%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA020-2 : 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.KNbs8hCz3q 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 04:28:51 PM UTC 2025
% Result : Unsatisfiable 0.50s 0.89s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.15 % Problem : ANA020-2 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.17 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KNbs8hCz3q true
% 0.11/0.40 % Computer : n026.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8042.1875MB
% 0.11/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Wed Oct 1 15:22:08 EDT 2025
% 0.11/0.40 % CPUTime :
% 0.11/0.40 % Running portfolio for 300 s
% 0.11/0.40 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.40 % Number of cores: 8
% 0.11/0.40 % Python version: Python 3.6.8
% 0.11/0.41 % Running in FO mode
% 0.48/0.71 % Total configuration time : 435
% 0.48/0.71 % Estimated wc time : 1092
% 0.48/0.71 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.81 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.82 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.84 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.88 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.89 % Solved by fo/fo3_bce.sh.
% 0.50/0.89 % BCE start: 12
% 0.50/0.89 % BCE eliminated: 0
% 0.50/0.89 % PE start: 12
% 0.50/0.89 logic: eq
% 0.50/0.89 % PE eliminated: 5
% 0.50/0.89 % done 7 iterations in 0.014s
% 0.50/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/0.89 % SZS output start Refutation
% 0.50/0.89 thf(t_a_type, type, t_a: $i).
% 0.50/0.89 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 0.50/0.89 thf(c_0_type, type, c_0: $i).
% 0.50/0.89 thf(v_h_type, type, v_h: $i > $i).
% 0.50/0.89 thf(v_c_type, type, v_c: $i).
% 0.50/0.89 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 0.50/0.89 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 0.50/0.89 thf(class_Ring__and__Field_Opordered__cancel__semiring_type, type, class_Ring__and__Field_Opordered__cancel__semiring:
% 0.50/0.89 $i > $o).
% 0.50/0.89 thf(v_x_type, type, v_x: $i).
% 0.50/0.89 thf(v_f_type, type, v_f: $i > $i).
% 0.50/0.89 thf(c_less_type, type, c_less: $i > $i > $i > $o).
% 0.50/0.89 thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs:
% 0.50/0.89 $i > $o).
% 0.50/0.89 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.50/0.89 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 0.50/0.89 $i > $o).
% 0.50/0.89 thf(cls_conjecture_4, conjecture,
% 0.50/0.89 (c_lessequals @
% 0.50/0.89 ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_a ) @
% 0.50/0.89 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_h @ v_x ) @ t_a ) @ t_a ) @ t_a)).
% 0.50/0.89 thf(zf_stmt_0, negated_conjecture,
% 0.50/0.89 (~( c_lessequals @
% 0.50/0.89 ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_a ) @
% 0.50/0.89 ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_h @ v_x ) @ t_a ) @ t_a ) @ t_a )),
% 0.50/0.89 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.50/0.89 thf(zip_derived_cl3, plain,
% 0.50/0.89 (~ (c_lessequals @ (c_HOL_Oabs @ (v_f @ v_x) @ t_a) @
% 0.50/0.89 (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ v_x) @ t_a) @ t_a) @ t_a)),
% 0.50/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.89 thf(cls_conjecture_3, conjecture, (( v_x ) != ( c_0 ))).
% 0.50/0.89 thf(zf_stmt_1, negated_conjecture, (( v_x ) = ( c_0 )),
% 0.50/0.89 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.50/0.89 thf(zip_derived_cl2, plain, (((v_x) = (c_0))),
% 0.50/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.89 thf(cls_conjecture_0, conjecture, (( v_f @ c_0 ) != ( c_0 ))).
% 0.50/0.89 thf(zf_stmt_2, negated_conjecture, (( v_f @ c_0 ) = ( c_0 )),
% 0.50/0.89 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.50/0.89 thf(zip_derived_cl0, plain, (((v_f @ c_0) = (c_0))),
% 0.50/0.89 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.89 thf(tfree_tcs, conjecture,
% 0.50/0.89 (~( class_Ring__and__Field_Oordered__idom @ t_a ))).
