TSTP Solution File: SWC175-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC175-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.K9O5YgKLlI true
% Computer : n012.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 21:29:39 EDT 2023
% Result : Unsatisfiable 5.27s 1.34s
% Output : Refutation 5.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC175-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.K9O5YgKLlI true
% 0.18/0.35 % Computer : n012.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Mon Aug 28 17:24:39 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.36 % Running portfolio for 300 s
% 0.18/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % Running in FO mode
% 0.23/0.63 % Total configuration time : 435
% 0.23/0.63 % Estimated wc time : 1092
% 0.23/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.27/1.34 % Solved by fo/fo13.sh.
% 5.27/1.34 % done 688 iterations in 0.593s
% 5.27/1.34 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.27/1.34 % SZS output start Refutation
% 5.27/1.34 thf(nil_type, type, nil: $i).
% 5.27/1.34 thf(sk8_type, type, sk8: $i).
% 5.27/1.34 thf(cons_type, type, cons: $i > $i > $i).
% 5.27/1.34 thf(sk9_type, type, sk9: $i).
% 5.27/1.34 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 5.27/1.34 thf(lt_type, type, lt: $i > $i > $o).
% 5.27/1.34 thf(ssItem_type, type, ssItem: $i > $o).
% 5.27/1.34 thf(sk7_type, type, sk7: $i).
% 5.27/1.34 thf(sk6_type, type, sk6: $i).
% 5.27/1.34 thf(strictorderedP_type, type, strictorderedP: $i > $o).
% 5.27/1.34 thf(sk3_type, type, sk3: $i).
% 5.27/1.34 thf(neq_type, type, neq: $i > $i > $o).
% 5.27/1.34 thf(app_type, type, app: $i > $i > $i).
% 5.27/1.34 thf(ssList_type, type, ssList: $i > $o).
% 5.27/1.34 thf(sk1_type, type, sk1: $i).
% 5.27/1.34 thf(clause86, axiom,
% 5.27/1.34 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 5.27/1.34 thf(zip_derived_cl85, plain,
% 5.27/1.34 (![X0 : $i, X1 : $i]:
% 5.27/1.34 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.27/1.34 inference('cnf', [status(esa)], [clause86])).
% 5.27/1.34 thf(clause72, axiom,
% 5.27/1.34 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 5.27/1.34 thf(zip_derived_cl71, plain,
% 5.27/1.34 (![X0 : $i, X1 : $i]:
% 5.27/1.34 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 5.27/1.34 inference('cnf', [status(esa)], [clause72])).
% 5.27/1.34 thf(zip_derived_cl85, plain,
% 5.27/1.34 (![X0 : $i, X1 : $i]:
% 5.27/1.34 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.27/1.34 inference('cnf', [status(esa)], [clause86])).
% 5.27/1.34 thf(clause85, axiom,
% 5.27/1.34 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 5.27/1.34 thf(zip_derived_cl84, plain,
% 5.27/1.34 (![X0 : $i, X1 : $i]:
% 5.27/1.34 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 5.27/1.34 inference('cnf', [status(esa)], [clause85])).
% 5.27/1.34 thf(clause120, axiom,
% 5.27/1.34 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 5.27/1.34 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 5.27/1.34 thf(zip_derived_cl119, plain,
% 5.27/1.34 (![X0 : $i, X1 : $i]:
% 5.27/1.34 (~ (ssItem @ X0)
% 5.27/1.34 | ~ (ssList @ X1)
% 5.27/1.34 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 5.27/1.34 inference('cnf', [status(esa)], [clause120])).
% 5.27/1.34 thf(zip_derived_cl85, plain,
% 5.27/1.34 (![X0 : $i, X1 : $i]:
% 5.27/1.34 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.27/1.34 inference('cnf', [status(esa)], [clause86])).
% 5.27/1.34 thf(co1_15, conjecture,
% 5.27/1.34 (( app @
% 5.27/1.34 ( app @ ( app @ sk8 @ ( cons @ sk6 @ nil ) ) @ ( cons @ sk7 @ nil ) ) @
% 5.27/1.34 sk9 ) !=
% 5.27/1.34 ( sk1 ))).
% 5.27/1.34 thf(zf_stmt_0, negated_conjecture,
% 5.27/1.34 (( app @
% 5.27/1.34 ( app @ ( app @ sk8 @ ( cons @ sk6 @ nil ) ) @ ( cons @ sk7 @ nil ) ) @
% 5.27/1.34 sk9 ) =
% 5.27/1.34 ( sk1 )),
% 5.27/1.34 inference('cnf.neg', [status(esa)], [co1_15])).
