TSTP Solution File: SWC188-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC188-1 : 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.a6HEXvQNAM 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 21:29:45 EDT 2023
% Result : Unsatisfiable 6.21s 1.51s
% Output : Refutation 6.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC188-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.a6HEXvQNAM true
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 16:14:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.21/1.51 % Solved by fo/fo13.sh.
% 6.21/1.51 % done 623 iterations in 0.742s
% 6.21/1.51 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.21/1.51 % SZS output start Refutation
% 6.21/1.51 thf(nil_type, type, nil: $i).
% 6.21/1.51 thf(cons_type, type, cons: $i > $i > $i).
% 6.21/1.51 thf(sk9_type, type, sk9: $i).
% 6.21/1.51 thf(sk8_type, type, sk8: $i).
% 6.21/1.51 thf(sk6_type, type, sk6: $i).
% 6.21/1.51 thf(equalelemsP_type, type, equalelemsP: $i > $o).
% 6.21/1.51 thf(ssItem_type, type, ssItem: $i > $o).
% 6.21/1.51 thf(sk5_type, type, sk5: $i).
% 6.21/1.51 thf(sk3_type, type, sk3: $i).
% 6.21/1.51 thf(app_type, type, app: $i > $i > $i).
% 6.21/1.51 thf(ssList_type, type, ssList: $i > $o).
% 6.21/1.51 thf(sk7_type, type, sk7: $i).
% 6.21/1.51 thf(sk1_type, type, sk1: $i).
% 6.21/1.51 thf(clause86, axiom,
% 6.21/1.51 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 6.21/1.51 thf(zip_derived_cl85, plain,
% 6.21/1.51 (![X0 : $i, X1 : $i]:
% 6.21/1.51 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.21/1.51 inference('cnf', [status(esa)], [clause86])).
% 6.21/1.51 thf(zip_derived_cl85, plain,
% 6.21/1.51 (![X0 : $i, X1 : $i]:
% 6.21/1.51 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.21/1.51 inference('cnf', [status(esa)], [clause86])).
% 6.21/1.51 thf(clause120, axiom,
% 6.21/1.51 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 6.21/1.51 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 6.21/1.51 thf(zip_derived_cl119, plain,
% 6.21/1.51 (![X0 : $i, X1 : $i]:
% 6.21/1.51 (~ (ssItem @ X0)
% 6.21/1.51 | ~ (ssList @ X1)
% 6.21/1.51 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 6.21/1.51 inference('cnf', [status(esa)], [clause120])).
% 6.21/1.51 thf(zip_derived_cl85, plain,
% 6.21/1.51 (![X0 : $i, X1 : $i]:
% 6.21/1.51 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.21/1.51 inference('cnf', [status(esa)], [clause86])).
% 6.21/1.51 thf(clause157, axiom,
% 6.21/1.51 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 6.21/1.51 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 6.21/1.51 thf(zip_derived_cl156, plain,
% 6.21/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.21/1.51 (~ (ssItem @ X0)
% 6.21/1.51 | ~ (ssList @ X1)
% 6.21/1.51 | ~ (ssList @ X2)
% 6.21/1.51 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 6.21/1.51 inference('cnf', [status(esa)], [clause157])).
% 6.21/1.51 thf(zip_derived_cl85, plain,
% 6.21/1.51 (![X0 : $i, X1 : $i]:
% 6.21/1.51 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.21/1.51 inference('cnf', [status(esa)], [clause86])).
% 6.21/1.51 thf(zip_derived_cl119, plain,
% 6.21/1.51 (![X0 : $i, X1 : $i]:
% 6.21/1.51 (~ (ssItem @ X0)
% 6.21/1.51 | ~ (ssList @ X1)
% 6.21/1.51 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 6.21/1.51 inference('cnf', [status(esa)], [clause120])).
% 6.21/1.51 thf(zip_derived_cl85, plain,
% 6.21/1.51 (![X0 : $i, X1 : $i]:
% 6.21/1.51 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.21/1.51 inference('cnf', [status(esa)], [clause86])).
% 6.21/1.51 thf(clause149, axiom,
% 6.21/1.51 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 6.21/1.51 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 6.21/1.51 thf(zip_derived_cl148, plain,
% 6.21/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.21/1.51 (~ (ssList @ X0)
% 6.21/1.51 | ~ (ssList @ X1)
% 6.21/1.51 | ~ (ssList @ X2)
% 6.21/1.51 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 6.21/1.51 inference('cnf', [status(esa)], [clause149])).
