%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA029-1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qSTjqrH6Yq true
% Computer : n017.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 04:28:53 PM UTC 2025
% Result : Unsatisfiable 170.24s 25.31s
% Output : Refutation 170.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ANA029-1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qSTjqrH6Yq true
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 15:23:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.49/0.60 % Total configuration time : 435
% 0.49/0.60 % Estimated wc time : 1092
% 0.49/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 170.24/25.31 % Solved by fo/fo13.sh.
% 170.24/25.31 % done 8218 iterations in 24.573s
% 170.24/25.31 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 170.24/25.31 % SZS output start Refutation
% 170.24/25.31 thf(tc_IntDef_Oint_type, type, tc_IntDef_Oint: $i).
% 170.24/25.31 thf(c_minus_type, type, c_minus: $i > $i > $i > $i).
% 170.24/25.31 thf(v_f_type, type, v_f: $i > $i).
% 170.24/25.31 thf(v_k_type, type, v_k: $i > $i).
% 170.24/25.31 thf(class_Orderings_Olinorder_type, type, class_Orderings_Olinorder: $i > $o).
% 170.24/25.31 thf(v_g_type, type, v_g: $i > $i).
% 170.24/25.31 thf(c_Orderings_Omax_type, type, c_Orderings_Omax: $i > $i > $i > $i).
% 170.24/25.31 thf(t_b_type, type, t_b: $i).
% 170.24/25.31 thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs:
% 170.24/25.31 $i > $o).
% 170.24/25.31 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 170.24/25.31 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 170.24/25.31 thf(c_IntDef_Oof__int_type, type, c_IntDef_Oof__int: $i > $i > $i).
% 170.24/25.31 thf(c_less_type, type, c_less: $i > $i > $i > $o).
% 170.24/25.31 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 170.24/25.31 thf(c_IntDef_Oint_type, type, c_IntDef_Oint: $i > $i).
% 170.24/25.31 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 170.24/25.31 $i > $o).
% 170.24/25.31 thf(c_0_type, type, c_0: $i).
% 170.24/25.31 thf(v_x_type, type, v_x: $i).
% 170.24/25.31 thf(clsrel_Ring__and__Field_Oordered__idom_33, axiom,
% 170.24/25.31 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 170.24/25.31 ( class_Orderings_Olinorder @ T ))).
% 170.24/25.31 thf(zip_derived_cl2443, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | (class_Orderings_Olinorder @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)],
% 170.24/25.31 [clsrel_Ring__and__Field_Oordered__idom_33])).
% 170.24/25.31 thf(clsrel_Ring__and__Field_Oordered__idom_50, axiom,
% 170.24/25.31 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 170.24/25.31 ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 170.24/25.31 thf(zip_derived_cl2462, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)],
% 170.24/25.31 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 170.24/25.31 thf(cls_OrderedGroup_Oabs__0__eq_1, axiom,
% 170.24/25.31 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 170.24/25.31 ( ( c_0 ) = ( c_HOL_Oabs @ c_0 @ T_a ) ))).
% 170.24/25.31 thf(zip_derived_cl1066, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 170.24/25.31 | ((c_0) = (c_HOL_Oabs @ c_0 @ X0)))),
% 170.24/25.31 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__0__eq_1])).
% 170.24/25.31 thf(zip_derived_cl6471, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | ((c_0) = (c_HOL_Oabs @ c_0 @ X0)))),
% 170.24/25.31 inference('s_sup-', [status(thm)],
% 170.24/25.31 [zip_derived_cl2462, zip_derived_cl1066])).
% 170.24/25.31 thf(cls_conjecture_3, conjecture,
% 170.24/25.31 (c_lessequals @
% 170.24/25.31 ( c_Orderings_Omax @
% 170.24/25.31 ( c_minus @ ( v_f @ v_x ) @ ( v_k @ v_x ) @ t_b ) @ c_0 @ t_b ) @
% 170.24/25.31 ( c_HOL_Oabs @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @
% 170.24/25.31 t_b)).