% 5.27/1.34 thf(zip_derived_cl199, plain,
% 5.27/1.34 (((app @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ (cons @ sk7 @ nil)) @
% 5.27/1.34 sk9) = (sk1))),
% 5.27/1.34 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.27/1.34 thf(clause102, axiom,
% 5.27/1.34 (( ~( ssItem @ U ) ) | ( ~( ssItem @ V ) ) | ( neq @ V @ U ) |
% 5.27/1.34 ( ( V ) = ( U ) ))).
% 5.27/1.34 thf(zip_derived_cl101, plain,
% 5.27/1.34 (![X0 : $i, X1 : $i]:
% 5.27/1.34 (~ (ssItem @ X0) | ~ (ssItem @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 5.27/1.34 inference('cnf', [status(esa)], [clause102])).
% 5.27/1.34 thf(co1_16, conjecture, (neq @ sk6 @ sk7)).
% 5.27/1.34 thf(zf_stmt_1, negated_conjecture, (~( neq @ sk6 @ sk7 )),
% 5.27/1.34 inference('cnf.neg', [status(esa)], [co1_16])).
% 5.27/1.34 thf(zip_derived_cl200, plain, (~ (neq @ sk6 @ sk7)),
% 5.27/1.34 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.27/1.34 thf(zip_derived_cl303, plain,
% 5.27/1.34 ((((sk6) = (sk7)) | ~ (ssItem @ sk6) | ~ (ssItem @ sk7))),
% 5.27/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl200])).
% 5.27/1.34 thf(co1_11, conjecture, (~( ssItem @ sk6 ))).
% 5.27/1.34 thf(zf_stmt_2, negated_conjecture, (ssItem @ sk6),
% 5.27/1.34 inference('cnf.neg', [status(esa)], [co1_11])).
% 5.27/1.34 thf(zip_derived_cl195, plain, ( (ssItem @ sk6)),
% 5.27/1.34 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.27/1.34 thf(co1_12, conjecture, (~( ssItem @ sk7 ))).
% 5.27/1.34 thf(zf_stmt_3, negated_conjecture, (ssItem @ sk7),
% 5.27/1.34 inference('cnf.neg', [status(esa)], [co1_12])).
% 5.27/1.34 thf(zip_derived_cl196, plain, ( (ssItem @ sk7)),
% 5.27/1.34 inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.27/1.34 thf(zip_derived_cl306, plain, (((sk6) = (sk7))),
% 5.27/1.34 inference('demod', [status(thm)],
% 5.27/1.35 [zip_derived_cl303, zip_derived_cl195, zip_derived_cl196])).
% 5.27/1.35 thf(zip_derived_cl308, plain,
% 5.27/1.35 (((app @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ (cons @ sk6 @ nil)) @
% 5.27/1.35 sk9) = (sk1))),
% 5.27/1.35 inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl306])).
% 5.27/1.35 thf(clause149, axiom,
% 5.27/1.35 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 5.27/1.35 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 5.27/1.35 thf(zip_derived_cl148, plain,
% 5.27/1.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.27/1.35 (~ (ssList @ X0)
% 5.27/1.35 | ~ (ssList @ X1)
% 5.27/1.35 | ~ (ssList @ X2)
% 5.27/1.35 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 5.27/1.35 inference('cnf', [status(esa)], [clause149])).
% 5.27/1.35 thf(zip_derived_cl1391, plain,
% 5.27/1.35 ((~ (ssList @ sk9)
% 5.27/1.35 | ~ (ssList @ (cons @ sk6 @ nil))
% 5.27/1.35 | ~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 5.27/1.35 | ((sk1)
% 5.27/1.35 = (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @
% 5.27/1.35 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 5.27/1.35 inference('s_sup+', [status(thm)], [zip_derived_cl308, zip_derived_cl148])).
% 5.27/1.35 thf(co1_14, conjecture, (~( ssList @ sk9 ))).
% 5.27/1.35 thf(zf_stmt_4, negated_conjecture, (ssList @ sk9),
% 5.27/1.35 inference('cnf.neg', [status(esa)], [co1_14])).
