TSTP Solution File: SWC253-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC253-1 : 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.9bOIEqYJwi true
% Computer : n021.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 21:30:15 EDT 2023
% Result : Unsatisfiable 0.56s 0.85s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC253-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9bOIEqYJwi true
% 0.13/0.34 % Computer : n021.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 17:36:28 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.51/0.62 % Total configuration time : 435
% 0.51/0.62 % Estimated wc time : 1092
% 0.51/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.85 % Solved by fo/fo6_bce.sh.
% 0.56/0.85 % BCE start: 197
% 0.56/0.85 % BCE eliminated: 0
% 0.56/0.85 % PE start: 197
% 0.56/0.85 logic: eq
% 0.56/0.85 % PE eliminated: 6
% 0.56/0.85 % done 205 iterations in 0.145s
% 0.56/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.85 % SZS output start Refutation
% 0.56/0.85 thf(nil_type, type, nil: $i).
% 0.56/0.85 thf(cons_type, type, cons: $i > $i > $i).
% 0.56/0.85 thf(sk2_type, type, sk2: $i).
% 0.56/0.85 thf(sk4_type, type, sk4: $i).
% 0.56/0.85 thf(tl_type, type, tl: $i > $i).
% 0.56/0.85 thf(hd_type, type, hd: $i > $i).
% 0.56/0.85 thf(ssItem_type, type, ssItem: $i > $o).
% 0.56/0.85 thf(sk3_type, type, sk3: $i).
% 0.56/0.85 thf(neq_type, type, neq: $i > $i > $o).
% 0.56/0.85 thf(app_type, type, app: $i > $i > $i).
% 0.56/0.85 thf(ssList_type, type, ssList: $i > $o).
% 0.56/0.85 thf(sk1_type, type, sk1: $i).
% 0.56/0.85 thf(singletonP_type, type, singletonP: $i > $o).
% 0.56/0.85 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 0.56/0.85 thf(zf_stmt_0, negated_conjecture, (neq @ sk2 @ nil),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.56/0.85 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.85 thf(clause76, axiom,
% 0.56/0.85 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.56/0.85 thf(zip_derived_cl75, plain,
% 0.56/0.85 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause76])).
% 0.56/0.85 thf(clause104, axiom,
% 0.56/0.85 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 0.56/0.85 ( ( nil ) = ( U ) ))).
% 0.56/0.85 thf(zip_derived_cl103, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (ssList @ X0)
% 0.56/0.85 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 0.56/0.85 | ((nil) = (X0)))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause104])).
% 0.56/0.85 thf(clause75, axiom,
% 0.56/0.85 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.56/0.85 thf(zip_derived_cl74, plain,
% 0.56/0.85 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause75])).
% 0.56/0.85 thf(zip_derived_cl74, plain,
% 0.56/0.85 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause75])).
% 0.56/0.85 thf(clause85, axiom,
% 0.56/0.85 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 0.56/0.85 thf(zip_derived_cl84, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause85])).
% 0.56/0.85 thf(zip_derived_cl74, plain,
% 0.56/0.85 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause75])).
% 0.56/0.85 thf(clause100, axiom,
% 0.56/0.85 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 0.56/0.85 ( ( V ) = ( U ) ))).
% 0.56/0.85 thf(zip_derived_cl99, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause100])).
% 0.56/0.85 thf(co1_11, conjecture,
% 0.56/0.85 (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) |
% 0.56/0.85 ( ( app @ sk3 @ B ) != ( A ) ) | ( ( tl @ sk4 ) != ( B ) ) |
% 0.56/0.85 ( ~( ssList @ B ) ) | ( ( sk4 ) = ( A ) ) | ( ~( ssList @ A ) ) ))).
