%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA039-1 : 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.cyebjLld4T true
% Computer : n025.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 04:28:55 PM UTC 2025
% Result : Unsatisfiable 34.41s 5.61s
% Output : Refutation 34.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ANA039-1 : TPTP v9.2.0. Released v3.2.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cyebjLld4T true
% 0.13/0.36 % Computer : n025.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 15:23:08 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.22/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.47/0.62 % Total configuration time : 435
% 0.47/0.62 % Estimated wc time : 1092
% 0.47/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 34.41/5.61 % Solved by fo/fo13.sh.
% 34.41/5.61 % done 3624 iterations in 4.838s
% 34.41/5.61 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 34.41/5.61 % SZS output start Refutation
% 34.41/5.61 thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs:
% 34.41/5.61 $i > $o).
% 34.41/5.61 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 34.41/5.61 thf(class_Ring__and__Field_Opordered__semiring_type, type, class_Ring__and__Field_Opordered__semiring:
% 34.41/5.61 $i > $o).
% 34.41/5.61 thf(v_f_type, type, v_f: $i > $i).
% 34.41/5.61 thf(v_x_type, type, v_x: $i).
% 34.41/5.61 thf(v_c_type, type, v_c: $i).
% 34.41/5.61 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 34.41/5.61 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 34.41/5.61 thf(c_0_type, type, c_0: $i).
% 34.41/5.61 thf(t_a_type, type, t_a: $i).
% 34.41/5.61 thf(v_h_type, type, v_h: $i > $i).
% 34.41/5.61 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 34.41/5.61 $i > $o).
% 34.41/5.61 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 34.41/5.61 thf(clsrel_Ring__and__Field_Oordered__idom_44, axiom,
% 34.41/5.61 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 34.41/5.61 ( class_Orderings_Oorder @ T ))).
% 34.41/5.61 thf(zip_derived_cl1085, plain,
% 34.41/5.61 (![X0 : $i]:
% 34.41/5.61 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 34.41/5.61 | (class_Orderings_Oorder @ X0))),
% 34.41/5.61 inference('cnf', [status(esa)],
% 34.41/5.61 [clsrel_Ring__and__Field_Oordered__idom_44])).
% 34.41/5.61 thf(clsrel_Ring__and__Field_Oordered__idom_50, axiom,
% 34.41/5.61 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 34.41/5.61 ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 34.41/5.61 thf(zip_derived_cl1092, plain,
% 34.41/5.61 (![X0 : $i]:
% 34.41/5.61 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 34.41/5.61 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 34.41/5.61 inference('cnf', [status(esa)],
% 34.41/5.61 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 34.41/5.61 thf(cls_OrderedGroup_Oabs__ge__self_0, axiom,
% 34.41/5.61 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 34.41/5.61 ( c_lessequals @ V_a @ ( c_HOL_Oabs @ V_a @ T_a ) @ T_a ))).
% 34.41/5.61 thf(zip_derived_cl1410, plain,
% 34.41/5.61 (![X0 : $i, X1 : $i]:
% 34.41/5.61 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 34.41/5.61 | (c_lessequals @ X1 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 34.41/5.61 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__ge__self_0])).
% 34.41/5.61 thf(clsrel_Ring__and__Field_Oordered__idom_42, axiom,
% 34.41/5.61 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 34.41/5.61 ( class_Ring__and__Field_Opordered__semiring @ T ))).
% 34.41/5.61 thf(zip_derived_cl1083, plain,
% 34.41/5.61 (![X0 : $i]:
% 34.41/5.61 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 34.41/5.61 | (class_Ring__and__Field_Opordered__semiring @ X0))),
% 34.41/5.61 inference('cnf', [status(esa)],
% 34.41/5.61 [clsrel_Ring__and__Field_Oordered__idom_42])).
% 34.41/5.61 thf(cls_conjecture_0, conjecture,
% 34.41/5.61 (~( c_lessequals @
% 34.41/5.61 ( c_HOL_Oabs @ ( v_h @ V_U ) @ t_a ) @
% 34.41/5.61 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_f @ V_U ) @ t_a ) @ t_a ) @ t_a ))).
