%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA017-2 : 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.nyCgAQzcGI true
% Computer : n004.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 04:28:51 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.82s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA017-2 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nyCgAQzcGI true
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 15:24:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.41/0.63 % Total configuration time : 435
% 0.41/0.63 % Estimated wc time : 1092
% 0.41/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.82 % Solved by fo/fo6_bce.sh.
% 0.57/0.82 % BCE start: 10
% 0.57/0.82 % BCE eliminated: 0
% 0.57/0.82 % PE start: 10
% 0.57/0.82 logic: eq
% 0.57/0.82 % PE eliminated: 4
% 0.57/0.82 % done 13 iterations in 0.046s
% 0.57/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.82 % SZS output start Refutation
% 0.57/0.82 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.57/0.82 thf(v_b_type, type, v_b: $i > $i).
% 0.57/0.82 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 0.57/0.82 thf(class_OrderedGroup_Osemigroup__mult_type, type, class_OrderedGroup_Osemigroup__mult:
% 0.57/0.82 $i > $o).
% 0.57/0.82 thf(t_b_type, type, t_b: $i).
% 0.57/0.82 thf(class_Ring__and__Field_Opordered__semiring_type, type, class_Ring__and__Field_Opordered__semiring:
% 0.57/0.82 $i > $o).
% 0.57/0.82 thf(v_x_type, type, v_x: $i > $i).
% 0.57/0.82 thf(v_ca_type, type, v_ca: $i).
% 0.57/0.82 thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs:
% 0.57/0.82 $i > $o).
% 0.57/0.82 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 0.57/0.82 thf(v_c_type, type, v_c: $i).
% 0.57/0.82 thf(v_f_type, type, v_f: $i > $i).
% 0.57/0.82 thf(c_0_type, type, c_0: $i).
% 0.57/0.82 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 0.57/0.82 $i > $o).
% 0.57/0.82 thf(cls_conjecture_0, conjecture,
% 0.57/0.82 (~( c_lessequals @
% 0.57/0.82 ( c_HOL_Oabs @ ( v_b @ V_U ) @ t_b ) @
% 0.57/0.82 ( c_times @ v_ca @ ( c_HOL_Oabs @ ( v_f @ V_U ) @ t_b ) @ t_b ) @ t_b ))).
% 0.57/0.82 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.82 (c_lessequals @
% 0.57/0.82 ( c_HOL_Oabs @ ( v_b @ V_U ) @ t_b ) @
% 0.57/0.82 ( c_times @ v_ca @ ( c_HOL_Oabs @ ( v_f @ V_U ) @ t_b ) @ t_b ) @ t_b),
% 0.57/0.82 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.57/0.82 thf(zip_derived_cl0, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 (c_lessequals @ (c_HOL_Oabs @ (v_b @ X0) @ t_b) @
% 0.57/0.82 (c_times @ v_ca @ (c_HOL_Oabs @ (v_f @ X0) @ t_b) @ t_b) @ t_b)),
% 0.57/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.82 thf(tfree_tcs, conjecture,
% 0.57/0.82 (~( class_Ring__and__Field_Oordered__idom @ t_b ))).
% 0.57/0.82 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.82 (class_Ring__and__Field_Oordered__idom @ t_b),
% 0.57/0.82 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 0.57/0.82 thf(zip_derived_cl2, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.57/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.82 thf(cls_Ring__and__Field_Oabs__mult_0, axiom,
% 0.57/0.82 (( ~( class_Ring__and__Field_Oordered__idom @ T_a ) ) |
% 0.57/0.82 ( ( c_HOL_Oabs @ ( c_times @ V_a @ V_b @ T_a ) @ T_a ) =
% 0.57/0.82 ( c_times @
% 0.57/0.82 ( c_HOL_Oabs @ V_a @ T_a ) @ ( c_HOL_Oabs @ V_b @ T_a ) @ T_a ) ))).
