TSTP Solution File: SWC379-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC379-1 : 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.7gIoSVlmr3 true
% Computer : n024.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 0.57s 0.79s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC379-1 : 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.7gIoSVlmr3 true
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 14:29:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.79 % Solved by fo/fo4.sh.
% 0.57/0.79 % done 57 iterations in 0.034s
% 0.57/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.79 % SZS output start Refutation
% 0.57/0.79 thf(leq_type, type, leq: $i > $i > $o).
% 0.57/0.79 thf(sk6_type, type, sk6: $i).
% 0.57/0.79 thf(sk2_type, type, sk2: $i).
% 0.57/0.79 thf(sk7_type, type, sk7: $i).
% 0.57/0.79 thf(sk4_type, type, sk4: $i).
% 0.57/0.79 thf(memberP_type, type, memberP: $i > $i > $o).
% 0.57/0.79 thf(ssItem_type, type, ssItem: $i > $o).
% 0.57/0.79 thf(sk5_type, type, sk5: $i > $i).
% 0.57/0.79 thf(sk3_type, type, sk3: $i).
% 0.57/0.79 thf(sk1_type, type, sk1: $i).
% 0.57/0.79 thf(co1_14, conjecture,
% 0.57/0.79 (~( ( memberP @ sk2 @ sk6 ) | ( memberP @ sk1 @ sk6 ) ))).
% 0.57/0.79 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.79 (( memberP @ sk2 @ sk6 ) | ( memberP @ sk1 @ sk6 )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [co1_14])).
% 0.57/0.79 thf(zip_derived_cl20, plain,
% 0.57/0.79 (( (memberP @ sk2 @ sk6) | (memberP @ sk1 @ sk6))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.79 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.57/0.79 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.57/0.79 thf(zip_derived_cl29, plain, (((sk2) = (sk4))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.79 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.57/0.79 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.57/0.79 thf(zip_derived_cl28, plain, (((sk1) = (sk3))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.79 thf(zip_derived_cl39, plain,
% 0.57/0.79 (( (memberP @ sk4 @ sk6) | (memberP @ sk3 @ sk6))),
% 0.57/0.79 inference('demod', [status(thm)],
% 0.57/0.79 [zip_derived_cl20, zip_derived_cl29, zip_derived_cl28])).
% 0.57/0.79 thf(co1_11, conjecture,
% 0.57/0.79 (~( ( memberP @ sk4 @ A ) | ( ~( memberP @ sk3 @ A ) ) |
% 0.57/0.79 ( ~( ssItem @ A ) ) ))).
% 0.57/0.79 thf(zf_stmt_3, negated_conjecture,
% 0.57/0.79 (( memberP @ sk4 @ A ) | ( ~( memberP @ sk3 @ A ) ) | ( ~( ssItem @ A ) )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.57/0.79 thf(zip_derived_cl23, plain,
% 0.57/0.79 (![X0 : $i]:
% 0.57/0.79 ( (memberP @ sk4 @ X0) | ~ (memberP @ sk3 @ X0) | ~ (ssItem @ X0))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.79 thf(zip_derived_cl45, plain,
% 0.57/0.79 (( (memberP @ sk4 @ sk6) | ~ (ssItem @ sk6) | (memberP @ sk4 @ sk6))),
% 0.57/0.79 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl23])).
% 0.57/0.79 thf(co1_13, conjecture, (~( ssItem @ sk6 ))).
% 0.57/0.79 thf(zf_stmt_4, negated_conjecture, (ssItem @ sk6),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [co1_13])).
% 0.57/0.79 thf(zip_derived_cl21, plain, ( (ssItem @ sk6)),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.79 thf(zip_derived_cl46, plain,
% 0.57/0.79 (( (memberP @ sk4 @ sk6) | (memberP @ sk4 @ sk6))),
% 0.57/0.79 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl21])).
