TSTP Solution File: SWC098-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC098-1 : 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.bu2Md7A4EQ 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 21:29:08 EDT 2023
% Result : Unsatisfiable 0.21s 0.83s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC098-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bu2Md7A4EQ true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 19:04:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % 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
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.83 % Solved by fo/fo4.sh.
% 0.21/0.83 % done 48 iterations in 0.029s
% 0.21/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.83 % SZS output start Refutation
% 0.21/0.83 thf(nil_type, type, nil: $i).
% 0.21/0.83 thf(leq_type, type, leq: $i > $i > $o).
% 0.21/0.83 thf(cons_type, type, cons: $i > $i > $i).
% 0.21/0.83 thf(sk2_type, type, sk2: $i).
% 0.21/0.83 thf(sk4_type, type, sk4: $i).
% 0.21/0.83 thf(memberP_type, type, memberP: $i > $i > $o).
% 0.21/0.83 thf(ssItem_type, type, ssItem: $i > $o).
% 0.21/0.83 thf(sk5_type, type, sk5: $i > $i).
% 0.21/0.83 thf(sk6_type, type, sk6: $i).
% 0.21/0.83 thf(sk3_type, type, sk3: $i).
% 0.21/0.83 thf(ssList_type, type, ssList: $i > $o).
% 0.21/0.83 thf(sk1_type, type, sk1: $i).
% 0.21/0.83 thf(co1_12, conjecture, (~( ( ( nil ) = ( sk4 ) ) | ( ssItem @ sk6 ) ))).
% 0.21/0.83 thf(zf_stmt_0, negated_conjecture,
% 0.21/0.83 (( ( nil ) = ( sk4 ) ) | ( ssItem @ sk6 )),
% 0.21/0.83 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.21/0.83 thf(zip_derived_cl35, plain, ((((nil) = (sk4)) | (ssItem @ sk6))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.83 thf(co1_8, conjecture,
% 0.21/0.83 (~( ( ~( memberP @ sk2 @ A ) ) | ( memberP @ sk2 @ ( sk5 @ A ) ) |
% 0.21/0.83 ( ( cons @ A @ nil ) != ( sk1 ) ) | ( ~( ssItem @ A ) ) ))).
% 0.21/0.83 thf(zf_stmt_1, negated_conjecture,
% 0.21/0.83 (( ~( memberP @ sk2 @ A ) ) | ( memberP @ sk2 @ ( sk5 @ A ) ) |
% 0.21/0.83 ( ( cons @ A @ nil ) != ( sk1 ) ) | ( ~( ssItem @ A ) )),
% 0.21/0.83 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.21/0.83 thf(zip_derived_cl39, plain,
% 0.21/0.83 (![X0 : $i]:
% 0.21/0.83 (~ (memberP @ sk2 @ X0)
% 0.21/0.83 | (memberP @ sk2 @ (sk5 @ X0))
% 0.21/0.83 | ((cons @ X0 @ nil) != (sk1))
% 0.21/0.83 | ~ (ssItem @ X0))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.83 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.21/0.83 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.21/0.83 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.21/0.83 thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.83 thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.83 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.21/0.83 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.21/0.83 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.21/0.83 thf(zip_derived_cl41, plain, (((sk1) = (sk3))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.21/0.83 thf(zip_derived_cl109, plain,
% 0.21/0.83 (![X0 : $i]:
% 0.21/0.83 (~ (memberP @ sk4 @ X0)
% 0.21/0.83 | (memberP @ sk4 @ (sk5 @ X0))
% 0.21/0.83 | ((cons @ X0 @ nil) != (sk3))
% 0.21/0.83 | ~ (ssItem @ X0))),
% 0.21/0.83 inference('demod', [status(thm)],
% 0.21/0.83 [zip_derived_cl39, zip_derived_cl42, zip_derived_cl42,
% 0.21/0.83 zip_derived_cl41])).
% 0.21/0.83 thf(co1_7, conjecture,
% 0.21/0.83 (~( ( ~( memberP @ sk2 @ A ) ) | ( ssItem @ ( sk5 @ A ) ) |
% 0.21/0.83 ( ( cons @ A @ nil ) != ( sk1 ) ) | ( ~( ssItem @ A ) ) ))).