% 34.41/5.61 thf(zf_stmt_0, negated_conjecture,
% 34.41/5.61 (c_lessequals @
% 34.41/5.61 ( c_HOL_Oabs @ ( v_h @ V_U ) @ t_a ) @
% 34.41/5.61 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_f @ V_U ) @ t_a ) @ t_a ) @ t_a),
% 34.41/5.61 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 34.41/5.61 thf(zip_derived_cl1414, plain,
% 34.41/5.61 (![X0 : $i]:
% 34.41/5.61 (c_lessequals @ (c_HOL_Oabs @ (v_h @ X0) @ t_a) @
% 34.41/5.61 (c_times @ v_c @ (c_HOL_Oabs @ (v_f @ X0) @ t_a) @ t_a) @ t_a)),
% 34.41/5.61 inference('cnf', [status(esa)], [zf_stmt_0])).
% 34.41/5.61 thf(zip_derived_cl1085, plain,
% 34.41/5.61 (![X0 : $i]:
% 34.41/5.61 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 34.41/5.61 | (class_Orderings_Oorder @ X0))),
% 34.41/5.61 inference('cnf', [status(esa)],
% 34.41/5.61 [clsrel_Ring__and__Field_Oordered__idom_44])).
% 34.41/5.61 thf(zip_derived_cl1085, plain,
% 34.41/5.61 (![X0 : $i]:
% 34.41/5.61 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 34.41/5.61 | (class_Orderings_Oorder @ X0))),
% 34.41/5.61 inference('cnf', [status(esa)],
% 34.41/5.61 [clsrel_Ring__and__Field_Oordered__idom_44])).
% 34.41/5.61 thf(cls_conjecture_2, conjecture,
% 34.41/5.61 (c_lessequals @
% 34.41/5.61 ( c_HOL_Oabs @ ( v_h @ v_x ) @ t_a ) @
% 34.41/5.61 ( c_times @
% 34.41/5.61 ( c_HOL_Oabs @ v_c @ t_a ) @ ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_a ) @ t_a ) @
% 34.41/5.61 t_a)).
% 34.41/5.61 thf(zf_stmt_1, negated_conjecture,
% 34.41/5.61 (~( c_lessequals @
% 34.41/5.61 ( c_HOL_Oabs @ ( v_h @ v_x ) @ t_a ) @
% 34.41/5.61 ( c_times @
% 34.41/5.61 ( c_HOL_Oabs @ v_c @ t_a ) @ ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_a ) @
% 34.41/5.61 t_a ) @
% 34.41/5.61 t_a )),
% 34.41/5.61 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 34.41/5.61 thf(zip_derived_cl1416, plain,
% 34.41/5.61 (~ (c_lessequals @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @
% 34.41/5.61 (c_times @ (c_HOL_Oabs @ v_c @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @ t_a) @
% 34.41/5.61 t_a)),
% 34.41/5.61 inference('cnf', [status(esa)], [zf_stmt_1])).
% 34.41/5.61 thf(cls_Orderings_Oorder__class_Oorder__trans_0, axiom,
% 34.41/5.61 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 34.41/5.61 ( ~( c_lessequals @ V_y @ V_z @ T_a ) ) |
% 34.41/5.61 ( ~( c_lessequals @ V_x @ V_y @ T_a ) ) |
% 34.41/5.61 ( c_lessequals @ V_x @ V_z @ T_a ))).
% 34.41/5.61 thf(zip_derived_cl1412, plain,
% 34.41/5.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.41/5.61 (~ (class_Orderings_Oorder @ X0)
% 34.41/5.61 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 34.41/5.61 | ~ (c_lessequals @ X3 @ X1 @ X0)
% 34.41/5.61 | (c_lessequals @ X3 @ X2 @ X0))),
% 34.41/5.61 inference('cnf', [status(esa)],
% 34.41/5.61 [cls_Orderings_Oorder__class_Oorder__trans_0])).
