%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA010-1 : 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.yvRqtbiacJ true
% Computer : n026.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 04:28:49 PM UTC 2025
% Result : Unsatisfiable 82.66s 12.34s
% Output : Refutation 82.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : ANA010-1 : TPTP v9.2.0. Released v3.2.0.
% 0.00/0.08 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yvRqtbiacJ true
% 0.07/0.26 % Computer : n026.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Wed Oct 1 15:21:23 EDT 2025
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Running portfolio for 300 s
% 0.07/0.26 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % Number of cores: 8
% 0.07/0.26 % Python version: Python 3.6.8
% 0.07/0.26 % Running in FO mode
% 0.44/0.52 % Total configuration time : 435
% 0.44/0.52 % Estimated wc time : 1092
% 0.44/0.52 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.61 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.63 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.63 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.64 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.64 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.67 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.67 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 82.66/12.34 % Solved by fo/fo6_bce.sh.
% 82.66/12.34 % BCE start: 2788
% 82.66/12.34 % BCE eliminated: 331
% 82.66/12.34 % PE start: 2457
% 82.66/12.34 logic: eq
% 82.66/12.34 % PE eliminated: -98
% 82.66/12.34 % done 8052 iterations in 11.698s
% 82.66/12.34 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 82.66/12.34 % SZS output start Refutation
% 82.66/12.34 thf(v_f_type, type, v_f: $i > $i).
% 82.66/12.34 thf(v_g_type, type, v_g: $i > $i).
% 82.66/12.34 thf(class_LOrder_Olorder_type, type, class_LOrder_Olorder: $i > $o).
% 82.66/12.34 thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs:
% 82.66/12.34 $i > $o).
% 82.66/12.34 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 82.66/12.34 thf(v_c_type, type, v_c: $i).
% 82.66/12.34 thf(v_x_type, type, v_x: $i > $i).
% 82.66/12.34 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 82.66/12.34 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 82.66/12.34 thf(t_b_type, type, t_b: $i).
% 82.66/12.34 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 82.66/12.34 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 82.66/12.34 $i > $o).
% 82.66/12.34 thf(c_0_type, type, c_0: $i).
% 82.66/12.34 thf(clsrel_Ring__and__Field_Oordered__idom_50, axiom,
% 82.66/12.34 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 82.66/12.34 ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 82.66/12.34 thf(zip_derived_cl2462, plain,
% 82.66/12.34 (![X0 : $i]:
% 82.66/12.34 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 82.66/12.34 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 82.66/12.34 inference('cnf', [status(esa)],
% 82.66/12.34 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 82.66/12.34 thf(clsrel_Ring__and__Field_Oordered__idom_34, axiom,
% 82.66/12.34 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 82.66/12.34 ( class_LOrder_Olorder @ T ))).
% 82.66/12.34 thf(zip_derived_cl2444, plain,
% 82.66/12.34 (![X0 : $i]:
% 82.66/12.34 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 82.66/12.34 | (class_LOrder_Olorder @ X0))),
% 82.66/12.34 inference('cnf', [status(esa)],
% 82.66/12.34 [clsrel_Ring__and__Field_Oordered__idom_34])).
% 82.66/12.34 thf(clsrel_LOrder_Olorder_2, axiom,
% 82.66/12.34 (( ~( class_LOrder_Olorder @ T ) ) | ( class_Orderings_Oorder @ T ))).
% 82.66/12.34 thf(zip_derived_cl1877, plain,
% 82.66/12.34 (![X0 : $i]:
% 82.66/12.34 (~ (class_LOrder_Olorder @ X0) | (class_Orderings_Oorder @ X0))),
% 82.66/12.34 inference('cnf', [status(esa)], [clsrel_LOrder_Olorder_2])).
% 82.66/12.34 thf(zip_derived_cl27617, plain,
% 82.66/12.34 (![X0 : $i]:
% 82.66/12.34 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 82.66/12.34 | (class_Orderings_Oorder @ X0))),
% 82.66/12.34 inference('s_sup-', [status(thm)],
% 82.66/12.34 [zip_derived_cl2444, zip_derived_cl1877])).
% 82.66/12.34 thf(cls_conjecture_1, conjecture,
% 82.66/12.34 (~( c_lessequals @
% 82.66/12.34 ( v_f @ V_U ) @ ( c_times @ v_c @ ( v_g @ V_U ) @ t_b ) @ t_b ))).