% 0.50/0.89 thf(zf_stmt_3, negated_conjecture,
% 0.50/0.89 (class_Ring__and__Field_Oordered__idom @ t_a),
% 0.50/0.89 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 0.50/0.89 thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 0.50/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.50/0.89 thf(clsrel_Ring__and__Field_Oordered__idom_50, axiom,
% 0.50/0.89 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.50/0.89 ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 0.50/0.89 thf(zip_derived_cl11, plain,
% 0.50/0.89 (![X0 : $i]:
% 0.50/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.50/0.89 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 0.50/0.89 inference('cnf', [status(esa)],
% 0.50/0.89 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 0.50/0.89 thf(cls_OrderedGroup_Oabs__eq__0_1, axiom,
% 0.50/0.89 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 0.50/0.89 ( ( c_HOL_Oabs @ c_0 @ T_a ) = ( c_0 ) ))).
% 0.50/0.89 thf(zip_derived_cl5, plain,
% 0.50/0.89 (![X0 : $i]:
% 0.50/0.89 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.50/0.89 | ((c_HOL_Oabs @ c_0 @ X0) = (c_0)))),
% 0.50/0.89 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__eq__0_1])).
% 0.50/0.89 thf(zip_derived_cl53, plain,
% 0.50/0.89 (![X0 : $i]:
% 0.50/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.50/0.89 | ((c_HOL_Oabs @ c_0 @ X0) = (c_0)))),
% 0.50/0.89 inference('dp-resolution', [status(thm)],
% 0.50/0.89 [zip_derived_cl11, zip_derived_cl5])).
% 0.50/0.89 thf(zip_derived_cl59, plain, (((c_HOL_Oabs @ c_0 @ t_a) = (c_0))),
% 0.50/0.89 inference('dp-resolution', [status(thm)],
% 0.50/0.89 [zip_derived_cl4, zip_derived_cl53])).
% 0.50/0.89 thf(zip_derived_cl2, plain, (((v_x) = (c_0))),
% 0.50/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.89 thf(zip_derived_cl62, plain,
% 0.50/0.89 (~ (c_lessequals @ c_0 @
% 0.50/0.89 (c_times @ v_c @ (c_HOL_Oabs @ (v_h @ c_0) @ t_a) @ t_a) @ t_a)),
% 0.50/0.89 inference('demod', [status(thm)],
% 0.50/0.89 [zip_derived_cl3, zip_derived_cl2, zip_derived_cl0,
% 0.50/0.89 zip_derived_cl59, zip_derived_cl2])).
% 0.50/0.89 thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 0.50/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.50/0.89 thf(clsrel_Ring__and__Field_Oordered__idom_40, axiom,
% 0.50/0.89 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.50/0.89 ( class_Ring__and__Field_Opordered__cancel__semiring @ T ))).
% 0.50/0.89 thf(zip_derived_cl9, plain,
% 0.50/0.89 (![X0 : $i]:
% 0.50/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.50/0.89 | (class_Ring__and__Field_Opordered__cancel__semiring @ X0))),
% 0.50/0.89 inference('cnf', [status(esa)],
% 0.50/0.89 [clsrel_Ring__and__Field_Oordered__idom_40])).
% 0.50/0.89 thf(cls_Ring__and__Field_Omult__nonneg__nonneg_0, axiom,
% 0.50/0.89 (( ~( class_Ring__and__Field_Opordered__cancel__semiring @ T_a ) ) |
% 0.50/0.89 ( ~( c_lessequals @ c_0 @ V_b @ T_a ) ) |
% 0.50/0.89 ( ~( c_lessequals @ c_0 @ V_a @ T_a ) ) |
% 0.50/0.89 ( c_lessequals @ c_0 @ ( c_times @ V_a @ V_b @ T_a ) @ T_a ))).
