TSTP Solution File: SWC302-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC302-1 : 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.GUxktjQEYT true
% Computer : n025.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 21:30:35 EDT 2023
% Result : Unsatisfiable 30.47s 4.92s
% Output : Refutation 30.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC302-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GUxktjQEYT true
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 18:11:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 30.47/4.92 % Solved by fo/fo6_bce.sh.
% 30.47/4.92 % BCE start: 200
% 30.47/4.92 % BCE eliminated: 4
% 30.47/4.92 % PE start: 196
% 30.47/4.92 logic: eq
% 30.47/4.92 % PE eliminated: 6
% 30.47/4.92 % done 3071 iterations in 4.204s
% 30.47/4.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 30.47/4.92 % SZS output start Refutation
% 30.47/4.92 thf(totalorderedP_type, type, totalorderedP: $i > $o).
% 30.47/4.92 thf(nil_type, type, nil: $i).
% 30.47/4.92 thf(leq_type, type, leq: $i > $i > $o).
% 30.47/4.92 thf(cons_type, type, cons: $i > $i > $i).
% 30.47/4.92 thf(sk9_type, type, sk9: $i).
% 30.47/4.92 thf(sk8_type, type, sk8: $i).
% 30.47/4.92 thf(sk6_type, type, sk6: $i).
% 30.47/4.92 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 30.47/4.92 thf(lt_type, type, lt: $i > $i > $o).
% 30.47/4.92 thf(skac3_type, type, skac3: $i).
% 30.47/4.92 thf(ssItem_type, type, ssItem: $i > $o).
% 30.47/4.92 thf(skaf82_type, type, skaf82: $i > $i).
% 30.47/4.92 thf(sk5_type, type, sk5: $i).
% 30.47/4.92 thf(sk3_type, type, sk3: $i).
% 30.47/4.92 thf(app_type, type, app: $i > $i > $i).
% 30.47/4.92 thf(ssList_type, type, ssList: $i > $o).
% 30.47/4.92 thf(sk7_type, type, sk7: $i).
% 30.47/4.92 thf(sk1_type, type, sk1: $i).
% 30.47/4.92 thf(clause120, axiom,
% 30.47/4.92 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 30.47/4.92 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 30.47/4.92 thf(zip_derived_cl119, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (~ (ssItem @ X0)
% 30.47/4.92 | ~ (ssList @ X1)
% 30.47/4.92 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause120])).
% 30.47/4.92 thf(clause86, axiom,
% 30.47/4.92 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 30.47/4.92 thf(zip_derived_cl85, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause86])).
% 30.47/4.92 thf(clause85, axiom,
% 30.47/4.92 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 30.47/4.92 thf(zip_derived_cl84, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause85])).
% 30.47/4.92 thf(zip_derived_cl85, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause86])).
% 30.47/4.92 thf(zip_derived_cl119, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (~ (ssItem @ X0)
% 30.47/4.92 | ~ (ssList @ X1)
% 30.47/4.92 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause120])).
% 30.47/4.92 thf(zip_derived_cl85, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause86])).
% 30.47/4.92 thf(clause149, axiom,
% 30.47/4.92 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 30.47/4.92 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 30.47/4.92 thf(zip_derived_cl148, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.47/4.92 (~ (ssList @ X0)
% 30.47/4.92 | ~ (ssList @ X1)
% 30.47/4.92 | ~ (ssList @ X2)
% 30.47/4.92 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause149])).
% 30.47/4.92 thf(co1_14, conjecture,
% 30.47/4.92 (( app @
% 30.47/4.92 ( app @
% 30.47/4.92 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ sk8 ) @
% 30.47/4.92 ( cons @ sk6 @ nil ) ) @
% 30.47/4.92 sk9 ) !=
% 30.47/4.92 ( sk1 ))).
