TSTP Solution File: ANA020-2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ANA020-2 : 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.Gw43LuLdbk true

% Computer : n019.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 : Wed Aug 30 17:25:57 EDT 2023

% Result   : Unsatisfiable 0.23s 0.76s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ANA020-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Gw43LuLdbk true
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Fri Aug 25 18:43:13 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.36  % Number of cores: 8
% 0.22/0.36  % Python version: Python 3.6.8
% 0.22/0.36  % Running in FO mode
% 0.23/0.69  % Total configuration time : 435
% 0.23/0.69  % Estimated wc time : 1092
% 0.23/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76  % Solved by fo/fo6_bce.sh.
% 0.23/0.76  % BCE start: 12
% 0.23/0.76  % BCE eliminated: 0
% 0.23/0.76  % PE start: 12
% 0.23/0.76  logic: eq
% 0.23/0.76  % PE eliminated: 5
% 0.23/0.76  % done 8 iterations in 0.013s
% 0.23/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.23/0.76  % SZS output start Refutation
% 0.23/0.76  thf(t_a_type, type, t_a: $i).
% 0.23/0.76  thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 0.23/0.76  thf(c_0_type, type, c_0: $i).
% 0.23/0.76  thf(v_h_type, type, v_h: $i > $i).
% 0.23/0.76  thf(v_c_type, type, v_c: $i).
% 0.23/0.76  thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 0.23/0.76  thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 0.23/0.76  thf(class_Ring__and__Field_Opordered__cancel__semiring_type, type, class_Ring__and__Field_Opordered__cancel__semiring: 
% 0.23/0.76      $i > $o).
% 0.23/0.76  thf(v_x_type, type, v_x: $i).
% 0.23/0.76  thf(v_f_type, type, v_f: $i > $i).
% 0.23/0.76  thf(c_less_type, type, c_less: $i > $i > $i > $o).
% 0.23/0.76  thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs: 
% 0.23/0.76      $i > $o).
% 0.23/0.76  thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.23/0.76  thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom: 
% 0.23/0.76      $i > $o).
% 0.23/0.76  thf(tfree_tcs, conjecture,
% 0.23/0.76    (~( class_Ring__and__Field_Oordered__idom @ t_a ))).
% 0.23/0.76  thf(zf_stmt_0, negated_conjecture,
% 0.23/0.76    (class_Ring__and__Field_Oordered__idom @ t_a),
% 0.23/0.76    inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 0.23/0.76  thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 0.23/0.76      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.23/0.76  thf(clsrel_Ring__and__Field_Oordered__idom_40, axiom,
% 0.23/0.76    (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) | 
% 0.23/0.76     ( class_Ring__and__Field_Opordered__cancel__semiring @ T ))).
% 0.23/0.76  thf(zip_derived_cl9, plain,
% 0.23/0.76      (![X0 : $i]:
% 0.23/0.76         (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.23/0.76          |  (class_Ring__and__Field_Opordered__cancel__semiring @ X0))),
% 0.23/0.76      inference('cnf', [status(esa)],
% 0.23/0.76                [clsrel_Ring__and__Field_Oordered__idom_40])).
% 0.23/0.76  thf(cls_Ring__and__Field_Omult__nonneg__nonneg_0, axiom,
% 0.23/0.76    (( ~( class_Ring__and__Field_Opordered__cancel__semiring @ T_a ) ) | 
% 0.23/0.76     ( ~( c_lessequals @ c_0 @ V_b @ T_a ) ) | 
% 0.23/0.76     ( ~( c_lessequals @ c_0 @ V_a @ T_a ) ) | 
% 0.23/0.76     ( c_lessequals @ c_0 @ ( c_times @ V_a @ V_b @ T_a ) @ T_a ))).
