TSTP Solution File: SWC324-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC324-1 : 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.HiF5RJF6Bw true
% Computer : n005.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 21:30:45 EDT 2023
% Result : Unsatisfiable 1.34s 0.94s
% Output : Refutation 1.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC324-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HiF5RJF6Bw true
% 0.14/0.34 % Computer : n005.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 16:11:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/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
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.02/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.02/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.02/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.94 % Solved by fo/fo13.sh.
% 1.34/0.94 % done 244 iterations in 0.169s
% 1.34/0.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.94 % SZS output start Refutation
% 1.34/0.94 thf(nil_type, type, nil: $i).
% 1.34/0.94 thf(cons_type, type, cons: $i > $i > $i).
% 1.34/0.94 thf(sk2_type, type, sk2: $i).
% 1.34/0.94 thf(sk4_type, type, sk4: $i).
% 1.34/0.94 thf(ssItem_type, type, ssItem: $i > $o).
% 1.34/0.94 thf(skaf44_type, type, skaf44: $i > $i).
% 1.34/0.94 thf(skaf82_type, type, skaf82: $i > $i).
% 1.34/0.94 thf(sk3_type, type, sk3: $i).
% 1.34/0.94 thf(skaf83_type, type, skaf83: $i > $i).
% 1.34/0.94 thf(app_type, type, app: $i > $i > $i).
% 1.34/0.94 thf(ssList_type, type, ssList: $i > $o).
% 1.34/0.94 thf(sk1_type, type, sk1: $i).
% 1.34/0.94 thf(singletonP_type, type, singletonP: $i > $o).
% 1.34/0.94 thf(clause86, axiom,
% 1.34/0.94 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 1.34/0.94 thf(zip_derived_cl85, plain,
% 1.34/0.94 (![X0 : $i, X1 : $i]:
% 1.34/0.94 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 1.34/0.94 inference('cnf', [status(esa)], [clause86])).
% 1.34/0.94 thf(clause109, axiom,
% 1.34/0.94 (( ~( ssList @ U ) ) |
% 1.34/0.94 ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) |
% 1.34/0.94 ( ( nil ) = ( U ) ))).
% 1.34/0.94 thf(zip_derived_cl108, plain,
% 1.34/0.94 (![X0 : $i]:
% 1.34/0.94 (~ (ssList @ X0)
% 1.34/0.94 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 1.34/0.94 | ((nil) = (X0)))),
% 1.34/0.94 inference('cnf', [status(esa)], [clause109])).
% 1.34/0.94 thf(clause120, axiom,
% 1.34/0.94 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 1.34/0.94 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 1.34/0.94 thf(zip_derived_cl119, plain,
% 1.34/0.94 (![X0 : $i, X1 : $i]:
% 1.34/0.94 (~ (ssItem @ X0)
% 1.34/0.94 | ~ (ssList @ X1)
% 1.34/0.94 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 1.34/0.94 inference('cnf', [status(esa)], [clause120])).
% 1.34/0.94 thf(clause101, axiom,
% 1.34/0.94 (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) |
% 1.34/0.94 ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 1.34/0.94 thf(zip_derived_cl100, plain,
% 1.34/0.94 (![X0 : $i]:
% 1.34/0.94 (~ (singletonP @ X0)
% 1.34/0.94 | ~ (ssList @ X0)
% 1.34/0.94 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 1.34/0.94 inference('cnf', [status(esa)], [clause101])).
% 1.34/0.94 thf(co1_8, conjecture,
% 1.34/0.94 (~( ( ( app @ ( cons @ A @ nil ) @ B ) != ( sk4 ) ) |
% 1.34/0.94 ( ( app @ B @ ( cons @ A @ nil ) ) = ( sk3 ) ) | ( ~( ssList @ B ) ) |
% 1.34/0.94 ( ~( ssItem @ A ) ) ))).
% 1.34/0.94 thf(zf_stmt_0, negated_conjecture,
% 1.34/0.94 (( ( app @ ( cons @ A @ nil ) @ B ) != ( sk4 ) ) |
% 1.34/0.94 ( ( app @ B @ ( cons @ A @ nil ) ) = ( sk3 ) ) | ( ~( ssList @ B ) ) |
% 1.34/0.94 ( ~( ssItem @ A ) )),
% 1.34/0.94 inference('cnf.neg', [status(esa)], [co1_8])).
