%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG379-1 : 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.eeNuSlfxNC true
% Computer : n025.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 04:28:41 PM UTC 2025
% Result : Unsatisfiable 11.16s 2.15s
% Output : Refutation 11.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG379-1 : TPTP v9.2.0. Released v4.1.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eeNuSlfxNC true
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 17:01:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.47/0.57 % Total configuration time : 435
% 0.47/0.57 % Estimated wc time : 1092
% 0.47/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 11.16/2.15 % Solved by fo/fo7.sh.
% 11.16/2.15 % done 2349 iterations in 1.410s
% 11.16/2.15 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.16/2.15 % SZS output start Refutation
% 11.16/2.15 thf(class_Ring__and__Field_Oordered__idom_type, type, class_Ring__and__Field_Oordered__idom:
% 11.16/2.15 $i > $o).
% 11.16/2.15 thf(class_OrderedGroup_Ogroup__add_type, type, class_OrderedGroup_Ogroup__add:
% 11.16/2.15 $i > $o).
% 11.16/2.15 thf(tc_RealDef_Oreal_type, type, tc_RealDef_Oreal: $i).
% 11.16/2.15 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i >
% 11.16/2.15 $i > $i).
% 11.16/2.15 thf(class_OrderedGroup_Oab__group__add_type, type, class_OrderedGroup_Oab__group__add:
% 11.16/2.15 $i > $o).
% 11.16/2.15 thf(c_HOL_Oabs__class_Oabs_type, type, c_HOL_Oabs__class_Oabs: $i > $i > $i).
% 11.16/2.15 thf(v_z_____type, type, v_z____: $i).
% 11.16/2.15 thf(v_p_type, type, v_p: $i).
% 11.16/2.15 thf(c_Ring__and__Field_Odvd__class_Odvd_type, type, c_Ring__and__Field_Odvd__class_Odvd:
% 11.16/2.15 $i > $i > $i > $o).
% 11.16/2.15 thf(c_RealVector_Onorm__class_Onorm_type, type, c_RealVector_Onorm__class_Onorm:
% 11.16/2.15 $i > $i > $i).
% 11.16/2.15 thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus:
% 11.16/2.15 $i > $i > $i > $i).
% 11.16/2.15 thf(v_s_____type, type, v_s____: $i).
% 11.16/2.15 thf(c_HOL_Ouminus__class_Ouminus_type, type, c_HOL_Ouminus__class_Ouminus:
% 11.16/2.15 $i > $i > $i).
% 11.16/2.15 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 11.16/2.15 thf(c_Polynomial_Opoly_type, type, c_Polynomial_Opoly: $i > $i > $i > $i).
% 11.16/2.15 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 11.16/2.15 thf(class_Ring__and__Field_Ocomm__semiring__1_type, type, class_Ring__and__Field_Ocomm__semiring__1:
% 11.16/2.15 $i > $o).
% 11.16/2.15 thf(cls_CHAINED_0, axiom,
% 11.16/2.15 (( c_HOL_Oabs__class_Oabs @
% 11.16/2.15 ( c_HOL_Ominus__class_Ominus @
% 11.16/2.15 ( c_RealVector_Onorm__class_Onorm @
% 11.16/2.15 ( c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex ) @
% 11.16/2.15 tc_Complex_Ocomplex ) @
% 11.16/2.15 ( c_HOL_Ouminus__class_Ouminus @ v_s____ @ tc_RealDef_Oreal ) @
% 11.16/2.15 tc_RealDef_Oreal ) @
% 11.16/2.15 tc_RealDef_Oreal ) =
% 11.16/2.15 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ))).
% 11.16/2.15 thf(zip_derived_cl476, plain,
% 11.16/2.15 (((c_HOL_Oabs__class_Oabs @
% 11.16/2.15 (c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_RealVector_Onorm__class_Onorm @
% 11.16/2.15 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 11.16/2.15 tc_Complex_Ocomplex) @
% 11.16/2.15 (c_HOL_Ouminus__class_Ouminus @ v_s____ @ tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal) = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('cnf', [status(esa)], [cls_CHAINED_0])).
% 11.16/2.15 thf(cls_dvd__refl_0, axiom,
% 11.16/2.15 (( ~( class_Ring__and__Field_Ocomm__semiring__1 @ T_a ) ) |
% 11.16/2.15 ( c_Ring__and__Field_Odvd__class_Odvd @ V_a @ V_a @ T_a ))).