% 0.21/0.83 thf(zf_stmt_4, negated_conjecture,
% 0.21/0.83 (( ~( memberP @ sk2 @ A ) ) | ( ssItem @ ( sk5 @ A ) ) |
% 0.21/0.83 ( ( cons @ A @ nil ) != ( sk1 ) ) | ( ~( ssItem @ A ) )),
% 0.21/0.83 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.21/0.83 thf(zip_derived_cl40, plain,
% 0.21/0.83 (![X0 : $i]:
% 0.21/0.83 (~ (memberP @ sk2 @ X0)
% 0.21/0.83 | (ssItem @ (sk5 @ X0))
% 0.21/0.83 | ((cons @ X0 @ nil) != (sk1))
% 0.21/0.83 | ~ (ssItem @ X0))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.21/0.83 thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.83 thf(zip_derived_cl41, plain, (((sk1) = (sk3))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.21/0.83 thf(zip_derived_cl66, plain,
% 0.21/0.83 (![X0 : $i]:
% 0.21/0.83 (~ (memberP @ sk4 @ X0)
% 0.21/0.83 | (ssItem @ (sk5 @ X0))
% 0.21/0.83 | ((cons @ X0 @ nil) != (sk3))
% 0.21/0.83 | ~ (ssItem @ X0))),
% 0.21/0.83 inference('demod', [status(thm)],
% 0.21/0.83 [zip_derived_cl40, zip_derived_cl42, zip_derived_cl41])).
% 0.21/0.83 thf(co1_9, conjecture,
% 0.21/0.83 (~( ( ~( memberP @ sk2 @ A ) ) | ( leq @ A @ ( sk5 @ A ) ) |
% 0.21/0.83 ( ( cons @ A @ nil ) != ( sk1 ) ) | ( ~( ssItem @ A ) ) ))).
% 0.21/0.83 thf(zf_stmt_5, negated_conjecture,
% 0.21/0.83 (( ~( memberP @ sk2 @ A ) ) | ( leq @ A @ ( sk5 @ A ) ) |
% 0.21/0.83 ( ( cons @ A @ nil ) != ( sk1 ) ) | ( ~( ssItem @ A ) )),
% 0.21/0.83 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.21/0.83 thf(zip_derived_cl38, plain,
% 0.21/0.83 (![X0 : $i]:
% 0.21/0.83 (~ (memberP @ sk2 @ X0)
% 0.21/0.83 | (leq @ X0 @ (sk5 @ X0))
% 0.21/0.83 | ((cons @ X0 @ nil) != (sk1))
% 0.21/0.83 | ~ (ssItem @ X0))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.21/0.83 thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.83 thf(zip_derived_cl41, plain, (((sk1) = (sk3))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.21/0.83 thf(zip_derived_cl111, plain,
% 0.21/0.83 (![X0 : $i]:
% 0.21/0.83 (~ (memberP @ sk4 @ X0)
% 0.21/0.83 | (leq @ X0 @ (sk5 @ X0))
% 0.21/0.83 | ((cons @ X0 @ nil) != (sk3))
% 0.21/0.83 | ~ (ssItem @ X0))),
% 0.21/0.83 inference('demod', [status(thm)],
% 0.21/0.83 [zip_derived_cl38, zip_derived_cl42, zip_derived_cl41])).
% 0.21/0.83 thf(co1_19, conjecture,
% 0.21/0.83 (~( ( ( nil ) = ( sk3 ) ) | ( ~( leq @ sk6 @ A ) ) |
% 0.21/0.83 ( ~( memberP @ sk4 @ A ) ) | ( ( sk6 ) = ( A ) ) | ( ~( ssItem @ A ) ) ))).
% 0.21/0.83 thf(zf_stmt_6, negated_conjecture,
% 0.21/0.83 (( ( nil ) = ( sk3 ) ) | ( ~( leq @ sk6 @ A ) ) |
% 0.21/0.83 ( ~( memberP @ sk4 @ A ) ) | ( ( sk6 ) = ( A ) ) | ( ~( ssItem @ A ) )),
% 0.21/0.83 inference('cnf.neg', [status(esa)], [co1_19])).
