TSTP Solution File: SWC378-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC378-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.q96e2sm5hr true
% Computer : n011.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 21:31:09 EDT 2023
% Result : Unsatisfiable 8.72s 1.91s
% Output : Refutation 8.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC378-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.q96e2sm5hr true
% 0.14/0.34 % Computer : n011.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 19:00:26 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.08/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.08/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.08/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.08/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.08/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.72/1.91 % Solved by fo/fo13.sh.
% 8.72/1.91 % done 1517 iterations in 1.146s
% 8.72/1.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.72/1.91 % SZS output start Refutation
% 8.72/1.91 thf(sk2_type, type, sk2: $i).
% 8.72/1.91 thf(sk6_type, type, sk6: $i).
% 8.72/1.91 thf(sk4_type, type, sk4: $i).
% 8.72/1.91 thf(memberP_type, type, memberP: $i > $i > $o).
% 8.72/1.91 thf(ssItem_type, type, ssItem: $i > $o).
% 8.72/1.91 thf(sk5_type, type, sk5: $i).
% 8.72/1.91 thf(sk3_type, type, sk3: $i).
% 8.72/1.91 thf(app_type, type, app: $i > $i > $i).
% 8.72/1.91 thf(ssList_type, type, ssList: $i > $o).
% 8.72/1.91 thf(sk7_type, type, sk7: $i).
% 8.72/1.91 thf(sk1_type, type, sk1: $i).
% 8.72/1.91 thf(co1_13, conjecture,
% 8.72/1.91 (~( ( ~( memberP @ sk1 @ sk7 ) ) | ( ~( memberP @ sk2 @ sk7 ) ) ))).
% 8.72/1.91 thf(zf_stmt_0, negated_conjecture,
% 8.72/1.91 (( ~( memberP @ sk1 @ sk7 ) ) | ( ~( memberP @ sk2 @ sk7 ) )),
% 8.72/1.91 inference('cnf.neg', [status(esa)], [co1_13])).
% 8.72/1.91 thf(zip_derived_cl197, plain,
% 8.72/1.91 ((~ (memberP @ sk1 @ sk7) | ~ (memberP @ sk2 @ sk7))),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.72/1.91 thf(co1_12, conjecture,
% 8.72/1.91 (~( ( memberP @ sk1 @ sk7 ) | ( memberP @ sk2 @ sk7 ) ))).
% 8.72/1.91 thf(zf_stmt_1, negated_conjecture,
% 8.72/1.91 (( memberP @ sk1 @ sk7 ) | ( memberP @ sk2 @ sk7 )),
% 8.72/1.91 inference('cnf.neg', [status(esa)], [co1_12])).
% 8.72/1.91 thf(zip_derived_cl196, plain,
% 8.72/1.91 (( (memberP @ sk1 @ sk7) | (memberP @ sk2 @ sk7))),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.72/1.91 thf(co1_9, conjecture, (( app @ sk5 @ sk6 ) != ( sk4 ))).
% 8.72/1.91 thf(zf_stmt_2, negated_conjecture, (( app @ sk5 @ sk6 ) = ( sk4 )),
% 8.72/1.91 inference('cnf.neg', [status(esa)], [co1_9])).
% 8.72/1.91 thf(zip_derived_cl193, plain, (((app @ sk5 @ sk6) = (sk4))),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.72/1.91 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 8.72/1.91 thf(zf_stmt_3, negated_conjecture, (( sk2 ) = ( sk4 )),
% 8.72/1.91 inference('cnf.neg', [status(esa)], [co1_5])).
% 8.72/1.91 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.72/1.91 thf(zip_derived_cl198, plain, (((app @ sk5 @ sk6) = (sk2))),
% 8.72/1.91 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl189])).
% 8.72/1.91 thf(co1_10, conjecture, (( app @ sk6 @ sk5 ) != ( sk3 ))).
% 8.72/1.91 thf(zf_stmt_4, negated_conjecture, (( app @ sk6 @ sk5 ) = ( sk3 )),
% 8.72/1.91 inference('cnf.neg', [status(esa)], [co1_10])).
% 8.72/1.91 thf(zip_derived_cl194, plain, (((app @ sk6 @ sk5) = (sk3))),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.72/1.91 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 8.72/1.91 thf(zf_stmt_5, negated_conjecture, (( sk1 ) = ( sk3 )),
% 8.72/1.91 inference('cnf.neg', [status(esa)], [co1_6])).
