TSTP Solution File: SWC220-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC220-1 : 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.R23VXYxvqV true
% Computer : n009.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 21:29:58 EDT 2023
% Result : Unsatisfiable 0.57s 1.08s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC220-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.R23VXYxvqV true
% 0.14/0.35 % Computer : n009.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 18:22:05 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/1.08 % Solved by fo/fo4.sh.
% 0.57/1.08 % done 664 iterations in 0.300s
% 0.57/1.08 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/1.08 % SZS output start Refutation
% 0.57/1.08 thf(nil_type, type, nil: $i).
% 0.57/1.08 thf(sk7_type, type, sk7: $i).
% 0.57/1.08 thf(sk5_type, type, sk5: $i > $i > $i > $i).
% 0.57/1.08 thf(leq_type, type, leq: $i > $i > $o).
% 0.57/1.08 thf(cons_type, type, cons: $i > $i > $i).
% 0.57/1.08 thf(memberP_type, type, memberP: $i > $i > $o).
% 0.57/1.08 thf(ssItem_type, type, ssItem: $i > $o).
% 0.57/1.08 thf(sk3_type, type, sk3: $i).
% 0.57/1.08 thf(sk6_type, type, sk6: $i).
% 0.57/1.08 thf(app_type, type, app: $i > $i > $i).
% 0.57/1.08 thf(ssList_type, type, ssList: $i > $o).
% 0.57/1.08 thf(sk8_type, type, sk8: $i).
% 0.57/1.08 thf(sk1_type, type, sk1: $i).
% 0.57/1.08 thf(co1_17, conjecture,
% 0.57/1.08 (~( ( ~( leq @ sk6 @ A ) ) | ( ~( memberP @ sk8 @ A ) ) |
% 0.57/1.08 ( ~( memberP @ sk7 @ A ) ) | ( leq @ A @ sk6 ) | ( ~( ssItem @ A ) ) |
% 0.57/1.08 ( ( nil ) = ( sk3 ) ) ))).
% 0.57/1.08 thf(zf_stmt_0, negated_conjecture,
% 0.57/1.08 (( ~( leq @ sk6 @ A ) ) | ( ~( memberP @ sk8 @ A ) ) |
% 0.57/1.08 ( ~( memberP @ sk7 @ A ) ) | ( leq @ A @ sk6 ) | ( ~( ssItem @ A ) ) |
% 0.57/1.08 ( ( nil ) = ( sk3 ) )),
% 0.57/1.08 inference('cnf.neg', [status(esa)], [co1_17])).
% 0.57/1.08 thf(zip_derived_cl32, plain,
% 0.57/1.08 (![X0 : $i]:
% 0.57/1.08 (~ (leq @ sk6 @ X0)
% 0.57/1.08 | ~ (memberP @ sk8 @ X0)
% 0.57/1.08 | ~ (memberP @ sk7 @ X0)
% 0.57/1.08 | (leq @ X0 @ sk6)
% 0.57/1.08 | ~ (ssItem @ X0)
% 0.57/1.08 | ((nil) = (sk3)))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/1.08 thf(co1_7, conjecture, (( nil ) = ( sk1 ))).
% 0.57/1.08 thf(zf_stmt_1, negated_conjecture, (( nil ) != ( sk1 )),
% 0.57/1.08 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.57/1.08 thf(zip_derived_cl42, plain, (((nil) != (sk1))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/1.08 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.57/1.08 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.57/1.08 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.57/1.08 thf(zip_derived_cl43, plain, (((sk1) = (sk3))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/1.08 thf(zip_derived_cl49, plain, (((nil) != (sk3))),
% 0.57/1.08 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl43])).
% 0.57/1.08 thf(zip_derived_cl1898, plain,
% 0.57/1.08 (![X0 : $i]:
% 0.57/1.08 (~ (leq @ sk6 @ X0)
% 0.57/1.08 | ~ (memberP @ sk8 @ X0)
% 0.57/1.08 | ~ (memberP @ sk7 @ X0)
% 0.57/1.08 | (leq @ X0 @ sk6)
% 0.57/1.08 | ~ (ssItem @ X0))),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl32, zip_derived_cl49])).