% 0.56/0.85 thf(zf_stmt_1, negated_conjecture,
% 0.56/0.85 (( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) |
% 0.56/0.85 ( ( app @ sk3 @ B ) != ( A ) ) | ( ( tl @ sk4 ) != ( B ) ) |
% 0.56/0.85 ( ~( ssList @ B ) ) | ( ( sk4 ) = ( A ) ) | ( ~( ssList @ A ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.56/0.85 thf(zip_derived_cl195, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (~ (neq @ sk4 @ nil)
% 0.56/0.85 | ~ (neq @ nil @ sk4)
% 0.56/0.85 | ((app @ sk3 @ X1) != (X0))
% 0.56/0.85 | ((tl @ sk4) != (X1))
% 0.56/0.85 | ~ (ssList @ X1)
% 0.56/0.85 | ((sk4) = (X0))
% 0.56/0.85 | ~ (ssList @ X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.85 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.56/0.85 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.56/0.85 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.85 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.85 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.85 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.56/0.85 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.56/0.85 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.85 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.85 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.85 thf(zip_derived_cl1448, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (~ (neq @ nil @ sk2)
% 0.56/0.85 | ((app @ sk1 @ X1) != (X0))
% 0.56/0.85 | ((tl @ sk2) != (X1))
% 0.56/0.85 | ~ (ssList @ X1)
% 0.56/0.85 | ((sk2) = (X0))
% 0.56/0.85 | ~ (ssList @ X0))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl195, zip_derived_cl189, zip_derived_cl191,
% 0.56/0.85 zip_derived_cl189, zip_derived_cl190, zip_derived_cl189,
% 0.56/0.85 zip_derived_cl189])).
% 0.56/0.85 thf(zip_derived_cl1576, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (((nil) = (sk2))
% 0.56/0.85 | ~ (ssList @ nil)
% 0.56/0.85 | ~ (ssList @ sk2)
% 0.56/0.85 | ((app @ sk1 @ X0) != (X1))
% 0.56/0.85 | ((tl @ sk2) != (X0))
% 0.56/0.85 | ~ (ssList @ X0)
% 0.56/0.85 | ((sk2) = (X1))
% 0.56/0.85 | ~ (ssList @ X1))),
% 0.56/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl1448])).
% 0.56/0.85 thf(clause8, axiom, (ssList @ nil)).
% 0.56/0.85 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.56/0.85 inference('cnf', [status(esa)], [clause8])).
% 0.56/0.85 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 0.56/0.85 thf(zf_stmt_4, negated_conjecture, (ssList @ sk2),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [co1_2])).
% 0.56/0.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.85 thf(zip_derived_cl1579, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (((nil) = (sk2))
% 0.56/0.85 | ((app @ sk1 @ X0) != (X1))
% 0.56/0.85 | ((tl @ sk2) != (X0))
% 0.56/0.85 | ~ (ssList @ X0)
% 0.56/0.85 | ((sk2) = (X1))
% 0.56/0.85 | ~ (ssList @ X1))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl1576, zip_derived_cl7, zip_derived_cl186])).
% 0.56/0.85 thf(zip_derived_cl1580, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (ssList @ X0)
% 0.56/0.85 | ((sk2) = (X0))
% 0.56/0.85 | ~ (ssList @ (tl @ sk2))
% 0.56/0.85 | ((app @ sk1 @ (tl @ sk2)) != (X0))
% 0.56/0.85 | ((nil) = (sk2)))),
% 0.56/0.85 inference('eq_res', [status(thm)], [zip_derived_cl1579])).
% 0.56/0.85 thf(zip_derived_cl1581, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (((nil) = (sk2))
% 0.56/0.85 | ~ (ssList @ sk2)
% 0.56/0.85 | ~ (ssList @ X0)
% 0.56/0.85 | ((sk2) = (X0))
% 0.56/0.85 | ((app @ sk1 @ (tl @ sk2)) != (X0))
% 0.56/0.85 | ((nil) = (sk2)))),
% 0.56/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl1580])).
% 0.56/0.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.85 thf(zip_derived_cl1582, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (((nil) = (sk2))
% 0.56/0.85 | ~ (ssList @ X0)
% 0.56/0.85 | ((sk2) = (X0))
% 0.56/0.85 | ((app @ sk1 @ (tl @ sk2)) != (X0))
% 0.56/0.85 | ((nil) = (sk2)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1581, zip_derived_cl186])).
% 0.56/0.85 thf(zip_derived_cl1583, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (((app @ sk1 @ (tl @ sk2)) != (X0))
% 0.56/0.85 | ((sk2) = (X0))
% 0.56/0.85 | ~ (ssList @ X0)
% 0.56/0.85 | ((nil) = (sk2)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1582])).
% 0.56/0.85 thf(zip_derived_cl1585, plain,
% 0.56/0.85 ((((nil) = (sk2))
% 0.56/0.85 | ~ (ssList @ (app @ sk1 @ (tl @ sk2)))
% 0.56/0.85 | ((sk2) = (app @ sk1 @ (tl @ sk2))))),
% 0.56/0.85 inference('eq_res', [status(thm)], [zip_derived_cl1583])).