% 8.72/1.91 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.72/1.91 thf(zip_derived_cl199, plain, (((app @ sk6 @ sk5) = (sk1))),
% 8.72/1.91 inference('demod', [status(thm)], [zip_derived_cl194, zip_derived_cl190])).
% 8.72/1.91 thf(clause149, axiom,
% 8.72/1.91 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 8.72/1.91 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 8.72/1.91 thf(zip_derived_cl148, plain,
% 8.72/1.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.72/1.91 (~ (ssList @ X0)
% 8.72/1.91 | ~ (ssList @ X1)
% 8.72/1.91 | ~ (ssList @ X2)
% 8.72/1.91 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 8.72/1.91 inference('cnf', [status(esa)], [clause149])).
% 8.72/1.91 thf(zip_derived_cl1475, plain,
% 8.72/1.91 (![X0 : $i]:
% 8.72/1.91 (~ (ssList @ X0)
% 8.72/1.91 | ~ (ssList @ sk5)
% 8.72/1.91 | ~ (ssList @ sk6)
% 8.72/1.91 | ((app @ sk1 @ X0) = (app @ sk6 @ (app @ sk5 @ X0))))),
% 8.72/1.91 inference('s_sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl148])).
% 8.72/1.91 thf(co1_7, conjecture, (~( ssList @ sk5 ))).
% 8.72/1.91 thf(zf_stmt_6, negated_conjecture, (ssList @ sk5),
% 8.72/1.91 inference('cnf.neg', [status(esa)], [co1_7])).
% 8.72/1.91 thf(zip_derived_cl191, plain, ( (ssList @ sk5)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.72/1.91 thf(co1_8, conjecture, (~( ssList @ sk6 ))).
% 8.72/1.91 thf(zf_stmt_7, negated_conjecture, (ssList @ sk6),
% 8.72/1.91 inference('cnf.neg', [status(esa)], [co1_8])).
% 8.72/1.91 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.72/1.91 thf(zip_derived_cl1488, plain,
% 8.72/1.91 (![X0 : $i]:
% 8.72/1.91 (~ (ssList @ X0) | ((app @ sk1 @ X0) = (app @ sk6 @ (app @ sk5 @ X0))))),
% 8.72/1.91 inference('demod', [status(thm)],
% 8.72/1.91 [zip_derived_cl1475, zip_derived_cl191, zip_derived_cl192])).
% 8.72/1.91 thf(zip_derived_cl1706, plain,
% 8.72/1.91 ((~ (ssList @ sk6) | ((app @ sk1 @ sk6) = (app @ sk6 @ sk2)))),
% 8.72/1.91 inference('s_sup+', [status(thm)],
% 8.72/1.91 [zip_derived_cl198, zip_derived_cl1488])).
% 8.72/1.91 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.72/1.91 thf(zip_derived_cl1709, plain, (((app @ sk1 @ sk6) = (app @ sk6 @ sk2))),
% 8.72/1.91 inference('demod', [status(thm)], [zip_derived_cl1706, zip_derived_cl192])).
% 8.72/1.91 thf(clause141, axiom,
% 8.72/1.91 (( ~( memberP @ U @ V ) ) | ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) |
% 8.72/1.91 ( ~( ssItem @ V ) ) | ( memberP @ ( app @ W @ U ) @ V ))).
% 8.72/1.91 thf(zip_derived_cl140, plain,
% 8.72/1.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.72/1.91 (~ (memberP @ X0 @ X1)
% 8.72/1.91 | ~ (ssList @ X0)
% 8.72/1.91 | ~ (ssList @ X2)
% 8.72/1.91 | ~ (ssItem @ X1)
% 8.72/1.91 | (memberP @ (app @ X2 @ X0) @ X1))),
% 8.72/1.91 inference('cnf', [status(esa)], [clause141])).
% 8.72/1.91 thf(zip_derived_cl1740, plain,
% 8.72/1.91 (![X0 : $i]:
% 8.72/1.91 (~ (memberP @ sk2 @ X0)
% 8.72/1.91 | ~ (ssList @ sk2)
% 8.72/1.91 | ~ (ssList @ sk6)
% 8.72/1.91 | ~ (ssItem @ X0)
% 8.72/1.91 | (memberP @ (app @ sk1 @ sk6) @ X0))),
% 8.72/1.91 inference('s_sup+', [status(thm)],
% 8.72/1.91 [zip_derived_cl1709, zip_derived_cl140])).
