TSTP Solution File: SWC170-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC170-1 : 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.gHUSdlMTqu true
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:29:38 EDT 2023
% Result : Unsatisfiable 4.89s 1.31s
% Output : Refutation 4.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC170-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gHUSdlMTqu true
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 18:07:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.89/1.31 % Solved by fo/fo13.sh.
% 4.89/1.31 % done 597 iterations in 0.547s
% 4.89/1.31 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.89/1.31 % SZS output start Refutation
% 4.89/1.31 thf(nil_type, type, nil: $i).
% 4.89/1.31 thf(cons_type, type, cons: $i > $i > $i).
% 4.89/1.31 thf(sk2_type, type, sk2: $i).
% 4.89/1.31 thf(sk8_type, type, sk8: $i).
% 4.89/1.31 thf(sk6_type, type, sk6: $i).
% 4.89/1.31 thf(sk4_type, type, sk4: $i).
% 4.89/1.31 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 4.89/1.31 thf(ssItem_type, type, ssItem: $i > $o).
% 4.89/1.31 thf(skaf46_type, type, skaf46: $i > $i > $i).
% 4.89/1.31 thf(skaf44_type, type, skaf44: $i > $i).
% 4.89/1.31 thf(sk5_type, type, sk5: $i).
% 4.89/1.31 thf(rearsegP_type, type, rearsegP: $i > $i > $o).
% 4.89/1.31 thf(sk3_type, type, sk3: $i).
% 4.89/1.31 thf(neq_type, type, neq: $i > $i > $o).
% 4.89/1.31 thf(app_type, type, app: $i > $i > $i).
% 4.89/1.31 thf(ssList_type, type, ssList: $i > $o).
% 4.89/1.31 thf(sk7_type, type, sk7: $i).
% 4.89/1.31 thf(sk1_type, type, sk1: $i).
% 4.89/1.31 thf(singletonP_type, type, singletonP: $i > $o).
% 4.89/1.31 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 4.89/1.31 thf(clause86, axiom,
% 4.89/1.31 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 4.89/1.31 thf(zip_derived_cl85, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i]:
% 4.89/1.31 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause86])).
% 4.89/1.31 thf(clause85, axiom,
% 4.89/1.31 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 4.89/1.31 thf(zip_derived_cl84, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i]:
% 4.89/1.31 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause85])).
% 4.89/1.31 thf(clause120, axiom,
% 4.89/1.31 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 4.89/1.31 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 4.89/1.31 thf(zip_derived_cl119, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i]:
% 4.89/1.31 (~ (ssItem @ X0)
% 4.89/1.31 | ~ (ssList @ X1)
% 4.89/1.31 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause120])).
% 4.89/1.31 thf(zip_derived_cl85, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i]:
% 4.89/1.31 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause86])).
% 4.89/1.31 thf(co1_12, conjecture,
% 4.89/1.31 (( app @
% 4.89/1.31 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ ( cons @ sk6 @ nil ) ) @
% 4.89/1.31 sk8 ) !=
% 4.89/1.31 ( sk1 ))).
% 4.89/1.31 thf(zf_stmt_0, negated_conjecture,
% 4.89/1.31 (( app @
% 4.89/1.31 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ ( cons @ sk6 @ nil ) ) @
% 4.89/1.31 sk8 ) =
% 4.89/1.31 ( sk1 )),
% 4.89/1.31 inference('cnf.neg', [status(esa)], [co1_12])).
% 4.89/1.31 thf(zip_derived_cl196, plain,
% 4.89/1.31 (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)) @
% 4.89/1.31 sk8) = (sk1))),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.89/1.31 thf(clause102, axiom,
% 4.89/1.31 (( ~( ssItem @ U ) ) | ( ~( ssItem @ V ) ) | ( neq @ V @ U ) |
% 4.89/1.31 ( ( V ) = ( U ) ))).
% 4.89/1.31 thf(zip_derived_cl101, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i]:
% 4.89/1.31 (~ (ssItem @ X0) | ~ (ssItem @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause102])).
