%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA013-1 : 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.e1TaPn7x7B true
% Computer : n018.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 04:28:50 PM UTC 2025
% Result : Unsatisfiable 6.17s 1.58s
% Output : Refutation 6.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : ANA013-1 : TPTP v9.2.0. Released v3.2.0.
% 0.09/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.e1TaPn7x7B true
% 0.17/0.39 % Computer : n018.cluster.edu
% 0.17/0.39 % Model : x86_64 x86_64
% 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39 % Memory : 8042.1875MB
% 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39 % CPULimit : 300
% 0.17/0.39 % WCLimit : 300
% 0.17/0.39 % DateTime : Wed Oct 1 15:21:38 EDT 2025
% 0.17/0.39 % CPUTime :
% 0.17/0.39 % Running portfolio for 300 s
% 0.17/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.39 % Number of cores: 8
% 0.17/0.39 % Python version: Python 3.6.8
% 0.17/0.39 % Running in FO mode
% 0.64/0.72 % Total configuration time : 435
% 0.64/0.72 % Estimated wc time : 1092
% 0.64/0.72 % Estimated cpu time (7 cpus) : 156.0
% 0.66/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.66/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.66/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.67/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.67/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.67/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.67/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.17/1.58 % Solved by fo/fo3_bce.sh.
% 6.17/1.58 % BCE start: 1108
% 6.17/1.58 % BCE eliminated: 279
% 6.17/1.58 % PE start: 829
% 6.17/1.58 logic: eq
% 6.17/1.58 % PE eliminated: -189
% 6.17/1.58 % done 945 iterations in 0.744s
% 6.17/1.58 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.17/1.58 % SZS output start Refutation
% 6.17/1.58 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 6.17/1.58 thf(class_OrderedGroup_Oab__group__add_type, type, class_OrderedGroup_Oab__group__add:
% 6.17/1.58 $i > $o).
% 6.17/1.58 thf(v_x_type, type, v_x: $i > $i).
% 6.17/1.58 thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs:
% 6.17/1.58 $i > $o).
% 6.17/1.58 thf(v_c_type, type, v_c: $i).
% 6.17/1.58 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 6.17/1.58 thf(c_uminus_type, type, c_uminus: $i > $i > $i).
% 6.17/1.58 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 6.17/1.58 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 6.17/1.58 thf(t_b_type, type, t_b: $i).
% 6.17/1.58 thf(v_f_type, type, v_f: $i > $i).
% 6.17/1.58 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 6.17/1.58 $i > $o).
% 6.17/1.58 thf(c_0_type, type, c_0: $i).
% 6.17/1.58 thf(class_OrderedGroup_Opordered__ab__group__add_type, type, class_OrderedGroup_Opordered__ab__group__add:
% 6.17/1.58 $i > $o).
% 6.17/1.58 thf(cls_OrderedGroup_Odiff__self_0, axiom,
% 6.17/1.58 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 6.17/1.58 ( ( c_minus @ V_a @ V_a @ T_a ) = ( c_0 ) ))).
% 6.17/1.58 thf(zip_derived_cl471, plain,
% 6.17/1.58 (![X0 : $i, X1 : $i]:
% 6.17/1.58 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 6.17/1.58 | ((c_minus @ X1 @ X1 @ X0) = (c_0)))),
% 6.17/1.58 inference('cnf', [status(esa)], [cls_OrderedGroup_Odiff__self_0])).
% 6.17/1.58 thf(cls_OrderedGroup_Odiff__le__0__iff__le_0, axiom,
% 6.17/1.58 (( ~( class_OrderedGroup_Opordered__ab__group__add @ T_a ) ) |
% 6.17/1.58 ( ~( c_lessequals @ ( c_minus @ V_a @ V_b @ T_a ) @ c_0 @ T_a ) ) |
% 6.17/1.58 ( c_lessequals @ V_a @ V_b @ T_a ))).
% 6.17/1.58 thf(zip_derived_cl466, plain,
% 6.17/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.17/1.58 (~ (class_OrderedGroup_Opordered__ab__group__add @ X0)
% 6.17/1.58 | ~ (c_lessequals @ (c_minus @ X1 @ X2 @ X0) @ c_0 @ X0)
% 6.17/1.58 | (c_lessequals @ X1 @ X2 @ X0))),
% 6.17/1.58 inference('cnf', [status(esa)],
% 6.17/1.58 [cls_OrderedGroup_Odiff__le__0__iff__le_0])).