% 34.41/5.61 thf(zip_derived_cl7740, plain,
% 34.41/5.61 (![X0 : $i]:
% 34.41/5.61 (~ (class_Orderings_Oorder @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ X0 @
% 34.41/5.61 (c_times @ (c_HOL_Oabs @ v_c @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @ t_a) @
% 34.41/5.61 t_a)
% 34.41/5.61 | ~ (c_lessequals @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ X0 @ t_a))),
% 34.41/5.61 inference('s_sup+', [status(thm)],
% 34.41/5.61 [zip_derived_cl1416, zip_derived_cl1412])).
% 34.41/5.61 thf(zip_derived_cl7843, plain,
% 34.41/5.61 (![X0 : $i]:
% 34.41/5.61 (~ (class_Ring__and__Field_Oordered__idom @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ X0 @
% 34.41/5.61 (c_times @ (c_HOL_Oabs @ v_c @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @ t_a) @
% 34.41/5.61 t_a)
% 34.41/5.61 | ~ (c_lessequals @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ X0 @ t_a))),
% 34.41/5.61 inference('s_sup-', [status(thm)],
% 34.41/5.61 [zip_derived_cl1085, zip_derived_cl7740])).
% 34.41/5.61 thf(tfree_tcs, conjecture,
% 34.41/5.61 (~( class_Ring__and__Field_Oordered__idom @ t_a ))).
% 34.41/5.61 thf(zf_stmt_2, negated_conjecture,
% 34.41/5.61 (class_Ring__and__Field_Oordered__idom @ t_a),
% 34.41/5.61 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 34.41/5.61 thf(zip_derived_cl1417, plain,
% 34.41/5.61 ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 34.41/5.61 inference('cnf', [status(esa)], [zf_stmt_2])).
% 34.41/5.61 thf(zip_derived_cl7846, plain,
% 34.41/5.61 (![X0 : $i]:
% 34.41/5.61 (~ (c_lessequals @ X0 @
% 34.41/5.61 (c_times @ (c_HOL_Oabs @ v_c @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @ t_a) @
% 34.41/5.61 t_a)
% 34.41/5.61 | ~ (c_lessequals @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ X0 @ t_a))),
% 34.41/5.61 inference('demod', [status(thm)],
% 34.41/5.61 [zip_derived_cl7843, zip_derived_cl1417])).
% 34.41/5.61 thf(zip_derived_cl1412, plain,
% 34.41/5.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.41/5.61 (~ (class_Orderings_Oorder @ X0)
% 34.41/5.61 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 34.41/5.61 | ~ (c_lessequals @ X3 @ X1 @ X0)
% 34.41/5.61 | (c_lessequals @ X3 @ X2 @ X0))),
% 34.41/5.61 inference('cnf', [status(esa)],
% 34.41/5.61 [cls_Orderings_Oorder__class_Oorder__trans_0])).
% 34.41/5.61 thf(zip_derived_cl8479, plain,
% 34.41/5.61 (![X0 : $i, X1 : $i]:
% 34.41/5.61 (~ (c_lessequals @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ X0 @ t_a)
% 34.41/5.61 | ~ (class_Orderings_Oorder @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ X1 @
% 34.41/5.61 (c_times @ (c_HOL_Oabs @ v_c @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @ t_a) @
% 34.41/5.61 t_a)
% 34.41/5.61 | ~ (c_lessequals @ X0 @ X1 @ t_a))),
% 34.41/5.61 inference('s_sup+', [status(thm)],
% 34.41/5.61 [zip_derived_cl7846, zip_derived_cl1412])).
% 34.41/5.61 thf(zip_derived_cl8911, plain,
% 34.41/5.61 (![X0 : $i, X1 : $i]:
% 34.41/5.61 (~ (class_Ring__and__Field_Oordered__idom @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ X0 @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ X1 @
% 34.41/5.61 (c_times @ (c_HOL_Oabs @ v_c @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @ t_a) @
% 34.41/5.61 t_a)
% 34.41/5.61 | ~ (c_lessequals @ X0 @ X1 @ t_a))),
% 34.41/5.61 inference('s_sup-', [status(thm)],
% 34.41/5.61 [zip_derived_cl1085, zip_derived_cl8479])).
% 34.41/5.61 thf(zip_derived_cl1417, plain,
% 34.41/5.61 ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 34.41/5.61 inference('cnf', [status(esa)], [zf_stmt_2])).
