TSTP Solution File: ANA018-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA018-2 : 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.857UBftlU2 true
% Computer : n013.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 17:25:56 EDT 2023
% Result : Unsatisfiable 0.19s 0.77s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ANA018-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.857UBftlU2 true
% 0.14/0.33 % Computer : n013.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Fri Aug 25 18:03:17 EDT 2023
% 0.14/0.33 % CPUTime :
% 0.14/0.33 % Running portfolio for 300 s
% 0.14/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.33 % Number of cores: 8
% 0.14/0.33 % Python version: Python 3.6.8
% 0.14/0.33 % Running in FO mode
% 0.19/0.61 % Total configuration time : 435
% 0.19/0.61 % Estimated wc time : 1092
% 0.19/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.77 % Solved by fo/fo3_bce.sh.
% 0.19/0.77 % BCE start: 13
% 0.19/0.77 % BCE eliminated: 0
% 0.19/0.77 % PE start: 13
% 0.19/0.77 logic: eq
% 0.19/0.77 % PE eliminated: 6
% 0.19/0.77 % done 13 iterations in 0.026s
% 0.19/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.19/0.77 % SZS output start Refutation
% 0.19/0.77 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.19/0.77 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 0.19/0.77 thf(c_0_type, type, c_0: $i).
% 0.19/0.77 thf(v_f_type, type, v_f: $i > $i).
% 0.19/0.77 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 0.19/0.77 thf(v_xa_type, type, v_xa: $i).
% 0.19/0.77 thf(class_LOrder_Ojoin__semilorder_type, type, class_LOrder_Ojoin__semilorder:
% 0.19/0.77 $i > $o).
% 0.19/0.77 thf(class_OrderedGroup_Osemigroup__mult_type, type, class_OrderedGroup_Osemigroup__mult:
% 0.19/0.77 $i > $o).
% 0.19/0.77 thf(t_b_type, type, t_b: $i).
% 0.19/0.77 thf(c_less_type, type, c_less: $i > $i > $i > $o).
% 0.19/0.77 thf(v_c_type, type, v_c: $i).
% 0.19/0.77 thf(v_x_type, type, v_x: $i > $i).
% 0.19/0.77 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 0.19/0.77 $i > $o).
% 0.19/0.77 thf(v_ca_type, type, v_ca: $i).
% 0.19/0.77 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 0.19/0.77 thf(class_Ring__and__Field_Opordered__semiring_type, type, class_Ring__and__Field_Opordered__semiring:
% 0.19/0.77 $i > $o).
% 0.19/0.77 thf(v_g_type, type, v_g: $i > $i).
% 0.19/0.77 thf(cls_conjecture_4, conjecture,
% 0.19/0.77 (c_lessequals @
% 0.19/0.77 ( c_HOL_Oabs @ ( v_x @ v_xa ) @ t_b ) @
% 0.19/0.77 ( c_times @
% 0.19/0.77 ( c_times @ v_ca @ v_c @ t_b ) @
% 0.19/0.77 ( c_HOL_Oabs @ ( v_g @ v_xa ) @ t_b ) @ t_b ) @
% 0.19/0.77 t_b)).
% 0.19/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.19/0.77 (~( c_lessequals @
% 0.19/0.77 ( c_HOL_Oabs @ ( v_x @ v_xa ) @ t_b ) @
% 0.19/0.77 ( c_times @
% 0.19/0.77 ( c_times @ v_ca @ v_c @ t_b ) @
% 0.19/0.77 ( c_HOL_Oabs @ ( v_g @ v_xa ) @ t_b ) @ t_b ) @
% 0.19/0.77 t_b )),
% 0.19/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.19/0.77 thf(zip_derived_cl3, plain,
% 0.19/0.77 (~ (c_lessequals @ (c_HOL_Oabs @ (v_x @ v_xa) @ t_b) @
% 0.19/0.77 (c_times @ (c_times @ v_ca @ v_c @ t_b) @
% 0.19/0.77 (c_HOL_Oabs @ (v_g @ v_xa) @ t_b) @ t_b) @
% 0.19/0.77 t_b)),
% 0.19/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.19/0.77 thf(tfree_tcs, conjecture,
% 0.19/0.77 (~( class_Ring__and__Field_Oordered__idom @ t_b ))).
