ (ssList @ (tl @ sk6))
% 6.32/1.50 | ((nil) = (cons @ sk5 @ sk7)))),
% 6.32/1.50 inference('s_sup-', [status(thm)],
% 6.32/1.50 [zip_derived_cl1523, zip_derived_cl3383])).
% 6.32/1.50 thf(zip_derived_cl3412, plain,
% 6.32/1.50 ((((nil) = (cons @ sk5 @ sk7))
% 6.32/1.50 | ~ (ssList @ (tl @ sk6))
% 6.32/1.50 | ~ (ssList @ (cons @ sk5 @ sk7))
% 6.32/1.50 | ((nil) = (sk6))
% 6.32/1.50 | ((nil) = (sk1)))),
% 6.32/1.50 inference('simplify', [status(thm)], [zip_derived_cl3410])).
% 6.32/1.50 thf(zip_derived_cl2296, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl2294, zip_derived_cl193, zip_derived_cl191])).
% 6.32/1.50 thf(clause175, axiom,
% 6.32/1.50 (( ( app @ U @ ( cons @ V @ W ) ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 6.32/1.50 ( ~( ssList @ U ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ X ) ) |
% 6.32/1.50 ( memberP @ X @ V ))).
% 6.32/1.50 thf(zip_derived_cl174, plain,
% 6.32/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.32/1.50 (((app @ X1 @ (cons @ X2 @ X3)) != (X0))
% 6.32/1.50 | ~ (ssList @ X3)
% 6.32/1.50 | ~ (ssList @ X1)
% 6.32/1.50 | ~ (ssItem @ X2)
% 6.32/1.50 | ~ (ssList @ X0)
% 6.32/1.50 | (memberP @ X0 @ X2))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause175])).
% 6.32/1.50 thf(zip_derived_cl2875, plain,
% 6.32/1.50 (![X0 : $i]:
% 6.32/1.50 (((sk1) != (X0))
% 6.32/1.50 | ~ (ssList @ sk7)
% 6.32/1.50 | ~ (ssList @ sk6)
% 6.32/1.50 | ~ (ssItem @ sk5)
% 6.32/1.50 | ~ (ssList @ X0)
% 6.32/1.50 | (memberP @ X0 @ sk5))),
% 6.32/1.50 inference('s_sup-', [status(thm)],
% 6.32/1.50 [zip_derived_cl2296, zip_derived_cl174])).
% 6.32/1.50 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.32/1.50 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_6])).
% 6.32/1.50 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.32/1.50 thf(zip_derived_cl2893, plain,
% 6.32/1.50 (![X0 : $i]: (((sk1) != (X0)) | ~ (ssList @ X0) | (memberP @ X0 @ sk5))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl2875, zip_derived_cl193, zip_derived_cl192,
% 6.32/1.50 zip_derived_cl191])).
% 6.32/1.50 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 6.32/1.50 thf(zip_derived_cl70, plain,
% 6.32/1.50 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause71])).
% 6.32/1.50 thf(zip_derived_cl3353, plain,
% 6.32/1.50 ((~ (ssList @ nil) | ((sk1) != (nil)) | ~ (ssItem @ sk5))),
% 6.32/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl2893, zip_derived_cl70])).
% 6.32/1.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 6.32/1.50 inference('cnf', [status(esa)], [clause8])).
% 6.32/1.50 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.32/1.50 thf(zip_derived_cl3358, plain, (((sk1) != (nil))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl3353, zip_derived_cl7, zip_derived_cl191])).
% 6.32/1.50 thf(zip_derived_cl3413, plain,
% 6.32/1.50 ((((nil) = (cons @ sk5 @ sk7))
% 6.32/1.50 | ~ (ssList @ (tl @ sk6))
% 6.32/1.50 | ~ (ssList @ (cons @ sk5 @ sk7))
% 6.32/1.50 | ((nil) = (sk6)))),
% 6.32/1.50 inference('simplify_reflect-', [status(thm)],
% 6.32/1.50 [zip_derived_cl3412, zip_derived_cl3358])).
