%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA023-1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.h5VsEnga6L true
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:28:52 PM UTC 2025
% Result : Unsatisfiable 142.03s 20.90s
% Output : Refutation 142.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : ANA023-1 : TPTP v9.2.0. Released v3.2.0.
% 0.11/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.h5VsEnga6L true
% 0.16/0.37 % Computer : n010.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Oct 1 15:22:08 EDT 2025
% 0.16/0.38 % CPUTime :
% 0.16/0.38 % Running portfolio for 300 s
% 0.16/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.38 % Number of cores: 8
% 0.16/0.38 % Python version: Python 3.6.8
% 0.16/0.38 % Running in FO mode
% 0.58/0.69 % Total configuration time : 435
% 0.58/0.69 % Estimated wc time : 1092
% 0.58/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.63/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.63/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.63/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.63/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.63/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 142.03/20.90 % Solved by fo/fo6_bce.sh.
% 142.03/20.90 % BCE start: 2809
% 142.03/20.90 % BCE eliminated: 331
% 142.03/20.90 % PE start: 2478
% 142.03/20.90 logic: eq
% 142.03/20.90 % PE eliminated: -98
% 142.03/20.90 % done 10962 iterations in 20.106s
% 142.03/20.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 142.03/20.90 % SZS output start Refutation
% 142.03/20.90 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 142.03/20.90 thf(class_OrderedGroup_Oab__group__add_type, type, class_OrderedGroup_Oab__group__add:
% 142.03/20.90 $i > $o).
% 142.03/20.90 thf(v_f_type, type, v_f: $i > $i).
% 142.03/20.90 thf(v_k_type, type, v_k: $i > $i).
% 142.03/20.90 thf(class_Orderings_Olinorder_type, type, class_Orderings_Olinorder: $i > $o).
% 142.03/20.90 thf(t_b_type, type, t_b: $i).
% 142.03/20.90 thf(c_uminus_type, type, c_uminus: $i > $i > $i).
% 142.03/20.90 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 142.03/20.90 thf(v_g_type, type, v_g: $i > $i).
% 142.03/20.90 thf(c_less_type, type, c_less: $i > $i > $i > $o).
% 142.03/20.90 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 142.03/20.90 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 142.03/20.90 $i > $o).
% 142.03/20.90 thf(v_x_type, type, v_x: $i).
% 142.03/20.90 thf(c_0_type, type, c_0: $i).
% 142.03/20.90 thf(class_OrderedGroup_Opordered__ab__group__add_type, type, class_OrderedGroup_Opordered__ab__group__add:
% 142.03/20.90 $i > $o).
% 142.03/20.90 thf(clsrel_Ring__and__Field_Oordered__idom_44, axiom,
% 142.03/20.90 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 142.03/20.90 ( class_Orderings_Oorder @ T ))).
% 142.03/20.90 thf(zip_derived_cl2455, plain,
% 142.03/20.90 (![X0 : $i]:
% 142.03/20.90 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 142.03/20.90 | (class_Orderings_Oorder @ X0))),
% 142.03/20.90 inference('cnf', [status(esa)],
% 142.03/20.90 [clsrel_Ring__and__Field_Oordered__idom_44])).
% 142.03/20.90 thf(cls_conjecture_2, conjecture,
% 142.03/20.90 (~( c_lessequals @ ( v_k @ v_x ) @ ( v_f @ v_x ) @ t_b ))).
% 142.03/20.90 thf(zf_stmt_0, negated_conjecture,
% 142.03/20.90 (c_lessequals @ ( v_k @ v_x ) @ ( v_f @ v_x ) @ t_b),
% 142.03/20.90 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 142.03/20.90 thf(zip_derived_cl2806, plain,
% 142.03/20.90 ( (c_lessequals @ (v_k @ v_x) @ (v_f @ v_x) @ t_b)),
% 142.03/20.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 142.03/20.90 thf(cls_Orderings_Oorder__class_Oorder__trans_0, axiom,
% 142.03/20.90 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 142.03/20.90 ( ~( c_lessequals @ V_y @ V_z @ T_a ) ) |
% 142.03/20.90 ( ~( c_lessequals @ V_x @ V_y @ T_a ) ) |
% 142.03/20.90 ( c_lessequals @ V_x @ V_z @ T_a ))).
