%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG376-1 : 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.ISjqIvK0GB true
% Computer : n003.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 39.35s 6.19s
% Output : Refutation 39.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG376-1 : TPTP v9.2.0. Released v4.1.0.
% 0.12/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ISjqIvK0GB true
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 17:03:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 39.35/6.19 % Solved by fo/fo4.sh.
% 39.35/6.19 % done 1011 iterations in 5.430s
% 39.35/6.19 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 39.35/6.19 % SZS output start Refutation
% 39.35/6.19 thf(v_z_____type, type, v_z____: $i).
% 39.35/6.19 thf(c_Int_OBit1_type, type, c_Int_OBit1: $i > $i).
% 39.35/6.19 thf(tc_RealDef_Oreal_type, type, tc_RealDef_Oreal: $i).
% 39.35/6.19 thf(c_HOL_Oabs__class_Oabs_type, type, c_HOL_Oabs__class_Oabs: $i > $i > $i).
% 39.35/6.19 thf(c_HOL_Ouminus__class_Ouminus_type, type, c_HOL_Ouminus__class_Ouminus:
% 39.35/6.19 $i > $i > $i).
% 39.35/6.19 thf(v_g_____type, type, v_g____: $i > $i).
% 39.35/6.19 thf(v_d_____type, type, v_d____: $i).
% 39.35/6.19 thf(v_N2_____type, type, v_N2____: $i).
% 39.35/6.19 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 39.35/6.19 thf(c_Int_Onumber__class_Onumber__of_type, type, c_Int_Onumber__class_Onumber__of:
% 39.35/6.19 $i > $i > $i).
% 39.35/6.19 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 39.35/6.19 thf(c_HOL_Oinverse__class_Odivide_type, type, c_HOL_Oinverse__class_Odivide:
% 39.35/6.19 $i > $i > $i > $i).
% 39.35/6.19 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 39.35/6.19 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i >
% 39.35/6.19 $i > $i).
% 39.35/6.19 thf(v_f_____type, type, v_f____: $i > $i).
% 39.35/6.19 thf(c_RealVector_Onorm__class_Onorm_type, type, c_RealVector_Onorm__class_Onorm:
% 39.35/6.19 $i > $i > $i).
% 39.35/6.19 thf(v_p_type, type, v_p: $i).
% 39.35/6.19 thf(c_Int_OPls_type, type, c_Int_OPls: $i).
% 39.35/6.19 thf(c_Int_OBit0_type, type, c_Int_OBit0: $i > $i).
% 39.35/6.19 thf(tc_nat_type, type, tc_nat: $i).
% 39.35/6.19 thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus:
% 39.35/6.19 $i > $i > $i > $i).
% 39.35/6.19 thf(v_s_____type, type, v_s____: $i).
% 39.35/6.19 thf(v_N1_____type, type, v_N1____: $i).
% 39.35/6.19 thf(c_Polynomial_Opoly_type, type, c_Polynomial_Opoly: $i > $i > $i > $i).
% 39.35/6.19 thf(cls_th1_0, axiom,
% 39.35/6.19 (( c_HOL_Oord__class_Oless @
% 39.35/6.19 ( c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 ( c_HOL_Ominus__class_Ominus @
% 39.35/6.19 ( c_Polynomial_Opoly @ v_p @ V_wa @ tc_Complex_Ocomplex ) @
% 39.35/6.19 ( c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex ) @
% 39.35/6.19 tc_Complex_Ocomplex ) @
% 39.35/6.19 tc_Complex_Ocomplex ) @
% 39.35/6.19 ( c_HOL_Oinverse__class_Odivide @
% 39.35/6.19 ( c_HOL_Oabs__class_Oabs @
% 39.35/6.19 ( c_HOL_Ominus__class_Ominus @
% 39.35/6.19 ( c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 ( c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex ) @
% 39.35/6.19 tc_Complex_Ocomplex ) @
% 39.35/6.19 ( c_HOL_Ouminus__class_Ouminus @ v_s____ @ tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal ) @
% 39.35/6.19 ( c_Int_Onumber__class_Onumber__of @
% 39.35/6.19 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal ) |
% 39.35/6.19 ( ~( c_HOL_Oord__class_Oless @
% 39.35/6.19 ( c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 ( c_HOL_Ominus__class_Ominus @ V_wa @ v_z____ @ tc_Complex_Ocomplex ) @
% 39.35/6.19 tc_Complex_Ocomplex ) @
% 39.35/6.19 v_d____ @ tc_RealDef_Oreal ) ))).
