TSTP Solution File: SWC149-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC149-1 : 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.PP8b5urOST 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 21:29:30 EDT 2023
% Result : Unsatisfiable 1.35s 1.14s
% Output : Refutation 1.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC149-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PP8b5urOST true
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 18:59:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /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
% 0.21/0.76 % /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
% 1.35/1.14 % Solved by fo/fo13.sh.
% 1.35/1.14 % done 419 iterations in 0.359s
% 1.35/1.14 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.35/1.14 % SZS output start Refutation
% 1.35/1.14 thf(nil_type, type, nil: $i).
% 1.35/1.14 thf(cons_type, type, cons: $i > $i > $i).
% 1.35/1.14 thf(sk2_type, type, sk2: $i).
% 1.35/1.14 thf(sk4_type, type, sk4: $i).
% 1.35/1.14 thf(ssItem_type, type, ssItem: $i > $o).
% 1.35/1.14 thf(skaf82_type, type, skaf82: $i > $i).
% 1.35/1.14 thf(skaf83_type, type, skaf83: $i > $i).
% 1.35/1.14 thf(neq_type, type, neq: $i > $i > $o).
% 1.35/1.14 thf(app_type, type, app: $i > $i > $i).
% 1.35/1.14 thf(ssList_type, type, ssList: $i > $o).
% 1.35/1.14 thf(singletonP_type, type, singletonP: $i > $o).
% 1.35/1.14 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 1.35/1.14 thf(zf_stmt_0, negated_conjecture, (neq @ sk2 @ nil),
% 1.35/1.14 inference('cnf.neg', [status(esa)], [co1_7])).
% 1.35/1.14 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 1.35/1.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.35/1.14 thf(clause109, axiom,
% 1.35/1.14 (( ~( ssList @ U ) ) |
% 1.35/1.14 ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) |
% 1.35/1.14 ( ( nil ) = ( U ) ))).
% 1.35/1.14 thf(zip_derived_cl108, plain,
% 1.35/1.14 (![X0 : $i]:
% 1.35/1.14 (~ (ssList @ X0)
% 1.35/1.14 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 1.35/1.14 | ((nil) = (X0)))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause109])).
% 1.35/1.14 thf(zip_derived_cl108, plain,
% 1.35/1.14 (![X0 : $i]:
% 1.35/1.14 (~ (ssList @ X0)
% 1.35/1.14 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 1.35/1.14 | ((nil) = (X0)))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause109])).
% 1.35/1.14 thf(clause120, axiom,
% 1.35/1.14 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 1.35/1.14 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 1.35/1.14 thf(zip_derived_cl119, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i]:
% 1.35/1.14 (~ (ssItem @ X0)
% 1.35/1.14 | ~ (ssList @ X1)
% 1.35/1.14 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause120])).
% 1.35/1.14 thf(clause86, axiom,
% 1.35/1.14 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 1.35/1.14 thf(zip_derived_cl85, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i]:
% 1.35/1.14 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause86])).
% 1.35/1.14 thf(clause157, axiom,
% 1.35/1.14 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 1.35/1.14 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 1.35/1.14 thf(zip_derived_cl156, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.14 (~ (ssItem @ X0)
% 1.35/1.14 | ~ (ssList @ X1)
% 1.35/1.14 | ~ (ssList @ X2)
% 1.35/1.14 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause157])).
% 1.35/1.14 thf(zip_derived_cl85, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i]:
% 1.35/1.14 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause86])).
% 1.35/1.14 thf(zip_derived_cl119, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i]:
% 1.35/1.14 (~ (ssItem @ X0)
% 1.35/1.14 | ~ (ssList @ X1)
% 1.35/1.14 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause120])).
% 1.35/1.14 thf(co1_8, conjecture,
% 1.35/1.14 (~( ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 1.35/1.14 ( sk4 ) ) |
% 1.35/1.14 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 1.35/1.14 thf(zf_stmt_1, negated_conjecture,
% 1.35/1.14 (( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 1.35/1.14 ( sk4 ) ) |
% 1.35/1.14 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) )),
% 1.35/1.14 inference('cnf.neg', [status(esa)], [co1_8])).
% 1.35/1.14 thf(zip_derived_cl192, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.14 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk4))
% 1.35/1.14 | ~ (ssList @ X2)
% 1.35/1.14 | ~ (ssItem @ X1)
% 1.35/1.14 | ~ (ssItem @ X0))),
% 1.35/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/1.14 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 1.35/1.14 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 1.35/1.14 inference('cnf.neg', [status(esa)], [co1_5])).