% 6.21/1.51 thf(co1_11, conjecture,
% 6.21/1.51 (( app @
% 6.21/1.51 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ ( cons @ sk6 @ nil ) ) @
% 6.21/1.51 sk8 ) !=
% 6.21/1.51 ( sk1 ))).
% 6.21/1.51 thf(zf_stmt_0, negated_conjecture,
% 6.21/1.51 (( app @
% 6.21/1.51 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ ( cons @ sk6 @ nil ) ) @
% 6.21/1.51 sk8 ) =
% 6.21/1.51 ( sk1 )),
% 6.21/1.51 inference('cnf.neg', [status(esa)], [co1_11])).
% 6.21/1.51 thf(zip_derived_cl195, plain,
% 6.21/1.51 (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)) @
% 6.21/1.51 sk8) = (sk1))),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.21/1.51 thf(zip_derived_cl1499, plain,
% 6.21/1.51 ((~ (ssList @ sk7)
% 6.21/1.51 | ~ (ssList @ (cons @ sk5 @ nil))
% 6.21/1.51 | ~ (ssList @ (cons @ sk6 @ nil))
% 6.21/1.51 | ((app @
% 6.21/1.51 (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil))) @ sk8)
% 6.21/1.51 = (sk1)))),
% 6.21/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl195])).
% 6.21/1.51 thf(co1_9, conjecture, (~( ssList @ sk7 ))).
% 6.21/1.51 thf(zf_stmt_1, negated_conjecture, (ssList @ sk7),
% 6.21/1.51 inference('cnf.neg', [status(esa)], [co1_9])).
% 6.21/1.51 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.21/1.51 thf(zip_derived_cl1551, plain,
% 6.21/1.51 ((~ (ssList @ (cons @ sk5 @ nil))
% 6.21/1.51 | ~ (ssList @ (cons @ sk6 @ nil))
% 6.21/1.51 | ((app @
% 6.21/1.51 (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil))) @ sk8)
% 6.21/1.51 = (sk1)))),
% 6.21/1.51 inference('demod', [status(thm)], [zip_derived_cl1499, zip_derived_cl193])).
% 6.21/1.51 thf(zip_derived_cl1744, plain,
% 6.21/1.51 ((~ (ssList @ nil)
% 6.21/1.51 | ~ (ssItem @ sk5)
% 6.21/1.51 | ~ (ssList @ (cons @ sk6 @ nil))
% 6.21/1.51 | ((app @
% 6.21/1.51 (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil))) @ sk8)
% 6.21/1.51 = (sk1)))),
% 6.21/1.51 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1551])).
% 6.21/1.51 thf(clause8, axiom, (ssList @ nil)).
% 6.21/1.51 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 6.21/1.51 inference('cnf', [status(esa)], [clause8])).
% 6.21/1.51 thf(co1_7, conjecture, (~( ssItem @ sk5 ))).
% 6.21/1.51 thf(zf_stmt_2, negated_conjecture, (ssItem @ sk5),
% 6.21/1.51 inference('cnf.neg', [status(esa)], [co1_7])).
% 6.21/1.51 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.21/1.51 thf(zip_derived_cl1747, plain,
% 6.21/1.51 ((~ (ssList @ (cons @ sk6 @ nil))
% 6.21/1.51 | ((app @
% 6.21/1.51 (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil))) @ sk8)
% 6.21/1.51 = (sk1)))),
% 6.21/1.51 inference('demod', [status(thm)],
% 6.21/1.51 [zip_derived_cl1744, zip_derived_cl7, zip_derived_cl191])).
% 6.21/1.51 thf(zip_derived_cl1775, plain,
% 6.21/1.51 ((~ (ssList @ (cons @ sk6 @ nil))
% 6.21/1.51 | ~ (ssItem @ sk5)
% 6.21/1.51 | ~ (ssList @ (cons @ sk6 @ nil))
% 6.21/1.51 | ((app @ (app @ sk7 @ (cons @ sk5 @ (cons @ sk6 @ nil))) @ sk8)
% 6.21/1.51 = (sk1)))),
% 6.21/1.51 inference('s_sup+', [status(thm)],
% 6.21/1.51 [zip_derived_cl119, zip_derived_cl1747])).
