TSTP Solution File: SWC229-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC229-1 : 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.2j0yCs7siU 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 21:30:03 EDT 2023
% Result : Unsatisfiable 0.58s 1.13s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC229-1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2j0yCs7siU true
% 0.15/0.35 % Computer : n021.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 16:15:43 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.53/0.65 % Total configuration time : 435
% 0.53/0.65 % Estimated wc time : 1092
% 0.53/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/1.13 % Solved by fo/fo3_bce.sh.
% 0.58/1.13 % BCE start: 84
% 0.58/1.13 % BCE eliminated: 6
% 0.58/1.13 % PE start: 78
% 0.58/1.13 logic: eq
% 0.58/1.13 % PE eliminated: 0
% 0.58/1.13 % done 649 iterations in 0.360s
% 0.58/1.13 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/1.13 % SZS output start Refutation
% 0.58/1.13 thf(nil_type, type, nil: $i).
% 0.58/1.13 thf(sk5_type, type, sk5: $i > $i > $i > $i).
% 0.58/1.13 thf(cons_type, type, cons: $i > $i > $i).
% 0.58/1.13 thf(sk2_type, type, sk2: $i).
% 0.58/1.13 thf(sk4_type, type, sk4: $i).
% 0.58/1.13 thf(memberP_type, type, memberP: $i > $i > $o).
% 0.58/1.13 thf(ssItem_type, type, ssItem: $i > $o).
% 0.58/1.13 thf(skaf44_type, type, skaf44: $i > $i).
% 0.58/1.13 thf(sk3_type, type, sk3: $i).
% 0.58/1.13 thf(neq_type, type, neq: $i > $i > $o).
% 0.58/1.13 thf(app_type, type, app: $i > $i > $i).
% 0.58/1.13 thf(ssList_type, type, ssList: $i > $o).
% 0.58/1.13 thf(sk1_type, type, sk1: $i).
% 0.58/1.13 thf(singletonP_type, type, singletonP: $i > $o).
% 0.58/1.13 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 0.58/1.13 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 0.58/1.13 thf(zip_derived_cl10, plain,
% 0.58/1.13 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause73])).
% 0.58/1.13 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 0.58/1.13 thf(zip_derived_cl11, plain,
% 0.58/1.13 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause74])).
% 0.58/1.13 thf(clause86, axiom,
% 0.58/1.13 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 0.58/1.13 thf(zip_derived_cl17, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause86])).
% 0.58/1.13 thf(clause100, axiom,
% 0.58/1.13 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 0.58/1.13 ( ( V ) = ( U ) ))).
% 0.58/1.13 thf(zip_derived_cl22, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause100])).
% 0.58/1.13 thf(co1_14, conjecture,
% 0.58/1.13 (~( ( ~( neq @ sk4 @ nil ) ) | ( singletonP @ sk3 ) ))).
% 0.58/1.13 thf(zf_stmt_0, negated_conjecture,
% 0.58/1.13 (( ~( neq @ sk4 @ nil ) ) | ( singletonP @ sk3 )),
% 0.58/1.13 inference('cnf.neg', [status(esa)], [co1_14])).
% 0.58/1.13 thf(zip_derived_cl70, plain, ((~ (neq @ sk4 @ nil) | (singletonP @ sk3))),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.13 thf(zip_derived_cl622, plain,
% 0.58/1.13 ((((sk4) = (nil))
% 0.58/1.13 | ~ (ssList @ sk4)
% 0.58/1.13 | ~ (ssList @ nil)
% 0.58/1.13 | (singletonP @ sk3))),
% 0.58/1.13 inference('dp-resolution', [status(thm)],
% 0.58/1.13 [zip_derived_cl22, zip_derived_cl70])).
% 0.58/1.13 thf(clause101, axiom,
% 0.58/1.13 (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) |
% 0.58/1.13 ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 0.58/1.13 thf(zip_derived_cl23, plain,
% 0.58/1.13 (![X0 : $i]:
% 0.58/1.13 (~ (singletonP @ X0)
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause101])).
