TSTP Solution File: SET849-2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET849-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eUVDwUALEU true

% Computer : n008.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 16:16:24 EDT 2023

% Result   : Unsatisfiable 0.20s 0.73s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET849-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eUVDwUALEU true
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 12:43:32 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % 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
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % Solved by fo/fo3_bce.sh.
% 0.20/0.73  % BCE start: 4
% 0.20/0.73  % BCE eliminated: 0
% 0.20/0.73  % PE start: 4
% 0.20/0.73  logic: eq
% 0.20/0.73  % PE eliminated: 2
% 0.20/0.73  % done 5 iterations in 0.008s
% 0.20/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.73  % SZS output start Refutation
% 0.20/0.73  thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.20/0.73  thf(v_S_type, type, v_S: $i).
% 0.20/0.73  thf(tc_set_type, type, tc_set: $i > $i).
% 0.20/0.73  thf(c_Union_type, type, c_Union: $i > $i > $i).
% 0.20/0.73  thf(t_a_type, type, t_a: $i).
% 0.20/0.73  thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.20/0.73  thf(c_Zorn_OTFin_type, type, c_Zorn_OTFin: $i > $i > $i).
% 0.20/0.73  thf(c_Zorn_Osucc_type, type, c_Zorn_Osucc: $i > $i > $i > $i).
% 0.20/0.73  thf(cls_conjecture_1, conjecture,
% 0.20/0.73    (( c_Zorn_Osucc @
% 0.20/0.73       v_S @ ( c_Union @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ t_a ) ) @ 
% 0.20/0.73       t_a ) =
% 0.20/0.73     ( c_Union @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ t_a ) ))).
% 0.20/0.73  thf(zf_stmt_0, negated_conjecture,
% 0.20/0.73    (( c_Zorn_Osucc @
% 0.20/0.73       v_S @ ( c_Union @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ t_a ) ) @ 
% 0.20/0.73       t_a ) !=
% 0.20/0.73     ( c_Union @ ( c_Zorn_OTFin @ v_S @ t_a ) @ ( tc_set @ t_a ) )),
% 0.20/0.73    inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.20/0.73  thf(zip_derived_cl3, plain,
% 0.20/0.73      (((c_Zorn_Osucc @ v_S @ 
% 0.20/0.73         (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)) @ t_a)
% 0.20/0.73         != (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)))),
% 0.20/0.73      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.73  thf(cls_Set_Osubset__refl_0, axiom,
% 0.20/0.73    (c_lessequals @ V_A @ V_A @ ( tc_set @ T_a ))).
% 0.20/0.73  thf(zip_derived_cl0, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]:  (c_lessequals @ X0 @ X0 @ (tc_set @ X1))),
% 0.20/0.73      inference('cnf', [status(esa)], [cls_Set_Osubset__refl_0])).
% 0.20/0.73  thf(cls_Zorn_OTFin__UnionI_0, axiom,
% 0.20/0.73    (( ~( c_lessequals @
% 0.20/0.73          V_Y @ ( c_Zorn_OTFin @ V_S @ T_a ) @ 
% 0.20/0.73          ( tc_set @ ( tc_set @ ( tc_set @ T_a ) ) ) ) ) | 
% 0.20/0.73     ( c_in @
% 0.20/0.73       ( c_Union @ V_Y @ ( tc_set @ T_a ) ) @ ( c_Zorn_OTFin @ V_S @ T_a ) @ 
% 0.20/0.73       ( tc_set @ ( tc_set @ T_a ) ) ))).
% 0.20/0.73  thf(zip_derived_cl1, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.73         (~ (c_lessequals @ X0 @ (c_Zorn_OTFin @ X1 @ X2) @ 
% 0.20/0.73             (tc_set @ (tc_set @ (tc_set @ X2))))
% 0.20/0.73          |  (c_in @ (c_Union @ X0 @ (tc_set @ X2)) @ 
% 0.20/0.73              (c_Zorn_OTFin @ X1 @ X2) @ (tc_set @ (tc_set @ X2))))),
% 0.20/0.73      inference('cnf', [status(esa)], [cls_Zorn_OTFin__UnionI_0])).