% 6.21/1.51 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.21/1.51 thf(zip_derived_cl1779, plain,
% 6.21/1.51 ((~ (ssList @ (cons @ sk6 @ nil))
% 6.21/1.51 | ~ (ssList @ (cons @ sk6 @ nil))
% 6.21/1.51 | ((app @ (app @ sk7 @ (cons @ sk5 @ (cons @ sk6 @ nil))) @ sk8)
% 6.21/1.51 = (sk1)))),
% 6.21/1.51 inference('demod', [status(thm)], [zip_derived_cl1775, zip_derived_cl191])).
% 6.21/1.51 thf(zip_derived_cl1780, plain,
% 6.21/1.51 ((((app @ (app @ sk7 @ (cons @ sk5 @ (cons @ sk6 @ nil))) @ sk8) = (sk1))
% 6.21/1.51 | ~ (ssList @ (cons @ sk6 @ nil)))),
% 6.21/1.51 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 6.21/1.51 thf(zip_derived_cl1993, plain,
% 6.21/1.51 ((~ (ssList @ nil)
% 6.21/1.51 | ~ (ssItem @ sk6)
% 6.21/1.51 | ((app @ (app @ sk7 @ (cons @ sk5 @ (cons @ sk6 @ nil))) @ sk8)
% 6.21/1.51 = (sk1)))),
% 6.21/1.51 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1780])).
% 6.21/1.51 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 6.21/1.51 inference('cnf', [status(esa)], [clause8])).
% 6.21/1.51 thf(co1_8, conjecture, (~( ssItem @ sk6 ))).
% 6.21/1.51 thf(zf_stmt_3, negated_conjecture, (ssItem @ sk6),
% 6.21/1.51 inference('cnf.neg', [status(esa)], [co1_8])).
% 6.21/1.51 thf(zip_derived_cl192, plain, ( (ssItem @ sk6)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.21/1.51 thf(zip_derived_cl1994, plain,
% 6.21/1.51 (((app @ (app @ sk7 @ (cons @ sk5 @ (cons @ sk6 @ nil))) @ sk8) = (sk1))),
% 6.21/1.51 inference('demod', [status(thm)],
% 6.21/1.51 [zip_derived_cl1993, zip_derived_cl7, zip_derived_cl192])).
% 6.21/1.51 thf(zip_derived_cl148, plain,
% 6.21/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.21/1.51 (~ (ssList @ X0)
% 6.21/1.51 | ~ (ssList @ X1)
% 6.21/1.51 | ~ (ssList @ X2)
% 6.21/1.51 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 6.21/1.51 inference('cnf', [status(esa)], [clause149])).
% 6.21/1.51 thf(zip_derived_cl2016, plain,
% 6.21/1.51 ((~ (ssList @ sk8)
% 6.21/1.51 | ~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 6.21/1.51 | ~ (ssList @ sk7)
% 6.21/1.51 | ((sk1)
% 6.21/1.51 = (app @ sk7 @ (app @ (cons @ sk5 @ (cons @ sk6 @ nil)) @ sk8))))),
% 6.21/1.51 inference('s_sup+', [status(thm)],
% 6.21/1.51 [zip_derived_cl1994, zip_derived_cl148])).
% 6.21/1.51 thf(co1_10, conjecture, (~( ssList @ sk8 ))).
% 6.21/1.51 thf(zf_stmt_4, negated_conjecture, (ssList @ sk8),
% 6.21/1.51 inference('cnf.neg', [status(esa)], [co1_10])).
% 6.21/1.51 thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.21/1.51 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.21/1.51 thf(zip_derived_cl2039, plain,
% 6.21/1.51 ((~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 6.21/1.51 | ((sk1)
% 6.21/1.51 = (app @ sk7 @ (app @ (cons @ sk5 @ (cons @ sk6 @ nil)) @ sk8))))),
% 6.21/1.51 inference('demod', [status(thm)],
% 6.21/1.51 [zip_derived_cl2016, zip_derived_cl194, zip_derived_cl193])).
% 6.21/1.51 thf(zip_derived_cl2227, plain,
% 6.21/1.51 ((~ (ssList @ sk8)
% 6.21/1.51 | ~ (ssList @ (cons @ sk6 @ nil))
% 6.21/1.51 | ~ (ssItem @ sk5)
% 6.21/1.51 | ~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 6.21/1.51 | ((sk1)
% 6.21/1.51 = (app @ sk7 @ (cons @ sk5 @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 6.21/1.51 inference('s_sup+', [status(thm)],
% 6.21/1.51 [zip_derived_cl156, zip_derived_cl2039])).