% 0.58/1.13 thf(zip_derived_cl629, plain,
% 0.58/1.13 ((~ (ssList @ nil)
% 0.58/1.13 | ~ (ssList @ sk4)
% 0.58/1.13 | ((sk4) = (nil))
% 0.58/1.13 | ((cons @ (skaf44 @ sk3) @ nil) = (sk3))
% 0.58/1.13 | ~ (ssList @ sk3))),
% 0.58/1.13 inference('dp-resolution', [status(thm)],
% 0.58/1.13 [zip_derived_cl622, zip_derived_cl23])).
% 0.58/1.13 thf(clause8, axiom, (ssList @ nil)).
% 0.58/1.13 thf(zip_derived_cl1, plain, ( (ssList @ nil)),
% 0.58/1.13 inference('cnf', [status(esa)], [clause8])).
% 0.58/1.13 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.58/1.13 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.58/1.13 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.58/1.13 thf(zip_derived_cl79, plain, (((sk2) = (sk4))),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.13 thf(co1_4, conjecture, (~( ssList @ sk4 ))).
% 0.58/1.13 thf(zf_stmt_2, negated_conjecture, (ssList @ sk4),
% 0.58/1.13 inference('cnf.neg', [status(esa)], [co1_4])).
% 0.58/1.13 thf(zip_derived_cl80, plain, ( (ssList @ sk4)),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.58/1.13 thf(zip_derived_cl79, plain, (((sk2) = (sk4))),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.13 thf(zip_derived_cl634, plain, ( (ssList @ sk2)),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl79])).
% 0.58/1.13 thf(zip_derived_cl79, plain, (((sk2) = (sk4))),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.13 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.58/1.13 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.58/1.13 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.58/1.13 thf(zip_derived_cl78, plain, (((sk1) = (sk3))),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/1.13 thf(zip_derived_cl78, plain, (((sk1) = (sk3))),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/1.13 thf(zip_derived_cl78, plain, (((sk1) = (sk3))),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/1.13 thf(co1_3, conjecture, (~( ssList @ sk3 ))).
% 0.58/1.13 thf(zf_stmt_4, negated_conjecture, (ssList @ sk3),
% 0.58/1.13 inference('cnf.neg', [status(esa)], [co1_3])).
% 0.58/1.13 thf(zip_derived_cl81, plain, ( (ssList @ sk3)),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.58/1.13 thf(zip_derived_cl78, plain, (((sk1) = (sk3))),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/1.13 thf(zip_derived_cl635, plain, ( (ssList @ sk1)),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/1.13 thf(zip_derived_cl652, plain,
% 0.58/1.13 ((((sk2) = (nil)) | ((cons @ (skaf44 @ sk1) @ nil) = (sk1)))),
% 0.58/1.13 inference('demod', [status(thm)],
% 0.58/1.13 [zip_derived_cl629, zip_derived_cl1, zip_derived_cl79,
% 0.58/1.13 zip_derived_cl634, zip_derived_cl79, zip_derived_cl78,
% 0.58/1.13 zip_derived_cl78, zip_derived_cl78, zip_derived_cl635])).
% 0.58/1.13 thf(clause120, axiom,
% 0.58/1.13 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 0.58/1.13 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 0.58/1.13 thf(zip_derived_cl35, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (~ (ssItem @ X0)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause120])).
% 0.58/1.13 thf(zip_derived_cl786, plain,
% 0.58/1.13 (![X0 : $i]:
% 0.58/1.13 (((app @ sk1 @ X0) = (cons @ (skaf44 @ sk1) @ X0))
% 0.58/1.13 | ((sk2) = (nil))
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ~ (ssItem @ (skaf44 @ sk1)))),
% 0.58/1.13 inference('sup+', [status(thm)], [zip_derived_cl652, zip_derived_cl35])).
