TSTP Solution File: SWC251-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC251-1 : 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.PbAR1rmAmj true

% Computer : n009.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 21:30:14 EDT 2023

% Result   : Unsatisfiable 4.25s 1.17s
% Output   : Refutation 4.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWC251-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PbAR1rmAmj true
% 0.13/0.34  % Computer : n009.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 15:34:50 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.54/0.64  % Total configuration time : 435
% 0.54/0.64  % Estimated wc time : 1092
% 0.54/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.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
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.25/1.17  % Solved by fo/fo6_bce.sh.
% 4.25/1.17  % BCE start: 204
% 4.25/1.17  % BCE eliminated: 4
% 4.25/1.17  % PE start: 200
% 4.25/1.17  logic: eq
% 4.25/1.17  % PE eliminated: 6
% 4.25/1.17  % done 319 iterations in 0.463s
% 4.25/1.17  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.25/1.17  % SZS output start Refutation
% 4.25/1.17  thf(nil_type, type, nil: $i).
% 4.25/1.17  thf(sk5_type, type, sk5: $i > $i > $i > $i).
% 4.25/1.17  thf(cons_type, type, cons: $i > $i > $i).
% 4.25/1.17  thf(memberP_type, type, memberP: $i > $i > $o).
% 4.25/1.17  thf(ssItem_type, type, ssItem: $i > $o).
% 4.25/1.17  thf(skaf82_type, type, skaf82: $i > $i).
% 4.25/1.17  thf(skaf83_type, type, skaf83: $i > $i).
% 4.25/1.17  thf(app_type, type, app: $i > $i > $i).
% 4.25/1.17  thf(ssList_type, type, ssList: $i > $o).
% 4.25/1.17  thf(sk1_type, type, sk1: $i).
% 4.25/1.17  thf(clause109, axiom,
% 4.25/1.17    (( ~( ssList @ U ) ) | 
% 4.25/1.17     ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) | 
% 4.25/1.17     ( ( nil ) = ( U ) ))).
% 4.25/1.17  thf(zip_derived_cl108, plain,
% 4.25/1.17      (![X0 : $i]:
% 4.25/1.17         (~ (ssList @ X0)
% 4.25/1.17          | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 4.25/1.17          | ((nil) = (X0)))),
% 4.25/1.17      inference('cnf', [status(esa)], [clause109])).
% 4.25/1.17  thf(clause120, axiom,
% 4.25/1.17    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | 
% 4.25/1.17     ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 4.25/1.17  thf(zip_derived_cl119, plain,
% 4.25/1.17      (![X0 : $i, X1 : $i]:
% 4.25/1.17         (~ (ssItem @ X0)
% 4.25/1.17          | ~ (ssList @ X1)
% 4.25/1.17          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 4.25/1.17      inference('cnf', [status(esa)], [clause120])).
% 4.25/1.17  thf(clause86, axiom,
% 4.25/1.17    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 4.25/1.17  thf(zip_derived_cl85, plain,
% 4.25/1.17      (![X0 : $i, X1 : $i]:
% 4.25/1.17         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 4.25/1.17      inference('cnf', [status(esa)], [clause86])).
% 4.25/1.17  thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 4.25/1.17  thf(zip_derived_cl73, plain,
% 4.25/1.17      (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 4.25/1.17      inference('cnf', [status(esa)], [clause74])).
% 4.25/1.17  thf(co1_8, conjecture,
% 4.25/1.17    (~( ( ssItem @ ( sk5 @ C @ B @ A ) ) | 
% 4.25/1.17        ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) | 
% 4.25/1.17        ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 4.25/1.17  thf(zf_stmt_0, negated_conjecture,
% 4.25/1.17    (( ssItem @ ( sk5 @ C @ B @ A ) ) | 
% 4.25/1.17     ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) | 
% 4.25/1.17     ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 4.25/1.17    inference('cnf.neg', [status(esa)], [co1_8])).
% 4.25/1.17  thf(zip_derived_cl192, plain,
% 4.25/1.17      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.17         ( (ssItem @ (sk5 @ X0 @ X1 @ X2))
% 4.25/1.17          | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk1))
% 4.25/1.17          | ~ (ssList @ X0)
% 4.25/1.17          | ~ (ssList @ X1)
% 4.25/1.17          | ~ (ssItem @ X2))),
% 4.25/1.17      inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.25/1.17  thf(co1_9, conjecture,
% 4.25/1.17    (~( ( memberP @ B @ ( sk5 @ C @ B @ A ) ) | 
% 4.25/1.17        ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) | 
% 4.25/1.17        ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 4.25/1.17  thf(zf_stmt_1, negated_conjecture,
% 4.25/1.17    (( memberP @ B @ ( sk5 @ C @ B @ A ) ) | 
% 4.25/1.17     ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) | 
% 4.25/1.17     ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 4.25/1.17    inference('cnf.neg', [status(esa)], [co1_9])).
