%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC234-1 : 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.zvxgFO2Hax true
% Computer : n006.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 04:59:04 PM UTC 2025
% Result : Unsatisfiable 3.97s 1.14s
% Output : Refutation 3.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC234-1 : TPTP v9.2.0. Released v2.4.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zvxgFO2Hax true
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 17:11:10 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.52/0.63 % Total configuration time : 435
% 0.52/0.63 % Estimated wc time : 1092
% 0.52/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 3.97/1.14 % Solved by fo/fo6_bce.sh.
% 3.97/1.14 % BCE start: 202
% 3.97/1.14 % BCE eliminated: 4
% 3.97/1.14 % PE start: 198
% 3.97/1.14 logic: eq
% 3.97/1.14 % PE eliminated: 6
% 3.97/1.14 % done 333 iterations in 0.441s
% 3.97/1.14 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.97/1.14 % SZS output start Refutation
% 3.97/1.14 thf(nil_type, type, nil: $i).
% 3.97/1.14 thf(sk5_type, type, sk5: $i > $i > $i > $i).
% 3.97/1.14 thf(cons_type, type, cons: $i > $i > $i).
% 3.97/1.14 thf(memberP_type, type, memberP: $i > $i > $o).
% 3.97/1.14 thf(ssItem_type, type, ssItem: $i > $o).
% 3.97/1.14 thf(skaf82_type, type, skaf82: $i > $i).
% 3.97/1.14 thf(skaf83_type, type, skaf83: $i > $i).
% 3.97/1.14 thf(app_type, type, app: $i > $i > $i).
% 3.97/1.14 thf(ssList_type, type, ssList: $i > $o).
% 3.97/1.14 thf(sk1_type, type, sk1: $i).
% 3.97/1.14 thf(clause109, axiom,
% 3.97/1.14 (( ~( ssList @ U ) ) |
% 3.97/1.14 ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) |
% 3.97/1.14 ( ( nil ) = ( U ) ))).
% 3.97/1.14 thf(zip_derived_cl108, plain,
% 3.97/1.14 (![X0 : $i]:
% 3.97/1.14 (~ (ssList @ X0)
% 3.97/1.14 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 3.97/1.14 | ((nil) = (X0)))),
% 3.97/1.14 inference('cnf', [status(esa)], [clause109])).
% 3.97/1.14 thf(clause120, axiom,
% 3.97/1.14 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 3.97/1.14 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 3.97/1.14 thf(zip_derived_cl119, plain,
% 3.97/1.14 (![X0 : $i, X1 : $i]:
% 3.97/1.14 (~ (ssItem @ X0)
% 3.97/1.14 | ~ (ssList @ X1)
% 3.97/1.14 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 3.97/1.14 inference('cnf', [status(esa)], [clause120])).
% 3.97/1.14 thf(clause86, axiom,
% 3.97/1.14 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 3.97/1.14 thf(zip_derived_cl85, plain,
% 3.97/1.14 (![X0 : $i, X1 : $i]:
% 3.97/1.14 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 3.97/1.14 inference('cnf', [status(esa)], [clause86])).
% 3.97/1.14 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 3.97/1.14 thf(zip_derived_cl73, plain,
% 3.97/1.14 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 3.97/1.14 inference('cnf', [status(esa)], [clause74])).
% 3.97/1.14 thf(co1_8, conjecture,
% 3.97/1.14 (~( ( ssItem @ ( sk5 @ C @ B @ A ) ) |
% 3.97/1.14 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 3.97/1.14 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 3.97/1.14 thf(zf_stmt_0, negated_conjecture,
% 3.97/1.14 (( ssItem @ ( sk5 @ C @ B @ A ) ) |
% 3.97/1.14 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 3.97/1.14 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 3.97/1.14 inference('cnf.neg', [status(esa)], [co1_8])).
% 3.97/1.14 thf(zip_derived_cl192, plain,
% 3.97/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.97/1.14 ( (ssItem @ (sk5 @ X0 @ X1 @ X2))
% 3.97/1.14 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk1))
% 3.97/1.14 | ~ (ssList @ X0)
% 3.97/1.14 | ~ (ssList @ X1)
% 3.97/1.14 | ~ (ssItem @ X2))),
% 3.97/1.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.97/1.14 thf(co1_9, conjecture,
% 3.97/1.14 (~( ( memberP @ B @ ( sk5 @ C @ B @ A ) ) |
% 3.97/1.14 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 3.97/1.14 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 3.97/1.14 thf(zf_stmt_1, negated_conjecture,
% 3.97/1.14 (( memberP @ B @ ( sk5 @ C @ B @ A ) ) |
% 3.97/1.14 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) |
% 3.97/1.14 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 3.97/1.14 inference('cnf.neg', [status(esa)], [co1_9])).
