TSTP Solution File: SWV679-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV679-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8hKadqDurG true

% Computer : n016.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 : Fri Sep  1 00:11:45 EDT 2023

% Result   : Unsatisfiable 10.94s 2.17s
% Output   : Refutation 10.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV679-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8hKadqDurG true
% 0.13/0.34  % Computer : n016.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
% 0.20/0.34  % CPULimit : 300
% 0.20/0.34  % WCLimit  : 300
% 0.20/0.34  % DateTime : Tue Aug 29 09:34:30 EDT 2023
% 0.20/0.34  % CPUTime  : 
% 0.20/0.34  % Running portfolio for 300 s
% 0.20/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.34  % Number of cores: 8
% 0.20/0.34  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.50/0.63  % Total configuration time : 435
% 0.50/0.63  % Estimated wc time : 1092
% 0.50/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.94/2.17  % Solved by fo/fo3_bce.sh.
% 10.94/2.17  % BCE start: 477
% 10.94/2.17  % BCE eliminated: 120
% 10.94/2.17  % PE start: 357
% 10.94/2.17  logic: eq
% 10.94/2.17  % PE eliminated: -20
% 10.94/2.17  % done 1134 iterations in 1.439s
% 10.94/2.17  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.94/2.17  % SZS output start Refutation
% 10.94/2.17  thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 10.94/2.17  thf(c_HOL_Oinverse__class_Oinverse_type, type, c_HOL_Oinverse__class_Oinverse: 
% 10.94/2.17      $i > $i > $i).
% 10.94/2.17  thf(v_a_type, type, v_a: $i).
% 10.94/2.17  thf(t_a_type, type, t_a: $i).
% 10.94/2.17  thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus: 
% 10.94/2.17      $i > $i > $i > $i).
% 10.94/2.17  thf(v_n_type, type, v_n: $i).
% 10.94/2.17  thf(v_m_type, type, v_m: $i).
% 10.94/2.17  thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 10.94/2.17  thf(tc_nat_type, type, tc_nat: $i).
% 10.94/2.17  thf(class_Ring__and__Field_Ofield_type, type, class_Ring__and__Field_Ofield: 
% 10.94/2.17      $i > $o).
% 10.94/2.17  thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 10.94/2.17  thf(c_HOL_Oinverse__class_Odivide_type, type, c_HOL_Oinverse__class_Odivide: 
% 10.94/2.17      $i > $i > $i > $i).
% 10.94/2.17  thf(c_Power_Opower__class_Opower_type, type, c_Power_Opower__class_Opower: 
% 10.94/2.17      $i > $i > $i > $i).
% 10.94/2.17  thf(cls_False_0, axiom, (~( c_lessequals @ v_n @ v_m @ tc_nat ))).
% 10.94/2.17  thf(zip_derived_cl459, plain, (~ (c_lessequals @ v_n @ v_m @ tc_nat)),
% 10.94/2.17      inference('cnf', [status(esa)], [cls_False_0])).
% 10.94/2.17  thf(tfree_tcs, conjecture, (~( class_Ring__and__Field_Ofield @ t_a ))).
% 10.94/2.17  thf(zf_stmt_0, negated_conjecture, (class_Ring__and__Field_Ofield @ t_a),
% 10.94/2.17    inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 10.94/2.17  thf(zip_derived_cl476, plain, ( (class_Ring__and__Field_Ofield @ t_a)),
% 10.94/2.17      inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.94/2.17  thf(cls_power__diff__inverse_0, axiom,
% 10.94/2.17    (( ~( class_Ring__and__Field_Ofield @ T_a ) ) | 
% 10.94/2.17     ( ( c_Power_Opower__class_Opower @
% 10.94/2.17         ( c_HOL_Oinverse__class_Oinverse @ V_a @ T_a ) @ 
% 10.94/2.17         ( c_HOL_Ominus__class_Ominus @ V_n @ V_m @ tc_nat ) @ T_a ) =
% 10.94/2.17       ( c_HOL_Oinverse__class_Odivide @
% 10.94/2.17         ( c_Power_Opower__class_Opower @ V_a @ V_m @ T_a ) @ 
% 10.94/2.17         ( c_Power_Opower__class_Opower @ V_a @ V_n @ T_a ) @ T_a ) ) | 
% 10.94/2.17     ( ~( c_lessequals @ V_m @ V_n @ tc_nat ) ) | 
% 10.94/2.17     ( ( V_a ) = ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 10.94/2.17  thf(zip_derived_cl412, plain,
% 10.94/2.17      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.94/2.17         (~ (class_Ring__and__Field_Ofield @ X0)
% 10.94/2.17          | ((c_Power_Opower__class_Opower @ 
% 10.94/2.17              (c_HOL_Oinverse__class_Oinverse @ X1 @ X0) @ 
% 10.94/2.17              (c_HOL_Ominus__class_Ominus @ X3 @ X2 @ tc_nat) @ X0)
% 10.94/2.17              = (c_HOL_Oinverse__class_Odivide @ 
% 10.94/2.17                 (c_Power_Opower__class_Opower @ X1 @ X2 @ X0) @ 
% 10.94/2.17                 (c_Power_Opower__class_Opower @ X1 @ X3 @ X0) @ X0))
% 10.94/2.17          | ~ (c_lessequals @ X2 @ X3 @ tc_nat)
% 10.94/2.17          | ((X1) = (c_HOL_Ozero__class_Ozero @ X0)))),
% 10.94/2.17      inference('cnf', [status(esa)], [cls_power__diff__inverse_0])).