% 4.89/1.31 thf(co1_13, conjecture, (neq @ sk5 @ sk6)).
% 4.89/1.31 thf(zf_stmt_1, negated_conjecture, (~( neq @ sk5 @ sk6 )),
% 4.89/1.31 inference('cnf.neg', [status(esa)], [co1_13])).
% 4.89/1.31 thf(zip_derived_cl197, plain, (~ (neq @ sk5 @ sk6)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.89/1.31 thf(zip_derived_cl308, plain,
% 4.89/1.31 ((((sk5) = (sk6)) | ~ (ssItem @ sk5) | ~ (ssItem @ sk6))),
% 4.89/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl197])).
% 4.89/1.31 thf(co1_8, conjecture, (~( ssItem @ sk5 ))).
% 4.89/1.31 thf(zf_stmt_2, negated_conjecture, (ssItem @ sk5),
% 4.89/1.31 inference('cnf.neg', [status(esa)], [co1_8])).
% 4.89/1.31 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.89/1.31 thf(co1_9, conjecture, (~( ssItem @ sk6 ))).
% 4.89/1.31 thf(zf_stmt_3, negated_conjecture, (ssItem @ sk6),
% 4.89/1.31 inference('cnf.neg', [status(esa)], [co1_9])).
% 4.89/1.31 thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.89/1.31 thf(zip_derived_cl311, plain, (((sk5) = (sk6))),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl308, zip_derived_cl192, zip_derived_cl193])).
% 4.89/1.31 thf(zip_derived_cl313, plain,
% 4.89/1.31 (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk5 @ nil)) @
% 4.89/1.31 sk8) = (sk1))),
% 4.89/1.31 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl311])).
% 4.89/1.31 thf(clause149, axiom,
% 4.89/1.31 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 4.89/1.31 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 4.89/1.31 thf(zip_derived_cl148, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.89/1.31 (~ (ssList @ X0)
% 4.89/1.31 | ~ (ssList @ X1)
% 4.89/1.31 | ~ (ssList @ X2)
% 4.89/1.31 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause149])).
% 4.89/1.31 thf(zip_derived_cl1183, plain,
% 4.89/1.31 ((~ (ssList @ sk8)
% 4.89/1.31 | ~ (ssList @ (cons @ sk5 @ nil))
% 4.89/1.31 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 4.89/1.31 | ((sk1)
% 4.89/1.31 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 4.89/1.31 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 4.89/1.31 inference('s_sup+', [status(thm)], [zip_derived_cl313, zip_derived_cl148])).
% 4.89/1.31 thf(co1_11, conjecture, (~( ssList @ sk8 ))).
% 4.89/1.31 thf(zf_stmt_4, negated_conjecture, (ssList @ sk8),
% 4.89/1.31 inference('cnf.neg', [status(esa)], [co1_11])).
% 4.89/1.31 thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.89/1.31 thf(zip_derived_cl1191, plain,
% 4.89/1.31 ((~ (ssList @ (cons @ sk5 @ nil))
% 4.89/1.31 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 4.89/1.31 | ((sk1)
% 4.89/1.31 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 4.89/1.31 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 4.89/1.31 inference('demod', [status(thm)], [zip_derived_cl1183, zip_derived_cl195])).
% 4.89/1.31 thf(zip_derived_cl3189, plain,
% 4.89/1.31 ((~ (ssList @ nil)
% 4.89/1.31 | ~ (ssItem @ sk5)
% 4.89/1.31 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 4.89/1.31 | ((sk1)
% 4.89/1.31 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 4.89/1.31 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 4.89/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1191])).
% 4.89/1.31 thf(clause8, axiom, (ssList @ nil)).
% 4.89/1.31 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.89/1.31 inference('cnf', [status(esa)], [clause8])).
% 4.89/1.31 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.89/1.31 thf(zip_derived_cl3192, plain,
% 4.89/1.31 ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 4.89/1.31 | ((sk1)
% 4.89/1.31 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 4.89/1.31 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl3189, zip_derived_cl7, zip_derived_cl192])).
