TSTP Solution File: SWC416-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC416-1 : 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.eVRzKOmVxj true
% Computer : n012.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 21:31:27 EDT 2023
% Result : Unsatisfiable 1.53s 0.88s
% Output : Refutation 1.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC416-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eVRzKOmVxj true
% 0.14/0.35 % Computer : n012.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 15:29:54 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
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.53/0.88 % Solved by fo/fo7.sh.
% 1.53/0.88 % done 211 iterations in 0.104s
% 1.53/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.53/0.88 % SZS output start Refutation
% 1.53/0.88 thf(nil_type, type, nil: $i).
% 1.53/0.88 thf(cons_type, type, cons: $i > $i > $i).
% 1.53/0.88 thf(sk2_type, type, sk2: $i).
% 1.53/0.88 thf(sk5_type, type, sk5: $i).
% 1.53/0.88 thf(sk4_type, type, sk4: $i).
% 1.53/0.88 thf(hd_type, type, hd: $i > $i).
% 1.53/0.88 thf(ssItem_type, type, ssItem: $i > $o).
% 1.53/0.88 thf(sk3_type, type, sk3: $i).
% 1.53/0.88 thf(neq_type, type, neq: $i > $i > $o).
% 1.53/0.88 thf(app_type, type, app: $i > $i > $i).
% 1.53/0.88 thf(ssList_type, type, ssList: $i > $o).
% 1.53/0.88 thf(sk1_type, type, sk1: $i).
% 1.53/0.88 thf(clause86, axiom,
% 1.53/0.88 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 1.53/0.88 thf(zip_derived_cl14, plain,
% 1.53/0.88 (![X0 : $i, X1 : $i]:
% 1.53/0.88 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 1.53/0.88 inference('cnf', [status(esa)], [clause86])).
% 1.53/0.88 thf(co1_14, conjecture,
% 1.53/0.88 (~( ( ~( neq @ sk4 @ nil ) ) |
% 1.53/0.88 ( ( app @ ( cons @ sk5 @ nil ) @ sk3 ) = ( sk4 ) ) ))).
% 1.53/0.88 thf(zf_stmt_0, negated_conjecture,
% 1.53/0.88 (( ~( neq @ sk4 @ nil ) ) |
% 1.53/0.88 ( ( app @ ( cons @ sk5 @ nil ) @ sk3 ) = ( sk4 ) )),
% 1.53/0.88 inference('cnf.neg', [status(esa)], [co1_14])).
% 1.53/0.88 thf(zip_derived_cl59, plain,
% 1.53/0.88 ((~ (neq @ sk4 @ nil) | ((app @ (cons @ sk5 @ nil) @ sk3) = (sk4)))),
% 1.53/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.53/0.88 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 1.53/0.88 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 1.53/0.88 inference('cnf.neg', [status(esa)], [co1_5])).
% 1.53/0.88 thf(zip_derived_cl68, plain, (((sk2) = (sk4))),
% 1.53/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.88 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 1.53/0.88 thf(zf_stmt_2, negated_conjecture, (neq @ sk2 @ nil),
% 1.53/0.88 inference('cnf.neg', [status(esa)], [co1_7])).
% 1.53/0.88 thf(zip_derived_cl66, plain, ( (neq @ sk2 @ nil)),
% 1.53/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.53/0.88 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 1.53/0.88 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 1.53/0.88 inference('cnf.neg', [status(esa)], [co1_6])).
% 1.53/0.88 thf(zip_derived_cl67, plain, (((sk1) = (sk3))),
% 1.53/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.53/0.88 thf(zip_derived_cl68, plain, (((sk2) = (sk4))),
% 1.53/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.88 thf(zip_derived_cl123, plain, (((app @ (cons @ sk5 @ nil) @ sk1) = (sk2))),
% 1.53/0.88 inference('demod', [status(thm)],
% 1.53/0.88 [zip_derived_cl59, zip_derived_cl68, zip_derived_cl66,
% 1.53/0.88 zip_derived_cl67, zip_derived_cl68])).
% 1.53/0.88 thf(zip_derived_cl14, plain,
% 1.53/0.88 (![X0 : $i, X1 : $i]:
% 1.53/0.88 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 1.53/0.88 inference('cnf', [status(esa)], [clause86])).