% 1.35/1.14 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 1.35/1.14 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.35/1.14 thf(zip_derived_cl196, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.14 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk2))
% 1.35/1.14 | ~ (ssList @ X2)
% 1.35/1.14 | ~ (ssItem @ X1)
% 1.35/1.14 | ~ (ssItem @ X0))),
% 1.35/1.14 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl189])).
% 1.35/1.14 thf(zip_derived_cl496, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.14 (~ (ssList @ (cons @ X0 @ nil))
% 1.35/1.14 | ~ (ssItem @ X1)
% 1.35/1.14 | ((app @ (cons @ X1 @ (cons @ X0 @ nil)) @ X2) != (sk2))
% 1.35/1.14 | ~ (ssList @ X2)
% 1.35/1.14 | ~ (ssItem @ X0)
% 1.35/1.14 | ~ (ssItem @ X1))),
% 1.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl196])).
% 1.35/1.14 thf(zip_derived_cl500, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.14 (~ (ssItem @ X0)
% 1.35/1.14 | ~ (ssList @ X2)
% 1.35/1.14 | ((app @ (cons @ X1 @ (cons @ X0 @ nil)) @ X2) != (sk2))
% 1.35/1.14 | ~ (ssItem @ X1)
% 1.35/1.14 | ~ (ssList @ (cons @ X0 @ nil)))),
% 1.35/1.14 inference('simplify', [status(thm)], [zip_derived_cl496])).
% 1.35/1.14 thf(zip_derived_cl738, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.14 (~ (ssList @ nil)
% 1.35/1.14 | ~ (ssItem @ X0)
% 1.35/1.14 | ~ (ssItem @ X0)
% 1.35/1.14 | ~ (ssList @ X1)
% 1.35/1.14 | ((app @ (cons @ X2 @ (cons @ X0 @ nil)) @ X1) != (sk2))
% 1.35/1.14 | ~ (ssItem @ X2))),
% 1.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl500])).
% 1.35/1.14 thf(clause8, axiom, (ssList @ nil)).
% 1.35/1.14 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.35/1.14 inference('cnf', [status(esa)], [clause8])).
% 1.35/1.14 thf(zip_derived_cl740, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.14 (~ (ssItem @ X0)
% 1.35/1.14 | ~ (ssItem @ X0)
% 1.35/1.14 | ~ (ssList @ X1)
% 1.35/1.14 | ((app @ (cons @ X2 @ (cons @ X0 @ nil)) @ X1) != (sk2))
% 1.35/1.14 | ~ (ssItem @ X2))),
% 1.35/1.14 inference('demod', [status(thm)], [zip_derived_cl738, zip_derived_cl7])).
% 1.35/1.14 thf(zip_derived_cl741, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.14 (~ (ssItem @ X2)
% 1.35/1.14 | ((app @ (cons @ X2 @ (cons @ X0 @ nil)) @ X1) != (sk2))
% 1.35/1.14 | ~ (ssList @ X1)
% 1.35/1.14 | ~ (ssItem @ X0))),
% 1.35/1.14 inference('simplify', [status(thm)], [zip_derived_cl740])).
% 1.35/1.14 thf(zip_derived_cl1380, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.14 (~ (ssList @ X0)
% 1.35/1.14 | ~ (ssList @ (cons @ X1 @ nil))
% 1.35/1.14 | ~ (ssItem @ X2)
% 1.35/1.14 | ~ (ssItem @ X2)
% 1.35/1.14 | ((cons @ X2 @ (app @ (cons @ X1 @ nil) @ X0)) != (sk2))
% 1.35/1.14 | ~ (ssList @ X0)
% 1.35/1.14 | ~ (ssItem @ X1))),
% 1.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl741])).
% 1.35/1.14 thf(zip_derived_cl1422, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.14 (~ (ssItem @ X1)
% 1.35/1.14 | ((cons @ X2 @ (app @ (cons @ X1 @ nil) @ X0)) != (sk2))
% 1.35/1.14 | ~ (ssItem @ X2)
% 1.35/1.14 | ~ (ssList @ (cons @ X1 @ nil))
% 1.35/1.14 | ~ (ssList @ X0))),
% 1.35/1.14 inference('simplify', [status(thm)], [zip_derived_cl1380])).