% 142.03/20.90 thf(zip_derived_cl2802, plain,
% 142.03/20.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 142.03/20.90 (~ (class_Orderings_Oorder @ X0)
% 142.03/20.90 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 142.03/20.90 | ~ (c_lessequals @ X3 @ X1 @ X0)
% 142.03/20.90 | (c_lessequals @ X3 @ X2 @ X0))),
% 142.03/20.90 inference('cnf', [status(esa)],
% 142.03/20.90 [cls_Orderings_Oorder__class_Oorder__trans_0])).
% 142.03/20.90 thf(zip_derived_cl57948, plain,
% 142.03/20.90 (![X0 : $i]:
% 142.03/20.90 (~ (class_Orderings_Oorder @ t_b)
% 142.03/20.90 | ~ (c_lessequals @ X0 @ (v_k @ v_x) @ t_b)
% 142.03/20.90 | (c_lessequals @ X0 @ (v_f @ v_x) @ t_b))),
% 142.03/20.90 inference('s_sup-', [status(thm)],
% 142.03/20.90 [zip_derived_cl2806, zip_derived_cl2802])).
% 142.03/20.90 thf(zip_derived_cl79499, plain,
% 142.03/20.90 (![X0 : $i]:
% 142.03/20.90 (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 142.03/20.90 | ~ (c_lessequals @ X0 @ (v_k @ v_x) @ t_b)
% 142.03/20.90 | (c_lessequals @ X0 @ (v_f @ v_x) @ t_b))),
% 142.03/20.90 inference('s_sup-', [status(thm)],
% 142.03/20.90 [zip_derived_cl2455, zip_derived_cl57948])).
% 142.03/20.90 thf(tfree_tcs, conjecture,
% 142.03/20.90 (~( class_Ring__and__Field_Oordered__idom @ t_b ))).
% 142.03/20.90 thf(zf_stmt_1, negated_conjecture,
% 142.03/20.90 (class_Ring__and__Field_Oordered__idom @ t_b),
% 142.03/20.90 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 142.03/20.90 thf(zip_derived_cl2808, plain,
% 142.03/20.90 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 142.03/20.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 142.03/20.90 thf(zip_derived_cl79502, plain,
% 142.03/20.90 (![X0 : $i]:
% 142.03/20.90 (~ (c_lessequals @ X0 @ (v_k @ v_x) @ t_b)
% 142.03/20.90 | (c_lessequals @ X0 @ (v_f @ v_x) @ t_b))),
% 142.03/20.90 inference('demod', [status(thm)],
% 142.03/20.90 [zip_derived_cl79499, zip_derived_cl2808])).
% 142.03/20.90 thf(clsrel_Ring__and__Field_Oordered__idom_33, axiom,
% 142.03/20.90 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 142.03/20.90 ( class_Orderings_Olinorder @ T ))).
% 142.03/20.90 thf(zip_derived_cl2443, plain,
% 142.03/20.90 (![X0 : $i]:
% 142.03/20.90 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 142.03/20.90 | (class_Orderings_Olinorder @ X0))),
% 142.03/20.90 inference('cnf', [status(esa)],
% 142.03/20.90 [clsrel_Ring__and__Field_Oordered__idom_33])).
% 142.03/20.90 thf(clsrel_Ring__and__Field_Oordered__idom_54, axiom,
% 142.03/20.90 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 142.03/20.90 ( class_OrderedGroup_Opordered__ab__group__add @ T ))).
% 142.03/20.90 thf(zip_derived_cl2466, plain,
% 142.03/20.90 (![X0 : $i]:
% 142.03/20.90 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 142.03/20.90 | (class_OrderedGroup_Opordered__ab__group__add @ X0))),
% 142.03/20.90 inference('cnf', [status(esa)],
% 142.03/20.90 [clsrel_Ring__and__Field_Oordered__idom_54])).