% 8.72/1.91 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 8.72/1.91 thf(zf_stmt_8, negated_conjecture, (ssList @ sk2),
% 8.72/1.91 inference('cnf.neg', [status(esa)], [co1_2])).
% 8.72/1.91 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_8])).
% 8.72/1.91 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.72/1.91 thf(zip_derived_cl1761, plain,
% 8.72/1.91 (![X0 : $i]:
% 8.72/1.91 (~ (memberP @ sk2 @ X0)
% 8.72/1.91 | ~ (ssItem @ X0)
% 8.72/1.91 | (memberP @ (app @ sk1 @ sk6) @ X0))),
% 8.72/1.91 inference('demod', [status(thm)],
% 8.72/1.91 [zip_derived_cl1740, zip_derived_cl186, zip_derived_cl192])).
% 8.72/1.91 thf(zip_derived_cl8893, plain,
% 8.72/1.91 (( (memberP @ sk1 @ sk7)
% 8.72/1.91 | ~ (ssItem @ sk7)
% 8.72/1.91 | (memberP @ (app @ sk1 @ sk6) @ sk7))),
% 8.72/1.91 inference('s_sup-', [status(thm)],
% 8.72/1.91 [zip_derived_cl196, zip_derived_cl1761])).
% 8.72/1.91 thf(co1_11, conjecture, (~( ssItem @ sk7 ))).
% 8.72/1.91 thf(zf_stmt_9, negated_conjecture, (ssItem @ sk7),
% 8.72/1.91 inference('cnf.neg', [status(esa)], [co1_11])).
% 8.72/1.91 thf(zip_derived_cl195, plain, ( (ssItem @ sk7)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.72/1.91 thf(zip_derived_cl8894, plain,
% 8.72/1.91 (( (memberP @ sk1 @ sk7) | (memberP @ (app @ sk1 @ sk6) @ sk7))),
% 8.72/1.91 inference('demod', [status(thm)], [zip_derived_cl8893, zip_derived_cl195])).
% 8.72/1.91 thf(clause158, axiom,
% 8.72/1.91 (( ~( memberP @ ( app @ U @ V ) @ W ) ) | ( ~( ssList @ V ) ) |
% 8.72/1.91 ( ~( ssList @ U ) ) | ( ~( ssItem @ W ) ) | ( memberP @ V @ W ) |
% 8.72/1.91 ( memberP @ U @ W ))).
% 8.72/1.91 thf(zip_derived_cl157, plain,
% 8.72/1.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.72/1.91 (~ (memberP @ (app @ X0 @ X1) @ X2)
% 8.72/1.91 | ~ (ssList @ X1)
% 8.72/1.91 | ~ (ssList @ X0)
% 8.72/1.91 | ~ (ssItem @ X2)
% 8.72/1.91 | (memberP @ X1 @ X2)
% 8.72/1.91 | (memberP @ X0 @ X2))),
% 8.72/1.91 inference('cnf', [status(esa)], [clause158])).
% 8.72/1.91 thf(zip_derived_cl8899, plain,
% 8.72/1.91 (( (memberP @ sk1 @ sk7)
% 8.72/1.91 | ~ (ssList @ sk6)
% 8.72/1.91 | ~ (ssList @ sk1)
% 8.72/1.91 | ~ (ssItem @ sk7)
% 8.72/1.91 | (memberP @ sk6 @ sk7)
% 8.72/1.91 | (memberP @ sk1 @ sk7))),
% 8.72/1.91 inference('s_sup-', [status(thm)],
% 8.72/1.91 [zip_derived_cl8894, zip_derived_cl157])).
% 8.72/1.91 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.72/1.91 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 8.72/1.91 thf(zf_stmt_10, negated_conjecture, (ssList @ sk1),
% 8.72/1.91 inference('cnf.neg', [status(esa)], [co1_1])).
% 8.72/1.91 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_10])).
% 8.72/1.91 thf(zip_derived_cl195, plain, ( (ssItem @ sk7)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.72/1.91 thf(zip_derived_cl8904, plain,
% 8.72/1.91 (( (memberP @ sk1 @ sk7)
% 8.72/1.91 | (memberP @ sk6 @ sk7)
% 8.72/1.91 | (memberP @ sk1 @ sk7))),
% 8.72/1.91 inference('demod', [status(thm)],
% 8.72/1.91 [zip_derived_cl8899, zip_derived_cl192, zip_derived_cl185,
% 8.72/1.91 zip_derived_cl195])).
