TSTP Solution File: SWC393-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC393-1 : 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.biCwh5bae2 true
% Computer : n020.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 21:31:16 EDT 2023
% Result : Unsatisfiable 8.95s 2.57s
% Output : Refutation 8.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC393-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.biCwh5bae2 true
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 14:58:28 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.84 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.87 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.89 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.95/2.57 % Solved by fo/fo13.sh.
% 8.95/2.57 % done 1598 iterations in 1.649s
% 8.95/2.57 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.95/2.57 % SZS output start Refutation
% 8.95/2.57 thf(nil_type, type, nil: $i).
% 8.95/2.57 thf(cons_type, type, cons: $i > $i > $i).
% 8.95/2.57 thf(sk2_type, type, sk2: $i).
% 8.95/2.57 thf(sk4_type, type, sk4: $i).
% 8.95/2.57 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 8.95/2.57 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 8.95/2.57 thf(memberP_type, type, memberP: $i > $i > $o).
% 8.95/2.57 thf(ssItem_type, type, ssItem: $i > $o).
% 8.95/2.57 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 8.95/2.57 thf(skaf82_type, type, skaf82: $i > $i).
% 8.95/2.57 thf(sk5_type, type, sk5: $i).
% 8.95/2.57 thf(sk3_type, type, sk3: $i).
% 8.95/2.57 thf(skaf47_type, type, skaf47: $i > $i > $i).
% 8.95/2.57 thf(neq_type, type, neq: $i > $i > $o).
% 8.95/2.57 thf(skaf48_type, type, skaf48: $i > $i > $i).
% 8.95/2.57 thf(app_type, type, app: $i > $i > $i).
% 8.95/2.57 thf(ssList_type, type, ssList: $i > $o).
% 8.95/2.57 thf(sk1_type, type, sk1: $i).
% 8.95/2.57 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 8.95/2.57 thf(co1_8, conjecture, (~( memberP @ sk1 @ sk5 ))).
% 8.95/2.57 thf(zf_stmt_0, negated_conjecture, (memberP @ sk1 @ sk5),
% 8.95/2.57 inference('cnf.neg', [status(esa)], [co1_8])).
% 8.95/2.57 thf(zip_derived_cl192, plain, ( (memberP @ sk1 @ sk5)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.95/2.57 thf(co1_10, conjecture,
% 8.95/2.57 (~( ( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) ) ))).
% 8.95/2.57 thf(zf_stmt_1, negated_conjecture,
% 8.95/2.57 (( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) )),
% 8.95/2.57 inference('cnf.neg', [status(esa)], [co1_10])).
% 8.95/2.57 thf(zip_derived_cl194, plain, ((((nil) != (sk4)) | ((nil) = (sk3)))),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/2.57 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 8.95/2.57 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 8.95/2.57 inference('cnf.neg', [status(esa)], [co1_5])).
% 8.95/2.57 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.95/2.57 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 8.95/2.57 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 8.95/2.57 inference('cnf.neg', [status(esa)], [co1_6])).
% 8.95/2.57 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.95/2.57 thf(zip_derived_cl197, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 8.95/2.57 inference('demod', [status(thm)],
% 8.95/2.57 [zip_derived_cl194, zip_derived_cl189, zip_derived_cl190])).
% 8.95/2.57 thf(clause85, axiom,
% 8.95/2.57 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 8.95/2.57 thf(zip_derived_cl84, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause85])).
% 8.95/2.57 thf(clause100, axiom,
% 8.95/2.57 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 8.95/2.57 ( ( V ) = ( U ) ))).
% 8.95/2.57 thf(zip_derived_cl99, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause100])).
% 8.95/2.57 thf(co1_12, conjecture,
% 8.95/2.57 (~( ( segmentP @ sk4 @ sk3 ) | ( ~( neq @ sk4 @ nil ) ) ))).
% 8.95/2.57 thf(zf_stmt_4, negated_conjecture,
% 8.95/2.57 (( segmentP @ sk4 @ sk3 ) | ( ~( neq @ sk4 @ nil ) )),
% 8.95/2.57 inference('cnf.neg', [status(esa)], [co1_12])).