% 0.58/1.13 thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 0.58/1.13 thf(zip_derived_cl3, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause47])).
% 0.58/1.13 thf(zip_derived_cl789, plain,
% 0.58/1.13 (![X0 : $i]:
% 0.58/1.13 (((app @ sk1 @ X0) = (cons @ (skaf44 @ sk1) @ X0))
% 0.58/1.13 | ((sk2) = (nil))
% 0.58/1.13 | ~ (ssList @ X0))),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl786, zip_derived_cl3])).
% 0.58/1.13 thf(zip_derived_cl10, plain,
% 0.58/1.13 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause73])).
% 0.58/1.13 thf(clause151, axiom,
% 0.58/1.13 (( ( app @ U @ V ) != ( app @ W @ V ) ) | ( ~( ssList @ U ) ) |
% 0.58/1.13 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( ( U ) = ( W ) ))).
% 0.58/1.13 thf(zip_derived_cl52, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.13 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 0.58/1.13 | ~ (ssList @ X2)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ((X2) = (X0)))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause151])).
% 0.58/1.13 thf(zip_derived_cl1135, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (((X0) != (app @ X1 @ nil))
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ((X0) = (X1))
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (ssList @ nil)
% 0.58/1.13 | ~ (ssList @ X0))),
% 0.58/1.13 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl52])).
% 0.58/1.13 thf(zip_derived_cl1, plain, ( (ssList @ nil)),
% 0.58/1.13 inference('cnf', [status(esa)], [clause8])).
% 0.58/1.13 thf(zip_derived_cl1147, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (((X0) != (app @ X1 @ nil))
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ((X0) = (X1))
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (ssList @ X0))),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl1135, zip_derived_cl1])).
% 0.58/1.13 thf(zip_derived_cl1148, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (~ (ssList @ X1)
% 0.58/1.13 | ((X0) = (X1))
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ((X0) != (app @ X1 @ nil)))),
% 0.58/1.13 inference('simplify', [status(thm)], [zip_derived_cl1147])).
% 0.58/1.13 thf(zip_derived_cl1282, plain,
% 0.58/1.13 (![X0 : $i]:
% 0.58/1.13 (((X0) != (cons @ (skaf44 @ sk1) @ nil))
% 0.58/1.13 | ~ (ssList @ nil)
% 0.58/1.13 | ((sk2) = (nil))
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ((X0) = (sk1))
% 0.58/1.13 | ~ (ssList @ sk1))),
% 0.58/1.13 inference('sup-', [status(thm)], [zip_derived_cl789, zip_derived_cl1148])).
% 0.58/1.13 thf(zip_derived_cl1, plain, ( (ssList @ nil)),
% 0.58/1.13 inference('cnf', [status(esa)], [clause8])).
% 0.58/1.13 thf(zip_derived_cl635, plain, ( (ssList @ sk1)),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/1.13 thf(zip_derived_cl1289, plain,
% 0.58/1.13 (![X0 : $i]:
% 0.58/1.13 (((X0) != (cons @ (skaf44 @ sk1) @ nil))
% 0.58/1.13 | ((sk2) = (nil))
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ((X0) = (sk1)))),
% 0.58/1.13 inference('demod', [status(thm)],
% 0.58/1.13 [zip_derived_cl1282, zip_derived_cl1, zip_derived_cl635])).
% 0.58/1.13 thf(clause80, axiom,
% 0.58/1.13 (( ~( segmentP @ nil @ U ) ) | ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.58/1.13 thf(zip_derived_cl15, plain,
% 0.58/1.13 (![X0 : $i]: (~ (segmentP @ nil @ X0) | ~ (ssList @ X0) | ((nil) = (X0)))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause80])).
% 0.58/1.13 thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 0.58/1.13 thf(zip_derived_cl4, plain,
% 0.58/1.13 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ nil))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause56])).