% 0.57/1.08 thf(co1_16, conjecture,
% 0.57/1.08 (~( ( ( app @ ( app @ sk7 @ ( cons @ sk6 @ nil ) ) @ sk8 ) = ( sk3 ) ) |
% 0.57/1.08 ( ( nil ) = ( sk3 ) ) ))).
% 0.57/1.08 thf(zf_stmt_3, negated_conjecture,
% 0.57/1.08 (( ( app @ ( app @ sk7 @ ( cons @ sk6 @ nil ) ) @ sk8 ) = ( sk3 ) ) |
% 0.57/1.08 ( ( nil ) = ( sk3 ) )),
% 0.57/1.08 inference('cnf.neg', [status(esa)], [co1_16])).
% 0.57/1.08 thf(zip_derived_cl33, plain,
% 0.57/1.08 ((((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk3))
% 0.57/1.08 | ((nil) = (sk3)))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/1.08 thf(zip_derived_cl49, plain, (((nil) != (sk3))),
% 0.57/1.08 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl43])).
% 0.57/1.08 thf(zip_derived_cl55, plain,
% 0.57/1.08 (((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk3))),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl33, zip_derived_cl49])).
% 0.57/1.08 thf(co1_9, conjecture,
% 0.57/1.08 (~( ( memberP @ B @ ( sk5 @ C @ B @ A ) ) |
% 0.57/1.08 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 0.57/1.08 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.57/1.08 thf(zf_stmt_4, negated_conjecture,
% 0.57/1.08 (( memberP @ B @ ( sk5 @ C @ B @ A ) ) |
% 0.57/1.08 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 0.57/1.08 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.57/1.08 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.57/1.08 thf(zip_derived_cl40, plain,
% 0.57/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.08 ( (memberP @ X0 @ (sk5 @ X1 @ X0 @ X2))
% 0.57/1.08 | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X1) != (sk1))
% 0.57/1.08 | ~ (ssList @ X1)
% 0.57/1.08 | ~ (ssList @ X0)
% 0.57/1.08 | ~ (ssItem @ X2))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/1.08 thf(zip_derived_cl43, plain, (((sk1) = (sk3))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/1.08 thf(zip_derived_cl2241, plain,
% 0.57/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.08 ( (memberP @ X0 @ (sk5 @ X1 @ X0 @ X2))
% 0.57/1.08 | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X1) != (sk3))
% 0.57/1.08 | ~ (ssList @ X1)
% 0.57/1.08 | ~ (ssList @ X0)
% 0.57/1.08 | ~ (ssItem @ X2))),
% 0.57/1.08 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl43])).
% 0.57/1.08 thf(zip_derived_cl2252, plain,
% 0.57/1.08 ((((sk3) != (sk3))
% 0.57/1.08 | ~ (ssItem @ sk6)
% 0.57/1.08 | ~ (ssList @ sk7)
% 0.57/1.08 | ~ (ssList @ sk8)
% 0.57/1.08 | (memberP @ sk7 @ (sk5 @ sk8 @ sk7 @ sk6)))),
% 0.57/1.08 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl2241])).
% 0.57/1.08 thf(co1_13, conjecture, (~( ( ssItem @ sk6 ) | ( ( nil ) = ( sk3 ) ) ))).
% 0.57/1.08 thf(zf_stmt_5, negated_conjecture,
% 0.57/1.08 (( ssItem @ sk6 ) | ( ( nil ) = ( sk3 ) )),
% 0.57/1.08 inference('cnf.neg', [status(esa)], [co1_13])).
% 0.57/1.08 thf(zip_derived_cl36, plain, (( (ssItem @ sk6) | ((nil) = (sk3)))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/1.08 thf(zip_derived_cl49, plain, (((nil) != (sk3))),
% 0.57/1.08 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl43])).
% 0.57/1.08 thf(zip_derived_cl54, plain, ( (ssItem @ sk6)),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl36, zip_derived_cl49])).
% 0.57/1.08 thf(co1_14, conjecture, (~( ( ssList @ sk7 ) | ( ( nil ) = ( sk3 ) ) ))).
