TSTP Solution File: ANA025-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA025-1 : 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.OTcTf7TOWY 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 : Wed Aug 30 17:25:59 EDT 2023
% Result : Unsatisfiable 113.74s 27.00s
% Output : Refutation 113.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : ANA025-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OTcTf7TOWY true
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 18:42:06 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.19/0.35 % Running portfolio for 300 s
% 0.19/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.19/0.62 % Total configuration time : 435
% 0.19/0.62 % Estimated wc time : 1092
% 0.19/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.77/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.77/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.77/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.77/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.77/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.89/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.89/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 113.74/27.00 % Solved by fo/fo6_bce.sh.
% 113.74/27.00 % BCE start: 2809
% 113.74/27.00 % BCE eliminated: 331
% 113.74/27.00 % PE start: 2478
% 113.74/27.00 logic: eq
% 113.74/27.00 % PE eliminated: -98
% 113.74/27.00 % done 9954 iterations in 26.166s
% 113.74/27.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 113.74/27.00 % SZS output start Refutation
% 113.74/27.00 thf(tc_IntDef_Oint_type, type, tc_IntDef_Oint: $i).
% 113.74/27.00 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 113.74/27.00 thf(class_OrderedGroup_Oab__group__add_type, type, class_OrderedGroup_Oab__group__add:
% 113.74/27.00 $i > $o).
% 113.74/27.00 thf(v_k_type, type, v_k: $i > $i).
% 113.74/27.00 thf(class_Orderings_Olinorder_type, type, class_Orderings_Olinorder: $i > $o).
% 113.74/27.00 thf(c_Orderings_Omax_type, type, c_Orderings_Omax: $i > $i > $i > $i).
% 113.74/27.00 thf(t_b_type, type, t_b: $i).
% 113.74/27.00 thf(c_plus_type, type, c_plus: $i > $i > $i > $i).
% 113.74/27.00 thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs:
% 113.74/27.00 $i > $o).
% 113.74/27.00 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 113.74/27.00 thf(class_OrderedGroup_Olordered__ab__group_type, type, class_OrderedGroup_Olordered__ab__group:
% 113.74/27.00 $i > $o).
% 113.74/27.00 thf(c_uminus_type, type, c_uminus: $i > $i > $i).
% 113.74/27.00 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 113.74/27.00 thf(v_f_type, type, v_f: $i > $i).
% 113.74/27.00 thf(c_IntDef_Oof__int_type, type, c_IntDef_Oof__int: $i > $i > $i).
% 113.74/27.00 thf(class_OrderedGroup_Ocancel__semigroup__add_type, type, class_OrderedGroup_Ocancel__semigroup__add:
% 113.74/27.00 $i > $o).
% 113.74/27.00 thf(c_less_type, type, c_less: $i > $i > $i > $o).
% 113.74/27.00 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 113.74/27.00 thf(c_IntDef_Oint_type, type, c_IntDef_Oint: $i > $i).
% 113.74/27.00 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 113.74/27.00 $i > $o).
% 113.74/27.00 thf(v_x_type, type, v_x: $i).
% 113.74/27.00 thf(c_0_type, type, c_0: $i).
% 113.74/27.00 thf(v_g_type, type, v_g: $i > $i).
% 113.74/27.00 thf(clsrel_Ring__and__Field_Oordered__idom_50, axiom,
% 113.74/27.00 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 113.74/27.00 ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 113.74/27.00 thf(zip_derived_cl2462, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 113.74/27.00 thf(clsrel_Ring__and__Field_Oordered__idom_44, axiom,
% 113.74/27.00 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 113.74/27.00 ( class_Orderings_Oorder @ T ))).
% 113.74/27.00 thf(zip_derived_cl2455, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_Orderings_Oorder @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_44])).
% 113.74/27.00 thf(clsrel_Ring__and__Field_Oordered__idom_33, axiom,
% 113.74/27.00 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 113.74/27.00 ( class_Orderings_Olinorder @ T ))).
% 113.74/27.00 thf(zip_derived_cl2443, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_Orderings_Olinorder @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_33])).
% 113.74/27.00 thf(cls_Orderings_Olinorder__not__le_0, axiom,
% 113.74/27.00 (( ~( class_Orderings_Olinorder @ T_a ) ) | ( c_less @ V_y @ V_x @ T_a ) |
% 113.74/27.00 ( c_lessequals @ V_x @ V_y @ T_a ))).
% 113.74/27.00 thf(zip_derived_cl2800, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 113.74/27.00 (~ (class_Orderings_Olinorder @ X0)
% 113.74/27.00 | (c_less @ X1 @ X2 @ X0)
% 113.74/27.00 | (c_lessequals @ X2 @ X1 @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_Orderings_Olinorder__not__le_0])).
% 113.74/27.00 thf(zip_derived_cl2462, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 113.74/27.00 thf(cls_OrderedGroup_Oabs__ge__zero_0, axiom,
% 113.74/27.00 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 113.74/27.00 ( c_lessequals @ c_0 @ ( c_HOL_Oabs @ V_a @ T_a ) @ T_a ))).