% 8.95/2.57 thf(zip_derived_cl196, plain,
% 8.95/2.57 (( (segmentP @ sk4 @ sk3) | ~ (neq @ sk4 @ nil))),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.95/2.57 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.95/2.57 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.95/2.57 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.95/2.57 thf(zip_derived_cl201, plain,
% 8.95/2.57 (( (segmentP @ sk2 @ sk1) | ~ (neq @ sk2 @ nil))),
% 8.95/2.57 inference('demod', [status(thm)],
% 8.95/2.57 [zip_derived_cl196, zip_derived_cl189, zip_derived_cl190,
% 8.95/2.57 zip_derived_cl189])).
% 8.95/2.57 thf(zip_derived_cl241, plain,
% 8.95/2.57 ((((sk2) = (nil))
% 8.95/2.57 | ~ (ssList @ sk2)
% 8.95/2.57 | ~ (ssList @ nil)
% 8.95/2.57 | (segmentP @ sk2 @ sk1))),
% 8.95/2.57 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl201])).
% 8.95/2.57 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 8.95/2.57 thf(zf_stmt_5, negated_conjecture, (ssList @ sk2),
% 8.95/2.57 inference('cnf.neg', [status(esa)], [co1_2])).
% 8.95/2.57 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.95/2.57 thf(clause8, axiom, (ssList @ nil)).
% 8.95/2.57 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 8.95/2.57 inference('cnf', [status(esa)], [clause8])).
% 8.95/2.57 thf(zip_derived_cl245, plain, ((((sk2) = (nil)) | (segmentP @ sk2 @ sk1))),
% 8.95/2.57 inference('demod', [status(thm)],
% 8.95/2.57 [zip_derived_cl241, zip_derived_cl186, zip_derived_cl7])).
% 8.95/2.57 thf(clause168, axiom,
% 8.95/2.57 (( ~( segmentP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 8.95/2.57 ( ( app @ ( app @ ( skaf47 @ U @ V ) @ V ) @ ( skaf48 @ V @ U ) ) = ( U ) ))).
% 8.95/2.57 thf(zip_derived_cl167, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (~ (segmentP @ X0 @ X1)
% 8.95/2.57 | ~ (ssList @ X1)
% 8.95/2.57 | ~ (ssList @ X0)
% 8.95/2.57 | ((app @ (app @ (skaf47 @ X0 @ X1) @ X1) @ (skaf48 @ X1 @ X0))
% 8.95/2.57 = (X0)))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause168])).
% 8.95/2.57 thf(zip_derived_cl1744, plain,
% 8.95/2.57 ((((sk2) = (nil))
% 8.95/2.57 | ~ (ssList @ sk1)
% 8.95/2.57 | ~ (ssList @ sk2)
% 8.95/2.57 | ((app @ (app @ (skaf47 @ sk2 @ sk1) @ sk1) @ (skaf48 @ sk1 @ sk2))
% 8.95/2.57 = (sk2)))),
% 8.95/2.57 inference('s_sup-', [status(thm)], [zip_derived_cl245, zip_derived_cl167])).
% 8.95/2.57 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 8.95/2.57 thf(zf_stmt_6, negated_conjecture, (ssList @ sk1),
% 8.95/2.57 inference('cnf.neg', [status(esa)], [co1_1])).
% 8.95/2.57 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.95/2.57 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.95/2.57 thf(zip_derived_cl1763, plain,
% 8.95/2.57 ((((sk2) = (nil))
% 8.95/2.57 | ((app @ (app @ (skaf47 @ sk2 @ sk1) @ sk1) @ (skaf48 @ sk1 @ sk2))
% 8.95/2.57 = (sk2)))),
% 8.95/2.57 inference('demod', [status(thm)],
% 8.95/2.57 [zip_derived_cl1744, zip_derived_cl185, zip_derived_cl186])).