% 170.24/25.31 thf(zf_stmt_0, negated_conjecture,
% 170.24/25.31 (~( c_lessequals @
% 170.24/25.31 ( c_Orderings_Omax @
% 170.24/25.31 ( c_minus @ ( v_f @ v_x ) @ ( v_k @ v_x ) @ t_b ) @ c_0 @ t_b ) @
% 170.24/25.31 ( c_HOL_Oabs @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @
% 170.24/25.31 t_b )),
% 170.24/25.31 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 170.24/25.31 thf(zip_derived_cl2807, plain,
% 170.24/25.31 (~ (c_lessequals @
% 170.24/25.31 (c_Orderings_Omax @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 c_0 @ t_b) @
% 170.24/25.31 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 170.24/25.31 t_b)),
% 170.24/25.31 inference('cnf', [status(esa)], [zf_stmt_0])).
% 170.24/25.31 thf(zip_derived_cl2462, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)],
% 170.24/25.31 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 170.24/25.31 thf(zip_derived_cl2443, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | (class_Orderings_Olinorder @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)],
% 170.24/25.31 [clsrel_Ring__and__Field_Oordered__idom_33])).
% 170.24/25.31 thf(clsrel_Ring__and__Field_Oordered__idom_44, axiom,
% 170.24/25.31 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 170.24/25.31 ( class_Orderings_Oorder @ T ))).
% 170.24/25.31 thf(zip_derived_cl2455, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | (class_Orderings_Oorder @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)],
% 170.24/25.31 [clsrel_Ring__and__Field_Oordered__idom_44])).
% 170.24/25.31 thf(zip_derived_cl2807, plain,
% 170.24/25.31 (~ (c_lessequals @
% 170.24/25.31 (c_Orderings_Omax @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 c_0 @ t_b) @
% 170.24/25.31 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 170.24/25.31 t_b)),
% 170.24/25.31 inference('cnf', [status(esa)], [zf_stmt_0])).
% 170.24/25.31 thf(cls_Orderings_Oorder__less__imp__le_0, axiom,
% 170.24/25.31 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 170.24/25.31 ( ~( c_less @ V_x @ V_y @ T_a ) ) | ( c_lessequals @ V_x @ V_y @ T_a ))).
% 170.24/25.31 thf(zip_derived_cl2803, plain,
% 170.24/25.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 170.24/25.31 (~ (class_Orderings_Oorder @ X0)
% 170.24/25.31 | ~ (c_less @ X1 @ X2 @ X0)
% 170.24/25.31 | (c_lessequals @ X1 @ X2 @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)], [cls_Orderings_Oorder__less__imp__le_0])).
% 170.24/25.31 thf(zip_derived_cl11484, plain,
% 170.24/25.31 ((~ (class_Orderings_Oorder @ t_b)
% 170.24/25.31 | ~ (c_less @
% 170.24/25.31 (c_Orderings_Omax @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 c_0 @ t_b) @
% 170.24/25.31 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 170.24/25.31 t_b))),
% 170.24/25.31 inference('s_sup+', [status(thm)],
% 170.24/25.31 [zip_derived_cl2807, zip_derived_cl2803])).
% 170.24/25.31 thf(zip_derived_cl14914, plain,
% 170.24/25.31 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 170.24/25.31 | ~ (c_less @
% 170.24/25.31 (c_Orderings_Omax @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 c_0 @ t_b) @
% 170.24/25.31 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 170.24/25.31 t_b))),
% 170.24/25.31 inference('s_sup-', [status(thm)],
% 170.24/25.31 [zip_derived_cl2455, zip_derived_cl11484])).
% 170.24/25.31 thf(tfree_tcs, conjecture,
% 170.24/25.31 (~( class_Ring__and__Field_Oordered__idom @ t_b ))).
% 170.24/25.31 thf(zf_stmt_1, negated_conjecture,
% 170.24/25.31 (class_Ring__and__Field_Oordered__idom @ t_b),
% 170.24/25.31 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 170.24/25.31 thf(zip_derived_cl2808, plain,
% 170.24/25.31 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 170.24/25.31 inference('cnf', [status(esa)], [zf_stmt_1])).
% 170.24/25.31 thf(zip_derived_cl14917, plain,
% 170.24/25.31 (~ (c_less @
% 170.24/25.31 (c_Orderings_Omax @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 c_0 @ t_b) @
% 170.24/25.31 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 170.24/25.31 t_b)),
% 170.24/25.31 inference('demod', [status(thm)],
% 170.24/25.31 [zip_derived_cl14914, zip_derived_cl2808])).