% 0.56/0.85 thf(zip_derived_cl1594, plain,
% 0.56/0.85 ((~ (ssList @ sk1)
% 0.56/0.85 | ~ (ssList @ (tl @ sk2))
% 0.56/0.85 | ((nil) = (sk2))
% 0.56/0.85 | ((sk2) = (app @ sk1 @ (tl @ sk2))))),
% 0.56/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl1585])).
% 0.56/0.85 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 0.56/0.85 thf(zf_stmt_5, negated_conjecture, (ssList @ sk1),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [co1_1])).
% 0.56/0.85 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.85 thf(zip_derived_cl1596, plain,
% 0.56/0.85 ((~ (ssList @ (tl @ sk2))
% 0.56/0.85 | ((nil) = (sk2))
% 0.56/0.85 | ((sk2) = (app @ sk1 @ (tl @ sk2))))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1594, zip_derived_cl185])).
% 0.56/0.85 thf(zip_derived_cl1605, plain,
% 0.56/0.85 ((((nil) = (sk2))
% 0.56/0.85 | ~ (ssList @ sk2)
% 0.56/0.85 | ((nil) = (sk2))
% 0.56/0.85 | ((sk2) = (app @ sk1 @ (tl @ sk2))))),
% 0.56/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl1596])).
% 0.56/0.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.85 thf(zip_derived_cl1606, plain,
% 0.56/0.85 ((((nil) = (sk2)) | ((nil) = (sk2)) | ((sk2) = (app @ sk1 @ (tl @ sk2))))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1605, zip_derived_cl186])).
% 0.56/0.85 thf(zip_derived_cl1607, plain,
% 0.56/0.85 ((((sk2) = (app @ sk1 @ (tl @ sk2))) | ((nil) = (sk2)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1606])).
% 0.56/0.85 thf(clause86, axiom,
% 0.56/0.85 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 0.56/0.85 thf(zip_derived_cl85, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause86])).
% 0.56/0.85 thf(clause120, axiom,
% 0.56/0.85 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 0.56/0.85 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 0.56/0.85 thf(zip_derived_cl119, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (~ (ssItem @ X0)
% 0.56/0.85 | ~ (ssList @ X1)
% 0.56/0.85 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause120])).
% 0.56/0.85 thf(clause151, axiom,
% 0.56/0.85 (( ( app @ U @ V ) != ( app @ W @ V ) ) | ( ~( ssList @ U ) ) |
% 0.56/0.85 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( ( U ) = ( W ) ))).
% 0.56/0.85 thf(zip_derived_cl150, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 0.56/0.85 | ~ (ssList @ X2)
% 0.56/0.85 | ~ (ssList @ X1)
% 0.56/0.85 | ~ (ssList @ X0)
% 0.56/0.85 | ((X2) = (X0)))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause151])).
% 0.56/0.85 thf(zip_derived_cl1662, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 (~ (ssList @ X0)
% 0.56/0.85 | ~ (ssItem @ X1)
% 0.56/0.85 | ((app @ X2 @ X0) != (cons @ X1 @ X0))
% 0.56/0.85 | ~ (ssList @ X2)
% 0.56/0.85 | ~ (ssList @ X0)
% 0.56/0.85 | ~ (ssList @ (cons @ X1 @ nil))
% 0.56/0.85 | ((X2) = (cons @ X1 @ nil)))),
% 0.56/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl150])).
% 0.56/0.85 thf(zip_derived_cl1674, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 (((X2) = (cons @ X1 @ nil))
% 0.56/0.85 | ~ (ssList @ (cons @ X1 @ nil))
% 0.56/0.85 | ~ (ssList @ X2)
% 0.56/0.85 | ((app @ X2 @ X0) != (cons @ X1 @ X0))
% 0.56/0.85 | ~ (ssItem @ X1)
% 0.56/0.85 | ~ (ssList @ X0))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1662])).
% 0.56/0.85 thf(zip_derived_cl1709, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 (~ (ssList @ nil)
% 0.56/0.85 | ~ (ssItem @ X0)
% 0.56/0.85 | ((X1) = (cons @ X0 @ nil))
% 0.56/0.85 | ~ (ssList @ X1)
% 0.56/0.85 | ((app @ X1 @ X2) != (cons @ X0 @ X2))
% 0.56/0.85 | ~ (ssItem @ X0)
% 0.56/0.85 | ~ (ssList @ X2))),
% 0.56/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1674])).
% 0.56/0.85 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.56/0.85 inference('cnf', [status(esa)], [clause8])).