% 1.35/1.14 thf(zip_derived_cl1828, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.14 (~ (ssList @ nil)
% 1.35/1.14 | ~ (ssItem @ X0)
% 1.35/1.14 | ~ (ssItem @ X0)
% 1.35/1.14 | ((cons @ X2 @ (app @ (cons @ X0 @ nil) @ X1)) != (sk2))
% 1.35/1.14 | ~ (ssItem @ X2)
% 1.35/1.14 | ~ (ssList @ X1))),
% 1.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1422])).
% 1.35/1.14 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.35/1.14 inference('cnf', [status(esa)], [clause8])).
% 1.35/1.14 thf(zip_derived_cl1830, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.14 (~ (ssItem @ X0)
% 1.35/1.14 | ~ (ssItem @ X0)
% 1.35/1.14 | ((cons @ X2 @ (app @ (cons @ X0 @ nil) @ X1)) != (sk2))
% 1.35/1.14 | ~ (ssItem @ X2)
% 1.35/1.14 | ~ (ssList @ X1))),
% 1.35/1.14 inference('demod', [status(thm)], [zip_derived_cl1828, zip_derived_cl7])).
% 1.35/1.14 thf(zip_derived_cl1831, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.14 (~ (ssList @ X1)
% 1.35/1.14 | ~ (ssItem @ X2)
% 1.35/1.14 | ((cons @ X2 @ (app @ (cons @ X0 @ nil) @ X1)) != (sk2))
% 1.35/1.14 | ~ (ssItem @ X0))),
% 1.35/1.14 inference('simplify', [status(thm)], [zip_derived_cl1830])).
% 1.35/1.14 thf(zip_derived_cl1836, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.14 (~ (ssList @ X0)
% 1.35/1.14 | ~ (ssItem @ X1)
% 1.35/1.14 | ~ (ssList @ X0)
% 1.35/1.14 | ~ (ssItem @ X2)
% 1.35/1.14 | ((cons @ X2 @ (cons @ X1 @ X0)) != (sk2))
% 1.35/1.14 | ~ (ssItem @ X1))),
% 1.35/1.14 inference('s_sup-', [status(thm)],
% 1.35/1.14 [zip_derived_cl119, zip_derived_cl1831])).
% 1.35/1.14 thf(zip_derived_cl1841, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.14 (((cons @ X2 @ (cons @ X1 @ X0)) != (sk2))
% 1.35/1.14 | ~ (ssItem @ X2)
% 1.35/1.14 | ~ (ssItem @ X1)
% 1.35/1.14 | ~ (ssList @ X0))),
% 1.35/1.14 inference('simplify', [status(thm)], [zip_derived_cl1836])).
% 1.35/1.14 thf(zip_derived_cl1843, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i]:
% 1.35/1.14 (((nil) = (X0))
% 1.35/1.14 | ~ (ssList @ X0)
% 1.35/1.14 | ((cons @ X1 @ X0) != (sk2))
% 1.35/1.14 | ~ (ssItem @ X1)
% 1.35/1.14 | ~ (ssItem @ (skaf83 @ X0))
% 1.35/1.14 | ~ (ssList @ (skaf82 @ X0)))),
% 1.35/1.14 inference('s_sup-', [status(thm)],
% 1.35/1.14 [zip_derived_cl108, zip_derived_cl1841])).
% 1.35/1.14 thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 1.35/1.14 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause12])).
% 1.35/1.14 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 1.35/1.14 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause13])).
% 1.35/1.14 thf(zip_derived_cl1846, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i]:
% 1.35/1.14 (((nil) = (X0))
% 1.35/1.14 | ~ (ssList @ X0)
% 1.35/1.14 | ((cons @ X1 @ X0) != (sk2))
% 1.35/1.14 | ~ (ssItem @ X1))),
% 1.35/1.14 inference('demod', [status(thm)],
% 1.35/1.14 [zip_derived_cl1843, zip_derived_cl11, zip_derived_cl12])).
% 1.35/1.14 thf(zip_derived_cl1848, plain,
% 1.35/1.14 (![X0 : $i]:
% 1.35/1.14 (((nil) = (X0))
% 1.35/1.14 | ~ (ssList @ X0)
% 1.35/1.14 | ((nil) = (skaf82 @ X0))
% 1.35/1.14 | ~ (ssList @ (skaf82 @ X0))
% 1.35/1.14 | ((X0) != (sk2))
% 1.35/1.14 | ~ (ssItem @ (skaf83 @ X0)))),
% 1.35/1.14 inference('s_sup-', [status(thm)],
% 1.35/1.14 [zip_derived_cl108, zip_derived_cl1846])).