% 3.97/1.14 thf(zip_derived_cl193, plain,
% 3.97/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.97/1.14 ( (memberP @ X0 @ (sk5 @ X1 @ X0 @ X2))
% 3.97/1.14 | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X1) != (sk1))
% 3.97/1.14 | ~ (ssList @ X1)
% 3.97/1.14 | ~ (ssList @ X0)
% 3.97/1.14 | ~ (ssItem @ X2))),
% 3.97/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.97/1.14 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 3.97/1.14 thf(zip_derived_cl70, plain,
% 3.97/1.14 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 3.97/1.14 inference('cnf', [status(esa)], [clause71])).
% 3.97/1.14 thf(zip_derived_cl2710, plain,
% 3.97/1.14 (![X0 : $i, X1 : $i]:
% 3.97/1.14 (~ (ssItem @ X0)
% 3.97/1.14 | ~ (ssList @ nil)
% 3.97/1.14 | ~ (ssList @ X1)
% 3.97/1.14 | ((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1))
% 3.97/1.14 | ~ (ssItem @ (sk5 @ X1 @ nil @ X0)))),
% 3.97/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl70])).
% 3.97/1.14 thf(clause8, axiom, (ssList @ nil)).
% 3.97/1.14 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 3.97/1.14 inference('cnf', [status(esa)], [clause8])).
% 3.97/1.14 thf(zip_derived_cl2713, plain,
% 3.97/1.14 (![X0 : $i, X1 : $i]:
% 3.97/1.14 (~ (ssItem @ X0)
% 3.97/1.14 | ~ (ssList @ X1)
% 3.97/1.14 | ((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1))
% 3.97/1.14 | ~ (ssItem @ (sk5 @ X1 @ nil @ X0)))),
% 3.97/1.14 inference('demod', [status(thm)], [zip_derived_cl2710, zip_derived_cl7])).
% 3.97/1.14 thf(zip_derived_cl2785, plain,
% 3.97/1.14 (![X0 : $i, X1 : $i]:
% 3.97/1.14 (~ (ssItem @ X0)
% 3.97/1.14 | ~ (ssList @ nil)
% 3.97/1.14 | ~ (ssList @ X1)
% 3.97/1.14 | ((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1))
% 3.97/1.14 | ~ (ssItem @ X0)
% 3.97/1.14 | ~ (ssList @ X1)
% 3.97/1.14 | ((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1)))),
% 3.97/1.14 inference('s_sup-', [status(thm)],
% 3.97/1.14 [zip_derived_cl192, zip_derived_cl2713])).
% 3.97/1.14 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 3.97/1.14 inference('cnf', [status(esa)], [clause8])).
% 3.97/1.14 thf(zip_derived_cl2786, plain,
% 3.97/1.14 (![X0 : $i, X1 : $i]:
% 3.97/1.14 (~ (ssItem @ X0)
% 3.97/1.14 | ~ (ssList @ X1)
% 3.97/1.14 | ((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1))
% 3.97/1.14 | ~ (ssItem @ X0)
% 3.97/1.14 | ~ (ssList @ X1)
% 3.97/1.14 | ((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1)))),
% 3.97/1.14 inference('demod', [status(thm)], [zip_derived_cl2785, zip_derived_cl7])).
% 3.97/1.14 thf(zip_derived_cl2787, plain,
% 3.97/1.14 (![X0 : $i, X1 : $i]:
% 3.97/1.14 (((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1))
% 3.97/1.14 | ~ (ssList @ X1)
% 3.97/1.14 | ~ (ssItem @ X0))),
% 3.97/1.14 inference('simplify', [status(thm)], [zip_derived_cl2786])).
% 3.97/1.14 thf(zip_derived_cl2895, plain,
% 3.97/1.14 (![X0 : $i, X1 : $i]:
% 3.97/1.14 (~ (ssList @ (cons @ X0 @ nil))
% 3.97/1.14 | ((app @ (cons @ X0 @ nil) @ X1) != (sk1))
% 3.97/1.14 | ~ (ssList @ X1)
% 3.97/1.14 | ~ (ssItem @ X0))),
% 3.97/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl2787])).
% 3.97/1.14 thf(zip_derived_cl3191, plain,
% 3.97/1.14 (![X0 : $i, X1 : $i]:
% 3.97/1.14 (~ (ssList @ nil)
% 3.97/1.14 | ~ (ssItem @ X0)
% 3.97/1.14 | ((app @ (cons @ X0 @ nil) @ X1) != (sk1))
% 3.97/1.14 | ~ (ssList @ X1)
% 3.97/1.14 | ~ (ssItem @ X0))),
% 3.97/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2895])).
% 3.97/1.14 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 3.97/1.14 inference('cnf', [status(esa)], [clause8])).