% 0.19/0.77 thf(zf_stmt_1, negated_conjecture,
% 0.19/0.77 (class_Ring__and__Field_Oordered__idom @ t_b),
% 0.19/0.77 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 0.19/0.77 thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.19/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.19/0.77 thf(clsrel_Ring__and__Field_Oordered__idom_21, axiom,
% 0.19/0.77 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.19/0.77 ( class_OrderedGroup_Osemigroup__mult @ T ))).
% 0.19/0.77 thf(zip_derived_cl10, plain,
% 0.19/0.77 (![X0 : $i]:
% 0.19/0.77 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.19/0.77 | (class_OrderedGroup_Osemigroup__mult @ X0))),
% 0.19/0.77 inference('cnf', [status(esa)],
% 0.19/0.77 [clsrel_Ring__and__Field_Oordered__idom_21])).
% 0.19/0.77 thf(cls_OrderedGroup_Omult__ac__1_0, axiom,
% 0.19/0.77 (( ~( class_OrderedGroup_Osemigroup__mult @ T_a ) ) |
% 0.19/0.77 ( ( c_times @ ( c_times @ V_a @ V_b @ T_a ) @ V_c @ T_a ) =
% 0.19/0.77 ( c_times @ V_a @ ( c_times @ V_b @ V_c @ T_a ) @ T_a ) ))).
% 0.19/0.77 thf(zip_derived_cl5, plain,
% 0.19/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.19/0.77 (~ (class_OrderedGroup_Osemigroup__mult @ X0)
% 0.19/0.77 | ((c_times @ (c_times @ X1 @ X2 @ X0) @ X3 @ X0)
% 0.19/0.77 = (c_times @ X1 @ (c_times @ X2 @ X3 @ X0) @ X0)))),
% 0.19/0.77 inference('cnf', [status(esa)], [cls_OrderedGroup_Omult__ac__1_0])).
% 0.19/0.77 thf(zip_derived_cl65, plain,
% 0.19/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.19/0.77 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.19/0.77 | ((c_times @ (c_times @ X3 @ X2 @ X0) @ X1 @ X0)
% 0.19/0.77 = (c_times @ X3 @ (c_times @ X2 @ X1 @ X0) @ X0)))),
% 0.19/0.77 inference('dp-resolution', [status(thm)],
% 0.19/0.77 [zip_derived_cl10, zip_derived_cl5])).
% 0.19/0.77 thf(zip_derived_cl69, plain,
% 0.19/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.77 ((c_times @ (c_times @ X2 @ X1 @ t_b) @ X0 @ t_b)
% 0.19/0.77 = (c_times @ X2 @ (c_times @ X1 @ X0 @ t_b) @ t_b))),
% 0.19/0.77 inference('dp-resolution', [status(thm)],
% 0.19/0.77 [zip_derived_cl4, zip_derived_cl65])).
% 0.19/0.77 thf(zip_derived_cl81, plain,
% 0.19/0.77 (~ (c_lessequals @ (c_HOL_Oabs @ (v_x @ v_xa) @ t_b) @
% 0.19/0.77 (c_times @ v_ca @
% 0.19/0.77 (c_times @ v_c @ (c_HOL_Oabs @ (v_g @ v_xa) @ t_b) @ t_b) @ t_b) @
% 0.19/0.77 t_b)),
% 0.19/0.77 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl69])).
% 0.19/0.77 thf(cls_conjecture_3, conjecture,
% 0.19/0.77 (~( c_lessequals @
% 0.19/0.77 ( c_HOL_Oabs @ ( v_x @ V_U ) @ t_b ) @
% 0.19/0.77 ( c_times @ v_ca @ ( c_HOL_Oabs @ ( v_f @ V_U ) @ t_b ) @ t_b ) @ t_b ))).
% 0.19/0.77 thf(zf_stmt_2, negated_conjecture,
% 0.19/0.77 (c_lessequals @
% 0.19/0.77 ( c_HOL_Oabs @ ( v_x @ V_U ) @ t_b ) @
% 0.19/0.77 ( c_times @ v_ca @ ( c_HOL_Oabs @ ( v_f @ V_U ) @ t_b ) @ t_b ) @ t_b),
% 0.19/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.19/0.77 thf(zip_derived_cl2, plain,
% 0.19/0.77 (![X0 : $i]:
% 0.19/0.77 (c_lessequals @ (c_HOL_Oabs @ (v_x @ X0) @ t_b) @
% 0.19/0.77 (c_times @ v_ca @ (c_HOL_Oabs @ (v_f @ X0) @ t_b) @ t_b) @ t_b)),
% 0.19/0.77 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.19/0.77 thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.19/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.19/0.77 thf(clsrel_Ring__and__Field_Oordered__idom_42, axiom,
% 0.19/0.77 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.19/0.77 ( class_Ring__and__Field_Opordered__semiring @ T ))).