% 5.27/1.35 thf(zip_derived_cl198, plain, ( (ssList @ sk9)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.27/1.35 thf(zip_derived_cl1404, plain,
% 5.27/1.35 ((~ (ssList @ (cons @ sk6 @ nil))
% 5.27/1.35 | ~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 5.27/1.35 | ((sk1)
% 5.27/1.35 = (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @
% 5.27/1.35 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 5.27/1.35 inference('demod', [status(thm)], [zip_derived_cl1391, zip_derived_cl198])).
% 5.27/1.35 thf(zip_derived_cl2920, plain,
% 5.27/1.35 ((~ (ssList @ nil)
% 5.27/1.35 | ~ (ssItem @ sk6)
% 5.27/1.35 | ~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 5.27/1.35 | ((sk1)
% 5.27/1.35 = (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @
% 5.27/1.35 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 5.27/1.35 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1404])).
% 5.27/1.35 thf(clause8, axiom, (ssList @ nil)).
% 5.27/1.35 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.35 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.35 thf(zip_derived_cl195, plain, ( (ssItem @ sk6)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.27/1.35 thf(zip_derived_cl2923, plain,
% 5.27/1.35 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 5.27/1.35 | ((sk1)
% 5.27/1.35 = (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @
% 5.27/1.35 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 5.27/1.35 inference('demod', [status(thm)],
% 5.27/1.35 [zip_derived_cl2920, zip_derived_cl7, zip_derived_cl195])).
% 5.27/1.35 thf(zip_derived_cl2950, plain,
% 5.27/1.35 ((~ (ssList @ sk9)
% 5.27/1.35 | ~ (ssItem @ sk6)
% 5.27/1.35 | ~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 5.27/1.35 | ((sk1)
% 5.27/1.35 = (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ (cons @ sk6 @ sk9))))),
% 5.27/1.35 inference('s_sup+', [status(thm)],
% 5.27/1.35 [zip_derived_cl119, zip_derived_cl2923])).
% 5.27/1.35 thf(zip_derived_cl198, plain, ( (ssList @ sk9)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.27/1.35 thf(zip_derived_cl195, plain, ( (ssItem @ sk6)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.27/1.35 thf(zip_derived_cl2952, plain,
% 5.27/1.35 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 5.27/1.35 | ((sk1)
% 5.27/1.35 = (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ (cons @ sk6 @ sk9))))),
% 5.27/1.35 inference('demod', [status(thm)],
% 5.27/1.35 [zip_derived_cl2950, zip_derived_cl198, zip_derived_cl195])).
% 5.27/1.35 thf(clause179, axiom,
% 5.27/1.35 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 5.27/1.35 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 5.27/1.35 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 5.27/1.35 thf(zip_derived_cl178, plain,
% 5.27/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.27/1.35 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 5.27/1.35 | ~ (ssList @ X4)
% 5.27/1.35 | ~ (ssList @ X3)
% 5.27/1.35 | ~ (ssList @ X1)
% 5.27/1.35 | ~ (ssItem @ X2)
% 5.27/1.35 | ~ (duplicatefreeP @ X0)
% 5.27/1.35 | ~ (ssList @ X0))),
% 5.27/1.35 inference('cnf', [status(esa)], [clause179])).
% 5.27/1.35 thf(zip_derived_cl3214, plain,
% 5.27/1.35 (![X0 : $i]:
% 5.27/1.35 (~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 5.27/1.35 | ((sk1) != (X0))
% 5.27/1.35 | ~ (ssList @ sk9)
% 5.27/1.35 | ~ (ssList @ nil)
% 5.27/1.35 | ~ (ssList @ sk8)
% 5.27/1.35 | ~ (ssItem @ sk6)
% 5.27/1.35 | ~ (duplicatefreeP @ X0)
% 5.27/1.35 | ~ (ssList @ X0))),
% 5.27/1.35 inference('s_sup-', [status(thm)],
% 5.27/1.35 [zip_derived_cl2952, zip_derived_cl178])).
% 5.27/1.35 thf(zip_derived_cl198, plain, ( (ssList @ sk9)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.27/1.35 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.35 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.35 thf(co1_13, conjecture, (~( ssList @ sk8 ))).
% 5.27/1.35 thf(zf_stmt_5, negated_conjecture, (ssList @ sk8),
% 5.27/1.35 inference('cnf.neg', [status(esa)], [co1_13])).
% 5.27/1.35 thf(zip_derived_cl197, plain, ( (ssList @ sk8)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_5])).