% 30.47/4.92 thf(zf_stmt_0, negated_conjecture,
% 30.47/4.92 (( app @
% 30.47/4.92 ( app @
% 30.47/4.92 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ sk8 ) @
% 30.47/4.92 ( cons @ sk6 @ nil ) ) @
% 30.47/4.92 sk9 ) =
% 30.47/4.92 ( sk1 )),
% 30.47/4.92 inference('cnf.neg', [status(esa)], [co1_14])).
% 30.47/4.92 thf(zip_derived_cl198, plain,
% 30.47/4.92 (((app @
% 30.47/4.92 (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 30.47/4.92 (cons @ sk6 @ nil)) @
% 30.47/4.92 sk9) = (sk1))),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 30.47/4.92 thf(zip_derived_cl2001, plain,
% 30.47/4.92 ((~ (ssList @ sk7)
% 30.47/4.92 | ~ (ssList @ (cons @ sk5 @ nil))
% 30.47/4.92 | ~ (ssList @ sk8)
% 30.47/4.92 | ((app @
% 30.47/4.92 (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 30.47/4.92 (cons @ sk6 @ nil)) @
% 30.47/4.92 sk9) = (sk1)))),
% 30.47/4.92 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl198])).
% 30.47/4.92 thf(co1_11, conjecture, (~( ssList @ sk7 ))).
% 30.47/4.92 thf(zf_stmt_1, negated_conjecture, (ssList @ sk7),
% 30.47/4.92 inference('cnf.neg', [status(esa)], [co1_11])).
% 30.47/4.92 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 30.47/4.92 thf(co1_12, conjecture, (~( ssList @ sk8 ))).
% 30.47/4.92 thf(zf_stmt_2, negated_conjecture, (ssList @ sk8),
% 30.47/4.92 inference('cnf.neg', [status(esa)], [co1_12])).
% 30.47/4.92 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 30.47/4.92 thf(zip_derived_cl2054, plain,
% 30.47/4.92 ((~ (ssList @ (cons @ sk5 @ nil))
% 30.47/4.92 | ((app @
% 30.47/4.92 (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 30.47/4.92 (cons @ sk6 @ nil)) @
% 30.47/4.92 sk9) = (sk1)))),
% 30.47/4.92 inference('demod', [status(thm)],
% 30.47/4.92 [zip_derived_cl2001, zip_derived_cl195, zip_derived_cl196])).
% 30.47/4.92 thf(zip_derived_cl2059, plain,
% 30.47/4.92 ((~ (ssList @ nil)
% 30.47/4.92 | ~ (ssItem @ sk5)
% 30.47/4.92 | ((app @
% 30.47/4.92 (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 30.47/4.92 (cons @ sk6 @ nil)) @
% 30.47/4.92 sk9) = (sk1)))),
% 30.47/4.92 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2054])).
% 30.47/4.92 thf(clause8, axiom, (ssList @ nil)).
% 30.47/4.92 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 30.47/4.92 inference('cnf', [status(esa)], [clause8])).
% 30.47/4.92 thf(co1_9, conjecture, (~( ssItem @ sk5 ))).
% 30.47/4.92 thf(zf_stmt_3, negated_conjecture, (ssItem @ sk5),
% 30.47/4.92 inference('cnf.neg', [status(esa)], [co1_9])).
% 30.47/4.92 thf(zip_derived_cl193, plain, ( (ssItem @ sk5)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 30.47/4.92 thf(zip_derived_cl2060, plain,
% 30.47/4.92 (((app @
% 30.47/4.92 (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 30.47/4.92 (cons @ sk6 @ nil)) @
% 30.47/4.92 sk9) = (sk1))),
% 30.47/4.92 inference('demod', [status(thm)],
% 30.47/4.92 [zip_derived_cl2059, zip_derived_cl7, zip_derived_cl193])).
% 30.47/4.92 thf(zip_derived_cl2082, plain,
% 30.47/4.92 ((~ (ssList @ sk8)
% 30.47/4.92 | ~ (ssItem @ sk5)
% 30.47/4.92 | ((app @
% 30.47/4.92 (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ (cons @ sk6 @ nil)) @ sk9)
% 30.47/4.92 = (sk1)))),
% 30.47/4.92 inference('s_sup+', [status(thm)],
% 30.47/4.92 [zip_derived_cl119, zip_derived_cl2060])).