% 0.57/0.82 thf(zip_derived_cl5, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.57/0.82 | ((c_HOL_Oabs @ (c_times @ X1 @ X2 @ X0) @ X0)
% 0.57/0.82 = (c_times @ (c_HOL_Oabs @ X1 @ X0) @ (c_HOL_Oabs @ X2 @ X0) @ X0)))),
% 0.57/0.82 inference('cnf', [status(esa)], [cls_Ring__and__Field_Oabs__mult_0])).
% 0.57/0.82 thf(zip_derived_cl47, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i]:
% 0.57/0.82 ((c_HOL_Oabs @ (c_times @ X1 @ X0 @ t_b) @ t_b)
% 0.57/0.82 = (c_times @ (c_HOL_Oabs @ X1 @ t_b) @ (c_HOL_Oabs @ X0 @ t_b) @ t_b))),
% 0.57/0.82 inference('dp-resolution', [status(thm)],
% 0.57/0.82 [zip_derived_cl2, zip_derived_cl5])).
% 0.57/0.82 thf(zip_derived_cl2, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.57/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.82 thf(clsrel_Ring__and__Field_Oordered__idom_42, axiom,
% 0.57/0.82 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.57/0.82 ( class_Ring__and__Field_Opordered__semiring @ T ))).
% 0.57/0.82 thf(zip_derived_cl8, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.57/0.82 | (class_Ring__and__Field_Opordered__semiring @ X0))),
% 0.57/0.82 inference('cnf', [status(esa)],
% 0.57/0.82 [clsrel_Ring__and__Field_Oordered__idom_42])).
% 0.57/0.82 thf(cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0, axiom,
% 0.57/0.82 (( ~( class_Ring__and__Field_Opordered__semiring @ T_a ) ) |
% 0.57/0.82 ( ~( c_lessequals @ V_a @ V_b @ T_a ) ) |
% 0.57/0.82 ( ~( c_lessequals @ c_0 @ V_c @ T_a ) ) |
% 0.57/0.82 ( c_lessequals @
% 0.57/0.82 ( c_times @ V_c @ V_a @ T_a ) @ ( c_times @ V_c @ V_b @ T_a ) @ T_a ))).
% 0.57/0.82 thf(zip_derived_cl6, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.82 (~ (class_Ring__and__Field_Opordered__semiring @ X0)
% 0.57/0.82 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 0.57/0.82 | ~ (c_lessequals @ c_0 @ X3 @ X0)
% 0.57/0.82 | (c_lessequals @ (c_times @ X3 @ X1 @ X0) @
% 0.57/0.82 (c_times @ X3 @ X2 @ X0) @ X0))),
% 0.57/0.82 inference('cnf', [status(esa)],
% 0.57/0.82 [cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0])).
% 0.57/0.82 thf(zip_derived_cl46, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.82 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.57/0.82 | (c_lessequals @ (c_times @ X3 @ X2 @ X0) @
% 0.57/0.82 (c_times @ X3 @ X1 @ X0) @ X0)
% 0.57/0.82 | ~ (c_lessequals @ c_0 @ X3 @ X0)
% 0.57/0.82 | ~ (c_lessequals @ X2 @ X1 @ X0))),
% 0.57/0.82 inference('dp-resolution', [status(thm)],
% 0.57/0.82 [zip_derived_cl8, zip_derived_cl6])).
% 0.57/0.82 thf(zip_derived_cl50, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82 (~ (c_lessequals @ X2 @ X0 @ t_b)
% 0.57/0.82 | ~ (c_lessequals @ c_0 @ X1 @ t_b)
% 0.57/0.82 | (c_lessequals @ (c_times @ X1 @ X2 @ t_b) @
% 0.57/0.82 (c_times @ X1 @ X0 @ t_b) @ t_b))),
% 0.57/0.82 inference('dp-resolution', [status(thm)],
% 0.57/0.82 [zip_derived_cl2, zip_derived_cl46])).