% 0.57/1.08 thf(zf_stmt_6, negated_conjecture,
% 0.57/1.08 (( ssList @ sk7 ) | ( ( nil ) = ( sk3 ) )),
% 0.57/1.08 inference('cnf.neg', [status(esa)], [co1_14])).
% 0.57/1.08 thf(zip_derived_cl35, plain, (( (ssList @ sk7) | ((nil) = (sk3)))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/1.08 thf(zip_derived_cl49, plain, (((nil) != (sk3))),
% 0.57/1.08 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl43])).
% 0.57/1.08 thf(zip_derived_cl53, plain, ( (ssList @ sk7)),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl35, zip_derived_cl49])).
% 0.57/1.08 thf(co1_15, conjecture, (~( ( ssList @ sk8 ) | ( ( nil ) = ( sk3 ) ) ))).
% 0.57/1.08 thf(zf_stmt_7, negated_conjecture,
% 0.57/1.08 (( ssList @ sk8 ) | ( ( nil ) = ( sk3 ) )),
% 0.57/1.08 inference('cnf.neg', [status(esa)], [co1_15])).
% 0.57/1.08 thf(zip_derived_cl34, plain, (( (ssList @ sk8) | ((nil) = (sk3)))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.57/1.08 thf(zip_derived_cl49, plain, (((nil) != (sk3))),
% 0.57/1.08 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl43])).
% 0.57/1.08 thf(zip_derived_cl52, plain, ( (ssList @ sk8)),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl34, zip_derived_cl49])).
% 0.57/1.08 thf(zip_derived_cl2263, plain,
% 0.57/1.08 ((((sk3) != (sk3)) | (memberP @ sk7 @ (sk5 @ sk8 @ sk7 @ sk6)))),
% 0.57/1.08 inference('demod', [status(thm)],
% 0.57/1.08 [zip_derived_cl2252, zip_derived_cl54, zip_derived_cl53,
% 0.57/1.08 zip_derived_cl52])).
% 0.57/1.08 thf(zip_derived_cl2264, plain, ( (memberP @ sk7 @ (sk5 @ sk8 @ sk7 @ sk6))),
% 0.57/1.08 inference('simplify', [status(thm)], [zip_derived_cl2263])).
% 0.57/1.08 thf(zip_derived_cl2490, plain,
% 0.57/1.08 ((~ (ssItem @ (sk5 @ sk8 @ sk7 @ sk6))
% 0.57/1.08 | (leq @ (sk5 @ sk8 @ sk7 @ sk6) @ sk6)
% 0.57/1.08 | ~ (memberP @ sk8 @ (sk5 @ sk8 @ sk7 @ sk6))
% 0.57/1.08 | ~ (leq @ sk6 @ (sk5 @ sk8 @ sk7 @ sk6)))),
% 0.57/1.08 inference('sup+', [status(thm)], [zip_derived_cl1898, zip_derived_cl2264])).
% 0.57/1.08 thf(zip_derived_cl55, plain,
% 0.57/1.08 (((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk3))),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl33, zip_derived_cl49])).
% 0.57/1.08 thf(co1_8, conjecture,
% 0.57/1.08 (~( ( ssItem @ ( sk5 @ C @ B @ A ) ) |
% 0.57/1.08 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 0.57/1.08 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.57/1.08 thf(zf_stmt_8, negated_conjecture,
% 0.57/1.08 (( ssItem @ ( sk5 @ C @ B @ A ) ) |
% 0.57/1.08 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 0.57/1.08 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.57/1.08 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.57/1.08 thf(zip_derived_cl41, plain,
% 0.57/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.08 ( (ssItem @ (sk5 @ X0 @ X1 @ X2))
% 0.57/1.08 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk1))
% 0.57/1.08 | ~ (ssList @ X0)
% 0.57/1.08 | ~ (ssList @ X1)
% 0.57/1.08 | ~ (ssItem @ X2))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.57/1.08 thf(zip_derived_cl43, plain, (((sk1) = (sk3))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/1.08 thf(zip_derived_cl2346, plain,
% 0.57/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.08 ( (ssItem @ (sk5 @ X0 @ X1 @ X2))
% 0.57/1.08 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk3))
% 0.57/1.08 | ~ (ssList @ X0)
% 0.57/1.08 | ~ (ssList @ X1)
% 0.57/1.08 | ~ (ssItem @ X2))),
% 0.57/1.08 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl43])).
