TSTP Solution File: ANA010-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ANA010-1 : 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.bSkAiMpuuF true

% Computer : n026.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 17:25:53 EDT 2023

% Result   : Unsatisfiable 76.76s 11.60s
% Output   : Refutation 76.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ANA010-1 : 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.bSkAiMpuuF true
% 0.13/0.34  % Computer : n026.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
% 0.13/0.35  % DateTime : Fri Aug 25 18:54:33 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/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
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 76.76/11.60  % Solved by fo/fo6_bce.sh.
% 76.76/11.60  % BCE start: 2788
% 76.76/11.60  % BCE eliminated: 331
% 76.76/11.60  % PE start: 2457
% 76.76/11.60  logic: eq
% 76.76/11.60  % PE eliminated: -98
% 76.76/11.60  % done 8052 iterations in 10.881s
% 76.76/11.60  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 76.76/11.60  % SZS output start Refutation
% 76.76/11.60  thf(v_f_type, type, v_f: $i > $i).
% 76.76/11.60  thf(v_g_type, type, v_g: $i > $i).
% 76.76/11.60  thf(class_LOrder_Olorder_type, type, class_LOrder_Olorder: $i > $o).
% 76.76/11.60  thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs: 
% 76.76/11.60      $i > $o).
% 76.76/11.60  thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 76.76/11.60  thf(v_c_type, type, v_c: $i).
% 76.76/11.60  thf(v_x_type, type, v_x: $i > $i).
% 76.76/11.60  thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 76.76/11.60  thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 76.76/11.60  thf(t_b_type, type, t_b: $i).
% 76.76/11.60  thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 76.76/11.60  thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom: 
% 76.76/11.60      $i > $o).
% 76.76/11.60  thf(c_0_type, type, c_0: $i).
% 76.76/11.60  thf(clsrel_Ring__and__Field_Oordered__idom_50, axiom,
% 76.76/11.60    (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) | 
% 76.76/11.60     ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 76.76/11.60  thf(zip_derived_cl2462, plain,
% 76.76/11.60      (![X0 : $i]:
% 76.76/11.60         (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 76.76/11.60          |  (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 76.76/11.60      inference('cnf', [status(esa)],
% 76.76/11.60                [clsrel_Ring__and__Field_Oordered__idom_50])).
% 76.76/11.60  thf(clsrel_Ring__and__Field_Oordered__idom_34, axiom,
% 76.76/11.60    (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) | 
% 76.76/11.60     ( class_LOrder_Olorder @ T ))).
% 76.76/11.60  thf(zip_derived_cl2444, plain,
% 76.76/11.60      (![X0 : $i]:
% 76.76/11.60         (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 76.76/11.60          |  (class_LOrder_Olorder @ X0))),
% 76.76/11.60      inference('cnf', [status(esa)],
% 76.76/11.60                [clsrel_Ring__and__Field_Oordered__idom_34])).
% 76.76/11.60  thf(clsrel_LOrder_Olorder_2, axiom,
% 76.76/11.60    (( ~( class_LOrder_Olorder @ T ) ) | ( class_Orderings_Oorder @ T ))).
% 76.76/11.60  thf(zip_derived_cl1877, plain,
% 76.76/11.60      (![X0 : $i]:
% 76.76/11.60         (~ (class_LOrder_Olorder @ X0) |  (class_Orderings_Oorder @ X0))),
% 76.76/11.60      inference('cnf', [status(esa)], [clsrel_LOrder_Olorder_2])).
% 76.76/11.60  thf(zip_derived_cl27617, plain,
% 76.76/11.60      (![X0 : $i]:
% 76.76/11.60         (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 76.76/11.60          |  (class_Orderings_Oorder @ X0))),
% 76.76/11.60      inference('s_sup-', [status(thm)],
% 76.76/11.60                [zip_derived_cl2444, zip_derived_cl1877])).
% 76.76/11.60  thf(cls_conjecture_1, conjecture,
% 76.76/11.60    (~( c_lessequals @
% 76.76/11.60        ( v_f @ V_U ) @ ( c_times @ v_c @ ( v_g @ V_U ) @ t_b ) @ t_b ))).