% 6.21/1.51 thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.21/1.51 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.21/1.51 thf(zip_derived_cl2228, plain,
% 6.21/1.51 ((~ (ssList @ (cons @ sk6 @ nil))
% 6.21/1.51 | ~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 6.21/1.51 | ((sk1)
% 6.21/1.51 = (app @ sk7 @ (cons @ sk5 @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 6.21/1.51 inference('demod', [status(thm)],
% 6.21/1.51 [zip_derived_cl2227, zip_derived_cl194, zip_derived_cl191])).
% 6.21/1.51 thf(zip_derived_cl3962, plain,
% 6.21/1.51 ((~ (ssList @ nil)
% 6.21/1.51 | ~ (ssItem @ sk6)
% 6.21/1.51 | ~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 6.21/1.51 | ((sk1)
% 6.21/1.51 = (app @ sk7 @ (cons @ sk5 @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 6.21/1.51 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2228])).
% 6.21/1.51 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 6.21/1.51 inference('cnf', [status(esa)], [clause8])).
% 6.21/1.51 thf(zip_derived_cl192, plain, ( (ssItem @ sk6)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.21/1.51 thf(zip_derived_cl3965, plain,
% 6.21/1.51 ((~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 6.21/1.51 | ((sk1)
% 6.21/1.51 = (app @ sk7 @ (cons @ sk5 @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 6.21/1.51 inference('demod', [status(thm)],
% 6.21/1.51 [zip_derived_cl3962, zip_derived_cl7, zip_derived_cl192])).
% 6.21/1.51 thf(zip_derived_cl3998, plain,
% 6.21/1.51 ((~ (ssList @ sk8)
% 6.21/1.51 | ~ (ssItem @ sk6)
% 6.21/1.51 | ~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 6.21/1.51 | ((sk1) = (app @ sk7 @ (cons @ sk5 @ (cons @ sk6 @ sk8)))))),
% 6.21/1.51 inference('s_sup+', [status(thm)],
% 6.21/1.51 [zip_derived_cl119, zip_derived_cl3965])).
% 6.21/1.51 thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.21/1.51 thf(zip_derived_cl192, plain, ( (ssItem @ sk6)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.21/1.51 thf(zip_derived_cl4000, plain,
% 6.21/1.51 ((~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 6.21/1.51 | ((sk1) = (app @ sk7 @ (cons @ sk5 @ (cons @ sk6 @ sk8)))))),
% 6.21/1.51 inference('demod', [status(thm)],
% 6.21/1.51 [zip_derived_cl3998, zip_derived_cl194, zip_derived_cl192])).
% 6.21/1.51 thf(clause180, axiom,
% 6.21/1.51 (( ( app @ U @ ( cons @ V @ ( cons @ W @ X ) ) ) != ( Y ) ) |
% 6.21/1.51 ( ~( ssList @ X ) ) | ( ~( ssList @ U ) ) | ( ~( ssItem @ W ) ) |
% 6.21/1.51 ( ~( ssItem @ V ) ) | ( ~( equalelemsP @ Y ) ) | ( ~( ssList @ Y ) ) |
% 6.21/1.51 ( ( V ) = ( W ) ))).
% 6.21/1.51 thf(zip_derived_cl179, plain,
% 6.21/1.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.21/1.51 (((app @ X1 @ (cons @ X2 @ (cons @ X3 @ X4))) != (X0))
% 6.21/1.51 | ~ (ssList @ X4)
% 6.21/1.51 | ~ (ssList @ X1)
% 6.21/1.51 | ~ (ssItem @ X3)
% 6.21/1.51 | ~ (ssItem @ X2)
% 6.21/1.51 | ~ (equalelemsP @ X0)
% 6.21/1.51 | ~ (ssList @ X0)
% 6.21/1.51 | ((X2) = (X3)))),
% 6.21/1.51 inference('cnf', [status(esa)], [clause180])).
% 6.21/1.51 thf(zip_derived_cl4058, plain,
% 6.21/1.51 (![X0 : $i]:
% 6.21/1.51 (~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 6.21/1.51 | ((sk1) != (X0))
% 6.21/1.51 | ~ (ssList @ sk8)
% 6.21/1.51 | ~ (ssList @ sk7)
% 6.21/1.51 | ~ (ssItem @ sk6)
% 6.21/1.51 | ~ (ssItem @ sk5)
% 6.21/1.51 | ~ (equalelemsP @ X0)
% 6.21/1.51 | ~ (ssList @ X0)
% 6.21/1.51 | ((sk5) = (sk6)))),
% 6.21/1.51 inference('s_sup-', [status(thm)],
% 6.21/1.51 [zip_derived_cl4000, zip_derived_cl179])).
