TSTP Solution File: SWV620-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV620-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KwSn798IVt true
% Computer : n017.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 : Fri Sep 1 00:11:35 EDT 2023
% Result : Unsatisfiable 20.29s 3.49s
% Output : Refutation 20.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV620-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KwSn798IVt true
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 03:18:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.95/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.15/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.15/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.15/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.15/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.15/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 20.29/3.49 % Solved by fo/fo3_bce.sh.
% 20.29/3.49 % BCE start: 564
% 20.29/3.49 % BCE eliminated: 41
% 20.29/3.49 % PE start: 523
% 20.29/3.49 logic: eq
% 20.29/3.49 % PE eliminated: -76
% 20.29/3.49 % done 846 iterations in 2.749s
% 20.29/3.49 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 20.29/3.49 % SZS output start Refutation
% 20.29/3.49 thf(c_Int_Onumber__class_Onumber__of_type, type, c_Int_Onumber__class_Onumber__of:
% 20.29/3.49 $i > $i > $i).
% 20.29/3.49 thf(c_Int_OBit1_type, type, c_Int_OBit1: $i > $i).
% 20.29/3.49 thf(c_Int_OPls_type, type, c_Int_OPls: $i).
% 20.29/3.49 thf(v_k_type, type, v_k: $i).
% 20.29/3.49 thf(c_RealDef_Oreal_type, type, c_RealDef_Oreal: $i > $i > $i).
% 20.29/3.49 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 20.29/3.49 thf(class_Ring__and__Field_Oordered__field_type, type, class_Ring__and__Field_Oordered__field:
% 20.29/3.49 $i > $o).
% 20.29/3.49 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 20.29/3.49 thf(class_Ring__and__Field_Ofield_type, type, class_Ring__and__Field_Ofield:
% 20.29/3.49 $i > $o).
% 20.29/3.49 thf(class_Ring__and__Field_Oordered__semiring__strict_type, type, class_Ring__and__Field_Oordered__semiring__strict:
% 20.29/3.49 $i > $o).
% 20.29/3.49 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 20.29/3.49 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 20.29/3.49 thf(v_n_type, type, v_n: $i).
% 20.29/3.49 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i >
% 20.29/3.49 $i > $i).
% 20.29/3.49 thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes:
% 20.29/3.49 $i > $i > $i > $i).
% 20.29/3.49 thf(class_Int_Onumber__ring_type, type, class_Int_Onumber__ring: $i > $o).
% 20.29/3.49 thf(class_Ring__and__Field_Odivision__by__zero_type, type, class_Ring__and__Field_Odivision__by__zero:
% 20.29/3.49 $i > $o).
% 20.29/3.49 thf(c_HOL_Oinverse__class_Odivide_type, type, c_HOL_Oinverse__class_Odivide:
% 20.29/3.49 $i > $i > $i > $i).
% 20.29/3.49 thf(c_Transcendental_Opi_type, type, c_Transcendental_Opi: $i).
% 20.29/3.49 thf(class_Ring__and__Field_Oordered__ring__strict_type, type, class_Ring__and__Field_Oordered__ring__strict:
% 20.29/3.49 $i > $o).
% 20.29/3.49 thf(c_Int_OBit0_type, type, c_Int_OBit0: $i > $i).
% 20.29/3.49 thf(tc_nat_type, type, tc_nat: $i).
% 20.29/3.49 thf(tc_RealDef_Oreal_type, type, tc_RealDef_Oreal: $i).
% 20.29/3.49 thf(cls_mult__less__cancel__left__disj_4, axiom,
% 20.29/3.49 (( ~( class_Ring__and__Field_Oordered__ring__strict @ T_a ) ) |
% 20.29/3.49 ( c_HOL_Oord__class_Oless @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @ V_c @ V_a @ T_a ) @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @ V_c @ V_b @ T_a ) @ T_a ) |
% 20.29/3.49 ( ~( c_HOL_Oord__class_Oless @ V_a @ V_b @ T_a ) ) |
% 20.29/3.49 ( ~( c_HOL_Oord__class_Oless @
% 20.29/3.49 ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_c @ T_a ) ))).
% 20.29/3.49 thf(zip_derived_cl180, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.29/3.49 (~ (class_Ring__and__Field_Oordered__ring__strict @ X0)
% 20.29/3.49 | (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ X1 @ X2 @ X0) @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ X1 @ X3 @ X0) @ X0)
% 20.29/3.49 | ~ (c_HOL_Oord__class_Oless @ X2 @ X3 @ X0)
% 20.29/3.49 | ~ (c_HOL_Oord__class_Oless @ (c_HOL_Ozero__class_Ozero @ X0) @
% 20.29/3.49 X1 @ X0))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_mult__less__cancel__left__disj_4])).