% 0.57/1.08 thf(zip_derived_cl2352, plain,
% 0.57/1.08 ((((sk3) != (sk3))
% 0.57/1.08 | ~ (ssItem @ sk6)
% 0.57/1.08 | ~ (ssList @ sk7)
% 0.57/1.08 | ~ (ssList @ sk8)
% 0.57/1.08 | (ssItem @ (sk5 @ sk8 @ sk7 @ sk6)))),
% 0.57/1.08 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl2346])).
% 0.57/1.08 thf(zip_derived_cl54, plain, ( (ssItem @ sk6)),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl36, zip_derived_cl49])).
% 0.57/1.08 thf(zip_derived_cl53, plain, ( (ssList @ sk7)),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl35, zip_derived_cl49])).
% 0.57/1.08 thf(zip_derived_cl52, plain, ( (ssList @ sk8)),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl34, zip_derived_cl49])).
% 0.57/1.08 thf(zip_derived_cl2363, plain,
% 0.57/1.08 ((((sk3) != (sk3)) | (ssItem @ (sk5 @ sk8 @ sk7 @ sk6)))),
% 0.57/1.08 inference('demod', [status(thm)],
% 0.57/1.08 [zip_derived_cl2352, zip_derived_cl54, zip_derived_cl53,
% 0.57/1.08 zip_derived_cl52])).
% 0.57/1.08 thf(zip_derived_cl2364, plain, ( (ssItem @ (sk5 @ sk8 @ sk7 @ sk6))),
% 0.57/1.08 inference('simplify', [status(thm)], [zip_derived_cl2363])).
% 0.57/1.08 thf(zip_derived_cl55, plain,
% 0.57/1.08 (((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk3))),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl33, zip_derived_cl49])).
% 0.57/1.08 thf(co1_12, conjecture,
% 0.57/1.08 (~( ( ~( leq @ ( sk5 @ C @ B @ A ) @ A ) ) |
% 0.57/1.08 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 0.57/1.08 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.57/1.08 thf(zf_stmt_9, negated_conjecture,
% 0.57/1.08 (( ~( leq @ ( sk5 @ C @ B @ A ) @ A ) ) |
% 0.57/1.08 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 0.57/1.08 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.57/1.08 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.57/1.08 thf(zip_derived_cl37, plain,
% 0.57/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.08 (~ (leq @ (sk5 @ X0 @ X1 @ X2) @ X2)
% 0.57/1.08 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk1))
% 0.57/1.08 | ~ (ssList @ X0)
% 0.57/1.08 | ~ (ssList @ X1)
% 0.57/1.08 | ~ (ssItem @ X2))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.57/1.08 thf(zip_derived_cl43, plain, (((sk1) = (sk3))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/1.08 thf(zip_derived_cl1966, plain,
% 0.57/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.08 (~ (leq @ (sk5 @ X0 @ X1 @ X2) @ X2)
% 0.57/1.08 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk3))
% 0.57/1.08 | ~ (ssList @ X0)
% 0.57/1.08 | ~ (ssList @ X1)
% 0.57/1.08 | ~ (ssItem @ X2))),
% 0.57/1.08 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl43])).
% 0.57/1.08 thf(zip_derived_cl1972, plain,
% 0.57/1.08 ((((sk3) != (sk3))
% 0.57/1.08 | ~ (ssItem @ sk6)
% 0.57/1.08 | ~ (ssList @ sk7)
% 0.57/1.08 | ~ (ssList @ sk8)
% 0.57/1.08 | ~ (leq @ (sk5 @ sk8 @ sk7 @ sk6) @ sk6))),
% 0.57/1.08 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl1966])).
% 0.57/1.08 thf(zip_derived_cl54, plain, ( (ssItem @ sk6)),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl36, zip_derived_cl49])).