% 0.58/1.13 thf(co1_7, conjecture, (~( segmentP @ sk4 @ sk3 ))).
% 0.58/1.13 thf(zf_stmt_5, negated_conjecture, (segmentP @ sk4 @ sk3),
% 0.58/1.13 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.58/1.13 thf(zip_derived_cl77, plain, ( (segmentP @ sk4 @ sk3)),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.58/1.13 thf(zip_derived_cl79, plain, (((sk2) = (sk4))),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.13 thf(zip_derived_cl78, plain, (((sk1) = (sk3))),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/1.13 thf(zip_derived_cl636, plain, ( (segmentP @ sk2 @ sk1)),
% 0.58/1.13 inference('demod', [status(thm)],
% 0.58/1.13 [zip_derived_cl77, zip_derived_cl79, zip_derived_cl78])).
% 0.58/1.13 thf(clause79, axiom,
% 0.58/1.13 (( ( nil ) != ( U ) ) | ( ~( ssList @ U ) ) | ( segmentP @ nil @ U ))).
% 0.58/1.13 thf(zip_derived_cl14, plain,
% 0.58/1.13 (![X0 : $i]: (((nil) != (X0)) | ~ (ssList @ X0) | (segmentP @ nil @ X0))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause79])).
% 0.58/1.13 thf(zip_derived_cl636, plain, ( (segmentP @ sk2 @ sk1)),
% 0.58/1.13 inference('demod', [status(thm)],
% 0.58/1.13 [zip_derived_cl77, zip_derived_cl79, zip_derived_cl78])).
% 0.58/1.13 thf(clause152, axiom,
% 0.58/1.13 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ W ) ) |
% 0.58/1.13 ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 0.58/1.13 ( segmentP @ U @ W ))).
% 0.58/1.13 thf(zip_derived_cl53, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.13 (~ (segmentP @ X0 @ X1)
% 0.58/1.13 | ~ (segmentP @ X1 @ X2)
% 0.58/1.13 | ~ (ssList @ X2)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | (segmentP @ X0 @ X2))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause152])).
% 0.58/1.13 thf(zip_derived_cl799, plain,
% 0.58/1.13 (![X0 : $i]:
% 0.58/1.13 ( (segmentP @ sk2 @ X0)
% 0.58/1.13 | ~ (ssList @ sk2)
% 0.58/1.13 | ~ (ssList @ sk1)
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ~ (segmentP @ sk1 @ X0))),
% 0.58/1.13 inference('sup-', [status(thm)], [zip_derived_cl636, zip_derived_cl53])).
% 0.58/1.13 thf(zip_derived_cl634, plain, ( (ssList @ sk2)),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl79])).
% 0.58/1.13 thf(zip_derived_cl635, plain, ( (ssList @ sk1)),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/1.13 thf(zip_derived_cl809, plain,
% 0.58/1.13 (![X0 : $i]:
% 0.58/1.13 ( (segmentP @ sk2 @ X0) | ~ (ssList @ X0) | ~ (segmentP @ sk1 @ X0))),
% 0.58/1.13 inference('demod', [status(thm)],
% 0.58/1.13 [zip_derived_cl799, zip_derived_cl634, zip_derived_cl635])).
% 0.58/1.13 thf(zip_derived_cl53, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.13 (~ (segmentP @ X0 @ X1)
% 0.58/1.13 | ~ (segmentP @ X1 @ X2)
% 0.58/1.13 | ~ (ssList @ X2)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | (segmentP @ X0 @ X2))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause152])).
% 0.58/1.13 thf(zip_derived_cl811, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (~ (segmentP @ sk1 @ X0)
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | (segmentP @ sk2 @ X1)
% 0.58/1.13 | ~ (ssList @ sk2)
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (segmentP @ X0 @ X1))),
% 0.58/1.13 inference('sup-', [status(thm)], [zip_derived_cl809, zip_derived_cl53])).
