%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC191-1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.t5k0Yv56hL true
% Computer : n013.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 Oct 2 04:58:55 PM UTC 2025
% Result : Unsatisfiable 5.47s 1.40s
% Output : Refutation 5.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SWC191-1 : TPTP v9.2.0. Released v2.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.t5k0Yv56hL true
% 0.12/0.32 % Computer : n013.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Oct 1 17:13:08 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.47/0.59 % Total configuration time : 435
% 0.47/0.59 % Estimated wc time : 1092
% 0.47/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.47/1.40 % Solved by fo/fo13.sh.
% 5.47/1.40 % done 546 iterations in 0.664s
% 5.47/1.40 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.47/1.40 % SZS output start Refutation
% 5.47/1.40 thf(nil_type, type, nil: $i).
% 5.47/1.40 thf(cons_type, type, cons: $i > $i > $i).
% 5.47/1.40 thf(sk8_type, type, sk8: $i).
% 5.47/1.40 thf(sk7_type, type, sk7: $i).
% 5.47/1.40 thf(sk5_type, type, sk5: $i).
% 5.47/1.40 thf(equalelemsP_type, type, equalelemsP: $i > $o).
% 5.47/1.40 thf(ssItem_type, type, ssItem: $i > $o).
% 5.47/1.40 thf(sk3_type, type, sk3: $i).
% 5.47/1.40 thf(app_type, type, app: $i > $i > $i).
% 5.47/1.40 thf(ssList_type, type, ssList: $i > $o).
% 5.47/1.40 thf(sk6_type, type, sk6: $i).
% 5.47/1.40 thf(sk1_type, type, sk1: $i).
% 5.47/1.40 thf(clause86, axiom,
% 5.47/1.40 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 5.47/1.40 thf(zip_derived_cl85, plain,
% 5.47/1.40 (![X0 : $i, X1 : $i]:
% 5.47/1.40 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.47/1.40 inference('cnf', [status(esa)], [clause86])).
% 5.47/1.40 thf(zip_derived_cl85, plain,
% 5.47/1.40 (![X0 : $i, X1 : $i]:
% 5.47/1.40 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.47/1.40 inference('cnf', [status(esa)], [clause86])).
% 5.47/1.40 thf(clause120, axiom,
% 5.47/1.40 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 5.47/1.40 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 5.47/1.40 thf(zip_derived_cl119, plain,
% 5.47/1.40 (![X0 : $i, X1 : $i]:
% 5.47/1.40 (~ (ssItem @ X0)
% 5.47/1.40 | ~ (ssList @ X1)
% 5.47/1.40 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 5.47/1.40 inference('cnf', [status(esa)], [clause120])).
% 5.47/1.40 thf(zip_derived_cl85, plain,
% 5.47/1.40 (![X0 : $i, X1 : $i]:
% 5.47/1.40 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.47/1.40 inference('cnf', [status(esa)], [clause86])).
% 5.47/1.40 thf(clause157, axiom,
% 5.47/1.40 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 5.47/1.40 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 5.47/1.40 thf(zip_derived_cl156, plain,
% 5.47/1.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.47/1.40 (~ (ssItem @ X0)
% 5.47/1.40 | ~ (ssList @ X1)
% 5.47/1.40 | ~ (ssList @ X2)
% 5.47/1.40 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 5.47/1.40 inference('cnf', [status(esa)], [clause157])).
% 5.47/1.40 thf(zip_derived_cl85, plain,
% 5.47/1.40 (![X0 : $i, X1 : $i]:
% 5.47/1.40 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.47/1.40 inference('cnf', [status(esa)], [clause86])).
% 5.47/1.40 thf(zip_derived_cl119, plain,
% 5.47/1.40 (![X0 : $i, X1 : $i]:
% 5.47/1.40 (~ (ssItem @ X0)
% 5.47/1.40 | ~ (ssList @ X1)
% 5.47/1.40 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 5.47/1.40 inference('cnf', [status(esa)], [clause120])).
% 5.47/1.40 thf(zip_derived_cl85, plain,
% 5.47/1.40 (![X0 : $i, X1 : $i]:
% 5.47/1.40 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.47/1.40 inference('cnf', [status(esa)], [clause86])).