% 0.57/0.79 thf(zip_derived_cl47, plain, ( (memberP @ sk4 @ sk6)),
% 0.57/0.79 inference('simplify', [status(thm)], [zip_derived_cl46])).
% 0.57/0.79 thf(co1_9, conjecture,
% 0.57/0.79 (~( ( ~( memberP @ sk4 @ A ) ) | ( leq @ ( sk5 @ A ) @ A ) |
% 0.57/0.79 ( memberP @ sk3 @ A ) | ( ~( ssItem @ A ) ) ))).
% 0.57/0.79 thf(zf_stmt_5, negated_conjecture,
% 0.57/0.79 (( ~( memberP @ sk4 @ A ) ) | ( leq @ ( sk5 @ A ) @ A ) |
% 0.57/0.79 ( memberP @ sk3 @ A ) | ( ~( ssItem @ A ) )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.57/0.79 thf(zip_derived_cl25, plain,
% 0.57/0.79 (![X0 : $i]:
% 0.57/0.79 (~ (memberP @ sk4 @ X0)
% 0.57/0.79 | (leq @ (sk5 @ X0) @ X0)
% 0.57/0.79 | (memberP @ sk3 @ X0)
% 0.57/0.79 | ~ (ssItem @ X0))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/0.79 thf(zip_derived_cl163, plain,
% 0.57/0.79 ((~ (ssItem @ sk6) | (memberP @ sk3 @ sk6) | (leq @ (sk5 @ sk6) @ sk6))),
% 0.57/0.79 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl25])).
% 0.57/0.79 thf(zip_derived_cl21, plain, ( (ssItem @ sk6)),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.79 thf(co1_18, conjecture,
% 0.57/0.79 (~( ( ~( memberP @ sk1 @ sk6 ) ) | ( ~( memberP @ sk2 @ sk6 ) ) |
% 0.57/0.79 ( leq @ sk7 @ sk6 ) ))).
% 0.57/0.79 thf(zf_stmt_6, negated_conjecture,
% 0.57/0.79 (( ~( memberP @ sk1 @ sk6 ) ) | ( ~( memberP @ sk2 @ sk6 ) ) |
% 0.57/0.79 ( leq @ sk7 @ sk6 )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [co1_18])).
% 0.57/0.79 thf(zip_derived_cl16, plain,
% 0.57/0.79 ((~ (memberP @ sk1 @ sk6) | ~ (memberP @ sk2 @ sk6) | (leq @ sk7 @ sk6))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/0.79 thf(zip_derived_cl28, plain, (((sk1) = (sk3))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.79 thf(zip_derived_cl29, plain, (((sk2) = (sk4))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.79 thf(zip_derived_cl42, plain,
% 0.57/0.79 ((~ (memberP @ sk3 @ sk6) | ~ (memberP @ sk4 @ sk6) | (leq @ sk7 @ sk6))),
% 0.57/0.79 inference('demod', [status(thm)],
% 0.57/0.79 [zip_derived_cl16, zip_derived_cl28, zip_derived_cl29])).
% 0.57/0.79 thf(zip_derived_cl47, plain, ( (memberP @ sk4 @ sk6)),
% 0.57/0.79 inference('simplify', [status(thm)], [zip_derived_cl46])).
% 0.57/0.79 thf(zip_derived_cl52, plain,
% 0.57/0.79 ((~ (memberP @ sk3 @ sk6) | (leq @ sk7 @ sk6))),
% 0.57/0.79 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl47])).
% 0.57/0.79 thf(co1_12, conjecture,
% 0.57/0.79 (~( ( ~( leq @ B @ A ) ) | ( ~( memberP @ sk4 @ B ) ) |
% 0.57/0.79 ( ( A ) = ( B ) ) | ( ~( ssItem @ B ) ) | ( ~( memberP @ sk3 @ A ) ) |
% 0.57/0.79 ( ~( ssItem @ A ) ) ))).