% 0.57/0.82 thf(zip_derived_cl82, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82 (~ (c_lessequals @ (c_HOL_Oabs @ X0 @ t_b) @ X2 @ t_b)
% 0.57/0.82 | ~ (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ t_b) @ t_b)
% 0.57/0.82 | (c_lessequals @ (c_HOL_Oabs @ (c_times @ X1 @ X0 @ t_b) @ t_b) @
% 0.57/0.82 (c_times @ (c_HOL_Oabs @ X1 @ t_b) @ X2 @ t_b) @ t_b))),
% 0.57/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl50])).
% 0.57/0.82 thf(zip_derived_cl2, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.57/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.82 thf(clsrel_Ring__and__Field_Oordered__idom_50, axiom,
% 0.57/0.82 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.57/0.82 ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 0.57/0.82 thf(zip_derived_cl9, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.57/0.82 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 0.57/0.82 inference('cnf', [status(esa)],
% 0.57/0.82 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 0.57/0.82 thf(cls_OrderedGroup_Oabs__ge__zero_0, axiom,
% 0.57/0.82 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 0.57/0.82 ( c_lessequals @ c_0 @ ( c_HOL_Oabs @ V_a @ T_a ) @ T_a ))).
% 0.57/0.82 thf(zip_derived_cl3, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i]:
% 0.57/0.82 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.57/0.82 | (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 0.57/0.82 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__ge__zero_0])).
% 0.57/0.82 thf(zip_derived_cl44, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i]:
% 0.57/0.82 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.57/0.82 | (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 0.57/0.82 inference('dp-resolution', [status(thm)],
% 0.57/0.82 [zip_derived_cl9, zip_derived_cl3])).
% 0.57/0.82 thf(zip_derived_cl48, plain,
% 0.57/0.82 (![X0 : $i]: (c_lessequals @ c_0 @ (c_HOL_Oabs @ X0 @ t_b) @ t_b)),
% 0.57/0.82 inference('dp-resolution', [status(thm)],
% 0.57/0.82 [zip_derived_cl2, zip_derived_cl44])).
% 0.57/0.82 thf(zip_derived_cl86, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82 (~ (c_lessequals @ (c_HOL_Oabs @ X0 @ t_b) @ X2 @ t_b)
% 0.57/0.82 | (c_lessequals @ (c_HOL_Oabs @ (c_times @ X1 @ X0 @ t_b) @ t_b) @
% 0.57/0.82 (c_times @ (c_HOL_Oabs @ X1 @ t_b) @ X2 @ t_b) @ t_b))),
% 0.57/0.82 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl48])).
% 0.57/0.82 thf(zip_derived_cl2, plain, ( (class_Ring__and__Field_Oordered__idom @ t_b)),
% 0.57/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.82 thf(clsrel_Ring__and__Field_Oordered__idom_21, axiom,
% 0.57/0.82 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.57/0.82 ( class_OrderedGroup_Osemigroup__mult @ T ))).
% 0.57/0.82 thf(zip_derived_cl7, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.57/0.82 | (class_OrderedGroup_Osemigroup__mult @ X0))),
% 0.57/0.82 inference('cnf', [status(esa)],
% 0.57/0.82 [clsrel_Ring__and__Field_Oordered__idom_21])).
% 0.57/0.82 thf(cls_OrderedGroup_Omult__ac__1_0, axiom,
% 0.57/0.82 (( ~( class_OrderedGroup_Osemigroup__mult @ T_a ) ) |
% 0.57/0.82 ( ( c_times @ ( c_times @ V_a @ V_b @ T_a ) @ V_c @ T_a ) =
% 0.57/0.82 ( c_times @ V_a @ ( c_times @ V_b @ V_c @ T_a ) @ T_a ) ))).
% 0.57/0.82 thf(zip_derived_cl4, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.82 (~ (class_OrderedGroup_Osemigroup__mult @ X0)
% 0.57/0.82 | ((c_times @ (c_times @ X1 @ X2 @ X0) @ X3 @ X0)
% 0.57/0.82 = (c_times @ X1 @ (c_times @ X2 @ X3 @ X0) @ X0)))),
% 0.57/0.82 inference('cnf', [status(esa)], [cls_OrderedGroup_Omult__ac__1_0])).