% 6.17/1.58 thf(cls_OrderedGroup_Ominus__minus_0, axiom,
% 6.17/1.58 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 6.17/1.58 ( ( c_uminus @ ( c_uminus @ V_y @ T_a ) @ T_a ) = ( V_y ) ))).
% 6.17/1.58 thf(zip_derived_cl478, plain,
% 6.17/1.58 (![X0 : $i, X1 : $i]:
% 6.17/1.58 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 6.17/1.58 | ((c_uminus @ (c_uminus @ X1 @ X0) @ X0) = (X1)))),
% 6.17/1.58 inference('cnf', [status(esa)], [cls_OrderedGroup_Ominus__minus_0])).
% 6.17/1.58 thf(cls_OrderedGroup_Oabs__of__nonpos_0, axiom,
% 6.17/1.58 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 6.17/1.58 ( ~( c_lessequals @ V_a @ c_0 @ T_a ) ) |
% 6.17/1.58 ( ( c_HOL_Oabs @ V_a @ T_a ) = ( c_uminus @ V_a @ T_a ) ))).
% 6.17/1.58 thf(zip_derived_cl460, plain,
% 6.17/1.58 (![X0 : $i, X1 : $i]:
% 6.17/1.58 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 6.17/1.58 | ~ (c_lessequals @ X1 @ c_0 @ X0)
% 6.17/1.58 | ((c_HOL_Oabs @ X1 @ X0) = (c_uminus @ X1 @ X0)))),
% 6.17/1.58 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__of__nonpos_0])).
% 6.17/1.58 thf(cls_OrderedGroup_Oabs__0__eq_1, axiom,
% 6.17/1.58 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 6.17/1.58 ( ( c_0 ) = ( c_HOL_Oabs @ c_0 @ T_a ) ))).
% 6.17/1.58 thf(zip_derived_cl449, plain,
% 6.17/1.58 (![X0 : $i]:
% 6.17/1.58 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 6.17/1.58 | ((c_0) = (c_HOL_Oabs @ c_0 @ X0)))),
% 6.17/1.58 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__0__eq_1])).
% 6.17/1.58 thf(tfree_tcs, conjecture,
% 6.17/1.58 (~( class_Ring__and__Field_Oordered__idom @ t_b ))).
% 6.17/1.58 thf(zf_stmt_0, negated_conjecture,
% 6.17/1.58 (class_Ring__and__Field_Oordered__idom @ t_b),
% 6.17/1.58 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 6.17/1.58 thf(zip_derived_cl1106, plain,
% 6.17/1.58 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 6.17/1.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.17/1.58 thf(cls_Ring__and__Field_Oabs__mult_0, axiom,
% 6.17/1.58 (( ~( class_Ring__and__Field_Oordered__idom @ T_a ) ) |
% 6.17/1.58 ( ( c_HOL_Oabs @ ( c_times @ V_a @ V_b @ T_a ) @ T_a ) =
% 6.17/1.58 ( c_times @
% 6.17/1.58 ( c_HOL_Oabs @ V_a @ T_a ) @ ( c_HOL_Oabs @ V_b @ T_a ) @ T_a ) ))).
% 6.17/1.58 thf(zip_derived_cl1105, plain,
% 6.17/1.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.17/1.58 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 6.17/1.58 | ((c_HOL_Oabs @ (c_times @ X1 @ X2 @ X0) @ X0)
% 6.17/1.58 = (c_times @ (c_HOL_Oabs @ X1 @ X0) @ (c_HOL_Oabs @ X2 @ X0) @ X0)))),
% 6.17/1.58 inference('cnf', [status(esa)], [cls_Ring__and__Field_Oabs__mult_0])).