% 0.21/0.83 thf(zip_derived_cl28, plain,
% 0.21/0.83 (![X0 : $i]:
% 0.21/0.83 (((nil) = (sk3))
% 0.21/0.83 | ~ (leq @ sk6 @ X0)
% 0.21/0.83 | ~ (memberP @ sk4 @ X0)
% 0.21/0.83 | ((sk6) = (X0))
% 0.21/0.83 | ~ (ssItem @ X0))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.21/0.83 thf(zip_derived_cl112, plain,
% 0.21/0.83 ((~ (ssItem @ sk6)
% 0.21/0.83 | ((cons @ sk6 @ nil) != (sk3))
% 0.21/0.83 | ~ (memberP @ sk4 @ sk6)
% 0.21/0.83 | ~ (ssItem @ (sk5 @ sk6))
% 0.21/0.83 | ((sk6) = (sk5 @ sk6))
% 0.21/0.83 | ~ (memberP @ sk4 @ (sk5 @ sk6))
% 0.21/0.83 | ((nil) = (sk3)))),
% 0.21/0.83 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl28])).
% 0.21/0.83 thf(co1_13, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk6 ) ))).
% 0.21/0.83 thf(zf_stmt_7, negated_conjecture,
% 0.21/0.83 (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk6 )),
% 0.21/0.83 inference('cnf.neg', [status(esa)], [co1_13])).
% 0.21/0.83 thf(zip_derived_cl34, plain, ((((nil) = (sk3)) | (ssItem @ sk6))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.21/0.83 thf(zip_derived_cl114, plain,
% 0.21/0.83 ((((nil) = (sk3))
% 0.21/0.83 | ~ (memberP @ sk4 @ (sk5 @ sk6))
% 0.21/0.83 | ((sk6) = (sk5 @ sk6))
% 0.21/0.83 | ~ (ssItem @ (sk5 @ sk6))
% 0.21/0.83 | ~ (memberP @ sk4 @ sk6)
% 0.21/0.83 | ((cons @ sk6 @ nil) != (sk3)))),
% 0.21/0.83 inference('clc', [status(thm)], [zip_derived_cl112, zip_derived_cl34])).
% 0.21/0.83 thf(co1_18, conjecture,
% 0.21/0.83 (~( ( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk6 ) ))).
% 0.21/0.83 thf(zf_stmt_8, negated_conjecture,
% 0.21/0.83 (( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk6 )),
% 0.21/0.83 inference('cnf.neg', [status(esa)], [co1_18])).
% 0.21/0.83 thf(zip_derived_cl29, plain, ((((nil) = (sk3)) | (memberP @ sk4 @ sk6))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.21/0.83 thf(zip_derived_cl115, plain,
% 0.21/0.83 ((((cons @ sk6 @ nil) != (sk3))
% 0.21/0.83 | ~ (ssItem @ (sk5 @ sk6))
% 0.21/0.83 | ((sk6) = (sk5 @ sk6))
% 0.21/0.83 | ~ (memberP @ sk4 @ (sk5 @ sk6))
% 0.21/0.83 | ((nil) = (sk3)))),
% 0.21/0.83 inference('clc', [status(thm)], [zip_derived_cl114, zip_derived_cl29])).
% 0.21/0.83 thf(co1_17, conjecture,
% 0.21/0.83 (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk6 @ nil ) = ( sk3 ) ) ))).
% 0.21/0.83 thf(zf_stmt_9, negated_conjecture,
% 0.21/0.83 (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk6 @ nil ) = ( sk3 ) )),
% 0.21/0.83 inference('cnf.neg', [status(esa)], [co1_17])).
% 0.21/0.83 thf(zip_derived_cl30, plain,
% 0.21/0.83 ((((nil) = (sk3)) | ((cons @ sk6 @ nil) = (sk3)))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.21/0.83 thf(zip_derived_cl116, plain,
% 0.21/0.83 ((((nil) = (sk3))
% 0.21/0.83 | ~ (memberP @ sk4 @ (sk5 @ sk6))
% 0.21/0.83 | ((sk6) = (sk5 @ sk6))
% 0.21/0.83 | ~ (ssItem @ (sk5 @ sk6)))),
% 0.21/0.83 inference('clc', [status(thm)], [zip_derived_cl115, zip_derived_cl30])).
% 0.21/0.83 thf(zip_derived_cl117, plain,
% 0.21/0.83 ((~ (ssItem @ sk6)
% 0.21/0.83 | ((cons @ sk6 @ nil) != (sk3))
% 0.21/0.83 | ~ (memberP @ sk4 @ sk6)
% 0.21/0.83 | ((sk6) = (sk5 @ sk6))
% 0.21/0.83 | ~ (memberP @ sk4 @ (sk5 @ sk6))
% 0.21/0.83 | ((nil) = (sk3)))),
% 0.21/0.83 inference('sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl116])).
