%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG363-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.olPSCwme39 true
% Computer : n022.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 04:28:40 PM UTC 2025
% Result : Unsatisfiable 5.15s 1.48s
% Output : Refutation 5.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : ALG363-1 : TPTP v9.2.0. Released v4.1.0.
% 0.03/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.olPSCwme39 true
% 0.11/0.34 % Computer : n022.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Wed Oct 1 17:04:38 EDT 2025
% 0.11/0.35 % CPUTime :
% 0.11/0.35 % Running portfolio for 300 s
% 0.11/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Number of cores: 8
% 0.11/0.35 % Python version: Python 3.6.8
% 0.11/0.35 % Running in FO mode
% 0.50/0.55 % Total configuration time : 435
% 0.50/0.55 % Estimated wc time : 1092
% 0.50/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.91/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.91/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.91/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.91/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.91/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.91/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.91/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.15/1.48 % Solved by fo/fo3_bce.sh.
% 5.15/1.48 % BCE start: 264
% 5.15/1.48 % BCE eliminated: 4
% 5.15/1.48 % PE start: 260
% 5.15/1.48 logic: eq
% 5.15/1.48 % PE eliminated: -50
% 5.15/1.48 % done 396 iterations in 0.778s
% 5.15/1.48 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.15/1.48 % SZS output start Refutation
% 5.15/1.48 thf(tc_RealDef_Oreal_type, type, tc_RealDef_Oreal: $i).
% 5.15/1.48 thf(v_x_type, type, v_x: $i).
% 5.15/1.48 thf(class_OrderedGroup_Opordered__ab__group__add__abs_type, type, class_OrderedGroup_Opordered__ab__group__add__abs:
% 5.15/1.48 $i > $o).
% 5.15/1.48 thf(v_r_type, type, v_r: $i).
% 5.15/1.48 thf(v_f_____type, type, v_f____: $i > $i).
% 5.15/1.48 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 5.15/1.48 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 5.15/1.48 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 5.15/1.48 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i >
% 5.15/1.48 $i > $i).
% 5.15/1.48 thf(c_HOL_Oabs__class_Oabs_type, type, c_HOL_Oabs__class_Oabs: $i > $i > $i).
% 5.15/1.48 thf(class_Ring__and__Field_Ocomm__semiring__1_type, type, class_Ring__and__Field_Ocomm__semiring__1:
% 5.15/1.48 $i > $o).
% 5.15/1.48 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 5.15/1.48 thf(v_s_type, type, v_s: $i > $i).
% 5.15/1.48 thf(c_Complex_ORe_type, type, c_Complex_ORe: $i > $i).
% 5.15/1.48 thf(cls_conjecture_0, conjecture,
% 5.15/1.48 (~( ( ~( c_HOL_Oord__class_Oless @
% 5.15/1.48 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @
% 5.15/1.48 ( c_HOL_Oplus__class_Oplus @
% 5.15/1.48 v_r @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @
% 5.15/1.48 tc_RealDef_Oreal ) @
% 5.15/1.48 tc_RealDef_Oreal ) ) |
% 5.15/1.48 ( ~( c_lessequals @
% 5.15/1.48 ( c_HOL_Oabs__class_Oabs @
% 5.15/1.48 ( c_Complex_ORe @ ( v_s @ ( v_f____ @ v_x ) ) ) @
% 5.15/1.48 tc_RealDef_Oreal ) @
% 5.15/1.48 ( c_HOL_Oplus__class_Oplus @
% 5.15/1.48 v_r @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @
% 5.15/1.48 tc_RealDef_Oreal ) @
% 5.15/1.48 tc_RealDef_Oreal ) ) ))).
% 5.15/1.48 thf(zf_stmt_0, negated_conjecture,
% 5.15/1.48 (( ~( c_HOL_Oord__class_Oless @
% 5.15/1.48 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @
% 5.15/1.48 ( c_HOL_Oplus__class_Oplus @
% 5.15/1.48 v_r @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @
% 5.15/1.48 tc_RealDef_Oreal ) @
% 5.15/1.48 tc_RealDef_Oreal ) ) |
% 5.15/1.48 ( ~( c_lessequals @
% 5.15/1.48 ( c_HOL_Oabs__class_Oabs @
% 5.15/1.48 ( c_Complex_ORe @ ( v_s @ ( v_f____ @ v_x ) ) ) @ tc_RealDef_Oreal ) @
% 5.15/1.48 ( c_HOL_Oplus__class_Oplus @
% 5.15/1.48 v_r @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @
% 5.15/1.48 tc_RealDef_Oreal ) @
% 5.15/1.48 tc_RealDef_Oreal ) )),
% 5.15/1.48 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 5.15/1.48 thf(zip_derived_cl263, plain,
% 5.15/1.48 ((~ (c_HOL_Oord__class_Oless @
% 5.15/1.48 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 5.15/1.48 (c_HOL_Oplus__class_Oplus @ v_r @
% 5.15/1.48 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 5.15/1.48 tc_RealDef_Oreal)
% 5.15/1.48 | ~ (c_lessequals @
% 5.15/1.48 (c_HOL_Oabs__class_Oabs @
% 5.15/1.48 (c_Complex_ORe @ (v_s @ (v_f____ @ v_x))) @ tc_RealDef_Oreal) @
% 5.15/1.48 (c_HOL_Oplus__class_Oplus @ v_r @
% 5.15/1.48 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 5.15/1.48 tc_RealDef_Oreal))),
% 5.15/1.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.15/1.48 thf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs, axiom,
% 5.15/1.48 (class_OrderedGroup_Opordered__ab__group__add__abs @ tc_RealDef_Oreal)).