% 39.35/6.19 thf(zip_derived_cl233, plain,
% 39.35/6.19 (![X0 : $i]:
% 39.35/6.19 ( (c_HOL_Oord__class_Oless @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @
% 39.35/6.19 (c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex) @
% 39.35/6.19 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 (c_HOL_Oinverse__class_Odivide @
% 39.35/6.19 (c_HOL_Oabs__class_Oabs @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 (c_HOL_Ouminus__class_Ouminus @ v_s____ @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 (c_Int_Onumber__class_Onumber__of @
% 39.35/6.19 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal)
% 39.35/6.19 | ~ (c_HOL_Oord__class_Oless @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @ X0 @ v_z____ @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 v_d____ @ tc_RealDef_Oreal))),
% 39.35/6.19 inference('cnf', [status(esa)], [cls_th1_0])).
% 39.35/6.19 thf(cls_abs__minus__add__cancel_0, axiom,
% 39.35/6.19 (( c_HOL_Oabs__class_Oabs @
% 39.35/6.19 ( c_HOL_Oplus__class_Oplus @
% 39.35/6.19 V_x @ ( c_HOL_Ouminus__class_Ouminus @ V_y @ tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal ) =
% 39.35/6.19 ( c_HOL_Oabs__class_Oabs @
% 39.35/6.19 ( c_HOL_Oplus__class_Oplus @
% 39.35/6.19 V_y @ ( c_HOL_Ouminus__class_Ouminus @ V_x @ tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal ))).
% 39.35/6.19 thf(zip_derived_cl160, plain,
% 39.35/6.19 (![X0 : $i, X1 : $i]:
% 39.35/6.19 ((c_HOL_Oabs__class_Oabs @
% 39.35/6.19 (c_HOL_Oplus__class_Oplus @ X1 @
% 39.35/6.19 (c_HOL_Ouminus__class_Ouminus @ X0 @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal)
% 39.35/6.19 = (c_HOL_Oabs__class_Oabs @
% 39.35/6.19 (c_HOL_Oplus__class_Oplus @ X0 @
% 39.35/6.19 (c_HOL_Ouminus__class_Ouminus @ X1 @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal))),
% 39.35/6.19 inference('cnf', [status(esa)], [cls_abs__minus__add__cancel_0])).
% 39.35/6.19 thf(cls_real__diff__def_0, axiom,
% 39.35/6.19 (( c_HOL_Ominus__class_Ominus @ V_r @ V_s @ tc_RealDef_Oreal ) =
% 39.35/6.19 ( c_HOL_Oplus__class_Oplus @
% 39.35/6.19 V_r @ ( c_HOL_Ouminus__class_Ouminus @ V_s @ tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal ))).
% 39.35/6.19 thf(zip_derived_cl158, plain,
% 39.35/6.19 (![X0 : $i, X1 : $i]:
% 39.35/6.19 ((c_HOL_Ominus__class_Ominus @ X0 @ X1 @ tc_RealDef_Oreal)
% 39.35/6.19 = (c_HOL_Oplus__class_Oplus @ X0 @
% 39.35/6.19 (c_HOL_Ouminus__class_Ouminus @ X1 @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal))),
% 39.35/6.19 inference('cnf', [status(esa)], [cls_real__diff__def_0])).
% 39.35/6.19 thf(zip_derived_cl158, plain,
% 39.35/6.19 (![X0 : $i, X1 : $i]:
% 39.35/6.19 ((c_HOL_Ominus__class_Ominus @ X0 @ X1 @ tc_RealDef_Oreal)
% 39.35/6.19 = (c_HOL_Oplus__class_Oplus @ X0 @
% 39.35/6.19 (c_HOL_Ouminus__class_Ouminus @ X1 @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal))),
% 39.35/6.19 inference('cnf', [status(esa)], [cls_real__diff__def_0])).
% 39.35/6.19 thf(zip_derived_cl20348, plain,
% 39.35/6.19 (![X0 : $i, X1 : $i]:
% 39.35/6.19 ((c_HOL_Oabs__class_Oabs @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @ X1 @ X0 @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal)
% 39.35/6.19 = (c_HOL_Oabs__class_Oabs @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @ X0 @ X1 @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal))),
% 39.35/6.19 inference('demod', [status(thm)],
% 39.35/6.19 [zip_derived_cl160, zip_derived_cl158, zip_derived_cl158])).