% 0.56/0.85 thf(zip_derived_cl1710, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 (~ (ssItem @ X0)
% 0.56/0.85 | ((X1) = (cons @ X0 @ nil))
% 0.56/0.85 | ~ (ssList @ X1)
% 0.56/0.85 | ((app @ X1 @ X2) != (cons @ X0 @ X2))
% 0.56/0.85 | ~ (ssItem @ X0)
% 0.56/0.85 | ~ (ssList @ X2))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1709, zip_derived_cl7])).
% 0.56/0.85 thf(zip_derived_cl1711, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.85 (~ (ssList @ X2)
% 0.56/0.85 | ((app @ X1 @ X2) != (cons @ X0 @ X2))
% 0.56/0.85 | ~ (ssList @ X1)
% 0.56/0.85 | ((X1) = (cons @ X0 @ nil))
% 0.56/0.85 | ~ (ssItem @ X0))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1710])).
% 0.56/0.85 thf(zip_derived_cl1736, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (((nil) = (sk2))
% 0.56/0.85 | ~ (ssList @ (tl @ sk2))
% 0.56/0.85 | ((sk2) != (cons @ X0 @ (tl @ sk2)))
% 0.56/0.85 | ~ (ssList @ sk1)
% 0.56/0.85 | ((sk1) = (cons @ X0 @ nil))
% 0.56/0.85 | ~ (ssItem @ X0))),
% 0.56/0.85 inference('s_sup-', [status(thm)],
% 0.56/0.85 [zip_derived_cl1607, zip_derived_cl1711])).
% 0.56/0.85 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.85 thf(zip_derived_cl1745, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (((nil) = (sk2))
% 0.56/0.85 | ~ (ssList @ (tl @ sk2))
% 0.56/0.85 | ((sk2) != (cons @ X0 @ (tl @ sk2)))
% 0.56/0.85 | ((sk1) = (cons @ X0 @ nil))
% 0.56/0.85 | ~ (ssItem @ X0))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1736, zip_derived_cl185])).
% 0.56/0.85 thf(clause116, axiom,
% 0.56/0.85 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 0.56/0.85 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 0.56/0.85 thf(zip_derived_cl115, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (((cons @ X1 @ nil) != (X0))
% 0.56/0.85 | ~ (ssItem @ X1)
% 0.56/0.85 | ~ (ssList @ X0)
% 0.56/0.85 | (singletonP @ X0))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause116])).
% 0.56/0.85 thf(co1_12, conjecture,
% 0.56/0.85 (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( singletonP @ sk1 ) ) ))).
% 0.56/0.85 thf(zf_stmt_6, negated_conjecture,
% 0.56/0.85 (( ~( neq @ sk4 @ nil ) ) | ( ~( singletonP @ sk1 ) )),
% 0.56/0.85 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.56/0.85 thf(zip_derived_cl196, plain, ((~ (neq @ sk4 @ nil) | ~ (singletonP @ sk1))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.56/0.85 thf(zip_derived_cl1376, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (ssList @ sk1)
% 0.56/0.85 | ~ (ssItem @ X0)
% 0.56/0.85 | ((cons @ X0 @ nil) != (sk1))
% 0.56/0.85 | ~ (neq @ sk4 @ nil))),
% 0.56/0.85 inference('dp-resolution', [status(thm)],
% 0.56/0.85 [zip_derived_cl115, zip_derived_cl196])).
% 0.56/0.85 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.85 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.85 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.85 thf(zip_derived_cl1413, plain,
% 0.56/0.85 (![X0 : $i]: (~ (ssItem @ X0) | ((cons @ X0 @ nil) != (sk1)))),
% 0.56/0.85 inference('demod', [status(thm)],
% 0.56/0.85 [zip_derived_cl1376, zip_derived_cl185, zip_derived_cl189,
% 0.56/0.85 zip_derived_cl191])).
% 0.56/0.85 thf(zip_derived_cl1863, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (~ (ssItem @ X0)
% 0.56/0.85 | ((sk2) != (cons @ X0 @ (tl @ sk2)))
% 0.56/0.85 | ~ (ssList @ (tl @ sk2))
% 0.56/0.85 | ((nil) = (sk2)))),
% 0.56/0.85 inference('clc', [status(thm)], [zip_derived_cl1745, zip_derived_cl1413])).
% 0.56/0.85 thf(zip_derived_cl1864, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (((nil) = (sk2))
% 0.56/0.85 | ~ (ssList @ sk2)
% 0.56/0.85 | ~ (ssItem @ X0)
% 0.56/0.85 | ((sk2) != (cons @ X0 @ (tl @ sk2)))
% 0.56/0.85 | ((nil) = (sk2)))),
% 0.56/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl1863])).