% 11.16/2.15 thf(zip_derived_cl121, plain,
% 11.16/2.15 (![X0 : $i, X1 : $i]:
% 11.16/2.15 (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 11.16/2.15 | (c_Ring__and__Field_Odvd__class_Odvd @ X1 @ X1 @ X0))),
% 11.16/2.15 inference('cnf', [status(esa)], [cls_dvd__refl_0])).
% 11.16/2.15 thf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1, axiom,
% 11.16/2.15 (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal)).
% 11.16/2.15 thf(zip_derived_cl479, plain,
% 11.16/2.15 ( (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal)),
% 11.16/2.15 inference('cnf', [status(esa)],
% 11.16/2.15 [clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1])).
% 11.16/2.15 thf(zip_derived_cl931, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 (c_Ring__and__Field_Odvd__class_Odvd @ X0 @ X0 @ tc_RealDef_Oreal)),
% 11.16/2.15 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl479])).
% 11.16/2.15 thf(cls_abs__dvd__iff_0, axiom,
% 11.16/2.15 (( ~( class_Ring__and__Field_Oordered__idom @ T_a ) ) |
% 11.16/2.15 ( c_Ring__and__Field_Odvd__class_Odvd @ V_m @ V_k @ T_a ) |
% 11.16/2.15 ( ~( c_Ring__and__Field_Odvd__class_Odvd @
% 11.16/2.15 ( c_HOL_Oabs__class_Oabs @ V_m @ T_a ) @ V_k @ T_a ) ))).
% 11.16/2.15 thf(zip_derived_cl308, plain,
% 11.16/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.16/2.15 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 11.16/2.15 | (c_Ring__and__Field_Odvd__class_Odvd @ X1 @ X2 @ X0)
% 11.16/2.15 | ~ (c_Ring__and__Field_Odvd__class_Odvd @
% 11.16/2.15 (c_HOL_Oabs__class_Oabs @ X1 @ X0) @ X2 @ X0))),
% 11.16/2.15 inference('cnf', [status(esa)], [cls_abs__dvd__iff_0])).
% 11.16/2.15 thf(zip_derived_cl948, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 ( (c_Ring__and__Field_Odvd__class_Odvd @ X0 @
% 11.16/2.15 (c_HOL_Oabs__class_Oabs @ X0 @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 11.16/2.15 | ~ (class_Ring__and__Field_Oordered__idom @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('sup-', [status(thm)], [zip_derived_cl931, zip_derived_cl308])).
% 11.16/2.15 thf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom, axiom,
% 11.16/2.15 (class_Ring__and__Field_Oordered__idom @ tc_RealDef_Oreal)).
% 11.16/2.15 thf(zip_derived_cl484, plain,
% 11.16/2.15 ( (class_Ring__and__Field_Oordered__idom @ tc_RealDef_Oreal)),
% 11.16/2.15 inference('cnf', [status(esa)],
% 11.16/2.15 [clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom])).
% 11.16/2.15 thf(zip_derived_cl953, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 (c_Ring__and__Field_Odvd__class_Odvd @ X0 @
% 11.16/2.15 (c_HOL_Oabs__class_Oabs @ X0 @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)),
% 11.16/2.15 inference('demod', [status(thm)], [zip_derived_cl948, zip_derived_cl484])).
% 11.16/2.15 thf(cls_dvd__0__left_0, axiom,
% 11.16/2.15 (( ~( class_Ring__and__Field_Ocomm__semiring__1 @ T_a ) ) |
% 11.16/2.15 ( ( V_a ) = ( c_HOL_Ozero__class_Ozero @ T_a ) ) |
% 11.16/2.15 ( ~( c_Ring__and__Field_Odvd__class_Odvd @
% 11.16/2.15 ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_a @ T_a ) ))).
% 11.16/2.15 thf(zip_derived_cl174, plain,
% 11.16/2.15 (![X0 : $i, X1 : $i]:
% 11.16/2.15 (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 11.16/2.15 | ((X1) = (c_HOL_Ozero__class_Ozero @ X0))
% 11.16/2.15 | ~ (c_Ring__and__Field_Odvd__class_Odvd @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ X0) @ X1 @ X0))),
% 11.16/2.15 inference('cnf', [status(esa)], [cls_dvd__0__left_0])).