% 5.47/1.40 thf(clause149, axiom,
% 5.47/1.40 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 5.47/1.40 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 5.47/1.40 thf(zip_derived_cl148, plain,
% 5.47/1.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.47/1.40 (~ (ssList @ X0)
% 5.47/1.40 | ~ (ssList @ X1)
% 5.47/1.40 | ~ (ssList @ X2)
% 5.47/1.40 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 5.47/1.40 inference('cnf', [status(esa)], [clause149])).
% 5.47/1.40 thf(co1_14, conjecture,
% 5.47/1.40 (( app @
% 5.47/1.40 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ ( cons @ sk6 @ nil ) ) @
% 5.47/1.40 sk8 ) !=
% 5.47/1.40 ( sk1 ))).
% 5.47/1.40 thf(zf_stmt_0, negated_conjecture,
% 5.47/1.40 (( app @
% 5.47/1.40 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ ( cons @ sk6 @ nil ) ) @
% 5.47/1.40 sk8 ) =
% 5.47/1.40 ( sk1 )),
% 5.47/1.40 inference('cnf.neg', [status(esa)], [co1_14])).
% 5.47/1.40 thf(zip_derived_cl198, plain,
% 5.47/1.40 (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)) @
% 5.47/1.40 sk8) = (sk1))),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.47/1.40 thf(zip_derived_cl1327, plain,
% 5.47/1.40 ((~ (ssList @ sk7)
% 5.47/1.40 | ~ (ssList @ (cons @ sk5 @ nil))
% 5.47/1.40 | ~ (ssList @ (cons @ sk6 @ nil))
% 5.47/1.40 | ((app @
% 5.47/1.40 (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil))) @ sk8)
% 5.47/1.40 = (sk1)))),
% 5.47/1.40 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl198])).
% 5.47/1.40 thf(co1_12, conjecture, (~( ssList @ sk7 ))).
% 5.47/1.40 thf(zf_stmt_1, negated_conjecture, (ssList @ sk7),
% 5.47/1.40 inference('cnf.neg', [status(esa)], [co1_12])).
% 5.47/1.40 thf(zip_derived_cl196, plain, ( (ssList @ sk7)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.47/1.40 thf(zip_derived_cl1384, plain,
% 5.47/1.40 ((~ (ssList @ (cons @ sk5 @ nil))
% 5.47/1.40 | ~ (ssList @ (cons @ sk6 @ nil))
% 5.47/1.40 | ((app @
% 5.47/1.40 (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil))) @ sk8)
% 5.47/1.40 = (sk1)))),
% 5.47/1.40 inference('demod', [status(thm)], [zip_derived_cl1327, zip_derived_cl196])).
% 5.47/1.40 thf(zip_derived_cl1563, plain,
% 5.47/1.40 ((~ (ssList @ nil)
% 5.47/1.40 | ~ (ssItem @ sk5)
% 5.47/1.40 | ~ (ssList @ (cons @ sk6 @ nil))
% 5.47/1.40 | ((app @
% 5.47/1.40 (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil))) @ sk8)
% 5.47/1.40 = (sk1)))),
% 5.47/1.40 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1384])).
% 5.47/1.40 thf(clause8, axiom, (ssList @ nil)).
% 5.47/1.40 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.47/1.40 inference('cnf', [status(esa)], [clause8])).
% 5.47/1.40 thf(co1_10, conjecture, (~( ssItem @ sk5 ))).
% 5.47/1.40 thf(zf_stmt_2, negated_conjecture, (ssItem @ sk5),
% 5.47/1.40 inference('cnf.neg', [status(esa)], [co1_10])).
% 5.47/1.40 thf(zip_derived_cl194, plain, ( (ssItem @ sk5)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.47/1.40 thf(zip_derived_cl1566, plain,
% 5.47/1.40 ((~ (ssList @ (cons @ sk6 @ nil))
% 5.47/1.40 | ((app @
% 5.47/1.40 (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil))) @ sk8)
% 5.47/1.40 = (sk1)))),
% 5.47/1.40 inference('demod', [status(thm)],
% 5.47/1.40 [zip_derived_cl1563, zip_derived_cl7, zip_derived_cl194])).