% 170.24/25.31 thf(cls_Orderings_Omax__less__iff__conj_2, axiom,
% 170.24/25.31 (( ~( class_Orderings_Olinorder @ T_a ) ) |
% 170.24/25.31 ( ~( c_less @ V_y @ V_z @ T_a ) ) | ( ~( c_less @ V_x @ V_z @ T_a ) ) |
% 170.24/25.31 ( c_less @ ( c_Orderings_Omax @ V_x @ V_y @ T_a ) @ V_z @ T_a ))).
% 170.24/25.31 thf(zip_derived_cl1148, plain,
% 170.24/25.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 170.24/25.31 (~ (class_Orderings_Olinorder @ X0)
% 170.24/25.31 | ~ (c_less @ X1 @ X2 @ X0)
% 170.24/25.31 | ~ (c_less @ X3 @ X2 @ X0)
% 170.24/25.31 | (c_less @ (c_Orderings_Omax @ X3 @ X1 @ X0) @ X2 @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)], [cls_Orderings_Omax__less__iff__conj_2])).
% 170.24/25.31 thf(zip_derived_cl48174, plain,
% 170.24/25.31 ((~ (class_Orderings_Olinorder @ t_b)
% 170.24/25.31 | ~ (c_less @ c_0 @
% 170.24/25.31 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 170.24/25.31 t_b)
% 170.24/25.31 | ~ (c_less @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 170.24/25.31 t_b))),
% 170.24/25.31 inference('s_sup+', [status(thm)],
% 170.24/25.31 [zip_derived_cl14917, zip_derived_cl1148])).
% 170.24/25.31 thf(zip_derived_cl2443, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | (class_Orderings_Olinorder @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)],
% 170.24/25.31 [clsrel_Ring__and__Field_Oordered__idom_33])).
% 170.24/25.31 thf(zip_derived_cl2462, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)],
% 170.24/25.31 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 170.24/25.31 thf(cls_OrderedGroup_Oabs__ge__zero_0, axiom,
% 170.24/25.31 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 170.24/25.31 ( c_lessequals @ c_0 @ ( c_HOL_Oabs @ V_a @ T_a ) @ T_a ))).
% 170.24/25.31 thf(zip_derived_cl1070, plain,
% 170.24/25.31 (![X0 : $i, X1 : $i]:
% 170.24/25.31 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 170.24/25.31 | (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__ge__zero_0])).
% 170.24/25.31 thf(zip_derived_cl2455, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | (class_Orderings_Oorder @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)],
% 170.24/25.31 [clsrel_Ring__and__Field_Oordered__idom_44])).
% 170.24/25.31 thf(cls_conjecture_2, conjecture,
% 170.24/25.31 (c_lessequals @
% 170.24/25.31 c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_k @ v_x ) @ t_b ) @ t_b)).
% 170.24/25.31 thf(zf_stmt_2, negated_conjecture,
% 170.24/25.31 (~( c_lessequals @
% 170.24/25.31 c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_k @ v_x ) @ t_b ) @ t_b )),
% 170.24/25.31 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 170.24/25.31 thf(zip_derived_cl2806, plain,
% 170.24/25.31 (~ (c_lessequals @ c_0 @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 t_b)),
% 170.24/25.31 inference('cnf', [status(esa)], [zf_stmt_2])).
% 170.24/25.31 thf(cls_Orderings_Oorder__class_Oorder__trans_0, axiom,
% 170.24/25.31 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 170.24/25.31 ( ~( c_lessequals @ V_y @ V_z @ T_a ) ) |
% 170.24/25.31 ( ~( c_lessequals @ V_x @ V_y @ T_a ) ) |
% 170.24/25.31 ( c_lessequals @ V_x @ V_z @ T_a ))).
% 170.24/25.31 thf(zip_derived_cl2802, plain,
% 170.24/25.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 170.24/25.31 (~ (class_Orderings_Oorder @ X0)
% 170.24/25.31 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 170.24/25.31 | ~ (c_lessequals @ X3 @ X1 @ X0)
% 170.24/25.31 | (c_lessequals @ X3 @ X2 @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)],
% 170.24/25.31 [cls_Orderings_Oorder__class_Oorder__trans_0])).
