TSTP Solution File: SWC071-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC071-1 : 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.aatIzfoieX true
% Computer : n001.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 21:28:56 EDT 2023
% Result : Unsatisfiable 1.95s 0.83s
% Output : Refutation 1.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC071-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aatIzfoieX true
% 0.12/0.32 % Computer : n001.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Aug 28 18:43:36 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Number of cores: 8
% 0.12/0.32 % Python version: Python 3.6.8
% 0.12/0.32 % Running in FO mode
% 0.18/0.58 % Total configuration time : 435
% 0.18/0.58 % Estimated wc time : 1092
% 0.18/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.95/0.83 % Solved by fo/fo7.sh.
% 1.95/0.83 % done 264 iterations in 0.117s
% 1.95/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.95/0.83 % SZS output start Refutation
% 1.95/0.83 thf(nil_type, type, nil: $i).
% 1.95/0.83 thf(cons_type, type, cons: $i > $i > $i).
% 1.95/0.83 thf(sk2_type, type, sk2: $i).
% 1.95/0.83 thf(sk7_type, type, sk7: $i).
% 1.95/0.83 thf(sk5_type, type, sk5: $i).
% 1.95/0.83 thf(sk4_type, type, sk4: $i).
% 1.95/0.83 thf(hd_type, type, hd: $i > $i).
% 1.95/0.83 thf(ssItem_type, type, ssItem: $i > $o).
% 1.95/0.83 thf(sk3_type, type, sk3: $i).
% 1.95/0.83 thf(neq_type, type, neq: $i > $i > $o).
% 1.95/0.83 thf(app_type, type, app: $i > $i > $i).
% 1.95/0.83 thf(ssList_type, type, ssList: $i > $o).
% 1.95/0.83 thf(sk6_type, type, sk6: $i).
% 1.95/0.83 thf(sk1_type, type, sk1: $i).
% 1.95/0.83 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 1.95/0.83 thf(co1_13, conjecture,
% 1.95/0.83 (~( ( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 1.95/0.83 thf(zf_stmt_0, negated_conjecture,
% 1.95/0.83 (( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 1.95/0.83 inference('cnf.neg', [status(esa)], [co1_13])).
% 1.95/0.83 thf(zip_derived_cl80, plain,
% 1.95/0.83 ((((nil) = (sk4)) | ((cons @ sk5 @ nil) = (sk3)))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.95/0.83 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 1.95/0.83 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 1.95/0.83 inference('cnf.neg', [status(esa)], [co1_5])).
% 1.95/0.83 thf(zip_derived_cl88, plain, (((sk2) = (sk4))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.95/0.83 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 1.95/0.83 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 1.95/0.83 inference('cnf.neg', [status(esa)], [co1_6])).
% 1.95/0.83 thf(zip_derived_cl87, plain, (((sk1) = (sk3))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.95/0.83 thf(zip_derived_cl105, plain,
% 1.95/0.83 ((((nil) = (sk2)) | ((cons @ sk5 @ nil) = (sk1)))),
% 1.95/0.83 inference('demod', [status(thm)],
% 1.95/0.83 [zip_derived_cl80, zip_derived_cl88, zip_derived_cl87])).
% 1.95/0.83 thf(clause98, axiom,
% 1.95/0.83 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 1.95/0.83 ( ~( ssList @ V ) ))).
% 1.95/0.83 thf(zip_derived_cl22, plain,
% 1.95/0.83 (![X0 : $i, X1 : $i]:
% 1.95/0.83 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 1.95/0.83 inference('cnf', [status(esa)], [clause98])).
% 1.95/0.83 thf(zip_derived_cl106, plain,
% 1.95/0.83 ((((sk1) != (nil))
% 1.95/0.83 | ((nil) = (sk2))
% 1.95/0.83 | ~ (ssList @ nil)
% 1.95/0.83 | ~ (ssItem @ sk5))),
% 1.95/0.83 inference('sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl22])).
% 1.95/0.83 thf(clause8, axiom, (ssList @ nil)).
% 1.95/0.83 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 1.95/0.83 inference('cnf', [status(esa)], [clause8])).
% 1.95/0.83 thf(zip_derived_cl108, plain,
% 1.95/0.83 ((((sk1) != (nil)) | ((nil) = (sk2)) | ~ (ssItem @ sk5))),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl2])).