% 0.23/0.76  thf(zip_derived_cl8, plain,
% 0.23/0.76      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.23/0.76         (~ (class_Ring__and__Field_Opordered__cancel__semiring @ X0)
% 0.23/0.76          | ~ (c_lessequals @ c_0 @ X1 @ X0)
% 0.23/0.76          | ~ (c_lessequals @ c_0 @ X2 @ X0)
% 0.23/0.76          |  (c_lessequals @ c_0 @ (c_times @ X2 @ X1 @ X0) @ X0))),
% 0.23/0.76      inference('cnf', [status(esa)],
% 0.23/0.76                [cls_Ring__and__Field_Omult__nonneg__nonneg_0])).
% 0.23/0.76  thf(zip_derived_cl52, plain,
% 0.23/0.76      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.23/0.76         (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.23/0.76          |  (c_lessequals @ c_0 @ (c_times @ X2 @ X1 @ X0) @ X0)
% 0.23/0.76          | ~ (c_lessequals @ c_0 @ X2 @ X0)
% 0.23/0.76          | ~ (c_lessequals @ c_0 @ X1 @ X0))),
% 0.23/0.76      inference('dp-resolution', [status(thm)],
% 0.23/0.76                [zip_derived_cl9, zip_derived_cl8])).
% 0.23/0.76  thf(zip_derived_cl58, plain,
% 0.23/0.76      (![X0 : $i, X1 : $i]:
% 0.23/0.76         (~ (c_lessequals @ c_0 @ X0 @ t_a)
% 0.23/0.76          | ~ (c_lessequals @ c_0 @ X1 @ t_a)
% 0.23/0.76          |  (c_lessequals @ c_0 @ (c_times @ X1 @ X0 @ t_a) @ t_a))),
% 0.23/0.76      inference('dp-resolution', [status(thm)],
% 0.23/0.76                [zip_derived_cl4, zip_derived_cl52])).
% 0.23/0.76  thf(cls_conjecture_4, conjecture,
% 0.23/0.76    (c_lessequals @
% 0.23/0.76     ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_a ) @ 
% 0.23/0.76     ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_h @ v_x ) @ t_a ) @ t_a ) @ t_a)).
% 0.23/0.76  thf(zf_stmt_1, negated_conjecture,
% 0.23/0.76    (~( c_lessequals @
% 0.23/0.76        ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_a ) @ 
% 0.23/0.76        ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_h @ v_x ) @ t_a ) @ t_a ) @ t_a )),
% 0.23/0.76    inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.23/0.76  thf(zip_derived_cl3, plain,
% 0.23/0.76      (~ (c_lessequals @ (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @ 
% 0.23/0.76          (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a) @ t_a)),
% 0.23/0.76      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.23/0.76  thf(cls_conjecture_3, conjecture, (( v_x ) != ( c_0 ))).
% 0.23/0.76  thf(zf_stmt_2, negated_conjecture, (( v_x ) = ( c_0 )),
% 0.23/0.76    inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.23/0.76  thf(zip_derived_cl2, plain, (((v_x) = (c_0))),
% 0.23/0.76      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.23/0.76  thf(cls_conjecture_0, conjecture, (( v_f @ c_0 ) != ( c_0 ))).
% 0.23/0.76  thf(zf_stmt_3, negated_conjecture, (( v_f @ c_0 ) = ( c_0 )),
% 0.23/0.76    inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.23/0.76  thf(zip_derived_cl0, plain, (((v_f @ c_0) = (c_0))),
% 0.23/0.76      inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.23/0.76  thf(zip_derived_cl2, plain, (((v_x) = (c_0))),
% 0.23/0.76      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.23/0.76  thf(zip_derived_cl62, plain,
% 0.23/0.76      (~ (c_lessequals @ (c_HOL_Oabs @ c_0 @ t_a) @ 
% 0.23/0.76          (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ c_0) @ t_a) @ t_a) @ t_a)),
% 0.23/0.76      inference('demod', [status(thm)],
% 0.23/0.76                [zip_derived_cl3, zip_derived_cl2, zip_derived_cl0, 
% 0.23/0.76                 zip_derived_cl2])).