% 39.35/6.19 thf(zip_derived_cl27927, plain,
% 39.35/6.19 (![X0 : $i]:
% 39.35/6.19 ( (c_HOL_Oord__class_Oless @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @
% 39.35/6.19 (c_Polynomial_Opoly @ v_p @ X0 @ tc_Complex_Ocomplex) @
% 39.35/6.19 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 (c_HOL_Oinverse__class_Odivide @
% 39.35/6.19 (c_HOL_Oabs__class_Oabs @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @
% 39.35/6.19 (c_HOL_Ouminus__class_Ouminus @ v_s____ @ tc_RealDef_Oreal) @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 (c_Int_Onumber__class_Onumber__of @
% 39.35/6.19 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal)
% 39.35/6.19 | ~ (c_HOL_Oord__class_Oless @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @ X0 @ v_z____ @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 v_d____ @ tc_RealDef_Oreal))),
% 39.35/6.19 inference('demod', [status(thm)],
% 39.35/6.19 [zip_derived_cl233, zip_derived_cl20348])).
% 39.35/6.19 thf(cls_conjecture_0, conjecture,
% 39.35/6.19 (c_HOL_Oord__class_Oless @
% 39.35/6.19 ( c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 ( c_HOL_Ominus__class_Ominus @
% 39.35/6.19 ( c_Polynomial_Opoly @
% 39.35/6.19 v_p @
% 39.35/6.19 ( v_g____ @
% 39.35/6.19 ( v_f____ @
% 39.35/6.19 ( c_HOL_Oplus__class_Oplus @ v_N1____ @ v_N2____ @ tc_nat ) ) ) @
% 39.35/6.19 tc_Complex_Ocomplex ) @
% 39.35/6.19 ( c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex ) @
% 39.35/6.19 tc_Complex_Ocomplex ) @
% 39.35/6.19 tc_Complex_Ocomplex ) @
% 39.35/6.19 ( c_HOL_Oinverse__class_Odivide @
% 39.35/6.19 ( c_HOL_Oabs__class_Oabs @
% 39.35/6.19 ( c_HOL_Ominus__class_Ominus @
% 39.35/6.19 ( c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 ( c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex ) @
% 39.35/6.19 tc_Complex_Ocomplex ) @
% 39.35/6.19 ( c_HOL_Ouminus__class_Ouminus @ v_s____ @ tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal ) @
% 39.35/6.19 ( c_Int_Onumber__class_Onumber__of @
% 39.35/6.19 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal)).
% 39.35/6.19 thf(zf_stmt_0, negated_conjecture,
% 39.35/6.19 (~( c_HOL_Oord__class_Oless @
% 39.35/6.19 ( c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 ( c_HOL_Ominus__class_Ominus @
% 39.35/6.19 ( c_Polynomial_Opoly @
% 39.35/6.19 v_p @
% 39.35/6.19 ( v_g____ @
% 39.35/6.19 ( v_f____ @
% 39.35/6.19 ( c_HOL_Oplus__class_Oplus @ v_N1____ @ v_N2____ @ tc_nat ) ) ) @
% 39.35/6.19 tc_Complex_Ocomplex ) @
% 39.35/6.19 ( c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex ) @
% 39.35/6.19 tc_Complex_Ocomplex ) @
% 39.35/6.19 tc_Complex_Ocomplex ) @
% 39.35/6.19 ( c_HOL_Oinverse__class_Odivide @
% 39.35/6.19 ( c_HOL_Oabs__class_Oabs @
% 39.35/6.19 ( c_HOL_Ominus__class_Ominus @
% 39.35/6.19 ( c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 ( c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex ) @
% 39.35/6.19 tc_Complex_Ocomplex ) @
% 39.35/6.19 ( c_HOL_Ouminus__class_Ouminus @ v_s____ @ tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal ) @
% 39.35/6.19 ( c_Int_Onumber__class_Onumber__of @
% 39.35/6.19 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal ) @
% 39.35/6.19 tc_RealDef_Oreal )),
% 39.35/6.19 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 39.35/6.19 thf(zip_derived_cl273, plain,
% 39.35/6.19 (~ (c_HOL_Oord__class_Oless @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @
% 39.35/6.19 (c_Polynomial_Opoly @ v_p @
% 39.35/6.19 (v_g____ @
% 39.35/6.19 (v_f____ @
% 39.35/6.19 (c_HOL_Oplus__class_Oplus @ v_N1____ @ v_N2____ @ tc_nat))) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 (c_HOL_Oinverse__class_Odivide @
% 39.35/6.19 (c_HOL_Oabs__class_Oabs @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 (c_HOL_Ouminus__class_Ouminus @ v_s____ @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 (c_Int_Onumber__class_Onumber__of @
% 39.35/6.19 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal)),
% 39.35/6.19 inference('cnf', [status(esa)], [zf_stmt_0])).