% 30.47/4.92 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 30.47/4.92 thf(zip_derived_cl193, plain, ( (ssItem @ sk5)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 30.47/4.92 thf(zip_derived_cl2086, plain,
% 30.47/4.92 (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ (cons @ sk6 @ nil)) @
% 30.47/4.92 sk9) = (sk1))),
% 30.47/4.92 inference('demod', [status(thm)],
% 30.47/4.92 [zip_derived_cl2082, zip_derived_cl196, zip_derived_cl193])).
% 30.47/4.92 thf(zip_derived_cl148, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.47/4.92 (~ (ssList @ X0)
% 30.47/4.92 | ~ (ssList @ X1)
% 30.47/4.92 | ~ (ssList @ X2)
% 30.47/4.92 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause149])).
% 30.47/4.92 thf(zip_derived_cl2120, plain,
% 30.47/4.92 ((~ (ssList @ sk9)
% 30.47/4.92 | ~ (ssList @ (cons @ sk6 @ nil))
% 30.47/4.92 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 30.47/4.92 | ((sk1)
% 30.47/4.92 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 30.47/4.92 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 30.47/4.92 inference('s_sup+', [status(thm)],
% 30.47/4.92 [zip_derived_cl2086, zip_derived_cl148])).
% 30.47/4.92 thf(co1_13, conjecture, (~( ssList @ sk9 ))).
% 30.47/4.92 thf(zf_stmt_4, negated_conjecture, (ssList @ sk9),
% 30.47/4.92 inference('cnf.neg', [status(esa)], [co1_13])).
% 30.47/4.92 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_4])).
% 30.47/4.92 thf(zip_derived_cl2142, plain,
% 30.47/4.92 ((~ (ssList @ (cons @ sk6 @ nil))
% 30.47/4.92 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 30.47/4.92 | ((sk1)
% 30.47/4.92 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 30.47/4.92 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 30.47/4.92 inference('demod', [status(thm)], [zip_derived_cl2120, zip_derived_cl197])).
% 30.47/4.92 thf(zip_derived_cl4640, plain,
% 30.47/4.92 ((~ (ssList @ nil)
% 30.47/4.92 | ~ (ssItem @ sk6)
% 30.47/4.92 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 30.47/4.92 | ((sk1)
% 30.47/4.92 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 30.47/4.92 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 30.47/4.92 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2142])).
% 30.47/4.92 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 30.47/4.92 inference('cnf', [status(esa)], [clause8])).
% 30.47/4.92 thf(co1_10, conjecture, (~( ssItem @ sk6 ))).
% 30.47/4.92 thf(zf_stmt_5, negated_conjecture, (ssItem @ sk6),
% 30.47/4.92 inference('cnf.neg', [status(esa)], [co1_10])).
% 30.47/4.92 thf(zip_derived_cl194, plain, ( (ssItem @ sk6)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 30.47/4.92 thf(zip_derived_cl4641, plain,
% 30.47/4.92 ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 30.47/4.92 | ((sk1)
% 30.47/4.92 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 30.47/4.92 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 30.47/4.92 inference('demod', [status(thm)],
% 30.47/4.92 [zip_derived_cl4640, zip_derived_cl7, zip_derived_cl194])).
% 30.47/4.92 thf(zip_derived_cl4655, plain,
% 30.47/4.92 ((~ (ssList @ sk7)
% 30.47/4.92 | ~ (ssList @ (cons @ sk5 @ sk8))
% 30.47/4.92 | ((sk1)
% 30.47/4.92 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 30.47/4.92 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 30.47/4.92 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl4641])).
% 30.47/4.92 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 30.47/4.92 thf(zip_derived_cl4657, plain,
% 30.47/4.92 ((~ (ssList @ (cons @ sk5 @ sk8))
% 30.47/4.92 | ((sk1)
% 30.47/4.92 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 30.47/4.92 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 30.47/4.92 inference('demod', [status(thm)], [zip_derived_cl4655, zip_derived_cl195])).