% 34.41/5.61 thf(zip_derived_cl8914, plain,
% 34.41/5.61 (![X0 : $i, X1 : $i]:
% 34.41/5.61 (~ (c_lessequals @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ X0 @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ X1 @
% 34.41/5.61 (c_times @ (c_HOL_Oabs @ v_c @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @ t_a) @
% 34.41/5.61 t_a)
% 34.41/5.61 | ~ (c_lessequals @ X0 @ X1 @ t_a))),
% 34.41/5.61 inference('demod', [status(thm)],
% 34.41/5.61 [zip_derived_cl8911, zip_derived_cl1417])).
% 34.41/5.61 thf(zip_derived_cl8918, plain,
% 34.41/5.61 (![X0 : $i]:
% 34.41/5.61 (~ (c_lessequals @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_h @ X0) @ t_a) @ t_a)
% 34.41/5.61 | ~ (c_lessequals @
% 34.41/5.61 (c_times @ v_c @ (c_HOL_Oabs @ (v_f @ X0) @ t_a) @ t_a) @
% 34.41/5.61 (c_times @ (c_HOL_Oabs @ v_c @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @ t_a) @
% 34.41/5.61 t_a))),
% 34.41/5.61 inference('s_sup-', [status(thm)],
% 34.41/5.61 [zip_derived_cl1414, zip_derived_cl8914])).
% 34.41/5.61 thf(cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0, axiom,
% 34.41/5.61 (( ~( class_Ring__and__Field_Opordered__semiring @ T_a ) ) |
% 34.41/5.61 ( ~( c_lessequals @ V_a @ V_b @ T_a ) ) |
% 34.41/5.61 ( ~( c_lessequals @ c_0 @ V_c @ T_a ) ) |
% 34.41/5.61 ( c_lessequals @
% 34.41/5.61 ( c_times @ V_a @ V_c @ T_a ) @ ( c_times @ V_b @ V_c @ T_a ) @ T_a ))).
% 34.41/5.61 thf(zip_derived_cl1413, plain,
% 34.41/5.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.41/5.61 (~ (class_Ring__and__Field_Opordered__semiring @ X0)
% 34.41/5.61 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 34.41/5.61 | ~ (c_lessequals @ c_0 @ X3 @ X0)
% 34.41/5.61 | (c_lessequals @ (c_times @ X1 @ X3 @ X0) @
% 34.41/5.61 (c_times @ X2 @ X3 @ X0) @ X0))),
% 34.41/5.61 inference('cnf', [status(esa)],
% 34.41/5.61 [cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0])).
% 34.41/5.61 thf(zip_derived_cl12095, plain,
% 34.41/5.61 ((~ (c_lessequals @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a)
% 34.41/5.61 | ~ (class_Ring__and__Field_Opordered__semiring @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ v_c @ (c_HOL_Oabs @ v_c @ t_a) @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ c_0 @ (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @ t_a))),
% 34.41/5.61 inference('s_sup+', [status(thm)],
% 34.41/5.61 [zip_derived_cl8918, zip_derived_cl1413])).
% 34.41/5.61 thf(zip_derived_cl12099, plain,
% 34.41/5.61 ((~ (class_Ring__and__Field_Oordered__idom @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ v_c @ (c_HOL_Oabs @ v_c @ t_a) @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ c_0 @ (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @ t_a))),
% 34.41/5.61 inference('s_sup-', [status(thm)],
% 34.41/5.61 [zip_derived_cl1083, zip_derived_cl12095])).
% 34.41/5.61 thf(zip_derived_cl1417, plain,
% 34.41/5.61 ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 34.41/5.61 inference('cnf', [status(esa)], [zf_stmt_2])).
% 34.41/5.61 thf(zip_derived_cl12104, plain,
% 34.41/5.61 ((~ (c_lessequals @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ v_c @ (c_HOL_Oabs @ v_c @ t_a) @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ c_0 @ (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @ t_a))),
% 34.41/5.61 inference('demod', [status(thm)],
% 34.41/5.61 [zip_derived_cl12099, zip_derived_cl1417])).