% 5.47/1.40 thf(zip_derived_cl1573, plain,
% 5.47/1.40 ((~ (ssList @ (cons @ sk6 @ nil))
% 5.47/1.40 | ~ (ssItem @ sk5)
% 5.47/1.40 | ~ (ssList @ (cons @ sk6 @ nil))
% 5.47/1.40 | ((app @ (app @ sk7 @ (cons @ sk5 @ (cons @ sk6 @ nil))) @ sk8)
% 5.47/1.40 = (sk1)))),
% 5.47/1.40 inference('s_sup+', [status(thm)],
% 5.47/1.40 [zip_derived_cl119, zip_derived_cl1566])).
% 5.47/1.40 thf(zip_derived_cl194, plain, ( (ssItem @ sk5)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.47/1.40 thf(zip_derived_cl1577, plain,
% 5.47/1.40 ((~ (ssList @ (cons @ sk6 @ nil))
% 5.47/1.40 | ~ (ssList @ (cons @ sk6 @ nil))
% 5.47/1.40 | ((app @ (app @ sk7 @ (cons @ sk5 @ (cons @ sk6 @ nil))) @ sk8)
% 5.47/1.40 = (sk1)))),
% 5.47/1.40 inference('demod', [status(thm)], [zip_derived_cl1573, zip_derived_cl194])).
% 5.47/1.40 thf(zip_derived_cl1578, plain,
% 5.47/1.40 ((((app @ (app @ sk7 @ (cons @ sk5 @ (cons @ sk6 @ nil))) @ sk8) = (sk1))
% 5.47/1.40 | ~ (ssList @ (cons @ sk6 @ nil)))),
% 5.47/1.40 inference('simplify', [status(thm)], [zip_derived_cl1577])).
% 5.47/1.40 thf(zip_derived_cl1708, plain,
% 5.47/1.40 ((~ (ssList @ nil)
% 5.47/1.40 | ~ (ssItem @ sk6)
% 5.47/1.40 | ((app @ (app @ sk7 @ (cons @ sk5 @ (cons @ sk6 @ nil))) @ sk8)
% 5.47/1.40 = (sk1)))),
% 5.47/1.40 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1578])).
% 5.47/1.40 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.47/1.40 inference('cnf', [status(esa)], [clause8])).
% 5.47/1.40 thf(co1_11, conjecture, (~( ssItem @ sk6 ))).
% 5.47/1.40 thf(zf_stmt_3, negated_conjecture, (ssItem @ sk6),
% 5.47/1.40 inference('cnf.neg', [status(esa)], [co1_11])).
% 5.47/1.40 thf(zip_derived_cl195, plain, ( (ssItem @ sk6)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.47/1.40 thf(zip_derived_cl1709, plain,
% 5.47/1.40 (((app @ (app @ sk7 @ (cons @ sk5 @ (cons @ sk6 @ nil))) @ sk8) = (sk1))),
% 5.47/1.40 inference('demod', [status(thm)],
% 5.47/1.40 [zip_derived_cl1708, zip_derived_cl7, zip_derived_cl195])).
% 5.47/1.40 thf(zip_derived_cl148, plain,
% 5.47/1.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.47/1.40 (~ (ssList @ X0)
% 5.47/1.40 | ~ (ssList @ X1)
% 5.47/1.40 | ~ (ssList @ X2)
% 5.47/1.40 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 5.47/1.40 inference('cnf', [status(esa)], [clause149])).
% 5.47/1.40 thf(zip_derived_cl1728, plain,
% 5.47/1.40 ((~ (ssList @ sk8)
% 5.47/1.40 | ~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 5.47/1.40 | ~ (ssList @ sk7)
% 5.47/1.40 | ((sk1)
% 5.47/1.40 = (app @ sk7 @ (app @ (cons @ sk5 @ (cons @ sk6 @ nil)) @ sk8))))),
% 5.47/1.40 inference('s_sup+', [status(thm)],
% 5.47/1.40 [zip_derived_cl1709, zip_derived_cl148])).