% 82.66/12.34 thf(zf_stmt_0, negated_conjecture,
% 82.66/12.34 (c_lessequals @
% 82.66/12.34 ( v_f @ V_U ) @ ( c_times @ v_c @ ( v_g @ V_U ) @ t_b ) @ t_b),
% 82.66/12.34 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 82.66/12.34 thf(zip_derived_cl2785, plain,
% 82.66/12.34 (![X0 : $i]:
% 82.66/12.34 (c_lessequals @ (v_f @ X0) @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b)),
% 82.66/12.34 inference('cnf', [status(esa)], [zf_stmt_0])).
% 82.66/12.34 thf(cls_Orderings_Oorder__class_Oorder__trans_0, axiom,
% 82.66/12.34 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 82.66/12.34 ( ~( c_lessequals @ V_y @ V_z @ T_a ) ) |
% 82.66/12.34 ( ~( c_lessequals @ V_x @ V_y @ T_a ) ) |
% 82.66/12.34 ( c_lessequals @ V_x @ V_z @ T_a ))).
% 82.66/12.34 thf(zip_derived_cl2780, plain,
% 82.66/12.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.66/12.34 (~ (class_Orderings_Oorder @ X0)
% 82.66/12.34 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 82.66/12.34 | ~ (c_lessequals @ X3 @ X1 @ X0)
% 82.66/12.34 | (c_lessequals @ X3 @ X2 @ X0))),
% 82.66/12.34 inference('cnf', [status(esa)],
% 82.66/12.34 [cls_Orderings_Oorder__class_Oorder__trans_0])).
% 82.66/12.34 thf(zip_derived_cl53720, plain,
% 82.66/12.34 (![X0 : $i, X1 : $i]:
% 82.66/12.34 (~ (class_Orderings_Oorder @ t_b)
% 82.66/12.34 | ~ (c_lessequals @ X1 @ (v_f @ X0) @ t_b)
% 82.66/12.34 | (c_lessequals @ X1 @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b))),
% 82.66/12.34 inference('s_sup-', [status(thm)],
% 82.66/12.34 [zip_derived_cl2785, zip_derived_cl2780])).
% 82.66/12.34 thf(zip_derived_cl63383, plain,
% 82.66/12.34 (![X0 : $i, X1 : $i]:
% 82.66/12.34 (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 82.66/12.34 | ~ (c_lessequals @ X1 @ (v_f @ X0) @ t_b)
% 82.66/12.34 | (c_lessequals @ X1 @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b))),
% 82.66/12.34 inference('s_sup-', [status(thm)],
% 82.66/12.34 [zip_derived_cl27617, zip_derived_cl53720])).
% 82.66/12.34 thf(tfree_tcs, conjecture,
% 82.66/12.34 (~( class_Ring__and__Field_Oordered__idom @ t_b ))).
% 82.66/12.34 thf(zf_stmt_1, negated_conjecture,
% 82.66/12.34 (class_Ring__and__Field_Oordered__idom @ t_b),
% 82.66/12.34 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 82.66/12.34 thf(zip_derived_cl2787, plain,
% 82.66/12.34 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 82.66/12.34 inference('cnf', [status(esa)], [zf_stmt_1])).
% 82.66/12.34 thf(zip_derived_cl63384, plain,
% 82.66/12.34 (![X0 : $i, X1 : $i]:
% 82.66/12.34 (~ (c_lessequals @ X1 @ (v_f @ X0) @ t_b)
% 82.66/12.34 | (c_lessequals @ X1 @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b))),
% 82.66/12.34 inference('demod', [status(thm)],
% 82.66/12.34 [zip_derived_cl63383, zip_derived_cl2787])).
% 82.66/12.34 thf(cls_OrderedGroup_Oabs__of__nonneg_0, axiom,
% 82.66/12.34 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 82.66/12.34 ( ~( c_lessequals @ c_0 @ V_y @ T_a ) ) |
% 82.66/12.34 ( ( c_HOL_Oabs @ V_y @ T_a ) = ( V_y ) ))).
% 82.66/12.34 thf(zip_derived_cl1076, plain,
% 82.66/12.34 (![X0 : $i, X1 : $i]:
% 82.66/12.34 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 82.66/12.34 | ~ (c_lessequals @ c_0 @ X1 @ X0)
% 82.66/12.34 | ((c_HOL_Oabs @ X1 @ X0) = (X1)))),
% 82.66/12.34 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__of__nonneg_0])).