% 113.74/27.00 thf(zip_derived_cl1070, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 113.74/27.00 | (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__ge__zero_0])).
% 113.74/27.00 thf(zip_derived_cl2443, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_Orderings_Olinorder @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_33])).
% 113.74/27.00 thf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2, axiom,
% 113.74/27.00 (( ~( class_Orderings_Olinorder @ T_b ) ) |
% 113.74/27.00 ( ~( c_lessequals @ V_y @ V_z @ T_b ) ) |
% 113.74/27.00 ( ~( c_lessequals @ V_x @ V_z @ T_b ) ) |
% 113.74/27.00 ( c_lessequals @ ( c_Orderings_Omax @ V_x @ V_y @ T_b ) @ V_z @ T_b ))).
% 113.74/27.00 thf(zip_derived_cl1159, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.74/27.00 (~ (class_Orderings_Olinorder @ X0)
% 113.74/27.00 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 113.74/27.00 | ~ (c_lessequals @ X3 @ X2 @ X0)
% 113.74/27.00 | (c_lessequals @ (c_Orderings_Omax @ X3 @ X1 @ X0) @ X2 @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2])).
% 113.74/27.00 thf(cls_conjecture_3, conjecture,
% 113.74/27.00 (c_lessequals @
% 113.74/27.00 ( c_Orderings_Omax @
% 113.74/27.00 ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ c_0 @ t_b ) @
% 113.74/27.00 ( c_HOL_Oabs @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @
% 113.74/27.00 t_b)).
% 113.74/27.00 thf(zf_stmt_0, negated_conjecture,
% 113.74/27.00 (~( c_lessequals @
% 113.74/27.00 ( c_Orderings_Omax @
% 113.74/27.00 ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ c_0 @ t_b ) @
% 113.74/27.00 ( c_HOL_Oabs @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @
% 113.74/27.00 t_b )),
% 113.74/27.00 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 113.74/27.00 thf(zip_derived_cl2807, plain,
% 113.74/27.00 (~ (c_lessequals @
% 113.74/27.00 (c_Orderings_Omax @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @
% 113.74/27.00 c_0 @ t_b) @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 113.74/27.00 thf(zip_derived_cl41677, plain,
% 113.74/27.00 ((~ (c_lessequals @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 t_b)
% 113.74/27.00 | ~ (c_lessequals @ c_0 @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 t_b)
% 113.74/27.00 | ~ (class_Orderings_Olinorder @ t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl1159, zip_derived_cl2807])).
% 113.74/27.00 thf(zip_derived_cl41892, plain,
% 113.74/27.00 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | ~ (c_lessequals @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 t_b)
% 113.74/27.00 | ~ (c_lessequals @ c_0 @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2443, zip_derived_cl41677])).
% 113.74/27.00 thf(tfree_tcs, conjecture,
% 113.74/27.00 (~( class_Ring__and__Field_Oordered__idom @ t_b ))).
% 113.74/27.00 thf(zf_stmt_1, negated_conjecture,
% 113.74/27.00 (class_Ring__and__Field_Oordered__idom @ t_b),
% 113.74/27.00 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl41893, plain,
% 113.74/27.00 ((~ (c_lessequals @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 t_b)
% 113.74/27.00 | ~ (c_lessequals @ c_0 @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 t_b))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl41892, zip_derived_cl2808])).
% 113.74/27.00 thf(zip_derived_cl41894, plain,
% 113.74/27.00 ((~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b)
% 113.74/27.00 | ~ (c_lessequals @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl1070, zip_derived_cl41893])).
% 113.74/27.00 thf(zip_derived_cl41929, plain,
% 113.74/27.00 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | ~ (c_lessequals @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2462, zip_derived_cl41894])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl41930, plain,
% 113.74/27.00 (~ (c_lessequals @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 t_b)),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl41929, zip_derived_cl2808])).
% 113.74/27.00 thf(zip_derived_cl58136, plain,
% 113.74/27.00 (( (c_less @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b)
% 113.74/27.00 | ~ (class_Orderings_Olinorder @ t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2800, zip_derived_cl41930])).
% 113.74/27.00 thf(zip_derived_cl67003, plain,
% 113.74/27.00 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | (c_less @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2443, zip_derived_cl58136])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl67004, plain,
% 113.74/27.00 ( (c_less @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b)),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl67003, zip_derived_cl2808])).
% 113.74/27.00 thf(cls_Orderings_Oorder__less__imp__le_0, axiom,
% 113.74/27.00 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 113.74/27.00 ( ~( c_less @ V_x @ V_y @ T_a ) ) | ( c_lessequals @ V_x @ V_y @ T_a ))).
% 113.74/27.00 thf(zip_derived_cl2803, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 113.74/27.00 (~ (class_Orderings_Oorder @ X0)
% 113.74/27.00 | ~ (c_less @ X1 @ X2 @ X0)
% 113.74/27.00 | (c_lessequals @ X1 @ X2 @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_Orderings_Oorder__less__imp__le_0])).