% 6.17/1.58 thf(zip_derived_cl5073, plain,
% 6.17/1.58 (![X0 : $i, X1 : $i]:
% 6.17/1.58 ((c_HOL_Oabs @ (c_times @ X1 @ X0 @ t_b) @ t_b)
% 6.17/1.58 = (c_times @ (c_HOL_Oabs @ X1 @ t_b) @ (c_HOL_Oabs @ X0 @ t_b) @ t_b))),
% 6.17/1.58 inference('dp-resolution', [status(thm)],
% 6.17/1.58 [zip_derived_cl1106, zip_derived_cl1105])).
% 6.17/1.58 thf(zip_derived_cl7352, plain,
% 6.17/1.58 (![X0 : $i]:
% 6.17/1.58 (((c_HOL_Oabs @ (c_times @ X0 @ c_0 @ t_b) @ t_b)
% 6.17/1.58 = (c_times @ (c_HOL_Oabs @ X0 @ t_b) @ c_0 @ t_b))
% 6.17/1.58 | ~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b))),
% 6.17/1.58 inference('sup+', [status(thm)], [zip_derived_cl449, zip_derived_cl5073])).
% 6.17/1.58 thf(zip_derived_cl1106, plain,
% 6.17/1.58 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 6.17/1.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.17/1.58 thf(cls_Ring__and__Field_Omult__cancel__right1_1, axiom,
% 6.17/1.58 (( ~( class_Ring__and__Field_Oordered__idom @ T_a ) ) |
% 6.17/1.58 ( ( c_0 ) = ( c_times @ V_b @ c_0 @ T_a ) ))).
% 6.17/1.58 thf(zip_derived_cl673, plain,
% 6.17/1.58 (![X0 : $i, X1 : $i]:
% 6.17/1.58 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 6.17/1.58 | ((c_0) = (c_times @ X1 @ c_0 @ X0)))),
% 6.17/1.58 inference('cnf', [status(esa)],
% 6.17/1.58 [cls_Ring__and__Field_Omult__cancel__right1_1])).
% 6.17/1.58 thf(zip_derived_cl5062, plain,
% 6.17/1.58 (![X0 : $i]: ((c_0) = (c_times @ X0 @ c_0 @ t_b))),
% 6.17/1.58 inference('dp-resolution', [status(thm)],
% 6.17/1.58 [zip_derived_cl1106, zip_derived_cl673])).
% 6.17/1.58 thf(zip_derived_cl5062, plain,
% 6.17/1.58 (![X0 : $i]: ((c_0) = (c_times @ X0 @ c_0 @ t_b))),
% 6.17/1.58 inference('dp-resolution', [status(thm)],
% 6.17/1.58 [zip_derived_cl1106, zip_derived_cl673])).
% 6.17/1.58 thf(zip_derived_cl1106, plain,
% 6.17/1.58 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 6.17/1.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.17/1.58 thf(clsrel_Ring__and__Field_Oordered__idom_50, axiom,
% 6.17/1.58 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 6.17/1.58 ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 6.17/1.58 thf(zip_derived_cl994, plain,
% 6.17/1.58 (![X0 : $i]:
% 6.17/1.58 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 6.17/1.58 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 6.17/1.58 inference('cnf', [status(esa)],
% 6.17/1.58 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 6.17/1.58 thf(zip_derived_cl5070, plain,
% 6.17/1.58 ( (class_OrderedGroup_Olordered__ab__group__abs @ t_b)),
% 6.17/1.58 inference('dp-resolution', [status(thm)],
% 6.17/1.58 [zip_derived_cl1106, zip_derived_cl994])).
% 6.17/1.58 thf(zip_derived_cl7356, plain, (((c_HOL_Oabs @ c_0 @ t_b) = (c_0))),
% 6.17/1.58 inference('demod', [status(thm)],
% 6.17/1.58 [zip_derived_cl7352, zip_derived_cl5062, zip_derived_cl5062,
% 6.17/1.58 zip_derived_cl5070])).
% 6.17/1.58 thf(cls_OrderedGroup_Oabs__ge__zero_0, axiom,
% 6.17/1.58 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 6.17/1.58 ( c_lessequals @ c_0 @ ( c_HOL_Oabs @ V_a @ T_a ) @ T_a ))).
% 6.17/1.58 thf(zip_derived_cl453, plain,
% 6.17/1.58 (![X0 : $i, X1 : $i]:
% 6.17/1.58 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 6.17/1.59 | (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 6.17/1.59 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__ge__zero_0])).