% 1.35/1.14 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause13])).
% 1.35/1.14 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause12])).
% 1.35/1.14 thf(zip_derived_cl1851, plain,
% 1.35/1.14 (![X0 : $i]:
% 1.35/1.14 (((nil) = (X0))
% 1.35/1.14 | ~ (ssList @ X0)
% 1.35/1.14 | ((nil) = (skaf82 @ X0))
% 1.35/1.14 | ((X0) != (sk2)))),
% 1.35/1.14 inference('demod', [status(thm)],
% 1.35/1.14 [zip_derived_cl1848, zip_derived_cl12, zip_derived_cl11])).
% 1.35/1.14 thf(zip_derived_cl1892, plain,
% 1.35/1.14 ((((nil) = (skaf82 @ sk2)) | ~ (ssList @ sk2) | ((nil) = (sk2)))),
% 1.35/1.14 inference('eq_res', [status(thm)], [zip_derived_cl1851])).
% 1.35/1.14 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 1.35/1.14 thf(zf_stmt_3, negated_conjecture, (ssList @ sk2),
% 1.35/1.14 inference('cnf.neg', [status(esa)], [co1_2])).
% 1.35/1.14 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 1.35/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.35/1.14 thf(zip_derived_cl1893, plain,
% 1.35/1.14 ((((nil) = (skaf82 @ sk2)) | ((nil) = (sk2)))),
% 1.35/1.14 inference('demod', [status(thm)], [zip_derived_cl1892, zip_derived_cl186])).
% 1.35/1.14 thf(zip_derived_cl108, plain,
% 1.35/1.14 (![X0 : $i]:
% 1.35/1.14 (~ (ssList @ X0)
% 1.35/1.14 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 1.35/1.14 | ((nil) = (X0)))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause109])).
% 1.35/1.14 thf(zip_derived_cl1895, plain,
% 1.35/1.14 ((((nil) = (sk2))
% 1.35/1.14 | ~ (ssList @ sk2)
% 1.35/1.14 | ((cons @ (skaf83 @ sk2) @ nil) = (sk2))
% 1.35/1.14 | ((nil) = (sk2)))),
% 1.35/1.14 inference('s_sup+', [status(thm)],
% 1.35/1.14 [zip_derived_cl1893, zip_derived_cl108])).
% 1.35/1.14 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 1.35/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.35/1.14 thf(zip_derived_cl1905, plain,
% 1.35/1.14 ((((nil) = (sk2))
% 1.35/1.14 | ((cons @ (skaf83 @ sk2) @ nil) = (sk2))
% 1.35/1.14 | ((nil) = (sk2)))),
% 1.35/1.14 inference('demod', [status(thm)], [zip_derived_cl1895, zip_derived_cl186])).
% 1.35/1.14 thf(zip_derived_cl1906, plain,
% 1.35/1.14 ((((cons @ (skaf83 @ sk2) @ nil) = (sk2)) | ((nil) = (sk2)))),
% 1.35/1.14 inference('simplify', [status(thm)], [zip_derived_cl1905])).
% 1.35/1.14 thf(zip_derived_cl85, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i]:
% 1.35/1.14 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause86])).
% 1.35/1.14 thf(clause116, axiom,
% 1.35/1.14 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 1.35/1.14 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 1.35/1.14 thf(zip_derived_cl115, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i]:
% 1.35/1.14 (((cons @ X1 @ nil) != (X0))
% 1.35/1.14 | ~ (ssItem @ X1)
% 1.35/1.14 | ~ (ssList @ X0)
% 1.35/1.14 | (singletonP @ X0))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause116])).
% 1.35/1.14 thf(zip_derived_cl300, plain,
% 1.35/1.14 (![X0 : $i]:
% 1.35/1.14 ( (singletonP @ (cons @ X0 @ nil))
% 1.35/1.14 | ~ (ssList @ (cons @ X0 @ nil))
% 1.35/1.14 | ~ (ssItem @ X0))),
% 1.35/1.14 inference('eq_res', [status(thm)], [zip_derived_cl115])).