% 113.74/27.00 thf(zip_derived_cl67032, plain,
% 113.74/27.00 ((~ (class_Orderings_Oorder @ t_b)
% 113.74/27.00 | (c_lessequals @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl67004, zip_derived_cl2803])).
% 113.74/27.00 thf(zip_derived_cl67050, plain,
% 113.74/27.00 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | (c_lessequals @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2455, zip_derived_cl67032])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl67053, plain,
% 113.74/27.00 ( (c_lessequals @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b)),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl67050, zip_derived_cl2808])).
% 113.74/27.00 thf(zip_derived_cl2455, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_Orderings_Oorder @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_44])).
% 113.74/27.00 thf(zip_derived_cl2455, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_Orderings_Oorder @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_44])).
% 113.74/27.00 thf(zip_derived_cl2443, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_Orderings_Olinorder @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_33])).
% 113.74/27.00 thf(zip_derived_cl2800, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 113.74/27.00 (~ (class_Orderings_Olinorder @ X0)
% 113.74/27.00 | (c_less @ X1 @ X2 @ X0)
% 113.74/27.00 | (c_lessequals @ X2 @ X1 @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_Orderings_Olinorder__not__le_0])).
% 113.74/27.00 thf(cls_conjecture_2, conjecture,
% 113.74/27.00 (c_lessequals @
% 113.74/27.00 c_0 @ ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b)).
% 113.74/27.00 thf(zf_stmt_2, negated_conjecture,
% 113.74/27.00 (~( c_lessequals @
% 113.74/27.00 c_0 @ ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b )),
% 113.74/27.00 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 113.74/27.00 thf(zip_derived_cl2806, plain,
% 113.74/27.00 (~ (c_lessequals @ c_0 @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @
% 113.74/27.00 t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_2])).
% 113.74/27.00 thf(zip_derived_cl58119, plain,
% 113.74/27.00 (( (c_less @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ c_0 @ t_b)
% 113.74/27.00 | ~ (class_Orderings_Olinorder @ t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2800, zip_derived_cl2806])).
% 113.74/27.00 thf(zip_derived_cl58207, plain,
% 113.74/27.00 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | (c_less @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ c_0 @ t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2443, zip_derived_cl58119])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl58208, plain,
% 113.74/27.00 ( (c_less @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ c_0 @ t_b)),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl58207, zip_derived_cl2808])).
% 113.74/27.00 thf(zip_derived_cl2803, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 113.74/27.00 (~ (class_Orderings_Oorder @ X0)
% 113.74/27.00 | ~ (c_less @ X1 @ X2 @ X0)
% 113.74/27.00 | (c_lessequals @ X1 @ X2 @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_Orderings_Oorder__less__imp__le_0])).
% 113.74/27.00 thf(zip_derived_cl58227, plain,
% 113.74/27.00 ((~ (class_Orderings_Oorder @ t_b)
% 113.74/27.00 | (c_lessequals @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ c_0 @
% 113.74/27.00 t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl58208, zip_derived_cl2803])).
% 113.74/27.00 thf(zip_derived_cl58409, plain,
% 113.74/27.00 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | (c_lessequals @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ c_0 @
% 113.74/27.00 t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2455, zip_derived_cl58227])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl58412, plain,
% 113.74/27.00 ( (c_lessequals @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ c_0 @ t_b)),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl58409, zip_derived_cl2808])).
% 113.74/27.00 thf(cls_Orderings_Oorder__class_Oorder__trans_0, axiom,
% 113.74/27.00 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 113.74/27.00 ( ~( c_lessequals @ V_y @ V_z @ T_a ) ) |
% 113.74/27.00 ( ~( c_lessequals @ V_x @ V_y @ T_a ) ) |
% 113.74/27.00 ( c_lessequals @ V_x @ V_z @ T_a ))).
% 113.74/27.00 thf(zip_derived_cl2802, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.74/27.00 (~ (class_Orderings_Oorder @ X0)
% 113.74/27.00 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 113.74/27.00 | ~ (c_lessequals @ X3 @ X1 @ X0)
% 113.74/27.00 | (c_lessequals @ X3 @ X2 @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [cls_Orderings_Oorder__class_Oorder__trans_0])).
% 113.74/27.00 thf(zip_derived_cl58427, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Orderings_Oorder @ t_b)
% 113.74/27.00 | ~ (c_lessequals @ X0 @
% 113.74/27.00 (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b)
% 113.74/27.00 | (c_lessequals @ X0 @ c_0 @ t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl58412, zip_derived_cl2802])).
% 113.74/27.00 thf(zip_derived_cl73807, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | ~ (c_lessequals @ X0 @
% 113.74/27.00 (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b)
% 113.74/27.00 | (c_lessequals @ X0 @ c_0 @ t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2455, zip_derived_cl58427])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl73810, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (c_lessequals @ X0 @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @
% 113.74/27.00 t_b)
% 113.74/27.00 | (c_lessequals @ X0 @ c_0 @ t_b))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl73807, zip_derived_cl2808])).