% 0.20/0.73  thf(zip_derived_cl14, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.20/0.73         (((X1) != (X4))
% 0.20/0.73          | ((X1) != (c_Zorn_OTFin @ X3 @ X2))
% 0.20/0.73          | ((tc_set @ X0) != (tc_set @ (tc_set @ (tc_set @ X2))))
% 0.20/0.73          |  (c_in @ (c_Union @ X4 @ (tc_set @ X2)) @ 
% 0.20/0.73              (c_Zorn_OTFin @ X3 @ X2) @ (tc_set @ (tc_set @ X2))))),
% 0.20/0.73      inference('dp-resolution', [status(thm)],
% 0.20/0.73                [zip_derived_cl0, zip_derived_cl1])).
% 0.20/0.73  thf(cls_Zorn_Oequal__succ__Union_1, axiom,
% 0.20/0.73    (( ~( c_in @
% 0.20/0.73          ( c_Union @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ T_a ) ) @ 
% 0.20/0.73          ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ ( tc_set @ T_a ) ) ) ) | 
% 0.20/0.73     ( ( c_Union @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ T_a ) ) =
% 0.20/0.73       ( c_Zorn_Osucc @
% 0.20/0.73         V_S @ ( c_Union @ ( c_Zorn_OTFin @ V_S @ T_a ) @ ( tc_set @ T_a ) ) @ 
% 0.20/0.73         T_a ) ))).
% 0.20/0.73  thf(zip_derived_cl2, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]:
% 0.20/0.73         (~ (c_in @ (c_Union @ (c_Zorn_OTFin @ X0 @ X1) @ (tc_set @ X1)) @ 
% 0.20/0.73             (c_Zorn_OTFin @ X0 @ X1) @ (tc_set @ (tc_set @ X1)))
% 0.20/0.73          | ((c_Union @ (c_Zorn_OTFin @ X0 @ X1) @ (tc_set @ X1))
% 0.20/0.73              = (c_Zorn_Osucc @ X0 @ 
% 0.20/0.73                 (c_Union @ (c_Zorn_OTFin @ X0 @ X1) @ (tc_set @ X1)) @ X1)))),
% 0.20/0.73      inference('cnf', [status(esa)], [cls_Zorn_Oequal__succ__Union_1])).
% 0.20/0.73  thf(zip_derived_cl17, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.20/0.73         (((c_Union @ X1 @ (tc_set @ X2))
% 0.20/0.73            != (c_Union @ (c_Zorn_OTFin @ X6 @ X5) @ (tc_set @ X5)))
% 0.20/0.73          | ((c_Zorn_OTFin @ X3 @ X2) != (c_Zorn_OTFin @ X6 @ X5))
% 0.20/0.73          | ((tc_set @ (tc_set @ X2)) != (tc_set @ (tc_set @ X5)))
% 0.20/0.73          | ((tc_set @ X4) != (tc_set @ (tc_set @ (tc_set @ X2))))
% 0.20/0.73          | ((X0) != (c_Zorn_OTFin @ X3 @ X2))
% 0.20/0.73          | ((X0) != (X1))
% 0.20/0.73          | ((c_Union @ (c_Zorn_OTFin @ X6 @ X5) @ (tc_set @ X5))
% 0.20/0.73              = (c_Zorn_Osucc @ X6 @ 
% 0.20/0.73                 (c_Union @ (c_Zorn_OTFin @ X6 @ X5) @ (tc_set @ X5)) @ X5)))),
% 0.20/0.73      inference('dp-resolution', [status(thm)],
% 0.20/0.73                [zip_derived_cl14, zip_derived_cl2])).