% 0.57/0.82 thf(zip_derived_cl45, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.82 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.57/0.82 | ((c_times @ (c_times @ X3 @ X2 @ X0) @ X1 @ X0)
% 0.57/0.82 = (c_times @ X3 @ (c_times @ X2 @ X1 @ X0) @ X0)))),
% 0.57/0.82 inference('dp-resolution', [status(thm)],
% 0.57/0.82 [zip_derived_cl7, zip_derived_cl4])).
% 0.57/0.82 thf(zip_derived_cl49, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.82 ((c_times @ (c_times @ X2 @ X1 @ t_b) @ X0 @ t_b)
% 0.57/0.82 = (c_times @ X2 @ (c_times @ X1 @ X0 @ t_b) @ t_b))),
% 0.57/0.82 inference('dp-resolution', [status(thm)],
% 0.57/0.82 [zip_derived_cl2, zip_derived_cl45])).
% 0.57/0.82 thf(cls_conjecture_1, conjecture,
% 0.57/0.82 (c_lessequals @
% 0.57/0.82 ( c_HOL_Oabs @ ( c_times @ v_c @ ( v_b @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 0.57/0.82 ( c_times @ V_U @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 0.57/0.82 t_b)).
% 0.57/0.82 thf(zf_stmt_2, negated_conjecture,
% 0.57/0.82 (~( c_lessequals @
% 0.57/0.82 ( c_HOL_Oabs @ ( c_times @ v_c @ ( v_b @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 0.57/0.82 ( c_times @ V_U @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @
% 0.57/0.82 t_b )),
% 0.57/0.82 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.57/0.82 thf(zip_derived_cl1, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ~ (c_lessequals @
% 0.57/0.82 (c_HOL_Oabs @ (c_times @ v_c @ (v_b @ (v_x @ X0)) @ t_b) @ t_b) @
% 0.57/0.82 (c_times @ X0 @ (c_HOL_Oabs @ (v_f @ (v_x @ X0)) @ t_b) @ t_b) @
% 0.57/0.82 t_b)),
% 0.57/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.82 thf(zip_derived_cl53, plain,
% 0.57/0.82 (![X0 : $i, X1 : $i]:
% 0.57/0.82 ~ (c_lessequals @
% 0.57/0.82 (c_HOL_Oabs @
% 0.57/0.82 (c_times @ v_c @ (v_b @ (v_x @ (c_times @ X1 @ X0 @ t_b))) @ t_b) @
% 0.57/0.82 t_b) @
% 0.57/0.82 (c_times @ X1 @
% 0.57/0.82 (c_times @ X0 @
% 0.57/0.82 (c_HOL_Oabs @ (v_f @ (v_x @ (c_times @ X1 @ X0 @ t_b))) @ t_b) @
% 0.57/0.82 t_b) @
% 0.57/0.82 t_b) @
% 0.57/0.82 t_b)),
% 0.57/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl1])).
% 0.57/0.82 thf(zip_derived_cl102, plain,
% 0.57/0.82 (![X0 : $i]:
% 0.57/0.82 ~ (c_lessequals @
% 0.57/0.82 (c_HOL_Oabs @
% 0.57/0.82 (v_b @ (v_x @ (c_times @ (c_HOL_Oabs @ v_c @ t_b) @ X0 @ t_b))) @
% 0.57/0.82 t_b) @
% 0.57/0.82 (c_times @ X0 @
% 0.57/0.82 (c_HOL_Oabs @
% 0.57/0.82 (v_f @ (v_x @ (c_times @ (c_HOL_Oabs @ v_c @ t_b) @ X0 @ t_b))) @
% 0.57/0.82 t_b) @
% 0.57/0.82 t_b) @
% 0.57/0.82 t_b)),
% 0.57/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl53])).
% 0.57/0.82 thf(zip_derived_cl134, plain, ($false),
% 0.57/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl102])).
% 0.57/0.82
% 0.57/0.82 % SZS output end Refutation
% 0.57/0.82
% 0.57/0.82
% 0.57/0.82 % Terminating...
% 1.53/0.85 % Runner terminated.
% 1.53/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------