% 4.89/1.31 thf(zip_derived_cl3242, plain,
% 4.89/1.31 ((~ (ssList @ sk8)
% 4.89/1.31 | ~ (ssItem @ sk5)
% 4.89/1.31 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 4.89/1.31 | ((sk1)
% 4.89/1.31 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk5 @ sk8))))),
% 4.89/1.31 inference('s_sup+', [status(thm)],
% 4.89/1.31 [zip_derived_cl119, zip_derived_cl3192])).
% 4.89/1.31 thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.89/1.31 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.89/1.31 thf(zip_derived_cl3244, plain,
% 4.89/1.31 ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 4.89/1.31 | ((sk1)
% 4.89/1.31 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk5 @ sk8))))),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl3242, zip_derived_cl195, zip_derived_cl192])).
% 4.89/1.31 thf(clause179, axiom,
% 4.89/1.31 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 4.89/1.31 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 4.89/1.31 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 4.89/1.31 thf(zip_derived_cl178, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.89/1.31 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 4.89/1.31 | ~ (ssList @ X4)
% 4.89/1.31 | ~ (ssList @ X3)
% 4.89/1.31 | ~ (ssList @ X1)
% 4.89/1.31 | ~ (ssItem @ X2)
% 4.89/1.31 | ~ (duplicatefreeP @ X0)
% 4.89/1.31 | ~ (ssList @ X0))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause179])).
% 4.89/1.31 thf(zip_derived_cl3299, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 4.89/1.31 | ((sk1) != (X0))
% 4.89/1.31 | ~ (ssList @ sk8)
% 4.89/1.31 | ~ (ssList @ nil)
% 4.89/1.31 | ~ (ssList @ sk7)
% 4.89/1.31 | ~ (ssItem @ sk5)
% 4.89/1.31 | ~ (duplicatefreeP @ X0)
% 4.89/1.31 | ~ (ssList @ X0))),
% 4.89/1.31 inference('s_sup-', [status(thm)],
% 4.89/1.31 [zip_derived_cl3244, zip_derived_cl178])).
% 4.89/1.31 thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.89/1.31 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.89/1.31 inference('cnf', [status(esa)], [clause8])).
% 4.89/1.31 thf(co1_10, conjecture, (~( ssList @ sk7 ))).
% 4.89/1.31 thf(zf_stmt_5, negated_conjecture, (ssList @ sk7),
% 4.89/1.31 inference('cnf.neg', [status(esa)], [co1_10])).
% 4.89/1.31 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.89/1.31 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.89/1.31 thf(zip_derived_cl3343, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 4.89/1.31 | ((sk1) != (X0))
% 4.89/1.31 | ~ (duplicatefreeP @ X0)
% 4.89/1.31 | ~ (ssList @ X0))),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl3299, zip_derived_cl195, zip_derived_cl7,
% 4.89/1.31 zip_derived_cl194, zip_derived_cl192])).
% 4.89/1.31 thf(zip_derived_cl3356, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (ssList @ sk7)
% 4.89/1.31 | ~ (ssList @ (cons @ sk5 @ nil))
% 4.89/1.31 | ((sk1) != (X0))
% 4.89/1.31 | ~ (duplicatefreeP @ X0)
% 4.89/1.31 | ~ (ssList @ X0))),
% 4.89/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3343])).
% 4.89/1.31 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.89/1.31 thf(zip_derived_cl3357, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (ssList @ (cons @ sk5 @ nil))
% 4.89/1.31 | ((sk1) != (X0))
% 4.89/1.31 | ~ (duplicatefreeP @ X0)
% 4.89/1.31 | ~ (ssList @ X0))),
% 4.89/1.31 inference('demod', [status(thm)], [zip_derived_cl3356, zip_derived_cl194])).
% 4.89/1.31 thf(zip_derived_cl3358, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (ssList @ nil)
% 4.89/1.31 | ~ (ssItem @ sk5)
% 4.89/1.31 | ((sk1) != (X0))
% 4.89/1.31 | ~ (duplicatefreeP @ X0)
% 4.89/1.31 | ~ (ssList @ X0))),
% 4.89/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3357])).