% 142.03/20.90 thf(zip_derived_cl2443, plain,
% 142.03/20.90 (![X0 : $i]:
% 142.03/20.90 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 142.03/20.90 | (class_Orderings_Olinorder @ X0))),
% 142.03/20.90 inference('cnf', [status(esa)],
% 142.03/20.90 [clsrel_Ring__and__Field_Oordered__idom_33])).
% 142.03/20.90 thf(cls_Orderings_Olinorder__not__le_0, axiom,
% 142.03/20.90 (( ~( class_Orderings_Olinorder @ T_a ) ) | ( c_less @ V_y @ V_x @ T_a ) |
% 142.03/20.90 ( c_lessequals @ V_x @ V_y @ T_a ))).
% 142.03/20.90 thf(zip_derived_cl2800, plain,
% 142.03/20.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 142.03/20.90 (~ (class_Orderings_Olinorder @ X0)
% 142.03/20.90 | (c_less @ X1 @ X2 @ X0)
% 142.03/20.90 | (c_lessequals @ X2 @ X1 @ X0))),
% 142.03/20.90 inference('cnf', [status(esa)], [cls_Orderings_Olinorder__not__le_0])).
% 142.03/20.90 thf(cls_conjecture_3, conjecture,
% 142.03/20.90 (c_lessequals @
% 142.03/20.90 c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b)).
% 142.03/20.90 thf(zf_stmt_2, negated_conjecture,
% 142.03/20.90 (~( c_lessequals @
% 142.03/20.90 c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b )),
% 142.03/20.90 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 142.03/20.90 thf(zip_derived_cl2807, plain,
% 142.03/20.90 (~ (c_lessequals @ c_0 @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @
% 142.03/20.90 t_b)),
% 142.03/20.90 inference('cnf', [status(esa)], [zf_stmt_2])).
% 142.03/20.90 thf(zip_derived_cl58464, plain,
% 142.03/20.90 (( (c_less @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ c_0 @ t_b)
% 142.03/20.90 | ~ (class_Orderings_Olinorder @ t_b))),
% 142.03/20.90 inference('s_sup-', [status(thm)],
% 142.03/20.90 [zip_derived_cl2800, zip_derived_cl2807])).
% 142.03/20.90 thf(zip_derived_cl60412, plain,
% 142.03/20.90 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 142.03/20.90 | (c_less @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ c_0 @ t_b))),
% 142.03/20.90 inference('s_sup-', [status(thm)],
% 142.03/20.90 [zip_derived_cl2443, zip_derived_cl58464])).
% 142.03/20.90 thf(zip_derived_cl2808, plain,
% 142.03/20.90 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 142.03/20.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 142.03/20.90 thf(zip_derived_cl60413, plain,
% 142.03/20.90 ( (c_less @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ c_0 @ t_b)),
% 142.03/20.90 inference('demod', [status(thm)],
% 142.03/20.90 [zip_derived_cl60412, zip_derived_cl2808])).
% 142.03/20.90 thf(cls_OrderedGroup_Odiff__less__0__iff__less_0, axiom,
% 142.03/20.90 (( ~( class_OrderedGroup_Opordered__ab__group__add @ T_a ) ) |
% 142.03/20.90 ( ~( c_less @ ( c_minus @ V_a @ V_b @ T_a ) @ c_0 @ T_a ) ) |
% 142.03/20.90 ( c_less @ V_a @ V_b @ T_a ))).
% 142.03/20.90 thf(zip_derived_cl1095, plain,
% 142.03/20.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 142.03/20.90 (~ (class_OrderedGroup_Opordered__ab__group__add @ X0)
% 142.03/20.90 | ~ (c_less @ (c_minus @ X1 @ X2 @ X0) @ c_0 @ X0)
% 142.03/20.90 | (c_less @ X1 @ X2 @ X0))),
% 142.03/20.90 inference('cnf', [status(esa)],
% 142.03/20.90 [cls_OrderedGroup_Odiff__less__0__iff__less_0])).