% 170.24/25.31 thf(zip_derived_cl13934, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Orderings_Oorder @ t_b)
% 170.24/25.31 | ~ (c_lessequals @ X0 @
% 170.24/25.31 (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @ t_b)
% 170.24/25.31 | ~ (c_lessequals @ c_0 @ X0 @ t_b))),
% 170.24/25.31 inference('s_sup+', [status(thm)],
% 170.24/25.31 [zip_derived_cl2806, zip_derived_cl2802])).
% 170.24/25.31 thf(zip_derived_cl13955, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 170.24/25.31 | ~ (c_lessequals @ X0 @
% 170.24/25.31 (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @ t_b)
% 170.24/25.31 | ~ (c_lessequals @ c_0 @ X0 @ t_b))),
% 170.24/25.31 inference('s_sup-', [status(thm)],
% 170.24/25.31 [zip_derived_cl2455, zip_derived_cl13934])).
% 170.24/25.31 thf(zip_derived_cl2808, plain,
% 170.24/25.31 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 170.24/25.31 inference('cnf', [status(esa)], [zf_stmt_1])).
% 170.24/25.31 thf(zip_derived_cl13958, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (c_lessequals @ X0 @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 t_b)
% 170.24/25.31 | ~ (c_lessequals @ c_0 @ X0 @ t_b))),
% 170.24/25.31 inference('demod', [status(thm)],
% 170.24/25.31 [zip_derived_cl13955, zip_derived_cl2808])).
% 170.24/25.31 thf(zip_derived_cl13962, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b)
% 170.24/25.31 | ~ (c_lessequals @ (c_HOL_Oabs @ X0 @ t_b) @
% 170.24/25.31 (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @ t_b))),
% 170.24/25.31 inference('s_sup-', [status(thm)],
% 170.24/25.31 [zip_derived_cl1070, zip_derived_cl13958])).
% 170.24/25.31 thf(zip_derived_cl13974, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 170.24/25.31 | ~ (c_lessequals @ (c_HOL_Oabs @ X0 @ t_b) @
% 170.24/25.31 (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @ t_b))),
% 170.24/25.31 inference('s_sup-', [status(thm)],
% 170.24/25.31 [zip_derived_cl2462, zip_derived_cl13962])).
% 170.24/25.31 thf(zip_derived_cl2808, plain,
% 170.24/25.31 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 170.24/25.31 inference('cnf', [status(esa)], [zf_stmt_1])).
% 170.24/25.31 thf(zip_derived_cl13976, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 ~ (c_lessequals @ (c_HOL_Oabs @ X0 @ t_b) @
% 170.24/25.31 (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @ t_b)),
% 170.24/25.31 inference('demod', [status(thm)],
% 170.24/25.31 [zip_derived_cl13974, zip_derived_cl2808])).
% 170.24/25.31 thf(cls_Orderings_Olinorder__not__le_0, axiom,
% 170.24/25.31 (( ~( class_Orderings_Olinorder @ T_a ) ) | ( c_less @ V_y @ V_x @ T_a ) |
% 170.24/25.31 ( c_lessequals @ V_x @ V_y @ T_a ))).
% 170.24/25.31 thf(zip_derived_cl2800, plain,
% 170.24/25.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 170.24/25.31 (~ (class_Orderings_Olinorder @ X0)
% 170.24/25.31 | (c_less @ X1 @ X2 @ X0)
% 170.24/25.31 | (c_lessequals @ X2 @ X1 @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)], [cls_Orderings_Olinorder__not__le_0])).
% 170.24/25.31 thf(zip_derived_cl13983, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Orderings_Olinorder @ t_b)
% 170.24/25.31 | (c_less @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 (c_HOL_Oabs @ X0 @ t_b) @ t_b))),
% 170.24/25.31 inference('s_sup+', [status(thm)],
% 170.24/25.31 [zip_derived_cl13976, zip_derived_cl2800])).
% 170.24/25.31 thf(zip_derived_cl27342, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 170.24/25.31 | (c_less @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 (c_HOL_Oabs @ X0 @ t_b) @ t_b))),
% 170.24/25.31 inference('s_sup-', [status(thm)],
% 170.24/25.31 [zip_derived_cl2443, zip_derived_cl13983])).