% 10.94/2.17  thf(zip_derived_cl1698, plain,
% 10.94/2.17      (![X0 : $i, X1 : $i, X2 : $i]:
% 10.94/2.17         (((X2) = (c_HOL_Ozero__class_Ozero @ t_a))
% 10.94/2.17          | ~ (c_lessequals @ X0 @ X1 @ tc_nat)
% 10.94/2.17          | ((c_Power_Opower__class_Opower @ 
% 10.94/2.17              (c_HOL_Oinverse__class_Oinverse @ X2 @ t_a) @ 
% 10.94/2.17              (c_HOL_Ominus__class_Ominus @ X1 @ X0 @ tc_nat) @ t_a)
% 10.94/2.17              = (c_HOL_Oinverse__class_Odivide @ 
% 10.94/2.17                 (c_Power_Opower__class_Opower @ X2 @ X0 @ t_a) @ 
% 10.94/2.17                 (c_Power_Opower__class_Opower @ X2 @ X1 @ t_a) @ t_a)))),
% 10.94/2.17      inference('dp-resolution', [status(thm)],
% 10.94/2.17                [zip_derived_cl476, zip_derived_cl412])).
% 10.94/2.17  thf(cls_conjecture_0, conjecture,
% 10.94/2.17    (~( ( c_lessequals @ v_n @ v_m @ tc_nat ) | 
% 10.94/2.17        ( ( c_HOL_Oinverse__class_Odivide @
% 10.94/2.17            ( c_Power_Opower__class_Opower @ v_a @ v_m @ t_a ) @ 
% 10.94/2.17            ( c_Power_Opower__class_Opower @ v_a @ v_n @ t_a ) @ t_a ) !=
% 10.94/2.17          ( c_Power_Opower__class_Opower @
% 10.94/2.17            ( c_HOL_Oinverse__class_Odivide @
% 10.94/2.17              ( c_HOL_Oone__class_Oone @ t_a ) @ v_a @ t_a ) @ 
% 10.94/2.17            ( c_HOL_Ominus__class_Ominus @ v_n @ v_m @ tc_nat ) @ t_a ) ) ))).
% 10.94/2.17  thf(zf_stmt_1, negated_conjecture,
% 10.94/2.17    (( c_lessequals @ v_n @ v_m @ tc_nat ) | 
% 10.94/2.17     ( ( c_HOL_Oinverse__class_Odivide @
% 10.94/2.17         ( c_Power_Opower__class_Opower @ v_a @ v_m @ t_a ) @ 
% 10.94/2.17         ( c_Power_Opower__class_Opower @ v_a @ v_n @ t_a ) @ t_a ) !=
% 10.94/2.17       ( c_Power_Opower__class_Opower @
% 10.94/2.17         ( c_HOL_Oinverse__class_Odivide @
% 10.94/2.17           ( c_HOL_Oone__class_Oone @ t_a ) @ v_a @ t_a ) @ 
% 10.94/2.17         ( c_HOL_Ominus__class_Ominus @ v_n @ v_m @ tc_nat ) @ t_a ) )),
% 10.94/2.17    inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 10.94/2.17  thf(zip_derived_cl475, plain,
% 10.94/2.17      (( (c_lessequals @ v_n @ v_m @ tc_nat)
% 10.94/2.17        | ((c_HOL_Oinverse__class_Odivide @ 
% 10.94/2.17            (c_Power_Opower__class_Opower @ v_a @ v_m @ t_a) @ 
% 10.94/2.17            (c_Power_Opower__class_Opower @ v_a @ v_n @ t_a) @ t_a)
% 10.94/2.17            != (c_Power_Opower__class_Opower @ 
% 10.94/2.17                (c_HOL_Oinverse__class_Odivide @ 
% 10.94/2.17                 (c_HOL_Oone__class_Oone @ t_a) @ v_a @ t_a) @ 
% 10.94/2.17                (c_HOL_Ominus__class_Ominus @ v_n @ v_m @ tc_nat) @ t_a)))),
% 10.94/2.17      inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.94/2.17  thf(zip_derived_cl459, plain, (~ (c_lessequals @ v_n @ v_m @ tc_nat)),
% 10.94/2.17      inference('cnf', [status(esa)], [cls_False_0])).