% 11.16/2.15 thf(zip_derived_cl987, plain,
% 11.16/2.15 ((((c_HOL_Oabs__class_Oabs @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 11.16/2.15 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 11.16/2.15 | ~ (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('sup-', [status(thm)], [zip_derived_cl953, zip_derived_cl174])).
% 11.16/2.15 thf(zip_derived_cl479, plain,
% 11.16/2.15 ( (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal)),
% 11.16/2.15 inference('cnf', [status(esa)],
% 11.16/2.15 [clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1])).
% 11.16/2.15 thf(zip_derived_cl994, plain,
% 11.16/2.15 (((c_HOL_Oabs__class_Oabs @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 11.16/2.15 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('demod', [status(thm)], [zip_derived_cl987, zip_derived_cl479])).
% 11.16/2.15 thf(cls_dvd__if__abs__eq_0, axiom,
% 11.16/2.15 (( ~( class_Ring__and__Field_Oordered__idom @ T_a ) ) |
% 11.16/2.15 ( ( c_HOL_Oabs__class_Oabs @ V_l @ T_a ) !=
% 11.16/2.15 ( c_HOL_Oabs__class_Oabs @ V_k @ T_a ) ) |
% 11.16/2.15 ( c_Ring__and__Field_Odvd__class_Odvd @ V_l @ V_k @ T_a ))).
% 11.16/2.15 thf(zip_derived_cl434, plain,
% 11.16/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.16/2.15 (~ (class_Ring__and__Field_Oordered__idom @ X0)
% 11.16/2.15 | ((c_HOL_Oabs__class_Oabs @ X2 @ X0)
% 11.16/2.15 != (c_HOL_Oabs__class_Oabs @ X1 @ X0))
% 11.16/2.15 | (c_Ring__and__Field_Odvd__class_Odvd @ X2 @ X1 @ X0))),
% 11.16/2.15 inference('cnf', [status(esa)], [cls_dvd__if__abs__eq_0])).
% 11.16/2.15 thf(zip_derived_cl1003, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 11.16/2.15 != (c_HOL_Oabs__class_Oabs @ X0 @ tc_RealDef_Oreal))
% 11.16/2.15 | (c_Ring__and__Field_Odvd__class_Odvd @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0 @
% 11.16/2.15 tc_RealDef_Oreal)
% 11.16/2.15 | ~ (class_Ring__and__Field_Oordered__idom @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('sup-', [status(thm)], [zip_derived_cl994, zip_derived_cl434])).
% 11.16/2.15 thf(zip_derived_cl484, plain,
% 11.16/2.15 ( (class_Ring__and__Field_Oordered__idom @ tc_RealDef_Oreal)),
% 11.16/2.15 inference('cnf', [status(esa)],
% 11.16/2.15 [clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom])).
% 11.16/2.15 thf(zip_derived_cl1019, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 11.16/2.15 != (c_HOL_Oabs__class_Oabs @ X0 @ tc_RealDef_Oreal))
% 11.16/2.15 | (c_Ring__and__Field_Odvd__class_Odvd @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0 @
% 11.16/2.15 tc_RealDef_Oreal))),
% 11.16/2.15 inference('demod', [status(thm)], [zip_derived_cl1003, zip_derived_cl484])).
% 11.16/2.15 thf(zip_derived_cl1104, plain,
% 11.16/2.15 ((((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 11.16/2.15 != (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 11.16/2.15 | (c_Ring__and__Field_Odvd__class_Odvd @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 11.16/2.15 (c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_RealVector_Onorm__class_Onorm @
% 11.16/2.15 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 11.16/2.15 tc_Complex_Ocomplex) @
% 11.16/2.15 (c_HOL_Ouminus__class_Ouminus @ v_s____ @ tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal))),
% 11.16/2.15 inference('sup-', [status(thm)], [zip_derived_cl476, zip_derived_cl1019])).
% 11.16/2.15 thf(zip_derived_cl1107, plain,
% 11.16/2.15 ( (c_Ring__and__Field_Odvd__class_Odvd @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 11.16/2.15 (c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_RealVector_Onorm__class_Onorm @
% 11.16/2.15 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 11.16/2.15 tc_Complex_Ocomplex) @
% 11.16/2.15 (c_HOL_Ouminus__class_Ouminus @ v_s____ @ tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal)),
% 11.16/2.15 inference('simplify', [status(thm)], [zip_derived_cl1104])).