% 20.29/3.49 thf(cls_conjecture_0, conjecture,
% 20.29/3.49 (c_HOL_Oord__class_Oless @
% 20.29/3.49 ( c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @
% 20.29/3.49 ( c_RealDef_Oreal @ v_k @ tc_nat ) @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @
% 20.29/3.49 ( c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_RealDef_Oreal ) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal ) @
% 20.29/3.49 tc_RealDef_Oreal ) @
% 20.29/3.49 ( c_RealDef_Oreal @ v_n @ tc_nat ) @ tc_RealDef_Oreal ) @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @
% 20.29/3.49 ( c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_RealDef_Oreal ) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal ) @
% 20.29/3.49 tc_RealDef_Oreal)).
% 20.29/3.49 thf(zf_stmt_0, negated_conjecture,
% 20.29/3.49 (~( c_HOL_Oord__class_Oless @
% 20.29/3.49 ( c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @
% 20.29/3.49 ( c_RealDef_Oreal @ v_k @ tc_nat ) @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @
% 20.29/3.49 ( c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 20.29/3.49 tc_RealDef_Oreal ) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal ) @
% 20.29/3.49 tc_RealDef_Oreal ) @
% 20.29/3.49 ( c_RealDef_Oreal @ v_n @ tc_nat ) @ tc_RealDef_Oreal ) @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @
% 20.29/3.49 ( c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_RealDef_Oreal ) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal ) @
% 20.29/3.49 tc_RealDef_Oreal )),
% 20.29/3.49 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 20.29/3.49 thf(zip_derived_cl563, plain,
% 20.29/3.49 (~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ (c_RealDef_Oreal @ v_k @ tc_nat) @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) @
% 20.29/3.49 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)], [zf_stmt_0])).
% 20.29/3.49 thf(cls_real__mult__commute_0, axiom,
% 20.29/3.49 (( c_HOL_Otimes__class_Otimes @ V_z @ V_w @ tc_RealDef_Oreal ) =
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @ V_w @ V_z @ tc_RealDef_Oreal ))).
% 20.29/3.49 thf(zip_derived_cl520, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i]:
% 20.29/3.49 ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_real__mult__commute_0])).
% 20.29/3.49 thf(zip_derived_cl520, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i]:
% 20.29/3.49 ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_real__mult__commute_0])).
% 20.29/3.49 thf(zip_derived_cl9554, plain,
% 20.29/3.49 (~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ (c_RealDef_Oreal @ v_k @ tc_nat) @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) @
% 20.29/3.49 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)),
% 20.29/3.49 inference('demod', [status(thm)],
% 20.29/3.49 [zip_derived_cl563, zip_derived_cl520, zip_derived_cl520])).
% 20.29/3.49 thf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero, axiom,
% 20.29/3.49 (class_Ring__and__Field_Odivision__by__zero @ tc_RealDef_Oreal)).
% 20.29/3.49 thf(zip_derived_cl551, plain,
% 20.29/3.49 ( (class_Ring__and__Field_Odivision__by__zero @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)],
% 20.29/3.49 [clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero])).
% 20.29/3.49 thf(cls_mult__frac__num_0, axiom,
% 20.29/3.49 (( ~( class_Ring__and__Field_Ofield @ T_a ) ) |
% 20.29/3.49 ( ~( class_Ring__and__Field_Odivision__by__zero @ T_a ) ) |
% 20.29/3.49 ( ( c_HOL_Otimes__class_Otimes @
% 20.29/3.49 ( c_HOL_Oinverse__class_Odivide @ V_x @ V_y @ T_a ) @ V_z @ T_a ) =
% 20.29/3.49 ( c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @ V_x @ V_z @ T_a ) @ V_y @ T_a ) ))).
% 20.29/3.49 thf(zip_derived_cl525, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.29/3.49 (~ (class_Ring__and__Field_Ofield @ X0)
% 20.29/3.49 | ~ (class_Ring__and__Field_Odivision__by__zero @ X0)
% 20.29/3.49 | ((c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ X1 @ X3 @ X0) @ X2 @ X0)
% 20.29/3.49 = (c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ X1 @ X2 @ X0) @ X3 @ X0)))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_mult__frac__num_0])).