% 0.21/0.83 thf(zip_derived_cl34, plain, ((((nil) = (sk3)) | (ssItem @ sk6))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.21/0.83 thf(zip_derived_cl118, plain,
% 0.21/0.83 ((((nil) = (sk3))
% 0.21/0.83 | ~ (memberP @ sk4 @ (sk5 @ sk6))
% 0.21/0.83 | ((sk6) = (sk5 @ sk6))
% 0.21/0.83 | ~ (memberP @ sk4 @ sk6)
% 0.21/0.83 | ((cons @ sk6 @ nil) != (sk3)))),
% 0.21/0.83 inference('clc', [status(thm)], [zip_derived_cl117, zip_derived_cl34])).
% 0.21/0.83 thf(zip_derived_cl29, plain, ((((nil) = (sk3)) | (memberP @ sk4 @ sk6))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.21/0.83 thf(zip_derived_cl119, plain,
% 0.21/0.83 ((((cons @ sk6 @ nil) != (sk3))
% 0.21/0.83 | ((sk6) = (sk5 @ sk6))
% 0.21/0.83 | ~ (memberP @ sk4 @ (sk5 @ sk6))
% 0.21/0.83 | ((nil) = (sk3)))),
% 0.21/0.83 inference('clc', [status(thm)], [zip_derived_cl118, zip_derived_cl29])).
% 0.21/0.83 thf(zip_derived_cl30, plain,
% 0.21/0.83 ((((nil) = (sk3)) | ((cons @ sk6 @ nil) = (sk3)))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.21/0.83 thf(zip_derived_cl120, plain,
% 0.21/0.83 ((((nil) = (sk3))
% 0.21/0.83 | ~ (memberP @ sk4 @ (sk5 @ sk6))
% 0.21/0.83 | ((sk6) = (sk5 @ sk6)))),
% 0.21/0.83 inference('clc', [status(thm)], [zip_derived_cl119, zip_derived_cl30])).
% 0.21/0.83 thf(zip_derived_cl121, plain,
% 0.21/0.83 ((~ (ssItem @ sk6)
% 0.21/0.83 | ((cons @ sk6 @ nil) != (sk3))
% 0.21/0.83 | ~ (memberP @ sk4 @ sk6)
% 0.21/0.83 | ((sk6) = (sk5 @ sk6))
% 0.21/0.83 | ((nil) = (sk3)))),
% 0.21/0.83 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl120])).
% 0.21/0.83 thf(zip_derived_cl34, plain, ((((nil) = (sk3)) | (ssItem @ sk6))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.21/0.83 thf(zip_derived_cl122, plain,
% 0.21/0.83 ((((nil) = (sk3))
% 0.21/0.83 | ((sk6) = (sk5 @ sk6))
% 0.21/0.83 | ~ (memberP @ sk4 @ sk6)
% 0.21/0.83 | ((cons @ sk6 @ nil) != (sk3)))),
% 0.21/0.83 inference('clc', [status(thm)], [zip_derived_cl121, zip_derived_cl34])).
% 0.21/0.83 thf(zip_derived_cl29, plain, ((((nil) = (sk3)) | (memberP @ sk4 @ sk6))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.21/0.83 thf(zip_derived_cl123, plain,
% 0.21/0.83 ((((cons @ sk6 @ nil) != (sk3)) | ((sk6) = (sk5 @ sk6)) | ((nil) = (sk3)))),
% 0.21/0.83 inference('clc', [status(thm)], [zip_derived_cl122, zip_derived_cl29])).
% 0.21/0.83 thf(zip_derived_cl30, plain,
% 0.21/0.83 ((((nil) = (sk3)) | ((cons @ sk6 @ nil) = (sk3)))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.21/0.83 thf(zip_derived_cl124, plain, ((((nil) = (sk3)) | ((sk6) = (sk5 @ sk6)))),
% 0.21/0.83 inference('clc', [status(thm)], [zip_derived_cl123, zip_derived_cl30])).
% 0.21/0.83 thf(zip_derived_cl29, plain, ((((nil) = (sk3)) | (memberP @ sk4 @ sk6))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.21/0.83 thf(co1_10, conjecture,
% 0.21/0.83 (~( ( ~( memberP @ sk2 @ A ) ) | ( ( A ) != ( sk5 @ A ) ) |
% 0.21/0.83 ( ( cons @ A @ nil ) != ( sk1 ) ) | ( ~( ssItem @ A ) ) ))).