% 76.76/11.60  thf(zf_stmt_0, negated_conjecture,
% 76.76/11.60    (c_lessequals @
% 76.76/11.60     ( v_f @ V_U ) @ ( c_times @ v_c @ ( v_g @ V_U ) @ t_b ) @ t_b),
% 76.76/11.60    inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 76.76/11.60  thf(zip_derived_cl2785, plain,
% 76.76/11.60      (![X0 : $i]:
% 76.76/11.60          (c_lessequals @ (v_f @ X0) @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b)),
% 76.76/11.60      inference('cnf', [status(esa)], [zf_stmt_0])).
% 76.76/11.60  thf(cls_Orderings_Oorder__class_Oorder__trans_0, axiom,
% 76.76/11.60    (( ~( class_Orderings_Oorder @ T_a ) ) | 
% 76.76/11.60     ( ~( c_lessequals @ V_y @ V_z @ T_a ) ) | 
% 76.76/11.60     ( ~( c_lessequals @ V_x @ V_y @ T_a ) ) | 
% 76.76/11.60     ( c_lessequals @ V_x @ V_z @ T_a ))).
% 76.76/11.60  thf(zip_derived_cl2780, plain,
% 76.76/11.60      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 76.76/11.60         (~ (class_Orderings_Oorder @ X0)
% 76.76/11.60          | ~ (c_lessequals @ X1 @ X2 @ X0)
% 76.76/11.60          | ~ (c_lessequals @ X3 @ X1 @ X0)
% 76.76/11.60          |  (c_lessequals @ X3 @ X2 @ X0))),
% 76.76/11.60      inference('cnf', [status(esa)],
% 76.76/11.60                [cls_Orderings_Oorder__class_Oorder__trans_0])).
% 76.76/11.60  thf(zip_derived_cl53720, plain,
% 76.76/11.60      (![X0 : $i, X1 : $i]:
% 76.76/11.60         (~ (class_Orderings_Oorder @ t_b)
% 76.76/11.60          | ~ (c_lessequals @ X1 @ (v_f @ X0) @ t_b)
% 76.76/11.60          |  (c_lessequals @ X1 @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b))),
% 76.76/11.60      inference('s_sup-', [status(thm)],
% 76.76/11.60                [zip_derived_cl2785, zip_derived_cl2780])).
% 76.76/11.60  thf(zip_derived_cl63383, plain,
% 76.76/11.60      (![X0 : $i, X1 : $i]:
% 76.76/11.60         (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 76.76/11.60          | ~ (c_lessequals @ X1 @ (v_f @ X0) @ t_b)
% 76.76/11.60          |  (c_lessequals @ X1 @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b))),
% 76.76/11.60      inference('s_sup-', [status(thm)],
% 76.76/11.60                [zip_derived_cl27617, zip_derived_cl53720])).
% 76.76/11.60  thf(tfree_tcs, conjecture,
% 76.76/11.60    (~( class_Ring__and__Field_Oordered__idom @ t_b ))).
% 76.76/11.60  thf(zf_stmt_1, negated_conjecture,
% 76.76/11.60    (class_Ring__and__Field_Oordered__idom @ t_b),
% 76.76/11.60    inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 76.76/11.60  thf(zip_derived_cl2787, plain,
% 76.76/11.60      ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 76.76/11.60      inference('cnf', [status(esa)], [zf_stmt_1])).
% 76.76/11.60  thf(zip_derived_cl63384, plain,
% 76.76/11.60      (![X0 : $i, X1 : $i]:
% 76.76/11.60         (~ (c_lessequals @ X1 @ (v_f @ X0) @ t_b)
% 76.76/11.60          |  (c_lessequals @ X1 @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b))),
% 76.76/11.60      inference('demod', [status(thm)],
% 76.76/11.60                [zip_derived_cl63383, zip_derived_cl2787])).
% 76.76/11.60  thf(cls_OrderedGroup_Oabs__of__nonneg_0, axiom,
% 76.76/11.60    (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) | 
% 76.76/11.60     ( ~( c_lessequals @ c_0 @ V_y @ T_a ) ) | 
% 76.76/11.60     ( ( c_HOL_Oabs @ V_y @ T_a ) = ( V_y ) ))).
% 76.76/11.60  thf(zip_derived_cl1076, plain,
% 76.76/11.60      (![X0 : $i, X1 : $i]:
% 76.76/11.60         (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 76.76/11.60          | ~ (c_lessequals @ c_0 @ X1 @ X0)
% 76.76/11.60          | ((c_HOL_Oabs @ X1 @ X0) = (X1)))),
% 76.76/11.60      inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__of__nonneg_0])).
