TSTP Solution File: ALG432-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG432-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6nKBGXecXY true
% Computer : n007.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 : Wed Aug 30 17:13:09 EDT 2023
% Result : Unsatisfiable 11.83s 2.32s
% Output : Refutation 11.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG432-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6nKBGXecXY true
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 02:53:27 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.48/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.48/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 11.83/2.32 % Solved by fo/fo3_bce.sh.
% 11.83/2.32 % BCE start: 412
% 11.83/2.32 % BCE eliminated: 90
% 11.83/2.32 % PE start: 322
% 11.83/2.32 logic: eq
% 11.83/2.32 % PE eliminated: -34
% 11.83/2.32 % done 1083 iterations in 1.568s
% 11.83/2.32 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.83/2.32 % SZS output start Refutation
% 11.83/2.32 thf(v_p_type, type, v_p: $i).
% 11.83/2.32 thf(class_OrderedGroup_Oab__group__add_type, type, class_OrderedGroup_Oab__group__add:
% 11.83/2.32 $i > $o).
% 11.83/2.32 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 11.83/2.32 thf(class_OrderedGroup_Ogroup__add_type, type, class_OrderedGroup_Ogroup__add:
% 11.83/2.32 $i > $o).
% 11.83/2.32 thf(class_RealVector_Oreal__normed__algebra_type, type, class_RealVector_Oreal__normed__algebra:
% 11.83/2.32 $i > $o).
% 11.83/2.32 thf(c_HOL_Ouminus__class_Ouminus_type, type, c_HOL_Ouminus__class_Ouminus:
% 11.83/2.32 $i > $i > $i).
% 11.83/2.32 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 11.83/2.32 thf(class_Ring__and__Field_Ocomm__semiring__1_type, type, class_Ring__and__Field_Ocomm__semiring__1:
% 11.83/2.32 $i > $o).
% 11.83/2.32 thf(c_Polynomial_OpCons_type, type, c_Polynomial_OpCons: $i > $i > $i > $i).
% 11.83/2.32 thf(class_Ring__and__Field_Ocomm__semiring__0_type, type, class_Ring__and__Field_Ocomm__semiring__0:
% 11.83/2.32 $i > $o).
% 11.83/2.32 thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes:
% 11.83/2.32 $i > $i > $i > $i).
% 11.83/2.32 thf(c_Polynomial_Opoly_type, type, c_Polynomial_Opoly: $i > $i > $i > $i).
% 11.83/2.32 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i >
% 11.83/2.32 $i > $i).
% 11.83/2.32 thf(v_x_type, type, v_x: $i).
% 11.83/2.32 thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus:
% 11.83/2.32 $i > $i > $i > $i).
% 11.83/2.32 thf(cls_poly__pCons_0, axiom,
% 11.83/2.32 (( ~( class_Ring__and__Field_Ocomm__semiring__0 @ T_a ) ) |
% 11.83/2.32 ( ( c_Polynomial_Opoly @
% 11.83/2.32 ( c_Polynomial_OpCons @ V_a @ V_p @ T_a ) @ V_x @ T_a ) =
% 11.83/2.32 ( c_HOL_Oplus__class_Oplus @
% 11.83/2.32 V_a @
% 11.83/2.32 ( c_HOL_Otimes__class_Otimes @
% 11.83/2.32 V_x @ ( c_Polynomial_Opoly @ V_p @ V_x @ T_a ) @ T_a ) @
% 11.83/2.32 T_a ) ))).
% 11.83/2.32 thf(zip_derived_cl355, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 11.83/2.32 (~ (class_Ring__and__Field_Ocomm__semiring__0 @ X0)
% 11.83/2.32 | ((c_Polynomial_Opoly @ (c_Polynomial_OpCons @ X1 @ X3 @ X0) @ X2 @
% 11.83/2.32 X0)
% 11.83/2.32 = (c_HOL_Oplus__class_Oplus @ X1 @
% 11.83/2.32 (c_HOL_Otimes__class_Otimes @ X2 @
% 11.83/2.32 (c_Polynomial_Opoly @ X3 @ X2 @ X0) @ X0) @
% 11.83/2.32 X0)))),
% 11.83/2.32 inference('cnf', [status(esa)], [cls_poly__pCons_0])).