% 0.19/0.77 thf(zip_derived_cl12, plain,
% 0.19/0.77 (![X0 : $i]:
% 0.19/0.77 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.19/0.77 | (class_Ring__and__Field_Opordered__semiring @ X0))),
% 0.19/0.77 inference('cnf', [status(esa)],
% 0.19/0.77 [clsrel_Ring__and__Field_Oordered__idom_42])).
% 0.19/0.77 thf(cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0, axiom,
% 0.19/0.77 (( ~( class_Ring__and__Field_Opordered__semiring @ T_a ) ) |
% 0.19/0.77 ( ~( c_lessequals @ V_a @ V_b @ T_a ) ) |
% 0.19/0.77 ( ~( c_lessequals @ c_0 @ V_c @ T_a ) ) |
% 0.19/0.77 ( c_lessequals @
% 0.19/0.77 ( c_times @ V_c @ V_a @ T_a ) @ ( c_times @ V_c @ V_b @ T_a ) @ T_a ))).
% 0.19/0.77 thf(zip_derived_cl8, plain,
% 0.19/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.19/0.77 (~ (class_Ring__and__Field_Opordered__semiring @ X0)
% 0.19/0.77 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 0.19/0.77 | ~ (c_lessequals @ c_0 @ X3 @ X0)
% 0.19/0.77 | (c_lessequals @ (c_times @ X3 @ X1 @ X0) @
% 0.19/0.77 (c_times @ X3 @ X2 @ X0) @ X0))),
% 0.19/0.77 inference('cnf', [status(esa)],
% 0.19/0.77 [cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0])).
% 0.19/0.77 thf(zip_derived_cl66, plain,
% 0.19/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.19/0.77 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.19/0.77 | (c_lessequals @ (c_times @ X3 @ X2 @ X0) @
% 0.19/0.77 (c_times @ X3 @ X1 @ X0) @ X0)
% 0.19/0.77 | ~ (c_lessequals @ c_0 @ X3 @ X0)
% 0.19/0.77 | ~ (c_lessequals @ X2 @ X1 @ X0))),
% 0.19/0.77 inference('dp-resolution', [status(thm)],
% 0.19/0.77 [zip_derived_cl12, zip_derived_cl8])).
% 0.19/0.77 thf(zip_derived_cl70, plain,
% 0.19/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.77 (~ (c_lessequals @ X2 @ X0 @ t_b)
% 0.19/0.77 | ~ (c_lessequals @ c_0 @ X1 @ t_b)
% 0.19/0.77 | (c_lessequals @ (c_times @ X1 @ X2 @ t_b) @
% 0.19/0.77 (c_times @ X1 @ X0 @ t_b) @ t_b))),
% 0.19/0.77 inference('dp-resolution', [status(thm)],
% 0.19/0.77 [zip_derived_cl4, zip_derived_cl66])).
% 0.19/0.77 thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.19/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.19/0.77 thf(clsrel_Ring__and__Field_Oordered__idom_35, axiom,
% 0.19/0.77 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.19/0.77 ( class_LOrder_Ojoin__semilorder @ T ))).
% 0.19/0.77 thf(zip_derived_cl11, plain,
% 0.19/0.77 (![X0 : $i]:
% 0.19/0.77 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.19/0.77 | (class_LOrder_Ojoin__semilorder @ X0))),
% 0.19/0.77 inference('cnf', [status(esa)],
% 0.19/0.77 [clsrel_Ring__and__Field_Oordered__idom_35])).
% 0.19/0.77 thf(clsrel_LOrder_Ojoin__semilorder_1, axiom,
% 0.19/0.77 (( ~( class_LOrder_Ojoin__semilorder @ T ) ) |
% 0.19/0.77 ( class_Orderings_Oorder @ T ))).
% 0.19/0.77 thf(zip_derived_cl9, plain,
% 0.19/0.77 (![X0 : $i]:
% 0.19/0.77 (~ (class_LOrder_Ojoin__semilorder @ X0)
% 0.19/0.77 | (class_Orderings_Oorder @ X0))),
% 0.19/0.77 inference('cnf', [status(esa)], [clsrel_LOrder_Ojoin__semilorder_1])).