% 76.76/11.60  thf(zip_derived_cl63396, plain,
% 76.76/11.60      (![X0 : $i]:
% 76.76/11.60         (~ (c_lessequals @ c_0 @ (v_f @ X0) @ t_b)
% 76.76/11.60          | ~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b)
% 76.76/11.60          | ((c_HOL_Oabs @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b)
% 76.76/11.60              = (c_times @ v_c @ (v_g @ X0) @ t_b)))),
% 76.76/11.60      inference('s_sup-', [status(thm)],
% 76.76/11.60                [zip_derived_cl63384, zip_derived_cl1076])).
% 76.76/11.60  thf(cls_conjecture_0, conjecture,
% 76.76/11.60    (~( c_lessequals @ c_0 @ ( v_f @ V_U ) @ t_b ))).
% 76.76/11.60  thf(zf_stmt_2, negated_conjecture,
% 76.76/11.60    (c_lessequals @ c_0 @ ( v_f @ V_U ) @ t_b),
% 76.76/11.60    inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 76.76/11.60  thf(zip_derived_cl2784, plain,
% 76.76/11.60      (![X0 : $i]:  (c_lessequals @ c_0 @ (v_f @ X0) @ t_b)),
% 76.76/11.60      inference('cnf', [status(esa)], [zf_stmt_2])).
% 76.76/11.60  thf(zip_derived_cl63405, plain,
% 76.76/11.60      (![X0 : $i]:
% 76.76/11.60         (~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b)
% 76.76/11.60          | ((c_HOL_Oabs @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b)
% 76.76/11.60              = (c_times @ v_c @ (v_g @ X0) @ t_b)))),
% 76.76/11.60      inference('demod', [status(thm)],
% 76.76/11.60                [zip_derived_cl63396, zip_derived_cl2784])).
% 76.76/11.60  thf(zip_derived_cl63464, plain,
% 76.76/11.60      (![X0 : $i]:
% 76.76/11.60         (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 76.76/11.60          | ((c_HOL_Oabs @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b)
% 76.76/11.60              = (c_times @ v_c @ (v_g @ X0) @ t_b)))),
% 76.76/11.60      inference('s_sup-', [status(thm)],
% 76.76/11.60                [zip_derived_cl2462, zip_derived_cl63405])).
% 76.76/11.60  thf(zip_derived_cl2787, plain,
% 76.76/11.60      ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 76.76/11.60      inference('cnf', [status(esa)], [zf_stmt_1])).
% 76.76/11.60  thf(zip_derived_cl63466, plain,
% 76.76/11.60      (![X0 : $i]:
% 76.76/11.60         ((c_HOL_Oabs @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b)
% 76.76/11.60           = (c_times @ v_c @ (v_g @ X0) @ t_b))),
% 76.76/11.60      inference('demod', [status(thm)],
% 76.76/11.60                [zip_derived_cl63464, zip_derived_cl2787])).
% 76.76/11.60  thf(cls_Ring__and__Field_Oabs__mult_0, axiom,
% 76.76/11.60    (( ~( class_Ring__and__Field_Oordered__idom @ T_a ) ) | 
% 76.76/11.60     ( ( c_HOL_Oabs @ ( c_times @ V_a @ V_b @ T_a ) @ T_a ) =
% 76.76/11.60       ( c_times @
% 76.76/11.60         ( c_HOL_Oabs @ V_a @ T_a ) @ ( c_HOL_Oabs @ V_b @ T_a ) @ T_a ) ))).
% 76.76/11.60  thf(zip_derived_cl2781, plain,
% 76.76/11.60      (![X0 : $i, X1 : $i, X2 : $i]:
% 76.76/11.60         (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 76.76/11.60          | ((c_HOL_Oabs @ (c_times @ X1 @ X2 @ X0) @ X0)
% 76.76/11.60              = (c_times @ (c_HOL_Oabs @ X1 @ X0) @ (c_HOL_Oabs @ X2 @ X0) @ X0)))),
% 76.76/11.60      inference('cnf', [status(esa)], [cls_Ring__and__Field_Oabs__mult_0])).