% 4.25/1.17  thf(zip_derived_cl193, plain,
% 4.25/1.17      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.25/1.17         ( (memberP @ X0 @ (sk5 @ X1 @ X0 @ X2))
% 4.25/1.17          | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X1) != (sk1))
% 4.25/1.17          | ~ (ssList @ X1)
% 4.25/1.17          | ~ (ssList @ X0)
% 4.25/1.17          | ~ (ssItem @ X2))),
% 4.25/1.17      inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.25/1.17  thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 4.25/1.17  thf(zip_derived_cl70, plain,
% 4.25/1.17      (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 4.25/1.17      inference('cnf', [status(esa)], [clause71])).
% 4.25/1.17  thf(zip_derived_cl2575, plain,
% 4.25/1.17      (![X0 : $i, X1 : $i]:
% 4.25/1.17         (~ (ssItem @ X0)
% 4.25/1.17          | ~ (ssList @ nil)
% 4.25/1.17          | ~ (ssList @ X1)
% 4.25/1.17          | ((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1))
% 4.25/1.17          | ~ (ssItem @ (sk5 @ X1 @ nil @ X0)))),
% 4.25/1.17      inference('s_sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl70])).
% 4.25/1.17  thf(clause8, axiom, (ssList @ nil)).
% 4.25/1.17  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.25/1.17      inference('cnf', [status(esa)], [clause8])).
% 4.25/1.17  thf(zip_derived_cl2576, plain,
% 4.25/1.17      (![X0 : $i, X1 : $i]:
% 4.25/1.17         (~ (ssItem @ X0)
% 4.25/1.17          | ~ (ssList @ X1)
% 4.25/1.17          | ((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1))
% 4.25/1.17          | ~ (ssItem @ (sk5 @ X1 @ nil @ X0)))),
% 4.25/1.17      inference('demod', [status(thm)], [zip_derived_cl2575, zip_derived_cl7])).
% 4.25/1.17  thf(zip_derived_cl2665, plain,
% 4.25/1.17      (![X0 : $i, X1 : $i]:
% 4.25/1.17         (~ (ssItem @ X0)
% 4.25/1.17          | ~ (ssList @ nil)
% 4.25/1.17          | ~ (ssList @ X1)
% 4.25/1.17          | ((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1))
% 4.25/1.17          | ~ (ssItem @ X0)
% 4.25/1.17          | ~ (ssList @ X1)
% 4.25/1.17          | ((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1)))),
% 4.25/1.17      inference('s_sup-', [status(thm)],
% 4.25/1.17                [zip_derived_cl192, zip_derived_cl2576])).
% 4.25/1.17  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.25/1.17      inference('cnf', [status(esa)], [clause8])).
% 4.25/1.17  thf(zip_derived_cl2666, plain,
% 4.25/1.17      (![X0 : $i, X1 : $i]:
% 4.25/1.17         (~ (ssItem @ X0)
% 4.25/1.17          | ~ (ssList @ X1)
% 4.25/1.17          | ((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1))
% 4.25/1.17          | ~ (ssItem @ X0)
% 4.25/1.17          | ~ (ssList @ X1)
% 4.25/1.17          | ((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1)))),
% 4.25/1.17      inference('demod', [status(thm)], [zip_derived_cl2665, zip_derived_cl7])).
% 4.25/1.17  thf(zip_derived_cl2667, plain,
% 4.25/1.17      (![X0 : $i, X1 : $i]:
% 4.25/1.17         (((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1))
% 4.25/1.17          | ~ (ssList @ X1)
% 4.25/1.17          | ~ (ssItem @ X0))),
% 4.25/1.17      inference('simplify', [status(thm)], [zip_derived_cl2666])).
% 4.25/1.17  thf(zip_derived_cl2702, plain,
% 4.25/1.17      (![X0 : $i, X1 : $i]:
% 4.25/1.17         (~ (ssList @ (cons @ X0 @ nil))
% 4.25/1.17          | ((app @ (cons @ X0 @ nil) @ X1) != (sk1))
% 4.25/1.17          | ~ (ssList @ X1)
% 4.25/1.17          | ~ (ssItem @ X0))),
% 4.25/1.17      inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl2667])).
% 4.25/1.17  thf(zip_derived_cl2794, plain,
% 4.25/1.17      (![X0 : $i, X1 : $i]:
% 4.25/1.17         (~ (ssList @ nil)
% 4.25/1.17          | ~ (ssItem @ X0)
% 4.25/1.17          | ((app @ (cons @ X0 @ nil) @ X1) != (sk1))
% 4.25/1.17          | ~ (ssList @ X1)
% 4.25/1.17          | ~ (ssItem @ X0))),
% 4.25/1.17      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2702])).
% 4.25/1.17  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.25/1.17      inference('cnf', [status(esa)], [clause8])).
