TSTP Solution File: SWC211-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC211-1 : 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.pZxeo633Qt true
% Computer : n023.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 21:29:55 EDT 2023
% Result : Unsatisfiable 0.55s 0.86s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC211-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pZxeo633Qt true
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 16:33:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/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
% 0.53/0.65 % Total configuration time : 435
% 0.53/0.65 % Estimated wc time : 1092
% 0.53/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.86 % Solved by fo/fo6_bce.sh.
% 0.55/0.86 % BCE start: 195
% 0.55/0.86 % BCE eliminated: 0
% 0.55/0.86 % PE start: 195
% 0.55/0.86 logic: eq
% 0.55/0.86 % PE eliminated: 7
% 0.55/0.86 % done 212 iterations in 0.165s
% 0.55/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.86 % SZS output start Refutation
% 0.55/0.86 thf(nil_type, type, nil: $i).
% 0.55/0.86 thf(cons_type, type, cons: $i > $i > $i).
% 0.55/0.86 thf(sk2_type, type, sk2: $i).
% 0.55/0.86 thf(sk4_type, type, sk4: $i).
% 0.55/0.86 thf(ssItem_type, type, ssItem: $i > $o).
% 0.55/0.86 thf(skaf82_type, type, skaf82: $i > $i).
% 0.55/0.86 thf(sk3_type, type, sk3: $i).
% 0.55/0.86 thf(skaf83_type, type, skaf83: $i > $i).
% 0.55/0.86 thf(neq_type, type, neq: $i > $i > $o).
% 0.55/0.86 thf(app_type, type, app: $i > $i > $i).
% 0.55/0.86 thf(ssList_type, type, ssList: $i > $o).
% 0.55/0.86 thf(sk1_type, type, sk1: $i).
% 0.55/0.86 thf(singletonP_type, type, singletonP: $i > $o).
% 0.55/0.86 thf(clause86, axiom,
% 0.55/0.86 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 0.55/0.86 thf(zip_derived_cl85, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 0.55/0.86 inference('cnf', [status(esa)], [clause86])).
% 0.55/0.86 thf(clause109, axiom,
% 0.55/0.86 (( ~( ssList @ U ) ) |
% 0.55/0.86 ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) |
% 0.55/0.86 ( ( nil ) = ( U ) ))).
% 0.55/0.86 thf(zip_derived_cl108, plain,
% 0.55/0.86 (![X0 : $i]:
% 0.55/0.86 (~ (ssList @ X0)
% 0.55/0.86 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 0.55/0.86 | ((nil) = (X0)))),
% 0.55/0.86 inference('cnf', [status(esa)], [clause109])).
% 0.55/0.86 thf(clause120, axiom,
% 0.55/0.86 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 0.55/0.86 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 0.55/0.86 thf(zip_derived_cl119, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (~ (ssItem @ X0)
% 0.55/0.86 | ~ (ssList @ X1)
% 0.55/0.86 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 0.55/0.86 inference('cnf', [status(esa)], [clause120])).
% 0.55/0.86 thf(co1_8, conjecture,
% 0.55/0.86 (~( ( ( app @ ( cons @ A @ nil ) @ B ) != ( sk4 ) ) |
% 0.55/0.86 ( ( app @ B @ ( cons @ A @ nil ) ) = ( sk3 ) ) | ( ~( ssList @ B ) ) |
% 0.55/0.86 ( ~( ssItem @ A ) ) ))).