% 170.24/25.31 thf(zip_derived_cl2808, plain,
% 170.24/25.31 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 170.24/25.31 inference('cnf', [status(esa)], [zf_stmt_1])).
% 170.24/25.31 thf(zip_derived_cl27354, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (c_less @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 (c_HOL_Oabs @ X0 @ t_b) @ t_b)),
% 170.24/25.31 inference('demod', [status(thm)],
% 170.24/25.31 [zip_derived_cl27342, zip_derived_cl2808])).
% 170.24/25.31 thf(zip_derived_cl48188, plain,
% 170.24/25.31 ((~ (class_Orderings_Olinorder @ t_b)
% 170.24/25.31 | ~ (c_less @ c_0 @
% 170.24/25.31 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 170.24/25.31 t_b))),
% 170.24/25.31 inference('demod', [status(thm)],
% 170.24/25.31 [zip_derived_cl48174, zip_derived_cl27354])).
% 170.24/25.31 thf(zip_derived_cl48202, plain,
% 170.24/25.31 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 170.24/25.31 | ~ (c_less @ c_0 @
% 170.24/25.31 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 170.24/25.31 t_b))),
% 170.24/25.31 inference('s_sup-', [status(thm)],
% 170.24/25.31 [zip_derived_cl2443, zip_derived_cl48188])).
% 170.24/25.31 thf(zip_derived_cl2808, plain,
% 170.24/25.31 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 170.24/25.31 inference('cnf', [status(esa)], [zf_stmt_1])).
% 170.24/25.31 thf(zip_derived_cl48203, plain,
% 170.24/25.31 (~ (c_less @ c_0 @
% 170.24/25.31 (c_HOL_Oabs @ (c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) @ t_b) @
% 170.24/25.31 t_b)),
% 170.24/25.31 inference('demod', [status(thm)],
% 170.24/25.31 [zip_derived_cl48202, zip_derived_cl2808])).
% 170.24/25.31 thf(cls_OrderedGroup_Ozero__less__abs__iff_1, axiom,
% 170.24/25.31 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 170.24/25.31 ( c_less @ c_0 @ ( c_HOL_Oabs @ V_a @ T_a ) @ T_a ) |
% 170.24/25.31 ( ( V_a ) = ( c_0 ) ))).
% 170.24/25.31 thf(zip_derived_cl1145, plain,
% 170.24/25.31 (![X0 : $i, X1 : $i]:
% 170.24/25.31 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 170.24/25.31 | (c_less @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0)
% 170.24/25.31 | ((X1) = (c_0)))),
% 170.24/25.31 inference('cnf', [status(esa)],
% 170.24/25.31 [cls_OrderedGroup_Ozero__less__abs__iff_1])).
% 170.24/25.31 thf(zip_derived_cl48224, plain,
% 170.24/25.31 ((~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b)
% 170.24/25.31 | ((c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) = (c_0)))),
% 170.24/25.31 inference('s_sup+', [status(thm)],
% 170.24/25.31 [zip_derived_cl48203, zip_derived_cl1145])).
% 170.24/25.31 thf(zip_derived_cl48233, plain,
% 170.24/25.31 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 170.24/25.31 | ((c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) = (c_0)))),
% 170.24/25.31 inference('s_sup-', [status(thm)],
% 170.24/25.31 [zip_derived_cl2462, zip_derived_cl48224])).
% 170.24/25.31 thf(zip_derived_cl2808, plain,
% 170.24/25.31 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 170.24/25.31 inference('cnf', [status(esa)], [zf_stmt_1])).
% 170.24/25.31 thf(zip_derived_cl48235, plain,
% 170.24/25.31 (((c_minus @ (v_f @ v_x) @ (v_g @ v_x) @ t_b) = (c_0))),
% 170.24/25.31 inference('demod', [status(thm)],
% 170.24/25.31 [zip_derived_cl48233, zip_derived_cl2808])).