% 6.21/1.51 thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.21/1.51 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.21/1.51 thf(zip_derived_cl192, plain, ( (ssItem @ sk6)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.21/1.51 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.21/1.51 thf(zip_derived_cl4088, plain,
% 6.21/1.51 (![X0 : $i]:
% 6.21/1.51 (~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 6.21/1.51 | ((sk1) != (X0))
% 6.21/1.51 | ~ (equalelemsP @ X0)
% 6.21/1.51 | ~ (ssList @ X0)
% 6.21/1.51 | ((sk5) = (sk6)))),
% 6.21/1.51 inference('demod', [status(thm)],
% 6.21/1.51 [zip_derived_cl4058, zip_derived_cl194, zip_derived_cl193,
% 6.21/1.51 zip_derived_cl192, zip_derived_cl191])).
% 6.21/1.51 thf(co1_12, conjecture, (( sk5 ) = ( sk6 ))).
% 6.21/1.51 thf(zf_stmt_5, negated_conjecture, (( sk5 ) != ( sk6 )),
% 6.21/1.51 inference('cnf.neg', [status(esa)], [co1_12])).
% 6.21/1.51 thf(zip_derived_cl196, plain, (((sk5) != (sk6))),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.21/1.51 thf(zip_derived_cl4089, plain,
% 6.21/1.51 (![X0 : $i]:
% 6.21/1.51 (~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 6.21/1.51 | ((sk1) != (X0))
% 6.21/1.51 | ~ (equalelemsP @ X0)
% 6.21/1.51 | ~ (ssList @ X0))),
% 6.21/1.51 inference('simplify_reflect-', [status(thm)],
% 6.21/1.51 [zip_derived_cl4088, zip_derived_cl196])).
% 6.21/1.51 thf(zip_derived_cl4097, plain,
% 6.21/1.51 (![X0 : $i]:
% 6.21/1.51 (~ (ssList @ (cons @ sk6 @ nil))
% 6.21/1.51 | ~ (ssItem @ sk5)
% 6.21/1.51 | ((sk1) != (X0))
% 6.21/1.51 | ~ (equalelemsP @ X0)
% 6.21/1.51 | ~ (ssList @ X0))),
% 6.21/1.51 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl4089])).
% 6.21/1.51 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.21/1.51 thf(zip_derived_cl4098, plain,
% 6.21/1.51 (![X0 : $i]:
% 6.21/1.51 (~ (ssList @ (cons @ sk6 @ nil))
% 6.21/1.51 | ((sk1) != (X0))
% 6.21/1.51 | ~ (equalelemsP @ X0)
% 6.21/1.51 | ~ (ssList @ X0))),
% 6.21/1.51 inference('demod', [status(thm)], [zip_derived_cl4097, zip_derived_cl191])).
% 6.21/1.51 thf(zip_derived_cl4099, plain,
% 6.21/1.51 (![X0 : $i]:
% 6.21/1.51 (~ (ssList @ nil)
% 6.21/1.51 | ~ (ssItem @ sk6)
% 6.21/1.51 | ((sk1) != (X0))
% 6.21/1.51 | ~ (equalelemsP @ X0)
% 6.21/1.51 | ~ (ssList @ X0))),
% 6.21/1.51 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl4098])).
% 6.21/1.51 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 6.21/1.51 inference('cnf', [status(esa)], [clause8])).
% 6.21/1.51 thf(zip_derived_cl192, plain, ( (ssItem @ sk6)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.21/1.51 thf(zip_derived_cl4100, plain,
% 6.21/1.51 (![X0 : $i]: (((sk1) != (X0)) | ~ (equalelemsP @ X0) | ~ (ssList @ X0))),
% 6.21/1.51 inference('demod', [status(thm)],
% 6.21/1.51 [zip_derived_cl4099, zip_derived_cl7, zip_derived_cl192])).
% 6.21/1.51 thf(zip_derived_cl4101, plain, ((~ (ssList @ sk1) | ~ (equalelemsP @ sk1))),
% 6.21/1.51 inference('eq_res', [status(thm)], [zip_derived_cl4100])).
% 6.21/1.51 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 6.21/1.51 thf(zf_stmt_6, negated_conjecture, (ssList @ sk1),
% 6.21/1.51 inference('cnf.neg', [status(esa)], [co1_1])).
% 6.21/1.51 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_6])).
