%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC174-1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.arGuQCqOEE true
% Computer : n002.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 Oct 2 04:58:51 PM UTC 2025
% Result : Unsatisfiable 10.40s 3.18s
% Output : Refutation 10.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.25 % Problem : SWC174-1 : TPTP v9.2.0. Released v2.4.0.
% 0.11/0.27 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.arGuQCqOEE true
% 0.13/0.51 % Computer : n002.cluster.edu
% 0.13/0.51 % Model : x86_64 x86_64
% 0.13/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.51 % Memory : 8042.1875MB
% 0.13/0.51 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.51 % CPULimit : 300
% 0.13/0.51 % WCLimit : 300
% 0.13/0.51 % DateTime : Wed Oct 1 17:13:53 EDT 2025
% 0.13/0.51 % CPUTime :
% 0.13/0.51 % Running portfolio for 300 s
% 0.13/0.51 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.52 % Number of cores: 8
% 0.13/0.52 % Python version: Python 3.6.8
% 0.13/0.52 % Running in FO mode
% 0.34/0.86 % Total configuration time : 435
% 0.34/0.86 % Estimated wc time : 1092
% 0.34/0.86 % Estimated cpu time (7 cpus) : 156.0
% 0.34/0.99 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.34/1.03 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.34/1.07 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.34/1.17 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.60/1.19 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.63/1.21 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.71/1.24 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 10.40/3.18 % Solved by fo/fo6_bce.sh.
% 10.40/3.18 % BCE start: 198
% 10.40/3.18 % BCE eliminated: 2
% 10.40/3.18 % PE start: 196
% 10.40/3.18 logic: eq
% 10.40/3.18 % PE eliminated: 6
% 10.40/3.18 % done 531 iterations in 2.108s
% 10.40/3.18 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.40/3.18 % SZS output start Refutation
% 10.40/3.18 thf(nil_type, type, nil: $i).
% 10.40/3.18 thf(cons_type, type, cons: $i > $i > $i).
% 10.40/3.18 thf(sk8_type, type, sk8: $i).
% 10.40/3.18 thf(sk6_type, type, sk6: $i).
% 10.40/3.18 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 10.40/3.18 thf(ssItem_type, type, ssItem: $i > $o).
% 10.40/3.18 thf(skaf44_type, type, skaf44: $i > $i).
% 10.40/3.18 thf(sk5_type, type, sk5: $i).
% 10.40/3.18 thf(sk3_type, type, sk3: $i).
% 10.40/3.18 thf(neq_type, type, neq: $i > $i > $o).
% 10.40/3.18 thf(app_type, type, app: $i > $i > $i).
% 10.40/3.18 thf(ssList_type, type, ssList: $i > $o).
% 10.40/3.18 thf(sk7_type, type, sk7: $i).
% 10.40/3.18 thf(sk1_type, type, sk1: $i).
% 10.40/3.18 thf(singletonP_type, type, singletonP: $i > $o).
% 10.40/3.18 thf(clause120, axiom,
% 10.40/3.18 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 10.40/3.18 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 10.40/3.18 thf(zip_derived_cl119, plain,
% 10.40/3.18 (![X0 : $i, X1 : $i]:
% 10.40/3.18 (~ (ssItem @ X0)
% 10.40/3.18 | ~ (ssList @ X1)
% 10.40/3.18 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 10.40/3.18 inference('cnf', [status(esa)], [clause120])).
% 10.40/3.18 thf(clause86, axiom,
% 10.40/3.18 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 10.40/3.18 thf(zip_derived_cl85, plain,
% 10.40/3.18 (![X0 : $i, X1 : $i]:
% 10.40/3.18 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 10.40/3.18 inference('cnf', [status(esa)], [clause86])).
% 10.40/3.18 thf(clause85, axiom,
% 10.40/3.18 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 10.40/3.18 thf(zip_derived_cl84, plain,
% 10.40/3.18 (![X0 : $i, X1 : $i]:
% 10.40/3.18 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 10.40/3.18 inference('cnf', [status(esa)], [clause85])).
% 10.40/3.18 thf(zip_derived_cl85, plain,
% 10.40/3.18 (![X0 : $i, X1 : $i]:
% 10.40/3.18 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 10.40/3.18 inference('cnf', [status(esa)], [clause86])).