% 30.47/4.92 thf(zip_derived_cl4659, plain,
% 30.47/4.92 ((~ (ssList @ sk8)
% 30.47/4.92 | ~ (ssItem @ sk5)
% 30.47/4.92 | ((sk1)
% 30.47/4.92 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 30.47/4.92 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 30.47/4.92 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl4657])).
% 30.47/4.92 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 30.47/4.92 thf(zip_derived_cl193, plain, ( (ssItem @ sk5)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 30.47/4.92 thf(zip_derived_cl4660, plain,
% 30.47/4.92 (((sk1)
% 30.47/4.92 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @
% 30.47/4.92 (app @ (cons @ sk6 @ nil) @ sk9)))),
% 30.47/4.92 inference('demod', [status(thm)],
% 30.47/4.92 [zip_derived_cl4659, zip_derived_cl196, zip_derived_cl193])).
% 30.47/4.92 thf(zip_derived_cl4693, plain,
% 30.47/4.92 ((~ (ssList @ sk9)
% 30.47/4.92 | ~ (ssItem @ sk6)
% 30.47/4.92 | ((sk1)
% 30.47/4.92 = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ (cons @ sk6 @ sk9))))),
% 30.47/4.92 inference('s_sup+', [status(thm)],
% 30.47/4.92 [zip_derived_cl119, zip_derived_cl4660])).
% 30.47/4.92 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_4])).
% 30.47/4.92 thf(zip_derived_cl194, plain, ( (ssItem @ sk6)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 30.47/4.92 thf(zip_derived_cl4697, plain,
% 30.47/4.92 (((sk1) = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ (cons @ sk6 @ sk9)))),
% 30.47/4.92 inference('demod', [status(thm)],
% 30.47/4.92 [zip_derived_cl4693, zip_derived_cl197, zip_derived_cl194])).
% 30.47/4.92 thf(clause182, axiom,
% 30.47/4.92 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) ) != ( Z ) ) |
% 30.47/4.92 ( ~( ssList @ Y ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 30.47/4.92 ( ~( ssItem @ X ) ) | ( ~( ssItem @ V ) ) | ( ~( totalorderedP @ Z ) ) |
% 30.47/4.92 ( ~( ssList @ Z ) ) | ( leq @ V @ X ))).
% 30.47/4.92 thf(zip_derived_cl181, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 30.47/4.92 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X4 @ X5)) != (X0))
% 30.47/4.92 | ~ (ssList @ X5)
% 30.47/4.92 | ~ (ssList @ X3)
% 30.47/4.92 | ~ (ssList @ X1)
% 30.47/4.92 | ~ (ssItem @ X4)
% 30.47/4.92 | ~ (ssItem @ X2)
% 30.47/4.92 | ~ (totalorderedP @ X0)
% 30.47/4.92 | ~ (ssList @ X0)
% 30.47/4.92 | (leq @ X2 @ X4))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause182])).
% 30.47/4.92 thf(zip_derived_cl4796, plain,
% 30.47/4.92 (![X0 : $i]:
% 30.47/4.92 (((sk1) != (X0))
% 30.47/4.92 | ~ (ssList @ sk9)
% 30.47/4.92 | ~ (ssList @ sk8)
% 30.47/4.92 | ~ (ssList @ sk7)
% 30.47/4.92 | ~ (ssItem @ sk6)
% 30.47/4.92 | ~ (ssItem @ sk5)
% 30.47/4.92 | ~ (totalorderedP @ X0)
% 30.47/4.92 | ~ (ssList @ X0)
% 30.47/4.92 | (leq @ sk5 @ sk6))),
% 30.47/4.92 inference('s_sup-', [status(thm)],
% 30.47/4.92 [zip_derived_cl4697, zip_derived_cl181])).
% 30.47/4.92 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_4])).