% 6.21/1.51 thf(zip_derived_cl4102, plain, (~ (equalelemsP @ sk1)),
% 6.21/1.51 inference('demod', [status(thm)], [zip_derived_cl4101, zip_derived_cl185])).
% 6.21/1.51 thf(co1_18, conjecture,
% 6.21/1.51 (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk9 @ nil ) = ( sk3 ) ) ))).
% 6.21/1.51 thf(zf_stmt_7, negated_conjecture,
% 6.21/1.51 (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk9 @ nil ) = ( sk3 ) )),
% 6.21/1.51 inference('cnf.neg', [status(esa)], [co1_18])).
% 6.21/1.51 thf(zip_derived_cl202, plain,
% 6.21/1.51 ((((nil) = (sk3)) | ((cons @ sk9 @ nil) = (sk3)))),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.21/1.51 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 6.21/1.51 thf(zf_stmt_8, negated_conjecture, (( sk1 ) = ( sk3 )),
% 6.21/1.51 inference('cnf.neg', [status(esa)], [co1_6])).
% 6.21/1.51 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_8])).
% 6.21/1.51 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_8])).
% 6.21/1.51 thf(zip_derived_cl206, plain,
% 6.21/1.51 ((((nil) = (sk1)) | ((cons @ sk9 @ nil) = (sk1)))),
% 6.21/1.51 inference('demod', [status(thm)],
% 6.21/1.51 [zip_derived_cl202, zip_derived_cl190, zip_derived_cl190])).
% 6.21/1.51 thf(clause64, axiom,
% 6.21/1.51 (( ~( ssItem @ U ) ) | ( equalelemsP @ ( cons @ U @ nil ) ))).
% 6.21/1.51 thf(zip_derived_cl63, plain,
% 6.21/1.51 (![X0 : $i]: (~ (ssItem @ X0) | (equalelemsP @ (cons @ X0 @ nil)))),
% 6.21/1.51 inference('cnf', [status(esa)], [clause64])).
% 6.21/1.51 thf(zip_derived_cl246, plain,
% 6.21/1.51 ((((nil) = (sk1)) | ~ (ssItem @ sk9) | (equalelemsP @ sk1))),
% 6.21/1.51 inference('s_sup+', [status(thm)], [zip_derived_cl206, zip_derived_cl63])).
% 6.21/1.51 thf(co1_14, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk9 ) ))).
% 6.21/1.51 thf(zf_stmt_9, negated_conjecture,
% 6.21/1.51 (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk9 )),
% 6.21/1.51 inference('cnf.neg', [status(esa)], [co1_14])).
% 6.21/1.51 thf(zip_derived_cl198, plain, ((((nil) = (sk3)) | (ssItem @ sk9))),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.21/1.51 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 6.21/1.51 inference('cnf', [status(esa)], [zf_stmt_8])).
% 6.21/1.51 thf(zip_derived_cl210, plain, ((((nil) = (sk1)) | (ssItem @ sk9))),
% 6.21/1.51 inference('demod', [status(thm)], [zip_derived_cl198, zip_derived_cl190])).
% 6.21/1.51 thf(zip_derived_cl250, plain, (( (equalelemsP @ sk1) | ((nil) = (sk1)))),
% 6.21/1.51 inference('clc', [status(thm)], [zip_derived_cl246, zip_derived_cl210])).
% 6.21/1.51 thf(zip_derived_cl4102, plain, (~ (equalelemsP @ sk1)),
% 6.21/1.51 inference('demod', [status(thm)], [zip_derived_cl4101, zip_derived_cl185])).
% 6.21/1.51 thf(zip_derived_cl4104, plain, (((nil) = (sk1))),
% 6.21/1.51 inference('s_sup-', [status(thm)],
% 6.21/1.51 [zip_derived_cl250, zip_derived_cl4102])).
% 6.21/1.51 thf(clause1, axiom, (equalelemsP @ nil)).
% 6.21/1.51 thf(zip_derived_cl0, plain, ( (equalelemsP @ nil)),
% 6.21/1.51 inference('cnf', [status(esa)], [clause1])).
% 6.21/1.51 thf(zip_derived_cl4151, plain, ($false),
% 6.21/1.51 inference('demod', [status(thm)],
% 6.21/1.51 [zip_derived_cl4102, zip_derived_cl4104, zip_derived_cl0])).
% 6.21/1.51
% 6.21/1.51 % SZS output end Refutation
% 6.21/1.51
% 6.21/1.51
% 6.21/1.51 % Terminating...
% 6.21/1.58 % Runner terminated.
% 6.21/1.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------