% 20.29/3.49 thf(zip_derived_cl6023, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.29/3.49 (((c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ X2 @ X1 @ tc_RealDef_Oreal) @
% 20.29/3.49 X0 @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ X2 @ X0 @ tc_RealDef_Oreal) @
% 20.29/3.49 X1 @ tc_RealDef_Oreal))
% 20.29/3.49 | ~ (class_Ring__and__Field_Ofield @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('dp-resolution', [status(thm)],
% 20.29/3.49 [zip_derived_cl551, zip_derived_cl525])).
% 20.29/3.49 thf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield, axiom,
% 20.29/3.49 (class_Ring__and__Field_Ofield @ tc_RealDef_Oreal)).
% 20.29/3.49 thf(zip_derived_cl554, plain,
% 20.29/3.49 ( (class_Ring__and__Field_Ofield @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)],
% 20.29/3.49 [clsarity_RealDef__Oreal__Ring__and__Field_Ofield])).
% 20.29/3.49 thf(zip_derived_cl18892, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.29/3.49 ((c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ X2 @ X1 @ tc_RealDef_Oreal) @ X0 @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ X2 @ X0 @ tc_RealDef_Oreal) @ X1 @
% 20.29/3.49 tc_RealDef_Oreal))),
% 20.29/3.49 inference('demod', [status(thm)], [zip_derived_cl6023, zip_derived_cl554])).
% 20.29/3.49 thf(zip_derived_cl520, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i]:
% 20.29/3.49 ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_real__mult__commute_0])).
% 20.29/3.49 thf(cls_real__mult__assoc_0, axiom,
% 20.29/3.49 (( c_HOL_Otimes__class_Otimes @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @ V_z1 @ V_z2 @ tc_RealDef_Oreal ) @
% 20.29/3.49 V_z3 @ tc_RealDef_Oreal ) =
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @
% 20.29/3.49 V_z1 @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @ V_z2 @ V_z3 @ tc_RealDef_Oreal ) @
% 20.29/3.49 tc_RealDef_Oreal ))).
% 20.29/3.49 thf(zip_derived_cl500, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.29/3.49 ((c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal) @ X2 @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Otimes__class_Otimes @ X0 @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ X1 @ X2 @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_real__mult__assoc_0])).
% 20.29/3.49 thf(zip_derived_cl18893, plain,
% 20.29/3.49 (~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 (c_RealDef_Oreal @ v_k @ tc_nat) @
% 20.29/3.49 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)),
% 20.29/3.49 inference('demod', [status(thm)],
% 20.29/3.49 [zip_derived_cl9554, zip_derived_cl18892, zip_derived_cl520,
% 20.29/3.49 zip_derived_cl500])).
% 20.29/3.49 thf(zip_derived_cl21858, plain,
% 20.29/3.49 ((~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal)
% 20.29/3.49 | ~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 (c_RealDef_Oreal @ v_k @ tc_nat) @
% 20.29/3.49 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 | ~ (class_Ring__and__Field_Oordered__ring__strict @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('sup-', [status(thm)], [zip_derived_cl180, zip_derived_cl18893])).
% 20.29/3.49 thf(cls_pi__gt__zero_0, axiom,
% 20.29/3.49 (c_HOL_Oord__class_Oless @
% 20.29/3.49 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ c_Transcendental_Opi @
% 20.29/3.49 tc_RealDef_Oreal)).
% 20.29/3.49 thf(zip_derived_cl324, plain,
% 20.29/3.49 ( (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_pi__gt__zero_0])).
% 20.29/3.49 thf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict, axiom,
% 20.29/3.49 (class_Ring__and__Field_Oordered__ring__strict @ tc_RealDef_Oreal)).
% 20.29/3.49 thf(zip_derived_cl550, plain,
% 20.29/3.49 ( (class_Ring__and__Field_Oordered__ring__strict @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)],
% 20.29/3.49 [clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict])).
% 20.29/3.49 thf(zip_derived_cl21868, plain,
% 20.29/3.49 (~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ (c_RealDef_Oreal @ v_k @ tc_nat) @
% 20.29/3.49 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)),
% 20.29/3.49 inference('demod', [status(thm)],
% 20.29/3.49 [zip_derived_cl21858, zip_derived_cl324, zip_derived_cl550])).
% 20.29/3.49 thf(cls_order__less__le_2, axiom,
% 20.29/3.49 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 20.29/3.49 ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) | ( ( V_x ) = ( V_y ) ) |
% 20.29/3.49 ( ~( c_lessequals @ V_x @ V_y @ T_a ) ))).