% 0.50/0.89 thf(zip_derived_cl8, plain,
% 0.50/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.89 (~ (class_Ring__and__Field_Opordered__cancel__semiring @ X0)
% 0.50/0.89 | ~ (c_lessequals @ c_0 @ X1 @ X0)
% 0.50/0.89 | ~ (c_lessequals @ c_0 @ X2 @ X0)
% 0.50/0.89 | (c_lessequals @ c_0 @ (c_times @ X2 @ X1 @ X0) @ X0))),
% 0.50/0.89 inference('cnf', [status(esa)],
% 0.50/0.89 [cls_Ring__and__Field_Omult__nonneg__nonneg_0])).
% 0.50/0.89 thf(zip_derived_cl52, plain,
% 0.50/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.50/0.89 | (c_lessequals @ c_0 @ (c_times @ X2 @ X1 @ X0) @ X0)
% 0.50/0.89 | ~ (c_lessequals @ c_0 @ X2 @ X0)
% 0.50/0.89 | ~ (c_lessequals @ c_0 @ X1 @ X0))),
% 0.50/0.89 inference('dp-resolution', [status(thm)],
% 0.50/0.89 [zip_derived_cl9, zip_derived_cl8])).
% 0.50/0.89 thf(zip_derived_cl58, plain,
% 0.50/0.89 (![X0 : $i, X1 : $i]:
% 0.50/0.89 (~ (c_lessequals @ c_0 @ X0 @ t_a)
% 0.50/0.89 | ~ (c_lessequals @ c_0 @ X1 @ t_a)
% 0.50/0.89 | (c_lessequals @ c_0 @ (c_times @ X1 @ X0 @ t_a) @ t_a))),
% 0.50/0.89 inference('dp-resolution', [status(thm)],
% 0.50/0.89 [zip_derived_cl4, zip_derived_cl52])).
% 0.50/0.89 thf(zip_derived_cl64, plain,
% 0.50/0.89 ((~ (c_lessequals @ c_0 @ v_c @ t_a)
% 0.50/0.89 | ~ (c_lessequals @ c_0 @ (c_HOL_Oabs @ (v_h @ c_0) @ t_a) @ t_a))),
% 0.50/0.89 inference('sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl58])).
% 0.50/0.89 thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 0.50/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.50/0.89 thf(clsrel_Ring__and__Field_Oordered__idom_44, axiom,
% 0.50/0.89 (( ~( class_Ring__and__Field_Oordered__idom @ T ) ) |
% 0.50/0.89 ( class_Orderings_Oorder @ T ))).
% 0.50/0.89 thf(zip_derived_cl10, plain,
% 0.50/0.89 (![X0 : $i]:
% 0.50/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.50/0.89 | (class_Orderings_Oorder @ X0))),
% 0.50/0.89 inference('cnf', [status(esa)],
% 0.50/0.89 [clsrel_Ring__and__Field_Oordered__idom_44])).
% 0.50/0.89 thf(cls_conjecture_1, conjecture, (~( c_less @ c_0 @ v_c @ t_a ))).
% 0.50/0.89 thf(zf_stmt_4, negated_conjecture, (c_less @ c_0 @ v_c @ t_a),
% 0.50/0.89 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.50/0.89 thf(zip_derived_cl1, plain, ( (c_less @ c_0 @ v_c @ t_a)),
% 0.50/0.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.50/0.89 thf(cls_Orderings_Oorder__less__imp__le_0, axiom,
% 0.50/0.89 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 0.50/0.89 ( ~( c_less @ V_x @ V_y @ T_a ) ) | ( c_lessequals @ V_x @ V_y @ T_a ))).
% 0.50/0.89 thf(zip_derived_cl7, plain,
% 0.50/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.89 (~ (class_Orderings_Oorder @ X0)
% 0.50/0.89 | ~ (c_less @ X1 @ X2 @ X0)
% 0.50/0.89 | (c_lessequals @ X1 @ X2 @ X0))),
% 0.50/0.89 inference('cnf', [status(esa)], [cls_Orderings_Oorder__less__imp__le_0])).