% 10.94/2.17  thf(zip_derived_cl1801, plain,
% 10.94/2.17      (((c_HOL_Oinverse__class_Odivide @ 
% 10.94/2.17         (c_Power_Opower__class_Opower @ v_a @ v_m @ t_a) @ 
% 10.94/2.17         (c_Power_Opower__class_Opower @ v_a @ v_n @ t_a) @ t_a)
% 10.94/2.17         != (c_Power_Opower__class_Opower @ 
% 10.94/2.17             (c_HOL_Oinverse__class_Odivide @ (c_HOL_Oone__class_Oone @ t_a) @ 
% 10.94/2.17              v_a @ t_a) @ 
% 10.94/2.17             (c_HOL_Ominus__class_Ominus @ v_n @ v_m @ tc_nat) @ t_a))),
% 10.94/2.17      inference('demod', [status(thm)], [zip_derived_cl475, zip_derived_cl459])).
% 10.94/2.17  thf(zip_derived_cl476, plain, ( (class_Ring__and__Field_Ofield @ t_a)),
% 10.94/2.17      inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.94/2.17  thf(cls_inverse__eq__divide_0, axiom,
% 10.94/2.17    (( ~( class_Ring__and__Field_Ofield @ T_a ) ) | 
% 10.94/2.17     ( ( c_HOL_Oinverse__class_Oinverse @ V_a @ T_a ) =
% 10.94/2.17       ( c_HOL_Oinverse__class_Odivide @
% 10.94/2.17         ( c_HOL_Oone__class_Oone @ T_a ) @ V_a @ T_a ) ))).
% 10.94/2.17  thf(zip_derived_cl402, plain,
% 10.94/2.17      (![X0 : $i, X1 : $i]:
% 10.94/2.17         (~ (class_Ring__and__Field_Ofield @ X0)
% 10.94/2.17          | ((c_HOL_Oinverse__class_Oinverse @ X1 @ X0)
% 10.94/2.17              = (c_HOL_Oinverse__class_Odivide @ 
% 10.94/2.17                 (c_HOL_Oone__class_Oone @ X0) @ X1 @ X0)))),
% 10.94/2.17      inference('cnf', [status(esa)], [cls_inverse__eq__divide_0])).
% 10.94/2.17  thf(zip_derived_cl1694, plain,
% 10.94/2.17      (![X0 : $i]:
% 10.94/2.17         ((c_HOL_Oinverse__class_Oinverse @ X0 @ t_a)
% 10.94/2.17           = (c_HOL_Oinverse__class_Odivide @ (c_HOL_Oone__class_Oone @ t_a) @ 
% 10.94/2.17              X0 @ t_a))),
% 10.94/2.17      inference('dp-resolution', [status(thm)],
% 10.94/2.17                [zip_derived_cl476, zip_derived_cl402])).
% 10.94/2.17  thf(zip_derived_cl1829, plain,
% 10.94/2.17      (((c_HOL_Oinverse__class_Odivide @ 
% 10.94/2.17         (c_Power_Opower__class_Opower @ v_a @ v_m @ t_a) @ 
% 10.94/2.17         (c_Power_Opower__class_Opower @ v_a @ v_n @ t_a) @ t_a)
% 10.94/2.17         != (c_Power_Opower__class_Opower @ 
% 10.94/2.17             (c_HOL_Oinverse__class_Oinverse @ v_a @ t_a) @ 
% 10.94/2.17             (c_HOL_Ominus__class_Ominus @ v_n @ v_m @ tc_nat) @ t_a))),
% 10.94/2.17      inference('demod', [status(thm)],
% 10.94/2.17                [zip_derived_cl1801, zip_derived_cl1694])).