% 4.89/1.31 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.89/1.31 inference('cnf', [status(esa)], [clause8])).
% 4.89/1.31 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.89/1.31 thf(zip_derived_cl3359, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (((sk1) != (X0)) | ~ (duplicatefreeP @ X0) | ~ (ssList @ X0))),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl3358, zip_derived_cl7, zip_derived_cl192])).
% 4.89/1.31 thf(zip_derived_cl3360, plain,
% 4.89/1.31 ((~ (ssList @ sk1) | ~ (duplicatefreeP @ sk1))),
% 4.89/1.31 inference('eq_res', [status(thm)], [zip_derived_cl3359])).
% 4.89/1.31 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 4.89/1.31 thf(zf_stmt_6, negated_conjecture, (ssList @ sk1),
% 4.89/1.31 inference('cnf.neg', [status(esa)], [co1_1])).
% 4.89/1.31 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.89/1.31 thf(zip_derived_cl3361, plain, (~ (duplicatefreeP @ sk1)),
% 4.89/1.31 inference('demod', [status(thm)], [zip_derived_cl3360, zip_derived_cl185])).
% 4.89/1.31 thf(co1_7, conjecture, (~( segmentP @ sk4 @ sk3 ))).
% 4.89/1.31 thf(zf_stmt_7, negated_conjecture, (segmentP @ sk4 @ sk3),
% 4.89/1.31 inference('cnf.neg', [status(esa)], [co1_7])).
% 4.89/1.31 thf(zip_derived_cl191, plain, ( (segmentP @ sk4 @ sk3)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.89/1.31 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 4.89/1.31 thf(zf_stmt_8, negated_conjecture, (( sk2 ) = ( sk4 )),
% 4.89/1.31 inference('cnf.neg', [status(esa)], [co1_5])).
% 4.89/1.31 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_8])).
% 4.89/1.31 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 4.89/1.31 thf(zf_stmt_9, negated_conjecture, (( sk1 ) = ( sk3 )),
% 4.89/1.31 inference('cnf.neg', [status(esa)], [co1_6])).
% 4.89/1.31 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_9])).
% 4.89/1.31 thf(zip_derived_cl201, plain, ( (segmentP @ sk2 @ sk1)),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 4.89/1.31 thf(clause127, axiom,
% 4.89/1.31 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ U ) ) |
% 4.89/1.31 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( V ) = ( U ) ))).
% 4.89/1.31 thf(zip_derived_cl126, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i]:
% 4.89/1.31 (~ (segmentP @ X0 @ X1)
% 4.89/1.31 | ~ (segmentP @ X1 @ X0)
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | ~ (ssList @ X1)
% 4.89/1.31 | ((X1) = (X0)))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause127])).
% 4.89/1.31 thf(zip_derived_cl448, plain,
% 4.89/1.31 ((~ (segmentP @ sk1 @ sk2)
% 4.89/1.31 | ~ (ssList @ sk2)
% 4.89/1.31 | ~ (ssList @ sk1)
% 4.89/1.31 | ((sk1) = (sk2)))),
% 4.89/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl126])).
% 4.89/1.31 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 4.89/1.31 thf(zf_stmt_10, negated_conjecture, (ssList @ sk2),
% 4.89/1.31 inference('cnf.neg', [status(esa)], [co1_2])).
% 4.89/1.31 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_10])).
% 4.89/1.31 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.89/1.31 thf(zip_derived_cl453, plain, ((~ (segmentP @ sk1 @ sk2) | ((sk1) = (sk2)))),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl448, zip_derived_cl186, zip_derived_cl185])).
% 4.89/1.31 thf(clause100, axiom,
% 4.89/1.31 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 4.89/1.31 ( ( V ) = ( U ) ))).
% 4.89/1.31 thf(zip_derived_cl99, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i]:
% 4.89/1.31 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause100])).
% 4.89/1.31 thf(co1_14, conjecture,
% 4.89/1.31 (~( ( ~( neq @ sk4 @ nil ) ) | ( singletonP @ sk3 ) ))).