% 1.95/0.83 thf(co1_8, conjecture,
% 1.95/0.83 (~( ( ( nil ) != ( sk1 ) ) | ( ( nil ) != ( sk2 ) ) ))).
% 1.95/0.83 thf(zf_stmt_3, negated_conjecture,
% 1.95/0.83 (( ( nil ) != ( sk1 ) ) | ( ( nil ) != ( sk2 ) )),
% 1.95/0.83 inference('cnf.neg', [status(esa)], [co1_8])).
% 1.95/0.83 thf(zip_derived_cl85, plain, ((((nil) != (sk1)) | ((nil) != (sk2)))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.95/0.83 thf(zip_derived_cl123, plain, ((~ (ssItem @ sk5) | ((sk1) != (nil)))),
% 1.95/0.83 inference('clc', [status(thm)], [zip_derived_cl108, zip_derived_cl85])).
% 1.95/0.83 thf(co1_20, conjecture,
% 1.95/0.83 (~( ( ( nil ) = ( sk3 ) ) |
% 1.95/0.83 ( ( app @ ( app @ sk6 @ sk3 ) @ sk7 ) = ( sk4 ) ) ))).
% 1.95/0.83 thf(zf_stmt_4, negated_conjecture,
% 1.95/0.83 (( ( nil ) = ( sk3 ) ) | ( ( app @ ( app @ sk6 @ sk3 ) @ sk7 ) = ( sk4 ) )),
% 1.95/0.83 inference('cnf.neg', [status(esa)], [co1_20])).
% 1.95/0.83 thf(zip_derived_cl73, plain,
% 1.95/0.83 ((((nil) = (sk3)) | ((app @ (app @ sk6 @ sk3) @ sk7) = (sk4)))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.95/0.83 thf(zip_derived_cl87, plain, (((sk1) = (sk3))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.95/0.83 thf(zip_derived_cl87, plain, (((sk1) = (sk3))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.95/0.83 thf(zip_derived_cl88, plain, (((sk2) = (sk4))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.95/0.83 thf(zip_derived_cl128, plain,
% 1.95/0.83 ((((nil) = (sk1)) | ((app @ (app @ sk6 @ sk1) @ sk7) = (sk2)))),
% 1.95/0.83 inference('demod', [status(thm)],
% 1.95/0.83 [zip_derived_cl73, zip_derived_cl87, zip_derived_cl87,
% 1.95/0.83 zip_derived_cl88])).
% 1.95/0.83 thf(clause173, axiom,
% 1.95/0.83 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 1.95/0.83 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 1.95/0.83 ( segmentP @ X @ V ))).
% 1.95/0.83 thf(zip_derived_cl65, plain,
% 1.95/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.95/0.83 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 1.95/0.83 | ~ (ssList @ X3)
% 1.95/0.83 | ~ (ssList @ X1)
% 1.95/0.83 | ~ (ssList @ X2)
% 1.95/0.83 | ~ (ssList @ X0)
% 1.95/0.83 | (segmentP @ X0 @ X2))),
% 1.95/0.83 inference('cnf', [status(esa)], [clause173])).
% 1.95/0.83 thf(zip_derived_cl751, plain,
% 1.95/0.83 (![X0 : $i]:
% 1.95/0.83 (((sk2) != (X0))
% 1.95/0.83 | ((nil) = (sk1))
% 1.95/0.83 | (segmentP @ X0 @ sk1)
% 1.95/0.83 | ~ (ssList @ X0)
% 1.95/0.83 | ~ (ssList @ sk1)
% 1.95/0.83 | ~ (ssList @ sk6)
% 1.95/0.83 | ~ (ssList @ sk7))),
% 1.95/0.83 inference('sup-', [status(thm)], [zip_derived_cl128, zip_derived_cl65])).
% 1.95/0.83 thf(co1_3, conjecture, (~( ssList @ sk3 ))).
% 1.95/0.83 thf(zf_stmt_5, negated_conjecture, (ssList @ sk3),
% 1.95/0.83 inference('cnf.neg', [status(esa)], [co1_3])).