% 142.03/20.90 thf(zip_derived_cl60449, plain,
% 142.03/20.90 ((~ (class_OrderedGroup_Opordered__ab__group__add @ t_b)
% 142.03/20.90 | (c_less @ (v_f @ v_x) @ (v_g @ v_x) @ t_b))),
% 142.03/20.90 inference('s_sup-', [status(thm)],
% 142.03/20.90 [zip_derived_cl60413, zip_derived_cl1095])).
% 142.03/20.90 thf(zip_derived_cl60466, plain,
% 142.03/20.90 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 142.03/20.90 | (c_less @ (v_f @ v_x) @ (v_g @ v_x) @ t_b))),
% 142.03/20.90 inference('s_sup-', [status(thm)],
% 142.03/20.90 [zip_derived_cl2466, zip_derived_cl60449])).
% 142.03/20.90 thf(zip_derived_cl2808, plain,
% 142.03/20.90 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 142.03/20.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 142.03/20.90 thf(zip_derived_cl60467, plain,
% 142.03/20.90 ( (c_less @ (v_f @ v_x) @ (v_g @ v_x) @ t_b)),
% 142.03/20.90 inference('demod', [status(thm)],
% 142.03/20.90 [zip_derived_cl60466, zip_derived_cl2808])).
% 142.03/20.90 thf(cls_Orderings_Olinorder__not__le_1, axiom,
% 142.03/20.90 (( ~( class_Orderings_Olinorder @ T_a ) ) |
% 142.03/20.90 ( ~( c_less @ V_y @ V_x @ T_a ) ) |
% 142.03/20.90 ( ~( c_lessequals @ V_x @ V_y @ T_a ) ))).
% 142.03/20.90 thf(zip_derived_cl2801, plain,
% 142.03/20.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 142.03/20.90 (~ (class_Orderings_Olinorder @ X0)
% 142.03/20.90 | ~ (c_less @ X1 @ X2 @ X0)
% 142.03/20.90 | ~ (c_lessequals @ X2 @ X1 @ X0))),
% 142.03/20.90 inference('cnf', [status(esa)], [cls_Orderings_Olinorder__not__le_1])).
% 142.03/20.90 thf(zip_derived_cl60545, plain,
% 142.03/20.90 ((~ (class_Orderings_Olinorder @ t_b)
% 142.03/20.90 | ~ (c_lessequals @ (v_g @ v_x) @ (v_f @ v_x) @ t_b))),
% 142.03/20.90 inference('s_sup-', [status(thm)],
% 142.03/20.90 [zip_derived_cl60467, zip_derived_cl2801])).
% 142.03/20.90 thf(zip_derived_cl60547, plain,
% 142.03/20.90 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 142.03/20.90 | ~ (c_lessequals @ (v_g @ v_x) @ (v_f @ v_x) @ t_b))),
% 142.03/20.90 inference('s_sup-', [status(thm)],
% 142.03/20.90 [zip_derived_cl2443, zip_derived_cl60545])).
% 142.03/20.90 thf(zip_derived_cl2808, plain,
% 142.03/20.90 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 142.03/20.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 142.03/20.90 thf(zip_derived_cl60548, plain,
% 142.03/20.90 (~ (c_lessequals @ (v_g @ v_x) @ (v_f @ v_x) @ t_b)),
% 142.03/20.90 inference('demod', [status(thm)],
% 142.03/20.90 [zip_derived_cl60547, zip_derived_cl2808])).
% 142.03/20.90 thf(zip_derived_cl79523, plain,
% 142.03/20.90 (~ (c_lessequals @ (v_g @ v_x) @ (v_k @ v_x) @ t_b)),
% 142.03/20.90 inference('s_sup-', [status(thm)],
% 142.03/20.90 [zip_derived_cl79502, zip_derived_cl60548])).
