TSTP Solution File: ANA025-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA025-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HtVJHVoTAR true
% Computer : n012.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 0.21s 0.70s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA025-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HtVJHVoTAR true
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 18:42:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.60 % Total configuration time : 435
% 0.21/0.60 % Estimated wc time : 1092
% 0.21/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.70 % Solved by fo/fo3_bce.sh.
% 0.21/0.70 % BCE start: 12
% 0.21/0.70 % BCE eliminated: 0
% 0.21/0.70 % PE start: 12
% 0.21/0.70 logic: neq
% 0.21/0.70 % PE eliminated: 6
% 0.21/0.70 % done 14 iterations in 0.011s
% 0.21/0.70 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.70 % SZS output start Refutation
% 0.21/0.70 thf(c_0_type, type, c_0: $i).
% 0.21/0.70 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 0.21/0.70 thf(v_f_type, type, v_f: $i > $i).
% 0.21/0.70 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 0.21/0.70 thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs:
% 0.21/0.70 $i > $o).
% 0.21/0.70 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.21/0.70 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 0.21/0.70 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 0.21/0.70 $i > $o).
% 0.21/0.70 thf(v_k_type, type, v_k: $i > $i).
% 0.21/0.70 thf(c_Orderings_Omax_type, type, c_Orderings_Omax: $i > $i > $i > $i).
% 0.21/0.70 thf(v_x_type, type, v_x: $i).
% 0.21/0.70 thf(t_b_type, type, t_b: $i).
% 0.21/0.70 thf(class_Orderings_Olinorder_type, type, class_Orderings_Olinorder: $i > $o).
% 0.21/0.70 thf(class_LOrder_Ojoin__semilorder_type, type, class_LOrder_Ojoin__semilorder:
% 0.21/0.70 $i > $o).
% 0.21/0.70 thf(c_less_type, type, c_less: $i > $i > $i > $o).
% 0.21/0.70 thf(v_g_type, type, v_g: $i > $i).
% 0.21/0.70 thf(cls_conjecture_2, conjecture,
% 0.21/0.70 (c_lessequals @
% 0.21/0.70 c_0 @ ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b)).
% 0.21/0.70 thf(zf_stmt_0, negated_conjecture,
% 0.21/0.70 (~( c_lessequals @
% 0.21/0.70 c_0 @ ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b )),
% 0.21/0.70 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.21/0.70 thf(zip_derived_cl5, plain,
% 0.21/0.70 (~ (c_lessequals @ c_0 @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @
% 0.21/0.70 t_b)),
% 0.21/0.70 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.70 thf(cls_conjecture_3, conjecture,
% 0.21/0.70 (c_lessequals @
% 0.21/0.70 ( c_Orderings_Omax @
% 0.21/0.70 ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ c_0 @ t_b ) @
% 0.21/0.70 ( c_HOL_Oabs @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @
% 0.21/0.70 t_b)).
% 0.21/0.70 thf(zf_stmt_1, negated_conjecture,
% 0.21/0.70 (~( c_lessequals @
% 0.21/0.70 ( c_Orderings_Omax @
% 0.21/0.70 ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ c_0 @ t_b ) @
% 0.21/0.70 ( c_HOL_Oabs @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @
% 0.21/0.70 t_b )),
% 0.21/0.70 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.21/0.70 thf(zip_derived_cl6, plain,
% 0.21/0.70 (~ (c_lessequals @
% 0.21/0.70 (c_Orderings_Omax @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @
% 0.21/0.70 c_0 @ t_b) @
% 0.21/0.70 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 0.21/0.70 t_b)),
% 0.21/0.70 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.70 thf(tfree_tcs, conjecture,
% 0.21/0.70 (~( class_Ring__and__Field_Oordered__idom @ t_b ))).
% 0.21/0.70 thf(zf_stmt_2, negated_conjecture,
% 0.21/0.70 (class_Ring__and__Field_Oordered__idom @ t_b),
% 0.21/0.70 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 0.21/0.70 thf(zip_derived_cl11, plain,
% 0.21/0.70 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.21/0.70 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.70 thf(clsrel_Ring__and__Field_Oordered__idom_33, axiom,
% 0.21/0.70 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.21/0.70 ( class_Orderings_Olinorder @ T ))).
% 0.21/0.70 thf(zip_derived_cl9, plain,
% 0.21/0.70 (![X0 : $i]:
% 0.21/0.70 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.21/0.70 | (class_Orderings_Olinorder @ X0))),
% 0.21/0.70 inference('cnf', [status(esa)],
% 0.21/0.70 [clsrel_Ring__and__Field_Oordered__idom_33])).