% 0.21/0.83 thf(zf_stmt_10, negated_conjecture,
% 0.21/0.83 (( ~( memberP @ sk2 @ A ) ) | ( ( A ) != ( sk5 @ A ) ) |
% 0.21/0.83 ( ( cons @ A @ nil ) != ( sk1 ) ) | ( ~( ssItem @ A ) )),
% 0.21/0.83 inference('cnf.neg', [status(esa)], [co1_10])).
% 0.21/0.83 thf(zip_derived_cl37, plain,
% 0.21/0.83 (![X0 : $i]:
% 0.21/0.83 (~ (memberP @ sk2 @ X0)
% 0.21/0.83 | ((X0) != (sk5 @ X0))
% 0.21/0.83 | ((cons @ X0 @ nil) != (sk1))
% 0.21/0.83 | ~ (ssItem @ X0))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.21/0.83 thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.83 thf(zip_derived_cl41, plain, (((sk1) = (sk3))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.21/0.83 thf(zip_derived_cl61, plain,
% 0.21/0.83 (![X0 : $i]:
% 0.21/0.83 (~ (memberP @ sk4 @ X0)
% 0.21/0.83 | ((X0) != (sk5 @ X0))
% 0.21/0.83 | ((cons @ X0 @ nil) != (sk3))
% 0.21/0.83 | ~ (ssItem @ X0))),
% 0.21/0.83 inference('demod', [status(thm)],
% 0.21/0.83 [zip_derived_cl37, zip_derived_cl42, zip_derived_cl41])).
% 0.21/0.83 thf(zip_derived_cl62, plain,
% 0.21/0.83 ((((nil) = (sk3))
% 0.21/0.83 | ~ (ssItem @ sk6)
% 0.21/0.83 | ((cons @ sk6 @ nil) != (sk3))
% 0.21/0.83 | ((sk6) != (sk5 @ sk6)))),
% 0.21/0.83 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl61])).
% 0.21/0.83 thf(co1_14, conjecture,
% 0.21/0.83 (~( ( ( nil ) = ( sk4 ) ) | ( ( cons @ sk6 @ nil ) = ( sk3 ) ) ))).
% 0.21/0.83 thf(zf_stmt_11, negated_conjecture,
% 0.21/0.83 (( ( nil ) = ( sk4 ) ) | ( ( cons @ sk6 @ nil ) = ( sk3 ) )),
% 0.21/0.83 inference('cnf.neg', [status(esa)], [co1_14])).
% 0.21/0.83 thf(zip_derived_cl33, plain,
% 0.21/0.83 ((((nil) = (sk4)) | ((cons @ sk6 @ nil) = (sk3)))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.21/0.83 thf(clause98, axiom,
% 0.21/0.83 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 0.21/0.83 ( ~( ssList @ V ) ))).
% 0.21/0.83 thf(zip_derived_cl6, plain,
% 0.21/0.83 (![X0 : $i, X1 : $i]:
% 0.21/0.83 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 0.21/0.83 inference('cnf', [status(esa)], [clause98])).
% 0.21/0.83 thf(zip_derived_cl55, plain,
% 0.21/0.83 ((((sk3) != (nil))
% 0.21/0.83 | ((nil) = (sk4))
% 0.21/0.83 | ~ (ssList @ nil)
% 0.21/0.83 | ~ (ssItem @ sk6))),
% 0.21/0.83 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl6])).
% 0.21/0.83 thf(clause8, axiom, (ssList @ nil)).
% 0.21/0.83 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.21/0.83 inference('cnf', [status(esa)], [clause8])).
% 0.21/0.83 thf(zip_derived_cl57, plain,
% 0.21/0.83 ((((sk3) != (nil)) | ((nil) = (sk4)) | ~ (ssItem @ sk6))),
% 0.21/0.83 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl0])).
% 0.21/0.83 thf(co1_11, conjecture,
% 0.21/0.83 (~( ( ( nil ) != ( sk1 ) ) | ( ( nil ) != ( sk2 ) ) ))).
% 0.21/0.83 thf(zf_stmt_12, negated_conjecture,
% 0.21/0.83 (( ( nil ) != ( sk1 ) ) | ( ( nil ) != ( sk2 ) )),
% 0.21/0.83 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.21/0.83 thf(zip_derived_cl36, plain, ((((nil) != (sk1)) | ((nil) != (sk2)))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.21/0.83 thf(zip_derived_cl41, plain, (((sk1) = (sk3))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.21/0.83 thf(zip_derived_cl47, plain, ((((nil) != (sk3)) | ((nil) != (sk2)))),
% 0.21/0.83 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl41])).