% 1.53/0.88 thf(zip_derived_cl123, plain, (((app @ (cons @ sk5 @ nil) @ sk1) = (sk2))),
% 1.53/0.88 inference('demod', [status(thm)],
% 1.53/0.88 [zip_derived_cl59, zip_derived_cl68, zip_derived_cl66,
% 1.53/0.88 zip_derived_cl67, zip_derived_cl68])).
% 1.53/0.88 thf(clause123, axiom,
% 1.53/0.88 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 1.53/0.88 ( ( hd @ ( app @ V @ U ) ) = ( hd @ V ) ))).
% 1.53/0.88 thf(zip_derived_cl36, plain,
% 1.53/0.88 (![X0 : $i, X1 : $i]:
% 1.53/0.88 (~ (ssList @ X0)
% 1.53/0.88 | ~ (ssList @ X1)
% 1.53/0.88 | ((nil) = (X1))
% 1.53/0.88 | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 1.53/0.88 inference('cnf', [status(esa)], [clause123])).
% 1.53/0.88 thf(zip_derived_cl230, plain,
% 1.53/0.88 ((((hd @ sk2) = (hd @ (cons @ sk5 @ nil)))
% 1.53/0.88 | ((nil) = (cons @ sk5 @ nil))
% 1.53/0.88 | ~ (ssList @ (cons @ sk5 @ nil))
% 1.53/0.88 | ~ (ssList @ sk1))),
% 1.53/0.88 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl36])).
% 1.53/0.88 thf(co1_3, conjecture, (~( ssList @ sk3 ))).
% 1.53/0.88 thf(zf_stmt_4, negated_conjecture, (ssList @ sk3),
% 1.53/0.88 inference('cnf.neg', [status(esa)], [co1_3])).
% 1.53/0.88 thf(zip_derived_cl70, plain, ( (ssList @ sk3)),
% 1.53/0.88 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.53/0.88 thf(zip_derived_cl67, plain, (((sk1) = (sk3))),
% 1.53/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.53/0.88 thf(zip_derived_cl77, plain, ( (ssList @ sk1)),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.53/0.88 thf(zip_derived_cl235, plain,
% 1.53/0.88 ((((hd @ sk2) = (hd @ (cons @ sk5 @ nil)))
% 1.53/0.88 | ((nil) = (cons @ sk5 @ nil))
% 1.53/0.88 | ~ (ssList @ (cons @ sk5 @ nil)))),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl230, zip_derived_cl77])).
% 1.53/0.88 thf(zip_derived_cl268, plain,
% 1.53/0.88 ((~ (ssList @ nil)
% 1.53/0.88 | ~ (ssItem @ sk5)
% 1.53/0.88 | ((nil) = (cons @ sk5 @ nil))
% 1.53/0.88 | ((hd @ sk2) = (hd @ (cons @ sk5 @ nil))))),
% 1.53/0.88 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl235])).
% 1.53/0.88 thf(clause8, axiom, (ssList @ nil)).
% 1.53/0.88 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 1.53/0.88 inference('cnf', [status(esa)], [clause8])).
% 1.53/0.88 thf(co1_13, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 ) ))).
% 1.53/0.88 thf(zf_stmt_5, negated_conjecture,
% 1.53/0.88 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 )),
% 1.53/0.88 inference('cnf.neg', [status(esa)], [co1_13])).
% 1.53/0.88 thf(zip_derived_cl60, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk5))),
% 1.53/0.88 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.53/0.88 thf(zip_derived_cl68, plain, (((sk2) = (sk4))),
% 1.53/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.88 thf(zip_derived_cl75, plain, ((~ (neq @ sk2 @ nil) | (ssItem @ sk5))),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl68])).
% 1.53/0.88 thf(zip_derived_cl66, plain, ( (neq @ sk2 @ nil)),
% 1.53/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.53/0.88 thf(zip_derived_cl78, plain, ( (ssItem @ sk5)),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl66])).