% 1.34/0.94 thf(zip_derived_cl192, plain,
% 1.34/0.94 (![X0 : $i, X1 : $i]:
% 1.34/0.94 (((app @ (cons @ X0 @ nil) @ X1) != (sk4))
% 1.34/0.94 | ((app @ X1 @ (cons @ X0 @ nil)) = (sk3))
% 1.34/0.94 | ~ (ssList @ X1)
% 1.34/0.94 | ~ (ssItem @ X0))),
% 1.34/0.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.34/0.94 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 1.34/0.94 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 1.34/0.94 inference('cnf.neg', [status(esa)], [co1_5])).
% 1.34/0.94 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 1.34/0.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.34/0.94 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 1.34/0.94 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 1.34/0.94 inference('cnf.neg', [status(esa)], [co1_6])).
% 1.34/0.94 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 1.34/0.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.34/0.94 thf(zip_derived_cl197, plain,
% 1.34/0.94 (![X0 : $i, X1 : $i]:
% 1.34/0.94 (((app @ (cons @ X0 @ nil) @ X1) != (sk2))
% 1.34/0.94 | ((app @ X1 @ (cons @ X0 @ nil)) = (sk1))
% 1.34/0.94 | ~ (ssList @ X1)
% 1.34/0.94 | ~ (ssItem @ X0))),
% 1.34/0.94 inference('demod', [status(thm)],
% 1.34/0.94 [zip_derived_cl192, zip_derived_cl189, zip_derived_cl190])).
% 1.34/0.94 thf(zip_derived_cl633, plain,
% 1.34/0.94 (![X0 : $i, X1 : $i]:
% 1.34/0.94 (~ (ssList @ X0)
% 1.34/0.94 | ~ (singletonP @ X0)
% 1.34/0.94 | ((app @ X0 @ X1) != (sk2))
% 1.34/0.94 | ((app @ X1 @ X0) = (sk1))
% 1.34/0.94 | ~ (ssList @ X1)
% 1.34/0.94 | ~ (ssItem @ (skaf44 @ X0)))),
% 1.34/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl197])).
% 1.34/0.94 thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 1.34/0.94 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 1.34/0.94 inference('cnf', [status(esa)], [clause47])).
% 1.34/0.94 thf(zip_derived_cl637, plain,
% 1.34/0.94 (![X0 : $i, X1 : $i]:
% 1.34/0.94 (~ (ssList @ X0)
% 1.34/0.94 | ~ (singletonP @ X0)
% 1.34/0.94 | ((app @ X0 @ X1) != (sk2))
% 1.34/0.94 | ((app @ X1 @ X0) = (sk1))
% 1.34/0.94 | ~ (ssList @ X1))),
% 1.34/0.94 inference('demod', [status(thm)], [zip_derived_cl633, zip_derived_cl46])).
% 1.34/0.94 thf(co1_7, conjecture,
% 1.34/0.94 (~( ( ( app @ B @ A ) != ( sk1 ) ) | ( ( app @ A @ B ) != ( sk2 ) ) |
% 1.34/0.94 ( ~( ssList @ B ) ) | ( ~( ssList @ A ) ) ))).
% 1.34/0.94 thf(zf_stmt_3, negated_conjecture,
% 1.34/0.94 (( ( app @ B @ A ) != ( sk1 ) ) | ( ( app @ A @ B ) != ( sk2 ) ) |
% 1.34/0.94 ( ~( ssList @ B ) ) | ( ~( ssList @ A ) )),
% 1.34/0.94 inference('cnf.neg', [status(esa)], [co1_7])).
% 1.34/0.94 thf(zip_derived_cl191, plain,
% 1.34/0.94 (![X0 : $i, X1 : $i]:
% 1.34/0.94 (((app @ X0 @ X1) != (sk1))
% 1.34/0.94 | ((app @ X1 @ X0) != (sk2))
% 1.34/0.94 | ~ (ssList @ X0)
% 1.34/0.94 | ~ (ssList @ X1))),
% 1.34/0.94 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.34/0.94 thf(zip_derived_cl690, plain,
% 1.34/0.94 (![X0 : $i, X1 : $i]:
% 1.34/0.94 (~ (ssList @ X1)
% 1.34/0.94 | ((app @ X0 @ X1) != (sk2))
% 1.34/0.94 | ~ (singletonP @ X0)
% 1.34/0.94 | ~ (ssList @ X0))),
% 1.34/0.94 inference('clc', [status(thm)], [zip_derived_cl637, zip_derived_cl191])).