% 6.17/1.59 thf(zip_derived_cl9222, plain,
% 6.17/1.59 (( (c_lessequals @ c_0 @ c_0 @ t_b)
% 6.17/1.59 | ~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b))),
% 6.17/1.59 inference('sup+', [status(thm)], [zip_derived_cl7356, zip_derived_cl453])).
% 6.17/1.59 thf(zip_derived_cl5070, plain,
% 6.17/1.59 ( (class_OrderedGroup_Olordered__ab__group__abs @ t_b)),
% 6.17/1.59 inference('dp-resolution', [status(thm)],
% 6.17/1.59 [zip_derived_cl1106, zip_derived_cl994])).
% 6.17/1.59 thf(zip_derived_cl9232, plain, ( (c_lessequals @ c_0 @ c_0 @ t_b)),
% 6.17/1.59 inference('demod', [status(thm)],
% 6.17/1.59 [zip_derived_cl9222, zip_derived_cl5070])).
% 6.17/1.59 thf(zip_derived_cl9241, plain,
% 6.17/1.59 ((((c_HOL_Oabs @ c_0 @ t_b) = (c_uminus @ c_0 @ t_b))
% 6.17/1.59 | ~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b))),
% 6.17/1.59 inference('sup+', [status(thm)], [zip_derived_cl460, zip_derived_cl9232])).
% 6.17/1.59 thf(zip_derived_cl7356, plain, (((c_HOL_Oabs @ c_0 @ t_b) = (c_0))),
% 6.17/1.59 inference('demod', [status(thm)],
% 6.17/1.59 [zip_derived_cl7352, zip_derived_cl5062, zip_derived_cl5062,
% 6.17/1.59 zip_derived_cl5070])).
% 6.17/1.59 thf(zip_derived_cl5070, plain,
% 6.17/1.59 ( (class_OrderedGroup_Olordered__ab__group__abs @ t_b)),
% 6.17/1.59 inference('dp-resolution', [status(thm)],
% 6.17/1.59 [zip_derived_cl1106, zip_derived_cl994])).
% 6.17/1.59 thf(zip_derived_cl9243, plain, (((c_0) = (c_uminus @ c_0 @ t_b))),
% 6.17/1.59 inference('demod', [status(thm)],
% 6.17/1.59 [zip_derived_cl9241, zip_derived_cl7356, zip_derived_cl5070])).
% 6.17/1.59 thf(cls_OrderedGroup_Oneg__equal__iff__equal_0, axiom,
% 6.17/1.59 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 6.17/1.59 ( ( c_uminus @ V_a @ T_a ) != ( c_uminus @ V_b @ T_a ) ) |
% 6.17/1.59 ( ( V_a ) = ( V_b ) ))).
% 6.17/1.59 thf(zip_derived_cl487, plain,
% 6.17/1.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.17/1.59 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 6.17/1.59 | ((c_uminus @ X2 @ X0) != (c_uminus @ X1 @ X0))
% 6.17/1.59 | ((X2) = (X1)))),
% 6.17/1.59 inference('cnf', [status(esa)],
% 6.17/1.59 [cls_OrderedGroup_Oneg__equal__iff__equal_0])).
% 6.17/1.59 thf(zip_derived_cl9251, plain,
% 6.17/1.59 (![X0 : $i]:
% 6.17/1.59 (((c_uminus @ X0 @ t_b) != (c_0))
% 6.17/1.59 | ((X0) = (c_0))
% 6.17/1.59 | ~ (class_OrderedGroup_Oab__group__add @ t_b))),
% 6.17/1.59 inference('sup-', [status(thm)], [zip_derived_cl9243, zip_derived_cl487])).
% 6.17/1.59 thf(zip_derived_cl1106, plain,
% 6.17/1.59 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 6.17/1.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.17/1.59 thf(clsrel_Ring__and__Field_Oordered__idom_4, axiom,
% 6.17/1.59 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 6.17/1.59 ( class_OrderedGroup_Oab__group__add @ T ))).
% 6.17/1.59 thf(zip_derived_cl991, plain,
% 6.17/1.59 (![X0 : $i]:
% 6.17/1.59 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 6.17/1.59 | (class_OrderedGroup_Oab__group__add @ X0))),
% 6.17/1.59 inference('cnf', [status(esa)],
% 6.17/1.59 [clsrel_Ring__and__Field_Oordered__idom_4])).