% 113.74/27.00 thf(zip_derived_cl73822, plain,
% 113.74/27.00 ( (c_lessequals @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 c_0 @ t_b)),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl67053, zip_derived_cl73810])).
% 113.74/27.00 thf(cls_OrderedGroup_Oabs__le__zero__iff_0, axiom,
% 113.74/27.00 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 113.74/27.00 ( ~( c_lessequals @ ( c_HOL_Oabs @ V_a @ T_a ) @ c_0 @ T_a ) ) |
% 113.74/27.00 ( ( V_a ) = ( c_0 ) ))).
% 113.74/27.00 thf(zip_derived_cl1072, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 113.74/27.00 | ~ (c_lessequals @ (c_HOL_Oabs @ X1 @ X0) @ c_0 @ X0)
% 113.74/27.00 | ((X1) = (c_0)))),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__le__zero__iff_0])).
% 113.74/27.00 thf(zip_derived_cl74253, plain,
% 113.74/27.00 ((~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b)
% 113.74/27.00 | ((c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) = (c_0)))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl73822, zip_derived_cl1072])).
% 113.74/27.00 thf(zip_derived_cl2462, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 113.74/27.00 thf(clsrel_Ring__and__Field_Oordered__idom_4, axiom,
% 113.74/27.00 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 113.74/27.00 ( class_OrderedGroup_Oab__group__add @ T ))).
% 113.74/27.00 thf(zip_derived_cl2450, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_OrderedGroup_Oab__group__add @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_4])).
% 113.74/27.00 thf(cls_OrderedGroup_Oright__minus_0, axiom,
% 113.74/27.00 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 113.74/27.00 ( ( c_plus @ V_a @ ( c_uminus @ V_a @ T_a ) @ T_a ) = ( c_0 ) ))).
% 113.74/27.00 thf(zip_derived_cl1140, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 113.74/27.00 | ((c_plus @ X1 @ (c_uminus @ X1 @ X0) @ X0) = (c_0)))),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_OrderedGroup_Oright__minus_0])).
% 113.74/27.00 thf(clsrel_Ring__and__Field_Oordered__idom_27, axiom,
% 113.74/27.00 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 113.74/27.00 ( class_OrderedGroup_Ocancel__semigroup__add @ T ))).
% 113.74/27.00 thf(zip_derived_cl2436, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_OrderedGroup_Ocancel__semigroup__add @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_27])).
% 113.74/27.00 thf(zip_derived_cl2450, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_OrderedGroup_Oab__group__add @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_4])).
% 113.74/27.00 thf(zip_derived_cl2450, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_OrderedGroup_Oab__group__add @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_4])).
% 113.74/27.00 thf(zip_derived_cl2450, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_OrderedGroup_Oab__group__add @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_4])).
% 113.74/27.00 thf(cls_OrderedGroup_Oneg__0__equal__iff__equal_1, axiom,
% 113.74/27.00 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 113.74/27.00 ( ( c_0 ) = ( c_uminus @ c_0 @ T_a ) ))).
% 113.74/27.00 thf(zip_derived_cl1113, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 113.74/27.00 | ((c_0) = (c_uminus @ c_0 @ X0)))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [cls_OrderedGroup_Oneg__0__equal__iff__equal_1])).
% 113.74/27.00 thf(zip_derived_cl27578, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | ((c_0) = (c_uminus @ c_0 @ X0)))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2450, zip_derived_cl1113])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl27580, plain, (((c_0) = (c_uminus @ c_0 @ t_b))),
% 113.74/27.00 inference('s_sup+', [status(thm)],
% 113.74/27.00 [zip_derived_cl27578, zip_derived_cl2808])).
% 113.74/27.00 thf(cls_OrderedGroup_Odiff__minus__eq__add_0, axiom,
% 113.74/27.00 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 113.74/27.00 ( ( c_minus @ V_a @ ( c_uminus @ V_b @ T_a ) @ T_a ) =
% 113.74/27.00 ( c_plus @ V_a @ V_b @ T_a ) ))).
% 113.74/27.00 thf(zip_derived_cl1097, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 113.74/27.00 | ((c_minus @ X1 @ (c_uminus @ X2 @ X0) @ X0)
% 113.74/27.00 = (c_plus @ X1 @ X2 @ X0)))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [cls_OrderedGroup_Odiff__minus__eq__add_0])).
% 113.74/27.00 thf(zip_derived_cl39025, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Oab__group__add @ t_b)
% 113.74/27.00 | ((c_minus @ X0 @ c_0 @ t_b) = (c_plus @ X0 @ c_0 @ t_b)))),
% 113.74/27.00 inference('s_sup+', [status(thm)],
% 113.74/27.00 [zip_derived_cl27580, zip_derived_cl1097])).
% 113.74/27.00 thf(zip_derived_cl41965, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | ((c_minus @ X0 @ c_0 @ t_b) = (c_plus @ X0 @ c_0 @ t_b)))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2450, zip_derived_cl39025])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl41966, plain,
% 113.74/27.00 (![X0 : $i]: ((c_minus @ X0 @ c_0 @ t_b) = (c_plus @ X0 @ c_0 @ t_b))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl41965, zip_derived_cl2808])).