% 1.53/0.88 thf(zip_derived_cl269, plain,
% 1.53/0.88 ((((nil) = (cons @ sk5 @ nil)) | ((hd @ sk2) = (hd @ (cons @ sk5 @ nil))))),
% 1.53/0.88 inference('demod', [status(thm)],
% 1.53/0.88 [zip_derived_cl268, zip_derived_cl2, zip_derived_cl78])).
% 1.53/0.88 thf(clause97, axiom,
% 1.53/0.88 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 1.53/0.88 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 1.53/0.88 thf(zip_derived_cl18, plain,
% 1.53/0.88 (![X0 : $i, X1 : $i]:
% 1.53/0.88 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 1.53/0.88 inference('cnf', [status(esa)], [clause97])).
% 1.53/0.88 thf(zip_derived_cl274, plain,
% 1.53/0.88 ((((hd @ sk2) = (sk5))
% 1.53/0.88 | ((nil) = (cons @ sk5 @ nil))
% 1.53/0.88 | ~ (ssList @ nil)
% 1.53/0.88 | ~ (ssItem @ sk5))),
% 1.53/0.88 inference('sup+', [status(thm)], [zip_derived_cl269, zip_derived_cl18])).
% 1.53/0.88 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 1.53/0.88 inference('cnf', [status(esa)], [clause8])).
% 1.53/0.88 thf(zip_derived_cl78, plain, ( (ssItem @ sk5)),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl66])).
% 1.53/0.88 thf(zip_derived_cl279, plain,
% 1.53/0.88 ((((hd @ sk2) = (sk5)) | ((nil) = (cons @ sk5 @ nil)))),
% 1.53/0.88 inference('demod', [status(thm)],
% 1.53/0.88 [zip_derived_cl274, zip_derived_cl2, zip_derived_cl78])).
% 1.53/0.88 thf(clause98, axiom,
% 1.53/0.88 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 1.53/0.88 ( ~( ssList @ V ) ))).
% 1.53/0.88 thf(zip_derived_cl19, plain,
% 1.53/0.88 (![X0 : $i, X1 : $i]:
% 1.53/0.88 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 1.53/0.88 inference('cnf', [status(esa)], [clause98])).
% 1.53/0.88 thf(zip_derived_cl283, plain,
% 1.53/0.88 ((((nil) != (nil))
% 1.53/0.88 | ((hd @ sk2) = (sk5))
% 1.53/0.88 | ~ (ssList @ nil)
% 1.53/0.88 | ~ (ssItem @ sk5))),
% 1.53/0.88 inference('sup-', [status(thm)], [zip_derived_cl279, zip_derived_cl19])).
% 1.53/0.88 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 1.53/0.88 inference('cnf', [status(esa)], [clause8])).
% 1.53/0.88 thf(zip_derived_cl78, plain, ( (ssItem @ sk5)),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl66])).
% 1.53/0.88 thf(zip_derived_cl298, plain, ((((nil) != (nil)) | ((hd @ sk2) = (sk5)))),
% 1.53/0.88 inference('demod', [status(thm)],
% 1.53/0.88 [zip_derived_cl283, zip_derived_cl2, zip_derived_cl78])).
% 1.53/0.88 thf(zip_derived_cl299, plain, (((hd @ sk2) = (sk5))),
% 1.53/0.88 inference('simplify', [status(thm)], [zip_derived_cl298])).
% 1.53/0.88 thf(zip_derived_cl311, plain,
% 1.53/0.88 (((app @ (cons @ (hd @ sk2) @ nil) @ sk1) = (sk2))),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl123, zip_derived_cl299])).
% 1.53/0.88 thf(clause100, axiom,
% 1.53/0.88 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 1.53/0.88 ( ( V ) = ( U ) ))).
% 1.53/0.88 thf(zip_derived_cl21, plain,
% 1.53/0.88 (![X0 : $i, X1 : $i]:
% 1.53/0.88 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 1.53/0.88 inference('cnf', [status(esa)], [clause100])).
% 1.53/0.88 thf(co1_12, conjecture,
% 1.53/0.88 (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk2 ) ) |
% 1.53/0.88 ( ( hd @ sk2 ) != ( C ) ) | ( ( cons @ C @ nil ) != ( B ) ) |
% 1.53/0.88 ( ~( ssItem @ C ) ) | ( ( app @ B @ sk1 ) != ( A ) ) |
% 1.53/0.88 ( ~( ssList @ B ) ) | ( ( sk2 ) != ( A ) ) | ( ~( ssList @ A ) ) ))).