% 5.27/1.35 thf(zip_derived_cl195, plain, ( (ssItem @ sk6)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.27/1.35 thf(zip_derived_cl3244, plain,
% 5.27/1.35 (![X0 : $i]:
% 5.27/1.35 (~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 5.27/1.35 | ((sk1) != (X0))
% 5.27/1.35 | ~ (duplicatefreeP @ X0)
% 5.27/1.35 | ~ (ssList @ X0))),
% 5.27/1.35 inference('demod', [status(thm)],
% 5.27/1.35 [zip_derived_cl3214, zip_derived_cl198, zip_derived_cl7,
% 5.27/1.35 zip_derived_cl197, zip_derived_cl195])).
% 5.27/1.35 thf(zip_derived_cl3265, plain,
% 5.27/1.35 (![X0 : $i]:
% 5.27/1.35 (~ (ssList @ sk8)
% 5.27/1.35 | ~ (ssList @ (cons @ sk6 @ nil))
% 5.27/1.35 | ((sk1) != (X0))
% 5.27/1.35 | ~ (duplicatefreeP @ X0)
% 5.27/1.35 | ~ (ssList @ X0))),
% 5.27/1.35 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3244])).
% 5.27/1.35 thf(zip_derived_cl197, plain, ( (ssList @ sk8)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_5])).
% 5.27/1.35 thf(zip_derived_cl3266, plain,
% 5.27/1.35 (![X0 : $i]:
% 5.27/1.35 (~ (ssList @ (cons @ sk6 @ nil))
% 5.27/1.35 | ((sk1) != (X0))
% 5.27/1.35 | ~ (duplicatefreeP @ X0)
% 5.27/1.35 | ~ (ssList @ X0))),
% 5.27/1.35 inference('demod', [status(thm)], [zip_derived_cl3265, zip_derived_cl197])).
% 5.27/1.35 thf(zip_derived_cl3267, plain,
% 5.27/1.35 (![X0 : $i]:
% 5.27/1.35 (~ (ssList @ nil)
% 5.27/1.35 | ~ (ssItem @ sk6)
% 5.27/1.35 | ((sk1) != (X0))
% 5.27/1.35 | ~ (duplicatefreeP @ X0)
% 5.27/1.35 | ~ (ssList @ X0))),
% 5.27/1.35 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3266])).
% 5.27/1.35 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.35 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.35 thf(zip_derived_cl195, plain, ( (ssItem @ sk6)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.27/1.35 thf(zip_derived_cl3268, plain,
% 5.27/1.35 (![X0 : $i]:
% 5.27/1.35 (((sk1) != (X0)) | ~ (duplicatefreeP @ X0) | ~ (ssList @ X0))),
% 5.27/1.35 inference('demod', [status(thm)],
% 5.27/1.35 [zip_derived_cl3267, zip_derived_cl7, zip_derived_cl195])).
% 5.27/1.35 thf(zip_derived_cl3269, plain,
% 5.27/1.35 ((~ (ssList @ sk1) | ~ (duplicatefreeP @ sk1))),
% 5.27/1.35 inference('eq_res', [status(thm)], [zip_derived_cl3268])).
% 5.27/1.35 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 5.27/1.35 thf(zf_stmt_6, negated_conjecture, (ssList @ sk1),
% 5.27/1.35 inference('cnf.neg', [status(esa)], [co1_1])).
% 5.27/1.35 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.27/1.35 thf(zip_derived_cl3270, plain, (~ (duplicatefreeP @ sk1)),
% 5.27/1.35 inference('demod', [status(thm)], [zip_derived_cl3269, zip_derived_cl185])).
% 5.27/1.35 thf(zip_derived_cl3271, plain,
% 5.27/1.35 (![X0 : $i]: ( (ssItem @ X0) | ~ (ssList @ sk1))),
% 5.27/1.35 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl3270])).
% 5.27/1.35 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.27/1.35 thf(zip_derived_cl3272, plain, (![X0 : $i]: (ssItem @ X0)),
% 5.27/1.35 inference('demod', [status(thm)], [zip_derived_cl3271, zip_derived_cl185])).
% 5.27/1.35 thf(zip_derived_cl3284, plain,
% 5.27/1.35 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.27/1.35 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl3272])).
% 5.27/1.35 thf(zip_derived_cl84, plain,
% 5.27/1.35 (![X0 : $i, X1 : $i]:
% 5.27/1.35 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 5.27/1.35 inference('cnf', [status(esa)], [clause85])).