% 11.83/2.32 thf(cls_conjecture_1, conjecture,
% 11.83/2.32 (( c_Polynomial_Opoly @
% 11.83/2.32 ( c_Polynomial_OpCons @
% 11.83/2.32 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) @ v_p @
% 11.83/2.32 tc_Complex_Ocomplex ) @
% 11.83/2.32 v_x @ tc_Complex_Ocomplex ) =
% 11.83/2.32 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ))).
% 11.83/2.32 thf(zf_stmt_0, negated_conjecture,
% 11.83/2.32 (( c_Polynomial_Opoly @
% 11.83/2.32 ( c_Polynomial_OpCons @
% 11.83/2.32 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) @ v_p @
% 11.83/2.32 tc_Complex_Ocomplex ) @
% 11.83/2.32 v_x @ tc_Complex_Ocomplex ) !=
% 11.83/2.32 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex )),
% 11.83/2.32 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 11.83/2.32 thf(zip_derived_cl410, plain,
% 11.83/2.32 (((c_Polynomial_Opoly @
% 11.83/2.32 (c_Polynomial_OpCons @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ v_p @
% 11.83/2.32 tc_Complex_Ocomplex) @
% 11.83/2.32 v_x @ tc_Complex_Ocomplex)
% 11.83/2.32 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.83/2.32 thf(zip_derived_cl15468, plain,
% 11.83/2.32 ((((c_HOL_Oplus__class_Oplus @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 (c_HOL_Otimes__class_Otimes @ v_x @
% 11.83/2.32 (c_Polynomial_Opoly @ v_p @ v_x @ tc_Complex_Ocomplex) @
% 11.83/2.32 tc_Complex_Ocomplex) @
% 11.83/2.32 tc_Complex_Ocomplex)
% 11.83/2.32 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 11.83/2.32 | ~ (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('sup-', [status(thm)], [zip_derived_cl355, zip_derived_cl410])).
% 11.83/2.32 thf(cls_conjecture_0, conjecture,
% 11.83/2.32 (( c_Polynomial_Opoly @ v_p @ v_x @ tc_Complex_Ocomplex ) !=
% 11.83/2.32 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ))).
% 11.83/2.32 thf(zf_stmt_1, negated_conjecture,
% 11.83/2.32 (( c_Polynomial_Opoly @ v_p @ v_x @ tc_Complex_Ocomplex ) =
% 11.83/2.32 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex )),
% 11.83/2.32 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 11.83/2.32 thf(zip_derived_cl411, plain,
% 11.83/2.32 (((c_Polynomial_Opoly @ v_p @ v_x @ tc_Complex_Ocomplex)
% 11.83/2.32 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('cnf', [status(esa)], [zf_stmt_1])).
% 11.83/2.32 thf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra, axiom,
% 11.83/2.32 (class_RealVector_Oreal__normed__algebra @ tc_Complex_Ocomplex)).
% 11.83/2.32 thf(zip_derived_cl389, plain,
% 11.83/2.32 ( (class_RealVector_Oreal__normed__algebra @ tc_Complex_Ocomplex)),
% 11.83/2.32 inference('cnf', [status(esa)],
% 11.83/2.32 [clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra])).
% 11.83/2.32 thf(cls_mult__right_Ozero_0, axiom,
% 11.83/2.32 (( ~( class_RealVector_Oreal__normed__algebra @ T_a ) ) |
% 11.83/2.32 ( ( c_HOL_Otimes__class_Otimes @
% 11.83/2.32 V_x @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) =
% 11.83/2.32 ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 11.83/2.32 thf(zip_derived_cl312, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i]:
% 11.83/2.32 (~ (class_RealVector_Oreal__normed__algebra @ X0)
% 11.83/2.32 | ((c_HOL_Otimes__class_Otimes @ X1 @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ X0) @ X0)
% 11.83/2.32 = (c_HOL_Ozero__class_Ozero @ X0)))),
% 11.83/2.32 inference('cnf', [status(esa)], [cls_mult__right_Ozero_0])).
% 11.83/2.32 thf(zip_derived_cl1384, plain,
% 11.83/2.32 (![X0 : $i]:
% 11.83/2.32 ((c_HOL_Otimes__class_Otimes @ X0 @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 tc_Complex_Ocomplex)
% 11.83/2.32 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('dp-resolution', [status(thm)],
% 11.83/2.32 [zip_derived_cl389, zip_derived_cl312])).
% 11.83/2.32 thf(cls_add__diff__cancel_0, axiom,
% 11.83/2.32 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 11.83/2.32 ( ( c_HOL_Ominus__class_Ominus @
% 11.83/2.32 ( c_HOL_Oplus__class_Oplus @ V_a @ V_b @ T_a ) @ V_b @ T_a ) =
% 11.83/2.32 ( V_a ) ))).