% 1.34/0.94 thf(zip_derived_cl695, plain,
% 1.34/0.94 (![X0 : $i, X1 : $i]:
% 1.34/0.94 (~ (ssList @ X0)
% 1.34/0.94 | ~ (ssItem @ X1)
% 1.34/0.94 | ~ (ssList @ X0)
% 1.34/0.94 | ((cons @ X1 @ X0) != (sk2))
% 1.34/0.94 | ~ (singletonP @ (cons @ X1 @ nil))
% 1.34/0.94 | ~ (ssList @ (cons @ X1 @ nil)))),
% 1.34/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl690])).
% 1.34/0.94 thf(zip_derived_cl702, plain,
% 1.34/0.94 (![X0 : $i, X1 : $i]:
% 1.34/0.94 (~ (ssList @ (cons @ X1 @ nil))
% 1.34/0.94 | ~ (singletonP @ (cons @ X1 @ nil))
% 1.34/0.94 | ((cons @ X1 @ X0) != (sk2))
% 1.34/0.94 | ~ (ssItem @ X1)
% 1.34/0.94 | ~ (ssList @ X0))),
% 1.34/0.94 inference('simplify', [status(thm)], [zip_derived_cl695])).
% 1.34/0.94 thf(zip_derived_cl722, plain,
% 1.34/0.94 (![X0 : $i]:
% 1.34/0.94 (((nil) = (X0))
% 1.34/0.94 | ~ (ssList @ X0)
% 1.34/0.94 | ~ (ssList @ (cons @ (skaf83 @ X0) @ nil))
% 1.34/0.94 | ~ (singletonP @ (cons @ (skaf83 @ X0) @ nil))
% 1.34/0.94 | ((X0) != (sk2))
% 1.34/0.94 | ~ (ssItem @ (skaf83 @ X0))
% 1.34/0.94 | ~ (ssList @ (skaf82 @ X0)))),
% 1.34/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl702])).
% 1.34/0.94 thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 1.34/0.94 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 1.34/0.94 inference('cnf', [status(esa)], [clause12])).
% 1.34/0.94 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 1.34/0.94 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 1.34/0.94 inference('cnf', [status(esa)], [clause13])).
% 1.34/0.94 thf(zip_derived_cl725, plain,
% 1.34/0.94 (![X0 : $i]:
% 1.34/0.94 (((nil) = (X0))
% 1.34/0.94 | ~ (ssList @ X0)
% 1.34/0.94 | ~ (ssList @ (cons @ (skaf83 @ X0) @ nil))
% 1.34/0.94 | ~ (singletonP @ (cons @ (skaf83 @ X0) @ nil))
% 1.34/0.94 | ((X0) != (sk2)))),
% 1.34/0.94 inference('demod', [status(thm)],
% 1.34/0.94 [zip_derived_cl722, zip_derived_cl11, zip_derived_cl12])).
% 1.34/0.94 thf(zip_derived_cl788, plain,
% 1.34/0.94 ((~ (singletonP @ (cons @ (skaf83 @ sk2) @ nil))
% 1.34/0.94 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 1.34/0.94 | ~ (ssList @ sk2)
% 1.34/0.94 | ((nil) = (sk2)))),
% 1.34/0.94 inference('eq_res', [status(thm)], [zip_derived_cl725])).
% 1.34/0.94 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 1.34/0.94 thf(zf_stmt_4, negated_conjecture, (ssList @ sk2),
% 1.34/0.94 inference('cnf.neg', [status(esa)], [co1_2])).
% 1.34/0.94 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 1.34/0.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.34/0.94 thf(zip_derived_cl789, plain,
% 1.34/0.94 ((~ (singletonP @ (cons @ (skaf83 @ sk2) @ nil))
% 1.34/0.94 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 1.34/0.94 | ((nil) = (sk2)))),
% 1.34/0.94 inference('demod', [status(thm)], [zip_derived_cl788, zip_derived_cl186])).