% 8.95/2.57 thf(zip_derived_cl192, plain, ( (memberP @ sk1 @ sk5)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.95/2.57 thf(clause141, axiom,
% 8.95/2.57 (( ~( memberP @ U @ V ) ) | ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) |
% 8.95/2.57 ( ~( ssItem @ V ) ) | ( memberP @ ( app @ W @ U ) @ V ))).
% 8.95/2.57 thf(zip_derived_cl140, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.95/2.57 (~ (memberP @ X0 @ X1)
% 8.95/2.57 | ~ (ssList @ X0)
% 8.95/2.57 | ~ (ssList @ X2)
% 8.95/2.57 | ~ (ssItem @ X1)
% 8.95/2.57 | (memberP @ (app @ X2 @ X0) @ X1))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause141])).
% 8.95/2.57 thf(zip_derived_cl814, plain,
% 8.95/2.57 (![X0 : $i]:
% 8.95/2.57 (~ (ssList @ sk1)
% 8.95/2.57 | ~ (ssList @ X0)
% 8.95/2.57 | ~ (ssItem @ sk5)
% 8.95/2.57 | (memberP @ (app @ X0 @ sk1) @ sk5))),
% 8.95/2.57 inference('s_sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl140])).
% 8.95/2.57 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.95/2.57 thf(co1_7, conjecture, (~( ssItem @ sk5 ))).
% 8.95/2.57 thf(zf_stmt_7, negated_conjecture, (ssItem @ sk5),
% 8.95/2.57 inference('cnf.neg', [status(esa)], [co1_7])).
% 8.95/2.57 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.95/2.57 thf(zip_derived_cl821, plain,
% 8.95/2.57 (![X0 : $i]: (~ (ssList @ X0) | (memberP @ (app @ X0 @ sk1) @ sk5))),
% 8.95/2.57 inference('demod', [status(thm)],
% 8.95/2.57 [zip_derived_cl814, zip_derived_cl185, zip_derived_cl191])).
% 8.95/2.57 thf(clause140, axiom,
% 8.95/2.57 (( ~( memberP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 8.95/2.57 ( ~( ssItem @ V ) ) | ( memberP @ ( app @ U @ W ) @ V ))).
% 8.95/2.57 thf(zip_derived_cl139, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.95/2.57 (~ (memberP @ X0 @ X1)
% 8.95/2.57 | ~ (ssList @ X2)
% 8.95/2.57 | ~ (ssList @ X0)
% 8.95/2.57 | ~ (ssItem @ X1)
% 8.95/2.57 | (memberP @ (app @ X0 @ X2) @ X1))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause140])).
% 8.95/2.57 thf(zip_derived_cl829, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (~ (ssList @ X0)
% 8.95/2.57 | ~ (ssList @ X1)
% 8.95/2.57 | ~ (ssList @ (app @ X0 @ sk1))
% 8.95/2.57 | ~ (ssItem @ sk5)
% 8.95/2.57 | (memberP @ (app @ (app @ X0 @ sk1) @ X1) @ sk5))),
% 8.95/2.57 inference('s_sup-', [status(thm)], [zip_derived_cl821, zip_derived_cl139])).
% 8.95/2.57 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.95/2.57 thf(zip_derived_cl836, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (~ (ssList @ X0)
% 8.95/2.57 | ~ (ssList @ X1)
% 8.95/2.57 | ~ (ssList @ (app @ X0 @ sk1))
% 8.95/2.57 | (memberP @ (app @ (app @ X0 @ sk1) @ X1) @ sk5))),
% 8.95/2.57 inference('demod', [status(thm)], [zip_derived_cl829, zip_derived_cl191])).
% 8.95/2.57 thf(zip_derived_cl8515, plain,
% 8.95/2.57 ((((sk2) = (nil))
% 8.95/2.57 | ~ (ssList @ (skaf47 @ sk2 @ sk1))
% 8.95/2.57 | ~ (ssList @ (skaf48 @ sk1 @ sk2))
% 8.95/2.57 | ~ (ssList @ (app @ (skaf47 @ sk2 @ sk1) @ sk1))
% 8.95/2.57 | (memberP @ sk2 @ sk5))),
% 8.95/2.57 inference('s_sup+', [status(thm)],
% 8.95/2.57 [zip_derived_cl1763, zip_derived_cl836])).