% 113.74/27.00 thf(cls_OrderedGroup_Odiff__0__right_0, axiom,
% 113.74/27.00 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 113.74/27.00 ( ( c_minus @ V_y @ c_0 @ T_a ) = ( V_y ) ))).
% 113.74/27.00 thf(zip_derived_cl1091, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 113.74/27.00 | ((c_minus @ X1 @ c_0 @ X0) = (X1)))),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_OrderedGroup_Odiff__0__right_0])).
% 113.74/27.00 thf(zip_derived_cl42009, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Oab__group__add @ t_b)
% 113.74/27.00 | ((c_plus @ X0 @ c_0 @ t_b) = (X0)))),
% 113.74/27.00 inference('s_sup+', [status(thm)],
% 113.74/27.00 [zip_derived_cl41966, zip_derived_cl1091])).
% 113.74/27.00 thf(zip_derived_cl42290, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | ((c_plus @ X0 @ c_0 @ t_b) = (X0)))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2450, zip_derived_cl42009])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl42291, plain,
% 113.74/27.00 (![X0 : $i]: ((c_plus @ X0 @ c_0 @ t_b) = (X0))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl42290, zip_derived_cl2808])).
% 113.74/27.00 thf(cls_OrderedGroup_Oadd__left__cancel_0, axiom,
% 113.74/27.00 (( ~( class_OrderedGroup_Ocancel__semigroup__add @ T_a ) ) |
% 113.74/27.00 ( ( c_plus @ V_a @ V_b @ T_a ) != ( c_plus @ V_a @ V_c @ T_a ) ) |
% 113.74/27.00 ( ( V_b ) = ( V_c ) ))).
% 113.74/27.00 thf(zip_derived_cl1083, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Ocancel__semigroup__add @ X0)
% 113.74/27.00 | ((c_plus @ X1 @ X3 @ X0) != (c_plus @ X1 @ X2 @ X0))
% 113.74/27.00 | ((X3) = (X2)))),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_OrderedGroup_Oadd__left__cancel_0])).
% 113.74/27.00 thf(zip_derived_cl42297, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Ocancel__semigroup__add @ t_b)
% 113.74/27.00 | ((X0) != (c_plus @ X0 @ X1 @ t_b))
% 113.74/27.00 | ((c_0) = (X1)))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl42291, zip_derived_cl1083])).
% 113.74/27.00 thf(zip_derived_cl43426, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | ((X0) != (c_plus @ X0 @ X1 @ t_b))
% 113.74/27.00 | ((c_0) = (X1)))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2436, zip_derived_cl42297])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl43427, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i]:
% 113.74/27.00 (((X0) != (c_plus @ X0 @ X1 @ t_b)) | ((c_0) = (X1)))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl43426, zip_derived_cl2808])).
% 113.74/27.00 thf(zip_derived_cl43439, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Oab__group__add @ t_b)
% 113.74/27.00 | ((X0) != (c_0))
% 113.74/27.00 | ((c_0) = (c_uminus @ X0 @ t_b)))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl1140, zip_derived_cl43427])).
% 113.74/27.00 thf(zip_derived_cl43450, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | ((X0) != (c_0))
% 113.74/27.00 | ((c_0) = (c_uminus @ X0 @ t_b)))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2450, zip_derived_cl43439])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl43451, plain,
% 113.74/27.00 (![X0 : $i]: (((X0) != (c_0)) | ((c_0) = (c_uminus @ X0 @ t_b)))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl43450, zip_derived_cl2808])).
% 113.74/27.00 thf(cls_OrderedGroup_Oabs__minus__cancel_0, axiom,
% 113.74/27.00 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 113.74/27.00 ( ( c_HOL_Oabs @ ( c_uminus @ V_a @ T_a ) @ T_a ) =
% 113.74/27.00 ( c_HOL_Oabs @ V_a @ T_a ) ))).
% 113.74/27.00 thf(zip_derived_cl1074, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 113.74/27.00 | ((c_HOL_Oabs @ (c_uminus @ X1 @ X0) @ X0) = (c_HOL_Oabs @ X1 @ X0)))),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__minus__cancel_0])).
% 113.74/27.00 thf(zip_derived_cl43461, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (((X0) != (c_0))
% 113.74/27.00 | ~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b)
% 113.74/27.00 | ((c_HOL_Oabs @ c_0 @ t_b) = (c_HOL_Oabs @ X0 @ t_b)))),
% 113.74/27.00 inference('s_sup+', [status(thm)],
% 113.74/27.00 [zip_derived_cl43451, zip_derived_cl1074])).
% 113.74/27.00 thf(zip_derived_cl2462, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 113.74/27.00 thf(zip_derived_cl2462, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 113.74/27.00 thf(clsrel_OrderedGroup_Olordered__ab__group__abs_0, axiom,
% 113.74/27.00 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T ) ) |
% 113.74/27.00 ( class_OrderedGroup_Olordered__ab__group @ T ))).