% 1.34/0.94 thf(clause145, axiom,
% 1.34/0.94 (( ( nil ) != ( U ) ) | ( ( nil ) != ( V ) ) | ( ~( ssList @ V ) ) |
% 1.34/0.94 ( ~( ssList @ U ) ) | ( ( app @ U @ V ) = ( nil ) ))).
% 1.34/0.94 thf(zip_derived_cl144, plain,
% 1.34/0.94 (![X0 : $i, X1 : $i]:
% 1.34/0.94 (((nil) != (X0))
% 1.34/0.94 | ((nil) != (X1))
% 1.34/0.94 | ~ (ssList @ X1)
% 1.34/0.94 | ~ (ssList @ X0)
% 1.34/0.94 | ((app @ X0 @ X1) = (nil)))),
% 1.34/0.94 inference('cnf', [status(esa)], [clause145])).
% 1.34/0.94 thf(zip_derived_cl266, plain,
% 1.34/0.94 (![X0 : $i]:
% 1.34/0.94 (((app @ nil @ X0) = (nil))
% 1.34/0.94 | ~ (ssList @ nil)
% 1.34/0.94 | ~ (ssList @ X0)
% 1.34/0.94 | ((nil) != (X0)))),
% 1.34/0.94 inference('eq_res', [status(thm)], [zip_derived_cl144])).
% 1.34/0.94 thf(clause8, axiom, (ssList @ nil)).
% 1.34/0.94 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.34/0.94 inference('cnf', [status(esa)], [clause8])).
% 1.34/0.94 thf(zip_derived_cl267, plain,
% 1.34/0.94 (![X0 : $i]:
% 1.34/0.94 (((app @ nil @ X0) = (nil)) | ~ (ssList @ X0) | ((nil) != (X0)))),
% 1.34/0.94 inference('demod', [status(thm)], [zip_derived_cl266, zip_derived_cl7])).
% 1.34/0.94 thf(zip_derived_cl268, plain,
% 1.34/0.94 ((~ (ssList @ nil) | ((app @ nil @ nil) = (nil)))),
% 1.34/0.94 inference('eq_res', [status(thm)], [zip_derived_cl267])).
% 1.34/0.94 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.34/0.94 inference('cnf', [status(esa)], [clause8])).
% 1.34/0.94 thf(zip_derived_cl269, plain, (((app @ nil @ nil) = (nil))),
% 1.34/0.94 inference('demod', [status(thm)], [zip_derived_cl268, zip_derived_cl7])).
% 1.34/0.94 thf(zip_derived_cl191, plain,
% 1.34/0.94 (![X0 : $i, X1 : $i]:
% 1.34/0.94 (((app @ X0 @ X1) != (sk1))
% 1.34/0.94 | ((app @ X1 @ X0) != (sk2))
% 1.34/0.94 | ~ (ssList @ X0)
% 1.34/0.94 | ~ (ssList @ X1))),
% 1.34/0.94 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.34/0.94 thf(zip_derived_cl301, plain,
% 1.34/0.94 ((((nil) != (sk1))
% 1.34/0.94 | ((nil) != (sk2))
% 1.34/0.94 | ~ (ssList @ nil)
% 1.34/0.94 | ~ (ssList @ nil))),
% 1.34/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl191])).
% 1.34/0.94 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.34/0.94 inference('cnf', [status(esa)], [clause8])).
% 1.34/0.94 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.34/0.94 inference('cnf', [status(esa)], [clause8])).
% 1.34/0.94 thf(zip_derived_cl307, plain, ((((nil) != (sk1)) | ((nil) != (sk2)))),
% 1.34/0.94 inference('demod', [status(thm)],
% 1.34/0.94 [zip_derived_cl301, zip_derived_cl7, zip_derived_cl7])).
% 1.34/0.94 thf(co1_9, conjecture, (~( ( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) ) ))).
% 1.34/0.94 thf(zf_stmt_5, negated_conjecture,
% 1.34/0.94 (( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) )),
% 1.34/0.94 inference('cnf.neg', [status(esa)], [co1_9])).
% 1.34/0.94 thf(zip_derived_cl193, plain, ((((nil) != (sk4)) | ((nil) = (sk3)))),
% 1.34/0.94 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.34/0.94 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 1.34/0.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.34/0.94 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 1.34/0.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.34/0.94 thf(zip_derived_cl194, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 1.34/0.94 inference('demod', [status(thm)],
% 1.34/0.94 [zip_derived_cl193, zip_derived_cl189, zip_derived_cl190])).