% 0.57/0.79 thf(zf_stmt_7, negated_conjecture,
% 0.57/0.79 (( ~( leq @ B @ A ) ) | ( ~( memberP @ sk4 @ B ) ) | ( ( A ) = ( B ) ) |
% 0.57/0.79 ( ~( ssItem @ B ) ) | ( ~( memberP @ sk3 @ A ) ) | ( ~( ssItem @ A ) )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.57/0.79 thf(zip_derived_cl22, plain,
% 0.57/0.79 (![X0 : $i, X1 : $i]:
% 0.57/0.79 (~ (leq @ X0 @ X1)
% 0.57/0.79 | ~ (memberP @ sk4 @ X0)
% 0.57/0.79 | ((X1) = (X0))
% 0.57/0.79 | ~ (ssItem @ X0)
% 0.57/0.79 | ~ (memberP @ sk3 @ X1)
% 0.57/0.79 | ~ (ssItem @ X1))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.57/0.79 thf(zip_derived_cl102, plain,
% 0.57/0.79 ((~ (memberP @ sk3 @ sk6)
% 0.57/0.79 | ~ (ssItem @ sk6)
% 0.57/0.79 | ~ (memberP @ sk3 @ sk6)
% 0.57/0.79 | ~ (ssItem @ sk7)
% 0.57/0.79 | ((sk6) = (sk7))
% 0.57/0.79 | ~ (memberP @ sk4 @ sk7))),
% 0.57/0.79 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl22])).
% 0.57/0.79 thf(zip_derived_cl21, plain, ( (ssItem @ sk6)),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.79 thf(zip_derived_cl107, plain,
% 0.57/0.79 ((~ (memberP @ sk3 @ sk6)
% 0.57/0.79 | ~ (memberP @ sk3 @ sk6)
% 0.57/0.79 | ~ (ssItem @ sk7)
% 0.57/0.79 | ((sk6) = (sk7))
% 0.57/0.79 | ~ (memberP @ sk4 @ sk7))),
% 0.57/0.79 inference('demod', [status(thm)], [zip_derived_cl102, zip_derived_cl21])).
% 0.57/0.79 thf(zip_derived_cl108, plain,
% 0.57/0.79 ((~ (memberP @ sk4 @ sk7)
% 0.57/0.79 | ((sk6) = (sk7))
% 0.57/0.79 | ~ (ssItem @ sk7)
% 0.57/0.79 | ~ (memberP @ sk3 @ sk6))),
% 0.57/0.79 inference('simplify', [status(thm)], [zip_derived_cl107])).
% 0.57/0.79 thf(co1_17, conjecture,
% 0.57/0.79 (~( ( ~( memberP @ sk1 @ sk6 ) ) | ( ~( memberP @ sk2 @ sk6 ) ) |
% 0.57/0.79 ( memberP @ sk2 @ sk7 ) ))).
% 0.57/0.79 thf(zf_stmt_8, negated_conjecture,
% 0.57/0.79 (( ~( memberP @ sk1 @ sk6 ) ) | ( ~( memberP @ sk2 @ sk6 ) ) |
% 0.57/0.79 ( memberP @ sk2 @ sk7 )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [co1_17])).
% 0.57/0.79 thf(zip_derived_cl17, plain,
% 0.57/0.79 ((~ (memberP @ sk1 @ sk6)
% 0.57/0.79 | ~ (memberP @ sk2 @ sk6)
% 0.57/0.79 | (memberP @ sk2 @ sk7))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.57/0.79 thf(zip_derived_cl28, plain, (((sk1) = (sk3))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.79 thf(zip_derived_cl29, plain, (((sk2) = (sk4))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.79 thf(zip_derived_cl29, plain, (((sk2) = (sk4))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.79 thf(zip_derived_cl43, plain,
% 0.57/0.79 ((~ (memberP @ sk3 @ sk6)
% 0.57/0.79 | ~ (memberP @ sk4 @ sk6)
% 0.57/0.79 | (memberP @ sk4 @ sk7))),
% 0.57/0.79 inference('demod', [status(thm)],
% 0.57/0.79 [zip_derived_cl17, zip_derived_cl28, zip_derived_cl29,
% 0.57/0.79 zip_derived_cl29])).