% 11.16/2.15 thf(cls_real__add__eq__0__iff_1, axiom,
% 11.16/2.15 (( c_HOL_Oplus__class_Oplus @
% 11.16/2.15 V_x @ ( c_HOL_Ouminus__class_Ouminus @ V_x @ tc_RealDef_Oreal ) @
% 11.16/2.15 tc_RealDef_Oreal ) =
% 11.16/2.15 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ))).
% 11.16/2.15 thf(zip_derived_cl331, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 ((c_HOL_Oplus__class_Oplus @ X0 @
% 11.16/2.15 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal) = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('cnf', [status(esa)], [cls_real__add__eq__0__iff_1])).
% 11.16/2.15 thf(cls_eq__neg__iff__add__eq__0_1, axiom,
% 11.16/2.15 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 11.16/2.15 ( ( c_HOL_Oplus__class_Oplus @ V_a @ V_b @ T_a ) !=
% 11.16/2.15 ( c_HOL_Ozero__class_Ozero @ T_a ) ) |
% 11.16/2.15 ( ( V_a ) = ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) ))).
% 11.16/2.15 thf(zip_derived_cl285, plain,
% 11.16/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.16/2.15 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 11.16/2.15 | ((c_HOL_Oplus__class_Oplus @ X1 @ X2 @ X0)
% 11.16/2.15 != (c_HOL_Ozero__class_Ozero @ X0))
% 11.16/2.15 | ((X1) = (c_HOL_Ouminus__class_Ouminus @ X2 @ X0)))),
% 11.16/2.15 inference('cnf', [status(esa)], [cls_eq__neg__iff__add__eq__0_1])).
% 11.16/2.15 thf(zip_derived_cl740, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 11.16/2.15 != (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 11.16/2.15 | ((X0)
% 11.16/2.15 = (c_HOL_Ouminus__class_Ouminus @
% 11.16/2.15 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal))
% 11.16/2.15 | ~ (class_OrderedGroup_Ogroup__add @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('sup-', [status(thm)], [zip_derived_cl331, zip_derived_cl285])).
% 11.16/2.15 thf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add, axiom,
% 11.16/2.15 (class_OrderedGroup_Ogroup__add @ tc_RealDef_Oreal)).
% 11.16/2.15 thf(zip_derived_cl487, plain,
% 11.16/2.15 ( (class_OrderedGroup_Ogroup__add @ tc_RealDef_Oreal)),
% 11.16/2.15 inference('cnf', [status(esa)],
% 11.16/2.15 [clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add])).
% 11.16/2.15 thf(zip_derived_cl742, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 11.16/2.15 != (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 11.16/2.15 | ((X0)
% 11.16/2.15 = (c_HOL_Ouminus__class_Ouminus @
% 11.16/2.15 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal)))),
% 11.16/2.15 inference('demod', [status(thm)], [zip_derived_cl740, zip_derived_cl487])).
% 11.16/2.15 thf(zip_derived_cl743, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 ((X0)
% 11.16/2.15 = (c_HOL_Ouminus__class_Ouminus @
% 11.16/2.15 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal))),
% 11.16/2.15 inference('simplify', [status(thm)], [zip_derived_cl742])).
% 11.16/2.15 thf(zip_derived_cl743, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 ((X0)
% 11.16/2.15 = (c_HOL_Ouminus__class_Ouminus @
% 11.16/2.15 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal))),
% 11.16/2.15 inference('simplify', [status(thm)], [zip_derived_cl742])).
% 11.16/2.15 thf(cls_group__add__class_Odiff__0_0, axiom,
% 11.16/2.15 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 11.16/2.15 ( ( c_HOL_Ominus__class_Ominus @
% 11.16/2.15 ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_a @ T_a ) =
% 11.16/2.15 ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) ))).
% 11.16/2.15 thf(zip_derived_cl94, plain,
% 11.16/2.15 (![X0 : $i, X1 : $i]:
% 11.16/2.15 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 11.16/2.15 | ((c_HOL_Ominus__class_Ominus @ (c_HOL_Ozero__class_Ozero @ X0) @
% 11.16/2.15 X1 @ X0) = (c_HOL_Ouminus__class_Ouminus @ X1 @ X0)))),
% 11.16/2.15 inference('cnf', [status(esa)], [cls_group__add__class_Odiff__0_0])).
% 11.16/2.15 thf(zip_derived_cl1135, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 (((c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 11.16/2.15 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal) = (X0))
% 11.16/2.15 | ~ (class_OrderedGroup_Ogroup__add @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('sup+', [status(thm)], [zip_derived_cl743, zip_derived_cl94])).