% 5.47/1.40 thf(co1_13, conjecture, (~( ssList @ sk8 ))).
% 5.47/1.40 thf(zf_stmt_4, negated_conjecture, (ssList @ sk8),
% 5.47/1.40 inference('cnf.neg', [status(esa)], [co1_13])).
% 5.47/1.40 thf(zip_derived_cl197, plain, ( (ssList @ sk8)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.47/1.40 thf(zip_derived_cl196, plain, ( (ssList @ sk7)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.47/1.40 thf(zip_derived_cl1747, plain,
% 5.47/1.40 ((~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 5.47/1.40 | ((sk1)
% 5.47/1.40 = (app @ sk7 @ (app @ (cons @ sk5 @ (cons @ sk6 @ nil)) @ sk8))))),
% 5.47/1.40 inference('demod', [status(thm)],
% 5.47/1.40 [zip_derived_cl1728, zip_derived_cl197, zip_derived_cl196])).
% 5.47/1.40 thf(zip_derived_cl1794, plain,
% 5.47/1.40 ((~ (ssList @ sk8)
% 5.47/1.40 | ~ (ssList @ (cons @ sk6 @ nil))
% 5.47/1.40 | ~ (ssItem @ sk5)
% 5.47/1.40 | ~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 5.47/1.40 | ((sk1)
% 5.47/1.40 = (app @ sk7 @ (cons @ sk5 @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 5.47/1.40 inference('s_sup+', [status(thm)],
% 5.47/1.40 [zip_derived_cl156, zip_derived_cl1747])).
% 5.47/1.40 thf(zip_derived_cl197, plain, ( (ssList @ sk8)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.47/1.40 thf(zip_derived_cl194, plain, ( (ssItem @ sk5)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.47/1.40 thf(zip_derived_cl1795, plain,
% 5.47/1.40 ((~ (ssList @ (cons @ sk6 @ nil))
% 5.47/1.40 | ~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 5.47/1.40 | ((sk1)
% 5.47/1.40 = (app @ sk7 @ (cons @ sk5 @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 5.47/1.40 inference('demod', [status(thm)],
% 5.47/1.40 [zip_derived_cl1794, zip_derived_cl197, zip_derived_cl194])).
% 5.47/1.40 thf(zip_derived_cl2422, plain,
% 5.47/1.40 ((~ (ssList @ nil)
% 5.47/1.40 | ~ (ssItem @ sk6)
% 5.47/1.40 | ~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 5.47/1.40 | ((sk1)
% 5.47/1.40 = (app @ sk7 @ (cons @ sk5 @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 5.47/1.40 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1795])).
% 5.47/1.40 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.47/1.40 inference('cnf', [status(esa)], [clause8])).
% 5.47/1.40 thf(zip_derived_cl195, plain, ( (ssItem @ sk6)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.47/1.40 thf(zip_derived_cl2425, plain,
% 5.47/1.40 ((~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 5.47/1.40 | ((sk1)
% 5.47/1.40 = (app @ sk7 @ (cons @ sk5 @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 5.47/1.40 inference('demod', [status(thm)],
% 5.47/1.40 [zip_derived_cl2422, zip_derived_cl7, zip_derived_cl195])).
% 5.47/1.40 thf(zip_derived_cl2449, plain,
% 5.47/1.40 ((~ (ssList @ sk8)
% 5.47/1.40 | ~ (ssItem @ sk6)
% 5.47/1.40 | ~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 5.47/1.40 | ((sk1) = (app @ sk7 @ (cons @ sk5 @ (cons @ sk6 @ sk8)))))),
% 5.47/1.40 inference('s_sup+', [status(thm)],
% 5.47/1.40 [zip_derived_cl119, zip_derived_cl2425])).
% 5.47/1.40 thf(zip_derived_cl197, plain, ( (ssList @ sk8)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.47/1.40 thf(zip_derived_cl195, plain, ( (ssItem @ sk6)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.47/1.40 thf(zip_derived_cl2451, plain,
% 5.47/1.40 ((~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 5.47/1.40 | ((sk1) = (app @ sk7 @ (cons @ sk5 @ (cons @ sk6 @ sk8)))))),
% 5.47/1.40 inference('demod', [status(thm)],
% 5.47/1.40 [zip_derived_cl2449, zip_derived_cl197, zip_derived_cl195])).