% 0.57/0.79 thf(zip_derived_cl47, plain, ( (memberP @ sk4 @ sk6)),
% 0.57/0.79 inference('simplify', [status(thm)], [zip_derived_cl46])).
% 0.57/0.79 thf(zip_derived_cl53, plain,
% 0.57/0.79 ((~ (memberP @ sk3 @ sk6) | (memberP @ sk4 @ sk7))),
% 0.57/0.79 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl47])).
% 0.57/0.79 thf(zip_derived_cl116, plain,
% 0.57/0.79 ((~ (memberP @ sk3 @ sk6) | ~ (ssItem @ sk7) | ((sk6) = (sk7)))),
% 0.57/0.79 inference('clc', [status(thm)], [zip_derived_cl108, zip_derived_cl53])).
% 0.57/0.79 thf(co1_16, conjecture,
% 0.57/0.79 (~( ( ~( memberP @ sk1 @ sk6 ) ) | ( ~( memberP @ sk2 @ sk6 ) ) |
% 0.57/0.79 ( ssItem @ sk7 ) ))).
% 0.57/0.79 thf(zf_stmt_9, negated_conjecture,
% 0.57/0.79 (( ~( memberP @ sk1 @ sk6 ) ) | ( ~( memberP @ sk2 @ sk6 ) ) |
% 0.57/0.79 ( ssItem @ sk7 )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [co1_16])).
% 0.57/0.79 thf(zip_derived_cl18, plain,
% 0.57/0.79 ((~ (memberP @ sk1 @ sk6) | ~ (memberP @ sk2 @ sk6) | (ssItem @ sk7))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.57/0.79 thf(zip_derived_cl28, plain, (((sk1) = (sk3))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.79 thf(zip_derived_cl29, plain, (((sk2) = (sk4))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.79 thf(zip_derived_cl38, plain,
% 0.57/0.79 ((~ (memberP @ sk3 @ sk6) | ~ (memberP @ sk4 @ sk6) | (ssItem @ sk7))),
% 0.57/0.79 inference('demod', [status(thm)],
% 0.57/0.79 [zip_derived_cl18, zip_derived_cl28, zip_derived_cl29])).
% 0.57/0.79 thf(zip_derived_cl47, plain, ( (memberP @ sk4 @ sk6)),
% 0.57/0.79 inference('simplify', [status(thm)], [zip_derived_cl46])).
% 0.57/0.79 thf(zip_derived_cl51, plain, ((~ (memberP @ sk3 @ sk6) | (ssItem @ sk7))),
% 0.57/0.79 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl47])).
% 0.57/0.79 thf(zip_derived_cl117, plain, ((((sk6) = (sk7)) | ~ (memberP @ sk3 @ sk6))),
% 0.57/0.79 inference('clc', [status(thm)], [zip_derived_cl116, zip_derived_cl51])).
% 0.57/0.79 thf(co1_19, conjecture,
% 0.57/0.79 (~( ( ~( memberP @ sk1 @ sk6 ) ) | ( ~( memberP @ sk2 @ sk6 ) ) |
% 0.57/0.79 ( ( sk6 ) != ( sk7 ) ) ))).
% 0.57/0.79 thf(zf_stmt_10, negated_conjecture,
% 0.57/0.79 (( ~( memberP @ sk1 @ sk6 ) ) | ( ~( memberP @ sk2 @ sk6 ) ) |
% 0.57/0.79 ( ( sk6 ) != ( sk7 ) )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [co1_19])).