% 170.24/25.31 thf(zip_derived_cl48236, plain,
% 170.24/25.31 (~ (c_lessequals @
% 170.24/25.31 (c_Orderings_Omax @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 c_0 @ t_b) @
% 170.24/25.31 (c_HOL_Oabs @ c_0 @ t_b) @ t_b)),
% 170.24/25.31 inference('demod', [status(thm)],
% 170.24/25.31 [zip_derived_cl2807, zip_derived_cl48235])).
% 170.24/25.31 thf(zip_derived_cl48365, plain,
% 170.24/25.31 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 170.24/25.31 | ~ (c_lessequals @
% 170.24/25.31 (c_Orderings_Omax @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 c_0 @ t_b) @
% 170.24/25.31 c_0 @ t_b))),
% 170.24/25.31 inference('s_sup-', [status(thm)],
% 170.24/25.31 [zip_derived_cl6471, zip_derived_cl48236])).
% 170.24/25.31 thf(zip_derived_cl2808, plain,
% 170.24/25.31 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 170.24/25.31 inference('cnf', [status(esa)], [zf_stmt_1])).
% 170.24/25.31 thf(zip_derived_cl48368, plain,
% 170.24/25.31 (~ (c_lessequals @
% 170.24/25.31 (c_Orderings_Omax @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 c_0 @ t_b) @
% 170.24/25.31 c_0 @ t_b)),
% 170.24/25.31 inference('demod', [status(thm)],
% 170.24/25.31 [zip_derived_cl48365, zip_derived_cl2808])).
% 170.24/25.31 thf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2, axiom,
% 170.24/25.31 (( ~( class_Orderings_Olinorder @ T_b ) ) |
% 170.24/25.31 ( ~( c_lessequals @ V_y @ V_z @ T_b ) ) |
% 170.24/25.31 ( ~( c_lessequals @ V_x @ V_z @ T_b ) ) |
% 170.24/25.31 ( c_lessequals @ ( c_Orderings_Omax @ V_x @ V_y @ T_b ) @ V_z @ T_b ))).
% 170.24/25.31 thf(zip_derived_cl1159, plain,
% 170.24/25.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 170.24/25.31 (~ (class_Orderings_Olinorder @ X0)
% 170.24/25.31 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 170.24/25.31 | ~ (c_lessequals @ X3 @ X2 @ X0)
% 170.24/25.31 | (c_lessequals @ (c_Orderings_Omax @ X3 @ X1 @ X0) @ X2 @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)],
% 170.24/25.31 [cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2])).
% 170.24/25.31 thf(zip_derived_cl48739, plain,
% 170.24/25.31 ((~ (class_Orderings_Olinorder @ t_b)
% 170.24/25.31 | ~ (c_lessequals @ c_0 @ c_0 @ t_b)
% 170.24/25.31 | ~ (c_lessequals @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 c_0 @ t_b))),
% 170.24/25.31 inference('s_sup+', [status(thm)],
% 170.24/25.31 [zip_derived_cl48368, zip_derived_cl1159])).
% 170.24/25.31 thf(cls_IntDef_Oof__int__0__eq__iff_1, axiom,
% 170.24/25.31 (( ~( class_Ring__and__Field_Oordered__idom @ T_a ) ) |
% 170.24/25.31 ( ( c_0 ) = ( c_IntDef_Oof__int @ c_0 @ T_a ) ))).
% 170.24/25.31 thf(zip_derived_cl289, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | ((c_0) = (c_IntDef_Oof__int @ c_0 @ X0)))),
% 170.24/25.31 inference('cnf', [status(esa)], [cls_IntDef_Oof__int__0__eq__iff_1])).
% 170.24/25.31 thf(cls_IntDef_Oof__int__0__le__iff_1, axiom,
% 170.24/25.31 (( ~( class_Ring__and__Field_Oordered__idom @ T_a ) ) |
% 170.24/25.31 ( ~( c_lessequals @ c_0 @ V_z @ tc_IntDef_Oint ) ) |
% 170.24/25.31 ( c_lessequals @ c_0 @ ( c_IntDef_Oof__int @ V_z @ T_a ) @ T_a ))).
% 170.24/25.31 thf(zip_derived_cl291, plain,
% 170.24/25.31 (![X0 : $i, X1 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | ~ (c_lessequals @ c_0 @ X1 @ tc_IntDef_Oint)
% 170.24/25.31 | (c_lessequals @ c_0 @ (c_IntDef_Oof__int @ X1 @ X0) @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)], [cls_IntDef_Oof__int__0__le__iff_1])).