% 1.95/0.83 thf(zip_derived_cl90, plain, ( (ssList @ sk3)),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.95/0.83 thf(zip_derived_cl87, plain, (((sk1) = (sk3))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.95/0.83 thf(zip_derived_cl94, plain, ( (ssList @ sk1)),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.95/0.83 thf(zip_derived_cl759, plain,
% 1.95/0.83 (![X0 : $i]:
% 1.95/0.83 (((sk2) != (X0))
% 1.95/0.83 | ((nil) = (sk1))
% 1.95/0.83 | (segmentP @ X0 @ sk1)
% 1.95/0.83 | ~ (ssList @ X0)
% 1.95/0.83 | ~ (ssList @ sk6)
% 1.95/0.83 | ~ (ssList @ sk7))),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl751, zip_derived_cl94])).
% 1.95/0.83 thf(co1_17, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssList @ sk6 ) ))).
% 1.95/0.83 thf(zf_stmt_6, negated_conjecture,
% 1.95/0.83 (( ( nil ) = ( sk3 ) ) | ( ssList @ sk6 )),
% 1.95/0.83 inference('cnf.neg', [status(esa)], [co1_17])).
% 1.95/0.83 thf(zip_derived_cl76, plain, ((((nil) = (sk3)) | (ssList @ sk6))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.95/0.83 thf(zip_derived_cl87, plain, (((sk1) = (sk3))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.95/0.83 thf(zip_derived_cl96, plain, ((((nil) = (sk1)) | (ssList @ sk6))),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl87])).
% 1.95/0.83 thf(zip_derived_cl813, plain,
% 1.95/0.83 (![X0 : $i]:
% 1.95/0.83 (~ (ssList @ sk7)
% 1.95/0.83 | ~ (ssList @ X0)
% 1.95/0.83 | (segmentP @ X0 @ sk1)
% 1.95/0.83 | ((nil) = (sk1))
% 1.95/0.83 | ((sk2) != (X0)))),
% 1.95/0.83 inference('clc', [status(thm)], [zip_derived_cl759, zip_derived_cl96])).
% 1.95/0.83 thf(co1_18, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssList @ sk7 ) ))).
% 1.95/0.83 thf(zf_stmt_7, negated_conjecture,
% 1.95/0.83 (( ( nil ) = ( sk3 ) ) | ( ssList @ sk7 )),
% 1.95/0.83 inference('cnf.neg', [status(esa)], [co1_18])).
% 1.95/0.83 thf(zip_derived_cl75, plain, ((((nil) = (sk3)) | (ssList @ sk7))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.95/0.83 thf(zip_derived_cl87, plain, (((sk1) = (sk3))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.95/0.83 thf(zip_derived_cl95, plain, ((((nil) = (sk1)) | (ssList @ sk7))),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl87])).
% 1.95/0.83 thf(zip_derived_cl814, plain,
% 1.95/0.83 (![X0 : $i]:
% 1.95/0.83 (((sk2) != (X0))
% 1.95/0.83 | ((nil) = (sk1))
% 1.95/0.83 | (segmentP @ X0 @ sk1)
% 1.95/0.83 | ~ (ssList @ X0))),
% 1.95/0.83 inference('clc', [status(thm)], [zip_derived_cl813, zip_derived_cl95])).
% 1.95/0.83 thf(zip_derived_cl821, plain,
% 1.95/0.83 ((~ (ssList @ sk2) | (segmentP @ sk2 @ sk1) | ((nil) = (sk1)))),
% 1.95/0.83 inference('eq_res', [status(thm)], [zip_derived_cl814])).
% 1.95/0.83 thf(co1_4, conjecture, (~( ssList @ sk4 ))).
% 1.95/0.83 thf(zf_stmt_8, negated_conjecture, (ssList @ sk4),
% 1.95/0.83 inference('cnf.neg', [status(esa)], [co1_4])).
% 1.95/0.83 thf(zip_derived_cl89, plain, ( (ssList @ sk4)),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.95/0.83 thf(zip_derived_cl88, plain, (((sk2) = (sk4))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.95/0.83 thf(zip_derived_cl93, plain, ( (ssList @ sk2)),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl88])).
% 1.95/0.83 thf(zip_derived_cl822, plain, (( (segmentP @ sk2 @ sk1) | ((nil) = (sk1)))),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl821, zip_derived_cl93])).
% 1.95/0.83 thf(clause100, axiom,
% 1.95/0.83 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 1.95/0.83 ( ( V ) = ( U ) ))).
% 1.95/0.83 thf(zip_derived_cl24, plain,
% 1.95/0.83 (![X0 : $i, X1 : $i]:
% 1.95/0.83 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 1.95/0.83 inference('cnf', [status(esa)], [clause100])).