% 30.47/4.92 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 30.47/4.92 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 30.47/4.92 thf(zip_derived_cl194, plain, ( (ssItem @ sk6)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 30.47/4.92 thf(zip_derived_cl193, plain, ( (ssItem @ sk5)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 30.47/4.92 thf(zip_derived_cl4828, plain,
% 30.47/4.92 (![X0 : $i]:
% 30.47/4.92 (((sk1) != (X0))
% 30.47/4.92 | ~ (totalorderedP @ X0)
% 30.47/4.92 | ~ (ssList @ X0)
% 30.47/4.92 | (leq @ sk5 @ sk6))),
% 30.47/4.92 inference('demod', [status(thm)],
% 30.47/4.92 [zip_derived_cl4796, zip_derived_cl197, zip_derived_cl196,
% 30.47/4.92 zip_derived_cl195, zip_derived_cl194, zip_derived_cl193])).
% 30.47/4.92 thf(zip_derived_cl19261, plain,
% 30.47/4.92 (( (leq @ sk5 @ sk6) | ~ (ssList @ sk1) | ~ (totalorderedP @ sk1))),
% 30.47/4.92 inference('eq_res', [status(thm)], [zip_derived_cl4828])).
% 30.47/4.92 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 30.47/4.92 thf(zf_stmt_6, negated_conjecture, (ssList @ sk1),
% 30.47/4.92 inference('cnf.neg', [status(esa)], [co1_1])).
% 30.47/4.92 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_6])).
% 30.47/4.92 thf(co1_8, conjecture, (~( totalorderedP @ sk3 ))).
% 30.47/4.92 thf(zf_stmt_7, negated_conjecture, (totalorderedP @ sk3),
% 30.47/4.92 inference('cnf.neg', [status(esa)], [co1_8])).
% 30.47/4.92 thf(zip_derived_cl192, plain, ( (totalorderedP @ sk3)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_7])).
% 30.47/4.92 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 30.47/4.92 thf(zf_stmt_8, negated_conjecture, (( sk1 ) = ( sk3 )),
% 30.47/4.92 inference('cnf.neg', [status(esa)], [co1_6])).
% 30.47/4.92 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_8])).
% 30.47/4.92 thf(zip_derived_cl1357, plain, ( (totalorderedP @ sk1)),
% 30.47/4.92 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl190])).
% 30.47/4.92 thf(zip_derived_cl19262, plain, ( (leq @ sk5 @ sk6)),
% 30.47/4.92 inference('demod', [status(thm)],
% 30.47/4.92 [zip_derived_cl19261, zip_derived_cl185, zip_derived_cl1357])).
% 30.47/4.92 thf(clause121, axiom,
% 30.47/4.92 (( ~( leq @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssItem @ U ) ) |
% 30.47/4.92 ( lt @ U @ V ) | ( ( U ) = ( V ) ))).
% 30.47/4.92 thf(zip_derived_cl120, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (~ (leq @ X0 @ X1)
% 30.47/4.92 | ~ (ssItem @ X1)
% 30.47/4.92 | ~ (ssItem @ X0)
% 30.47/4.92 | (lt @ X0 @ X1)
% 30.47/4.92 | ((X0) = (X1)))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause121])).
% 30.47/4.92 thf(clause114, axiom,
% 30.47/4.92 (( ~( lt @ U @ V ) ) | ( ~( lt @ V @ U ) ) | ( ~( ssItem @ U ) ) |
% 30.47/4.92 ( ~( ssItem @ V ) ))).
% 30.47/4.92 thf(zip_derived_cl113, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (~ (lt @ X0 @ X1)
% 30.47/4.92 | ~ (lt @ X1 @ X0)
% 30.47/4.92 | ~ (ssItem @ X0)
% 30.47/4.92 | ~ (ssItem @ X1))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause114])).
% 30.47/4.92 thf(zip_derived_cl1586, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (((X1) = (X0))
% 30.47/4.92 | ~ (ssItem @ X1)
% 30.47/4.92 | ~ (ssItem @ X0)
% 30.47/4.92 | ~ (leq @ X1 @ X0)
% 30.47/4.92 | ~ (lt @ X0 @ X1)
% 30.47/4.92 | ~ (ssItem @ X1)
% 30.47/4.92 | ~ (ssItem @ X0))),
% 30.47/4.92 inference('s_sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl113])).