% 0.56/0.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.85 thf(zip_derived_cl1865, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (((nil) = (sk2))
% 0.56/0.85 | ~ (ssItem @ X0)
% 0.56/0.85 | ((sk2) != (cons @ X0 @ (tl @ sk2)))
% 0.56/0.85 | ((nil) = (sk2)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1864, zip_derived_cl186])).
% 0.56/0.85 thf(zip_derived_cl1866, plain,
% 0.56/0.85 (![X0 : $i]:
% 0.56/0.85 (((sk2) != (cons @ X0 @ (tl @ sk2)))
% 0.56/0.85 | ~ (ssItem @ X0)
% 0.56/0.85 | ((nil) = (sk2)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1865])).
% 0.56/0.85 thf(zip_derived_cl1867, plain,
% 0.56/0.85 ((((nil) = (sk2))
% 0.56/0.85 | ~ (ssList @ sk2)
% 0.56/0.85 | ((sk2) != (sk2))
% 0.56/0.85 | ~ (ssItem @ (hd @ sk2))
% 0.56/0.85 | ((nil) = (sk2)))),
% 0.56/0.85 inference('s_sup-', [status(thm)],
% 0.56/0.85 [zip_derived_cl103, zip_derived_cl1866])).
% 0.56/0.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.85 thf(zip_derived_cl1869, plain,
% 0.56/0.85 ((((nil) = (sk2))
% 0.56/0.85 | ((sk2) != (sk2))
% 0.56/0.85 | ~ (ssItem @ (hd @ sk2))
% 0.56/0.85 | ((nil) = (sk2)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1867, zip_derived_cl186])).
% 0.56/0.85 thf(zip_derived_cl1870, plain, ((~ (ssItem @ (hd @ sk2)) | ((nil) = (sk2)))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1869])).
% 0.56/0.85 thf(zip_derived_cl1932, plain,
% 0.56/0.85 ((((nil) = (sk2)) | ~ (ssList @ sk2) | ((nil) = (sk2)))),
% 0.56/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl1870])).
% 0.56/0.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.56/0.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.85 thf(zip_derived_cl1934, plain, ((((nil) = (sk2)) | ((nil) = (sk2)))),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1932, zip_derived_cl186])).
% 0.56/0.85 thf(zip_derived_cl1935, plain, (((nil) = (sk2))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1934])).
% 0.56/0.85 thf(zip_derived_cl1960, plain, ( (neq @ nil @ nil)),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl1935])).
% 0.56/0.85 thf(clause115, axiom,
% 0.56/0.85 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 0.56/0.85 ( ~( ssList @ U ) ))).
% 0.56/0.85 thf(zip_derived_cl114, plain,
% 0.56/0.85 (![X0 : $i, X1 : $i]:
% 0.56/0.85 (((X1) != (X0))
% 0.56/0.85 | ~ (neq @ X1 @ X0)
% 0.56/0.85 | ~ (ssList @ X0)
% 0.56/0.85 | ~ (ssList @ X1))),
% 0.56/0.85 inference('cnf', [status(esa)], [clause115])).
% 0.56/0.85 thf(zip_derived_cl1406, plain,
% 0.56/0.85 (![X0 : $i]: (~ (ssList @ X0) | ~ (ssList @ X0) | ~ (neq @ X0 @ X0))),
% 0.56/0.85 inference('eq_res', [status(thm)], [zip_derived_cl114])).
% 0.56/0.85 thf(zip_derived_cl1407, plain,
% 0.56/0.85 (![X0 : $i]: (~ (neq @ X0 @ X0) | ~ (ssList @ X0))),
% 0.56/0.85 inference('simplify', [status(thm)], [zip_derived_cl1406])).
% 0.56/0.85 thf(zip_derived_cl1962, plain, (~ (ssList @ nil)),
% 0.56/0.85 inference('s_sup-', [status(thm)],
% 0.56/0.85 [zip_derived_cl1960, zip_derived_cl1407])).
% 0.56/0.85 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.56/0.85 inference('cnf', [status(esa)], [clause8])).
% 0.56/0.85 thf(zip_derived_cl1964, plain, ($false),
% 0.56/0.85 inference('demod', [status(thm)], [zip_derived_cl1962, zip_derived_cl7])).
% 0.56/0.85
% 0.56/0.85 % SZS output end Refutation
% 0.56/0.85
% 0.56/0.85
% 0.56/0.86 % Terminating...
% 0.58/0.94 % Runner terminated.
% 0.58/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------