% 5.15/1.48 thf(zip_derived_cl249, plain,
% 5.15/1.48 ( (class_OrderedGroup_Opordered__ab__group__add__abs @ tc_RealDef_Oreal)),
% 5.15/1.48 inference('cnf', [status(esa)],
% 5.15/1.48 [clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs])).
% 5.15/1.48 thf(cls_abs__of__nonneg_0, axiom,
% 5.15/1.48 (( ~( class_OrderedGroup_Opordered__ab__group__add__abs @ T_a ) ) |
% 5.15/1.48 ( ( c_HOL_Oabs__class_Oabs @ V_a @ T_a ) = ( V_a ) ) |
% 5.15/1.48 ( ~( c_lessequals @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_a @ T_a ) ))).
% 5.15/1.48 thf(zip_derived_cl228, plain,
% 5.15/1.48 (![X0 : $i, X1 : $i]:
% 5.15/1.48 (~ (class_OrderedGroup_Opordered__ab__group__add__abs @ X0)
% 5.15/1.48 | ((c_HOL_Oabs__class_Oabs @ X1 @ X0) = (X1))
% 5.15/1.48 | ~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ X0) @ X1 @ X0))),
% 5.15/1.48 inference('cnf', [status(esa)], [cls_abs__of__nonneg_0])).
% 5.15/1.48 thf(zip_derived_cl1258, plain,
% 5.15/1.48 (![X0 : $i]:
% 5.15/1.48 (~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 5.15/1.48 X0 @ tc_RealDef_Oreal)
% 5.15/1.48 | ((c_HOL_Oabs__class_Oabs @ X0 @ tc_RealDef_Oreal) = (X0)))),
% 5.15/1.48 inference('dp-resolution', [status(thm)],
% 5.15/1.48 [zip_derived_cl249, zip_derived_cl228])).
% 5.15/1.48 thf(cls_rp_0, axiom,
% 5.15/1.48 (c_lessequals @
% 5.15/1.48 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_r @ tc_RealDef_Oreal)).
% 5.15/1.48 thf(zip_derived_cl225, plain,
% 5.15/1.48 ( (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_r @
% 5.15/1.48 tc_RealDef_Oreal)),
% 5.15/1.48 inference('cnf', [status(esa)], [cls_rp_0])).
% 5.15/1.48 thf(zip_derived_cl1638, plain,
% 5.15/1.48 (((c_HOL_Oabs__class_Oabs @ v_r @ tc_RealDef_Oreal) = (v_r))),
% 5.15/1.48 inference('sup+', [status(thm)], [zip_derived_cl1258, zip_derived_cl225])).
% 5.15/1.48 thf(cls_abs__add__one__gt__zero_0, axiom,
% 5.15/1.48 (c_HOL_Oord__class_Oless @
% 5.15/1.48 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @
% 5.15/1.48 ( c_HOL_Oplus__class_Oplus @
% 5.15/1.48 ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @
% 5.15/1.48 ( c_HOL_Oabs__class_Oabs @ V_x @ tc_RealDef_Oreal ) @ tc_RealDef_Oreal ) @
% 5.15/1.48 tc_RealDef_Oreal)).
% 5.15/1.48 thf(zip_derived_cl201, plain,
% 5.15/1.48 (![X0 : $i]:
% 5.15/1.48 (c_HOL_Oord__class_Oless @
% 5.15/1.48 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 5.15/1.48 (c_HOL_Oplus__class_Oplus @
% 5.15/1.48 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @
% 5.15/1.48 (c_HOL_Oabs__class_Oabs @ X0 @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 5.15/1.48 tc_RealDef_Oreal)),
% 5.15/1.48 inference('cnf', [status(esa)], [cls_abs__add__one__gt__zero_0])).