% 10.40/3.18 thf(co1_12, conjecture,
% 10.40/3.18 (( app @
% 10.40/3.18 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ ( cons @ sk6 @ nil ) ) @
% 10.40/3.18 sk8 ) !=
% 10.40/3.18 ( sk1 ))).
% 10.40/3.18 thf(zf_stmt_0, negated_conjecture,
% 10.40/3.18 (( app @
% 10.40/3.18 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ ( cons @ sk6 @ nil ) ) @
% 10.40/3.18 sk8 ) =
% 10.40/3.18 ( sk1 )),
% 10.40/3.18 inference('cnf.neg', [status(esa)], [co1_12])).
% 10.40/3.18 thf(zip_derived_cl196, plain,
% 10.40/3.18 (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk6 @ nil)) @
% 10.40/3.18 sk8) = (sk1))),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.40/3.18 thf(clause102, axiom,
% 10.40/3.18 (( ~( ssItem @ U ) ) | ( ~( ssItem @ V ) ) | ( neq @ V @ U ) |
% 10.40/3.18 ( ( V ) = ( U ) ))).
% 10.40/3.18 thf(zip_derived_cl101, plain,
% 10.40/3.18 (![X0 : $i, X1 : $i]:
% 10.40/3.18 (~ (ssItem @ X0) | ~ (ssItem @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 10.40/3.18 inference('cnf', [status(esa)], [clause102])).
% 10.40/3.18 thf(co1_13, conjecture, (neq @ sk5 @ sk6)).
% 10.40/3.18 thf(zf_stmt_1, negated_conjecture, (~( neq @ sk5 @ sk6 )),
% 10.40/3.18 inference('cnf.neg', [status(esa)], [co1_13])).
% 10.40/3.18 thf(zip_derived_cl197, plain, (~ (neq @ sk5 @ sk6)),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.40/3.18 thf(zip_derived_cl1337, plain,
% 10.40/3.18 ((((sk5) = (sk6)) | ~ (ssItem @ sk5) | ~ (ssItem @ sk6))),
% 10.40/3.18 inference('dp-resolution', [status(thm)],
% 10.40/3.18 [zip_derived_cl101, zip_derived_cl197])).
% 10.40/3.18 thf(co1_8, conjecture, (~( ssItem @ sk5 ))).
% 10.40/3.18 thf(zf_stmt_2, negated_conjecture, (ssItem @ sk5),
% 10.40/3.18 inference('cnf.neg', [status(esa)], [co1_8])).
% 10.40/3.18 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.40/3.18 thf(co1_9, conjecture, (~( ssItem @ sk6 ))).
% 10.40/3.18 thf(zf_stmt_3, negated_conjecture, (ssItem @ sk6),
% 10.40/3.18 inference('cnf.neg', [status(esa)], [co1_9])).
% 10.40/3.18 thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.40/3.18 thf(zip_derived_cl1370, plain, (((sk5) = (sk6))),
% 10.40/3.18 inference('demod', [status(thm)],
% 10.40/3.18 [zip_derived_cl1337, zip_derived_cl192, zip_derived_cl193])).
% 10.40/3.18 thf(zip_derived_cl1372, plain,
% 10.40/3.18 (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk5 @ nil)) @
% 10.40/3.18 sk8) = (sk1))),
% 10.40/3.18 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl1370])).
% 10.40/3.18 thf(clause149, axiom,
% 10.40/3.18 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 10.40/3.18 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 10.40/3.18 thf(zip_derived_cl148, plain,
% 10.40/3.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.40/3.18 (~ (ssList @ X0)
% 10.40/3.18 | ~ (ssList @ X1)
% 10.40/3.18 | ~ (ssList @ X2)
% 10.40/3.18 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 10.40/3.18 inference('cnf', [status(esa)], [clause149])).
% 10.40/3.18 thf(zip_derived_cl2156, plain,
% 10.40/3.18 ((~ (ssList @ sk8)
% 10.40/3.18 | ~ (ssList @ (cons @ sk5 @ nil))
% 10.40/3.18 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 10.40/3.18 | ((sk1)
% 10.40/3.18 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 10.40/3.18 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 10.40/3.18 inference('s_sup+', [status(thm)],
% 10.40/3.18 [zip_derived_cl1372, zip_derived_cl148])).