% 0.20/0.73  thf(zip_derived_cl18, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.20/0.73         (((c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0))
% 0.20/0.73            = (c_Zorn_Osucc @ X1 @ 
% 0.20/0.73               (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @ X0))
% 0.20/0.73          | ((X2) != (c_Zorn_OTFin @ X4 @ X3))
% 0.20/0.73          | ((tc_set @ X5) != (tc_set @ (tc_set @ (tc_set @ X3))))
% 0.20/0.73          | ((tc_set @ (tc_set @ X3)) != (tc_set @ (tc_set @ X0)))
% 0.20/0.73          | ((c_Zorn_OTFin @ X4 @ X3) != (c_Zorn_OTFin @ X1 @ X0))
% 0.20/0.73          | ((c_Union @ X2 @ (tc_set @ X3))
% 0.20/0.73              != (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0))))),
% 0.20/0.73      inference('eq_res', [status(thm)], [zip_derived_cl17])).
% 0.20/0.73  thf(zip_derived_cl19, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.73         (((c_Zorn_OTFin @ X1 @ X0) != (c_Zorn_OTFin @ X2 @ X0))
% 0.20/0.73          | ((tc_set @ (tc_set @ X0)) != (tc_set @ (tc_set @ X0)))
% 0.20/0.73          | ((tc_set @ X3) != (tc_set @ (tc_set @ (tc_set @ X0))))
% 0.20/0.73          | ((c_Zorn_OTFin @ X2 @ X0) != (c_Zorn_OTFin @ X1 @ X0))
% 0.20/0.73          | ((c_Union @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ X0))
% 0.20/0.73              = (c_Zorn_Osucc @ X2 @ 
% 0.20/0.73                 (c_Union @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ X0)) @ X0)))),
% 0.20/0.73      inference('eq_res', [status(thm)], [zip_derived_cl18])).
% 0.20/0.73  thf(zip_derived_cl20, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.20/0.73         (((c_Union @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ X0))
% 0.20/0.73            = (c_Zorn_Osucc @ X2 @ 
% 0.20/0.73               (c_Union @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ X0)) @ X0))
% 0.20/0.73          | ((tc_set @ X3) != (tc_set @ (tc_set @ (tc_set @ X0))))
% 0.20/0.73          | ((c_Zorn_OTFin @ X1 @ X0) != (c_Zorn_OTFin @ X2 @ X0)))),
% 0.20/0.73      inference('simplify', [status(thm)], [zip_derived_cl19])).
% 0.20/0.73  thf(zip_derived_cl21, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.73         (((c_Zorn_OTFin @ X1 @ X0) != (c_Zorn_OTFin @ X2 @ X0))
% 0.20/0.73          | ((c_Union @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ X0))
% 0.20/0.73              = (c_Zorn_Osucc @ X2 @ 
% 0.20/0.73                 (c_Union @ (c_Zorn_OTFin @ X2 @ X0) @ (tc_set @ X0)) @ X0)))),
% 0.20/0.73      inference('eq_res', [status(thm)], [zip_derived_cl20])).
% 0.20/0.73  thf(zip_derived_cl22, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]:
% 0.20/0.73         ((c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0))
% 0.20/0.73           = (c_Zorn_Osucc @ X1 @ 
% 0.20/0.73              (c_Union @ (c_Zorn_OTFin @ X1 @ X0) @ (tc_set @ X0)) @ X0))),
% 0.20/0.73      inference('eq_res', [status(thm)], [zip_derived_cl21])).
% 0.20/0.73  thf(zip_derived_cl23, plain,
% 0.20/0.73      (((c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a))
% 0.20/0.73         != (c_Union @ (c_Zorn_OTFin @ v_S @ t_a) @ (tc_set @ t_a)))),
% 0.20/0.73      inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl22])).
% 0.20/0.73  thf(zip_derived_cl24, plain, ($false),
% 0.20/0.73      inference('simplify', [status(thm)], [zip_derived_cl23])).
% 0.20/0.73  
% 0.20/0.73  % SZS output end Refutation
% 0.20/0.73  
% 0.20/0.73  
% 0.20/0.73  % Terminating...
% 1.33/0.83  % Runner terminated.
% 1.33/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------