% 8.95/2.57 thf(clause49, axiom, (ssList @ ( skaf47 @ U @ V ))).
% 8.95/2.57 thf(zip_derived_cl48, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]: (ssList @ (skaf47 @ X0 @ X1))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause49])).
% 8.95/2.57 thf(clause48, axiom, (ssList @ ( skaf48 @ U @ V ))).
% 8.95/2.57 thf(zip_derived_cl47, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]: (ssList @ (skaf48 @ X0 @ X1))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause48])).
% 8.95/2.57 thf(co1_9, conjecture, (memberP @ sk2 @ sk5)).
% 8.95/2.57 thf(zf_stmt_8, negated_conjecture, (~( memberP @ sk2 @ sk5 )),
% 8.95/2.57 inference('cnf.neg', [status(esa)], [co1_9])).
% 8.95/2.57 thf(zip_derived_cl193, plain, (~ (memberP @ sk2 @ sk5)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_8])).
% 8.95/2.57 thf(zip_derived_cl8533, plain,
% 8.95/2.57 ((((sk2) = (nil)) | ~ (ssList @ (app @ (skaf47 @ sk2 @ sk1) @ sk1)))),
% 8.95/2.57 inference('demod', [status(thm)],
% 8.95/2.57 [zip_derived_cl8515, zip_derived_cl48, zip_derived_cl47,
% 8.95/2.57 zip_derived_cl193])).
% 8.95/2.57 thf(zip_derived_cl8540, plain,
% 8.95/2.57 ((~ (ssList @ (skaf47 @ sk2 @ sk1)) | ~ (ssList @ sk1) | ((sk2) = (nil)))),
% 8.95/2.57 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl8533])).
% 8.95/2.57 thf(zip_derived_cl48, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]: (ssList @ (skaf47 @ X0 @ X1))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause49])).
% 8.95/2.57 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.95/2.57 thf(zip_derived_cl8541, plain, (((sk2) = (nil))),
% 8.95/2.57 inference('demod', [status(thm)],
% 8.95/2.57 [zip_derived_cl8540, zip_derived_cl48, zip_derived_cl185])).
% 8.95/2.57 thf(zip_derived_cl8546, plain, ((((nil) != (nil)) | ((nil) = (sk1)))),
% 8.95/2.57 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl8541])).
% 8.95/2.57 thf(zip_derived_cl8547, plain, (((nil) = (sk1))),
% 8.95/2.57 inference('simplify', [status(thm)], [zip_derived_cl8546])).
% 8.95/2.57 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 8.95/2.57 thf(zip_derived_cl70, plain,
% 8.95/2.57 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause71])).
% 8.95/2.57 thf(clause86, axiom,
% 8.95/2.57 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 8.95/2.57 thf(zip_derived_cl85, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause86])).
% 8.95/2.57 thf(zip_derived_cl84, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause85])).
% 8.95/2.57 thf(clause72, axiom,
% 8.95/2.57 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 8.95/2.57 thf(zip_derived_cl71, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause72])).
% 8.95/2.57 thf(zip_derived_cl85, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause86])).
% 8.95/2.57 thf(zip_derived_cl84, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause85])).
% 8.95/2.57 thf(zip_derived_cl192, plain, ( (memberP @ sk1 @ sk5)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.95/2.57 thf(clause169, axiom,
% 8.95/2.57 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 8.95/2.57 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 8.95/2.57 thf(zip_derived_cl168, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (~ (memberP @ X0 @ X1)
% 8.95/2.57 | ~ (ssItem @ X1)
% 8.95/2.57 | ~ (ssList @ X0)
% 8.95/2.57 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 8.95/2.57 = (X0)))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause169])).