% 0.57/0.79 thf(zip_derived_cl15, plain,
% 0.57/0.79 ((~ (memberP @ sk1 @ sk6) | ~ (memberP @ sk2 @ sk6) | ((sk6) != (sk7)))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.57/0.79 thf(zip_derived_cl28, plain, (((sk1) = (sk3))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.79 thf(zip_derived_cl34, plain,
% 0.57/0.79 ((~ (memberP @ sk3 @ sk6) | ~ (memberP @ sk2 @ sk6) | ((sk6) != (sk7)))),
% 0.57/0.79 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl28])).
% 0.57/0.79 thf(zip_derived_cl29, plain, (((sk2) = (sk4))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.79 thf(zip_derived_cl35, plain,
% 0.57/0.79 ((~ (memberP @ sk3 @ sk6) | ~ (memberP @ sk4 @ sk6) | ((sk6) != (sk7)))),
% 0.57/0.79 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl29])).
% 0.57/0.79 thf(zip_derived_cl47, plain, ( (memberP @ sk4 @ sk6)),
% 0.57/0.79 inference('simplify', [status(thm)], [zip_derived_cl46])).
% 0.57/0.79 thf(zip_derived_cl50, plain, ((~ (memberP @ sk3 @ sk6) | ((sk6) != (sk7)))),
% 0.57/0.79 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl47])).
% 0.57/0.79 thf(zip_derived_cl118, plain, (~ (memberP @ sk3 @ sk6)),
% 0.57/0.79 inference('clc', [status(thm)], [zip_derived_cl117, zip_derived_cl50])).
% 0.57/0.79 thf(zip_derived_cl165, plain, ( (leq @ (sk5 @ sk6) @ sk6)),
% 0.57/0.79 inference('demod', [status(thm)],
% 0.57/0.79 [zip_derived_cl163, zip_derived_cl21, zip_derived_cl118])).
% 0.57/0.79 thf(co1_15, conjecture,
% 0.57/0.79 (~( ( ~( leq @ A @ sk6 ) ) | ( ~( memberP @ sk2 @ A ) ) |
% 0.57/0.79 ( ( sk6 ) = ( A ) ) | ( ~( ssItem @ A ) ) | ( memberP @ sk1 @ sk6 ) ))).
% 0.57/0.79 thf(zf_stmt_11, negated_conjecture,
% 0.57/0.79 (( ~( leq @ A @ sk6 ) ) | ( ~( memberP @ sk2 @ A ) ) |
% 0.57/0.79 ( ( sk6 ) = ( A ) ) | ( ~( ssItem @ A ) ) | ( memberP @ sk1 @ sk6 )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [co1_15])).
% 0.57/0.79 thf(zip_derived_cl19, plain,
% 0.57/0.79 (![X0 : $i]:
% 0.57/0.79 (~ (leq @ X0 @ sk6)
% 0.57/0.79 | ~ (memberP @ sk2 @ X0)
% 0.57/0.79 | ((sk6) = (X0))
% 0.57/0.79 | ~ (ssItem @ X0)
% 0.57/0.79 | (memberP @ sk1 @ sk6))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.57/0.79 thf(zip_derived_cl29, plain, (((sk2) = (sk4))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.79 thf(zip_derived_cl28, plain, (((sk1) = (sk3))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.79 thf(zip_derived_cl92, plain,
% 0.57/0.79 (![X0 : $i]:
% 0.57/0.79 (~ (leq @ X0 @ sk6)
% 0.57/0.79 | ~ (memberP @ sk4 @ X0)
% 0.57/0.79 | ((sk6) = (X0))
% 0.57/0.79 | ~ (ssItem @ X0)
% 0.57/0.79 | (memberP @ sk3 @ sk6))),
% 0.57/0.79 inference('demod', [status(thm)],
% 0.57/0.79 [zip_derived_cl19, zip_derived_cl29, zip_derived_cl28])).