% 20.29/3.49 thf(zip_derived_cl82, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.29/3.49 (~ (class_Orderings_Oorder @ X0)
% 20.29/3.49 | (c_HOL_Oord__class_Oless @ X1 @ X2 @ X0)
% 20.29/3.49 | ((X1) = (X2))
% 20.29/3.49 | ~ (c_lessequals @ X1 @ X2 @ X0))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_order__less__le_2])).
% 20.29/3.49 thf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field, axiom,
% 20.29/3.49 (class_Ring__and__Field_Oordered__field @ tc_RealDef_Oreal)).
% 20.29/3.49 thf(zip_derived_cl553, plain,
% 20.29/3.49 ( (class_Ring__and__Field_Oordered__field @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)],
% 20.29/3.49 [clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field])).
% 20.29/3.49 thf(cls_divide__pos__pos_0, axiom,
% 20.29/3.49 (( ~( class_Ring__and__Field_Oordered__field @ T_a ) ) |
% 20.29/3.49 ( c_HOL_Oord__class_Oless @
% 20.29/3.49 ( c_HOL_Ozero__class_Ozero @ T_a ) @
% 20.29/3.49 ( c_HOL_Oinverse__class_Odivide @ V_x @ V_y @ T_a ) @ T_a ) |
% 20.29/3.49 ( ~( c_HOL_Oord__class_Oless @
% 20.29/3.49 ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_y @ T_a ) ) |
% 20.29/3.49 ( ~( c_HOL_Oord__class_Oless @
% 20.29/3.49 ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_x @ T_a ) ))).
% 20.29/3.49 thf(zip_derived_cl225, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.29/3.49 (~ (class_Ring__and__Field_Oordered__field @ X0)
% 20.29/3.49 | (c_HOL_Oord__class_Oless @ (c_HOL_Ozero__class_Ozero @ X0) @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ X1 @ X2 @ X0) @ X0)
% 20.29/3.49 | ~ (c_HOL_Oord__class_Oless @ (c_HOL_Ozero__class_Ozero @ X0) @
% 20.29/3.49 X2 @ X0)
% 20.29/3.49 | ~ (c_HOL_Oord__class_Oless @ (c_HOL_Ozero__class_Ozero @ X0) @
% 20.29/3.49 X1 @ X0))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_divide__pos__pos_0])).
% 20.29/3.49 thf(zip_derived_cl5105, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i]:
% 20.29/3.49 (~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X1 @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 | ~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0 @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 | (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ X1 @ X0 @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal))),
% 20.29/3.49 inference('dp-resolution', [status(thm)],
% 20.29/3.49 [zip_derived_cl553, zip_derived_cl225])).
% 20.29/3.49 thf(cls_mult__pos__pos_0, axiom,
% 20.29/3.49 (( ~( class_Ring__and__Field_Oordered__semiring__strict @ T_a ) ) |
% 20.29/3.49 ( c_HOL_Oord__class_Oless @
% 20.29/3.49 ( c_HOL_Ozero__class_Ozero @ T_a ) @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @ V_a @ V_b @ T_a ) @ T_a ) |
% 20.29/3.49 ( ~( c_HOL_Oord__class_Oless @
% 20.29/3.49 ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_b @ T_a ) ) |
% 20.29/3.49 ( ~( c_HOL_Oord__class_Oless @
% 20.29/3.49 ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_a @ T_a ) ))).
% 20.29/3.49 thf(zip_derived_cl173, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.29/3.49 (~ (class_Ring__and__Field_Oordered__semiring__strict @ X0)
% 20.29/3.49 | (c_HOL_Oord__class_Oless @ (c_HOL_Ozero__class_Ozero @ X0) @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ X1 @ X2 @ X0) @ X0)
% 20.29/3.49 | ~ (c_HOL_Oord__class_Oless @ (c_HOL_Ozero__class_Ozero @ X0) @
% 20.29/3.49 X2 @ X0)
% 20.29/3.49 | ~ (c_HOL_Oord__class_Oless @ (c_HOL_Ozero__class_Ozero @ X0) @
% 20.29/3.49 X1 @ X0))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_mult__pos__pos_0])).