% 1.34/0.94 thf(zip_derived_cl308, plain, (((nil) != (sk2))),
% 1.34/0.94 inference('clc', [status(thm)], [zip_derived_cl307, zip_derived_cl194])).
% 1.34/0.94 thf(zip_derived_cl790, plain,
% 1.34/0.94 ((~ (singletonP @ (cons @ (skaf83 @ sk2) @ nil))
% 1.34/0.94 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil)))),
% 1.34/0.94 inference('simplify_reflect-', [status(thm)],
% 1.34/0.94 [zip_derived_cl789, zip_derived_cl308])).
% 1.34/0.94 thf(clause116, axiom,
% 1.34/0.94 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 1.34/0.94 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 1.34/0.94 thf(zip_derived_cl115, plain,
% 1.34/0.94 (![X0 : $i, X1 : $i]:
% 1.34/0.94 (((cons @ X1 @ nil) != (X0))
% 1.34/0.94 | ~ (ssItem @ X1)
% 1.34/0.94 | ~ (ssList @ X0)
% 1.34/0.94 | (singletonP @ X0))),
% 1.34/0.94 inference('cnf', [status(esa)], [clause116])).
% 1.34/0.94 thf(zip_derived_cl803, plain,
% 1.34/0.94 (![X0 : $i]:
% 1.34/0.94 (~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 1.34/0.94 | ((cons @ X0 @ nil) != (cons @ (skaf83 @ sk2) @ nil))
% 1.34/0.94 | ~ (ssItem @ X0)
% 1.34/0.94 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil)))),
% 1.34/0.94 inference('s_sup+', [status(thm)], [zip_derived_cl790, zip_derived_cl115])).
% 1.34/0.94 thf(zip_derived_cl804, plain,
% 1.34/0.94 (![X0 : $i]:
% 1.34/0.94 (~ (ssItem @ X0)
% 1.34/0.94 | ((cons @ X0 @ nil) != (cons @ (skaf83 @ sk2) @ nil))
% 1.34/0.94 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil)))),
% 1.34/0.94 inference('simplify', [status(thm)], [zip_derived_cl803])).
% 1.34/0.94 thf(zip_derived_cl805, plain,
% 1.34/0.94 (![X0 : $i]:
% 1.34/0.94 (~ (ssList @ nil)
% 1.34/0.94 | ~ (ssItem @ (skaf83 @ sk2))
% 1.34/0.94 | ~ (ssItem @ X0)
% 1.34/0.94 | ((cons @ X0 @ nil) != (cons @ (skaf83 @ sk2) @ nil)))),
% 1.34/0.94 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl804])).
% 1.34/0.94 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.34/0.94 inference('cnf', [status(esa)], [clause8])).
% 1.34/0.94 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 1.34/0.94 inference('cnf', [status(esa)], [clause12])).
% 1.34/0.94 thf(zip_derived_cl806, plain,
% 1.34/0.94 (![X0 : $i]:
% 1.34/0.94 (~ (ssItem @ X0)
% 1.34/0.94 | ((cons @ X0 @ nil) != (cons @ (skaf83 @ sk2) @ nil)))),
% 1.34/0.94 inference('demod', [status(thm)],
% 1.34/0.94 [zip_derived_cl805, zip_derived_cl7, zip_derived_cl11])).
% 1.34/0.94 thf(zip_derived_cl808, plain, (~ (ssItem @ (skaf83 @ sk2))),
% 1.34/0.94 inference('eq_res', [status(thm)], [zip_derived_cl806])).
% 1.34/0.94 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 1.34/0.94 inference('cnf', [status(esa)], [clause12])).
% 1.34/0.94 thf(zip_derived_cl809, plain, ($false),
% 1.34/0.94 inference('demod', [status(thm)], [zip_derived_cl808, zip_derived_cl11])).
% 1.34/0.94
% 1.34/0.94 % SZS output end Refutation
% 1.34/0.94
% 1.34/0.94
% 1.34/0.94 % Terminating...
% 1.53/1.05 % Runner terminated.
% 1.64/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------