% 0.23/0.76  thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 0.23/0.76      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.23/0.76  thf(clsrel_Ring__and__Field_Oordered__idom_50, axiom,
% 0.23/0.76    (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) | 
% 0.23/0.76     ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 0.23/0.76  thf(zip_derived_cl11, plain,
% 0.23/0.76      (![X0 : $i]:
% 0.23/0.76         (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.23/0.76          |  (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 0.23/0.76      inference('cnf', [status(esa)],
% 0.23/0.76                [clsrel_Ring__and__Field_Oordered__idom_50])).
% 0.23/0.76  thf(cls_OrderedGroup_Oabs__eq__0_1, axiom,
% 0.23/0.76    (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) | 
% 0.23/0.76     ( ( c_HOL_Oabs @ c_0 @ T_a ) = ( c_0 ) ))).
% 0.23/0.76  thf(zip_derived_cl5, plain,
% 0.23/0.76      (![X0 : $i]:
% 0.23/0.76         (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.23/0.76          | ((c_HOL_Oabs @ c_0 @ X0) = (c_0)))),
% 0.23/0.76      inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__eq__0_1])).
% 0.23/0.76  thf(zip_derived_cl53, plain,
% 0.23/0.76      (![X0 : $i]:
% 0.23/0.76         (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.23/0.76          | ((c_HOL_Oabs @ c_0 @ X0) = (c_0)))),
% 0.23/0.76      inference('dp-resolution', [status(thm)],
% 0.23/0.76                [zip_derived_cl11, zip_derived_cl5])).
% 0.23/0.76  thf(zip_derived_cl59, plain, (((c_HOL_Oabs @ c_0 @ t_a) = (c_0))),
% 0.23/0.76      inference('dp-resolution', [status(thm)],
% 0.23/0.76                [zip_derived_cl4, zip_derived_cl53])).
% 0.23/0.76  thf(zip_derived_cl63, plain,
% 0.23/0.76      (~ (c_lessequals @ c_0 @ 
% 0.23/0.76          (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ c_0) @ t_a) @ t_a) @ t_a)),
% 0.23/0.76      inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl59])).
% 0.23/0.76  thf(zip_derived_cl65, plain,
% 0.23/0.76      ((~ (c_lessequals @ c_0 @ v_c @ t_a)
% 0.23/0.76        | ~ (c_lessequals @ c_0 @ (c_HOL_Oabs @ (v_h @ c_0) @ t_a) @ t_a))),
% 0.23/0.76      inference('s_sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl63])).
% 0.23/0.76  thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 0.23/0.76      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.23/0.76  thf(clsrel_Ring__and__Field_Oordered__idom_44, axiom,
% 0.23/0.76    (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) | 
% 0.23/0.76     ( class_Orderings_Oorder @ T ))).
% 0.23/0.76  thf(zip_derived_cl10, plain,
% 0.23/0.76      (![X0 : $i]:
% 0.23/0.76         (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.23/0.76          |  (class_Orderings_Oorder @ X0))),
% 0.23/0.76      inference('cnf', [status(esa)],
% 0.23/0.76                [clsrel_Ring__and__Field_Oordered__idom_44])).
% 0.23/0.76  thf(cls_conjecture_1, conjecture, (~( c_less @ c_0 @ v_c @ t_a ))).
% 0.23/0.76  thf(zf_stmt_4, negated_conjecture, (c_less @ c_0 @ v_c @ t_a),
% 0.23/0.76    inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.23/0.76  thf(zip_derived_cl1, plain, ( (c_less @ c_0 @ v_c @ t_a)),
% 0.23/0.76      inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.23/0.76  thf(cls_Orderings_Oorder__less__imp__le_0, axiom,
% 0.23/0.76    (( ~( class_Orderings_Oorder @ T_a ) ) | 
% 0.23/0.76     ( ~( c_less @ V_x @ V_y @ T_a ) ) | ( c_lessequals @ V_x @ V_y @ T_a ))).