% 20.29/3.49 thf(cls_CHAINED_0, axiom,
% 20.29/3.49 (( c_HOL_Oord__class_Oless @
% 20.29/3.49 ( c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @
% 20.29/3.49 ( c_RealDef_Oreal @ v_k @ tc_nat ) @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @
% 20.29/3.49 ( c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 20.29/3.49 tc_RealDef_Oreal ) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal ) @
% 20.29/3.49 tc_RealDef_Oreal ) @
% 20.29/3.49 ( c_RealDef_Oreal @ v_n @ tc_nat ) @ tc_RealDef_Oreal ) @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @
% 20.29/3.49 ( c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_RealDef_Oreal ) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal ) @
% 20.29/3.49 tc_RealDef_Oreal ) |
% 20.29/3.49 ( ~( c_HOL_Oord__class_Oless @
% 20.29/3.49 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @
% 20.29/3.49 ( c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 ( c_HOL_Otimes__class_Otimes @
% 20.29/3.49 ( c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 20.29/3.49 tc_RealDef_Oreal ) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal ) @
% 20.29/3.49 ( c_RealDef_Oreal @ v_n @ tc_nat ) @ tc_RealDef_Oreal ) @
% 20.29/3.49 tc_RealDef_Oreal ) ) |
% 20.29/3.49 ( ~( c_HOL_Oord__class_Oless @ v_k @ v_n @ tc_nat ) ))).
% 20.29/3.49 thf(zip_derived_cl526, plain,
% 20.29/3.49 (( (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ (c_RealDef_Oreal @ v_k @ tc_nat) @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) @
% 20.29/3.49 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 | ~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 | ~ (c_HOL_Oord__class_Oless @ v_k @ v_n @ tc_nat))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_CHAINED_0])).
% 20.29/3.49 thf(zip_derived_cl520, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i]:
% 20.29/3.49 ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_real__mult__commute_0])).
% 20.29/3.49 thf(zip_derived_cl18892, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.29/3.49 ((c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ X2 @ X1 @ tc_RealDef_Oreal) @ X0 @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ X2 @ X0 @ tc_RealDef_Oreal) @ X1 @
% 20.29/3.49 tc_RealDef_Oreal))),
% 20.29/3.49 inference('demod', [status(thm)], [zip_derived_cl6023, zip_derived_cl554])).
% 20.29/3.49 thf(zip_derived_cl520, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i]:
% 20.29/3.49 ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_real__mult__commute_0])).
% 20.29/3.49 thf(zip_derived_cl500, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.29/3.49 ((c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal) @ X2 @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Otimes__class_Otimes @ X0 @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ X1 @ X2 @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_real__mult__assoc_0])).
% 20.29/3.49 thf(zip_derived_cl520, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i]:
% 20.29/3.49 ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_real__mult__commute_0])).
% 20.29/3.49 thf(zip_derived_cl18893, plain,
% 20.29/3.49 (~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 (c_RealDef_Oreal @ v_k @ tc_nat) @
% 20.29/3.49 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)),
% 20.29/3.49 inference('demod', [status(thm)],
% 20.29/3.49 [zip_derived_cl9554, zip_derived_cl18892, zip_derived_cl520,
% 20.29/3.49 zip_derived_cl500])).
% 20.29/3.49 thf(zip_derived_cl520, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i]:
% 20.29/3.49 ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_real__mult__commute_0])).
% 20.29/3.49 thf(zip_derived_cl18892, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.29/3.49 ((c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ X2 @ X1 @ tc_RealDef_Oreal) @ X0 @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @ X2 @ X0 @ tc_RealDef_Oreal) @ X1 @
% 20.29/3.49 tc_RealDef_Oreal))),
% 20.29/3.49 inference('demod', [status(thm)], [zip_derived_cl6023, zip_derived_cl554])).
% 20.29/3.49 thf(zip_derived_cl520, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i]:
% 20.29/3.49 ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_real__mult__commute_0])).
% 20.29/3.49 thf(cls_CHAINED_0_01, axiom, (c_HOL_Oord__class_Oless @ v_k @ v_n @ tc_nat)).
% 20.29/3.49 thf(zip_derived_cl527, plain,
% 20.29/3.49 ( (c_HOL_Oord__class_Oless @ v_k @ v_n @ tc_nat)),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_CHAINED_0_01])).
% 20.29/3.49 thf(zip_derived_cl27138, plain,
% 20.29/3.49 (~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ c_Transcendental_Opi @
% 20.29/3.49 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)),
% 20.29/3.49 inference('demod', [status(thm)],
% 20.29/3.49 [zip_derived_cl526, zip_derived_cl520, zip_derived_cl18892,
% 20.29/3.49 zip_derived_cl520, zip_derived_cl500, zip_derived_cl520,
% 20.29/3.49 zip_derived_cl18893, zip_derived_cl520, zip_derived_cl18892,
% 20.29/3.49 zip_derived_cl520, zip_derived_cl527])).