% 11.83/2.32 thf(zip_derived_cl261, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.83/2.32 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 11.83/2.32 | ((c_HOL_Ominus__class_Ominus @
% 11.83/2.32 (c_HOL_Oplus__class_Oplus @ X1 @ X2 @ X0) @ X2 @ X0) = (X1)))),
% 11.83/2.32 inference('cnf', [status(esa)], [cls_add__diff__cancel_0])).
% 11.83/2.32 thf(zip_derived_cl1384, plain,
% 11.83/2.32 (![X0 : $i]:
% 11.83/2.32 ((c_HOL_Otimes__class_Otimes @ X0 @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 tc_Complex_Ocomplex)
% 11.83/2.32 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('dp-resolution', [status(thm)],
% 11.83/2.32 [zip_derived_cl389, zip_derived_cl312])).
% 11.83/2.32 thf(cls_class__semiring_Osemiring__rules_I8_J_0, axiom,
% 11.83/2.32 (( ~( class_Ring__and__Field_Ocomm__semiring__1 @ T_a ) ) |
% 11.83/2.32 ( ( c_HOL_Otimes__class_Otimes @
% 11.83/2.32 ( c_HOL_Oplus__class_Oplus @ V_a @ V_b @ T_a ) @ V_c @ T_a ) =
% 11.83/2.32 ( c_HOL_Oplus__class_Oplus @
% 11.83/2.32 ( c_HOL_Otimes__class_Otimes @ V_a @ V_c @ T_a ) @
% 11.83/2.32 ( c_HOL_Otimes__class_Otimes @ V_b @ V_c @ T_a ) @ T_a ) ))).
% 11.83/2.32 thf(zip_derived_cl10, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 11.83/2.32 (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 11.83/2.32 | ((c_HOL_Otimes__class_Otimes @
% 11.83/2.32 (c_HOL_Oplus__class_Oplus @ X1 @ X3 @ X0) @ X2 @ X0)
% 11.83/2.32 = (c_HOL_Oplus__class_Oplus @
% 11.83/2.32 (c_HOL_Otimes__class_Otimes @ X1 @ X2 @ X0) @
% 11.83/2.32 (c_HOL_Otimes__class_Otimes @ X3 @ X2 @ X0) @ X0)))),
% 11.83/2.32 inference('cnf', [status(esa)],
% 11.83/2.32 [cls_class__semiring_Osemiring__rules_I8_J_0])).
% 11.83/2.32 thf(zip_derived_cl2008, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i]:
% 11.83/2.32 (((c_HOL_Otimes__class_Otimes @
% 11.83/2.32 (c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_Complex_Ocomplex) @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 tc_Complex_Ocomplex)
% 11.83/2.32 = (c_HOL_Oplus__class_Oplus @
% 11.83/2.32 (c_HOL_Otimes__class_Otimes @ X1 @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 tc_Complex_Ocomplex) @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 tc_Complex_Ocomplex))
% 11.83/2.32 | ~ (class_Ring__and__Field_Ocomm__semiring__1 @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('sup+', [status(thm)], [zip_derived_cl1384, zip_derived_cl10])).
% 11.83/2.32 thf(zip_derived_cl1384, plain,
% 11.83/2.32 (![X0 : $i]:
% 11.83/2.32 ((c_HOL_Otimes__class_Otimes @ X0 @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 tc_Complex_Ocomplex)
% 11.83/2.32 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('dp-resolution', [status(thm)],
% 11.83/2.32 [zip_derived_cl389, zip_derived_cl312])).
% 11.83/2.32 thf(zip_derived_cl1384, plain,
% 11.83/2.32 (![X0 : $i]:
% 11.83/2.32 ((c_HOL_Otimes__class_Otimes @ X0 @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 tc_Complex_Ocomplex)
% 11.83/2.32 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('dp-resolution', [status(thm)],
% 11.83/2.32 [zip_derived_cl389, zip_derived_cl312])).
% 11.83/2.32 thf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1, axiom,
% 11.83/2.32 (class_Ring__and__Field_Ocomm__semiring__1 @ tc_Complex_Ocomplex)).
% 11.83/2.32 thf(zip_derived_cl387, plain,
% 11.83/2.32 ( (class_Ring__and__Field_Ocomm__semiring__1 @ tc_Complex_Ocomplex)),
% 11.83/2.32 inference('cnf', [status(esa)],
% 11.83/2.32 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1])).