% 39.35/6.19 thf(cls_nat__add__commute_0, axiom,
% 39.35/6.19 (( c_HOL_Oplus__class_Oplus @ V_m @ V_n @ tc_nat ) =
% 39.35/6.19 ( c_HOL_Oplus__class_Oplus @ V_n @ V_m @ tc_nat ))).
% 39.35/6.19 thf(zip_derived_cl238, plain,
% 39.35/6.19 (![X0 : $i, X1 : $i]:
% 39.35/6.19 ((c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_nat)
% 39.35/6.19 = (c_HOL_Oplus__class_Oplus @ X0 @ X1 @ tc_nat))),
% 39.35/6.19 inference('cnf', [status(esa)], [cls_nat__add__commute_0])).
% 39.35/6.19 thf(zip_derived_cl1119, plain,
% 39.35/6.19 (~ (c_HOL_Oord__class_Oless @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @
% 39.35/6.19 (c_Polynomial_Opoly @ v_p @
% 39.35/6.19 (v_g____ @
% 39.35/6.19 (v_f____ @
% 39.35/6.19 (c_HOL_Oplus__class_Oplus @ v_N2____ @ v_N1____ @ tc_nat))) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 (c_HOL_Oinverse__class_Odivide @
% 39.35/6.19 (c_HOL_Oabs__class_Oabs @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 (c_HOL_Ouminus__class_Ouminus @ v_s____ @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 (c_Int_Onumber__class_Onumber__of @
% 39.35/6.19 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal)),
% 39.35/6.19 inference('demod', [status(thm)], [zip_derived_cl273, zip_derived_cl238])).
% 39.35/6.19 thf(zip_derived_cl20348, plain,
% 39.35/6.19 (![X0 : $i, X1 : $i]:
% 39.35/6.19 ((c_HOL_Oabs__class_Oabs @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @ X1 @ X0 @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal)
% 39.35/6.19 = (c_HOL_Oabs__class_Oabs @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @ X0 @ X1 @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal))),
% 39.35/6.19 inference('demod', [status(thm)],
% 39.35/6.19 [zip_derived_cl160, zip_derived_cl158, zip_derived_cl158])).
% 39.35/6.19 thf(zip_derived_cl20353, plain,
% 39.35/6.19 (~ (c_HOL_Oord__class_Oless @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @
% 39.35/6.19 (c_Polynomial_Opoly @ v_p @
% 39.35/6.19 (v_g____ @
% 39.35/6.19 (v_f____ @
% 39.35/6.19 (c_HOL_Oplus__class_Oplus @ v_N2____ @ v_N1____ @ tc_nat))) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 (c_HOL_Oinverse__class_Odivide @
% 39.35/6.19 (c_HOL_Oabs__class_Oabs @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @
% 39.35/6.19 (c_HOL_Ouminus__class_Ouminus @ v_s____ @ tc_RealDef_Oreal) @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_Polynomial_Opoly @ v_p @ v_z____ @ tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 (c_Int_Onumber__class_Onumber__of @
% 39.35/6.19 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal) @
% 39.35/6.19 tc_RealDef_Oreal)),
% 39.35/6.19 inference('demod', [status(thm)],
% 39.35/6.19 [zip_derived_cl1119, zip_derived_cl20348])).
% 39.35/6.19 thf(zip_derived_cl27932, plain,
% 39.35/6.19 (~ (c_HOL_Oord__class_Oless @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @
% 39.35/6.19 (v_g____ @
% 39.35/6.19 (v_f____ @
% 39.35/6.19 (c_HOL_Oplus__class_Oplus @ v_N2____ @ v_N1____ @ tc_nat))) @
% 39.35/6.19 v_z____ @ tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 v_d____ @ tc_RealDef_Oreal)),
% 39.35/6.19 inference('sup-', [status(thm)],
% 39.35/6.19 [zip_derived_cl27927, zip_derived_cl20353])).
% 39.35/6.19 thf(cls_CHAINED_0_01, axiom,
% 39.35/6.19 (( c_HOL_Oord__class_Oless @
% 39.35/6.19 ( c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 ( c_HOL_Ominus__class_Ominus @
% 39.35/6.19 ( v_g____ @
% 39.35/6.19 ( v_f____ @
% 39.35/6.19 ( c_HOL_Oplus__class_Oplus @ v_N1____ @ v_N2____ @ tc_nat ) ) ) @
% 39.35/6.19 v_z____ @ tc_Complex_Ocomplex ) @
% 39.35/6.19 tc_Complex_Ocomplex ) @
% 39.35/6.19 v_d____ @ tc_RealDef_Oreal ) |
% 39.35/6.19 ( ~( c_lessequals @
% 39.35/6.19 v_N1____ @
% 39.35/6.19 ( c_HOL_Oplus__class_Oplus @ v_N1____ @ v_N2____ @ tc_nat ) @ tc_nat ) ))).