% 20.29/3.49 thf(zip_derived_cl27152, plain,
% 20.29/3.49 ((~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 | ~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ c_Transcendental_Opi @
% 20.29/3.49 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 | ~ (class_Ring__and__Field_Oordered__semiring__strict @
% 20.29/3.49 tc_RealDef_Oreal))),
% 20.29/3.49 inference('sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl27138])).
% 20.29/3.49 thf(cls_pi__half__gt__zero_0, axiom,
% 20.29/3.49 (c_HOL_Oord__class_Oless @
% 20.29/3.49 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @
% 20.29/3.49 ( c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 c_Transcendental_Opi @
% 20.29/3.49 ( c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_RealDef_Oreal ) @
% 20.29/3.49 tc_RealDef_Oreal ) @
% 20.29/3.49 tc_RealDef_Oreal)).
% 20.29/3.49 thf(zip_derived_cl473, plain,
% 20.29/3.49 ( (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ c_Transcendental_Opi @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_pi__half__gt__zero_0])).
% 20.29/3.49 thf(zip_derived_cl551, plain,
% 20.29/3.49 ( (class_Ring__and__Field_Odivision__by__zero @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)],
% 20.29/3.49 [clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero])).
% 20.29/3.49 thf(zip_derived_cl553, plain,
% 20.29/3.49 ( (class_Ring__and__Field_Oordered__field @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)],
% 20.29/3.49 [clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field])).
% 20.29/3.49 thf(cls_zero__less__divide__iff_2, axiom,
% 20.29/3.49 (( ~( class_Ring__and__Field_Oordered__field @ T_a ) ) |
% 20.29/3.49 ( ~( class_Ring__and__Field_Odivision__by__zero @ T_a ) ) |
% 20.29/3.49 ( c_HOL_Oord__class_Oless @ V_a @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) |
% 20.29/3.49 ( c_HOL_Oord__class_Oless @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_b @ T_a ) |
% 20.29/3.49 ( ~( c_HOL_Oord__class_Oless @
% 20.29/3.49 ( c_HOL_Ozero__class_Ozero @ T_a ) @
% 20.29/3.49 ( c_HOL_Oinverse__class_Odivide @ V_a @ V_b @ T_a ) @ T_a ) ))).
% 20.29/3.49 thf(zip_derived_cl288, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.29/3.49 (~ (class_Ring__and__Field_Oordered__field @ X0)
% 20.29/3.49 | ~ (class_Ring__and__Field_Odivision__by__zero @ X0)
% 20.29/3.49 | (c_HOL_Oord__class_Oless @ X1 @ (c_HOL_Ozero__class_Ozero @ X0) @
% 20.29/3.49 X0)
% 20.29/3.49 | (c_HOL_Oord__class_Oless @ (c_HOL_Ozero__class_Ozero @ X0) @ X2 @
% 20.29/3.49 X0)
% 20.29/3.49 | ~ (c_HOL_Oord__class_Oless @ (c_HOL_Ozero__class_Ozero @ X0) @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ X1 @ X2 @ X0) @ X0))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_zero__less__divide__iff_2])).
% 20.29/3.49 thf(zip_derived_cl5116, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i]:
% 20.29/3.49 (~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ X0 @ X1 @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 | (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X1 @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 | (c_HOL_Oord__class_Oless @ X0 @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 20.29/3.49 | ~ (class_Ring__and__Field_Odivision__by__zero @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('dp-resolution', [status(thm)],
% 20.29/3.49 [zip_derived_cl553, zip_derived_cl288])).
% 20.29/3.49 thf(zip_derived_cl6269, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i]:
% 20.29/3.49 (((tc_RealDef_Oreal) != (tc_RealDef_Oreal))
% 20.29/3.49 | (c_HOL_Oord__class_Oless @ X1 @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 20.29/3.49 | (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0 @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 | ~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ X1 @ X0 @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal))),
% 20.29/3.49 inference('dp-resolution', [status(thm)],
% 20.29/3.49 [zip_derived_cl551, zip_derived_cl5116])).
% 20.29/3.49 thf(zip_derived_cl19563, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i]:
% 20.29/3.49 (~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ X1 @ X0 @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 | (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0 @
% 20.29/3.49 tc_RealDef_Oreal)
% 20.29/3.49 | (c_HOL_Oord__class_Oless @ X1 @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('simplify', [status(thm)], [zip_derived_cl6269])).