% 11.16/2.15 thf(zip_derived_cl487, plain,
% 11.16/2.15 ( (class_OrderedGroup_Ogroup__add @ tc_RealDef_Oreal)),
% 11.16/2.15 inference('cnf', [status(esa)],
% 11.16/2.15 [clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add])).
% 11.16/2.15 thf(zip_derived_cl1140, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 ((c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 11.16/2.15 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal) = (X0))),
% 11.16/2.15 inference('demod', [status(thm)], [zip_derived_cl1135, zip_derived_cl487])).
% 11.16/2.15 thf(zip_derived_cl1229, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 ((c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0 @
% 11.16/2.15 tc_RealDef_Oreal)
% 11.16/2.15 = (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('sup+', [status(thm)], [zip_derived_cl743, zip_derived_cl1140])).
% 11.16/2.15 thf(zip_derived_cl5188, plain,
% 11.16/2.15 ( (c_Ring__and__Field_Odvd__class_Odvd @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 11.16/2.15 (c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_RealVector_Onorm__class_Onorm @
% 11.16/2.15 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 11.16/2.15 tc_Complex_Ocomplex) @
% 11.16/2.15 (c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_s____ @
% 11.16/2.15 tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal)),
% 11.16/2.15 inference('demod', [status(thm)],
% 11.16/2.15 [zip_derived_cl1107, zip_derived_cl1229])).
% 11.16/2.15 thf(zip_derived_cl174, plain,
% 11.16/2.15 (![X0 : $i, X1 : $i]:
% 11.16/2.15 (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 11.16/2.15 | ((X1) = (c_HOL_Ozero__class_Ozero @ X0))
% 11.16/2.15 | ~ (c_Ring__and__Field_Odvd__class_Odvd @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ X0) @ X1 @ X0))),
% 11.16/2.15 inference('cnf', [status(esa)], [cls_dvd__0__left_0])).
% 11.16/2.15 thf(zip_derived_cl5194, plain,
% 11.16/2.15 ((((c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_RealVector_Onorm__class_Onorm @
% 11.16/2.15 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 11.16/2.15 tc_Complex_Ocomplex) @
% 11.16/2.15 (c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_s____ @
% 11.16/2.15 tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal) = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 11.16/2.15 | ~ (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('sup-', [status(thm)], [zip_derived_cl5188, zip_derived_cl174])).
% 11.16/2.15 thf(zip_derived_cl479, plain,
% 11.16/2.15 ( (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal)),
% 11.16/2.15 inference('cnf', [status(esa)],
% 11.16/2.15 [clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1])).
% 11.16/2.15 thf(zip_derived_cl5204, plain,
% 11.16/2.15 (((c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_RealVector_Onorm__class_Onorm @
% 11.16/2.15 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 11.16/2.15 tc_Complex_Ocomplex) @
% 11.16/2.15 (c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_s____ @
% 11.16/2.15 tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal) = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('demod', [status(thm)], [zip_derived_cl5194, zip_derived_cl479])).
% 11.16/2.15 thf(cls_eq__eqI_0, axiom,
% 11.16/2.15 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 11.16/2.15 ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_x @ T_a ) !=
% 11.16/2.15 ( c_HOL_Ominus__class_Ominus @ V_x_H @ V_y_H @ T_a ) ) |
% 11.16/2.15 ( ( V_x_H ) = ( V_y_H ) ))).
% 11.16/2.15 thf(zip_derived_cl251, plain,
% 11.16/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 11.16/2.15 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 11.16/2.15 | ((c_HOL_Ominus__class_Ominus @ X3 @ X3 @ X0)
% 11.16/2.15 != (c_HOL_Ominus__class_Ominus @ X1 @ X2 @ X0))
% 11.16/2.15 | ((X1) = (X2)))),
% 11.16/2.15 inference('cnf', [status(esa)], [cls_eq__eqI_0])).
% 11.16/2.15 thf(zip_derived_cl6921, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 (((c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_RealDef_Oreal)
% 11.16/2.15 != (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 11.16/2.15 | ((c_RealVector_Onorm__class_Onorm @
% 11.16/2.15 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 11.16/2.15 tc_Complex_Ocomplex)
% 11.16/2.15 = (c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_s____ @
% 11.16/2.15 tc_RealDef_Oreal))
% 11.16/2.15 | ~ (class_OrderedGroup_Oab__group__add @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('sup-', [status(thm)], [zip_derived_cl5204, zip_derived_cl251])).