% 30.47/4.92 thf(zip_derived_cl1591, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (~ (lt @ X0 @ X1)
% 30.47/4.92 | ~ (leq @ X1 @ X0)
% 30.47/4.92 | ~ (ssItem @ X0)
% 30.47/4.92 | ~ (ssItem @ X1)
% 30.47/4.92 | ((X1) = (X0)))),
% 30.47/4.92 inference('simplify', [status(thm)], [zip_derived_cl1586])).
% 30.47/4.92 thf(clause111, axiom,
% 30.47/4.92 (( ( U ) != ( V ) ) | ( ~( lt @ U @ V ) ) | ( ~( ssItem @ V ) ) |
% 30.47/4.92 ( ~( ssItem @ U ) ))).
% 30.47/4.92 thf(zip_derived_cl110, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (((X1) != (X0)) | ~ (lt @ X1 @ X0) | ~ (ssItem @ X0) | ~ (ssItem @ X1))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause111])).
% 30.47/4.92 thf(zip_derived_cl1644, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (~ (ssItem @ X1)
% 30.47/4.92 | ~ (ssItem @ X0)
% 30.47/4.92 | ~ (leq @ X1 @ X0)
% 30.47/4.92 | ~ (lt @ X0 @ X1))),
% 30.47/4.92 inference('clc', [status(thm)], [zip_derived_cl1591, zip_derived_cl110])).
% 30.47/4.92 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 30.47/4.92 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause13])).
% 30.47/4.92 thf(zip_derived_cl119, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (~ (ssItem @ X0)
% 30.47/4.92 | ~ (ssList @ X1)
% 30.47/4.92 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause120])).
% 30.47/4.92 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 30.47/4.92 thf(zip_derived_cl73, plain,
% 30.47/4.92 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause74])).
% 30.47/4.92 thf(clause72, axiom,
% 30.47/4.92 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 30.47/4.92 thf(zip_derived_cl71, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause72])).
% 30.47/4.92 thf(clause179, axiom,
% 30.47/4.92 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 30.47/4.92 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 30.47/4.92 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 30.47/4.92 thf(zip_derived_cl178, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 30.47/4.92 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 30.47/4.92 | ~ (ssList @ X4)
% 30.47/4.92 | ~ (ssList @ X3)
% 30.47/4.92 | ~ (ssList @ X1)
% 30.47/4.92 | ~ (ssItem @ X2)
% 30.47/4.92 | ~ (duplicatefreeP @ X0)
% 30.47/4.92 | ~ (ssList @ X0))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause179])).
% 30.47/4.92 thf(zip_derived_cl1334, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 30.47/4.92 ( (ssItem @ X1)
% 30.47/4.92 | ~ (ssList @ X0)
% 30.47/4.92 | ~ (ssList @ X0)
% 30.47/4.92 | ~ (ssItem @ X3)
% 30.47/4.92 | ~ (ssList @ X5)
% 30.47/4.92 | ~ (ssList @ X4)
% 30.47/4.92 | ~ (ssList @ X2)
% 30.47/4.92 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 30.47/4.92 inference('dp-resolution', [status(thm)],
% 30.47/4.92 [zip_derived_cl71, zip_derived_cl178])).
% 30.47/4.92 thf(zip_derived_cl3231, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 30.47/4.92 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 30.47/4.92 | ~ (ssList @ X2)
% 30.47/4.92 | ~ (ssList @ X4)
% 30.47/4.92 | ~ (ssList @ X5)
% 30.47/4.92 | ~ (ssItem @ X3)
% 30.47/4.92 | ~ (ssList @ X0)
% 30.47/4.92 | (ssItem @ X1))),
% 30.47/4.92 inference('simplify', [status(thm)], [zip_derived_cl1334])).