% 0.57/0.79 thf(zip_derived_cl172, plain,
% 0.57/0.79 (( (memberP @ sk3 @ sk6)
% 0.57/0.79 | ~ (ssItem @ (sk5 @ sk6))
% 0.57/0.79 | ((sk6) = (sk5 @ sk6))
% 0.57/0.79 | ~ (memberP @ sk4 @ (sk5 @ sk6)))),
% 0.57/0.79 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl92])).
% 0.57/0.79 thf(zip_derived_cl118, plain, (~ (memberP @ sk3 @ sk6)),
% 0.57/0.79 inference('clc', [status(thm)], [zip_derived_cl117, zip_derived_cl50])).
% 0.57/0.79 thf(zip_derived_cl47, plain, ( (memberP @ sk4 @ sk6)),
% 0.57/0.79 inference('simplify', [status(thm)], [zip_derived_cl46])).
% 0.57/0.79 thf(co1_7, conjecture,
% 0.57/0.79 (~( ( ~( memberP @ sk4 @ A ) ) | ( ssItem @ ( sk5 @ A ) ) |
% 0.57/0.79 ( memberP @ sk3 @ A ) | ( ~( ssItem @ A ) ) ))).
% 0.57/0.79 thf(zf_stmt_12, negated_conjecture,
% 0.57/0.79 (( ~( memberP @ sk4 @ A ) ) | ( ssItem @ ( sk5 @ A ) ) |
% 0.57/0.79 ( memberP @ sk3 @ A ) | ( ~( ssItem @ A ) )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.57/0.79 thf(zip_derived_cl27, plain,
% 0.57/0.79 (![X0 : $i]:
% 0.57/0.79 (~ (memberP @ sk4 @ X0)
% 0.57/0.79 | (ssItem @ (sk5 @ X0))
% 0.57/0.79 | (memberP @ sk3 @ X0)
% 0.57/0.79 | ~ (ssItem @ X0))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.57/0.79 thf(zip_derived_cl128, plain,
% 0.57/0.79 ((~ (ssItem @ sk6) | (memberP @ sk3 @ sk6) | (ssItem @ (sk5 @ sk6)))),
% 0.57/0.79 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl27])).
% 0.57/0.79 thf(zip_derived_cl21, plain, ( (ssItem @ sk6)),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.79 thf(zip_derived_cl118, plain, (~ (memberP @ sk3 @ sk6)),
% 0.57/0.79 inference('clc', [status(thm)], [zip_derived_cl117, zip_derived_cl50])).
% 0.57/0.79 thf(zip_derived_cl129, plain, ( (ssItem @ (sk5 @ sk6))),
% 0.57/0.79 inference('demod', [status(thm)],
% 0.57/0.79 [zip_derived_cl128, zip_derived_cl21, zip_derived_cl118])).
% 0.57/0.79 thf(zip_derived_cl47, plain, ( (memberP @ sk4 @ sk6)),
% 0.57/0.79 inference('simplify', [status(thm)], [zip_derived_cl46])).
% 0.57/0.79 thf(co1_8, conjecture,
% 0.57/0.79 (~( ( ~( memberP @ sk4 @ A ) ) | ( memberP @ sk4 @ ( sk5 @ A ) ) |
% 0.57/0.79 ( memberP @ sk3 @ A ) | ( ~( ssItem @ A ) ) ))).
% 0.57/0.79 thf(zf_stmt_13, negated_conjecture,
% 0.57/0.79 (( ~( memberP @ sk4 @ A ) ) | ( memberP @ sk4 @ ( sk5 @ A ) ) |
% 0.57/0.79 ( memberP @ sk3 @ A ) | ( ~( ssItem @ A ) )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.57/0.79 thf(zip_derived_cl26, plain,
% 0.57/0.79 (![X0 : $i]:
% 0.57/0.79 (~ (memberP @ sk4 @ X0)
% 0.57/0.79 | (memberP @ sk4 @ (sk5 @ X0))
% 0.57/0.79 | (memberP @ sk3 @ X0)
% 0.57/0.79 | ~ (ssItem @ X0))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.57/0.79 thf(zip_derived_cl130, plain,
% 0.57/0.79 ((~ (ssItem @ sk6)
% 0.57/0.79 | (memberP @ sk3 @ sk6)
% 0.57/0.79 | (memberP @ sk4 @ (sk5 @ sk6)))),
% 0.57/0.79 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl26])).