% 11.83/2.32 thf(zip_derived_cl2024, plain,
% 11.83/2.32 (((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 11.83/2.32 = (c_HOL_Oplus__class_Oplus @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 tc_Complex_Ocomplex))),
% 11.83/2.32 inference('demod', [status(thm)],
% 11.83/2.32 [zip_derived_cl2008, zip_derived_cl1384, zip_derived_cl1384,
% 11.83/2.32 zip_derived_cl387])).
% 11.83/2.32 thf(cls_diff__minus__eq__add_0, axiom,
% 11.83/2.32 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 11.83/2.32 ( ( c_HOL_Ominus__class_Ominus @
% 11.83/2.32 V_a @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a ) =
% 11.83/2.32 ( c_HOL_Oplus__class_Oplus @ V_a @ V_b @ T_a ) ))).
% 11.83/2.32 thf(zip_derived_cl254, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.83/2.32 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 11.83/2.32 | ((c_HOL_Ominus__class_Ominus @ X1 @
% 11.83/2.32 (c_HOL_Ouminus__class_Ouminus @ X2 @ X0) @ X0)
% 11.83/2.32 = (c_HOL_Oplus__class_Oplus @ X1 @ X2 @ X0)))),
% 11.83/2.32 inference('cnf', [status(esa)], [cls_diff__minus__eq__add_0])).
% 11.83/2.32 thf(zip_derived_cl3563, plain,
% 11.83/2.32 ((((c_HOL_Ominus__class_Ominus @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 (c_HOL_Ouminus__class_Ouminus @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 tc_Complex_Ocomplex) @
% 11.83/2.32 tc_Complex_Ocomplex)
% 11.83/2.32 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 11.83/2.32 | ~ (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('sup+', [status(thm)], [zip_derived_cl2024, zip_derived_cl254])).
% 11.83/2.32 thf(zip_derived_cl2024, plain,
% 11.83/2.32 (((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 11.83/2.32 = (c_HOL_Oplus__class_Oplus @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 tc_Complex_Ocomplex))),
% 11.83/2.32 inference('demod', [status(thm)],
% 11.83/2.32 [zip_derived_cl2008, zip_derived_cl1384, zip_derived_cl1384,
% 11.83/2.32 zip_derived_cl387])).
% 11.83/2.32 thf(cls_minus__unique_0, axiom,
% 11.83/2.32 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 11.83/2.32 ( ( c_HOL_Oplus__class_Oplus @ V_a @ V_b @ T_a ) !=
% 11.83/2.32 ( c_HOL_Ozero__class_Ozero @ T_a ) ) |
% 11.83/2.32 ( ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) = ( V_b ) ))).
% 11.83/2.32 thf(zip_derived_cl207, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.83/2.32 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 11.83/2.32 | ((c_HOL_Oplus__class_Oplus @ X1 @ X2 @ X0)
% 11.83/2.32 != (c_HOL_Ozero__class_Ozero @ X0))
% 11.83/2.32 | ((c_HOL_Ouminus__class_Ouminus @ X1 @ X0) = (X2)))),
% 11.83/2.32 inference('cnf', [status(esa)], [cls_minus__unique_0])).
% 11.83/2.32 thf(zip_derived_cl2522, plain,
% 11.83/2.32 ((((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 11.83/2.32 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 11.83/2.32 | ((c_HOL_Ouminus__class_Ouminus @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 tc_Complex_Ocomplex)
% 11.83/2.32 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 11.83/2.32 | ~ (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('sup-', [status(thm)], [zip_derived_cl2024, zip_derived_cl207])).
% 11.83/2.32 thf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add, axiom,
% 11.83/2.32 (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)).
% 11.83/2.32 thf(zip_derived_cl393, plain,
% 11.83/2.32 ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 11.83/2.32 inference('cnf', [status(esa)],
% 11.83/2.32 [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 11.83/2.32 thf(zip_derived_cl2524, plain,
% 11.83/2.32 ((((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 11.83/2.32 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 11.83/2.32 | ((c_HOL_Ouminus__class_Ouminus @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 tc_Complex_Ocomplex)
% 11.83/2.32 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)))),
% 11.83/2.32 inference('demod', [status(thm)], [zip_derived_cl2522, zip_derived_cl393])).