% 0.19/0.77 thf(zip_derived_cl63, plain,
% 0.19/0.77 (![X0 : $i]:
% 0.19/0.77 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.19/0.77 | (class_Orderings_Oorder @ X0))),
% 0.19/0.77 inference('dp-resolution', [status(thm)],
% 0.19/0.77 [zip_derived_cl11, zip_derived_cl9])).
% 0.19/0.77 thf(cls_Orderings_Oorder__class_Oorder__trans_0, axiom,
% 0.19/0.77 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 0.19/0.77 ( ~( c_lessequals @ V_y @ V_z @ T_a ) ) |
% 0.19/0.77 ( ~( c_lessequals @ V_x @ V_y @ T_a ) ) |
% 0.19/0.77 ( c_lessequals @ V_x @ V_z @ T_a ))).
% 0.19/0.77 thf(zip_derived_cl6, plain,
% 0.19/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.19/0.77 (~ (class_Orderings_Oorder @ X0)
% 0.19/0.77 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 0.19/0.77 | ~ (c_lessequals @ X3 @ X1 @ X0)
% 0.19/0.77 | (c_lessequals @ X3 @ X2 @ X0))),
% 0.19/0.77 inference('cnf', [status(esa)],
% 0.19/0.77 [cls_Orderings_Oorder__class_Oorder__trans_0])).
% 0.19/0.77 thf(zip_derived_cl67, plain,
% 0.19/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.19/0.77 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.19/0.77 | (c_lessequals @ X3 @ X1 @ X0)
% 0.19/0.77 | ~ (c_lessequals @ X3 @ X2 @ X0)
% 0.19/0.77 | ~ (c_lessequals @ X2 @ X1 @ X0))),
% 0.19/0.77 inference('dp-resolution', [status(thm)],
% 0.19/0.77 [zip_derived_cl63, zip_derived_cl6])).
% 0.19/0.77 thf(zip_derived_cl71, plain,
% 0.19/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.77 (~ (c_lessequals @ X2 @ X0 @ t_b)
% 0.19/0.77 | ~ (c_lessequals @ X1 @ X2 @ t_b)
% 0.19/0.77 | (c_lessequals @ X1 @ X0 @ t_b))),
% 0.19/0.77 inference('dp-resolution', [status(thm)],
% 0.19/0.77 [zip_derived_cl4, zip_derived_cl67])).
% 0.19/0.77 thf(zip_derived_cl87, plain,
% 0.19/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.19/0.77 (~ (c_lessequals @ c_0 @ X1 @ t_b)
% 0.19/0.77 | ~ (c_lessequals @ X2 @ X0 @ t_b)
% 0.19/0.77 | (c_lessequals @ X3 @ (c_times @ X1 @ X0 @ t_b) @ t_b)
% 0.19/0.77 | ~ (c_lessequals @ X3 @ (c_times @ X1 @ X2 @ t_b) @ t_b))),
% 0.19/0.77 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl71])).
% 0.19/0.77 thf(zip_derived_cl93, plain,
% 0.19/0.77 (![X0 : $i, X1 : $i]:
% 0.19/0.77 ( (c_lessequals @ (c_HOL_Oabs @ (v_x @ X0) @ t_b) @
% 0.19/0.77 (c_times @ v_ca @ X1 @ t_b) @ t_b)
% 0.19/0.77 | ~ (c_lessequals @ (c_HOL_Oabs @ (v_f @ X0) @ t_b) @ X1 @ t_b)
% 0.19/0.77 | ~ (c_lessequals @ c_0 @ v_ca @ t_b))),
% 0.19/0.77 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl87])).
% 0.19/0.77 thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.19/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.19/0.77 thf(zip_derived_cl63, plain,
% 0.19/0.77 (![X0 : $i]:
% 0.19/0.77 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.19/0.77 | (class_Orderings_Oorder @ X0))),
% 0.19/0.77 inference('dp-resolution', [status(thm)],
% 0.19/0.77 [zip_derived_cl11, zip_derived_cl9])).
% 0.19/0.77 thf(cls_conjecture_2, conjecture, (~( c_less @ c_0 @ v_ca @ t_b ))).
% 0.19/0.77 thf(zf_stmt_3, negated_conjecture, (c_less @ c_0 @ v_ca @ t_b),
% 0.19/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.19/0.77 thf(zip_derived_cl1, plain, ( (c_less @ c_0 @ v_ca @ t_b)),
% 0.19/0.77 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.19/0.77 thf(cls_Orderings_Oorder__less__imp__le_0, axiom,
% 0.19/0.77 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 0.19/0.77 ( ~( c_less @ V_x @ V_y @ T_a ) ) | ( c_lessequals @ V_x @ V_y @ T_a ))).