% 6.17/1.59 thf(zip_derived_cl5068, plain, ( (class_OrderedGroup_Oab__group__add @ t_b)),
% 6.17/1.59 inference('dp-resolution', [status(thm)],
% 6.17/1.59 [zip_derived_cl1106, zip_derived_cl991])).
% 6.17/1.59 thf(zip_derived_cl9263, plain,
% 6.17/1.59 (![X0 : $i]: (((c_uminus @ X0 @ t_b) != (c_0)) | ((X0) = (c_0)))),
% 6.17/1.59 inference('demod', [status(thm)],
% 6.17/1.59 [zip_derived_cl9251, zip_derived_cl5068])).
% 6.17/1.59 thf(zip_derived_cl9297, plain,
% 6.17/1.59 (![X0 : $i]:
% 6.17/1.59 (((X0) != (c_0))
% 6.17/1.59 | ~ (class_OrderedGroup_Oab__group__add @ t_b)
% 6.17/1.59 | ((c_uminus @ X0 @ t_b) = (c_0)))),
% 6.17/1.59 inference('sup-', [status(thm)], [zip_derived_cl478, zip_derived_cl9263])).
% 6.17/1.59 thf(zip_derived_cl5068, plain, ( (class_OrderedGroup_Oab__group__add @ t_b)),
% 6.17/1.59 inference('dp-resolution', [status(thm)],
% 6.17/1.59 [zip_derived_cl1106, zip_derived_cl991])).
% 6.17/1.59 thf(zip_derived_cl9302, plain,
% 6.17/1.59 (![X0 : $i]: (((X0) != (c_0)) | ((c_uminus @ X0 @ t_b) = (c_0)))),
% 6.17/1.59 inference('demod', [status(thm)],
% 6.17/1.59 [zip_derived_cl9297, zip_derived_cl5068])).
% 6.17/1.59 thf(cls_OrderedGroup_Oneg__0__le__iff__le_0, axiom,
% 6.17/1.59 (( ~( class_OrderedGroup_Opordered__ab__group__add @ T_a ) ) |
% 6.17/1.59 ( ~( c_lessequals @ c_0 @ ( c_uminus @ V_a @ T_a ) @ T_a ) ) |
% 6.17/1.59 ( c_lessequals @ V_a @ c_0 @ T_a ))).
% 6.17/1.59 thf(zip_derived_cl481, plain,
% 6.17/1.59 (![X0 : $i, X1 : $i]:
% 6.17/1.59 (~ (class_OrderedGroup_Opordered__ab__group__add @ X0)
% 6.17/1.59 | ~ (c_lessequals @ c_0 @ (c_uminus @ X1 @ X0) @ X0)
% 6.17/1.59 | (c_lessequals @ X1 @ c_0 @ X0))),
% 6.17/1.59 inference('cnf', [status(esa)], [cls_OrderedGroup_Oneg__0__le__iff__le_0])).
% 6.17/1.59 thf(zip_derived_cl9309, plain,
% 6.17/1.59 (![X0 : $i]:
% 6.17/1.59 (~ (c_lessequals @ c_0 @ c_0 @ t_b)
% 6.17/1.59 | ((X0) != (c_0))
% 6.17/1.59 | (c_lessequals @ X0 @ c_0 @ t_b)
% 6.17/1.59 | ~ (class_OrderedGroup_Opordered__ab__group__add @ t_b))),
% 6.17/1.59 inference('sup-', [status(thm)], [zip_derived_cl9302, zip_derived_cl481])).
% 6.17/1.59 thf(zip_derived_cl9232, plain, ( (c_lessequals @ c_0 @ c_0 @ t_b)),
% 6.17/1.59 inference('demod', [status(thm)],
% 6.17/1.59 [zip_derived_cl9222, zip_derived_cl5070])).
% 6.17/1.59 thf(zip_derived_cl1106, plain,
% 6.17/1.59 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 6.17/1.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.17/1.59 thf(clsrel_Ring__and__Field_Oordered__idom_54, axiom,
% 6.17/1.59 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 6.17/1.59 ( class_OrderedGroup_Opordered__ab__group__add @ T ))).