% 5.47/1.40 thf(clause180, axiom,
% 5.47/1.40 (( ( app @ U @ ( cons @ V @ ( cons @ W @ X ) ) ) != ( Y ) ) |
% 5.47/1.40 ( ~( ssList @ X ) ) | ( ~( ssList @ U ) ) | ( ~( ssItem @ W ) ) |
% 5.47/1.40 ( ~( ssItem @ V ) ) | ( ~( equalelemsP @ Y ) ) | ( ~( ssList @ Y ) ) |
% 5.47/1.40 ( ( V ) = ( W ) ))).
% 5.47/1.40 thf(zip_derived_cl179, plain,
% 5.47/1.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.47/1.40 (((app @ X1 @ (cons @ X2 @ (cons @ X3 @ X4))) != (X0))
% 5.47/1.40 | ~ (ssList @ X4)
% 5.47/1.40 | ~ (ssList @ X1)
% 5.47/1.40 | ~ (ssItem @ X3)
% 5.47/1.40 | ~ (ssItem @ X2)
% 5.47/1.40 | ~ (equalelemsP @ X0)
% 5.47/1.40 | ~ (ssList @ X0)
% 5.47/1.40 | ((X2) = (X3)))),
% 5.47/1.40 inference('cnf', [status(esa)], [clause180])).
% 5.47/1.40 thf(zip_derived_cl2879, plain,
% 5.47/1.40 (![X0 : $i]:
% 5.47/1.40 (~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 5.47/1.40 | ((sk1) != (X0))
% 5.47/1.40 | ~ (ssList @ sk8)
% 5.47/1.40 | ~ (ssList @ sk7)
% 5.47/1.40 | ~ (ssItem @ sk6)
% 5.47/1.40 | ~ (ssItem @ sk5)
% 5.47/1.40 | ~ (equalelemsP @ X0)
% 5.47/1.40 | ~ (ssList @ X0)
% 5.47/1.40 | ((sk5) = (sk6)))),
% 5.47/1.40 inference('s_sup-', [status(thm)],
% 5.47/1.40 [zip_derived_cl2451, zip_derived_cl179])).
% 5.47/1.40 thf(zip_derived_cl197, plain, ( (ssList @ sk8)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.47/1.40 thf(zip_derived_cl196, plain, ( (ssList @ sk7)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.47/1.40 thf(zip_derived_cl195, plain, ( (ssItem @ sk6)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.47/1.40 thf(zip_derived_cl194, plain, ( (ssItem @ sk5)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.47/1.40 thf(zip_derived_cl2889, plain,
% 5.47/1.40 (![X0 : $i]:
% 5.47/1.40 (~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 5.47/1.40 | ((sk1) != (X0))
% 5.47/1.40 | ~ (equalelemsP @ X0)
% 5.47/1.40 | ~ (ssList @ X0)
% 5.47/1.40 | ((sk5) = (sk6)))),
% 5.47/1.40 inference('demod', [status(thm)],
% 5.47/1.40 [zip_derived_cl2879, zip_derived_cl197, zip_derived_cl196,
% 5.47/1.40 zip_derived_cl195, zip_derived_cl194])).
% 5.47/1.40 thf(co1_15, conjecture, (( sk5 ) = ( sk6 ))).
% 5.47/1.40 thf(zf_stmt_5, negated_conjecture, (( sk5 ) != ( sk6 )),
% 5.47/1.40 inference('cnf.neg', [status(esa)], [co1_15])).
% 5.47/1.40 thf(zip_derived_cl199, plain, (((sk5) != (sk6))),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_5])).
% 5.47/1.40 thf(zip_derived_cl2890, plain,
% 5.47/1.40 (![X0 : $i]:
% 5.47/1.40 (~ (ssList @ (cons @ sk5 @ (cons @ sk6 @ nil)))
% 5.47/1.40 | ((sk1) != (X0))
% 5.47/1.40 | ~ (equalelemsP @ X0)
% 5.47/1.40 | ~ (ssList @ X0))),
% 5.47/1.40 inference('simplify_reflect-', [status(thm)],
% 5.47/1.40 [zip_derived_cl2889, zip_derived_cl199])).