% 76.76/11.60  thf(cls_conjecture_2, conjecture,
% 76.76/11.60    (c_lessequals @
% 76.76/11.60     ( v_f @ ( v_x @ V_U ) ) @ 
% 76.76/11.60     ( c_times @ V_U @ ( c_HOL_Oabs @ ( v_g @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @ 
% 76.76/11.60     t_b)).
% 76.76/11.60  thf(zf_stmt_3, negated_conjecture,
% 76.76/11.60    (~( c_lessequals @
% 76.76/11.60        ( v_f @ ( v_x @ V_U ) ) @ 
% 76.76/11.60        ( c_times @ V_U @ ( c_HOL_Oabs @ ( v_g @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @ 
% 76.76/11.60        t_b )),
% 76.76/11.60    inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 76.76/11.60  thf(zip_derived_cl2786, plain,
% 76.76/11.60      (![X0 : $i]:
% 76.76/11.60         ~ (c_lessequals @ (v_f @ (v_x @ X0)) @ 
% 76.76/11.60            (c_times @ X0 @ (c_HOL_Oabs @ (v_g @ (v_x @ X0)) @ t_b) @ t_b) @ 
% 76.76/11.60            t_b)),
% 76.76/11.60      inference('cnf', [status(esa)], [zf_stmt_3])).
% 76.76/11.60  thf(zip_derived_cl53851, plain,
% 76.76/11.60      (![X0 : $i]:
% 76.76/11.60         (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 76.76/11.60          | ~ (c_lessequals @ (v_f @ (v_x @ (c_HOL_Oabs @ X0 @ t_b))) @ 
% 76.76/11.60               (c_HOL_Oabs @ 
% 76.76/11.60                (c_times @ X0 @ (v_g @ (v_x @ (c_HOL_Oabs @ X0 @ t_b))) @ t_b) @ 
% 76.76/11.60                t_b) @ 
% 76.76/11.60               t_b))),
% 76.76/11.60      inference('s_sup-', [status(thm)],
% 76.76/11.60                [zip_derived_cl2781, zip_derived_cl2786])).
% 76.76/11.60  thf(zip_derived_cl2787, plain,
% 76.76/11.60      ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 76.76/11.60      inference('cnf', [status(esa)], [zf_stmt_1])).
% 76.76/11.60  thf(zip_derived_cl53996, plain,
% 76.76/11.60      (![X0 : $i]:
% 76.76/11.60         ~ (c_lessequals @ (v_f @ (v_x @ (c_HOL_Oabs @ X0 @ t_b))) @ 
% 76.76/11.60            (c_HOL_Oabs @ 
% 76.76/11.60             (c_times @ X0 @ (v_g @ (v_x @ (c_HOL_Oabs @ X0 @ t_b))) @ t_b) @ 
% 76.76/11.60             t_b) @ 
% 76.76/11.60            t_b)),
% 76.76/11.60      inference('demod', [status(thm)],
% 76.76/11.60                [zip_derived_cl53851, zip_derived_cl2787])).
% 76.76/11.60  thf(zip_derived_cl63504, plain,
% 76.76/11.60      (~ (c_lessequals @ (v_f @ (v_x @ (c_HOL_Oabs @ v_c @ t_b))) @ 
% 76.76/11.60          (c_times @ v_c @ (v_g @ (v_x @ (c_HOL_Oabs @ v_c @ t_b))) @ t_b) @ 
% 76.76/11.60          t_b)),
% 76.76/11.60      inference('s_sup-', [status(thm)],
% 76.76/11.60                [zip_derived_cl63466, zip_derived_cl53996])).
% 76.76/11.60  thf(zip_derived_cl2785, plain,
% 76.76/11.60      (![X0 : $i]:
% 76.76/11.60          (c_lessequals @ (v_f @ X0) @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b)),
% 76.76/11.60      inference('cnf', [status(esa)], [zf_stmt_0])).
% 76.76/11.60  thf(zip_derived_cl63511, plain, ($false),
% 76.76/11.60      inference('demod', [status(thm)],
% 76.76/11.60                [zip_derived_cl63504, zip_derived_cl2785])).
% 76.76/11.60  
% 76.76/11.60  % SZS output end Refutation
% 76.76/11.60  
% 76.76/11.60  
% 76.76/11.60  % Terminating...
% 77.39/11.71  % Runner terminated.
% 77.39/11.72  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------