% 1.53/0.88 thf(zf_stmt_6, negated_conjecture,
% 1.53/0.88 (( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk2 ) ) |
% 1.53/0.88 ( ( hd @ sk2 ) != ( C ) ) | ( ( cons @ C @ nil ) != ( B ) ) |
% 1.53/0.88 ( ~( ssItem @ C ) ) | ( ( app @ B @ sk1 ) != ( A ) ) |
% 1.53/0.88 ( ~( ssList @ B ) ) | ( ( sk2 ) != ( A ) ) | ( ~( ssList @ A ) )),
% 1.53/0.88 inference('cnf.neg', [status(esa)], [co1_12])).
% 1.53/0.88 thf(zip_derived_cl61, plain,
% 1.53/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.53/0.88 (~ (neq @ sk4 @ nil)
% 1.53/0.88 | ~ (neq @ nil @ sk2)
% 1.53/0.88 | ((hd @ sk2) != (X0))
% 1.53/0.88 | ((cons @ X0 @ nil) != (X1))
% 1.53/0.88 | ~ (ssItem @ X0)
% 1.53/0.88 | ((app @ X1 @ sk1) != (X2))
% 1.53/0.88 | ~ (ssList @ X1)
% 1.53/0.88 | ((sk2) != (X2))
% 1.53/0.88 | ~ (ssList @ X2))),
% 1.53/0.88 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.53/0.88 thf(zip_derived_cl68, plain, (((sk2) = (sk4))),
% 1.53/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.88 thf(zip_derived_cl66, plain, ( (neq @ sk2 @ nil)),
% 1.53/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.53/0.88 thf(zip_derived_cl138, plain,
% 1.53/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.53/0.88 (~ (neq @ nil @ sk2)
% 1.53/0.88 | ((hd @ sk2) != (X0))
% 1.53/0.88 | ((cons @ X0 @ nil) != (X1))
% 1.53/0.88 | ~ (ssItem @ X0)
% 1.53/0.88 | ((app @ X1 @ sk1) != (X2))
% 1.53/0.88 | ~ (ssList @ X1)
% 1.53/0.88 | ((sk2) != (X2))
% 1.53/0.88 | ~ (ssList @ X2))),
% 1.53/0.88 inference('demod', [status(thm)],
% 1.53/0.88 [zip_derived_cl61, zip_derived_cl68, zip_derived_cl66])).
% 1.53/0.88 thf(zip_derived_cl215, plain,
% 1.53/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.53/0.88 (((nil) = (sk2))
% 1.53/0.88 | ~ (ssList @ nil)
% 1.53/0.88 | ~ (ssList @ sk2)
% 1.53/0.88 | ~ (ssList @ X0)
% 1.53/0.88 | ((sk2) != (X0))
% 1.53/0.88 | ~ (ssList @ X1)
% 1.53/0.88 | ((app @ X1 @ sk1) != (X0))
% 1.53/0.88 | ~ (ssItem @ X2)
% 1.53/0.88 | ((cons @ X2 @ nil) != (X1))
% 1.53/0.88 | ((hd @ sk2) != (X2)))),
% 1.53/0.88 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl138])).
% 1.53/0.88 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 1.53/0.88 inference('cnf', [status(esa)], [clause8])).
% 1.53/0.88 thf(co1_4, conjecture, (~( ssList @ sk4 ))).
% 1.53/0.88 thf(zf_stmt_7, negated_conjecture, (ssList @ sk4),
% 1.53/0.88 inference('cnf.neg', [status(esa)], [co1_4])).
% 1.53/0.88 thf(zip_derived_cl69, plain, ( (ssList @ sk4)),
% 1.53/0.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.53/0.88 thf(zip_derived_cl68, plain, (((sk2) = (sk4))),
% 1.53/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.88 thf(zip_derived_cl76, plain, ( (ssList @ sk2)),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl68])).