% 0.21/0.83 thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.83 thf(zip_derived_cl48, plain, ((((nil) != (sk3)) | ((nil) != (sk4)))),
% 0.21/0.83 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl42])).
% 0.21/0.83 thf(zip_derived_cl59, plain, ((~ (ssItem @ sk6) | ((sk3) != (nil)))),
% 0.21/0.83 inference('clc', [status(thm)], [zip_derived_cl57, zip_derived_cl48])).
% 0.21/0.83 thf(zip_derived_cl64, plain,
% 0.21/0.83 ((((sk6) != (sk5 @ sk6))
% 0.21/0.83 | ((cons @ sk6 @ nil) != (sk3))
% 0.21/0.83 | ~ (ssItem @ sk6))),
% 0.21/0.83 inference('clc', [status(thm)], [zip_derived_cl62, zip_derived_cl59])).
% 0.21/0.83 thf(zip_derived_cl128, plain,
% 0.21/0.83 ((((sk6) != (sk6))
% 0.21/0.83 | ((nil) = (sk3))
% 0.21/0.83 | ~ (ssItem @ sk6)
% 0.21/0.83 | ((cons @ sk6 @ nil) != (sk3)))),
% 0.21/0.83 inference('sup-', [status(thm)], [zip_derived_cl124, zip_derived_cl64])).
% 0.21/0.83 thf(zip_derived_cl129, plain,
% 0.21/0.83 ((((cons @ sk6 @ nil) != (sk3)) | ~ (ssItem @ sk6) | ((nil) = (sk3)))),
% 0.21/0.83 inference('simplify', [status(thm)], [zip_derived_cl128])).
% 0.21/0.83 thf(zip_derived_cl30, plain,
% 0.21/0.83 ((((nil) = (sk3)) | ((cons @ sk6 @ nil) = (sk3)))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.21/0.83 thf(zip_derived_cl130, plain, ((((nil) = (sk3)) | ~ (ssItem @ sk6))),
% 0.21/0.83 inference('clc', [status(thm)], [zip_derived_cl129, zip_derived_cl30])).
% 0.21/0.83 thf(zip_derived_cl59, plain, ((~ (ssItem @ sk6) | ((sk3) != (nil)))),
% 0.21/0.83 inference('clc', [status(thm)], [zip_derived_cl57, zip_derived_cl48])).
% 0.21/0.83 thf(zip_derived_cl131, plain, (~ (ssItem @ sk6)),
% 0.21/0.83 inference('clc', [status(thm)], [zip_derived_cl130, zip_derived_cl59])).
% 0.21/0.83 thf(zip_derived_cl133, plain, (((nil) = (sk4))),
% 0.21/0.83 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl131])).
% 0.21/0.83 thf(zip_derived_cl48, plain, ((((nil) != (sk3)) | ((nil) != (sk4)))),
% 0.21/0.83 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl42])).
% 0.21/0.83 thf(zip_derived_cl34, plain, ((((nil) = (sk3)) | (ssItem @ sk6))),
% 0.21/0.83 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.21/0.83 thf(zip_derived_cl131, plain, (~ (ssItem @ sk6)),
% 0.21/0.83 inference('clc', [status(thm)], [zip_derived_cl130, zip_derived_cl59])).
% 0.21/0.83 thf(zip_derived_cl132, plain, (((nil) = (sk3))),
% 0.21/0.83 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl131])).
% 0.21/0.83 thf(zip_derived_cl137, plain, ((((nil) != (nil)) | ((nil) != (sk4)))),
% 0.21/0.83 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl132])).
% 0.21/0.83 thf(zip_derived_cl138, plain, (((nil) != (sk4))),
% 0.21/0.83 inference('simplify', [status(thm)], [zip_derived_cl137])).
% 0.21/0.83 thf(zip_derived_cl143, plain, ($false),
% 0.21/0.83 inference('simplify_reflect-', [status(thm)],
% 0.21/0.83 [zip_derived_cl133, zip_derived_cl138])).
% 0.21/0.83
% 0.21/0.83 % SZS output end Refutation
% 0.21/0.83
% 0.21/0.83
% 0.21/0.83 % Terminating...
% 2.13/0.94 % Runner terminated.
% 2.13/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------