% 142.03/20.90 thf(zip_derived_cl2466, plain,
% 142.03/20.90 (![X0 : $i]:
% 142.03/20.90 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 142.03/20.90 | (class_OrderedGroup_Opordered__ab__group__add @ X0))),
% 142.03/20.90 inference('cnf', [status(esa)],
% 142.03/20.90 [clsrel_Ring__and__Field_Oordered__idom_54])).
% 142.03/20.90 thf(clsrel_Ring__and__Field_Oordered__idom_4, axiom,
% 142.03/20.90 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 142.03/20.90 ( class_OrderedGroup_Oab__group__add @ T ))).
% 142.03/20.90 thf(zip_derived_cl2450, plain,
% 142.03/20.90 (![X0 : $i]:
% 142.03/20.90 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 142.03/20.90 | (class_OrderedGroup_Oab__group__add @ X0))),
% 142.03/20.90 inference('cnf', [status(esa)],
% 142.03/20.90 [clsrel_Ring__and__Field_Oordered__idom_4])).
% 142.03/20.90 thf(cls_OrderedGroup_Ominus__diff__eq_0, axiom,
% 142.03/20.90 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 142.03/20.90 ( ( c_uminus @ ( c_minus @ V_a @ V_b @ T_a ) @ T_a ) =
% 142.03/20.90 ( c_minus @ V_b @ V_a @ T_a ) ))).
% 142.03/20.90 thf(zip_derived_cl1108, plain,
% 142.03/20.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 142.03/20.90 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 142.03/20.90 | ((c_uminus @ (c_minus @ X2 @ X1 @ X0) @ X0)
% 142.03/20.90 = (c_minus @ X1 @ X2 @ X0)))),
% 142.03/20.90 inference('cnf', [status(esa)], [cls_OrderedGroup_Ominus__diff__eq_0])).
% 142.03/20.90 thf(zip_derived_cl2450, plain,
% 142.03/20.90 (![X0 : $i]:
% 142.03/20.90 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 142.03/20.90 | (class_OrderedGroup_Oab__group__add @ X0))),
% 142.03/20.90 inference('cnf', [status(esa)],
% 142.03/20.90 [clsrel_Ring__and__Field_Oordered__idom_4])).
% 142.03/20.90 thf(cls_OrderedGroup_Odiff__0_0, axiom,
% 142.03/20.90 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 142.03/20.90 ( ( c_minus @ c_0 @ V_a @ T_a ) = ( c_uminus @ V_a @ T_a ) ))).
% 142.03/20.90 thf(zip_derived_cl1090, plain,
% 142.03/20.90 (![X0 : $i, X1 : $i]:
% 142.03/20.90 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 142.03/20.90 | ((c_minus @ c_0 @ X1 @ X0) = (c_uminus @ X1 @ X0)))),
% 142.03/20.90 inference('cnf', [status(esa)], [cls_OrderedGroup_Odiff__0_0])).
% 142.03/20.90 thf(zip_derived_cl2466, plain,
% 142.03/20.90 (![X0 : $i]:
% 142.03/20.90 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 142.03/20.90 | (class_OrderedGroup_Opordered__ab__group__add @ X0))),
% 142.03/20.90 inference('cnf', [status(esa)],
% 142.03/20.90 [clsrel_Ring__and__Field_Oordered__idom_54])).
% 142.03/20.90 thf(cls_conjecture_1, conjecture,
% 142.03/20.90 (~( c_lessequals @
% 142.03/20.90 c_0 @ ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ))).
% 142.03/20.90 thf(zf_stmt_3, negated_conjecture,
% 142.03/20.90 (c_lessequals @
% 142.03/20.90 c_0 @ ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b),
% 142.03/20.90 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 142.03/20.90 thf(zip_derived_cl2805, plain,
% 142.03/20.90 ( (c_lessequals @ c_0 @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b)),
% 142.03/20.90 inference('cnf', [status(esa)], [zf_stmt_3])).