% 0.57/1.08 thf(zip_derived_cl53, plain, ( (ssList @ sk7)),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl35, zip_derived_cl49])).
% 0.57/1.08 thf(zip_derived_cl52, plain, ( (ssList @ sk8)),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl34, zip_derived_cl49])).
% 0.57/1.08 thf(zip_derived_cl1983, plain,
% 0.57/1.08 ((((sk3) != (sk3)) | ~ (leq @ (sk5 @ sk8 @ sk7 @ sk6) @ sk6))),
% 0.57/1.08 inference('demod', [status(thm)],
% 0.57/1.08 [zip_derived_cl1972, zip_derived_cl54, zip_derived_cl53,
% 0.57/1.08 zip_derived_cl52])).
% 0.57/1.08 thf(zip_derived_cl1984, plain, (~ (leq @ (sk5 @ sk8 @ sk7 @ sk6) @ sk6)),
% 0.57/1.08 inference('simplify', [status(thm)], [zip_derived_cl1983])).
% 0.57/1.08 thf(zip_derived_cl55, plain,
% 0.57/1.08 (((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk3))),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl33, zip_derived_cl49])).
% 0.57/1.08 thf(co1_10, conjecture,
% 0.57/1.08 (~( ( memberP @ C @ ( sk5 @ C @ B @ A ) ) |
% 0.57/1.08 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 0.57/1.08 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.57/1.08 thf(zf_stmt_10, negated_conjecture,
% 0.57/1.08 (( memberP @ C @ ( sk5 @ C @ B @ A ) ) |
% 0.57/1.08 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 0.57/1.08 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.57/1.08 inference('cnf.neg', [status(esa)], [co1_10])).
% 0.57/1.08 thf(zip_derived_cl39, plain,
% 0.57/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.08 ( (memberP @ X0 @ (sk5 @ X0 @ X1 @ X2))
% 0.57/1.08 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk1))
% 0.57/1.08 | ~ (ssList @ X0)
% 0.57/1.08 | ~ (ssList @ X1)
% 0.57/1.08 | ~ (ssItem @ X2))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.57/1.08 thf(zip_derived_cl43, plain, (((sk1) = (sk3))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/1.08 thf(zip_derived_cl2156, plain,
% 0.57/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.08 ( (memberP @ X0 @ (sk5 @ X0 @ X1 @ X2))
% 0.57/1.08 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk3))
% 0.57/1.08 | ~ (ssList @ X0)
% 0.57/1.08 | ~ (ssList @ X1)
% 0.57/1.08 | ~ (ssItem @ X2))),
% 0.57/1.08 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl43])).
% 0.57/1.08 thf(zip_derived_cl2167, plain,
% 0.57/1.08 ((((sk3) != (sk3))
% 0.57/1.08 | ~ (ssItem @ sk6)
% 0.57/1.08 | ~ (ssList @ sk7)
% 0.57/1.08 | ~ (ssList @ sk8)
% 0.57/1.08 | (memberP @ sk8 @ (sk5 @ sk8 @ sk7 @ sk6)))),
% 0.57/1.08 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl2156])).
% 0.57/1.08 thf(zip_derived_cl54, plain, ( (ssItem @ sk6)),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl36, zip_derived_cl49])).
% 0.57/1.08 thf(zip_derived_cl53, plain, ( (ssList @ sk7)),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl35, zip_derived_cl49])).
% 0.57/1.08 thf(zip_derived_cl52, plain, ( (ssList @ sk8)),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl34, zip_derived_cl49])).
% 0.57/1.08 thf(zip_derived_cl2178, plain,
% 0.57/1.08 ((((sk3) != (sk3)) | (memberP @ sk8 @ (sk5 @ sk8 @ sk7 @ sk6)))),
% 0.57/1.08 inference('demod', [status(thm)],
% 0.57/1.08 [zip_derived_cl2167, zip_derived_cl54, zip_derived_cl53,
% 0.57/1.08 zip_derived_cl52])).
% 0.57/1.08 thf(zip_derived_cl2179, plain, ( (memberP @ sk8 @ (sk5 @ sk8 @ sk7 @ sk6))),
% 0.57/1.08 inference('simplify', [status(thm)], [zip_derived_cl2178])).