% 113.74/27.00 thf(zip_derived_cl1957, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 113.74/27.00 | (class_OrderedGroup_Olordered__ab__group @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_OrderedGroup_Olordered__ab__group__abs_0])).
% 113.74/27.00 thf(zip_derived_cl27640, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_OrderedGroup_Olordered__ab__group @ X0))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2462, zip_derived_cl1957])).
% 113.74/27.00 thf(cls_IntDef_Oof__int__0__eq__iff_1, axiom,
% 113.74/27.00 (( ~( class_Ring__and__Field_Oordered__idom @ T_a ) ) |
% 113.74/27.00 ( ( c_0 ) = ( c_IntDef_Oof__int @ c_0 @ T_a ) ))).
% 113.74/27.00 thf(zip_derived_cl289, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | ((c_0) = (c_IntDef_Oof__int @ c_0 @ X0)))),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_IntDef_Oof__int__0__eq__iff_1])).
% 113.74/27.00 thf(cls_IntDef_Oof__int__0__le__iff_1, axiom,
% 113.74/27.00 (( ~( class_Ring__and__Field_Oordered__idom @ T_a ) ) |
% 113.74/27.00 ( ~( c_lessequals @ c_0 @ V_z @ tc_IntDef_Oint ) ) |
% 113.74/27.00 ( c_lessequals @ c_0 @ ( c_IntDef_Oof__int @ V_z @ T_a ) @ T_a ))).
% 113.74/27.00 thf(zip_derived_cl291, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | ~ (c_lessequals @ c_0 @ X1 @ tc_IntDef_Oint)
% 113.74/27.00 | (c_lessequals @ c_0 @ (c_IntDef_Oof__int @ X1 @ X0) @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_IntDef_Oof__int__0__le__iff_1])).
% 113.74/27.00 thf(zip_derived_cl27890, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | ~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | ~ (c_lessequals @ c_0 @ c_0 @ tc_IntDef_Oint)
% 113.74/27.00 | (c_lessequals @ c_0 @ c_0 @ X0))),
% 113.74/27.00 inference('s_sup+', [status(thm)], [zip_derived_cl289, zip_derived_cl291])).
% 113.74/27.00 thf(cls_IntDef_Oint__le__0__conv_1, axiom,
% 113.74/27.00 (c_lessequals @ ( c_IntDef_Oint @ c_0 ) @ c_0 @ tc_IntDef_Oint)).
% 113.74/27.00 thf(zip_derived_cl270, plain,
% 113.74/27.00 ( (c_lessequals @ (c_IntDef_Oint @ c_0) @ c_0 @ tc_IntDef_Oint)),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_IntDef_Oint__le__0__conv_1])).
% 113.74/27.00 thf(cls_IntDef_Oint__eq__0__conv_1, axiom,
% 113.74/27.00 (( c_IntDef_Oint @ c_0 ) = ( c_0 ))).
% 113.74/27.00 thf(zip_derived_cl267, plain, (((c_IntDef_Oint @ c_0) = (c_0))),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_IntDef_Oint__eq__0__conv_1])).
% 113.74/27.00 thf(zip_derived_cl27066, plain,
% 113.74/27.00 ( (c_lessequals @ c_0 @ c_0 @ tc_IntDef_Oint)),
% 113.74/27.00 inference('demod', [status(thm)], [zip_derived_cl270, zip_derived_cl267])).
% 113.74/27.00 thf(zip_derived_cl27891, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | ~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (c_lessequals @ c_0 @ c_0 @ X0))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl27890, zip_derived_cl27066])).
% 113.74/27.00 thf(zip_derived_cl27892, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 ( (c_lessequals @ c_0 @ c_0 @ X0)
% 113.74/27.00 | ~ (class_Ring__and__Field_Oordered__idom @ X0))),
% 113.74/27.00 inference('simplify', [status(thm)], [zip_derived_cl27891])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl27896, plain, ( (c_lessequals @ c_0 @ c_0 @ t_b)),
% 113.74/27.00 inference('s_sup+', [status(thm)],
% 113.74/27.00 [zip_derived_cl27892, zip_derived_cl2808])).
% 113.74/27.00 thf(cls_OrderedGroup_Ozero__le__double__add__iff__zero__le__single__add_1, axiom,
% 113.74/27.00 (( ~( class_OrderedGroup_Olordered__ab__group @ T_a ) ) |
% 113.74/27.00 ( ~( c_lessequals @ c_0 @ V_a @ T_a ) ) |
% 113.74/27.00 ( c_lessequals @ c_0 @ ( c_plus @ V_a @ V_a @ T_a ) @ T_a ))).
% 113.74/27.00 thf(zip_derived_cl1142, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Olordered__ab__group @ X0)
% 113.74/27.00 | ~ (c_lessequals @ c_0 @ X1 @ X0)
% 113.74/27.00 | (c_lessequals @ c_0 @ (c_plus @ X1 @ X1 @ X0) @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [cls_OrderedGroup_Ozero__le__double__add__iff__zero__le__single__add_1])).