% 82.66/12.34 thf(zip_derived_cl63396, plain,
% 82.66/12.34 (![X0 : $i]:
% 82.66/12.34 (~ (c_lessequals @ c_0 @ (v_f @ X0) @ t_b)
% 82.66/12.34 | ~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b)
% 82.66/12.34 | ((c_HOL_Oabs @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b)
% 82.66/12.34 = (c_times @ v_c @ (v_g @ X0) @ t_b)))),
% 82.66/12.34 inference('s_sup-', [status(thm)],
% 82.66/12.34 [zip_derived_cl63384, zip_derived_cl1076])).
% 82.66/12.34 thf(cls_conjecture_0, conjecture,
% 82.66/12.34 (~( c_lessequals @ c_0 @ ( v_f @ V_U ) @ t_b ))).
% 82.66/12.34 thf(zf_stmt_2, negated_conjecture,
% 82.66/12.34 (c_lessequals @ c_0 @ ( v_f @ V_U ) @ t_b),
% 82.66/12.34 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 82.66/12.34 thf(zip_derived_cl2784, plain,
% 82.66/12.34 (![X0 : $i]: (c_lessequals @ c_0 @ (v_f @ X0) @ t_b)),
% 82.66/12.34 inference('cnf', [status(esa)], [zf_stmt_2])).
% 82.66/12.34 thf(zip_derived_cl63405, plain,
% 82.66/12.34 (![X0 : $i]:
% 82.66/12.34 (~ (class_OrderedGroup_Olordered__ab__group__abs @ t_b)
% 82.66/12.34 | ((c_HOL_Oabs @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b)
% 82.66/12.34 = (c_times @ v_c @ (v_g @ X0) @ t_b)))),
% 82.66/12.34 inference('demod', [status(thm)],
% 82.66/12.34 [zip_derived_cl63396, zip_derived_cl2784])).
% 82.66/12.34 thf(zip_derived_cl63464, plain,
% 82.66/12.34 (![X0 : $i]:
% 82.66/12.34 (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 82.66/12.34 | ((c_HOL_Oabs @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b)
% 82.66/12.34 = (c_times @ v_c @ (v_g @ X0) @ t_b)))),
% 82.66/12.34 inference('s_sup-', [status(thm)],
% 82.66/12.34 [zip_derived_cl2462, zip_derived_cl63405])).
% 82.66/12.34 thf(zip_derived_cl2787, plain,
% 82.66/12.34 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 82.66/12.34 inference('cnf', [status(esa)], [zf_stmt_1])).
% 82.66/12.34 thf(zip_derived_cl63466, plain,
% 82.66/12.34 (![X0 : $i]:
% 82.66/12.34 ((c_HOL_Oabs @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b)
% 82.66/12.34 = (c_times @ v_c @ (v_g @ X0) @ t_b))),
% 82.66/12.34 inference('demod', [status(thm)],
% 82.66/12.34 [zip_derived_cl63464, zip_derived_cl2787])).
% 82.66/12.34 thf(cls_Ring__and__Field_Oabs__mult_0, axiom,
% 82.66/12.34 (( ~( class_Ring__and__Field_Oordered__idom @ T_a ) ) |
% 82.66/12.34 ( ( c_HOL_Oabs @ ( c_times @ V_a @ V_b @ T_a ) @ T_a ) =
% 82.66/12.34 ( c_times @
% 82.66/12.34 ( c_HOL_Oabs @ V_a @ T_a ) @ ( c_HOL_Oabs @ V_b @ T_a ) @ T_a ) ))).
% 82.66/12.34 thf(zip_derived_cl2781, plain,
% 82.66/12.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 82.66/12.34 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 82.66/12.34 | ((c_HOL_Oabs @ (c_times @ X1 @ X2 @ X0) @ X0)
% 82.66/12.34 = (c_times @ (c_HOL_Oabs @ X1 @ X0) @ (c_HOL_Oabs @ X2 @ X0) @ X0)))),
% 82.66/12.34 inference('cnf', [status(esa)], [cls_Ring__and__Field_Oabs__mult_0])).