% 0.55/0.86 thf(zf_stmt_0, negated_conjecture,
% 0.55/0.86 (( ( app @ ( cons @ A @ nil ) @ B ) != ( sk4 ) ) |
% 0.55/0.86 ( ( app @ B @ ( cons @ A @ nil ) ) = ( sk3 ) ) | ( ~( ssList @ B ) ) |
% 0.55/0.86 ( ~( ssItem @ A ) )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.55/0.86 thf(zip_derived_cl192, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (((app @ (cons @ X0 @ nil) @ X1) != (sk4))
% 0.55/0.86 | ((app @ X1 @ (cons @ X0 @ nil)) = (sk3))
% 0.55/0.86 | ~ (ssList @ X1)
% 0.55/0.86 | ~ (ssItem @ X0))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.86 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.55/0.86 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.55/0.86 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.86 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.55/0.86 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.55/0.86 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.86 thf(clause100, axiom,
% 0.55/0.86 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 0.55/0.86 ( ( V ) = ( U ) ))).
% 0.55/0.86 thf(zip_derived_cl99, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.55/0.86 inference('cnf', [status(esa)], [clause100])).
% 0.55/0.86 thf(co1_9, conjecture, (neq @ sk1 @ nil)).
% 0.55/0.86 thf(zf_stmt_3, negated_conjecture, (~( neq @ sk1 @ nil )),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.55/0.86 thf(zip_derived_cl193, plain, (~ (neq @ sk1 @ nil)),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.86 thf(zip_derived_cl1361, plain,
% 0.55/0.86 ((((sk1) = (nil)) | ~ (ssList @ sk1) | ~ (ssList @ nil))),
% 0.55/0.86 inference('dp-resolution', [status(thm)],
% 0.55/0.86 [zip_derived_cl99, zip_derived_cl193])).
% 0.55/0.86 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 0.55/0.86 thf(zf_stmt_4, negated_conjecture, (ssList @ sk1),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [co1_1])).
% 0.55/0.86 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/0.86 thf(clause8, axiom, (ssList @ nil)).
% 0.55/0.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.55/0.86 inference('cnf', [status(esa)], [clause8])).
% 0.55/0.86 thf(zip_derived_cl1394, plain, (((sk1) = (nil))),
% 0.55/0.86 inference('demod', [status(thm)],
% 0.55/0.86 [zip_derived_cl1361, zip_derived_cl185, zip_derived_cl7])).
% 0.55/0.86 thf(zip_derived_cl1396, plain, (((nil) = (sk3))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl190, zip_derived_cl1394])).
% 0.55/0.86 thf(zip_derived_cl1453, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (((app @ (cons @ X0 @ nil) @ X1) != (sk2))
% 0.55/0.86 | ((app @ X1 @ (cons @ X0 @ nil)) = (nil))
% 0.55/0.86 | ~ (ssList @ X1)
% 0.55/0.86 | ~ (ssItem @ X0))),
% 0.55/0.86 inference('demod', [status(thm)],
% 0.55/0.86 [zip_derived_cl192, zip_derived_cl189, zip_derived_cl1396])).
% 0.55/0.86 thf(zip_derived_cl1590, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (~ (ssList @ X0)
% 0.55/0.86 | ~ (ssItem @ X1)
% 0.55/0.86 | ((cons @ X1 @ X0) != (sk2))
% 0.55/0.86 | ((app @ X0 @ (cons @ X1 @ nil)) = (nil))
% 0.55/0.86 | ~ (ssList @ X0)
% 0.55/0.86 | ~ (ssItem @ X1))),
% 0.55/0.86 inference('s_sup-', [status(thm)],
% 0.55/0.86 [zip_derived_cl119, zip_derived_cl1453])).
% 0.55/0.86 thf(zip_derived_cl1599, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (((app @ X0 @ (cons @ X1 @ nil)) = (nil))
% 0.55/0.86 | ((cons @ X1 @ X0) != (sk2))
% 0.55/0.86 | ~ (ssItem @ X1)
% 0.55/0.86 | ~ (ssList @ X0))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1590])).
% 0.55/0.86 thf(clause118, axiom,
% 0.55/0.86 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 0.55/0.86 ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.55/0.86 thf(zip_derived_cl117, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (((app @ X0 @ X1) != (nil))
% 0.55/0.86 | ~ (ssList @ X1)
% 0.55/0.86 | ~ (ssList @ X0)
% 0.55/0.86 | ((nil) = (X0)))),
% 0.55/0.86 inference('cnf', [status(esa)], [clause118])).