% 5.15/1.48 thf(zip_derived_cl3415, plain,
% 5.15/1.48 ( (c_HOL_Oord__class_Oless @
% 5.15/1.48 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 5.15/1.48 (c_HOL_Oplus__class_Oplus @
% 5.15/1.48 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ v_r @ tc_RealDef_Oreal) @
% 5.15/1.48 tc_RealDef_Oreal)),
% 5.15/1.48 inference('sup+', [status(thm)], [zip_derived_cl1638, zip_derived_cl201])).
% 5.15/1.48 thf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1, axiom,
% 5.15/1.48 (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal)).
% 5.15/1.48 thf(zip_derived_cl251, plain,
% 5.15/1.48 ( (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal)),
% 5.15/1.48 inference('cnf', [status(esa)],
% 5.15/1.48 [clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1])).
% 5.15/1.48 thf(cls_class__semiring_Osemiring__rules_I24_J_0, axiom,
% 5.15/1.48 (( ~( class_Ring__and__Field_Ocomm__semiring__1 @ T_a ) ) |
% 5.15/1.48 ( ( c_HOL_Oplus__class_Oplus @ V_a @ V_c @ T_a ) =
% 5.15/1.48 ( c_HOL_Oplus__class_Oplus @ V_c @ V_a @ T_a ) ))).
% 5.15/1.48 thf(zip_derived_cl204, plain,
% 5.15/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.15/1.48 (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 5.15/1.48 | ((c_HOL_Oplus__class_Oplus @ X2 @ X1 @ X0)
% 5.15/1.48 = (c_HOL_Oplus__class_Oplus @ X1 @ X2 @ X0)))),
% 5.15/1.48 inference('cnf', [status(esa)],
% 5.15/1.48 [cls_class__semiring_Osemiring__rules_I24_J_0])).
% 5.15/1.48 thf(zip_derived_cl1389, plain,
% 5.15/1.48 (![X0 : $i, X1 : $i]:
% 5.15/1.48 ((c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_RealDef_Oreal)
% 5.15/1.48 = (c_HOL_Oplus__class_Oplus @ X0 @ X1 @ tc_RealDef_Oreal))),
% 5.15/1.48 inference('dp-resolution', [status(thm)],
% 5.15/1.48 [zip_derived_cl251, zip_derived_cl204])).
% 5.15/1.48 thf(zip_derived_cl3418, plain,
% 5.15/1.48 ( (c_HOL_Oord__class_Oless @
% 5.15/1.48 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 5.15/1.48 (c_HOL_Oplus__class_Oplus @ v_r @
% 5.15/1.48 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 5.15/1.48 tc_RealDef_Oreal)),
% 5.15/1.48 inference('demod', [status(thm)],
% 5.15/1.48 [zip_derived_cl3415, zip_derived_cl1389])).
% 5.15/1.48 thf(zip_derived_cl3420, plain,
% 5.15/1.48 (~ (c_lessequals @
% 5.15/1.48 (c_HOL_Oabs__class_Oabs @
% 5.15/1.48 (c_Complex_ORe @ (v_s @ (v_f____ @ v_x))) @ tc_RealDef_Oreal) @
% 5.15/1.48 (c_HOL_Oplus__class_Oplus @ v_r @
% 5.15/1.48 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 5.15/1.48 tc_RealDef_Oreal)),
% 5.15/1.48 inference('demod', [status(thm)], [zip_derived_cl263, zip_derived_cl3418])).
% 5.15/1.48 thf(cls_th_0, axiom,
% 5.15/1.48 (c_lessequals @
% 5.15/1.48 ( c_HOL_Oabs__class_Oabs @
% 5.15/1.48 ( c_Complex_ORe @ ( v_s @ V_n ) ) @ tc_RealDef_Oreal ) @
% 5.15/1.48 ( c_HOL_Oplus__class_Oplus @
% 5.15/1.48 v_r @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ tc_RealDef_Oreal ) @
% 5.15/1.48 tc_RealDef_Oreal)).
% 5.15/1.48 thf(zip_derived_cl226, plain,
% 5.15/1.48 (![X0 : $i]:
% 5.15/1.48 (c_lessequals @
% 5.15/1.48 (c_HOL_Oabs__class_Oabs @ (c_Complex_ORe @ (v_s @ X0)) @
% 5.15/1.48 tc_RealDef_Oreal) @
% 5.15/1.48 (c_HOL_Oplus__class_Oplus @ v_r @
% 5.15/1.48 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 5.15/1.48 tc_RealDef_Oreal)),
% 5.15/1.48 inference('cnf', [status(esa)], [cls_th_0])).
% 5.15/1.48 thf(zip_derived_cl4132, plain, ($false),
% 5.15/1.48 inference('demod', [status(thm)], [zip_derived_cl3420, zip_derived_cl226])).
% 5.15/1.48
% 5.15/1.48 % SZS output end Refutation
% 5.15/1.48
% 5.15/1.48
% 5.15/1.48 % Terminating...
% 5.59/1.65 % Runner terminated.
% 5.59/1.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------