% 10.40/3.18 thf(co1_11, conjecture, (~( ssList @ sk8 ))).
% 10.40/3.18 thf(zf_stmt_4, negated_conjecture, (ssList @ sk8),
% 10.40/3.18 inference('cnf.neg', [status(esa)], [co1_11])).
% 10.40/3.18 thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_4])).
% 10.40/3.18 thf(zip_derived_cl2167, plain,
% 10.40/3.18 ((~ (ssList @ (cons @ sk5 @ nil))
% 10.40/3.18 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 10.40/3.18 | ((sk1)
% 10.40/3.18 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 10.40/3.18 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 10.40/3.18 inference('demod', [status(thm)], [zip_derived_cl2156, zip_derived_cl195])).
% 10.40/3.18 thf(zip_derived_cl5755, plain,
% 10.40/3.18 ((~ (ssList @ nil)
% 10.40/3.18 | ~ (ssItem @ sk5)
% 10.40/3.18 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 10.40/3.18 | ((sk1)
% 10.40/3.18 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 10.40/3.18 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 10.40/3.18 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2167])).
% 10.40/3.18 thf(clause8, axiom, (ssList @ nil)).
% 10.40/3.18 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 10.40/3.18 inference('cnf', [status(esa)], [clause8])).
% 10.40/3.18 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.40/3.18 thf(zip_derived_cl5756, plain,
% 10.40/3.18 ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 10.40/3.18 | ((sk1)
% 10.40/3.18 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 10.40/3.18 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 10.40/3.18 inference('demod', [status(thm)],
% 10.40/3.18 [zip_derived_cl5755, zip_derived_cl7, zip_derived_cl192])).
% 10.40/3.18 thf(zip_derived_cl5771, plain,
% 10.40/3.18 ((~ (ssList @ sk7)
% 10.40/3.18 | ~ (ssList @ (cons @ sk5 @ nil))
% 10.40/3.18 | ((sk1)
% 10.40/3.18 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 10.40/3.18 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 10.40/3.18 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl5756])).
% 10.40/3.18 thf(co1_10, conjecture, (~( ssList @ sk7 ))).
% 10.40/3.18 thf(zf_stmt_5, negated_conjecture, (ssList @ sk7),
% 10.40/3.18 inference('cnf.neg', [status(esa)], [co1_10])).
% 10.40/3.18 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_5])).
% 10.40/3.18 thf(zip_derived_cl5773, plain,
% 10.40/3.18 ((~ (ssList @ (cons @ sk5 @ nil))
% 10.40/3.18 | ((sk1)
% 10.40/3.18 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 10.40/3.18 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 10.40/3.18 inference('demod', [status(thm)], [zip_derived_cl5771, zip_derived_cl194])).
% 10.40/3.18 thf(zip_derived_cl5775, plain,
% 10.40/3.18 ((~ (ssList @ nil)
% 10.40/3.18 | ~ (ssItem @ sk5)
% 10.40/3.18 | ((sk1)
% 10.40/3.18 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 10.40/3.18 (app @ (cons @ sk5 @ nil) @ sk8))))),
% 10.40/3.18 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl5773])).
% 10.40/3.18 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 10.40/3.18 inference('cnf', [status(esa)], [clause8])).
% 10.40/3.18 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.40/3.18 thf(zip_derived_cl5776, plain,
% 10.40/3.18 (((sk1)
% 10.40/3.18 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 10.40/3.18 (app @ (cons @ sk5 @ nil) @ sk8)))),
% 10.40/3.18 inference('demod', [status(thm)],
% 10.40/3.18 [zip_derived_cl5775, zip_derived_cl7, zip_derived_cl192])).
% 10.40/3.18 thf(zip_derived_cl5806, plain,
% 10.40/3.18 ((~ (ssList @ sk8)
% 10.40/3.18 | ~ (ssItem @ sk5)
% 10.40/3.18 | ((sk1)
% 10.40/3.18 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk5 @ sk8))))),
% 10.40/3.18 inference('s_sup+', [status(thm)],
% 10.40/3.18 [zip_derived_cl119, zip_derived_cl5776])).
% 10.40/3.18 thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_4])).