% 20.29/3.49 thf(zip_derived_cl19575, plain,
% 20.29/3.49 (( (c_HOL_Oord__class_Oless @ c_Transcendental_Opi @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 20.29/3.49 | (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal))),
% 20.29/3.49 inference('sup-', [status(thm)], [zip_derived_cl473, zip_derived_cl19563])).
% 20.29/3.49 thf(cls_pi__not__less__zero_0, axiom,
% 20.29/3.49 (~( c_HOL_Oord__class_Oless @
% 20.29/3.49 c_Transcendental_Opi @
% 20.29/3.49 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ tc_RealDef_Oreal ))).
% 20.29/3.49 thf(zip_derived_cl325, plain,
% 20.29/3.49 (~ (c_HOL_Oord__class_Oless @ c_Transcendental_Opi @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_pi__not__less__zero_0])).
% 20.29/3.49 thf(zip_derived_cl19597, plain,
% 20.29/3.49 ( (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)),
% 20.29/3.49 inference('demod', [status(thm)],
% 20.29/3.49 [zip_derived_cl19575, zip_derived_cl325])).
% 20.29/3.49 thf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict, axiom,
% 20.29/3.49 (class_Ring__and__Field_Oordered__semiring__strict @ tc_RealDef_Oreal)).
% 20.29/3.49 thf(zip_derived_cl548, plain,
% 20.29/3.49 ( (class_Ring__and__Field_Oordered__semiring__strict @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)],
% 20.29/3.49 [clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict])).
% 20.29/3.49 thf(zip_derived_cl27158, plain,
% 20.29/3.49 (~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Oinverse__class_Odivide @ c_Transcendental_Opi @
% 20.29/3.49 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)),
% 20.29/3.49 inference('demod', [status(thm)],
% 20.29/3.49 [zip_derived_cl27152, zip_derived_cl19597, zip_derived_cl548])).
% 20.29/3.49 thf(zip_derived_cl27179, plain,
% 20.29/3.49 ((~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal)
% 20.29/3.49 | ~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('sup-', [status(thm)],
% 20.29/3.49 [zip_derived_cl5105, zip_derived_cl27158])).
% 20.29/3.49 thf(zip_derived_cl324, plain,
% 20.29/3.49 ( (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 c_Transcendental_Opi @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_pi__gt__zero_0])).
% 20.29/3.49 thf(zip_derived_cl27184, plain,
% 20.29/3.49 (~ (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('demod', [status(thm)],
% 20.29/3.49 [zip_derived_cl27179, zip_derived_cl324])).
% 20.29/3.49 thf(zip_derived_cl27197, plain,
% 20.29/3.49 ((~ (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal)
% 20.29/3.49 | ((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_RealDef_Oreal @ v_n @ tc_nat))
% 20.29/3.49 | ~ (class_Orderings_Oorder @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl27184])).
% 20.29/3.49 thf(cls_real__of__nat__ge__zero_0, axiom,
% 20.29/3.49 (c_lessequals @
% 20.29/3.49 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @
% 20.29/3.49 ( c_RealDef_Oreal @ V_n @ tc_nat ) @ tc_RealDef_Oreal)).
% 20.29/3.49 thf(zip_derived_cl116, plain,
% 20.29/3.49 (![X0 : $i]:
% 20.29/3.49 (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_RealDef_Oreal @ X0 @ tc_nat) @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_real__of__nat__ge__zero_0])).
% 20.29/3.49 thf(clsarity_RealDef__Oreal__Orderings_Oorder, axiom,
% 20.29/3.49 (class_Orderings_Oorder @ tc_RealDef_Oreal)).
% 20.29/3.49 thf(zip_derived_cl557, plain, ( (class_Orderings_Oorder @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)],
% 20.29/3.49 [clsarity_RealDef__Oreal__Orderings_Oorder])).
% 20.29/3.49 thf(zip_derived_cl27202, plain,
% 20.29/3.49 (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_RealDef_Oreal @ v_n @ tc_nat))),
% 20.29/3.49 inference('demod', [status(thm)],
% 20.29/3.49 [zip_derived_cl27197, zip_derived_cl116, zip_derived_cl557])).
% 20.29/3.49 thf(zip_derived_cl551, plain,
% 20.29/3.49 ( (class_Ring__and__Field_Odivision__by__zero @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)],
% 20.29/3.49 [clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero])).