% 8.95/2.57 thf(zip_derived_cl1878, plain,
% 8.95/2.57 ((~ (ssItem @ sk5)
% 8.95/2.57 | ~ (ssList @ sk1)
% 8.95/2.57 | ((app @ (skaf42 @ sk1 @ sk5) @ (cons @ sk5 @ (skaf43 @ sk5 @ sk1)))
% 8.95/2.57 = (sk1)))),
% 8.95/2.57 inference('s_sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl168])).
% 8.95/2.57 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.95/2.57 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.95/2.57 thf(zip_derived_cl1887, plain,
% 8.95/2.57 (((app @ (skaf42 @ sk1 @ sk5) @ (cons @ sk5 @ (skaf43 @ sk5 @ sk1)))
% 8.95/2.57 = (sk1))),
% 8.95/2.57 inference('demod', [status(thm)],
% 8.95/2.57 [zip_derived_cl1878, zip_derived_cl191, zip_derived_cl185])).
% 8.95/2.57 thf(clause179, axiom,
% 8.95/2.57 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 8.95/2.57 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 8.95/2.57 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 8.95/2.57 thf(zip_derived_cl178, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/2.57 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 8.95/2.57 | ~ (ssList @ X4)
% 8.95/2.57 | ~ (ssList @ X3)
% 8.95/2.57 | ~ (ssList @ X1)
% 8.95/2.57 | ~ (ssItem @ X2)
% 8.95/2.57 | ~ (duplicatefreeP @ X0)
% 8.95/2.57 | ~ (ssList @ X0))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause179])).
% 8.95/2.57 thf(zip_derived_cl3475, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (((app @ sk1 @ (cons @ sk5 @ X1)) != (X0))
% 8.95/2.57 | ~ (ssList @ X1)
% 8.95/2.57 | ~ (ssList @ (skaf43 @ sk5 @ sk1))
% 8.95/2.57 | ~ (ssList @ (skaf42 @ sk1 @ sk5))
% 8.95/2.57 | ~ (ssItem @ sk5)
% 8.95/2.57 | ~ (duplicatefreeP @ X0)
% 8.95/2.57 | ~ (ssList @ X0))),
% 8.95/2.57 inference('s_sup-', [status(thm)],
% 8.95/2.57 [zip_derived_cl1887, zip_derived_cl178])).
% 8.95/2.57 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 8.95/2.57 thf(zip_derived_cl51, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause52])).
% 8.95/2.57 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 8.95/2.57 thf(zip_derived_cl52, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause53])).
% 8.95/2.57 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.95/2.57 thf(zip_derived_cl3503, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (((app @ sk1 @ (cons @ sk5 @ X1)) != (X0))
% 8.95/2.57 | ~ (ssList @ X1)
% 8.95/2.57 | ~ (duplicatefreeP @ X0)
% 8.95/2.57 | ~ (ssList @ X0))),
% 8.95/2.57 inference('demod', [status(thm)],
% 8.95/2.57 [zip_derived_cl3475, zip_derived_cl51, zip_derived_cl52,
% 8.95/2.57 zip_derived_cl191])).
% 8.95/2.57 thf(zip_derived_cl3528, plain,
% 8.95/2.57 (![X0 : $i]:
% 8.95/2.57 (~ (ssList @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 8.95/2.57 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 8.95/2.57 | ~ (ssList @ X0))),
% 8.95/2.57 inference('eq_res', [status(thm)], [zip_derived_cl3503])).
% 8.95/2.57 thf(zip_derived_cl3529, plain,
% 8.95/2.57 (![X0 : $i]:
% 8.95/2.57 (~ (ssList @ sk1)
% 8.95/2.57 | ~ (ssList @ (cons @ sk5 @ X0))
% 8.95/2.57 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 8.95/2.57 | ~ (ssList @ X0))),
% 8.95/2.57 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3528])).
% 8.95/2.57 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.95/2.57 thf(zip_derived_cl3530, plain,
% 8.95/2.57 (![X0 : $i]:
% 8.95/2.57 (~ (ssList @ (cons @ sk5 @ X0))
% 8.95/2.57 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 8.95/2.57 | ~ (ssList @ X0))),
% 8.95/2.57 inference('demod', [status(thm)], [zip_derived_cl3529, zip_derived_cl185])).