% 34.41/5.61 thf(zip_derived_cl12150, plain,
% 34.41/5.61 ((~ (class_OrderedGroup_Olordered__ab__group__abs @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ c_0 @ (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @ t_a))),
% 34.41/5.61 inference('s_sup-', [status(thm)],
% 34.41/5.61 [zip_derived_cl1410, zip_derived_cl12104])).
% 34.41/5.61 thf(cls_OrderedGroup_Oabs__ge__zero_0, axiom,
% 34.41/5.61 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 34.41/5.61 ( c_lessequals @ c_0 @ ( c_HOL_Oabs @ V_a @ T_a ) @ T_a ))).
% 34.41/5.61 thf(zip_derived_cl1411, plain,
% 34.41/5.61 (![X0 : $i, X1 : $i]:
% 34.41/5.61 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 34.41/5.61 | (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 34.41/5.61 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__ge__zero_0])).
% 34.41/5.61 thf(zip_derived_cl12151, plain,
% 34.41/5.61 ((~ (c_lessequals @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a)
% 34.41/5.61 | ~ (class_OrderedGroup_Olordered__ab__group__abs @ t_a))),
% 34.41/5.61 inference('clc', [status(thm)], [zip_derived_cl12150, zip_derived_cl1411])).
% 34.41/5.61 thf(zip_derived_cl12154, plain,
% 34.41/5.61 ((~ (class_Ring__and__Field_Oordered__idom @ t_a)
% 34.41/5.61 | ~ (c_lessequals @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a))),
% 34.41/5.61 inference('s_sup-', [status(thm)],
% 34.41/5.61 [zip_derived_cl1092, zip_derived_cl12151])).
% 34.41/5.61 thf(zip_derived_cl1417, plain,
% 34.41/5.61 ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 34.41/5.61 inference('cnf', [status(esa)], [zf_stmt_2])).
% 34.41/5.61 thf(zip_derived_cl12156, plain,
% 34.41/5.61 (~ (c_lessequals @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @
% 34.41/5.61 (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a)),
% 34.41/5.61 inference('demod', [status(thm)],
% 34.41/5.61 [zip_derived_cl12154, zip_derived_cl1417])).
% 34.41/5.61 thf(cls_Orderings_Oorder__class_Oaxioms__1_0, axiom,
% 34.41/5.61 (( ~( class_Orderings_Oorder @ T_a ) ) | ( c_lessequals @ V_x @ V_x @ T_a ))).
% 34.41/5.61 thf(zip_derived_cl318, plain,
% 34.41/5.61 (![X0 : $i, X1 : $i]:
% 34.41/5.61 (~ (class_Orderings_Oorder @ X0) | (c_lessequals @ X1 @ X1 @ X0))),
% 34.41/5.61 inference('cnf', [status(esa)],
% 34.41/5.61 [cls_Orderings_Oorder__class_Oaxioms__1_0])).
% 34.41/5.61 thf(zip_derived_cl12163, plain, (~ (class_Orderings_Oorder @ t_a)),
% 34.41/5.61 inference('s_sup+', [status(thm)],
% 34.41/5.61 [zip_derived_cl12156, zip_derived_cl318])).
% 34.41/5.61 thf(zip_derived_cl12171, plain,
% 34.41/5.61 (~ (class_Ring__and__Field_Oordered__idom @ t_a)),
% 34.41/5.61 inference('s_sup-', [status(thm)],
% 34.41/5.61 [zip_derived_cl1085, zip_derived_cl12163])).
% 34.41/5.61 thf(zip_derived_cl1417, plain,
% 34.41/5.61 ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 34.41/5.61 inference('cnf', [status(esa)], [zf_stmt_2])).
% 34.41/5.61 thf(zip_derived_cl12174, plain, ($false),
% 34.41/5.61 inference('demod', [status(thm)],
% 34.41/5.61 [zip_derived_cl12171, zip_derived_cl1417])).
% 34.41/5.61
% 34.41/5.61 % SZS output end Refutation
% 34.41/5.61
% 34.41/5.61
% 34.41/5.61 % Terminating...
% 35.38/5.76 % Runner terminated.
% 35.38/5.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------