% 11.16/2.15 thf(zip_derived_cl1140, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 ((c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 11.16/2.15 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal) = (X0))),
% 11.16/2.15 inference('demod', [status(thm)], [zip_derived_cl1135, zip_derived_cl487])).
% 11.16/2.15 thf(zip_derived_cl251, plain,
% 11.16/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 11.16/2.15 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 11.16/2.15 | ((c_HOL_Ominus__class_Ominus @ X3 @ X3 @ X0)
% 11.16/2.15 != (c_HOL_Ominus__class_Ominus @ X1 @ X2 @ X0))
% 11.16/2.15 | ((X1) = (X2)))),
% 11.16/2.15 inference('cnf', [status(esa)], [cls_eq__eqI_0])).
% 11.16/2.15 thf(zip_derived_cl1217, plain,
% 11.16/2.15 (![X0 : $i, X1 : $i]:
% 11.16/2.15 (((c_HOL_Ominus__class_Ominus @ X1 @ X1 @ tc_RealDef_Oreal) != (X0))
% 11.16/2.15 | ((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 11.16/2.15 = (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal))
% 11.16/2.15 | ~ (class_OrderedGroup_Oab__group__add @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('sup-', [status(thm)], [zip_derived_cl1140, zip_derived_cl251])).
% 11.16/2.15 thf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add, axiom,
% 11.16/2.15 (class_OrderedGroup_Oab__group__add @ tc_RealDef_Oreal)).
% 11.16/2.15 thf(zip_derived_cl485, plain,
% 11.16/2.15 ( (class_OrderedGroup_Oab__group__add @ tc_RealDef_Oreal)),
% 11.16/2.15 inference('cnf', [status(esa)],
% 11.16/2.15 [clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add])).
% 11.16/2.15 thf(zip_derived_cl1232, plain,
% 11.16/2.15 (![X0 : $i, X1 : $i]:
% 11.16/2.15 (((c_HOL_Ominus__class_Ominus @ X1 @ X1 @ tc_RealDef_Oreal) != (X0))
% 11.16/2.15 | ((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 11.16/2.15 = (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal)))),
% 11.16/2.15 inference('demod', [status(thm)], [zip_derived_cl1217, zip_derived_cl485])).
% 11.16/2.15 thf(zip_derived_cl1332, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 ((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 11.16/2.15 = (c_HOL_Ouminus__class_Ouminus @
% 11.16/2.15 (c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_RealDef_Oreal) @
% 11.16/2.15 tc_RealDef_Oreal))),
% 11.16/2.15 inference('eq_res', [status(thm)], [zip_derived_cl1232])).
% 11.16/2.15 thf(cls_neg__equal__0__iff__equal_0, axiom,
% 11.16/2.15 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 11.16/2.15 ( ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) !=
% 11.16/2.15 ( c_HOL_Ozero__class_Ozero @ T_a ) ) |
% 11.16/2.15 ( ( V_a ) = ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 11.16/2.15 thf(zip_derived_cl459, plain,
% 11.16/2.15 (![X0 : $i, X1 : $i]:
% 11.16/2.15 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 11.16/2.15 | ((c_HOL_Ouminus__class_Ouminus @ X1 @ X0)
% 11.16/2.15 != (c_HOL_Ozero__class_Ozero @ X0))
% 11.16/2.15 | ((X1) = (c_HOL_Ozero__class_Ozero @ X0)))),
% 11.16/2.15 inference('cnf', [status(esa)], [cls_neg__equal__0__iff__equal_0])).
% 11.16/2.15 thf(zip_derived_cl1354, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 11.16/2.15 != (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 11.16/2.15 | ((c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_RealDef_Oreal)
% 11.16/2.15 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 11.16/2.15 | ~ (class_OrderedGroup_Ogroup__add @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('sup-', [status(thm)], [zip_derived_cl1332, zip_derived_cl459])).
% 11.16/2.15 thf(zip_derived_cl487, plain,
% 11.16/2.15 ( (class_OrderedGroup_Ogroup__add @ tc_RealDef_Oreal)),
% 11.16/2.15 inference('cnf', [status(esa)],
% 11.16/2.15 [clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add])).