% 39.35/6.19 thf(zip_derived_cl263, plain,
% 39.35/6.19 (( (c_HOL_Oord__class_Oless @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @
% 39.35/6.19 (v_g____ @
% 39.35/6.19 (v_f____ @
% 39.35/6.19 (c_HOL_Oplus__class_Oplus @ v_N1____ @ v_N2____ @ tc_nat))) @
% 39.35/6.19 v_z____ @ tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 v_d____ @ tc_RealDef_Oreal)
% 39.35/6.19 | ~ (c_lessequals @ v_N1____ @
% 39.35/6.19 (c_HOL_Oplus__class_Oplus @ v_N1____ @ v_N2____ @ tc_nat) @ tc_nat))),
% 39.35/6.19 inference('cnf', [status(esa)], [cls_CHAINED_0_01])).
% 39.35/6.19 thf(zip_derived_cl238, plain,
% 39.35/6.19 (![X0 : $i, X1 : $i]:
% 39.35/6.19 ((c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_nat)
% 39.35/6.19 = (c_HOL_Oplus__class_Oplus @ X0 @ X1 @ tc_nat))),
% 39.35/6.19 inference('cnf', [status(esa)], [cls_nat__add__commute_0])).
% 39.35/6.19 thf(zip_derived_cl238, plain,
% 39.35/6.19 (![X0 : $i, X1 : $i]:
% 39.35/6.19 ((c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_nat)
% 39.35/6.19 = (c_HOL_Oplus__class_Oplus @ X0 @ X1 @ tc_nat))),
% 39.35/6.19 inference('cnf', [status(esa)], [cls_nat__add__commute_0])).
% 39.35/6.19 thf(zip_derived_cl1118, plain,
% 39.35/6.19 (( (c_HOL_Oord__class_Oless @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @
% 39.35/6.19 (v_g____ @
% 39.35/6.19 (v_f____ @
% 39.35/6.19 (c_HOL_Oplus__class_Oplus @ v_N2____ @ v_N1____ @ tc_nat))) @
% 39.35/6.19 v_z____ @ tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 v_d____ @ tc_RealDef_Oreal)
% 39.35/6.19 | ~ (c_lessequals @ v_N1____ @
% 39.35/6.19 (c_HOL_Oplus__class_Oplus @ v_N2____ @ v_N1____ @ tc_nat) @ tc_nat))),
% 39.35/6.19 inference('demod', [status(thm)],
% 39.35/6.19 [zip_derived_cl263, zip_derived_cl238, zip_derived_cl238])).
% 39.35/6.19 thf(cls_le__add2_0, axiom,
% 39.35/6.19 (c_lessequals @
% 39.35/6.19 V_n @ ( c_HOL_Oplus__class_Oplus @ V_m @ V_n @ tc_nat ) @ tc_nat)).
% 39.35/6.19 thf(zip_derived_cl173, plain,
% 39.35/6.19 (![X0 : $i, X1 : $i]:
% 39.35/6.19 (c_lessequals @ X0 @ (c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_nat) @
% 39.35/6.19 tc_nat)),
% 39.35/6.19 inference('cnf', [status(esa)], [cls_le__add2_0])).
% 39.35/6.19 thf(zip_derived_cl2117, plain,
% 39.35/6.19 ( (c_HOL_Oord__class_Oless @
% 39.35/6.19 (c_RealVector_Onorm__class_Onorm @
% 39.35/6.19 (c_HOL_Ominus__class_Ominus @
% 39.35/6.19 (v_g____ @
% 39.35/6.19 (v_f____ @
% 39.35/6.19 (c_HOL_Oplus__class_Oplus @ v_N2____ @ v_N1____ @ tc_nat))) @
% 39.35/6.19 v_z____ @ tc_Complex_Ocomplex) @
% 39.35/6.19 tc_Complex_Ocomplex) @
% 39.35/6.19 v_d____ @ tc_RealDef_Oreal)),
% 39.35/6.19 inference('demod', [status(thm)], [zip_derived_cl1118, zip_derived_cl173])).
% 39.35/6.19 thf(zip_derived_cl28158, plain, ($false),
% 39.35/6.19 inference('demod', [status(thm)],
% 39.35/6.19 [zip_derived_cl27932, zip_derived_cl2117])).
% 39.35/6.19
% 39.35/6.19 % SZS output end Refutation
% 39.35/6.19
% 39.35/6.19
% 39.35/6.19 % Terminating...
% 39.61/6.24 % Runner terminated.
% 39.61/6.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------