% 8.72/1.91 thf(zip_derived_cl8905, plain,
% 8.72/1.91 (( (memberP @ sk6 @ sk7) | (memberP @ sk1 @ sk7))),
% 8.72/1.91 inference('simplify', [status(thm)], [zip_derived_cl8904])).
% 8.72/1.91 thf(zip_derived_cl199, plain, (((app @ sk6 @ sk5) = (sk1))),
% 8.72/1.91 inference('demod', [status(thm)], [zip_derived_cl194, zip_derived_cl190])).
% 8.72/1.91 thf(clause140, axiom,
% 8.72/1.91 (( ~( memberP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 8.72/1.91 ( ~( ssItem @ V ) ) | ( memberP @ ( app @ U @ W ) @ V ))).
% 8.72/1.91 thf(zip_derived_cl139, plain,
% 8.72/1.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.72/1.91 (~ (memberP @ X0 @ X1)
% 8.72/1.91 | ~ (ssList @ X2)
% 8.72/1.91 | ~ (ssList @ X0)
% 8.72/1.91 | ~ (ssItem @ X1)
% 8.72/1.91 | (memberP @ (app @ X0 @ X2) @ X1))),
% 8.72/1.91 inference('cnf', [status(esa)], [clause140])).
% 8.72/1.91 thf(zip_derived_cl1222, plain,
% 8.72/1.91 (![X0 : $i]:
% 8.72/1.91 (~ (memberP @ sk6 @ X0)
% 8.72/1.91 | ~ (ssList @ sk5)
% 8.72/1.91 | ~ (ssList @ sk6)
% 8.72/1.91 | ~ (ssItem @ X0)
% 8.72/1.91 | (memberP @ sk1 @ X0))),
% 8.72/1.91 inference('s_sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl139])).
% 8.72/1.91 thf(zip_derived_cl191, plain, ( (ssList @ sk5)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.72/1.91 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.72/1.91 thf(zip_derived_cl1233, plain,
% 8.72/1.91 (![X0 : $i]:
% 8.72/1.91 (~ (memberP @ sk6 @ X0) | ~ (ssItem @ X0) | (memberP @ sk1 @ X0))),
% 8.72/1.91 inference('demod', [status(thm)],
% 8.72/1.91 [zip_derived_cl1222, zip_derived_cl191, zip_derived_cl192])).
% 8.72/1.91 thf(zip_derived_cl8910, plain,
% 8.72/1.91 (( (memberP @ sk1 @ sk7) | ~ (ssItem @ sk7) | (memberP @ sk1 @ sk7))),
% 8.72/1.91 inference('s_sup-', [status(thm)],
% 8.72/1.91 [zip_derived_cl8905, zip_derived_cl1233])).
% 8.72/1.91 thf(zip_derived_cl195, plain, ( (ssItem @ sk7)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.72/1.91 thf(zip_derived_cl8916, plain,
% 8.72/1.91 (( (memberP @ sk1 @ sk7) | (memberP @ sk1 @ sk7))),
% 8.72/1.91 inference('demod', [status(thm)], [zip_derived_cl8910, zip_derived_cl195])).
% 8.72/1.91 thf(zip_derived_cl8917, plain, ( (memberP @ sk1 @ sk7)),
% 8.72/1.91 inference('simplify', [status(thm)], [zip_derived_cl8916])).
% 8.72/1.91 thf(zip_derived_cl8921, plain, (~ (memberP @ sk2 @ sk7)),
% 8.72/1.91 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl8917])).
% 8.72/1.91 thf(zip_derived_cl8917, plain, ( (memberP @ sk1 @ sk7)),
% 8.72/1.91 inference('simplify', [status(thm)], [zip_derived_cl8916])).
% 8.72/1.91 thf(zip_derived_cl199, plain, (((app @ sk6 @ sk5) = (sk1))),
% 8.72/1.91 inference('demod', [status(thm)], [zip_derived_cl194, zip_derived_cl190])).
% 8.72/1.91 thf(zip_derived_cl198, plain, (((app @ sk5 @ sk6) = (sk2))),
% 8.72/1.91 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl189])).
% 8.72/1.91 thf(zip_derived_cl148, plain,
% 8.72/1.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.72/1.91 (~ (ssList @ X0)
% 8.72/1.91 | ~ (ssList @ X1)
% 8.72/1.91 | ~ (ssList @ X2)
% 8.72/1.91 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 8.72/1.91 inference('cnf', [status(esa)], [clause149])).