% 0.58/1.13 thf(zip_derived_cl634, plain, ( (ssList @ sk2)),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl79])).
% 0.58/1.13 thf(zip_derived_cl814, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (~ (segmentP @ sk1 @ X0)
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | (segmentP @ sk2 @ X1)
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (segmentP @ X0 @ X1))),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl811, zip_derived_cl634])).
% 0.58/1.13 thf(zip_derived_cl815, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (~ (segmentP @ X0 @ X1)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | (segmentP @ sk2 @ X1)
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ~ (segmentP @ sk1 @ X0))),
% 0.58/1.13 inference('simplify', [status(thm)], [zip_derived_cl814])).
% 0.58/1.13 thf(zip_derived_cl826, plain,
% 0.58/1.13 (![X0 : $i]:
% 0.58/1.13 (~ (ssList @ X0)
% 0.58/1.13 | ((nil) != (X0))
% 0.58/1.13 | ~ (segmentP @ sk1 @ nil)
% 0.58/1.13 | ~ (ssList @ nil)
% 0.58/1.13 | (segmentP @ sk2 @ X0)
% 0.58/1.13 | ~ (ssList @ X0))),
% 0.58/1.13 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl815])).
% 0.58/1.13 thf(zip_derived_cl1, plain, ( (ssList @ nil)),
% 0.58/1.13 inference('cnf', [status(esa)], [clause8])).
% 0.58/1.13 thf(zip_derived_cl833, plain,
% 0.58/1.13 (![X0 : $i]:
% 0.58/1.13 (~ (ssList @ X0)
% 0.58/1.13 | ((nil) != (X0))
% 0.58/1.13 | ~ (segmentP @ sk1 @ nil)
% 0.58/1.13 | (segmentP @ sk2 @ X0)
% 0.58/1.13 | ~ (ssList @ X0))),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl826, zip_derived_cl1])).
% 0.58/1.13 thf(zip_derived_cl834, plain,
% 0.58/1.13 (![X0 : $i]:
% 0.58/1.13 ( (segmentP @ sk2 @ X0)
% 0.58/1.13 | ~ (segmentP @ sk1 @ nil)
% 0.58/1.13 | ((nil) != (X0))
% 0.58/1.13 | ~ (ssList @ X0))),
% 0.58/1.13 inference('simplify', [status(thm)], [zip_derived_cl833])).
% 0.58/1.13 thf(zip_derived_cl53, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.13 (~ (segmentP @ X0 @ X1)
% 0.58/1.13 | ~ (segmentP @ X1 @ X2)
% 0.58/1.13 | ~ (ssList @ X2)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | (segmentP @ X0 @ X2))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause152])).
% 0.58/1.13 thf(zip_derived_cl892, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (~ (ssList @ X0)
% 0.58/1.13 | ((nil) != (X0))
% 0.58/1.13 | ~ (segmentP @ sk1 @ nil)
% 0.58/1.13 | (segmentP @ sk2 @ X1)
% 0.58/1.13 | ~ (ssList @ sk2)
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (segmentP @ X0 @ X1))),
% 0.58/1.13 inference('sup-', [status(thm)], [zip_derived_cl834, zip_derived_cl53])).
% 0.58/1.13 thf(zip_derived_cl634, plain, ( (ssList @ sk2)),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl79])).
% 0.58/1.13 thf(zip_derived_cl898, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (~ (ssList @ X0)
% 0.58/1.13 | ((nil) != (X0))
% 0.58/1.13 | ~ (segmentP @ sk1 @ nil)
% 0.58/1.13 | (segmentP @ sk2 @ X1)
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (segmentP @ X0 @ X1))),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl892, zip_derived_cl634])).
% 0.58/1.13 thf(zip_derived_cl899, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (~ (segmentP @ X0 @ X1)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | (segmentP @ sk2 @ X1)
% 0.58/1.13 | ~ (segmentP @ sk1 @ nil)
% 0.58/1.13 | ((nil) != (X0))
% 0.58/1.13 | ~ (ssList @ X0))),
% 0.58/1.13 inference('simplify', [status(thm)], [zip_derived_cl898])).