% 8.95/2.57 thf(zip_derived_cl3568, plain,
% 8.95/2.57 (![X0 : $i]:
% 8.95/2.57 (~ (ssList @ X0)
% 8.95/2.57 | ~ (ssItem @ sk5)
% 8.95/2.57 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 8.95/2.57 | ~ (ssList @ X0))),
% 8.95/2.57 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3530])).
% 8.95/2.57 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.95/2.57 thf(zip_derived_cl3569, plain,
% 8.95/2.57 (![X0 : $i]:
% 8.95/2.57 (~ (ssList @ X0)
% 8.95/2.57 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 8.95/2.57 | ~ (ssList @ X0))),
% 8.95/2.57 inference('demod', [status(thm)], [zip_derived_cl3568, zip_derived_cl191])).
% 8.95/2.57 thf(zip_derived_cl3570, plain,
% 8.95/2.57 (![X0 : $i]:
% 8.95/2.57 (~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 8.95/2.57 | ~ (ssList @ X0))),
% 8.95/2.57 inference('simplify', [status(thm)], [zip_derived_cl3569])).
% 8.95/2.57 thf(zip_derived_cl3571, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 ( (ssItem @ X1)
% 8.95/2.57 | ~ (ssList @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 8.95/2.57 | ~ (ssList @ X0))),
% 8.95/2.57 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl3570])).
% 8.95/2.57 thf(zip_derived_cl3572, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (~ (ssList @ sk1)
% 8.95/2.57 | ~ (ssList @ (cons @ sk5 @ X0))
% 8.95/2.57 | (ssItem @ X1)
% 8.95/2.57 | ~ (ssList @ X0))),
% 8.95/2.57 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3571])).
% 8.95/2.57 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.95/2.57 thf(zip_derived_cl3573, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (~ (ssList @ (cons @ sk5 @ X0)) | (ssItem @ X1) | ~ (ssList @ X0))),
% 8.95/2.57 inference('demod', [status(thm)], [zip_derived_cl3572, zip_derived_cl185])).
% 8.95/2.57 thf(zip_derived_cl3574, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (~ (ssList @ X0) | ~ (ssItem @ sk5) | (ssItem @ X1) | ~ (ssList @ X0))),
% 8.95/2.57 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3573])).
% 8.95/2.57 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 8.95/2.57 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.95/2.57 thf(zip_derived_cl3575, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]:
% 8.95/2.57 (~ (ssList @ X0) | (ssItem @ X1) | ~ (ssList @ X0))),
% 8.95/2.57 inference('demod', [status(thm)], [zip_derived_cl3574, zip_derived_cl191])).
% 8.95/2.57 thf(zip_derived_cl3576, plain,
% 8.95/2.57 (![X0 : $i, X1 : $i]: ( (ssItem @ X1) | ~ (ssList @ X0))),
% 8.95/2.57 inference('simplify', [status(thm)], [zip_derived_cl3575])).
% 8.95/2.57 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 8.95/2.57 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 8.95/2.57 inference('cnf', [status(esa)], [clause13])).
% 8.95/2.57 thf(zip_derived_cl3577, plain, (![X1 : $i]: (ssItem @ X1)),
% 8.95/2.57 inference('s_sup+', [status(thm)], [zip_derived_cl3576, zip_derived_cl12])).
% 8.95/2.57 thf(zip_derived_cl3647, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 8.95/2.57 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl3577])).
% 8.95/2.57 thf(zip_derived_cl8552, plain, ($false),
% 8.95/2.57 inference('demod', [status(thm)],
% 8.95/2.57 [zip_derived_cl192, zip_derived_cl8547, zip_derived_cl3647])).
% 8.95/2.57
% 8.95/2.57 % SZS output end Refutation
% 8.95/2.57
% 8.95/2.57
% 8.95/2.57 % Terminating...
% 9.48/2.71 % Runner terminated.
% 9.53/2.72 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------