% 4.89/1.31 thf(zf_stmt_11, negated_conjecture,
% 4.89/1.31 (( ~( neq @ sk4 @ nil ) ) | ( singletonP @ sk3 )),
% 4.89/1.31 inference('cnf.neg', [status(esa)], [co1_14])).
% 4.89/1.31 thf(zip_derived_cl198, plain, ((~ (neq @ sk4 @ nil) | (singletonP @ sk3))),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_11])).
% 4.89/1.31 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_8])).
% 4.89/1.31 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_9])).
% 4.89/1.31 thf(zip_derived_cl202, plain, ((~ (neq @ sk2 @ nil) | (singletonP @ sk1))),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl198, zip_derived_cl189, zip_derived_cl190])).
% 4.89/1.31 thf(zip_derived_cl281, plain,
% 4.89/1.31 ((((sk2) = (nil))
% 4.89/1.31 | ~ (ssList @ sk2)
% 4.89/1.31 | ~ (ssList @ nil)
% 4.89/1.31 | (singletonP @ sk1))),
% 4.89/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl202])).
% 4.89/1.31 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_10])).
% 4.89/1.31 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.89/1.31 inference('cnf', [status(esa)], [clause8])).
% 4.89/1.31 thf(zip_derived_cl286, plain, ((((sk2) = (nil)) | (singletonP @ sk1))),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl281, zip_derived_cl186, zip_derived_cl7])).
% 4.89/1.31 thf(clause101, axiom,
% 4.89/1.31 (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) |
% 4.89/1.31 ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 4.89/1.31 thf(zip_derived_cl100, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (singletonP @ X0)
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause101])).
% 4.89/1.31 thf(clause65, axiom,
% 4.89/1.31 (( ~( ssItem @ U ) ) | ( duplicatefreeP @ ( cons @ U @ nil ) ))).
% 4.89/1.31 thf(zip_derived_cl64, plain,
% 4.89/1.31 (![X0 : $i]: (~ (ssItem @ X0) | (duplicatefreeP @ (cons @ X0 @ nil)))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause65])).
% 4.89/1.31 thf(zip_derived_cl259, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (ssList @ X0)
% 4.89/1.31 | ~ (singletonP @ X0)
% 4.89/1.31 | ~ (ssItem @ (skaf44 @ X0))
% 4.89/1.31 | (duplicatefreeP @ X0))),
% 4.89/1.31 inference('s_sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl64])).
% 4.89/1.31 thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 4.89/1.31 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause47])).
% 4.89/1.31 thf(zip_derived_cl269, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (ssList @ X0) | ~ (singletonP @ X0) | (duplicatefreeP @ X0))),
% 4.89/1.31 inference('demod', [status(thm)], [zip_derived_cl259, zip_derived_cl46])).
% 4.89/1.31 thf(zip_derived_cl291, plain,
% 4.89/1.31 ((((sk2) = (nil)) | ~ (ssList @ sk1) | (duplicatefreeP @ sk1))),
% 4.89/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl286, zip_derived_cl269])).
% 4.89/1.31 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.89/1.31 thf(zip_derived_cl292, plain, ((((sk2) = (nil)) | (duplicatefreeP @ sk1))),
% 4.89/1.31 inference('demod', [status(thm)], [zip_derived_cl291, zip_derived_cl185])).
% 4.89/1.31 thf(zip_derived_cl3361, plain, (~ (duplicatefreeP @ sk1)),
% 4.89/1.31 inference('demod', [status(thm)], [zip_derived_cl3360, zip_derived_cl185])).
% 4.89/1.31 thf(zip_derived_cl3364, plain, (((sk2) = (nil))),
% 4.89/1.31 inference('s_sup-', [status(thm)],
% 4.89/1.31 [zip_derived_cl292, zip_derived_cl3361])).
% 4.89/1.31 thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 4.89/1.31 thf(zip_derived_cl55, plain,
% 4.89/1.31 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ nil))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause56])).
% 4.89/1.31 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 4.89/1.31 thf(zip_derived_cl72, plain,
% 4.89/1.31 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause73])).