% 1.53/0.88 thf(zip_derived_cl218, plain,
% 1.53/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.53/0.88 (((nil) = (sk2))
% 1.53/0.88 | ~ (ssList @ X0)
% 1.53/0.88 | ((sk2) != (X0))
% 1.53/0.88 | ~ (ssList @ X1)
% 1.53/0.88 | ((app @ X1 @ sk1) != (X0))
% 1.53/0.88 | ~ (ssItem @ X2)
% 1.53/0.88 | ((cons @ X2 @ nil) != (X1))
% 1.53/0.88 | ((hd @ sk2) != (X2)))),
% 1.53/0.88 inference('demod', [status(thm)],
% 1.53/0.88 [zip_derived_cl215, zip_derived_cl2, zip_derived_cl76])).
% 1.53/0.88 thf(zip_derived_cl311, plain,
% 1.53/0.88 (((app @ (cons @ (hd @ sk2) @ nil) @ sk1) = (sk2))),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl123, zip_derived_cl299])).
% 1.53/0.88 thf(clause120, axiom,
% 1.53/0.88 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 1.53/0.88 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 1.53/0.88 thf(zip_derived_cl33, plain,
% 1.53/0.88 (![X0 : $i, X1 : $i]:
% 1.53/0.88 (~ (ssItem @ X0)
% 1.53/0.88 | ~ (ssList @ X1)
% 1.53/0.88 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 1.53/0.88 inference('cnf', [status(esa)], [clause120])).
% 1.53/0.88 thf(zip_derived_cl403, plain,
% 1.53/0.88 ((((sk2) = (cons @ (hd @ sk2) @ sk1))
% 1.53/0.88 | ~ (ssList @ sk1)
% 1.53/0.88 | ~ (ssItem @ (hd @ sk2)))),
% 1.53/0.88 inference('sup+', [status(thm)], [zip_derived_cl311, zip_derived_cl33])).
% 1.53/0.88 thf(zip_derived_cl77, plain, ( (ssList @ sk1)),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.53/0.88 thf(zip_derived_cl78, plain, ( (ssItem @ sk5)),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl66])).
% 1.53/0.88 thf(zip_derived_cl299, plain, (((hd @ sk2) = (sk5))),
% 1.53/0.88 inference('simplify', [status(thm)], [zip_derived_cl298])).
% 1.53/0.88 thf(zip_derived_cl309, plain, ( (ssItem @ (hd @ sk2))),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl299])).
% 1.53/0.88 thf(zip_derived_cl404, plain, (((sk2) = (cons @ (hd @ sk2) @ sk1))),
% 1.53/0.88 inference('demod', [status(thm)],
% 1.53/0.88 [zip_derived_cl403, zip_derived_cl77, zip_derived_cl309])).
% 1.53/0.88 thf(zip_derived_cl19, plain,
% 1.53/0.88 (![X0 : $i, X1 : $i]:
% 1.53/0.88 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 1.53/0.88 inference('cnf', [status(esa)], [clause98])).
% 1.53/0.88 thf(zip_derived_cl422, plain,
% 1.53/0.88 ((((sk2) != (nil)) | ~ (ssList @ sk1) | ~ (ssItem @ (hd @ sk2)))),
% 1.53/0.88 inference('sup-', [status(thm)], [zip_derived_cl404, zip_derived_cl19])).
% 1.53/0.88 thf(zip_derived_cl77, plain, ( (ssList @ sk1)),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl67])).
% 1.53/0.88 thf(zip_derived_cl309, plain, ( (ssItem @ (hd @ sk2))),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl299])).
% 1.53/0.88 thf(zip_derived_cl435, plain, (((sk2) != (nil))),
% 1.53/0.88 inference('demod', [status(thm)],
% 1.53/0.88 [zip_derived_cl422, zip_derived_cl77, zip_derived_cl309])).
% 1.53/0.88 thf(zip_derived_cl894, plain,
% 1.53/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.53/0.88 (~ (ssList @ X0)
% 1.53/0.88 | ((sk2) != (X0))
% 1.53/0.88 | ~ (ssList @ X1)
% 1.53/0.88 | ((app @ X1 @ sk1) != (X0))
% 1.53/0.88 | ~ (ssItem @ X2)
% 1.53/0.88 | ((cons @ X2 @ nil) != (X1))
% 1.53/0.88 | ((hd @ sk2) != (X2)))),
% 1.53/0.88 inference('simplify_reflect-', [status(thm)],
% 1.53/0.88 [zip_derived_cl218, zip_derived_cl435])).