% 1.95/0.83 thf(clause57, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ U ))).
% 1.95/0.83 thf(zip_derived_cl4, plain,
% 1.95/0.83 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ X0))),
% 1.95/0.83 inference('cnf', [status(esa)], [clause57])).
% 1.95/0.83 thf(co1_7, conjecture,
% 1.95/0.83 (~( ( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 1.95/0.83 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) ))).
% 1.95/0.83 thf(zf_stmt_9, negated_conjecture,
% 1.95/0.83 (( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 1.95/0.83 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) )),
% 1.95/0.83 inference('cnf.neg', [status(esa)], [co1_7])).
% 1.95/0.83 thf(zip_derived_cl86, plain,
% 1.95/0.83 (![X0 : $i]:
% 1.95/0.83 (~ (segmentP @ sk1 @ X0)
% 1.95/0.83 | ~ (segmentP @ sk2 @ X0)
% 1.95/0.83 | ~ (neq @ X0 @ nil)
% 1.95/0.83 | ~ (ssList @ X0))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.95/0.83 thf(zip_derived_cl144, plain,
% 1.95/0.83 ((~ (ssList @ sk1)
% 1.95/0.83 | ~ (ssList @ sk1)
% 1.95/0.83 | ~ (neq @ sk1 @ nil)
% 1.95/0.83 | ~ (segmentP @ sk2 @ sk1))),
% 1.95/0.83 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl86])).
% 1.95/0.83 thf(zip_derived_cl94, plain, ( (ssList @ sk1)),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.95/0.83 thf(zip_derived_cl94, plain, ( (ssList @ sk1)),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.95/0.83 thf(zip_derived_cl146, plain,
% 1.95/0.83 ((~ (neq @ sk1 @ nil) | ~ (segmentP @ sk2 @ sk1))),
% 1.95/0.83 inference('demod', [status(thm)],
% 1.95/0.83 [zip_derived_cl144, zip_derived_cl94, zip_derived_cl94])).
% 1.95/0.83 thf(zip_derived_cl401, plain,
% 1.95/0.83 ((((sk1) = (nil))
% 1.95/0.83 | ~ (ssList @ sk1)
% 1.95/0.83 | ~ (ssList @ nil)
% 1.95/0.83 | ~ (segmentP @ sk2 @ sk1))),
% 1.95/0.83 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl146])).
% 1.95/0.83 thf(zip_derived_cl94, plain, ( (ssList @ sk1)),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl87])).
% 1.95/0.83 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 1.95/0.83 inference('cnf', [status(esa)], [clause8])).
% 1.95/0.83 thf(zip_derived_cl405, plain, ((((sk1) = (nil)) | ~ (segmentP @ sk2 @ sk1))),
% 1.95/0.83 inference('demod', [status(thm)],
% 1.95/0.83 [zip_derived_cl401, zip_derived_cl94, zip_derived_cl2])).
% 1.95/0.83 thf(zip_derived_cl843, plain, (((nil) = (sk1))),
% 1.95/0.83 inference('clc', [status(thm)], [zip_derived_cl822, zip_derived_cl405])).
% 1.95/0.83 thf(zip_derived_cl850, plain, ((~ (ssItem @ sk5) | ((nil) != (nil)))),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl123, zip_derived_cl843])).
% 1.95/0.83 thf(zip_derived_cl851, plain, (~ (ssItem @ sk5)),
% 1.95/0.83 inference('simplify', [status(thm)], [zip_derived_cl850])).
% 1.95/0.83 thf(zip_derived_cl105, plain,
% 1.95/0.83 ((((nil) = (sk2)) | ((cons @ sk5 @ nil) = (sk1)))),
% 1.95/0.83 inference('demod', [status(thm)],
% 1.95/0.83 [zip_derived_cl80, zip_derived_cl88, zip_derived_cl87])).
% 1.95/0.83 thf(clause97, axiom,
% 1.95/0.83 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 1.95/0.83 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 1.95/0.83 thf(zip_derived_cl21, plain,
% 1.95/0.83 (![X0 : $i, X1 : $i]:
% 1.95/0.83 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 1.95/0.83 inference('cnf', [status(esa)], [clause97])).