% 4.89/1.31 thf(zip_derived_cl85, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i]:
% 4.89/1.31 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause86])).
% 4.89/1.31 thf(zip_derived_cl84, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i]:
% 4.89/1.31 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause85])).
% 4.89/1.31 thf(zip_derived_cl85, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i]:
% 4.89/1.31 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause86])).
% 4.89/1.31 thf(zip_derived_cl84, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i]:
% 4.89/1.31 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause85])).
% 4.89/1.31 thf(zip_derived_cl313, plain,
% 4.89/1.31 (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk5 @ nil)) @
% 4.89/1.31 sk8) = (sk1))),
% 4.89/1.31 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl311])).
% 4.89/1.31 thf(clause143, axiom,
% 4.89/1.31 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ U ) ) |
% 4.89/1.31 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( rearsegP @ W @ V ))).
% 4.89/1.31 thf(zip_derived_cl142, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.89/1.31 (((app @ X1 @ X2) != (X0))
% 4.89/1.31 | ~ (ssList @ X1)
% 4.89/1.31 | ~ (ssList @ X2)
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | (rearsegP @ X0 @ X2))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause143])).
% 4.89/1.31 thf(zip_derived_cl520, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (((sk1) != (X0))
% 4.89/1.31 | ~ (ssList @
% 4.89/1.31 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk5 @ nil)))
% 4.89/1.31 | ~ (ssList @ sk8)
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | (rearsegP @ X0 @ sk8))),
% 4.89/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl313, zip_derived_cl142])).
% 4.89/1.31 thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.89/1.31 thf(zip_derived_cl527, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (((sk1) != (X0))
% 4.89/1.31 | ~ (ssList @
% 4.89/1.31 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk5 @ nil)))
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | (rearsegP @ X0 @ sk8))),
% 4.89/1.31 inference('demod', [status(thm)], [zip_derived_cl520, zip_derived_cl195])).
% 4.89/1.31 thf(zip_derived_cl1321, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 4.89/1.31 | ~ (ssList @ (cons @ sk5 @ nil))
% 4.89/1.31 | ((sk1) != (X0))
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | (rearsegP @ X0 @ sk8))),
% 4.89/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl527])).
% 4.89/1.31 thf(zip_derived_cl1421, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (ssList @ nil)
% 4.89/1.31 | ~ (ssItem @ sk5)
% 4.89/1.31 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 4.89/1.31 | ((sk1) != (X0))
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | (rearsegP @ X0 @ sk8))),
% 4.89/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1321])).
% 4.89/1.31 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.89/1.31 inference('cnf', [status(esa)], [clause8])).
% 4.89/1.31 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.89/1.31 thf(zip_derived_cl1422, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 4.89/1.31 | ((sk1) != (X0))
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | (rearsegP @ X0 @ sk8))),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl1421, zip_derived_cl7, zip_derived_cl192])).
% 4.89/1.31 thf(zip_derived_cl1423, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (ssList @ sk7)
% 4.89/1.31 | ~ (ssList @ (cons @ sk5 @ nil))
% 4.89/1.31 | ((sk1) != (X0))
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | (rearsegP @ X0 @ sk8))),
% 4.89/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl1422])).
% 4.89/1.31 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.89/1.31 thf(zip_derived_cl1424, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (ssList @ (cons @ sk5 @ nil))
% 4.89/1.31 | ((sk1) != (X0))
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | (rearsegP @ X0 @ sk8))),
% 4.89/1.31 inference('demod', [status(thm)], [zip_derived_cl1423, zip_derived_cl194])).
% 4.89/1.31 thf(zip_derived_cl1425, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (ssList @ nil)
% 4.89/1.31 | ~ (ssItem @ sk5)
% 4.89/1.31 | ((sk1) != (X0))
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | (rearsegP @ X0 @ sk8))),
% 4.89/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1424])).
% 4.89/1.31 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.89/1.31 inference('cnf', [status(esa)], [clause8])).
% 4.89/1.31 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.89/1.31 thf(zip_derived_cl1426, plain,
% 4.89/1.31 (![X0 : $i]: (((sk1) != (X0)) | ~ (ssList @ X0) | (rearsegP @ X0 @ sk8))),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl1425, zip_derived_cl7, zip_derived_cl192])).