% 0.55/0.86 thf(zip_derived_cl1700, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (~ (ssList @ X1)
% 0.55/0.86 | ~ (ssItem @ X0)
% 0.55/0.86 | ((cons @ X0 @ X1) != (sk2))
% 0.55/0.86 | ((nil) != (nil))
% 0.55/0.86 | ~ (ssList @ (cons @ X0 @ nil))
% 0.55/0.86 | ~ (ssList @ X1)
% 0.55/0.86 | ((nil) = (X1)))),
% 0.55/0.86 inference('s_sup-', [status(thm)],
% 0.55/0.86 [zip_derived_cl1599, zip_derived_cl117])).
% 0.55/0.86 thf(zip_derived_cl1713, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (((nil) = (X1))
% 0.55/0.86 | ~ (ssList @ (cons @ X0 @ nil))
% 0.55/0.86 | ((cons @ X0 @ X1) != (sk2))
% 0.55/0.86 | ~ (ssItem @ X0)
% 0.55/0.86 | ~ (ssList @ X1))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1700])).
% 0.55/0.86 thf(zip_derived_cl1879, plain,
% 0.55/0.86 (![X0 : $i]:
% 0.55/0.86 (((nil) = (X0))
% 0.55/0.86 | ~ (ssList @ X0)
% 0.55/0.86 | ((nil) = (skaf82 @ X0))
% 0.55/0.86 | ~ (ssList @ (cons @ (skaf83 @ X0) @ nil))
% 0.55/0.86 | ((X0) != (sk2))
% 0.55/0.86 | ~ (ssItem @ (skaf83 @ X0))
% 0.55/0.86 | ~ (ssList @ (skaf82 @ X0)))),
% 0.55/0.86 inference('s_sup-', [status(thm)],
% 0.55/0.86 [zip_derived_cl108, zip_derived_cl1713])).
% 0.55/0.86 thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 0.55/0.86 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 0.55/0.86 inference('cnf', [status(esa)], [clause12])).
% 0.55/0.86 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 0.55/0.86 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 0.55/0.86 inference('cnf', [status(esa)], [clause13])).
% 0.55/0.86 thf(zip_derived_cl1881, plain,
% 0.55/0.86 (![X0 : $i]:
% 0.55/0.86 (((nil) = (X0))
% 0.55/0.86 | ~ (ssList @ X0)
% 0.55/0.86 | ((nil) = (skaf82 @ X0))
% 0.55/0.86 | ~ (ssList @ (cons @ (skaf83 @ X0) @ nil))
% 0.55/0.86 | ((X0) != (sk2)))),
% 0.55/0.86 inference('demod', [status(thm)],
% 0.55/0.86 [zip_derived_cl1879, zip_derived_cl11, zip_derived_cl12])).
% 0.55/0.86 thf(zip_derived_cl1938, plain,
% 0.55/0.86 ((~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 0.55/0.86 | ((nil) = (skaf82 @ sk2))
% 0.55/0.86 | ~ (ssList @ sk2)
% 0.55/0.86 | ((nil) = (sk2)))),
% 0.55/0.86 inference('eq_res', [status(thm)], [zip_derived_cl1881])).
% 0.55/0.86 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 0.55/0.86 thf(zf_stmt_5, negated_conjecture, (ssList @ sk2),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [co1_2])).
% 0.55/0.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.86 thf(zip_derived_cl1939, plain,
% 0.55/0.86 ((~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 0.55/0.86 | ((nil) = (skaf82 @ sk2))
% 0.55/0.86 | ((nil) = (sk2)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl1938, zip_derived_cl186])).