% 6.32/1.50 thf(zip_derived_cl3414, plain,
% 6.32/1.50 ((((nil) = (sk6))
% 6.32/1.50 | ~ (ssList @ sk6)
% 6.32/1.50 | ((nil) = (cons @ sk5 @ sk7))
% 6.32/1.50 | ~ (ssList @ (cons @ sk5 @ sk7))
% 6.32/1.50 | ((nil) = (sk6)))),
% 6.32/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl3413])).
% 6.32/1.50 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_6])).
% 6.32/1.50 thf(zip_derived_cl3415, plain,
% 6.32/1.50 ((((nil) = (sk6))
% 6.32/1.50 | ((nil) = (cons @ sk5 @ sk7))
% 6.32/1.50 | ~ (ssList @ (cons @ sk5 @ sk7))
% 6.32/1.50 | ((nil) = (sk6)))),
% 6.32/1.50 inference('demod', [status(thm)], [zip_derived_cl3414, zip_derived_cl192])).
% 6.32/1.50 thf(zip_derived_cl3416, plain,
% 6.32/1.50 ((~ (ssList @ (cons @ sk5 @ sk7))
% 6.32/1.50 | ((nil) = (cons @ sk5 @ sk7))
% 6.32/1.50 | ((nil) = (sk6)))),
% 6.32/1.50 inference('simplify', [status(thm)], [zip_derived_cl3415])).
% 6.32/1.50 thf(zip_derived_cl3608, plain,
% 6.32/1.50 ((~ (ssList @ sk7)
% 6.32/1.50 | ~ (ssItem @ sk5)
% 6.32/1.50 | ((nil) = (cons @ sk5 @ sk7))
% 6.32/1.50 | ((nil) = (sk6)))),
% 6.32/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3416])).
% 6.32/1.50 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.32/1.50 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.32/1.50 thf(zip_derived_cl3609, plain,
% 6.32/1.50 ((((nil) = (cons @ sk5 @ sk7)) | ((nil) = (sk6)))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl3608, zip_derived_cl193, zip_derived_cl191])).
% 6.32/1.50 thf(clause98, axiom,
% 6.32/1.50 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 6.32/1.50 ( ~( ssList @ V ) ))).
% 6.32/1.50 thf(zip_derived_cl97, plain,
% 6.32/1.50 (![X0 : $i, X1 : $i]:
% 6.32/1.50 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause98])).
% 6.32/1.50 thf(zip_derived_cl3613, plain,
% 6.32/1.50 ((((nil) = (sk6))
% 6.32/1.50 | ((nil) != (nil))
% 6.32/1.50 | ~ (ssItem @ sk5)
% 6.32/1.50 | ~ (ssList @ sk7))),
% 6.32/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl3609, zip_derived_cl97])).
% 6.32/1.50 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.32/1.50 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.32/1.50 thf(zip_derived_cl3651, plain, ((((nil) = (sk6)) | ((nil) != (nil)))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl3613, zip_derived_cl191, zip_derived_cl193])).
% 6.32/1.50 thf(zip_derived_cl3652, plain, (((nil) = (sk6))),
% 6.32/1.50 inference('simplify', [status(thm)], [zip_derived_cl3651])).
% 6.32/1.50 thf(zip_derived_cl3688, plain,
% 6.32/1.50 (( (memberP @ sk7 @ sk5) | (memberP @ nil @ sk5))),
% 6.32/1.50 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl3652])).
% 6.32/1.50 thf(zip_derived_cl85, plain,
% 6.32/1.50 (![X0 : $i, X1 : $i]:
% 6.32/1.50 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause86])).
% 6.32/1.50 thf(zip_derived_cl2296, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl2294, zip_derived_cl193, zip_derived_cl191])).
% 6.32/1.50 thf(zip_derived_cl3652, plain, (((nil) = (sk6))),
% 6.32/1.50 inference('simplify', [status(thm)], [zip_derived_cl3651])).
% 6.32/1.50 thf(zip_derived_cl3701, plain, (((sk1) = (app @ nil @ (cons @ sk5 @ sk7)))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl2296, zip_derived_cl3652])).