% 6.17/1.59 thf(zip_derived_cl995, plain,
% 6.17/1.59 (![X0 : $i]:
% 6.17/1.59 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 6.17/1.59 | (class_OrderedGroup_Opordered__ab__group__add @ X0))),
% 6.17/1.59 inference('cnf', [status(esa)],
% 6.17/1.59 [clsrel_Ring__and__Field_Oordered__idom_54])).
% 6.17/1.59 thf(zip_derived_cl5071, plain,
% 6.17/1.59 ( (class_OrderedGroup_Opordered__ab__group__add @ t_b)),
% 6.17/1.59 inference('dp-resolution', [status(thm)],
% 6.17/1.59 [zip_derived_cl1106, zip_derived_cl995])).
% 6.17/1.59 thf(zip_derived_cl9324, plain,
% 6.17/1.59 (![X0 : $i]: (((X0) != (c_0)) | (c_lessequals @ X0 @ c_0 @ t_b))),
% 6.17/1.59 inference('demod', [status(thm)],
% 6.17/1.59 [zip_derived_cl9309, zip_derived_cl9232, zip_derived_cl5071])).
% 6.17/1.59 thf(zip_derived_cl9403, plain,
% 6.17/1.59 (![X0 : $i, X1 : $i]:
% 6.17/1.59 ( (c_lessequals @ X1 @ X0 @ t_b)
% 6.17/1.59 | ~ (class_OrderedGroup_Opordered__ab__group__add @ t_b)
% 6.17/1.59 | ((c_minus @ X1 @ X0 @ t_b) != (c_0)))),
% 6.17/1.59 inference('sup+', [status(thm)], [zip_derived_cl466, zip_derived_cl9324])).
% 6.17/1.59 thf(zip_derived_cl5071, plain,
% 6.17/1.59 ( (class_OrderedGroup_Opordered__ab__group__add @ t_b)),
% 6.17/1.59 inference('dp-resolution', [status(thm)],
% 6.17/1.59 [zip_derived_cl1106, zip_derived_cl995])).
% 6.17/1.59 thf(zip_derived_cl9412, plain,
% 6.17/1.59 (![X0 : $i, X1 : $i]:
% 6.17/1.59 ( (c_lessequals @ X1 @ X0 @ t_b)
% 6.17/1.59 | ((c_minus @ X1 @ X0 @ t_b) != (c_0)))),
% 6.17/1.59 inference('demod', [status(thm)],
% 6.17/1.59 [zip_derived_cl9403, zip_derived_cl5071])).
% 6.17/1.59 thf(zip_derived_cl9506, plain,
% 6.17/1.59 (![X0 : $i]:
% 6.17/1.59 (((c_0) != (c_0))
% 6.17/1.59 | ~ (class_OrderedGroup_Oab__group__add @ t_b)
% 6.17/1.59 | (c_lessequals @ X0 @ X0 @ t_b))),
% 6.17/1.59 inference('sup-', [status(thm)], [zip_derived_cl471, zip_derived_cl9412])).
% 6.17/1.59 thf(zip_derived_cl5068, plain, ( (class_OrderedGroup_Oab__group__add @ t_b)),
% 6.17/1.59 inference('dp-resolution', [status(thm)],
% 6.17/1.59 [zip_derived_cl1106, zip_derived_cl991])).
% 6.17/1.59 thf(zip_derived_cl9511, plain,
% 6.17/1.59 (![X0 : $i]: (((c_0) != (c_0)) | (c_lessequals @ X0 @ X0 @ t_b))),
% 6.17/1.59 inference('demod', [status(thm)],
% 6.17/1.59 [zip_derived_cl9506, zip_derived_cl5068])).
% 6.17/1.59 thf(zip_derived_cl9512, plain, (![X0 : $i]: (c_lessequals @ X0 @ X0 @ t_b)),
% 6.17/1.59 inference('simplify', [status(thm)], [zip_derived_cl9511])).