% 0.57/0.79 thf(zip_derived_cl21, plain, ( (ssItem @ sk6)),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.79 thf(zip_derived_cl118, plain, (~ (memberP @ sk3 @ sk6)),
% 0.57/0.79 inference('clc', [status(thm)], [zip_derived_cl117, zip_derived_cl50])).
% 0.57/0.79 thf(zip_derived_cl131, plain, ( (memberP @ sk4 @ (sk5 @ sk6))),
% 0.57/0.79 inference('demod', [status(thm)],
% 0.57/0.79 [zip_derived_cl130, zip_derived_cl21, zip_derived_cl118])).
% 0.57/0.79 thf(zip_derived_cl196, plain, (((sk6) = (sk5 @ sk6))),
% 0.57/0.79 inference('demod', [status(thm)],
% 0.57/0.79 [zip_derived_cl172, zip_derived_cl118, zip_derived_cl129,
% 0.57/0.79 zip_derived_cl131])).
% 0.57/0.79 thf(co1_10, conjecture,
% 0.57/0.79 (~( ( ~( memberP @ sk4 @ A ) ) | ( ( A ) != ( sk5 @ A ) ) |
% 0.57/0.79 ( memberP @ sk3 @ A ) | ( ~( ssItem @ A ) ) ))).
% 0.57/0.79 thf(zf_stmt_14, negated_conjecture,
% 0.57/0.79 (( ~( memberP @ sk4 @ A ) ) | ( ( A ) != ( sk5 @ A ) ) |
% 0.57/0.79 ( memberP @ sk3 @ A ) | ( ~( ssItem @ A ) )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [co1_10])).
% 0.57/0.79 thf(zip_derived_cl24, plain,
% 0.57/0.79 (![X0 : $i]:
% 0.57/0.79 (~ (memberP @ sk4 @ X0)
% 0.57/0.79 | ((X0) != (sk5 @ X0))
% 0.57/0.79 | (memberP @ sk3 @ X0)
% 0.57/0.79 | ~ (ssItem @ X0))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.57/0.79 thf(zip_derived_cl118, plain, (~ (memberP @ sk3 @ sk6)),
% 0.57/0.79 inference('clc', [status(thm)], [zip_derived_cl117, zip_derived_cl50])).
% 0.57/0.79 thf(zip_derived_cl119, plain,
% 0.57/0.79 ((~ (ssItem @ sk6) | ((sk6) != (sk5 @ sk6)) | ~ (memberP @ sk4 @ sk6))),
% 0.57/0.79 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl118])).
% 0.57/0.79 thf(zip_derived_cl21, plain, ( (ssItem @ sk6)),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.79 thf(zip_derived_cl47, plain, ( (memberP @ sk4 @ sk6)),
% 0.57/0.79 inference('simplify', [status(thm)], [zip_derived_cl46])).
% 0.57/0.79 thf(zip_derived_cl120, plain, (((sk6) != (sk5 @ sk6))),
% 0.57/0.79 inference('demod', [status(thm)],
% 0.57/0.79 [zip_derived_cl119, zip_derived_cl21, zip_derived_cl47])).
% 0.57/0.79 thf(zip_derived_cl197, plain, ($false),
% 0.57/0.79 inference('simplify_reflect-', [status(thm)],
% 0.57/0.79 [zip_derived_cl196, zip_derived_cl120])).
% 0.57/0.79
% 0.57/0.79 % SZS output end Refutation
% 0.57/0.79
% 0.57/0.79
% 0.57/0.80 % Terminating...
% 0.57/0.84 % Runner terminated.
% 1.59/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------