% 6.32/1.50 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 6.32/1.50 thf(zip_derived_cl73, plain,
% 6.32/1.50 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause74])).
% 6.32/1.50 thf(zip_derived_cl3813, plain,
% 6.32/1.50 ((~ (ssList @ (cons @ sk5 @ sk7)) | ((sk1) = (cons @ sk5 @ sk7)))),
% 6.32/1.50 inference('s_sup+', [status(thm)], [zip_derived_cl3701, zip_derived_cl73])).
% 6.32/1.50 thf(zip_derived_cl4465, plain,
% 6.32/1.50 ((~ (ssList @ sk7) | ~ (ssItem @ sk5) | ((sk1) = (cons @ sk5 @ sk7)))),
% 6.32/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3813])).
% 6.32/1.50 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.32/1.50 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.32/1.50 thf(zip_derived_cl4466, plain, (((sk1) = (cons @ sk5 @ sk7))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl4465, zip_derived_cl193, zip_derived_cl191])).
% 6.32/1.50 thf(zip_derived_cl95, plain,
% 6.32/1.50 (![X0 : $i, X1 : $i]:
% 6.32/1.50 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause96])).
% 6.32/1.50 thf(zip_derived_cl4470, plain,
% 6.32/1.50 ((~ (ssItem @ sk5) | ~ (ssList @ sk7) | ((tl @ sk1) = (sk7)))),
% 6.32/1.50 inference('s_sup+', [status(thm)], [zip_derived_cl4466, zip_derived_cl95])).
% 6.32/1.50 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.32/1.50 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.32/1.50 thf(zip_derived_cl4521, plain, (((tl @ sk1) = (sk7))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl4470, zip_derived_cl191, zip_derived_cl193])).
% 6.32/1.50 thf(zip_derived_cl1523, plain, ((((tl @ sk1) = (nil)) | ((nil) = (sk1)))),
% 6.32/1.50 inference('clc', [status(thm)], [zip_derived_cl1498, zip_derived_cl1366])).
% 6.32/1.50 thf(zip_derived_cl3358, plain, (((sk1) != (nil))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl3353, zip_derived_cl7, zip_derived_cl191])).
% 6.32/1.50 thf(zip_derived_cl4746, plain, (((tl @ sk1) = (nil))),
% 6.32/1.50 inference('simplify_reflect-', [status(thm)],
% 6.32/1.50 [zip_derived_cl1523, zip_derived_cl3358])).
% 6.32/1.50 thf(zip_derived_cl5242, plain, (((nil) = (sk7))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl4521, zip_derived_cl4746])).
% 6.32/1.50 thf(zip_derived_cl5262, plain,
% 6.32/1.50 (( (memberP @ nil @ sk5) | (memberP @ nil @ sk5))),
% 6.32/1.50 inference('demod', [status(thm)],
% 6.32/1.50 [zip_derived_cl3688, zip_derived_cl5242])).
% 6.32/1.50 thf(zip_derived_cl5263, plain, ( (memberP @ nil @ sk5)),
% 6.32/1.50 inference('simplify', [status(thm)], [zip_derived_cl5262])).
% 6.32/1.50 thf(zip_derived_cl70, plain,
% 6.32/1.50 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 6.32/1.50 inference('cnf', [status(esa)], [clause71])).
% 6.32/1.50 thf(zip_derived_cl5489, plain, (~ (ssItem @ sk5)),
% 6.32/1.50 inference('s_sup-', [status(thm)], [zip_derived_cl5263, zip_derived_cl70])).
% 6.32/1.50 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.32/1.50 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.32/1.50 thf(zip_derived_cl5490, plain, ($false),
% 6.32/1.50 inference('demod', [status(thm)], [zip_derived_cl5489, zip_derived_cl191])).
% 6.32/1.50
% 6.32/1.50 % SZS output end Refutation
% 6.32/1.50
% 6.32/1.50
% 6.32/1.50 % Terminating...
% 6.62/1.54 % Runner terminated.
% 6.62/1.54 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------