% 10.40/3.18 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.40/3.18 thf(zip_derived_cl5810, plain,
% 10.40/3.18 (((sk1) = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ (cons @ sk5 @ sk8)))),
% 10.40/3.18 inference('demod', [status(thm)],
% 10.40/3.18 [zip_derived_cl5806, zip_derived_cl195, zip_derived_cl192])).
% 10.40/3.18 thf(clause101, axiom,
% 10.40/3.18 (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) |
% 10.40/3.18 ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 10.40/3.18 thf(zip_derived_cl100, plain,
% 10.40/3.18 (![X0 : $i]:
% 10.40/3.18 (~ (singletonP @ X0)
% 10.40/3.18 | ~ (ssList @ X0)
% 10.40/3.18 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 10.40/3.18 inference('cnf', [status(esa)], [clause101])).
% 10.40/3.18 thf(clause65, axiom,
% 10.40/3.18 (( ~( ssItem @ U ) ) | ( duplicatefreeP @ ( cons @ U @ nil ) ))).
% 10.40/3.18 thf(zip_derived_cl64, plain,
% 10.40/3.18 (![X0 : $i]: (~ (ssItem @ X0) | (duplicatefreeP @ (cons @ X0 @ nil)))),
% 10.40/3.18 inference('cnf', [status(esa)], [clause65])).
% 10.40/3.18 thf(clause179, axiom,
% 10.40/3.18 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 10.40/3.18 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 10.40/3.18 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 10.40/3.18 thf(zip_derived_cl178, plain,
% 10.40/3.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.40/3.18 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 10.40/3.18 | ~ (ssList @ X4)
% 10.40/3.18 | ~ (ssList @ X3)
% 10.40/3.18 | ~ (ssList @ X1)
% 10.40/3.18 | ~ (ssItem @ X2)
% 10.40/3.18 | ~ (duplicatefreeP @ X0)
% 10.40/3.18 | ~ (ssList @ X0))),
% 10.40/3.18 inference('cnf', [status(esa)], [clause179])).
% 10.40/3.18 thf(zip_derived_cl1345, plain,
% 10.40/3.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.40/3.18 (~ (ssItem @ X0)
% 10.40/3.18 | ~ (ssList @ (cons @ X0 @ nil))
% 10.40/3.18 | ~ (ssItem @ X2)
% 10.40/3.18 | ~ (ssList @ X4)
% 10.40/3.18 | ~ (ssList @ X3)
% 10.40/3.18 | ~ (ssList @ X1)
% 10.40/3.18 | ((app @ (app @ X4 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X1))
% 10.40/3.18 != (cons @ X0 @ nil)))),
% 10.40/3.18 inference('dp-resolution', [status(thm)],
% 10.40/3.18 [zip_derived_cl64, zip_derived_cl178])).
% 10.40/3.18 thf(zip_derived_cl3511, plain,
% 10.40/3.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.40/3.18 (~ (ssList @ X0)
% 10.40/3.18 | ~ (singletonP @ X0)
% 10.40/3.18 | ~ (ssItem @ (skaf44 @ X0))
% 10.40/3.18 | ~ (ssList @ X0)
% 10.40/3.18 | ~ (ssItem @ X1)
% 10.40/3.18 | ~ (ssList @ X2)
% 10.40/3.18 | ~ (ssList @ X3)
% 10.40/3.18 | ~ (ssList @ X4)
% 10.40/3.18 | ((app @ (app @ X2 @ (cons @ X1 @ X3)) @ (cons @ X1 @ X4)) != (X0)))),
% 10.40/3.18 inference('s_sup-', [status(thm)],
% 10.40/3.18 [zip_derived_cl100, zip_derived_cl1345])).
% 10.40/3.18 thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 10.40/3.18 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 10.40/3.18 inference('cnf', [status(esa)], [clause47])).
% 10.40/3.18 thf(zip_derived_cl3518, plain,
% 10.40/3.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.40/3.18 (~ (ssList @ X0)
% 10.40/3.18 | ~ (singletonP @ X0)
% 10.40/3.18 | ~ (ssList @ X0)
% 10.40/3.18 | ~ (ssItem @ X1)
% 10.40/3.18 | ~ (ssList @ X2)
% 10.40/3.18 | ~ (ssList @ X3)
% 10.40/3.18 | ~ (ssList @ X4)
% 10.40/3.18 | ((app @ (app @ X2 @ (cons @ X1 @ X3)) @ (cons @ X1 @ X4)) != (X0)))),
% 10.40/3.18 inference('demod', [status(thm)], [zip_derived_cl3511, zip_derived_cl46])).