% 10.94/2.17  thf(zip_derived_cl9752, plain,
% 10.94/2.17      ((((c_Power_Opower__class_Opower @ 
% 10.94/2.17          (c_HOL_Oinverse__class_Oinverse @ v_a @ t_a) @ 
% 10.94/2.17          (c_HOL_Ominus__class_Ominus @ v_n @ v_m @ tc_nat) @ t_a)
% 10.94/2.17          != (c_Power_Opower__class_Opower @ 
% 10.94/2.17              (c_HOL_Oinverse__class_Oinverse @ v_a @ t_a) @ 
% 10.94/2.17              (c_HOL_Ominus__class_Ominus @ v_n @ v_m @ tc_nat) @ t_a))
% 10.94/2.17        | ~ (c_lessequals @ v_m @ v_n @ tc_nat)
% 10.94/2.17        | ((v_a) = (c_HOL_Ozero__class_Ozero @ t_a)))),
% 10.94/2.17      inference('sup-', [status(thm)], [zip_derived_cl1698, zip_derived_cl1829])).
% 10.94/2.17  thf(zip_derived_cl9763, plain,
% 10.94/2.17      ((((v_a) = (c_HOL_Ozero__class_Ozero @ t_a))
% 10.94/2.17        | ~ (c_lessequals @ v_m @ v_n @ tc_nat))),
% 10.94/2.17      inference('simplify', [status(thm)], [zip_derived_cl9752])).
% 10.94/2.17  thf(zip_derived_cl476, plain, ( (class_Ring__and__Field_Ofield @ t_a)),
% 10.94/2.17      inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.94/2.17  thf(cls_nz_0, axiom,
% 10.94/2.17    (( ~( class_Ring__and__Field_Ofield @ t_a ) ) | 
% 10.94/2.17     ( ( v_a ) != ( c_HOL_Ozero__class_Ozero @ t_a ) ))).
% 10.94/2.17  thf(zip_derived_cl300, plain,
% 10.94/2.17      ((~ (class_Ring__and__Field_Ofield @ t_a)
% 10.94/2.17        | ((v_a) != (c_HOL_Ozero__class_Ozero @ t_a)))),
% 10.94/2.17      inference('cnf', [status(esa)], [cls_nz_0])).
% 10.94/2.17  thf(zip_derived_cl1692, plain,
% 10.94/2.17      ((((t_a) != (t_a)) | ((v_a) != (c_HOL_Ozero__class_Ozero @ t_a)))),
% 10.94/2.17      inference('dp-resolution', [status(thm)],
% 10.94/2.17                [zip_derived_cl476, zip_derived_cl300])).
% 10.94/2.17  thf(zip_derived_cl1793, plain, (((v_a) != (c_HOL_Ozero__class_Ozero @ t_a))),
% 10.94/2.17      inference('simplify', [status(thm)], [zip_derived_cl1692])).
% 10.94/2.17  thf(zip_derived_cl9764, plain, (~ (c_lessequals @ v_m @ v_n @ tc_nat)),
% 10.94/2.17      inference('simplify_reflect-', [status(thm)],
% 10.94/2.17                [zip_derived_cl9763, zip_derived_cl1793])).
% 10.94/2.17  thf(cls_nat__le__linear_0, axiom,
% 10.94/2.17    (( c_lessequals @ V_n @ V_m @ tc_nat ) | 
% 10.94/2.17     ( c_lessequals @ V_m @ V_n @ tc_nat ))).
% 10.94/2.17  thf(zip_derived_cl447, plain,
% 10.94/2.17      (![X0 : $i, X1 : $i]:
% 10.94/2.17         ( (c_lessequals @ X0 @ X1 @ tc_nat)
% 10.94/2.17          |  (c_lessequals @ X1 @ X0 @ tc_nat))),
% 10.94/2.17      inference('cnf', [status(esa)], [cls_nat__le__linear_0])).
% 10.94/2.17  thf(zip_derived_cl9768, plain, ( (c_lessequals @ v_n @ v_m @ tc_nat)),
% 10.94/2.17      inference('sup+', [status(thm)], [zip_derived_cl9764, zip_derived_cl447])).
% 10.94/2.17  thf(zip_derived_cl9779, plain, ($false),
% 10.94/2.17      inference('demod', [status(thm)], [zip_derived_cl459, zip_derived_cl9768])).
% 10.94/2.17  
% 10.94/2.17  % SZS output end Refutation
% 10.94/2.17  
% 10.94/2.17  
% 10.94/2.17  % Terminating...
% 10.94/2.24  % Runner terminated.
% 10.94/2.25  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------