% 5.47/1.40 thf(zip_derived_cl2893, plain,
% 5.47/1.40 (![X0 : $i]:
% 5.47/1.40 (~ (ssList @ (cons @ sk6 @ nil))
% 5.47/1.40 | ~ (ssItem @ sk5)
% 5.47/1.40 | ((sk1) != (X0))
% 5.47/1.40 | ~ (equalelemsP @ X0)
% 5.47/1.40 | ~ (ssList @ X0))),
% 5.47/1.40 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2890])).
% 5.47/1.40 thf(zip_derived_cl194, plain, ( (ssItem @ sk5)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.47/1.40 thf(zip_derived_cl2894, plain,
% 5.47/1.40 (![X0 : $i]:
% 5.47/1.40 (~ (ssList @ (cons @ sk6 @ nil))
% 5.47/1.40 | ((sk1) != (X0))
% 5.47/1.40 | ~ (equalelemsP @ X0)
% 5.47/1.40 | ~ (ssList @ X0))),
% 5.47/1.40 inference('demod', [status(thm)], [zip_derived_cl2893, zip_derived_cl194])).
% 5.47/1.40 thf(zip_derived_cl2895, plain,
% 5.47/1.40 (![X0 : $i]:
% 5.47/1.40 (~ (ssList @ nil)
% 5.47/1.40 | ~ (ssItem @ sk6)
% 5.47/1.40 | ((sk1) != (X0))
% 5.47/1.40 | ~ (equalelemsP @ X0)
% 5.47/1.40 | ~ (ssList @ X0))),
% 5.47/1.40 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2894])).
% 5.47/1.40 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.47/1.40 inference('cnf', [status(esa)], [clause8])).
% 5.47/1.40 thf(zip_derived_cl195, plain, ( (ssItem @ sk6)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.47/1.40 thf(zip_derived_cl2896, plain,
% 5.47/1.40 (![X0 : $i]: (((sk1) != (X0)) | ~ (equalelemsP @ X0) | ~ (ssList @ X0))),
% 5.47/1.40 inference('demod', [status(thm)],
% 5.47/1.40 [zip_derived_cl2895, zip_derived_cl7, zip_derived_cl195])).
% 5.47/1.40 thf(zip_derived_cl2897, plain, ((~ (ssList @ sk1) | ~ (equalelemsP @ sk1))),
% 5.47/1.40 inference('eq_res', [status(thm)], [zip_derived_cl2896])).
% 5.47/1.40 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 5.47/1.40 thf(zf_stmt_6, negated_conjecture, (ssList @ sk1),
% 5.47/1.40 inference('cnf.neg', [status(esa)], [co1_1])).
% 5.47/1.40 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.47/1.40 thf(co1_8, conjecture, (~( equalelemsP @ sk3 ))).
% 5.47/1.40 thf(zf_stmt_7, negated_conjecture, (equalelemsP @ sk3),
% 5.47/1.40 inference('cnf.neg', [status(esa)], [co1_8])).
% 5.47/1.40 thf(zip_derived_cl192, plain, ( (equalelemsP @ sk3)),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.47/1.40 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 5.47/1.40 thf(zf_stmt_8, negated_conjecture, (( sk1 ) = ( sk3 )),
% 5.47/1.40 inference('cnf.neg', [status(esa)], [co1_6])).
% 5.47/1.40 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 5.47/1.40 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.47/1.40 thf(zip_derived_cl202, plain, ( (equalelemsP @ sk1)),
% 5.47/1.40 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl190])).
% 5.47/1.40 thf(zip_derived_cl2898, plain, ($false),
% 5.47/1.40 inference('demod', [status(thm)],
% 5.47/1.40 [zip_derived_cl2897, zip_derived_cl185, zip_derived_cl202])).
% 5.47/1.40
% 5.47/1.40 % SZS output end Refutation
% 5.47/1.40
% 5.47/1.40
% 5.47/1.41 % Terminating...
% 6.05/1.52 % Runner terminated.
% 6.08/1.54 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------