% 0.21/0.70 thf(zip_derived_cl14, plain, ( (class_Orderings_Olinorder @ t_b)),
% 0.21/0.70 inference('dp-resolution', [status(thm)],
% 0.21/0.70 [zip_derived_cl11, zip_derived_cl9])).
% 0.21/0.70 thf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2, axiom,
% 0.21/0.70 (( ~( class_Orderings_Olinorder @ T_b ) ) |
% 0.21/0.70 ( ~( c_lessequals @ V_y @ V_z @ T_b ) ) |
% 0.21/0.70 ( ~( c_lessequals @ V_x @ V_z @ T_b ) ) |
% 0.21/0.70 ( c_lessequals @ ( c_Orderings_Omax @ V_x @ V_y @ T_b ) @ V_z @ T_b ))).
% 0.21/0.70 thf(zip_derived_cl2, plain,
% 0.21/0.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.70 (~ (class_Orderings_Olinorder @ X0)
% 0.21/0.70 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 0.21/0.70 | ~ (c_lessequals @ X3 @ X2 @ X0)
% 0.21/0.70 | (c_lessequals @ (c_Orderings_Omax @ X3 @ X1 @ X0) @ X2 @ X0))),
% 0.21/0.70 inference('cnf', [status(esa)],
% 0.21/0.70 [cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2])).
% 0.21/0.70 thf(zip_derived_cl18, plain,
% 0.21/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.70 ( (c_lessequals @ (c_Orderings_Omax @ X2 @ X1 @ t_b) @ X0 @ t_b)
% 0.21/0.70 | ~ (c_lessequals @ X2 @ X0 @ t_b)
% 0.21/0.70 | ~ (c_lessequals @ X1 @ X0 @ t_b))),
% 0.21/0.70 inference('dp-resolution', [status(thm)],
% 0.21/0.70 [zip_derived_cl14, zip_derived_cl2])).
% 0.21/0.70 thf(zip_derived_cl27, plain,
% 0.21/0.70 ((~ (c_lessequals @ c_0 @
% 0.21/0.70 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 0.21/0.70 t_b)
% 0.21/0.70 | ~ (c_lessequals @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @
% 0.21/0.70 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 0.21/0.70 t_b))),
% 0.21/0.70 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl18])).
% 0.21/0.70 thf(zip_derived_cl11, plain,
% 0.21/0.70 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.21/0.70 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.70 thf(clsrel_Ring__and__Field_Oordered__idom_50, axiom,
% 0.21/0.70 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.21/0.70 ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 0.21/0.70 thf(zip_derived_cl10, plain,
% 0.21/0.70 (![X0 : $i]:
% 0.21/0.70 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.21/0.70 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 0.21/0.70 inference('cnf', [status(esa)],
% 0.21/0.70 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 0.21/0.70 thf(zip_derived_cl15, plain,
% 0.21/0.70 ( (class_OrderedGroup_Olordered__ab__group__abs @ t_b)),
% 0.21/0.70 inference('dp-resolution', [status(thm)],
% 0.21/0.70 [zip_derived_cl11, zip_derived_cl10])).
% 0.21/0.70 thf(cls_OrderedGroup_Oabs__ge__zero_0, axiom,
% 0.21/0.70 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 0.21/0.70 ( c_lessequals @ c_0 @ ( c_HOL_Oabs @ V_a @ T_a ) @ T_a ))).
% 0.21/0.70 thf(zip_derived_cl0, plain,
% 0.21/0.70 (![X0 : $i, X1 : $i]:
% 0.21/0.70 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.21/0.70 | (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 0.21/0.70 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__ge__zero_0])).
% 0.21/0.70 thf(zip_derived_cl16, plain,
% 0.21/0.70 (![X0 : $i]: (c_lessequals @ c_0 @ (c_HOL_Oabs @ X0 @ t_b) @ t_b)),
% 0.21/0.70 inference('dp-resolution', [status(thm)],
% 0.21/0.70 [zip_derived_cl15, zip_derived_cl0])).
% 0.21/0.70 thf(zip_derived_cl28, plain,
% 0.21/0.70 (~ (c_lessequals @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @
% 0.21/0.70 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 0.21/0.70 t_b)),
% 0.21/0.70 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl16])).
% 0.21/0.70 thf(zip_derived_cl15, plain,
% 0.21/0.70 ( (class_OrderedGroup_Olordered__ab__group__abs @ t_b)),
% 0.21/0.70 inference('dp-resolution', [status(thm)],
% 0.21/0.70 [zip_derived_cl11, zip_derived_cl10])).