% 6.17/1.59 thf(zip_derived_cl5073, plain,
% 6.17/1.59 (![X0 : $i, X1 : $i]:
% 6.17/1.59 ((c_HOL_Oabs @ (c_times @ X1 @ X0 @ t_b) @ t_b)
% 6.17/1.59 = (c_times @ (c_HOL_Oabs @ X1 @ t_b) @ (c_HOL_Oabs @ X0 @ t_b) @ t_b))),
% 6.17/1.59 inference('dp-resolution', [status(thm)],
% 6.17/1.59 [zip_derived_cl1106, zip_derived_cl1105])).
% 6.17/1.59 thf(cls_conjecture_0, conjecture,
% 6.17/1.59 (c_lessequals @
% 6.17/1.59 ( c_times @
% 6.17/1.59 ( c_HOL_Oabs @ v_c @ t_b ) @
% 6.17/1.59 ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 6.17/1.59 ( c_times @ V_U @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 6.17/1.59 t_b)).
% 6.17/1.59 thf(zf_stmt_1, negated_conjecture,
% 6.17/1.59 (~( c_lessequals @
% 6.17/1.59 ( c_times @
% 6.17/1.59 ( c_HOL_Oabs @ v_c @ t_b ) @
% 6.17/1.59 ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 6.17/1.59 ( c_times @ V_U @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 6.17/1.59 t_b )),
% 6.17/1.59 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 6.17/1.59 thf(zip_derived_cl1107, plain,
% 6.17/1.59 (![X0 : $i]:
% 6.17/1.59 ~ (c_lessequals @
% 6.17/1.59 (c_times @ (c_HOL_Oabs @ v_c @ t_b) @
% 6.17/1.59 (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @ t_b) @
% 6.17/1.59 (c_times @ X0 @ (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @ t_b) @
% 6.17/1.59 t_b)),
% 6.17/1.59 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.17/1.59 thf(zip_derived_cl5073, plain,
% 6.17/1.59 (![X0 : $i, X1 : $i]:
% 6.17/1.59 ((c_HOL_Oabs @ (c_times @ X1 @ X0 @ t_b) @ t_b)
% 6.17/1.59 = (c_times @ (c_HOL_Oabs @ X1 @ t_b) @ (c_HOL_Oabs @ X0 @ t_b) @ t_b))),
% 6.17/1.59 inference('dp-resolution', [status(thm)],
% 6.17/1.59 [zip_derived_cl1106, zip_derived_cl1105])).
% 6.17/1.59 thf(zip_derived_cl7347, plain,
% 6.17/1.59 (![X0 : $i]:
% 6.17/1.59 ~ (c_lessequals @
% 6.17/1.59 (c_HOL_Oabs @ (c_times @ v_c @ (v_f @ (v_x @ X0)) @ t_b) @ t_b) @
% 6.17/1.59 (c_times @ X0 @ (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @ t_b) @
% 6.17/1.59 t_b)),
% 6.17/1.59 inference('demod', [status(thm)],
% 6.17/1.59 [zip_derived_cl1107, zip_derived_cl5073])).
% 6.17/1.59 thf(zip_derived_cl7376, plain,
% 6.17/1.59 (![X0 : $i]:
% 6.17/1.59 ~ (c_lessequals @
% 6.17/1.59 (c_HOL_Oabs @
% 6.17/1.59 (c_times @ v_c @ (v_f @ (v_x @ (c_HOL_Oabs @ X0 @ t_b))) @ t_b) @
% 6.17/1.59 t_b) @
% 6.17/1.59 (c_HOL_Oabs @
% 6.17/1.59 (c_times @ X0 @ (v_f @ (v_x @ (c_HOL_Oabs @ X0 @ t_b))) @ t_b) @
% 6.17/1.59 t_b) @
% 6.17/1.59 t_b)),
% 6.17/1.59 inference('sup-', [status(thm)], [zip_derived_cl5073, zip_derived_cl7347])).
% 6.17/1.59 thf(zip_derived_cl9520, plain, ($false),
% 6.17/1.59 inference('sup-', [status(thm)], [zip_derived_cl9512, zip_derived_cl7376])).
% 6.17/1.59
% 6.17/1.59 % SZS output end Refutation
% 6.17/1.59
% 6.17/1.59
% 6.17/1.59 % Terminating...
% 6.17/1.65 % Runner terminated.
% 6.17/1.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------