% 30.47/4.92 thf(zip_derived_cl3248, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 30.47/4.92 ( (ssItem @ X0)
% 30.47/4.92 | ~ (ssList @
% 30.47/4.92 (app @ (app @ X4 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X1)))
% 30.47/4.92 | ~ (ssItem @ X2)
% 30.47/4.92 | ~ (ssList @ X4)
% 30.47/4.92 | ~ (ssList @ X3)
% 30.47/4.92 | ~ (ssList @ X1))),
% 30.47/4.92 inference('eq_res', [status(thm)], [zip_derived_cl3231])).
% 30.47/4.92 thf(zip_derived_cl4609, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.47/4.92 (~ (ssList @ (cons @ X1 @ X0))
% 30.47/4.92 | (ssItem @ X3)
% 30.47/4.92 | ~ (ssList @ (app @ (cons @ X1 @ X0) @ (cons @ X1 @ X2)))
% 30.47/4.92 | ~ (ssItem @ X1)
% 30.47/4.92 | ~ (ssList @ nil)
% 30.47/4.92 | ~ (ssList @ X0)
% 30.47/4.92 | ~ (ssList @ X2))),
% 30.47/4.92 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl3248])).
% 30.47/4.92 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 30.47/4.92 inference('cnf', [status(esa)], [clause8])).
% 30.47/4.92 thf(zip_derived_cl4628, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.47/4.92 (~ (ssList @ (cons @ X1 @ X0))
% 30.47/4.92 | (ssItem @ X3)
% 30.47/4.92 | ~ (ssList @ (app @ (cons @ X1 @ X0) @ (cons @ X1 @ X2)))
% 30.47/4.92 | ~ (ssItem @ X1)
% 30.47/4.92 | ~ (ssList @ X0)
% 30.47/4.92 | ~ (ssList @ X2))),
% 30.47/4.92 inference('demod', [status(thm)], [zip_derived_cl4609, zip_derived_cl7])).
% 30.47/4.92 thf(zip_derived_cl85, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause86])).
% 30.47/4.92 thf(zip_derived_cl6198, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 30.47/4.92 (~ (ssList @ X2)
% 30.47/4.92 | ~ (ssList @ X0)
% 30.47/4.92 | ~ (ssItem @ X1)
% 30.47/4.92 | ~ (ssList @ (app @ (cons @ X1 @ X0) @ (cons @ X1 @ X2)))
% 30.47/4.92 | (ssItem @ X3))),
% 30.47/4.92 inference('clc', [status(thm)], [zip_derived_cl4628, zip_derived_cl85])).
% 30.47/4.92 thf(zip_derived_cl6202, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.47/4.92 (~ (ssList @ (cons @ X1 @ X0))
% 30.47/4.92 | ~ (ssItem @ X1)
% 30.47/4.92 | ~ (ssList @ X0)
% 30.47/4.92 | ~ (ssList @ nil)
% 30.47/4.92 | ~ (ssItem @ X1)
% 30.47/4.92 | ~ (ssList @ (cons @ X1 @ (cons @ X1 @ X0)))
% 30.47/4.92 | (ssItem @ X2))),
% 30.47/4.92 inference('s_sup-', [status(thm)],
% 30.47/4.92 [zip_derived_cl119, zip_derived_cl6198])).
% 30.47/4.92 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 30.47/4.92 inference('cnf', [status(esa)], [clause8])).
% 30.47/4.92 thf(zip_derived_cl6209, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.47/4.92 (~ (ssList @ (cons @ X1 @ X0))
% 30.47/4.92 | ~ (ssItem @ X1)
% 30.47/4.92 | ~ (ssList @ X0)
% 30.47/4.92 | ~ (ssItem @ X1)
% 30.47/4.92 | ~ (ssList @ (cons @ X1 @ (cons @ X1 @ X0)))
% 30.47/4.92 | (ssItem @ X2))),
% 30.47/4.92 inference('demod', [status(thm)], [zip_derived_cl6202, zip_derived_cl7])).