% 1.35/1.14 thf(zip_derived_cl315, plain,
% 1.35/1.14 (![X0 : $i]:
% 1.35/1.14 (~ (ssList @ nil)
% 1.35/1.14 | ~ (ssItem @ X0)
% 1.35/1.14 | (singletonP @ (cons @ X0 @ nil))
% 1.35/1.14 | ~ (ssItem @ X0))),
% 1.35/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl300])).
% 1.35/1.14 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.35/1.14 inference('cnf', [status(esa)], [clause8])).
% 1.35/1.14 thf(zip_derived_cl319, plain,
% 1.35/1.14 (![X0 : $i]:
% 1.35/1.14 (~ (ssItem @ X0) | (singletonP @ (cons @ X0 @ nil)) | ~ (ssItem @ X0))),
% 1.35/1.14 inference('demod', [status(thm)], [zip_derived_cl315, zip_derived_cl7])).
% 1.35/1.14 thf(zip_derived_cl320, plain,
% 1.35/1.14 (![X0 : $i]: ( (singletonP @ (cons @ X0 @ nil)) | ~ (ssItem @ X0))),
% 1.35/1.14 inference('simplify', [status(thm)], [zip_derived_cl319])).
% 1.35/1.14 thf(zip_derived_cl1993, plain,
% 1.35/1.14 ((((nil) = (sk2)) | (singletonP @ sk2) | ~ (ssItem @ (skaf83 @ sk2)))),
% 1.35/1.14 inference('s_sup+', [status(thm)],
% 1.35/1.14 [zip_derived_cl1906, zip_derived_cl320])).
% 1.35/1.14 thf(co1_9, conjecture, (singletonP @ sk2)).
% 1.35/1.14 thf(zf_stmt_4, negated_conjecture, (~( singletonP @ sk2 )),
% 1.35/1.14 inference('cnf.neg', [status(esa)], [co1_9])).
% 1.35/1.14 thf(zip_derived_cl193, plain, (~ (singletonP @ sk2)),
% 1.35/1.14 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.35/1.14 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause12])).
% 1.35/1.14 thf(zip_derived_cl2050, plain, (((nil) = (sk2))),
% 1.35/1.14 inference('demod', [status(thm)],
% 1.35/1.14 [zip_derived_cl1993, zip_derived_cl193, zip_derived_cl11])).
% 1.35/1.14 thf(zip_derived_cl2068, plain, ( (neq @ nil @ nil)),
% 1.35/1.14 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl2050])).
% 1.35/1.14 thf(clause115, axiom,
% 1.35/1.14 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 1.35/1.14 ( ~( ssList @ U ) ))).
% 1.35/1.14 thf(zip_derived_cl114, plain,
% 1.35/1.14 (![X0 : $i, X1 : $i]:
% 1.35/1.14 (((X1) != (X0))
% 1.35/1.14 | ~ (neq @ X1 @ X0)
% 1.35/1.14 | ~ (ssList @ X0)
% 1.35/1.14 | ~ (ssList @ X1))),
% 1.35/1.14 inference('cnf', [status(esa)], [clause115])).
% 1.35/1.14 thf(zip_derived_cl201, plain,
% 1.35/1.14 (![X0 : $i]: (~ (ssList @ X0) | ~ (ssList @ X0) | ~ (neq @ X0 @ X0))),
% 1.35/1.14 inference('eq_res', [status(thm)], [zip_derived_cl114])).
% 1.35/1.14 thf(zip_derived_cl202, plain,
% 1.35/1.14 (![X0 : $i]: (~ (neq @ X0 @ X0) | ~ (ssList @ X0))),
% 1.35/1.14 inference('simplify', [status(thm)], [zip_derived_cl201])).
% 1.35/1.14 thf(zip_derived_cl2110, plain, (~ (ssList @ nil)),
% 1.35/1.14 inference('s_sup-', [status(thm)],
% 1.35/1.14 [zip_derived_cl2068, zip_derived_cl202])).
% 1.35/1.14 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.35/1.14 inference('cnf', [status(esa)], [clause8])).
% 1.35/1.14 thf(zip_derived_cl2112, plain, ($false),
% 1.35/1.14 inference('demod', [status(thm)], [zip_derived_cl2110, zip_derived_cl7])).
% 1.35/1.14
% 1.35/1.14 % SZS output end Refutation
% 1.35/1.14
% 1.35/1.14
% 1.35/1.14 % Terminating...
% 1.82/1.17 % Runner terminated.
% 1.82/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------