% 0.58/1.13 thf(zip_derived_cl1170, plain,
% 0.58/1.13 ((~ (ssList @ sk2)
% 0.58/1.13 | ((nil) != (sk2))
% 0.58/1.13 | ~ (segmentP @ sk1 @ nil)
% 0.58/1.13 | (segmentP @ sk2 @ sk1)
% 0.58/1.13 | ~ (ssList @ sk1))),
% 0.58/1.13 inference('sup-', [status(thm)], [zip_derived_cl636, zip_derived_cl899])).
% 0.58/1.13 thf(zip_derived_cl634, plain, ( (ssList @ sk2)),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl79])).
% 0.58/1.13 thf(zip_derived_cl635, plain, ( (ssList @ sk1)),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/1.13 thf(zip_derived_cl1192, plain,
% 0.58/1.13 ((((nil) != (sk2)) | ~ (segmentP @ sk1 @ nil) | (segmentP @ sk2 @ sk1))),
% 0.58/1.13 inference('demod', [status(thm)],
% 0.58/1.13 [zip_derived_cl1170, zip_derived_cl634, zip_derived_cl635])).
% 0.58/1.13 thf(zip_derived_cl1193, plain,
% 0.58/1.13 ((((nil) != (sk2)) | ~ (segmentP @ sk1 @ nil) | (segmentP @ nil @ sk1))),
% 0.58/1.13 inference('local_rewriting', [status(thm)], [zip_derived_cl1192])).
% 0.58/1.13 thf(zip_derived_cl1217, plain,
% 0.58/1.13 ((~ (ssList @ sk1) | (segmentP @ nil @ sk1) | ((nil) != (sk2)))),
% 0.58/1.13 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1193])).
% 0.58/1.13 thf(zip_derived_cl635, plain, ( (ssList @ sk1)),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/1.13 thf(zip_derived_cl1218, plain,
% 0.58/1.13 (( (segmentP @ nil @ sk1) | ((nil) != (sk2)))),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl1217, zip_derived_cl635])).
% 0.58/1.13 thf(zip_derived_cl1226, plain,
% 0.58/1.13 ((((nil) = (sk1)) | ~ (ssList @ sk1) | ((nil) != (sk2)))),
% 0.58/1.13 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1218])).
% 0.58/1.13 thf(zip_derived_cl635, plain, ( (ssList @ sk1)),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/1.13 thf(zip_derived_cl1227, plain, ((((nil) = (sk1)) | ((nil) != (sk2)))),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl1226, zip_derived_cl635])).
% 0.58/1.13 thf(co1_8, conjecture, (( nil ) = ( sk1 ))).
% 0.58/1.13 thf(zf_stmt_6, negated_conjecture, (( nil ) != ( sk1 )),
% 0.58/1.13 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.58/1.13 thf(zip_derived_cl76, plain, (((nil) != (sk1))),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.58/1.13 thf(zip_derived_cl1228, plain, (((nil) != (sk2))),
% 0.58/1.13 inference('simplify_reflect-', [status(thm)],
% 0.58/1.13 [zip_derived_cl1227, zip_derived_cl76])).
% 0.58/1.13 thf(zip_derived_cl1290, plain,
% 0.58/1.13 (![X0 : $i]:
% 0.58/1.13 (((X0) != (cons @ (skaf44 @ sk1) @ nil))
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ((X0) = (sk1)))),
% 0.58/1.13 inference('simplify_reflect-', [status(thm)],
% 0.58/1.13 [zip_derived_cl1289, zip_derived_cl1228])).
% 0.58/1.13 thf(zip_derived_cl1292, plain,
% 0.58/1.13 ((((cons @ (skaf44 @ sk1) @ nil) = (sk1))
% 0.58/1.13 | ~ (ssList @ (cons @ (skaf44 @ sk1) @ nil)))),
% 0.58/1.13 inference('eq_res', [status(thm)], [zip_derived_cl1290])).