% 5.27/1.35 thf(zip_derived_cl2952, plain,
% 5.27/1.35 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 5.27/1.35 | ((sk1)
% 5.27/1.35 = (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ (cons @ sk6 @ sk9))))),
% 5.27/1.35 inference('demod', [status(thm)],
% 5.27/1.35 [zip_derived_cl2950, zip_derived_cl198, zip_derived_cl195])).
% 5.27/1.35 thf(clause181, axiom,
% 5.27/1.35 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) ) != ( Z ) ) |
% 5.27/1.35 ( ~( ssList @ Y ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 5.27/1.35 ( ~( ssItem @ X ) ) | ( ~( ssItem @ V ) ) | ( ~( strictorderedP @ Z ) ) |
% 5.27/1.35 ( ~( ssList @ Z ) ) | ( lt @ V @ X ))).
% 5.27/1.35 thf(zip_derived_cl180, plain,
% 5.27/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.27/1.35 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X4 @ X5)) != (X0))
% 5.27/1.35 | ~ (ssList @ X5)
% 5.27/1.35 | ~ (ssList @ X3)
% 5.27/1.35 | ~ (ssList @ X1)
% 5.27/1.35 | ~ (ssItem @ X4)
% 5.27/1.35 | ~ (ssItem @ X2)
% 5.27/1.35 | ~ (strictorderedP @ X0)
% 5.27/1.35 | ~ (ssList @ X0)
% 5.27/1.35 | (lt @ X2 @ X4))),
% 5.27/1.35 inference('cnf', [status(esa)], [clause181])).
% 5.27/1.35 thf(zip_derived_cl3272, plain, (![X0 : $i]: (ssItem @ X0)),
% 5.27/1.35 inference('demod', [status(thm)], [zip_derived_cl3271, zip_derived_cl185])).
% 5.27/1.35 thf(zip_derived_cl3272, plain, (![X0 : $i]: (ssItem @ X0)),
% 5.27/1.35 inference('demod', [status(thm)], [zip_derived_cl3271, zip_derived_cl185])).
% 5.27/1.35 thf(zip_derived_cl3368, plain,
% 5.27/1.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.27/1.35 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X4 @ X5)) != (X0))
% 5.27/1.35 | ~ (ssList @ X5)
% 5.27/1.35 | ~ (ssList @ X3)
% 5.27/1.35 | ~ (ssList @ X1)
% 5.27/1.35 | ~ (strictorderedP @ X0)
% 5.27/1.35 | ~ (ssList @ X0)
% 5.27/1.35 | (lt @ X2 @ X4))),
% 5.27/1.35 inference('demod', [status(thm)],
% 5.27/1.35 [zip_derived_cl180, zip_derived_cl3272, zip_derived_cl3272])).
% 5.27/1.35 thf(zip_derived_cl3377, plain,
% 5.27/1.35 (![X0 : $i]:
% 5.27/1.35 (~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 5.27/1.35 | ((sk1) != (X0))
% 5.27/1.35 | ~ (ssList @ sk9)
% 5.27/1.35 | ~ (ssList @ nil)
% 5.27/1.35 | ~ (ssList @ sk8)
% 5.27/1.35 | ~ (strictorderedP @ X0)
% 5.27/1.35 | ~ (ssList @ X0)
% 5.27/1.35 | (lt @ sk6 @ sk6))),
% 5.27/1.35 inference('s_sup-', [status(thm)],
% 5.27/1.35 [zip_derived_cl2952, zip_derived_cl3368])).
% 5.27/1.35 thf(zip_derived_cl198, plain, ( (ssList @ sk9)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.27/1.35 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.35 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.35 thf(zip_derived_cl197, plain, ( (ssList @ sk8)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_5])).
% 5.27/1.35 thf(clause63, axiom, (( ~( lt @ U @ U ) ) | ( ~( ssItem @ U ) ))).
% 5.27/1.35 thf(zip_derived_cl62, plain,
% 5.27/1.35 (![X0 : $i]: (~ (lt @ X0 @ X0) | ~ (ssItem @ X0))),
% 5.27/1.35 inference('cnf', [status(esa)], [clause63])).
% 5.27/1.35 thf(zip_derived_cl3272, plain, (![X0 : $i]: (ssItem @ X0)),
% 5.27/1.35 inference('demod', [status(thm)], [zip_derived_cl3271, zip_derived_cl185])).