% 0.55/0.86 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 0.55/0.86 thf(zf_stmt_6, negated_conjecture, (neq @ sk2 @ nil),
% 0.55/0.86 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.55/0.86 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.55/0.86 thf(clause115, axiom,
% 0.55/0.86 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 0.55/0.86 ( ~( ssList @ U ) ))).
% 0.55/0.86 thf(zip_derived_cl114, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (((X1) != (X0))
% 0.55/0.86 | ~ (neq @ X1 @ X0)
% 0.55/0.86 | ~ (ssList @ X0)
% 0.55/0.86 | ~ (ssList @ X1))),
% 0.55/0.86 inference('cnf', [status(esa)], [clause115])).
% 0.55/0.86 thf(zip_derived_cl1365, plain,
% 0.55/0.86 ((~ (ssList @ sk2) | ~ (ssList @ nil) | ((sk2) != (nil)))),
% 0.55/0.86 inference('dp-resolution', [status(thm)],
% 0.55/0.86 [zip_derived_cl191, zip_derived_cl114])).
% 0.55/0.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.55/0.86 inference('cnf', [status(esa)], [clause8])).
% 0.55/0.86 thf(zip_derived_cl1391, plain, (((sk2) != (nil))),
% 0.55/0.86 inference('demod', [status(thm)],
% 0.55/0.86 [zip_derived_cl1365, zip_derived_cl186, zip_derived_cl7])).
% 0.55/0.86 thf(zip_derived_cl1940, plain,
% 0.55/0.86 ((~ (ssList @ (cons @ (skaf83 @ sk2) @ nil)) | ((nil) = (skaf82 @ sk2)))),
% 0.55/0.86 inference('simplify_reflect-', [status(thm)],
% 0.55/0.86 [zip_derived_cl1939, zip_derived_cl1391])).
% 0.55/0.86 thf(zip_derived_cl1981, plain,
% 0.55/0.86 ((~ (ssList @ nil)
% 0.55/0.86 | ~ (ssItem @ (skaf83 @ sk2))
% 0.55/0.86 | ((nil) = (skaf82 @ sk2)))),
% 0.55/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1940])).
% 0.55/0.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.55/0.86 inference('cnf', [status(esa)], [clause8])).
% 0.55/0.86 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 0.55/0.86 inference('cnf', [status(esa)], [clause12])).
% 0.55/0.86 thf(zip_derived_cl1983, plain, (((nil) = (skaf82 @ sk2))),
% 0.55/0.86 inference('demod', [status(thm)],
% 0.55/0.86 [zip_derived_cl1981, zip_derived_cl7, zip_derived_cl11])).
% 0.55/0.86 thf(zip_derived_cl108, plain,
% 0.55/0.86 (![X0 : $i]:
% 0.55/0.86 (~ (ssList @ X0)
% 0.55/0.86 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 0.55/0.86 | ((nil) = (X0)))),
% 0.55/0.86 inference('cnf', [status(esa)], [clause109])).
% 0.55/0.86 thf(zip_derived_cl1990, plain,
% 0.55/0.86 ((~ (ssList @ sk2)
% 0.55/0.86 | ((cons @ (skaf83 @ sk2) @ nil) = (sk2))
% 0.55/0.86 | ((nil) = (sk2)))),
% 0.55/0.86 inference('s_sup+', [status(thm)],
% 0.55/0.86 [zip_derived_cl1983, zip_derived_cl108])).
% 0.55/0.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.86 thf(zip_derived_cl1996, plain,
% 0.55/0.86 ((((cons @ (skaf83 @ sk2) @ nil) = (sk2)) | ((nil) = (sk2)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl1990, zip_derived_cl186])).
% 0.55/0.86 thf(zip_derived_cl1391, plain, (((sk2) != (nil))),
% 0.55/0.86 inference('demod', [status(thm)],
% 0.55/0.86 [zip_derived_cl1365, zip_derived_cl186, zip_derived_cl7])).