% 82.66/12.34 thf(cls_conjecture_2, conjecture,
% 82.66/12.34 (c_lessequals @
% 82.66/12.34 ( v_f @ ( v_x @ V_U ) ) @
% 82.66/12.34 ( c_times @ V_U @ ( c_HOL_Oabs @ ( v_g @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 82.66/12.34 t_b)).
% 82.66/12.34 thf(zf_stmt_3, negated_conjecture,
% 82.66/12.34 (~( c_lessequals @
% 82.66/12.34 ( v_f @ ( v_x @ V_U ) ) @
% 82.66/12.34 ( c_times @ V_U @ ( c_HOL_Oabs @ ( v_g @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 82.66/12.34 t_b )),
% 82.66/12.34 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 82.66/12.34 thf(zip_derived_cl2786, plain,
% 82.66/12.34 (![X0 : $i]:
% 82.66/12.34 ~ (c_lessequals @ (v_f @ (v_x @ X0)) @
% 82.66/12.34 (c_times @ X0 @ (c_HOL_Oabs @ (v_g @ (v_x @ X0)) @ t_b) @ t_b) @
% 82.66/12.34 t_b)),
% 82.66/12.34 inference('cnf', [status(esa)], [zf_stmt_3])).
% 82.66/12.34 thf(zip_derived_cl53851, plain,
% 82.66/12.34 (![X0 : $i]:
% 82.66/12.34 (~ (class_Ring__and__Field_Oordered__idom @ t_b)
% 82.66/12.34 | ~ (c_lessequals @ (v_f @ (v_x @ (c_HOL_Oabs @ X0 @ t_b))) @
% 82.66/12.34 (c_HOL_Oabs @
% 82.66/12.34 (c_times @ X0 @ (v_g @ (v_x @ (c_HOL_Oabs @ X0 @ t_b))) @ t_b) @
% 82.66/12.34 t_b) @
% 82.66/12.34 t_b))),
% 82.66/12.34 inference('s_sup-', [status(thm)],
% 82.66/12.34 [zip_derived_cl2781, zip_derived_cl2786])).
% 82.66/12.34 thf(zip_derived_cl2787, plain,
% 82.66/12.34 ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 82.66/12.34 inference('cnf', [status(esa)], [zf_stmt_1])).
% 82.66/12.34 thf(zip_derived_cl53996, plain,
% 82.66/12.34 (![X0 : $i]:
% 82.66/12.34 ~ (c_lessequals @ (v_f @ (v_x @ (c_HOL_Oabs @ X0 @ t_b))) @
% 82.66/12.34 (c_HOL_Oabs @
% 82.66/12.34 (c_times @ X0 @ (v_g @ (v_x @ (c_HOL_Oabs @ X0 @ t_b))) @ t_b) @
% 82.66/12.34 t_b) @
% 82.66/12.34 t_b)),
% 82.66/12.34 inference('demod', [status(thm)],
% 82.66/12.34 [zip_derived_cl53851, zip_derived_cl2787])).
% 82.66/12.34 thf(zip_derived_cl63504, plain,
% 82.66/12.34 (~ (c_lessequals @ (v_f @ (v_x @ (c_HOL_Oabs @ v_c @ t_b))) @
% 82.66/12.34 (c_times @ v_c @ (v_g @ (v_x @ (c_HOL_Oabs @ v_c @ t_b))) @ t_b) @
% 82.66/12.34 t_b)),
% 82.66/12.34 inference('s_sup-', [status(thm)],
% 82.66/12.34 [zip_derived_cl63466, zip_derived_cl53996])).
% 82.66/12.34 thf(zip_derived_cl2785, plain,
% 82.66/12.34 (![X0 : $i]:
% 82.66/12.34 (c_lessequals @ (v_f @ X0) @ (c_times @ v_c @ (v_g @ X0) @ t_b) @ t_b)),
% 82.66/12.34 inference('cnf', [status(esa)], [zf_stmt_0])).
% 82.66/12.34 thf(zip_derived_cl63511, plain, ($false),
% 82.66/12.34 inference('demod', [status(thm)],
% 82.66/12.34 [zip_derived_cl63504, zip_derived_cl2785])).
% 82.66/12.34
% 82.66/12.34 % SZS output end Refutation
% 82.66/12.34
% 82.66/12.34
% 82.66/12.34 % Terminating...
% 82.66/12.39 % Runner terminated.
% 82.69/12.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------