% 8.72/1.91 thf(zip_derived_cl1474, plain,
% 8.72/1.91 (![X0 : $i]:
% 8.72/1.91 (~ (ssList @ X0)
% 8.72/1.91 | ~ (ssList @ sk6)
% 8.72/1.91 | ~ (ssList @ sk5)
% 8.72/1.91 | ((app @ sk2 @ X0) = (app @ sk5 @ (app @ sk6 @ X0))))),
% 8.72/1.91 inference('s_sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl148])).
% 8.72/1.91 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.72/1.91 thf(zip_derived_cl191, plain, ( (ssList @ sk5)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.72/1.91 thf(zip_derived_cl1487, plain,
% 8.72/1.91 (![X0 : $i]:
% 8.72/1.91 (~ (ssList @ X0) | ((app @ sk2 @ X0) = (app @ sk5 @ (app @ sk6 @ X0))))),
% 8.72/1.91 inference('demod', [status(thm)],
% 8.72/1.91 [zip_derived_cl1474, zip_derived_cl192, zip_derived_cl191])).
% 8.72/1.91 thf(zip_derived_cl1555, plain,
% 8.72/1.91 ((~ (ssList @ sk5) | ((app @ sk2 @ sk5) = (app @ sk5 @ sk1)))),
% 8.72/1.91 inference('s_sup+', [status(thm)],
% 8.72/1.91 [zip_derived_cl199, zip_derived_cl1487])).
% 8.72/1.91 thf(zip_derived_cl191, plain, ( (ssList @ sk5)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.72/1.91 thf(zip_derived_cl1557, plain, (((app @ sk2 @ sk5) = (app @ sk5 @ sk1))),
% 8.72/1.91 inference('demod', [status(thm)], [zip_derived_cl1555, zip_derived_cl191])).
% 8.72/1.91 thf(zip_derived_cl140, plain,
% 8.72/1.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.72/1.91 (~ (memberP @ X0 @ X1)
% 8.72/1.91 | ~ (ssList @ X0)
% 8.72/1.91 | ~ (ssList @ X2)
% 8.72/1.91 | ~ (ssItem @ X1)
% 8.72/1.91 | (memberP @ (app @ X2 @ X0) @ X1))),
% 8.72/1.91 inference('cnf', [status(esa)], [clause141])).
% 8.72/1.91 thf(zip_derived_cl1588, plain,
% 8.72/1.91 (![X0 : $i]:
% 8.72/1.91 (~ (memberP @ sk1 @ X0)
% 8.72/1.91 | ~ (ssList @ sk1)
% 8.72/1.91 | ~ (ssList @ sk5)
% 8.72/1.91 | ~ (ssItem @ X0)
% 8.72/1.91 | (memberP @ (app @ sk2 @ sk5) @ X0))),
% 8.72/1.91 inference('s_sup+', [status(thm)],
% 8.72/1.91 [zip_derived_cl1557, zip_derived_cl140])).
% 8.72/1.91 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_10])).
% 8.72/1.91 thf(zip_derived_cl191, plain, ( (ssList @ sk5)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.72/1.91 thf(zip_derived_cl1608, plain,
% 8.72/1.91 (![X0 : $i]:
% 8.72/1.91 (~ (memberP @ sk1 @ X0)
% 8.72/1.91 | ~ (ssItem @ X0)
% 8.72/1.91 | (memberP @ (app @ sk2 @ sk5) @ X0))),
% 8.72/1.91 inference('demod', [status(thm)],
% 8.72/1.91 [zip_derived_cl1588, zip_derived_cl185, zip_derived_cl191])).
% 8.72/1.91 thf(zip_derived_cl8926, plain,
% 8.72/1.91 ((~ (ssItem @ sk7) | (memberP @ (app @ sk2 @ sk5) @ sk7))),
% 8.72/1.91 inference('s_sup-', [status(thm)],
% 8.72/1.91 [zip_derived_cl8917, zip_derived_cl1608])).
% 8.72/1.91 thf(zip_derived_cl195, plain, ( (ssItem @ sk7)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.72/1.91 thf(zip_derived_cl8931, plain, ( (memberP @ (app @ sk2 @ sk5) @ sk7)),
% 8.72/1.91 inference('demod', [status(thm)], [zip_derived_cl8926, zip_derived_cl195])).
% 8.72/1.91 thf(zip_derived_cl157, plain,
% 8.72/1.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.72/1.91 (~ (memberP @ (app @ X0 @ X1) @ X2)
% 8.72/1.91 | ~ (ssList @ X1)
% 8.72/1.91 | ~ (ssList @ X0)
% 8.72/1.91 | ~ (ssItem @ X2)
% 8.72/1.91 | (memberP @ X1 @ X2)
% 8.72/1.91 | (memberP @ X0 @ X2))),
% 8.72/1.91 inference('cnf', [status(esa)], [clause158])).