% 1.95/0.83 thf(zip_derived_cl436, plain,
% 1.95/0.83 ((((hd @ sk1) = (sk5))
% 1.95/0.83 | ((nil) = (sk2))
% 1.95/0.83 | ~ (ssList @ nil)
% 1.95/0.83 | ~ (ssItem @ sk5))),
% 1.95/0.83 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl21])).
% 1.95/0.83 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 1.95/0.83 inference('cnf', [status(esa)], [clause8])).
% 1.95/0.83 thf(zip_derived_cl438, plain,
% 1.95/0.83 ((((hd @ sk1) = (sk5)) | ((nil) = (sk2)) | ~ (ssItem @ sk5))),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl436, zip_derived_cl2])).
% 1.95/0.83 thf(co1_9, conjecture, (~( ( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 ) ))).
% 1.95/0.83 thf(zf_stmt_10, negated_conjecture,
% 1.95/0.83 (( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 )),
% 1.95/0.83 inference('cnf.neg', [status(esa)], [co1_9])).
% 1.95/0.83 thf(zip_derived_cl84, plain, ((((nil) = (sk4)) | (ssItem @ sk5))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.95/0.83 thf(zip_derived_cl88, plain, (((sk2) = (sk4))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.95/0.83 thf(zip_derived_cl102, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl88])).
% 1.95/0.83 thf(zip_derived_cl440, plain, ((((nil) = (sk2)) | ((hd @ sk1) = (sk5)))),
% 1.95/0.83 inference('clc', [status(thm)], [zip_derived_cl438, zip_derived_cl102])).
% 1.95/0.83 thf(zip_derived_cl843, plain, (((nil) = (sk1))),
% 1.95/0.83 inference('clc', [status(thm)], [zip_derived_cl822, zip_derived_cl405])).
% 1.95/0.83 thf(zip_derived_cl866, plain, ((((nil) = (sk2)) | ((hd @ nil) = (sk5)))),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl440, zip_derived_cl843])).
% 1.95/0.83 thf(zip_derived_cl85, plain, ((((nil) != (sk1)) | ((nil) != (sk2)))),
% 1.95/0.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.95/0.83 thf(zip_derived_cl843, plain, (((nil) = (sk1))),
% 1.95/0.83 inference('clc', [status(thm)], [zip_derived_cl822, zip_derived_cl405])).
% 1.95/0.83 thf(zip_derived_cl844, plain, ((((nil) != (nil)) | ((nil) != (sk2)))),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl843])).
% 1.95/0.83 thf(zip_derived_cl845, plain, (((nil) != (sk2))),
% 1.95/0.83 inference('simplify', [status(thm)], [zip_derived_cl844])).
% 1.95/0.83 thf(zip_derived_cl889, plain, (((hd @ nil) = (sk5))),
% 1.95/0.83 inference('simplify_reflect-', [status(thm)],
% 1.95/0.83 [zip_derived_cl866, zip_derived_cl845])).
% 1.95/0.83 thf(zip_derived_cl896, plain, (~ (ssItem @ (hd @ nil))),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl851, zip_derived_cl889])).
% 1.95/0.83 thf(zip_derived_cl102, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl88])).
% 1.95/0.83 thf(zip_derived_cl845, plain, (((nil) != (sk2))),
% 1.95/0.83 inference('simplify', [status(thm)], [zip_derived_cl844])).
% 1.95/0.83 thf(zip_derived_cl886, plain, ( (ssItem @ sk5)),
% 1.95/0.83 inference('simplify_reflect-', [status(thm)],
% 1.95/0.83 [zip_derived_cl102, zip_derived_cl845])).
% 1.95/0.83 thf(zip_derived_cl889, plain, (((hd @ nil) = (sk5))),
% 1.95/0.83 inference('simplify_reflect-', [status(thm)],
% 1.95/0.83 [zip_derived_cl866, zip_derived_cl845])).
% 1.95/0.83 thf(zip_derived_cl897, plain, ( (ssItem @ (hd @ nil))),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl886, zip_derived_cl889])).
% 1.95/0.83 thf(zip_derived_cl900, plain, ($false),
% 1.95/0.83 inference('demod', [status(thm)], [zip_derived_cl896, zip_derived_cl897])).
% 1.95/0.83
% 1.95/0.83 % SZS output end Refutation
% 1.95/0.83
% 1.95/0.83
% 1.95/0.83 % Terminating...
% 2.34/0.89 % Runner terminated.
% 2.34/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------