% 0.23/0.76  thf(zip_derived_cl7, plain,
% 0.23/0.76      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.23/0.76         (~ (class_Orderings_Oorder @ X0)
% 0.23/0.76          | ~ (c_less @ X1 @ X2 @ X0)
% 0.23/0.76          |  (c_lessequals @ X1 @ X2 @ X0))),
% 0.23/0.76      inference('cnf', [status(esa)], [cls_Orderings_Oorder__less__imp__le_0])).
% 0.23/0.76  thf(zip_derived_cl50, plain,
% 0.23/0.76      (( (c_lessequals @ c_0 @ v_c @ t_a) | ~ (class_Orderings_Oorder @ t_a))),
% 0.23/0.76      inference('dp-resolution', [status(thm)],
% 0.23/0.76                [zip_derived_cl1, zip_derived_cl7])).
% 0.23/0.76  thf(zip_derived_cl51, plain,
% 0.23/0.76      ((~ (class_Ring__and__Field_Oordered__idom @ t_a)
% 0.23/0.76        |  (c_lessequals @ c_0 @ v_c @ t_a))),
% 0.23/0.76      inference('dp-resolution', [status(thm)],
% 0.23/0.76                [zip_derived_cl10, zip_derived_cl50])).
% 0.23/0.76  thf(zip_derived_cl57, plain,
% 0.23/0.76      ((((t_a) != (t_a)) |  (c_lessequals @ c_0 @ v_c @ t_a))),
% 0.23/0.76      inference('dp-resolution', [status(thm)],
% 0.23/0.76                [zip_derived_cl4, zip_derived_cl51])).
% 0.23/0.76  thf(zip_derived_cl61, plain, ( (c_lessequals @ c_0 @ v_c @ t_a)),
% 0.23/0.76      inference('simplify', [status(thm)], [zip_derived_cl57])).
% 0.23/0.76  thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 0.23/0.76      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.23/0.76  thf(zip_derived_cl11, plain,
% 0.23/0.76      (![X0 : $i]:
% 0.23/0.76         (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.23/0.76          |  (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 0.23/0.76      inference('cnf', [status(esa)],
% 0.23/0.76                [clsrel_Ring__and__Field_Oordered__idom_50])).
% 0.23/0.76  thf(cls_OrderedGroup_Oabs__ge__zero_0, axiom,
% 0.23/0.76    (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) | 
% 0.23/0.76     ( c_lessequals @ c_0 @ ( c_HOL_Oabs @ V_a @ T_a ) @ T_a ))).
% 0.23/0.76  thf(zip_derived_cl6, plain,
% 0.23/0.76      (![X0 : $i, X1 : $i]:
% 0.23/0.76         (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.23/0.76          |  (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 0.23/0.76      inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__ge__zero_0])).
% 0.23/0.76  thf(zip_derived_cl54, plain,
% 0.23/0.76      (![X0 : $i, X1 : $i]:
% 0.23/0.76         (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.23/0.76          |  (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 0.23/0.76      inference('dp-resolution', [status(thm)],
% 0.23/0.76                [zip_derived_cl11, zip_derived_cl6])).
% 0.23/0.76  thf(zip_derived_cl60, plain,
% 0.23/0.76      (![X0 : $i]:  (c_lessequals @ c_0 @ (c_HOL_Oabs @ X0 @ t_a) @ t_a)),
% 0.23/0.76      inference('dp-resolution', [status(thm)],
% 0.23/0.76                [zip_derived_cl4, zip_derived_cl54])).
% 0.23/0.76  thf(zip_derived_cl66, plain, ($false),
% 0.23/0.76      inference('demod', [status(thm)],
% 0.23/0.76                [zip_derived_cl65, zip_derived_cl61, zip_derived_cl60])).
% 0.23/0.76  
% 0.23/0.76  % SZS output end Refutation
% 0.23/0.76  
% 0.23/0.76  
% 0.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76  % Terminating...
% 0.23/0.80  % Runner terminated.
% 0.23/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------