% 3.97/1.14 thf(zip_derived_cl3192, plain,
% 3.97/1.14 (![X0 : $i, X1 : $i]:
% 3.97/1.14 (~ (ssItem @ X0)
% 3.97/1.14 | ((app @ (cons @ X0 @ nil) @ X1) != (sk1))
% 3.97/1.14 | ~ (ssList @ X1)
% 3.97/1.14 | ~ (ssItem @ X0))),
% 3.97/1.14 inference('demod', [status(thm)], [zip_derived_cl3191, zip_derived_cl7])).
% 3.97/1.14 thf(zip_derived_cl3193, plain,
% 3.97/1.14 (![X0 : $i, X1 : $i]:
% 3.97/1.14 (~ (ssList @ X1)
% 3.97/1.14 | ((app @ (cons @ X0 @ nil) @ X1) != (sk1))
% 3.97/1.14 | ~ (ssItem @ X0))),
% 3.97/1.14 inference('simplify', [status(thm)], [zip_derived_cl3192])).
% 3.97/1.14 thf(zip_derived_cl3347, plain,
% 3.97/1.14 (![X0 : $i, X1 : $i]:
% 3.97/1.14 (~ (ssList @ X0)
% 3.97/1.14 | ~ (ssItem @ X1)
% 3.97/1.14 | ~ (ssList @ X0)
% 3.97/1.14 | ((cons @ X1 @ X0) != (sk1))
% 3.97/1.14 | ~ (ssItem @ X1))),
% 3.97/1.14 inference('s_sup-', [status(thm)],
% 3.97/1.14 [zip_derived_cl119, zip_derived_cl3193])).
% 3.97/1.14 thf(zip_derived_cl3353, plain,
% 3.97/1.14 (![X0 : $i, X1 : $i]:
% 3.97/1.14 (((cons @ X1 @ X0) != (sk1)) | ~ (ssItem @ X1) | ~ (ssList @ X0))),
% 3.97/1.14 inference('simplify', [status(thm)], [zip_derived_cl3347])).
% 3.97/1.14 thf(zip_derived_cl3354, plain,
% 3.97/1.14 (![X0 : $i]:
% 3.97/1.14 (((nil) = (X0))
% 3.97/1.14 | ~ (ssList @ X0)
% 3.97/1.14 | ((X0) != (sk1))
% 3.97/1.14 | ~ (ssItem @ (skaf83 @ X0))
% 3.97/1.14 | ~ (ssList @ (skaf82 @ X0)))),
% 3.97/1.14 inference('s_sup-', [status(thm)],
% 3.97/1.14 [zip_derived_cl108, zip_derived_cl3353])).
% 3.97/1.14 thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 3.97/1.14 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 3.97/1.14 inference('cnf', [status(esa)], [clause12])).
% 3.97/1.14 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 3.97/1.14 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 3.97/1.14 inference('cnf', [status(esa)], [clause13])).
% 3.97/1.14 thf(zip_derived_cl3357, plain,
% 3.97/1.14 (![X0 : $i]: (((nil) = (X0)) | ~ (ssList @ X0) | ((X0) != (sk1)))),
% 3.97/1.14 inference('demod', [status(thm)],
% 3.97/1.14 [zip_derived_cl3354, zip_derived_cl11, zip_derived_cl12])).
% 3.97/1.14 thf(zip_derived_cl3371, plain, ((~ (ssList @ sk1) | ((nil) = (sk1)))),
% 3.97/1.14 inference('eq_res', [status(thm)], [zip_derived_cl3357])).
% 3.97/1.14 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 3.97/1.14 thf(zf_stmt_2, negated_conjecture, (ssList @ sk1),
% 3.97/1.14 inference('cnf.neg', [status(esa)], [co1_1])).
% 3.97/1.14 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 3.97/1.14 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.97/1.14 thf(zip_derived_cl3372, plain, (((nil) = (sk1))),
% 3.97/1.14 inference('demod', [status(thm)], [zip_derived_cl3371, zip_derived_cl185])).
% 3.97/1.14 thf(co1_7, conjecture, (( nil ) = ( sk1 ))).
% 3.97/1.14 thf(zf_stmt_3, negated_conjecture, (( nil ) != ( sk1 )),
% 3.97/1.14 inference('cnf.neg', [status(esa)], [co1_7])).
% 3.97/1.14 thf(zip_derived_cl191, plain, (((nil) != (sk1))),
% 3.97/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.97/1.14 thf(zip_derived_cl3373, plain, ($false),
% 3.97/1.14 inference('simplify_reflect-', [status(thm)],
% 3.97/1.14 [zip_derived_cl3372, zip_derived_cl191])).
% 3.97/1.14
% 3.97/1.14 % SZS output end Refutation
% 3.97/1.14
% 3.97/1.14
% 3.97/1.14 % Terminating...
% 4.67/1.25 % Runner terminated.
% 4.67/1.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------