% 170.24/25.31 thf(zip_derived_cl10007, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | ~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | ~ (c_lessequals @ c_0 @ c_0 @ tc_IntDef_Oint)
% 170.24/25.31 | (c_lessequals @ c_0 @ c_0 @ X0))),
% 170.24/25.31 inference('s_sup+', [status(thm)], [zip_derived_cl289, zip_derived_cl291])).
% 170.24/25.31 thf(cls_IntDef_Oint__le__0__conv_1, axiom,
% 170.24/25.31 (c_lessequals @ ( c_IntDef_Oint @ c_0 ) @ c_0 @ tc_IntDef_Oint)).
% 170.24/25.31 thf(zip_derived_cl270, plain,
% 170.24/25.31 ( (c_lessequals @ (c_IntDef_Oint @ c_0) @ c_0 @ tc_IntDef_Oint)),
% 170.24/25.31 inference('cnf', [status(esa)], [cls_IntDef_Oint__le__0__conv_1])).
% 170.24/25.31 thf(cls_IntDef_Oint__eq__0__conv_1, axiom,
% 170.24/25.31 (( c_IntDef_Oint @ c_0 ) = ( c_0 ))).
% 170.24/25.31 thf(zip_derived_cl267, plain, (((c_IntDef_Oint @ c_0) = (c_0))),
% 170.24/25.31 inference('cnf', [status(esa)], [cls_IntDef_Oint__eq__0__conv_1])).
% 170.24/25.31 thf(zip_derived_cl2812, plain,
% 170.24/25.31 ( (c_lessequals @ c_0 @ c_0 @ tc_IntDef_Oint)),
% 170.24/25.31 inference('demod', [status(thm)], [zip_derived_cl270, zip_derived_cl267])).
% 170.24/25.31 thf(zip_derived_cl10010, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | ~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | (c_lessequals @ c_0 @ c_0 @ X0))),
% 170.24/25.31 inference('demod', [status(thm)],
% 170.24/25.31 [zip_derived_cl10007, zip_derived_cl2812])).
% 170.24/25.31 thf(zip_derived_cl10011, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 ( (c_lessequals @ c_0 @ c_0 @ X0)
% 170.24/25.31 | ~ (class_Ring__and__Field_Oordered__idom @ X0))),
% 170.24/25.31 inference('simplify', [status(thm)], [zip_derived_cl10010])).
% 170.24/25.31 thf(zip_derived_cl2808, plain,
% 170.24/25.31 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 170.24/25.31 inference('cnf', [status(esa)], [zf_stmt_1])).
% 170.24/25.31 thf(zip_derived_cl10106, plain, ( (c_lessequals @ c_0 @ c_0 @ t_b)),
% 170.24/25.31 inference('s_sup+', [status(thm)],
% 170.24/25.31 [zip_derived_cl10011, zip_derived_cl2808])).
% 170.24/25.31 thf(zip_derived_cl2455, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | (class_Orderings_Oorder @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)],
% 170.24/25.31 [clsrel_Ring__and__Field_Oordered__idom_44])).
% 170.24/25.31 thf(zip_derived_cl2443, plain,
% 170.24/25.31 (![X0 : $i]:
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 170.24/25.31 | (class_Orderings_Olinorder @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)],
% 170.24/25.31 [clsrel_Ring__and__Field_Oordered__idom_33])).
% 170.24/25.31 thf(zip_derived_cl2800, plain,
% 170.24/25.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 170.24/25.31 (~ (class_Orderings_Olinorder @ X0)
% 170.24/25.31 | (c_less @ X1 @ X2 @ X0)
% 170.24/25.31 | (c_lessequals @ X2 @ X1 @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)], [cls_Orderings_Olinorder__not__le_0])).
% 170.24/25.31 thf(zip_derived_cl2806, plain,
% 170.24/25.31 (~ (c_lessequals @ c_0 @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @
% 170.24/25.31 t_b)),
% 170.24/25.31 inference('cnf', [status(esa)], [zf_stmt_2])).