% 1.53/0.88 thf(zip_derived_cl895, plain,
% 1.53/0.88 (![X0 : $i, X1 : $i]:
% 1.53/0.88 (((hd @ sk2) != (X0))
% 1.53/0.88 | ((cons @ X0 @ nil) != (X1))
% 1.53/0.88 | ~ (ssItem @ X0)
% 1.53/0.88 | ((app @ X1 @ sk1) != (sk2))
% 1.53/0.88 | ~ (ssList @ X1)
% 1.53/0.88 | ~ (ssList @ sk2))),
% 1.53/0.88 inference('eq_res', [status(thm)], [zip_derived_cl894])).
% 1.53/0.88 thf(zip_derived_cl76, plain, ( (ssList @ sk2)),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl68])).
% 1.53/0.88 thf(zip_derived_cl896, plain,
% 1.53/0.88 (![X0 : $i, X1 : $i]:
% 1.53/0.88 (((hd @ sk2) != (X0))
% 1.53/0.88 | ((cons @ X0 @ nil) != (X1))
% 1.53/0.88 | ~ (ssItem @ X0)
% 1.53/0.88 | ((app @ X1 @ sk1) != (sk2))
% 1.53/0.88 | ~ (ssList @ X1))),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl895, zip_derived_cl76])).
% 1.53/0.88 thf(zip_derived_cl926, plain,
% 1.53/0.88 (![X0 : $i]:
% 1.53/0.88 (~ (ssList @ X0)
% 1.53/0.88 | ((app @ X0 @ sk1) != (sk2))
% 1.53/0.88 | ~ (ssItem @ (hd @ sk2))
% 1.53/0.88 | ((cons @ (hd @ sk2) @ nil) != (X0)))),
% 1.53/0.88 inference('eq_res', [status(thm)], [zip_derived_cl896])).
% 1.53/0.88 thf(zip_derived_cl309, plain, ( (ssItem @ (hd @ sk2))),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl299])).
% 1.53/0.88 thf(zip_derived_cl927, plain,
% 1.53/0.88 (![X0 : $i]:
% 1.53/0.88 (~ (ssList @ X0)
% 1.53/0.88 | ((app @ X0 @ sk1) != (sk2))
% 1.53/0.88 | ((cons @ (hd @ sk2) @ nil) != (X0)))),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl926, zip_derived_cl309])).
% 1.53/0.88 thf(zip_derived_cl930, plain,
% 1.53/0.88 ((((sk2) != (sk2))
% 1.53/0.88 | ((cons @ (hd @ sk2) @ nil) != (cons @ (hd @ sk2) @ nil))
% 1.53/0.88 | ~ (ssList @ (cons @ (hd @ sk2) @ nil)))),
% 1.53/0.88 inference('sup-', [status(thm)], [zip_derived_cl311, zip_derived_cl927])).
% 1.53/0.88 thf(zip_derived_cl936, plain, (~ (ssList @ (cons @ (hd @ sk2) @ nil))),
% 1.53/0.88 inference('simplify', [status(thm)], [zip_derived_cl930])).
% 1.53/0.88 thf(zip_derived_cl938, plain, ((~ (ssList @ nil) | ~ (ssItem @ (hd @ sk2)))),
% 1.53/0.88 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl936])).
% 1.53/0.88 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 1.53/0.88 inference('cnf', [status(esa)], [clause8])).
% 1.53/0.88 thf(zip_derived_cl309, plain, ( (ssItem @ (hd @ sk2))),
% 1.53/0.88 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl299])).
% 1.53/0.88 thf(zip_derived_cl939, plain, ($false),
% 1.53/0.88 inference('demod', [status(thm)],
% 1.53/0.88 [zip_derived_cl938, zip_derived_cl2, zip_derived_cl309])).
% 1.53/0.88
% 1.53/0.88 % SZS output end Refutation
% 1.53/0.88
% 1.53/0.88
% 1.53/0.88 % Terminating...
% 2.21/0.96 % Runner terminated.
% 2.21/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------