% 113.74/27.00 thf(zip_derived_cl40963, plain,
% 113.74/27.00 ((~ (class_OrderedGroup_Olordered__ab__group @ t_b)
% 113.74/27.00 | (c_lessequals @ c_0 @ (c_plus @ c_0 @ c_0 @ t_b) @ t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl27896, zip_derived_cl1142])).
% 113.74/27.00 thf(zip_derived_cl41016, plain,
% 113.74/27.00 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | (c_lessequals @ c_0 @ (c_plus @ c_0 @ c_0 @ t_b) @ t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl27640, zip_derived_cl40963])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl41017, plain,
% 113.74/27.00 ( (c_lessequals @ c_0 @ (c_plus @ c_0 @ c_0 @ t_b) @ t_b)),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl41016, zip_derived_cl2808])).
% 113.74/27.00 thf(cls_OrderedGroup_Oabs__of__nonneg_0, axiom,
% 113.74/27.00 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 113.74/27.00 ( ~( c_lessequals @ c_0 @ V_y @ T_a ) ) |
% 113.74/27.00 ( ( c_HOL_Oabs @ V_y @ T_a ) = ( V_y ) ))).
% 113.74/27.00 thf(zip_derived_cl1076, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 113.74/27.00 | ~ (c_lessequals @ c_0 @ X1 @ X0)
% 113.74/27.00 | ((c_HOL_Oabs @ X1 @ X0) = (X1)))),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__of__nonneg_0])).
% 113.74/27.00 thf(zip_derived_cl41028, plain,
% 113.74/27.00 ((~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b)
% 113.74/27.00 | ((c_HOL_Oabs @ (c_plus @ c_0 @ c_0 @ t_b) @ t_b)
% 113.74/27.00 = (c_plus @ c_0 @ c_0 @ t_b)))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl41017, zip_derived_cl1076])).
% 113.74/27.00 thf(zip_derived_cl41159, plain,
% 113.74/27.00 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | ((c_HOL_Oabs @ (c_plus @ c_0 @ c_0 @ t_b) @ t_b)
% 113.74/27.00 = (c_plus @ c_0 @ c_0 @ t_b)))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2462, zip_derived_cl41028])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl41160, plain,
% 113.74/27.00 (((c_HOL_Oabs @ (c_plus @ c_0 @ c_0 @ t_b) @ t_b)
% 113.74/27.00 = (c_plus @ c_0 @ c_0 @ t_b))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl41159, zip_derived_cl2808])).
% 113.74/27.00 thf(zip_derived_cl2462, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 113.74/27.00 thf(zip_derived_cl41160, plain,
% 113.74/27.00 (((c_HOL_Oabs @ (c_plus @ c_0 @ c_0 @ t_b) @ t_b)
% 113.74/27.00 = (c_plus @ c_0 @ c_0 @ t_b))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl41159, zip_derived_cl2808])).
% 113.74/27.00 thf(zip_derived_cl1072, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 113.74/27.00 | ~ (c_lessequals @ (c_HOL_Oabs @ X1 @ X0) @ c_0 @ X0)
% 113.74/27.00 | ((X1) = (c_0)))),
% 113.74/27.00 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__le__zero__iff_0])).
% 113.74/27.00 thf(zip_derived_cl41165, plain,
% 113.74/27.00 ((~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b)
% 113.74/27.00 | ~ (c_lessequals @ (c_plus @ c_0 @ c_0 @ t_b) @ c_0 @ t_b)
% 113.74/27.00 | ((c_plus @ c_0 @ c_0 @ t_b) = (c_0)))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl41160, zip_derived_cl1072])).
% 113.74/27.00 thf(zip_derived_cl27640, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 113.74/27.00 | (class_OrderedGroup_Olordered__ab__group @ X0))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2462, zip_derived_cl1957])).
% 113.74/27.00 thf(zip_derived_cl27896, plain, ( (c_lessequals @ c_0 @ c_0 @ t_b)),
% 113.74/27.00 inference('s_sup+', [status(thm)],
% 113.74/27.00 [zip_derived_cl27892, zip_derived_cl2808])).
% 113.74/27.00 thf(cls_OrderedGroup_Odouble__add__le__zero__iff__single__add__le__zero_1, axiom,
% 113.74/27.00 (( ~( class_OrderedGroup_Olordered__ab__group @ T_a ) ) |
% 113.74/27.00 ( ~( c_lessequals @ V_a @ c_0 @ T_a ) ) |
% 113.74/27.00 ( c_lessequals @ ( c_plus @ V_a @ V_a @ T_a ) @ c_0 @ T_a ))).