% 11.16/2.15 thf(zip_derived_cl1361, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 11.16/2.15 != (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 11.16/2.15 | ((c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_RealDef_Oreal)
% 11.16/2.15 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 11.16/2.15 inference('demod', [status(thm)], [zip_derived_cl1354, zip_derived_cl487])).
% 11.16/2.15 thf(zip_derived_cl1362, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 ((c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_RealDef_Oreal)
% 11.16/2.15 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('simplify', [status(thm)], [zip_derived_cl1361])).
% 11.16/2.15 thf(zip_derived_cl485, plain,
% 11.16/2.15 ( (class_OrderedGroup_Oab__group__add @ tc_RealDef_Oreal)),
% 11.16/2.15 inference('cnf', [status(esa)],
% 11.16/2.15 [clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add])).
% 11.16/2.15 thf(zip_derived_cl6935, plain,
% 11.16/2.15 ((((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 11.16/2.15 != (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 11.16/2.15 | ((c_RealVector_Onorm__class_Onorm @
% 11.16/2.15 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 11.16/2.15 tc_Complex_Ocomplex)
% 11.16/2.15 = (c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_s____ @
% 11.16/2.15 tc_RealDef_Oreal)))),
% 11.16/2.15 inference('demod', [status(thm)],
% 11.16/2.15 [zip_derived_cl6921, zip_derived_cl1362, zip_derived_cl485])).
% 11.16/2.15 thf(zip_derived_cl6936, plain,
% 11.16/2.15 (((c_RealVector_Onorm__class_Onorm @
% 11.16/2.15 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 11.16/2.15 tc_Complex_Ocomplex)
% 11.16/2.15 = (c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_s____ @
% 11.16/2.15 tc_RealDef_Oreal))),
% 11.16/2.15 inference('simplify', [status(thm)], [zip_derived_cl6935])).
% 11.16/2.15 thf(cls_conjecture_0, conjecture,
% 11.16/2.15 (( c_RealVector_Onorm__class_Onorm @
% 11.16/2.15 ( c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex ) @
% 11.16/2.15 tc_Complex_Ocomplex ) =
% 11.16/2.15 ( c_HOL_Ouminus__class_Ouminus @ v_s____ @ tc_RealDef_Oreal ))).
% 11.16/2.15 thf(zf_stmt_0, negated_conjecture,
% 11.16/2.15 (( c_RealVector_Onorm__class_Onorm @
% 11.16/2.15 ( c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex ) @
% 11.16/2.15 tc_Complex_Ocomplex ) !=
% 11.16/2.15 ( c_HOL_Ouminus__class_Ouminus @ v_s____ @ tc_RealDef_Oreal )),
% 11.16/2.15 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 11.16/2.15 thf(zip_derived_cl514, plain,
% 11.16/2.15 (((c_RealVector_Onorm__class_Onorm @
% 11.16/2.15 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 11.16/2.15 tc_Complex_Ocomplex)
% 11.16/2.15 != (c_HOL_Ouminus__class_Ouminus @ v_s____ @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.16/2.15 thf(zip_derived_cl1229, plain,
% 11.16/2.15 (![X0 : $i]:
% 11.16/2.15 ((c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0 @
% 11.16/2.15 tc_RealDef_Oreal)
% 11.16/2.15 = (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal))),
% 11.16/2.15 inference('sup+', [status(thm)], [zip_derived_cl743, zip_derived_cl1140])).
% 11.16/2.15 thf(zip_derived_cl1241, plain,
% 11.16/2.15 (((c_RealVector_Onorm__class_Onorm @
% 11.16/2.15 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 11.16/2.15 tc_Complex_Ocomplex)
% 11.16/2.15 != (c_HOL_Ominus__class_Ominus @
% 11.16/2.15 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_s____ @
% 11.16/2.15 tc_RealDef_Oreal))),
% 11.16/2.15 inference('demod', [status(thm)], [zip_derived_cl514, zip_derived_cl1229])).
% 11.16/2.15 thf(zip_derived_cl6937, plain, ($false),
% 11.16/2.15 inference('simplify_reflect-', [status(thm)],
% 11.16/2.15 [zip_derived_cl6936, zip_derived_cl1241])).
% 11.16/2.15
% 11.16/2.15 % SZS output end Refutation
% 11.16/2.15
% 11.16/2.15
% 11.25/2.15 % Terminating...
% 11.69/2.24 % Runner terminated.
% 11.69/2.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------