% 0.55/0.86 thf(zip_derived_cl1997, plain, (((cons @ (skaf83 @ sk2) @ nil) = (sk2))),
% 0.55/0.86 inference('simplify_reflect-', [status(thm)],
% 0.55/0.86 [zip_derived_cl1996, zip_derived_cl1391])).
% 0.55/0.86 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 0.55/0.86 thf(zip_derived_cl72, plain,
% 0.55/0.86 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 0.55/0.86 inference('cnf', [status(esa)], [clause73])).
% 0.55/0.86 thf(zip_derived_cl1453, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (((app @ (cons @ X0 @ nil) @ X1) != (sk2))
% 0.55/0.86 | ((app @ X1 @ (cons @ X0 @ nil)) = (nil))
% 0.55/0.86 | ~ (ssList @ X1)
% 0.55/0.86 | ~ (ssItem @ X0))),
% 0.55/0.86 inference('demod', [status(thm)],
% 0.55/0.86 [zip_derived_cl192, zip_derived_cl189, zip_derived_cl1396])).
% 0.55/0.86 thf(zip_derived_cl1455, plain,
% 0.55/0.86 (![X0 : $i]:
% 0.55/0.86 (~ (ssList @ (cons @ X0 @ nil))
% 0.55/0.86 | ((cons @ X0 @ nil) != (sk2))
% 0.55/0.86 | ((app @ nil @ (cons @ X0 @ nil)) = (nil))
% 0.55/0.86 | ~ (ssList @ nil)
% 0.55/0.86 | ~ (ssItem @ X0))),
% 0.55/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl1453])).
% 0.55/0.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.55/0.86 inference('cnf', [status(esa)], [clause8])).
% 0.55/0.86 thf(zip_derived_cl1457, plain,
% 0.55/0.86 (![X0 : $i]:
% 0.55/0.86 (~ (ssList @ (cons @ X0 @ nil))
% 0.55/0.86 | ((cons @ X0 @ nil) != (sk2))
% 0.55/0.86 | ((app @ nil @ (cons @ X0 @ nil)) = (nil))
% 0.55/0.86 | ~ (ssItem @ X0))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl1455, zip_derived_cl7])).
% 0.55/0.86 thf(clause119, axiom,
% 0.55/0.86 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 0.55/0.86 ( ~( ssList @ U ) ) | ( ( nil ) = ( V ) ))).
% 0.55/0.86 thf(zip_derived_cl118, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (((app @ X0 @ X1) != (nil))
% 0.55/0.86 | ~ (ssList @ X1)
% 0.55/0.86 | ~ (ssList @ X0)
% 0.55/0.86 | ((nil) = (X1)))),
% 0.55/0.86 inference('cnf', [status(esa)], [clause119])).
% 0.55/0.86 thf(zip_derived_cl1460, plain,
% 0.55/0.86 (![X0 : $i]:
% 0.55/0.86 (~ (ssItem @ X0)
% 0.55/0.86 | ((cons @ X0 @ nil) != (sk2))
% 0.55/0.86 | ~ (ssList @ (cons @ X0 @ nil))
% 0.55/0.86 | ((nil) != (nil))
% 0.55/0.86 | ~ (ssList @ (cons @ X0 @ nil))
% 0.55/0.86 | ~ (ssList @ nil)
% 0.55/0.86 | ((nil) = (cons @ X0 @ nil)))),
% 0.55/0.86 inference('s_sup-', [status(thm)],
% 0.55/0.86 [zip_derived_cl1457, zip_derived_cl118])).
% 0.55/0.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.55/0.86 inference('cnf', [status(esa)], [clause8])).
% 0.55/0.86 thf(zip_derived_cl1466, plain,
% 0.55/0.86 (![X0 : $i]:
% 0.55/0.86 (~ (ssItem @ X0)
% 0.55/0.86 | ((cons @ X0 @ nil) != (sk2))
% 0.55/0.86 | ~ (ssList @ (cons @ X0 @ nil))
% 0.55/0.86 | ((nil) != (nil))
% 0.55/0.86 | ~ (ssList @ (cons @ X0 @ nil))
% 0.55/0.86 | ((nil) = (cons @ X0 @ nil)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl1460, zip_derived_cl7])).