% 0.58/1.13 thf(zip_derived_cl1296, plain,
% 0.58/1.13 ((~ (ssList @ nil)
% 0.58/1.13 | ~ (ssItem @ (skaf44 @ sk1))
% 0.58/1.13 | ((cons @ (skaf44 @ sk1) @ nil) = (sk1)))),
% 0.58/1.13 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl1292])).
% 0.58/1.13 thf(zip_derived_cl1, plain, ( (ssList @ nil)),
% 0.58/1.13 inference('cnf', [status(esa)], [clause8])).
% 0.58/1.13 thf(zip_derived_cl3, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause47])).
% 0.58/1.13 thf(zip_derived_cl1299, plain, (((cons @ (skaf44 @ sk1) @ nil) = (sk1))),
% 0.58/1.13 inference('demod', [status(thm)],
% 0.58/1.13 [zip_derived_cl1296, zip_derived_cl1, zip_derived_cl3])).
% 0.58/1.13 thf(co1_9, conjecture,
% 0.58/1.13 (~( ( ssItem @ ( sk5 @ C @ B @ A ) ) |
% 0.58/1.13 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 0.58/1.13 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.58/1.13 thf(zf_stmt_7, negated_conjecture,
% 0.58/1.13 (( ssItem @ ( sk5 @ C @ B @ A ) ) |
% 0.58/1.13 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 0.58/1.13 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.58/1.13 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.58/1.13 thf(zip_derived_cl75, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.13 ( (ssItem @ (sk5 @ X0 @ X1 @ X2))
% 0.58/1.13 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk1))
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (ssItem @ X2))),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.58/1.13 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 0.58/1.13 thf(zip_derived_cl9, plain,
% 0.58/1.13 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause71])).
% 0.58/1.13 thf(co1_11, conjecture,
% 0.58/1.13 (~( ( memberP @ C @ ( sk5 @ C @ B @ A ) ) |
% 0.58/1.13 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 0.58/1.13 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.58/1.13 thf(zf_stmt_8, negated_conjecture,
% 0.58/1.13 (( memberP @ C @ ( sk5 @ C @ B @ A ) ) |
% 0.58/1.13 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 0.58/1.13 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.58/1.13 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.58/1.13 thf(zip_derived_cl73, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.13 ( (memberP @ X0 @ (sk5 @ X0 @ X1 @ X2))
% 0.58/1.13 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk1))
% 0.58/1.13 | ~ (ssList @ X0)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (ssItem @ X2))),
% 0.58/1.13 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.58/1.13 thf(zip_derived_cl2297, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (~ (ssItem @ (sk5 @ nil @ X1 @ X0))
% 0.58/1.13 | ~ (ssItem @ X0)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (ssList @ nil)
% 0.58/1.13 | ((app @ (app @ X1 @ (cons @ X0 @ nil)) @ nil) != (sk1)))),
% 0.58/1.13 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl73])).
% 0.58/1.13 thf(zip_derived_cl1, plain, ( (ssList @ nil)),
% 0.58/1.13 inference('cnf', [status(esa)], [clause8])).
% 0.58/1.13 thf(zip_derived_cl2302, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (~ (ssItem @ (sk5 @ nil @ X1 @ X0))
% 0.58/1.13 | ~ (ssItem @ X0)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ((app @ (app @ X1 @ (cons @ X0 @ nil)) @ nil) != (sk1)))),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl2297, zip_derived_cl1])).
% 0.58/1.13 thf(zip_derived_cl4179, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (~ (ssItem @ X0)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (ssList @ nil)
% 0.58/1.13 | ((app @ (app @ X1 @ (cons @ X0 @ nil)) @ nil) != (sk1))
% 0.58/1.13 | ((app @ (app @ X1 @ (cons @ X0 @ nil)) @ nil) != (sk1))
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (ssItem @ X0))),
% 0.58/1.13 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl2302])).