% 30.47/4.92 thf(zip_derived_cl6210, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.47/4.92 ( (ssItem @ X2)
% 30.47/4.92 | ~ (ssList @ (cons @ X1 @ (cons @ X1 @ X0)))
% 30.47/4.92 | ~ (ssList @ X0)
% 30.47/4.92 | ~ (ssItem @ X1)
% 30.47/4.92 | ~ (ssList @ (cons @ X1 @ X0)))),
% 30.47/4.92 inference('simplify', [status(thm)], [zip_derived_cl6209])).
% 30.47/4.92 thf(zip_derived_cl85, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause86])).
% 30.47/4.92 thf(zip_derived_cl6246, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.47/4.92 (~ (ssList @ (cons @ X1 @ X0))
% 30.47/4.92 | ~ (ssItem @ X1)
% 30.47/4.92 | ~ (ssList @ X0)
% 30.47/4.92 | (ssItem @ X2))),
% 30.47/4.92 inference('clc', [status(thm)], [zip_derived_cl6210, zip_derived_cl85])).
% 30.47/4.92 thf(zip_derived_cl85, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]:
% 30.47/4.92 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 30.47/4.92 inference('cnf', [status(esa)], [clause86])).
% 30.47/4.92 thf(zip_derived_cl6247, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 30.47/4.92 ( (ssItem @ X2) | ~ (ssList @ X0) | ~ (ssItem @ X1))),
% 30.47/4.92 inference('clc', [status(thm)], [zip_derived_cl6246, zip_derived_cl85])).
% 30.47/4.92 thf(zip_derived_cl6302, plain,
% 30.47/4.92 (![X1 : $i, X2 : $i]: ( (ssItem @ X1) | ~ (ssItem @ X2))),
% 30.47/4.92 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl6247])).
% 30.47/4.92 thf(clause9, axiom, (ssItem @ skac3)).
% 30.47/4.92 thf(zip_derived_cl8, plain, ( (ssItem @ skac3)),
% 30.47/4.92 inference('cnf', [status(esa)], [clause9])).
% 30.47/4.92 thf(zip_derived_cl6357, plain, (![X0 : $i]: (ssItem @ X0)),
% 30.47/4.92 inference('s_sup+', [status(thm)], [zip_derived_cl6302, zip_derived_cl8])).
% 30.47/4.92 thf(zip_derived_cl6357, plain, (![X0 : $i]: (ssItem @ X0)),
% 30.47/4.92 inference('s_sup+', [status(thm)], [zip_derived_cl6302, zip_derived_cl8])).
% 30.47/4.92 thf(zip_derived_cl6480, plain,
% 30.47/4.92 (![X0 : $i, X1 : $i]: (~ (leq @ X1 @ X0) | ~ (lt @ X0 @ X1))),
% 30.47/4.92 inference('demod', [status(thm)],
% 30.47/4.92 [zip_derived_cl1644, zip_derived_cl6357, zip_derived_cl6357])).
% 30.47/4.92 thf(zip_derived_cl19266, plain, (~ (lt @ sk6 @ sk5)),
% 30.47/4.92 inference('s_sup-', [status(thm)],
% 30.47/4.92 [zip_derived_cl19262, zip_derived_cl6480])).
% 30.47/4.92 thf(co1_15, conjecture, (~( lt @ sk6 @ sk5 ))).
% 30.47/4.92 thf(zf_stmt_9, negated_conjecture, (lt @ sk6 @ sk5),
% 30.47/4.92 inference('cnf.neg', [status(esa)], [co1_15])).
% 30.47/4.92 thf(zip_derived_cl199, plain, ( (lt @ sk6 @ sk5)),
% 30.47/4.92 inference('cnf', [status(esa)], [zf_stmt_9])).
% 30.47/4.92 thf(zip_derived_cl19270, plain, ($false),
% 30.47/4.92 inference('demod', [status(thm)],
% 30.47/4.92 [zip_derived_cl19266, zip_derived_cl199])).
% 30.47/4.92
% 30.47/4.92 % SZS output end Refutation
% 30.47/4.92
% 30.47/4.92
% 30.47/4.92 % Terminating...
% 30.47/4.96 % Runner terminated.
% 30.47/4.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------