% 0.55/0.86 thf(zip_derived_cl1467, plain,
% 0.55/0.86 (![X0 : $i]:
% 0.55/0.86 (((nil) = (cons @ X0 @ nil))
% 0.55/0.86 | ~ (ssList @ (cons @ X0 @ nil))
% 0.55/0.86 | ((cons @ X0 @ nil) != (sk2))
% 0.55/0.86 | ~ (ssItem @ X0))),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl1466])).
% 0.55/0.86 thf(clause116, axiom,
% 0.55/0.86 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 0.55/0.86 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 0.55/0.86 thf(zip_derived_cl115, plain,
% 0.55/0.86 (![X0 : $i, X1 : $i]:
% 0.55/0.86 (((cons @ X1 @ nil) != (X0))
% 0.55/0.86 | ~ (ssItem @ X1)
% 0.55/0.86 | ~ (ssList @ X0)
% 0.55/0.86 | (singletonP @ X0))),
% 0.55/0.86 inference('cnf', [status(esa)], [clause116])).
% 0.55/0.86 thf(clause11, axiom, (~( singletonP @ nil ))).
% 0.55/0.86 thf(zip_derived_cl10, plain, (~ (singletonP @ nil)),
% 0.55/0.86 inference('cnf', [status(esa)], [clause11])).
% 0.55/0.86 thf(zip_derived_cl1349, plain,
% 0.55/0.86 (![X0 : $i]:
% 0.55/0.86 (~ (ssList @ nil) | ~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 0.55/0.86 inference('dp-resolution', [status(thm)],
% 0.55/0.86 [zip_derived_cl115, zip_derived_cl10])).
% 0.55/0.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.55/0.86 inference('cnf', [status(esa)], [clause8])).
% 0.55/0.86 thf(zip_derived_cl1400, plain,
% 0.55/0.86 (![X0 : $i]: (~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 0.55/0.86 inference('demod', [status(thm)], [zip_derived_cl1349, zip_derived_cl7])).
% 0.55/0.86 thf(zip_derived_cl1469, plain,
% 0.55/0.86 (![X0 : $i]:
% 0.55/0.86 (~ (ssItem @ X0)
% 0.55/0.86 | ((cons @ X0 @ nil) != (sk2))
% 0.55/0.86 | ~ (ssList @ (cons @ X0 @ nil)))),
% 0.55/0.86 inference('clc', [status(thm)], [zip_derived_cl1467, zip_derived_cl1400])).
% 0.55/0.86 thf(zip_derived_cl2133, plain,
% 0.55/0.86 ((~ (ssItem @ (skaf83 @ sk2)) | ((sk2) != (sk2)) | ~ (ssList @ sk2))),
% 0.55/0.86 inference('s_sup-', [status(thm)],
% 0.55/0.86 [zip_derived_cl1997, zip_derived_cl1469])).
% 0.55/0.86 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 0.55/0.86 inference('cnf', [status(esa)], [clause12])).
% 0.55/0.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.55/0.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.86 thf(zip_derived_cl2164, plain, (((sk2) != (sk2))),
% 0.55/0.86 inference('demod', [status(thm)],
% 0.55/0.86 [zip_derived_cl2133, zip_derived_cl11, zip_derived_cl186])).
% 0.55/0.86 thf(zip_derived_cl2165, plain, ($false),
% 0.55/0.86 inference('simplify', [status(thm)], [zip_derived_cl2164])).
% 0.55/0.86
% 0.55/0.86 % SZS output end Refutation
% 0.55/0.86
% 0.55/0.86
% 0.55/0.86 % Terminating...
% 0.58/0.94 % Runner terminated.
% 1.79/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------