% 4.25/1.17  thf(zip_derived_cl2795, plain,
% 4.25/1.17      (![X0 : $i, X1 : $i]:
% 4.25/1.17         (~ (ssItem @ X0)
% 4.25/1.17          | ((app @ (cons @ X0 @ nil) @ X1) != (sk1))
% 4.25/1.17          | ~ (ssList @ X1)
% 4.25/1.17          | ~ (ssItem @ X0))),
% 4.25/1.17      inference('demod', [status(thm)], [zip_derived_cl2794, zip_derived_cl7])).
% 4.25/1.17  thf(zip_derived_cl2796, plain,
% 4.25/1.17      (![X0 : $i, X1 : $i]:
% 4.25/1.17         (~ (ssList @ X1)
% 4.25/1.17          | ((app @ (cons @ X0 @ nil) @ X1) != (sk1))
% 4.25/1.17          | ~ (ssItem @ X0))),
% 4.25/1.17      inference('simplify', [status(thm)], [zip_derived_cl2795])).
% 4.25/1.17  thf(zip_derived_cl2907, plain,
% 4.25/1.17      (![X0 : $i, X1 : $i]:
% 4.25/1.17         (~ (ssList @ X0)
% 4.25/1.17          | ~ (ssItem @ X1)
% 4.25/1.17          | ~ (ssList @ X0)
% 4.25/1.17          | ((cons @ X1 @ X0) != (sk1))
% 4.25/1.17          | ~ (ssItem @ X1))),
% 4.25/1.17      inference('s_sup-', [status(thm)],
% 4.25/1.17                [zip_derived_cl119, zip_derived_cl2796])).
% 4.25/1.17  thf(zip_derived_cl2913, plain,
% 4.25/1.17      (![X0 : $i, X1 : $i]:
% 4.25/1.17         (((cons @ X1 @ X0) != (sk1)) | ~ (ssItem @ X1) | ~ (ssList @ X0))),
% 4.25/1.17      inference('simplify', [status(thm)], [zip_derived_cl2907])).
% 4.25/1.17  thf(zip_derived_cl3128, plain,
% 4.25/1.17      (![X0 : $i]:
% 4.25/1.17         (((nil) = (X0))
% 4.25/1.17          | ~ (ssList @ X0)
% 4.25/1.17          | ((X0) != (sk1))
% 4.25/1.17          | ~ (ssItem @ (skaf83 @ X0))
% 4.25/1.17          | ~ (ssList @ (skaf82 @ X0)))),
% 4.25/1.17      inference('s_sup-', [status(thm)],
% 4.25/1.17                [zip_derived_cl108, zip_derived_cl2913])).
% 4.25/1.17  thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 4.25/1.17  thf(zip_derived_cl11, plain, (![X0 : $i]:  (ssItem @ (skaf83 @ X0))),
% 4.25/1.17      inference('cnf', [status(esa)], [clause12])).
% 4.25/1.17  thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 4.25/1.17  thf(zip_derived_cl12, plain, (![X0 : $i]:  (ssList @ (skaf82 @ X0))),
% 4.25/1.17      inference('cnf', [status(esa)], [clause13])).
% 4.25/1.17  thf(zip_derived_cl3133, plain,
% 4.25/1.17      (![X0 : $i]: (((nil) = (X0)) | ~ (ssList @ X0) | ((X0) != (sk1)))),
% 4.25/1.17      inference('demod', [status(thm)],
% 4.25/1.17                [zip_derived_cl3128, zip_derived_cl11, zip_derived_cl12])).
% 4.25/1.17  thf(zip_derived_cl3150, plain, ((~ (ssList @ sk1) | ((nil) = (sk1)))),
% 4.25/1.17      inference('eq_res', [status(thm)], [zip_derived_cl3133])).
% 4.25/1.17  thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 4.25/1.17  thf(zf_stmt_2, negated_conjecture, (ssList @ sk1),
% 4.25/1.17    inference('cnf.neg', [status(esa)], [co1_1])).
% 4.25/1.17  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.25/1.17      inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.25/1.17  thf(zip_derived_cl3151, plain, (((nil) = (sk1))),
% 4.25/1.17      inference('demod', [status(thm)], [zip_derived_cl3150, zip_derived_cl185])).
% 4.25/1.17  thf(co1_7, conjecture, (( nil ) = ( sk1 ))).
% 4.25/1.17  thf(zf_stmt_3, negated_conjecture, (( nil ) != ( sk1 )),
% 4.25/1.17    inference('cnf.neg', [status(esa)], [co1_7])).
% 4.25/1.17  thf(zip_derived_cl191, plain, (((nil) != (sk1))),
% 4.25/1.17      inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.25/1.17  thf(zip_derived_cl3152, plain, ($false),
% 4.25/1.17      inference('simplify_reflect-', [status(thm)],
% 4.25/1.17                [zip_derived_cl3151, zip_derived_cl191])).
% 4.25/1.17  
% 4.25/1.17  % SZS output end Refutation
% 4.25/1.17  
% 4.25/1.17  
% 4.25/1.17  % Terminating...
% 4.25/1.25  % Runner terminated.
% 4.25/1.25  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------