% 113.74/27.00 thf(zip_derived_cl1100, plain,
% 113.74/27.00 (![X0 : $i, X1 : $i]:
% 113.74/27.00 (~ (class_OrderedGroup_Olordered__ab__group @ X0)
% 113.74/27.00 | ~ (c_lessequals @ X1 @ c_0 @ X0)
% 113.74/27.00 | (c_lessequals @ (c_plus @ X1 @ X1 @ X0) @ c_0 @ X0))),
% 113.74/27.00 inference('cnf', [status(esa)],
% 113.74/27.00 [cls_OrderedGroup_Odouble__add__le__zero__iff__single__add__le__zero_1])).
% 113.74/27.00 thf(zip_derived_cl39175, plain,
% 113.74/27.00 ((~ (class_OrderedGroup_Olordered__ab__group @ t_b)
% 113.74/27.00 | (c_lessequals @ (c_plus @ c_0 @ c_0 @ t_b) @ c_0 @ t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl27896, zip_derived_cl1100])).
% 113.74/27.00 thf(zip_derived_cl39951, plain,
% 113.74/27.00 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | (c_lessequals @ (c_plus @ c_0 @ c_0 @ t_b) @ c_0 @ t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl27640, zip_derived_cl39175])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl39952, plain,
% 113.74/27.00 ( (c_lessequals @ (c_plus @ c_0 @ c_0 @ t_b) @ c_0 @ t_b)),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl39951, zip_derived_cl2808])).
% 113.74/27.00 thf(zip_derived_cl41170, plain,
% 113.74/27.00 ((~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b)
% 113.74/27.00 | ((c_plus @ c_0 @ c_0 @ t_b) = (c_0)))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl41165, zip_derived_cl39952])).
% 113.74/27.00 thf(zip_derived_cl41214, plain,
% 113.74/27.00 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | ((c_plus @ c_0 @ c_0 @ t_b) = (c_0)))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2462, zip_derived_cl41170])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl41215, plain, (((c_plus @ c_0 @ c_0 @ t_b) = (c_0))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl41214, zip_derived_cl2808])).
% 113.74/27.00 thf(zip_derived_cl41215, plain, (((c_plus @ c_0 @ c_0 @ t_b) = (c_0))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl41214, zip_derived_cl2808])).
% 113.74/27.00 thf(zip_derived_cl41247, plain, (((c_HOL_Oabs @ c_0 @ t_b) = (c_0))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl41160, zip_derived_cl41215, zip_derived_cl41215])).
% 113.74/27.00 thf(zip_derived_cl43500, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (((X0) != (c_0))
% 113.74/27.00 | ~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b)
% 113.74/27.00 | ((c_0) = (c_HOL_Oabs @ X0 @ t_b)))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl43461, zip_derived_cl41247])).
% 113.74/27.00 thf(zip_derived_cl43518, plain,
% 113.74/27.00 (![X0 : $i]:
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 113.74/27.00 | ((X0) != (c_0))
% 113.74/27.00 | ((c_0) = (c_HOL_Oabs @ X0 @ t_b)))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2462, zip_derived_cl43500])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl43519, plain,
% 113.74/27.00 (![X0 : $i]: (((X0) != (c_0)) | ((c_0) = (c_HOL_Oabs @ X0 @ t_b)))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl43518, zip_derived_cl2808])).
% 113.74/27.00 thf(zip_derived_cl41930, plain,
% 113.74/27.00 (~ (c_lessequals @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @
% 113.74/27.00 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 113.74/27.00 t_b)),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl41929, zip_derived_cl2808])).
% 113.74/27.00 thf(zip_derived_cl43533, plain,
% 113.74/27.00 ((((c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) != (c_0))
% 113.74/27.00 | ~ (c_lessequals @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @
% 113.74/27.00 c_0 @ t_b))),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl43519, zip_derived_cl41930])).
% 113.74/27.00 thf(zip_derived_cl58412, plain,
% 113.74/27.00 ( (c_lessequals @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ c_0 @ t_b)),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl58409, zip_derived_cl2808])).
% 113.74/27.00 thf(zip_derived_cl58413, plain,
% 113.74/27.00 (((c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) != (c_0))),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl43533, zip_derived_cl58412])).
% 113.74/27.00 thf(zip_derived_cl74274, plain,
% 113.74/27.00 (~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b)),
% 113.74/27.00 inference('simplify_reflect-', [status(thm)],
% 113.74/27.00 [zip_derived_cl74253, zip_derived_cl58413])).
% 113.74/27.00 thf(zip_derived_cl74277, plain,
% 113.74/27.00 (~ (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('s_sup-', [status(thm)],
% 113.74/27.00 [zip_derived_cl2462, zip_derived_cl74274])).
% 113.74/27.00 thf(zip_derived_cl2808, plain,
% 113.74/27.00 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 113.74/27.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 113.74/27.00 thf(zip_derived_cl74279, plain, ($false),
% 113.74/27.00 inference('demod', [status(thm)],
% 113.74/27.00 [zip_derived_cl74277, zip_derived_cl2808])).
% 113.74/27.00
% 113.74/27.00 % SZS output end Refutation
% 113.74/27.00
% 113.74/27.00
% 113.74/27.00 % Terminating...
% 114.03/27.16 % Runner terminated.
% 114.06/27.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------