% 0.57/1.08 thf(zip_derived_cl55, plain,
% 0.57/1.08 (((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk3))),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl33, zip_derived_cl49])).
% 0.57/1.08 thf(co1_11, conjecture,
% 0.57/1.08 (~( ( leq @ A @ ( sk5 @ C @ B @ A ) ) |
% 0.57/1.08 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 0.57/1.08 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.57/1.08 thf(zf_stmt_11, negated_conjecture,
% 0.57/1.08 (( leq @ A @ ( sk5 @ C @ B @ A ) ) |
% 0.57/1.08 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 0.57/1.08 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.57/1.08 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.57/1.08 thf(zip_derived_cl38, plain,
% 0.57/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.08 ( (leq @ X0 @ (sk5 @ X1 @ X2 @ X0))
% 0.57/1.08 | ((app @ (app @ X2 @ (cons @ X0 @ nil)) @ X1) != (sk1))
% 0.57/1.08 | ~ (ssList @ X1)
% 0.57/1.08 | ~ (ssList @ X2)
% 0.57/1.08 | ~ (ssItem @ X0))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.57/1.08 thf(zip_derived_cl43, plain, (((sk1) = (sk3))),
% 0.57/1.08 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/1.08 thf(zip_derived_cl2058, plain,
% 0.57/1.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/1.08 ( (leq @ X0 @ (sk5 @ X1 @ X2 @ X0))
% 0.57/1.08 | ((app @ (app @ X2 @ (cons @ X0 @ nil)) @ X1) != (sk3))
% 0.57/1.08 | ~ (ssList @ X1)
% 0.57/1.08 | ~ (ssList @ X2)
% 0.57/1.08 | ~ (ssItem @ X0))),
% 0.57/1.08 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl43])).
% 0.57/1.08 thf(zip_derived_cl2067, plain,
% 0.57/1.08 ((((sk3) != (sk3))
% 0.57/1.08 | ~ (ssItem @ sk6)
% 0.57/1.08 | ~ (ssList @ sk7)
% 0.57/1.08 | ~ (ssList @ sk8)
% 0.57/1.08 | (leq @ sk6 @ (sk5 @ sk8 @ sk7 @ sk6)))),
% 0.57/1.08 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl2058])).
% 0.57/1.08 thf(zip_derived_cl54, plain, ( (ssItem @ sk6)),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl36, zip_derived_cl49])).
% 0.57/1.08 thf(zip_derived_cl53, plain, ( (ssList @ sk7)),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl35, zip_derived_cl49])).
% 0.57/1.08 thf(zip_derived_cl52, plain, ( (ssList @ sk8)),
% 0.57/1.08 inference('simplify_reflect-', [status(thm)],
% 0.57/1.08 [zip_derived_cl34, zip_derived_cl49])).
% 0.57/1.08 thf(zip_derived_cl2078, plain,
% 0.57/1.08 ((((sk3) != (sk3)) | (leq @ sk6 @ (sk5 @ sk8 @ sk7 @ sk6)))),
% 0.57/1.08 inference('demod', [status(thm)],
% 0.57/1.08 [zip_derived_cl2067, zip_derived_cl54, zip_derived_cl53,
% 0.57/1.08 zip_derived_cl52])).
% 0.57/1.08 thf(zip_derived_cl2079, plain, ( (leq @ sk6 @ (sk5 @ sk8 @ sk7 @ sk6))),
% 0.57/1.08 inference('simplify', [status(thm)], [zip_derived_cl2078])).
% 0.57/1.08 thf(zip_derived_cl2491, plain, ($false),
% 0.57/1.08 inference('demod', [status(thm)],
% 0.57/1.08 [zip_derived_cl2490, zip_derived_cl2364, zip_derived_cl1984,
% 0.57/1.08 zip_derived_cl2179, zip_derived_cl2079])).
% 0.57/1.08
% 0.57/1.08 % SZS output end Refutation
% 0.57/1.08
% 0.57/1.08
% 0.57/1.08 % Terminating...
% 0.57/1.15 % Runner terminated.
% 1.74/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------