% 170.24/25.31 thf(zip_derived_cl13206, plain,
% 170.24/25.31 (( (c_less @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @ c_0 @ t_b)
% 170.24/25.31 | ~ (class_Orderings_Olinorder @ t_b))),
% 170.24/25.31 inference('s_sup-', [status(thm)],
% 170.24/25.31 [zip_derived_cl2800, zip_derived_cl2806])).
% 170.24/25.31 thf(zip_derived_cl16483, plain,
% 170.24/25.31 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 170.24/25.31 | (c_less @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @ c_0 @ t_b))),
% 170.24/25.31 inference('s_sup-', [status(thm)],
% 170.24/25.31 [zip_derived_cl2443, zip_derived_cl13206])).
% 170.24/25.31 thf(zip_derived_cl2808, plain,
% 170.24/25.31 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 170.24/25.31 inference('cnf', [status(esa)], [zf_stmt_1])).
% 170.24/25.31 thf(zip_derived_cl16484, plain,
% 170.24/25.31 ( (c_less @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @ c_0 @ t_b)),
% 170.24/25.31 inference('demod', [status(thm)],
% 170.24/25.31 [zip_derived_cl16483, zip_derived_cl2808])).
% 170.24/25.31 thf(zip_derived_cl2803, plain,
% 170.24/25.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 170.24/25.31 (~ (class_Orderings_Oorder @ X0)
% 170.24/25.31 | ~ (c_less @ X1 @ X2 @ X0)
% 170.24/25.31 | (c_lessequals @ X1 @ X2 @ X0))),
% 170.24/25.31 inference('cnf', [status(esa)], [cls_Orderings_Oorder__less__imp__le_0])).
% 170.24/25.31 thf(zip_derived_cl16487, plain,
% 170.24/25.31 ((~ (class_Orderings_Oorder @ t_b)
% 170.24/25.31 | (c_lessequals @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @ c_0 @
% 170.24/25.31 t_b))),
% 170.24/25.31 inference('s_sup-', [status(thm)],
% 170.24/25.31 [zip_derived_cl16484, zip_derived_cl2803])).
% 170.24/25.31 thf(zip_derived_cl16493, plain,
% 170.24/25.31 ((~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 170.24/25.31 | (c_lessequals @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @ c_0 @
% 170.24/25.31 t_b))),
% 170.24/25.31 inference('s_sup-', [status(thm)],
% 170.24/25.31 [zip_derived_cl2455, zip_derived_cl16487])).
% 170.24/25.31 thf(zip_derived_cl2808, plain,
% 170.24/25.31 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 170.24/25.31 inference('cnf', [status(esa)], [zf_stmt_1])).
% 170.24/25.31 thf(zip_derived_cl16496, plain,
% 170.24/25.31 ( (c_lessequals @ (c_minus @ (v_f @ v_x) @ (v_k @ v_x) @ t_b) @ c_0 @ t_b)),
% 170.24/25.31 inference('demod', [status(thm)],
% 170.24/25.31 [zip_derived_cl16493, zip_derived_cl2808])).
% 170.24/25.31 thf(zip_derived_cl48801, plain, (~ (class_Orderings_Olinorder @ t_b)),
% 170.24/25.31 inference('demod', [status(thm)],
% 170.24/25.31 [zip_derived_cl48739, zip_derived_cl10106, zip_derived_cl16496])).
% 170.24/25.31 thf(zip_derived_cl48808, plain,
% 170.24/25.31 (~ (class_Ring__and__Field_Oordered__idom @ t_b)),
% 170.24/25.31 inference('s_sup-', [status(thm)],
% 170.24/25.31 [zip_derived_cl2443, zip_derived_cl48801])).
% 170.24/25.31 thf(zip_derived_cl2808, plain,
% 170.24/25.31 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 170.24/25.31 inference('cnf', [status(esa)], [zf_stmt_1])).
% 170.24/25.31 thf(zip_derived_cl48809, plain, ($false),
% 170.24/25.31 inference('demod', [status(thm)],
% 170.24/25.31 [zip_derived_cl48808, zip_derived_cl2808])).
% 170.24/25.31
% 170.24/25.31 % SZS output end Refutation
% 170.24/25.31
% 170.24/25.31
% 170.24/25.32 % Terminating...
% 170.78/25.44 % Runner terminated.
% 170.82/25.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------