% 5.27/1.35 thf(zip_derived_cl3275, plain, (![X0 : $i]: ~ (lt @ X0 @ X0)),
% 5.27/1.35 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl3272])).
% 5.27/1.35 thf(zip_derived_cl3410, plain,
% 5.27/1.35 (![X0 : $i]:
% 5.27/1.35 (~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 5.27/1.35 | ((sk1) != (X0))
% 5.27/1.35 | ~ (strictorderedP @ X0)
% 5.27/1.35 | ~ (ssList @ X0))),
% 5.27/1.35 inference('demod', [status(thm)],
% 5.27/1.35 [zip_derived_cl3377, zip_derived_cl198, zip_derived_cl7,
% 5.27/1.35 zip_derived_cl197, zip_derived_cl3275])).
% 5.27/1.35 thf(zip_derived_cl3641, plain,
% 5.27/1.35 (![X0 : $i]:
% 5.27/1.35 (~ (ssList @ sk8)
% 5.27/1.35 | ~ (ssList @ (cons @ sk6 @ nil))
% 5.27/1.35 | ((sk1) != (X0))
% 5.27/1.35 | ~ (strictorderedP @ X0)
% 5.27/1.35 | ~ (ssList @ X0))),
% 5.27/1.35 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3410])).
% 5.27/1.35 thf(zip_derived_cl197, plain, ( (ssList @ sk8)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_5])).
% 5.27/1.35 thf(zip_derived_cl3642, plain,
% 5.27/1.35 (![X0 : $i]:
% 5.27/1.35 (~ (ssList @ (cons @ sk6 @ nil))
% 5.27/1.35 | ((sk1) != (X0))
% 5.27/1.35 | ~ (strictorderedP @ X0)
% 5.27/1.35 | ~ (ssList @ X0))),
% 5.27/1.35 inference('demod', [status(thm)], [zip_derived_cl3641, zip_derived_cl197])).
% 5.27/1.35 thf(zip_derived_cl3767, plain,
% 5.27/1.35 (![X0 : $i]:
% 5.27/1.35 (~ (ssList @ nil)
% 5.27/1.35 | ((sk1) != (X0))
% 5.27/1.35 | ~ (strictorderedP @ X0)
% 5.27/1.35 | ~ (ssList @ X0))),
% 5.27/1.35 inference('s_sup-', [status(thm)],
% 5.27/1.35 [zip_derived_cl3284, zip_derived_cl3642])).
% 5.27/1.35 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.35 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.35 thf(zip_derived_cl3768, plain,
% 5.27/1.35 (![X0 : $i]:
% 5.27/1.35 (((sk1) != (X0)) | ~ (strictorderedP @ X0) | ~ (ssList @ X0))),
% 5.27/1.35 inference('demod', [status(thm)], [zip_derived_cl3767, zip_derived_cl7])).
% 5.27/1.35 thf(zip_derived_cl3769, plain,
% 5.27/1.35 ((~ (ssList @ sk1) | ~ (strictorderedP @ sk1))),
% 5.27/1.35 inference('eq_res', [status(thm)], [zip_derived_cl3768])).
% 5.27/1.35 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.27/1.35 thf(co1_9, conjecture, (~( strictorderedP @ sk3 ))).
% 5.27/1.35 thf(zf_stmt_7, negated_conjecture, (strictorderedP @ sk3),
% 5.27/1.35 inference('cnf.neg', [status(esa)], [co1_9])).
% 5.27/1.35 thf(zip_derived_cl193, plain, ( (strictorderedP @ sk3)),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.35 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 5.27/1.35 thf(zf_stmt_8, negated_conjecture, (( sk1 ) = ( sk3 )),
% 5.27/1.35 inference('cnf.neg', [status(esa)], [co1_6])).
% 5.27/1.35 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 5.27/1.35 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.27/1.35 thf(zip_derived_cl206, plain, ( (strictorderedP @ sk1)),
% 5.27/1.35 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 5.27/1.35 thf(zip_derived_cl3770, plain, ($false),
% 5.27/1.35 inference('demod', [status(thm)],
% 5.27/1.35 [zip_derived_cl3769, zip_derived_cl185, zip_derived_cl206])).
% 5.27/1.35
% 5.27/1.35 % SZS output end Refutation
% 5.27/1.35
% 5.27/1.35
% 5.27/1.35 % Terminating...
% 5.27/1.47 % Runner terminated.
% 5.27/1.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------