% 0.50/0.89 thf(zip_derived_cl50, plain,
% 0.50/0.89 (( (c_lessequals @ c_0 @ v_c @ t_a) | ~ (class_Orderings_Oorder @ t_a))),
% 0.50/0.89 inference('dp-resolution', [status(thm)],
% 0.50/0.89 [zip_derived_cl1, zip_derived_cl7])).
% 0.50/0.89 thf(zip_derived_cl51, plain,
% 0.50/0.89 ((~ (class_Ring__and__Field_Oordered__idom @ t_a)
% 0.50/0.89 | (c_lessequals @ c_0 @ v_c @ t_a))),
% 0.50/0.89 inference('dp-resolution', [status(thm)],
% 0.50/0.89 [zip_derived_cl10, zip_derived_cl50])).
% 0.50/0.89 thf(zip_derived_cl57, plain,
% 0.50/0.89 ((((t_a) != (t_a)) | (c_lessequals @ c_0 @ v_c @ t_a))),
% 0.50/0.89 inference('dp-resolution', [status(thm)],
% 0.50/0.89 [zip_derived_cl4, zip_derived_cl51])).
% 0.50/0.89 thf(zip_derived_cl61, plain, ( (c_lessequals @ c_0 @ v_c @ t_a)),
% 0.50/0.89 inference('simplify', [status(thm)], [zip_derived_cl57])).
% 0.50/0.89 thf(zip_derived_cl65, plain,
% 0.50/0.89 (~ (c_lessequals @ c_0 @ (c_HOL_Oabs @ (v_h @ c_0) @ t_a) @ t_a)),
% 0.50/0.89 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl61])).
% 0.50/0.89 thf(zip_derived_cl4, plain, ( (class_Ring__and__Field_Oordered__idom @ t_a)),
% 0.50/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.50/0.89 thf(zip_derived_cl11, plain,
% 0.50/0.89 (![X0 : $i]:
% 0.50/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.50/0.89 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 0.50/0.89 inference('cnf', [status(esa)],
% 0.50/0.89 [clsrel_Ring__and__Field_Oordered__idom_50])).
% 0.50/0.89 thf(cls_OrderedGroup_Oabs__ge__zero_0, axiom,
% 0.50/0.89 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 0.50/0.89 ( c_lessequals @ c_0 @ ( c_HOL_Oabs @ V_a @ T_a ) @ T_a ))).
% 0.50/0.89 thf(zip_derived_cl6, plain,
% 0.50/0.89 (![X0 : $i, X1 : $i]:
% 0.50/0.89 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.50/0.89 | (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 0.50/0.89 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__ge__zero_0])).
% 0.50/0.89 thf(zip_derived_cl54, plain,
% 0.50/0.89 (![X0 : $i, X1 : $i]:
% 0.50/0.89 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 0.50/0.89 | (c_lessequals @ c_0 @ (c_HOL_Oabs @ X1 @ X0) @ X0))),
% 0.50/0.89 inference('dp-resolution', [status(thm)],
% 0.50/0.89 [zip_derived_cl11, zip_derived_cl6])).
% 0.50/0.89 thf(zip_derived_cl60, plain,
% 0.50/0.89 (![X0 : $i]: (c_lessequals @ c_0 @ (c_HOL_Oabs @ X0 @ t_a) @ t_a)),
% 0.50/0.89 inference('dp-resolution', [status(thm)],
% 0.50/0.89 [zip_derived_cl4, zip_derived_cl54])).
% 0.50/0.89 thf(zip_derived_cl68, plain, ($false),
% 0.50/0.89 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl60])).
% 0.50/0.89
% 0.50/0.89 % SZS output end Refutation
% 0.50/0.89
% 0.50/0.89
% 0.50/0.89 % Terminating...
% 0.51/0.98 % Runner terminated.
% 0.51/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------