% 4.89/1.31 thf(zip_derived_cl1427, plain,
% 4.89/1.31 (( (rearsegP @ sk1 @ sk8) | ~ (ssList @ sk1))),
% 4.89/1.31 inference('eq_res', [status(thm)], [zip_derived_cl1426])).
% 4.89/1.31 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.89/1.31 thf(zip_derived_cl1428, plain, ( (rearsegP @ sk1 @ sk8)),
% 4.89/1.31 inference('demod', [status(thm)], [zip_derived_cl1427, zip_derived_cl185])).
% 4.89/1.31 thf(clause131, axiom,
% 4.89/1.31 (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 4.89/1.31 ( ( app @ ( skaf46 @ U @ V ) @ V ) = ( U ) ))).
% 4.89/1.31 thf(zip_derived_cl130, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i]:
% 4.89/1.31 (~ (rearsegP @ X0 @ X1)
% 4.89/1.31 | ~ (ssList @ X1)
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause131])).
% 4.89/1.31 thf(zip_derived_cl1430, plain,
% 4.89/1.31 ((~ (ssList @ sk8)
% 4.89/1.31 | ~ (ssList @ sk1)
% 4.89/1.31 | ((app @ (skaf46 @ sk1 @ sk8) @ sk8) = (sk1)))),
% 4.89/1.31 inference('s_sup-', [status(thm)],
% 4.89/1.31 [zip_derived_cl1428, zip_derived_cl130])).
% 4.89/1.31 thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.89/1.31 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.89/1.31 thf(zip_derived_cl1434, plain,
% 4.89/1.31 (((app @ (skaf46 @ sk1 @ sk8) @ sk8) = (sk1))),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl1430, zip_derived_cl195, zip_derived_cl185])).
% 4.89/1.31 thf(clause173, axiom,
% 4.89/1.31 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 4.89/1.31 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 4.89/1.31 ( segmentP @ X @ V ))).
% 4.89/1.31 thf(zip_derived_cl172, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.89/1.31 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 4.89/1.31 | ~ (ssList @ X3)
% 4.89/1.31 | ~ (ssList @ X1)
% 4.89/1.31 | ~ (ssList @ X2)
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | (segmentP @ X0 @ X2))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause173])).
% 4.89/1.31 thf(zip_derived_cl1453, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i]:
% 4.89/1.31 (((app @ sk1 @ X1) != (X0))
% 4.89/1.31 | ~ (ssList @ X1)
% 4.89/1.31 | ~ (ssList @ (skaf46 @ sk1 @ sk8))
% 4.89/1.31 | ~ (ssList @ sk8)
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | (segmentP @ X0 @ sk8))),
% 4.89/1.31 inference('s_sup-', [status(thm)],
% 4.89/1.31 [zip_derived_cl1434, zip_derived_cl172])).
% 4.89/1.31 thf(clause50, axiom, (ssList @ ( skaf46 @ U @ V ))).
% 4.89/1.31 thf(zip_derived_cl49, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause50])).
% 4.89/1.31 thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.89/1.31 thf(zip_derived_cl1472, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i]:
% 4.89/1.31 (((app @ sk1 @ X1) != (X0))
% 4.89/1.31 | ~ (ssList @ X1)
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | (segmentP @ X0 @ sk8))),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl1453, zip_derived_cl49, zip_derived_cl195])).
% 4.89/1.31 thf(zip_derived_cl3108, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (ssList @ sk1)
% 4.89/1.31 | ((sk1) != (X0))
% 4.89/1.31 | ~ (ssList @ nil)
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | (segmentP @ X0 @ sk8))),
% 4.89/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl1472])).
% 4.89/1.31 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.89/1.31 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.89/1.31 inference('cnf', [status(esa)], [clause8])).
% 4.89/1.31 thf(zip_derived_cl3111, plain,
% 4.89/1.31 (![X0 : $i]: (((sk1) != (X0)) | ~ (ssList @ X0) | (segmentP @ X0 @ sk8))),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl3108, zip_derived_cl185, zip_derived_cl7])).