% 142.03/20.90 thf(cls_OrderedGroup_Odiff__le__0__iff__le_1, axiom,
% 142.03/20.90 (( ~( class_OrderedGroup_Opordered__ab__group__add @ T_a ) ) |
% 142.03/20.90 ( ~( c_lessequals @ V_a @ V_b @ T_a ) ) |
% 142.03/20.90 ( c_lessequals @ ( c_minus @ V_a @ V_b @ T_a ) @ c_0 @ T_a ))).
% 142.03/20.90 thf(zip_derived_cl1094, plain,
% 142.03/20.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 142.03/20.90 (~ (class_OrderedGroup_Opordered__ab__group__add @ X0)
% 142.03/20.90 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 142.03/20.90 | (c_lessequals @ (c_minus @ X1 @ X2 @ X0) @ c_0 @ X0))),
% 142.03/20.90 inference('cnf', [status(esa)],
% 142.03/20.90 [cls_OrderedGroup_Odiff__le__0__iff__le_1])).
% 142.03/20.90 thf(zip_derived_cl38850, plain,
% 142.03/20.90 ((~ (class_OrderedGroup_Opordered__ab__group__add @ t_b)
% 142.03/20.90 | (c_lessequals @
% 142.03/20.90 (c_minus @ c_0 @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 142.03/20.90 c_0 @ t_b))),
% 142.03/20.90 inference('s_sup-', [status(thm)],
% 142.03/20.90 [zip_derived_cl2805, zip_derived_cl1094])).
% 142.03/20.90 thf(zip_derived_cl39203, plain,
% 142.03/20.90 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 142.03/20.90 | (c_lessequals @
% 142.03/20.90 (c_minus @ c_0 @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 142.03/20.90 c_0 @ t_b))),
% 142.03/20.90 inference('s_sup-', [status(thm)],
% 142.03/20.90 [zip_derived_cl2466, zip_derived_cl38850])).
% 142.03/20.90 thf(zip_derived_cl2808, plain,
% 142.03/20.90 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 142.03/20.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 142.03/20.90 thf(zip_derived_cl39204, plain,
% 142.03/20.90 ( (c_lessequals @
% 142.03/20.90 (c_minus @ c_0 @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 142.03/20.90 c_0 @ t_b)),
% 142.03/20.90 inference('demod', [status(thm)],
% 142.03/20.90 [zip_derived_cl39203, zip_derived_cl2808])).
% 142.03/20.90 thf(zip_derived_cl39216, plain,
% 142.03/20.90 ((~ (class_OrderedGroup_Oab__group__add @ t_b)
% 142.03/20.90 | (c_lessequals @
% 142.03/20.90 (c_uminus @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 142.03/20.90 c_0 @ t_b))),
% 142.03/20.90 inference('s_sup+', [status(thm)],
% 142.03/20.90 [zip_derived_cl1090, zip_derived_cl39204])).
% 142.03/20.90 thf(zip_derived_cl41217, plain,
% 142.03/20.90 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 142.03/20.90 | (c_lessequals @
% 142.03/20.90 (c_uminus @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 142.03/20.90 c_0 @ t_b))),
% 142.03/20.90 inference('s_sup-', [status(thm)],
% 142.03/20.90 [zip_derived_cl2450, zip_derived_cl39216])).
% 142.03/20.90 thf(zip_derived_cl2808, plain,
% 142.03/20.90 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 142.03/20.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 142.03/20.90 thf(zip_derived_cl41218, plain,
% 142.03/20.90 ( (c_lessequals @
% 142.03/20.90 (c_uminus @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 142.03/20.90 c_0 @ t_b)),
% 142.03/20.90 inference('demod', [status(thm)],
% 142.03/20.90 [zip_derived_cl41217, zip_derived_cl2808])).
% 142.03/20.90 thf(zip_derived_cl41273, plain,
% 142.03/20.90 ((~ (class_OrderedGroup_Oab__group__add @ t_b)
% 142.03/20.90 | (c_lessequals @ (c_minus @ (v_g @ v_x) @ (v_k @ v_x) @ t_b) @ c_0 @
% 142.03/20.90 t_b))),
% 142.03/20.90 inference('s_sup+', [status(thm)],
% 142.03/20.90 [zip_derived_cl1108, zip_derived_cl41218])).