% 11.83/2.32 thf(zip_derived_cl2525, plain,
% 11.83/2.32 (((c_HOL_Ouminus__class_Ouminus @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ tc_Complex_Ocomplex)
% 11.83/2.32 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('simplify', [status(thm)], [zip_derived_cl2524])).
% 11.83/2.32 thf(zip_derived_cl393, plain,
% 11.83/2.32 ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 11.83/2.32 inference('cnf', [status(esa)],
% 11.83/2.32 [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 11.83/2.32 thf(zip_derived_cl3565, plain,
% 11.83/2.32 (((c_HOL_Ominus__class_Ominus @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ tc_Complex_Ocomplex)
% 11.83/2.32 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('demod', [status(thm)],
% 11.83/2.32 [zip_derived_cl3563, zip_derived_cl2525, zip_derived_cl393])).
% 11.83/2.32 thf(cls_eq__eqI_0, axiom,
% 11.83/2.32 (( ~( class_OrderedGroup_Oab__group__add @ T_a ) ) |
% 11.83/2.32 ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_x @ T_a ) !=
% 11.83/2.32 ( c_HOL_Ominus__class_Ominus @ V_x_H @ V_y_H @ T_a ) ) |
% 11.83/2.32 ( ( V_x_H ) = ( V_y_H ) ))).
% 11.83/2.32 thf(zip_derived_cl172, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 11.83/2.32 (~ (class_OrderedGroup_Oab__group__add @ X0)
% 11.83/2.32 | ((c_HOL_Ominus__class_Ominus @ X3 @ X3 @ X0)
% 11.83/2.32 != (c_HOL_Ominus__class_Ominus @ X1 @ X2 @ X0))
% 11.83/2.32 | ((X1) = (X2)))),
% 11.83/2.32 inference('cnf', [status(esa)], [cls_eq__eqI_0])).
% 11.83/2.32 thf(zip_derived_cl3592, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i]:
% 11.83/2.32 (((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 11.83/2.32 != (c_HOL_Ominus__class_Ominus @ X1 @ X0 @ tc_Complex_Ocomplex))
% 11.83/2.32 | ((X1) = (X0))
% 11.83/2.32 | ~ (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('sup-', [status(thm)], [zip_derived_cl3565, zip_derived_cl172])).
% 11.83/2.32 thf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add, axiom,
% 11.83/2.32 (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)).
% 11.83/2.32 thf(zip_derived_cl392, plain,
% 11.83/2.32 ( (class_OrderedGroup_Oab__group__add @ tc_Complex_Ocomplex)),
% 11.83/2.32 inference('cnf', [status(esa)],
% 11.83/2.32 [clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add])).
% 11.83/2.32 thf(zip_derived_cl3599, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i]:
% 11.83/2.32 (((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 11.83/2.32 != (c_HOL_Ominus__class_Ominus @ X1 @ X0 @ tc_Complex_Ocomplex))
% 11.83/2.32 | ((X1) = (X0)))),
% 11.83/2.32 inference('demod', [status(thm)], [zip_derived_cl3592, zip_derived_cl392])).
% 11.83/2.32 thf(zip_derived_cl3987, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i]:
% 11.83/2.32 (((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) != (X0))
% 11.83/2.32 | ~ (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)
% 11.83/2.32 | ((c_HOL_Oplus__class_Oplus @ X0 @ X1 @ tc_Complex_Ocomplex) = (X1)))),
% 11.83/2.32 inference('sup-', [status(thm)], [zip_derived_cl261, zip_derived_cl3599])).
% 11.83/2.32 thf(zip_derived_cl393, plain,
% 11.83/2.32 ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 11.83/2.32 inference('cnf', [status(esa)],
% 11.83/2.32 [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 11.83/2.32 thf(zip_derived_cl4015, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i]:
% 11.83/2.32 (((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) != (X0))
% 11.83/2.32 | ((c_HOL_Oplus__class_Oplus @ X0 @ X1 @ tc_Complex_Ocomplex) = (X1)))),
% 11.83/2.32 inference('demod', [status(thm)], [zip_derived_cl3987, zip_derived_cl393])).
% 11.83/2.32 thf(zip_derived_cl261, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.83/2.32 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 11.83/2.32 | ((c_HOL_Ominus__class_Ominus @
% 11.83/2.32 (c_HOL_Oplus__class_Oplus @ X1 @ X2 @ X0) @ X2 @ X0) = (X1)))),
% 11.83/2.32 inference('cnf', [status(esa)], [cls_add__diff__cancel_0])).