% 0.21/0.70 thf(clsrel_OrderedGroup_Olordered__ab__group__abs_15, axiom,
% 0.21/0.70 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T ) ) |
% 0.21/0.70 ( class_LOrder_Ojoin__semilorder @ T ))).
% 0.21/0.70 thf(zip_derived_cl8, plain,
% 0.21/0.70 (![X0 : $i]:
% 0.21/0.70 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.21/0.70 | (class_LOrder_Ojoin__semilorder @ X0))),
% 0.21/0.70 inference('cnf', [status(esa)],
% 0.21/0.70 [clsrel_OrderedGroup_Olordered__ab__group__abs_15])).
% 0.21/0.70 thf(clsrel_LOrder_Ojoin__semilorder_1, axiom,
% 0.21/0.70 (( ~( class_LOrder_Ojoin__semilorder @ T ) ) |
% 0.21/0.70 ( class_Orderings_Oorder @ T ))).
% 0.21/0.70 thf(zip_derived_cl7, plain,
% 0.21/0.70 (![X0 : $i]:
% 0.21/0.70 (~ (class_LOrder_Ojoin__semilorder @ X0)
% 0.21/0.70 | (class_Orderings_Oorder @ X0))),
% 0.21/0.70 inference('cnf', [status(esa)], [clsrel_LOrder_Ojoin__semilorder_1])).
% 0.21/0.70 thf(zip_derived_cl12, plain,
% 0.21/0.70 (![X0 : $i]:
% 0.21/0.70 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.21/0.70 | (class_Orderings_Oorder @ X0))),
% 0.21/0.70 inference('dp-resolution', [status(thm)],
% 0.21/0.70 [zip_derived_cl8, zip_derived_cl7])).
% 0.21/0.70 thf(zip_derived_cl17, plain, ( (class_Orderings_Oorder @ t_b)),
% 0.21/0.70 inference('dp-resolution', [status(thm)],
% 0.21/0.70 [zip_derived_cl15, zip_derived_cl12])).
% 0.21/0.70 thf(zip_derived_cl14, plain, ( (class_Orderings_Olinorder @ t_b)),
% 0.21/0.70 inference('dp-resolution', [status(thm)],
% 0.21/0.70 [zip_derived_cl11, zip_derived_cl9])).
% 0.21/0.70 thf(cls_Orderings_Olinorder__not__le_0, axiom,
% 0.21/0.70 (( ~( class_Orderings_Olinorder @ T_a ) ) | ( c_less @ V_y @ V_x @ T_a ) |
% 0.21/0.70 ( c_lessequals @ V_x @ V_y @ T_a ))).
% 0.21/0.70 thf(zip_derived_cl1, plain,
% 0.21/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.70 (~ (class_Orderings_Olinorder @ X0)
% 0.21/0.70 | (c_less @ X1 @ X2 @ X0)
% 0.21/0.70 | (c_lessequals @ X2 @ X1 @ X0))),
% 0.21/0.70 inference('cnf', [status(esa)], [cls_Orderings_Olinorder__not__le_0])).
% 0.21/0.70 thf(cls_Orderings_Oorder__less__imp__le_0, axiom,
% 0.21/0.70 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 0.21/0.70 ( ~( c_less @ V_x @ V_y @ T_a ) ) | ( c_lessequals @ V_x @ V_y @ T_a ))).
% 0.21/0.70 thf(zip_derived_cl4, plain,
% 0.21/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.70 (~ (class_Orderings_Oorder @ X0)
% 0.21/0.70 | ~ (c_less @ X1 @ X2 @ X0)
% 0.21/0.70 | (c_lessequals @ X1 @ X2 @ X0))),
% 0.21/0.70 inference('cnf', [status(esa)], [cls_Orderings_Oorder__less__imp__le_0])).
% 0.21/0.70 thf(zip_derived_cl13, plain,
% 0.21/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.70 ( (c_lessequals @ X1 @ X2 @ X0)
% 0.21/0.70 | ~ (class_Orderings_Olinorder @ X0)
% 0.21/0.70 | (c_lessequals @ X2 @ X1 @ X0)
% 0.21/0.70 | ~ (class_Orderings_Oorder @ X0))),
% 0.21/0.70 inference('dp-resolution', [status(thm)],
% 0.21/0.70 [zip_derived_cl1, zip_derived_cl4])).