% 142.03/20.90 thf(zip_derived_cl41277, plain,
% 142.03/20.90 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 142.03/20.90 | (c_lessequals @ (c_minus @ (v_g @ v_x) @ (v_k @ v_x) @ t_b) @ c_0 @
% 142.03/20.90 t_b))),
% 142.03/20.90 inference('s_sup-', [status(thm)],
% 142.03/20.90 [zip_derived_cl2450, zip_derived_cl41273])).
% 142.03/20.90 thf(zip_derived_cl2808, plain,
% 142.03/20.90 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 142.03/20.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 142.03/20.90 thf(zip_derived_cl41278, plain,
% 142.03/20.90 ( (c_lessequals @ (c_minus @ (v_g @ v_x) @ (v_k @ v_x) @ t_b) @ c_0 @ t_b)),
% 142.03/20.90 inference('demod', [status(thm)],
% 142.03/20.90 [zip_derived_cl41277, zip_derived_cl2808])).
% 142.03/20.91 thf(cls_OrderedGroup_Odiff__le__0__iff__le_0, axiom,
% 142.03/20.91 (( ~( class_OrderedGroup_Opordered__ab__group__add @ T_a ) ) |
% 142.03/20.91 ( ~( c_lessequals @ ( c_minus @ V_a @ V_b @ T_a ) @ c_0 @ T_a ) ) |
% 142.03/20.91 ( c_lessequals @ V_a @ V_b @ T_a ))).
% 142.03/20.91 thf(zip_derived_cl1093, plain,
% 142.03/20.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 142.03/20.91 (~ (class_OrderedGroup_Opordered__ab__group__add @ X0)
% 142.03/20.91 | ~ (c_lessequals @ (c_minus @ X1 @ X2 @ X0) @ c_0 @ X0)
% 142.03/20.91 | (c_lessequals @ X1 @ X2 @ X0))),
% 142.03/20.91 inference('cnf', [status(esa)],
% 142.03/20.91 [cls_OrderedGroup_Odiff__le__0__iff__le_0])).
% 142.03/20.91 thf(zip_derived_cl41292, plain,
% 142.03/20.91 ((~ (class_OrderedGroup_Opordered__ab__group__add @ t_b)
% 142.03/20.91 | (c_lessequals @ (v_g @ v_x) @ (v_k @ v_x) @ t_b))),
% 142.03/20.91 inference('s_sup-', [status(thm)],
% 142.03/20.91 [zip_derived_cl41278, zip_derived_cl1093])).
% 142.03/20.91 thf(zip_derived_cl41339, plain,
% 142.03/20.91 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 142.03/20.91 | (c_lessequals @ (v_g @ v_x) @ (v_k @ v_x) @ t_b))),
% 142.03/20.91 inference('s_sup-', [status(thm)],
% 142.03/20.91 [zip_derived_cl2466, zip_derived_cl41292])).
% 142.03/20.91 thf(zip_derived_cl2808, plain,
% 142.03/20.91 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 142.03/20.91 inference('cnf', [status(esa)], [zf_stmt_1])).
% 142.03/20.91 thf(zip_derived_cl41340, plain,
% 142.03/20.91 ( (c_lessequals @ (v_g @ v_x) @ (v_k @ v_x) @ t_b)),
% 142.03/20.91 inference('demod', [status(thm)],
% 142.03/20.91 [zip_derived_cl41339, zip_derived_cl2808])).
% 142.03/20.91 thf(zip_derived_cl79527, plain, ($false),
% 142.03/20.91 inference('demod', [status(thm)],
% 142.03/20.91 [zip_derived_cl79523, zip_derived_cl41340])).
% 142.03/20.91
% 142.03/20.91 % SZS output end Refutation
% 142.03/20.91
% 142.03/20.91
% 142.03/20.91 % Terminating...
% 142.05/20.95 % Runner terminated.
% 142.05/20.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------