% 0.19/0.77 thf(zip_derived_cl7, plain,
% 0.19/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.77 (~ (class_Orderings_Oorder @ X0)
% 0.19/0.77 | ~ (c_less @ X1 @ X2 @ X0)
% 0.19/0.77 | (c_lessequals @ X1 @ X2 @ X0))),
% 0.19/0.77 inference('cnf', [status(esa)], [cls_Orderings_Oorder__less__imp__le_0])).
% 0.19/0.77 thf(zip_derived_cl64, plain,
% 0.19/0.77 (( (c_lessequals @ c_0 @ v_ca @ t_b) | ~ (class_Orderings_Oorder @ t_b))),
% 0.19/0.77 inference('dp-resolution', [status(thm)],
% 0.19/0.77 [zip_derived_cl1, zip_derived_cl7])).
% 0.19/0.77 thf(zip_derived_cl68, plain,
% 0.19/0.77 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 0.19/0.77 | (c_lessequals @ c_0 @ v_ca @ t_b))),
% 0.19/0.77 inference('dp-resolution', [status(thm)],
% 0.19/0.77 [zip_derived_cl63, zip_derived_cl64])).
% 0.19/0.77 thf(zip_derived_cl74, plain,
% 0.19/0.77 ((((t_b) != (t_b)) | (c_lessequals @ c_0 @ v_ca @ t_b))),
% 0.19/0.77 inference('dp-resolution', [status(thm)],
% 0.19/0.77 [zip_derived_cl4, zip_derived_cl68])).
% 0.19/0.77 thf(zip_derived_cl75, plain, ( (c_lessequals @ c_0 @ v_ca @ t_b)),
% 0.19/0.77 inference('simplify', [status(thm)], [zip_derived_cl74])).
% 0.19/0.77 thf(zip_derived_cl97, plain,
% 0.19/0.77 (![X0 : $i, X1 : $i]:
% 0.19/0.77 ( (c_lessequals @ (c_HOL_Oabs @ (v_x @ X0) @ t_b) @
% 0.19/0.77 (c_times @ v_ca @ X1 @ t_b) @ t_b)
% 0.19/0.77 | ~ (c_lessequals @ (c_HOL_Oabs @ (v_f @ X0) @ t_b) @ X1 @ t_b))),
% 0.19/0.77 inference('demod', [status(thm)], [zip_derived_cl93, zip_derived_cl75])).
% 0.19/0.77 thf(zip_derived_cl108, plain,
% 0.19/0.77 (~ (c_lessequals @ (c_HOL_Oabs @ (v_f @ v_xa) @ t_b) @
% 0.19/0.77 (c_times @ v_c @ (c_HOL_Oabs @ (v_g @ v_xa) @ t_b) @ t_b) @ t_b)),
% 0.19/0.77 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl97])).
% 0.19/0.77 thf(cls_conjecture_1, conjecture,
% 0.19/0.77 (~( c_lessequals @
% 0.19/0.77 ( c_HOL_Oabs @ ( v_f @ V_U ) @ t_b ) @
% 0.19/0.77 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_g @ V_U ) @ t_b ) @ t_b ) @ t_b ))).
% 0.19/0.77 thf(zf_stmt_4, negated_conjecture,
% 0.19/0.77 (c_lessequals @
% 0.19/0.77 ( c_HOL_Oabs @ ( v_f @ V_U ) @ t_b ) @
% 0.19/0.77 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_g @ V_U ) @ t_b ) @ t_b ) @ t_b),
% 0.19/0.77 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.19/0.77 thf(zip_derived_cl0, plain,
% 0.19/0.77 (![X0 : $i]:
% 0.19/0.77 (c_lessequals @ (c_HOL_Oabs @ (v_f @ X0) @ t_b) @
% 0.19/0.77 (c_times @ v_c @ (c_HOL_Oabs @ (v_g @ X0) @ t_b) @ t_b) @ t_b)),
% 0.19/0.77 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.19/0.77 thf(zip_derived_cl109, plain, ($false),
% 0.19/0.77 inference('demod', [status(thm)], [zip_derived_cl108, zip_derived_cl0])).
% 0.19/0.77
% 0.19/0.77 % SZS output end Refutation
% 0.19/0.77
% 0.19/0.77
% 0.19/0.77 % Terminating...
% 1.63/0.83 % Runner terminated.
% 1.63/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------