% 10.40/3.18 thf(zip_derived_cl3519, plain,
% 10.40/3.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.40/3.18 (((app @ (app @ X2 @ (cons @ X1 @ X3)) @ (cons @ X1 @ X4)) != (X0))
% 10.40/3.18 | ~ (ssList @ X4)
% 10.40/3.18 | ~ (ssList @ X3)
% 10.40/3.18 | ~ (ssList @ X2)
% 10.40/3.18 | ~ (ssItem @ X1)
% 10.40/3.18 | ~ (singletonP @ X0)
% 10.40/3.18 | ~ (ssList @ X0))),
% 10.40/3.18 inference('simplify', [status(thm)], [zip_derived_cl3518])).
% 10.40/3.18 thf(zip_derived_cl5895, plain,
% 10.40/3.18 (![X0 : $i]:
% 10.40/3.18 (((sk1) != (X0))
% 10.40/3.18 | ~ (ssList @ sk8)
% 10.40/3.18 | ~ (ssList @ nil)
% 10.40/3.18 | ~ (ssList @ sk7)
% 10.40/3.18 | ~ (ssItem @ sk5)
% 10.40/3.18 | ~ (singletonP @ X0)
% 10.40/3.18 | ~ (ssList @ X0))),
% 10.40/3.18 inference('s_sup-', [status(thm)],
% 10.40/3.18 [zip_derived_cl5810, zip_derived_cl3519])).
% 10.40/3.18 thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_4])).
% 10.40/3.18 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 10.40/3.18 inference('cnf', [status(esa)], [clause8])).
% 10.40/3.18 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_5])).
% 10.40/3.18 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.40/3.18 thf(zip_derived_cl5940, plain,
% 10.40/3.18 (![X0 : $i]: (((sk1) != (X0)) | ~ (singletonP @ X0) | ~ (ssList @ X0))),
% 10.40/3.18 inference('demod', [status(thm)],
% 10.40/3.18 [zip_derived_cl5895, zip_derived_cl195, zip_derived_cl7,
% 10.40/3.18 zip_derived_cl194, zip_derived_cl192])).
% 10.40/3.18 thf(zip_derived_cl5951, plain, ((~ (ssList @ sk1) | ~ (singletonP @ sk1))),
% 10.40/3.18 inference('eq_res', [status(thm)], [zip_derived_cl5940])).
% 10.40/3.18 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 10.40/3.18 thf(zf_stmt_6, negated_conjecture, (ssList @ sk1),
% 10.40/3.18 inference('cnf.neg', [status(esa)], [co1_1])).
% 10.40/3.18 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_6])).
% 10.40/3.18 thf(co1_7, conjecture, (~( singletonP @ sk3 ))).
% 10.40/3.18 thf(zf_stmt_7, negated_conjecture, (singletonP @ sk3),
% 10.40/3.18 inference('cnf.neg', [status(esa)], [co1_7])).
% 10.40/3.18 thf(zip_derived_cl191, plain, ( (singletonP @ sk3)),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_7])).
% 10.40/3.18 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 10.40/3.18 thf(zf_stmt_8, negated_conjecture, (( sk1 ) = ( sk3 )),
% 10.40/3.18 inference('cnf.neg', [status(esa)], [co1_6])).
% 10.40/3.18 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 10.40/3.18 inference('cnf', [status(esa)], [zf_stmt_8])).
% 10.40/3.18 thf(zip_derived_cl1369, plain, ( (singletonP @ sk1)),
% 10.40/3.18 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl190])).
% 10.40/3.18 thf(zip_derived_cl5952, plain, ($false),
% 10.40/3.18 inference('demod', [status(thm)],
% 10.40/3.18 [zip_derived_cl5951, zip_derived_cl185, zip_derived_cl1369])).
% 10.40/3.18
% 10.40/3.18 % SZS output end Refutation
% 10.40/3.18
% 10.40/3.18
% 10.40/3.18 % Terminating...
% 10.83/3.36 % Runner terminated.
% 10.83/3.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------