% 4.89/1.31 thf(zip_derived_cl3113, plain,
% 4.89/1.31 (( (segmentP @ sk1 @ sk8) | ~ (ssList @ sk1))),
% 4.89/1.31 inference('eq_res', [status(thm)], [zip_derived_cl3111])).
% 4.89/1.31 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.89/1.31 thf(zip_derived_cl3114, plain, ( (segmentP @ sk1 @ sk8)),
% 4.89/1.31 inference('demod', [status(thm)], [zip_derived_cl3113, zip_derived_cl185])).
% 4.89/1.31 thf(clause152, axiom,
% 4.89/1.31 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ W ) ) |
% 4.89/1.31 ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 4.89/1.31 ( segmentP @ U @ W ))).
% 4.89/1.31 thf(zip_derived_cl151, plain,
% 4.89/1.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.89/1.31 (~ (segmentP @ X0 @ X1)
% 4.89/1.31 | ~ (segmentP @ X1 @ X2)
% 4.89/1.31 | ~ (ssList @ X2)
% 4.89/1.31 | ~ (ssList @ X1)
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | (segmentP @ X0 @ X2))),
% 4.89/1.31 inference('cnf', [status(esa)], [clause152])).
% 4.89/1.31 thf(zip_derived_cl3116, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (segmentP @ sk8 @ X0)
% 4.89/1.31 | ~ (ssList @ X0)
% 4.89/1.31 | ~ (ssList @ sk8)
% 4.89/1.31 | ~ (ssList @ sk1)
% 4.89/1.31 | (segmentP @ sk1 @ X0))),
% 4.89/1.31 inference('s_sup-', [status(thm)],
% 4.89/1.31 [zip_derived_cl3114, zip_derived_cl151])).
% 4.89/1.31 thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.89/1.31 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.89/1.31 thf(zip_derived_cl3121, plain,
% 4.89/1.31 (![X0 : $i]:
% 4.89/1.31 (~ (segmentP @ sk8 @ X0) | ~ (ssList @ X0) | (segmentP @ sk1 @ X0))),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl3116, zip_derived_cl195, zip_derived_cl185])).
% 4.89/1.31 thf(zip_derived_cl3140, plain,
% 4.89/1.31 ((~ (ssList @ sk8) | ~ (ssList @ nil) | (segmentP @ sk1 @ nil))),
% 4.89/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl3121])).
% 4.89/1.31 thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 4.89/1.31 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.89/1.31 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.89/1.31 inference('cnf', [status(esa)], [clause8])).
% 4.89/1.31 thf(zip_derived_cl3142, plain, ( (segmentP @ sk1 @ nil)),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl3140, zip_derived_cl195, zip_derived_cl7])).
% 4.89/1.31 thf(zip_derived_cl3364, plain, (((sk2) = (nil))),
% 4.89/1.31 inference('s_sup-', [status(thm)],
% 4.89/1.31 [zip_derived_cl292, zip_derived_cl3361])).
% 4.89/1.31 thf(zip_derived_cl3375, plain, (((sk1) = (nil))),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl453, zip_derived_cl3364, zip_derived_cl3142,
% 4.89/1.31 zip_derived_cl3364])).
% 4.89/1.31 thf(clause2, axiom, (duplicatefreeP @ nil)).
% 4.89/1.31 thf(zip_derived_cl1, plain, ( (duplicatefreeP @ nil)),
% 4.89/1.31 inference('cnf', [status(esa)], [clause2])).
% 4.89/1.31 thf(zip_derived_cl3495, plain, ($false),
% 4.89/1.31 inference('demod', [status(thm)],
% 4.89/1.31 [zip_derived_cl3361, zip_derived_cl3375, zip_derived_cl1])).
% 4.89/1.31
% 4.89/1.31 % SZS output end Refutation
% 4.89/1.31
% 4.89/1.31
% 4.89/1.31 % Terminating...
% 5.33/1.34 % Runner terminated.
% 5.33/1.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------