% 8.72/1.91 thf(zip_derived_cl8936, plain,
% 8.72/1.91 ((~ (ssList @ sk5)
% 8.72/1.91 | ~ (ssList @ sk2)
% 8.72/1.91 | ~ (ssItem @ sk7)
% 8.72/1.91 | (memberP @ sk5 @ sk7)
% 8.72/1.91 | (memberP @ sk2 @ sk7))),
% 8.72/1.91 inference('s_sup-', [status(thm)],
% 8.72/1.91 [zip_derived_cl8931, zip_derived_cl157])).
% 8.72/1.91 thf(zip_derived_cl191, plain, ( (ssList @ sk5)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.72/1.91 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_8])).
% 8.72/1.91 thf(zip_derived_cl195, plain, ( (ssItem @ sk7)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.72/1.91 thf(zip_derived_cl8921, plain, (~ (memberP @ sk2 @ sk7)),
% 8.72/1.91 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl8917])).
% 8.72/1.91 thf(zip_derived_cl8941, plain, ( (memberP @ sk5 @ sk7)),
% 8.72/1.91 inference('demod', [status(thm)],
% 8.72/1.91 [zip_derived_cl8936, zip_derived_cl191, zip_derived_cl186,
% 8.72/1.91 zip_derived_cl195, zip_derived_cl8921])).
% 8.72/1.91 thf(zip_derived_cl198, plain, (((app @ sk5 @ sk6) = (sk2))),
% 8.72/1.91 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl189])).
% 8.72/1.91 thf(zip_derived_cl139, plain,
% 8.72/1.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.72/1.91 (~ (memberP @ X0 @ X1)
% 8.72/1.91 | ~ (ssList @ X2)
% 8.72/1.91 | ~ (ssList @ X0)
% 8.72/1.91 | ~ (ssItem @ X1)
% 8.72/1.91 | (memberP @ (app @ X0 @ X2) @ X1))),
% 8.72/1.91 inference('cnf', [status(esa)], [clause140])).
% 8.72/1.91 thf(zip_derived_cl1221, plain,
% 8.72/1.91 (![X0 : $i]:
% 8.72/1.91 (~ (memberP @ sk5 @ X0)
% 8.72/1.91 | ~ (ssList @ sk6)
% 8.72/1.91 | ~ (ssList @ sk5)
% 8.72/1.91 | ~ (ssItem @ X0)
% 8.72/1.91 | (memberP @ sk2 @ X0))),
% 8.72/1.91 inference('s_sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl139])).
% 8.72/1.91 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.72/1.91 thf(zip_derived_cl191, plain, ( (ssList @ sk5)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.72/1.91 thf(zip_derived_cl1232, plain,
% 8.72/1.91 (![X0 : $i]:
% 8.72/1.91 (~ (memberP @ sk5 @ X0) | ~ (ssItem @ X0) | (memberP @ sk2 @ X0))),
% 8.72/1.91 inference('demod', [status(thm)],
% 8.72/1.91 [zip_derived_cl1221, zip_derived_cl192, zip_derived_cl191])).
% 8.72/1.91 thf(zip_derived_cl8946, plain, ((~ (ssItem @ sk7) | (memberP @ sk2 @ sk7))),
% 8.72/1.91 inference('s_sup-', [status(thm)],
% 8.72/1.91 [zip_derived_cl8941, zip_derived_cl1232])).
% 8.72/1.91 thf(zip_derived_cl195, plain, ( (ssItem @ sk7)),
% 8.72/1.91 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.72/1.91 thf(zip_derived_cl8953, plain, ( (memberP @ sk2 @ sk7)),
% 8.72/1.91 inference('demod', [status(thm)], [zip_derived_cl8946, zip_derived_cl195])).
% 8.72/1.91 thf(zip_derived_cl8956, plain, ($false),
% 8.72/1.91 inference('demod', [status(thm)],
% 8.72/1.91 [zip_derived_cl8921, zip_derived_cl8953])).
% 8.72/1.91
% 8.72/1.91 % SZS output end Refutation
% 8.72/1.91
% 8.72/1.91
% 8.72/1.91 % Terminating...
% 9.66/2.00 % Runner terminated.
% 9.66/2.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------