% 0.21/0.70 thf(zip_derived_cl19, plain,
% 0.21/0.70 (![X0 : $i, X1 : $i]:
% 0.21/0.70 (~ (class_Orderings_Oorder @ t_b)
% 0.21/0.70 | (c_lessequals @ X1 @ X0 @ t_b)
% 0.21/0.70 | (c_lessequals @ X0 @ X1 @ t_b))),
% 0.21/0.70 inference('dp-resolution', [status(thm)],
% 0.21/0.70 [zip_derived_cl14, zip_derived_cl13])).
% 0.21/0.70 thf(zip_derived_cl21, plain,
% 0.21/0.70 (![X0 : $i, X1 : $i]:
% 0.21/0.70 ( (c_lessequals @ X1 @ X0 @ t_b) | (c_lessequals @ X0 @ X1 @ t_b))),
% 0.21/0.70 inference('dp-resolution', [status(thm)],
% 0.21/0.70 [zip_derived_cl17, zip_derived_cl19])).
% 0.21/0.70 thf(zip_derived_cl16, plain,
% 0.21/0.70 (![X0 : $i]: (c_lessequals @ c_0 @ (c_HOL_Oabs @ X0 @ t_b) @ t_b)),
% 0.21/0.70 inference('dp-resolution', [status(thm)],
% 0.21/0.70 [zip_derived_cl15, zip_derived_cl0])).
% 0.21/0.70 thf(zip_derived_cl17, plain, ( (class_Orderings_Oorder @ t_b)),
% 0.21/0.70 inference('dp-resolution', [status(thm)],
% 0.21/0.70 [zip_derived_cl15, zip_derived_cl12])).
% 0.21/0.70 thf(cls_Orderings_Oorder__class_Oorder__trans_0, axiom,
% 0.21/0.70 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 0.21/0.70 ( ~( c_lessequals @ V_y @ V_z @ T_a ) ) |
% 0.21/0.70 ( ~( c_lessequals @ V_x @ V_y @ T_a ) ) |
% 0.21/0.70 ( c_lessequals @ V_x @ V_z @ T_a ))).
% 0.21/0.70 thf(zip_derived_cl3, plain,
% 0.21/0.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.70 (~ (class_Orderings_Oorder @ X0)
% 0.21/0.70 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 0.21/0.70 | ~ (c_lessequals @ X3 @ X1 @ X0)
% 0.21/0.70 | (c_lessequals @ X3 @ X2 @ X0))),
% 0.21/0.70 inference('cnf', [status(esa)],
% 0.21/0.70 [cls_Orderings_Oorder__class_Oorder__trans_0])).
% 0.21/0.70 thf(zip_derived_cl20, plain,
% 0.21/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.70 ( (c_lessequals @ X1 @ X0 @ t_b)
% 0.21/0.70 | ~ (c_lessequals @ X1 @ X2 @ t_b)
% 0.21/0.70 | ~ (c_lessequals @ X2 @ X0 @ t_b))),
% 0.21/0.70 inference('dp-resolution', [status(thm)],
% 0.21/0.70 [zip_derived_cl17, zip_derived_cl3])).
% 0.21/0.70 thf(zip_derived_cl22, plain,
% 0.21/0.70 (![X0 : $i, X1 : $i]:
% 0.21/0.70 (~ (c_lessequals @ (c_HOL_Oabs @ X0 @ t_b) @ X1 @ t_b)
% 0.21/0.70 | (c_lessequals @ c_0 @ X1 @ t_b))),
% 0.21/0.70 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl20])).
% 0.21/0.70 thf(zip_derived_cl31, plain,
% 0.21/0.70 (![X0 : $i, X1 : $i]:
% 0.21/0.70 ( (c_lessequals @ X0 @ (c_HOL_Oabs @ X1 @ t_b) @ t_b)
% 0.21/0.70 | (c_lessequals @ c_0 @ X0 @ t_b))),
% 0.21/0.70 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl22])).
% 0.21/0.70 thf(zip_derived_cl47, plain,
% 0.21/0.70 ( (c_lessequals @ c_0 @ (c_minus @ (v_k @ v_x) @ (v_g @ v_x) @ t_b) @ t_b)),
% 0.21/0.70 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl31])).
% 0.21/0.70 thf(zip_derived_cl49, plain, ($false),
% 0.21/0.70 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl47])).
% 0.21/0.70
% 0.21/0.70 % SZS output end Refutation
% 0.21/0.70
% 0.21/0.70
% 0.21/0.70 % Terminating...
% 0.21/0.80 % Runner terminated.
% 0.21/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------