% 0.58/1.13 thf(zip_derived_cl1, plain, ( (ssList @ nil)),
% 0.58/1.13 inference('cnf', [status(esa)], [clause8])).
% 0.58/1.13 thf(zip_derived_cl4180, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (~ (ssItem @ X0)
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ((app @ (app @ X1 @ (cons @ X0 @ nil)) @ nil) != (sk1))
% 0.58/1.13 | ((app @ (app @ X1 @ (cons @ X0 @ nil)) @ nil) != (sk1))
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (ssItem @ X0))),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl4179, zip_derived_cl1])).
% 0.58/1.13 thf(zip_derived_cl4181, plain,
% 0.58/1.13 (![X0 : $i, X1 : $i]:
% 0.58/1.13 (((app @ (app @ X1 @ (cons @ X0 @ nil)) @ nil) != (sk1))
% 0.58/1.13 | ~ (ssList @ X1)
% 0.58/1.13 | ~ (ssItem @ X0))),
% 0.58/1.13 inference('simplify', [status(thm)], [zip_derived_cl4180])).
% 0.58/1.13 thf(zip_derived_cl4197, plain,
% 0.58/1.13 (![X0 : $i]:
% 0.58/1.13 (((app @ (app @ X0 @ sk1) @ nil) != (sk1))
% 0.58/1.13 | ~ (ssItem @ (skaf44 @ sk1))
% 0.58/1.13 | ~ (ssList @ X0))),
% 0.58/1.13 inference('sup-', [status(thm)], [zip_derived_cl1299, zip_derived_cl4181])).
% 0.58/1.13 thf(zip_derived_cl3, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 0.58/1.13 inference('cnf', [status(esa)], [clause47])).
% 0.58/1.13 thf(zip_derived_cl4212, plain,
% 0.58/1.13 (![X0 : $i]:
% 0.58/1.13 (((app @ (app @ X0 @ sk1) @ nil) != (sk1)) | ~ (ssList @ X0))),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl4197, zip_derived_cl3])).
% 0.58/1.13 thf(zip_derived_cl4218, plain,
% 0.58/1.13 ((((app @ sk1 @ nil) != (sk1)) | ~ (ssList @ sk1) | ~ (ssList @ nil))),
% 0.58/1.13 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl4212])).
% 0.58/1.13 thf(zip_derived_cl635, plain, ( (ssList @ sk1)),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/1.13 thf(zip_derived_cl1, plain, ( (ssList @ nil)),
% 0.58/1.13 inference('cnf', [status(esa)], [clause8])).
% 0.58/1.13 thf(zip_derived_cl4233, plain, (((app @ sk1 @ nil) != (sk1))),
% 0.58/1.13 inference('demod', [status(thm)],
% 0.58/1.13 [zip_derived_cl4218, zip_derived_cl635, zip_derived_cl1])).
% 0.58/1.13 thf(zip_derived_cl4241, plain, ((((sk1) != (sk1)) | ~ (ssList @ sk1))),
% 0.58/1.13 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl4233])).
% 0.58/1.13 thf(zip_derived_cl635, plain, ( (ssList @ sk1)),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/1.13 thf(zip_derived_cl4248, plain, (((sk1) != (sk1))),
% 0.58/1.13 inference('demod', [status(thm)], [zip_derived_cl4241, zip_derived_cl635])).
% 0.58/1.13 thf(zip_derived_cl4249, plain, ($false),
% 0.58/1.13 inference('simplify', [status(thm)], [zip_derived_cl4248])).
% 0.58/1.13
% 0.58/1.13 % SZS output end Refutation
% 0.58/1.13
% 0.58/1.13
% 0.58/1.13 % Terminating...
% 1.79/1.18 % Runner terminated.
% 1.79/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------