% 11.83/2.32 thf(zip_derived_cl6570, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i]:
% 11.83/2.32 (((c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_Complex_Ocomplex) = (X1))
% 11.83/2.32 | ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) != (X1))
% 11.83/2.32 | ~ (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('sup+', [status(thm)], [zip_derived_cl4015, zip_derived_cl261])).
% 11.83/2.32 thf(zip_derived_cl393, plain,
% 11.83/2.32 ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 11.83/2.32 inference('cnf', [status(esa)],
% 11.83/2.32 [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 11.83/2.32 thf(zip_derived_cl6611, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i]:
% 11.83/2.32 (((c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_Complex_Ocomplex) = (X1))
% 11.83/2.32 | ((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) != (X1)))),
% 11.83/2.32 inference('demod', [status(thm)], [zip_derived_cl6570, zip_derived_cl393])).
% 11.83/2.32 thf(zip_derived_cl6855, plain,
% 11.83/2.32 (![X0 : $i]:
% 11.83/2.32 ((c_HOL_Ominus__class_Ominus @ X0 @ X0 @ tc_Complex_Ocomplex)
% 11.83/2.32 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('eq_res', [status(thm)], [zip_derived_cl6611])).
% 11.83/2.32 thf(cls_diff__add__cancel_0, axiom,
% 11.83/2.32 (( ~( class_OrderedGroup_Ogroup__add @ T_a ) ) |
% 11.83/2.32 ( ( c_HOL_Oplus__class_Oplus @
% 11.83/2.32 ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) @ V_b @ T_a ) =
% 11.83/2.32 ( V_a ) ))).
% 11.83/2.32 thf(zip_derived_cl152, plain,
% 11.83/2.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.83/2.32 (~ (class_OrderedGroup_Ogroup__add @ X0)
% 11.83/2.32 | ((c_HOL_Oplus__class_Oplus @
% 11.83/2.32 (c_HOL_Ominus__class_Ominus @ X1 @ X2 @ X0) @ X2 @ X0) = (
% 11.83/2.32 X1)))),
% 11.83/2.32 inference('cnf', [status(esa)], [cls_diff__add__cancel_0])).
% 11.83/2.32 thf(zip_derived_cl7012, plain,
% 11.83/2.32 (![X0 : $i]:
% 11.83/2.32 (((c_HOL_Oplus__class_Oplus @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ X0 @
% 11.83/2.32 tc_Complex_Ocomplex) = (X0))
% 11.83/2.32 | ~ (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('sup+', [status(thm)], [zip_derived_cl6855, zip_derived_cl152])).
% 11.83/2.32 thf(zip_derived_cl393, plain,
% 11.83/2.32 ( (class_OrderedGroup_Ogroup__add @ tc_Complex_Ocomplex)),
% 11.83/2.32 inference('cnf', [status(esa)],
% 11.83/2.32 [clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add])).
% 11.83/2.32 thf(zip_derived_cl7022, plain,
% 11.83/2.32 (![X0 : $i]:
% 11.83/2.32 ((c_HOL_Oplus__class_Oplus @
% 11.83/2.32 (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex) @ X0 @
% 11.83/2.32 tc_Complex_Ocomplex) = (X0))),
% 11.83/2.32 inference('demod', [status(thm)], [zip_derived_cl7012, zip_derived_cl393])).
% 11.83/2.32 thf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0, axiom,
% 11.83/2.32 (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)).
% 11.83/2.32 thf(zip_derived_cl388, plain,
% 11.83/2.32 ( (class_Ring__and__Field_Ocomm__semiring__0 @ tc_Complex_Ocomplex)),
% 11.83/2.32 inference('cnf', [status(esa)],
% 11.83/2.32 [clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0])).
% 11.83/2.32 thf(zip_derived_cl15475, plain,
% 11.83/2.32 (((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 11.83/2.32 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 11.83/2.32 inference('demod', [status(thm)],
% 11.83/2.32 [zip_derived_cl15468, zip_derived_cl411, zip_derived_cl1384,
% 11.83/2.32 zip_derived_cl7022, zip_derived_cl388])).
% 11.83/2.32 thf(zip_derived_cl15476, plain, ($false),
% 11.83/2.32 inference('simplify', [status(thm)], [zip_derived_cl15475])).
% 11.83/2.32
% 11.83/2.32 % SZS output end Refutation
% 11.83/2.32
% 11.83/2.32
% 11.83/2.32 % Terminating...
% 12.24/2.36 % Runner terminated.
% 12.24/2.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------