% 20.29/3.49 thf(cls_eq__divide__eq_2, axiom,
% 20.29/3.49 (( ~( class_Ring__and__Field_Ofield @ T_a ) ) |
% 20.29/3.49 ( ~( class_Ring__and__Field_Odivision__by__zero @ T_a ) ) |
% 20.29/3.49 ( ( c_HOL_Ozero__class_Ozero @ T_a ) =
% 20.29/3.49 ( c_HOL_Oinverse__class_Odivide @
% 20.29/3.49 V_b @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) ))).
% 20.29/3.49 thf(zip_derived_cl47, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i]:
% 20.29/3.49 (~ (class_Ring__and__Field_Ofield @ X0)
% 20.29/3.49 | ~ (class_Ring__and__Field_Odivision__by__zero @ X0)
% 20.29/3.49 | ((c_HOL_Ozero__class_Ozero @ X0)
% 20.29/3.49 = (c_HOL_Oinverse__class_Odivide @ X1 @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ X0) @ X0)))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_eq__divide__eq_2])).
% 20.29/3.49 thf(zip_derived_cl5989, plain,
% 20.29/3.49 (![X0 : $i]:
% 20.29/3.49 (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Oinverse__class_Odivide @ X0 @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal))
% 20.29/3.49 | ~ (class_Ring__and__Field_Ofield @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('dp-resolution', [status(thm)],
% 20.29/3.49 [zip_derived_cl551, zip_derived_cl47])).
% 20.29/3.49 thf(zip_derived_cl554, plain,
% 20.29/3.49 ( (class_Ring__and__Field_Ofield @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)],
% 20.29/3.49 [clsarity_RealDef__Oreal__Ring__and__Field_Ofield])).
% 20.29/3.49 thf(zip_derived_cl9459, plain,
% 20.29/3.49 (![X0 : $i]:
% 20.29/3.49 ((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Oinverse__class_Odivide @ X0 @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('demod', [status(thm)], [zip_derived_cl5989, zip_derived_cl554])).
% 20.29/3.49 thf(clsarity_RealDef__Oreal__Int_Onumber__ring, axiom,
% 20.29/3.49 (class_Int_Onumber__ring @ tc_RealDef_Oreal)).
% 20.29/3.49 thf(zip_derived_cl558, plain,
% 20.29/3.49 ( (class_Int_Onumber__ring @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)],
% 20.29/3.49 [clsarity_RealDef__Oreal__Int_Onumber__ring])).
% 20.29/3.49 thf(cls_add__numeral__0__right_0, axiom,
% 20.29/3.49 (( ~( class_Int_Onumber__ring @ T_a ) ) |
% 20.29/3.49 ( ( c_HOL_Oplus__class_Oplus @
% 20.29/3.49 V_a @ ( c_Int_Onumber__class_Onumber__of @ c_Int_OPls @ T_a ) @ T_a ) =
% 20.29/3.49 ( V_a ) ))).
% 20.29/3.49 thf(zip_derived_cl298, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i]:
% 20.29/3.49 (~ (class_Int_Onumber__ring @ X0)
% 20.29/3.49 | ((c_HOL_Oplus__class_Oplus @ X1 @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @ c_Int_OPls @ X0) @ X0) = (
% 20.29/3.49 X1)))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_add__numeral__0__right_0])).
% 20.29/3.49 thf(zip_derived_cl4181, plain,
% 20.29/3.49 (![X0 : $i]:
% 20.29/3.49 ((c_HOL_Oplus__class_Oplus @ X0 @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @ c_Int_OPls @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal) = (X0))),
% 20.29/3.49 inference('dp-resolution', [status(thm)],
% 20.29/3.49 [zip_derived_cl558, zip_derived_cl298])).
% 20.29/3.49 thf(zip_derived_cl558, plain,
% 20.29/3.49 ( (class_Int_Onumber__ring @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)],
% 20.29/3.49 [clsarity_RealDef__Oreal__Int_Onumber__ring])).
% 20.29/3.49 thf(cls_comp__arith_I112_J_0, axiom,
% 20.29/3.49 (( ~( class_Int_Onumber__ring @ T_a ) ) |
% 20.29/3.49 ( ( c_HOL_Ozero__class_Ozero @ T_a ) =
% 20.29/3.49 ( c_Int_Onumber__class_Onumber__of @ c_Int_OPls @ T_a ) ))).
% 20.29/3.49 thf(zip_derived_cl295, plain,
% 20.29/3.49 (![X0 : $i]:
% 20.29/3.49 (~ (class_Int_Onumber__ring @ X0)
% 20.29/3.49 | ((c_HOL_Ozero__class_Ozero @ X0)
% 20.29/3.49 = (c_Int_Onumber__class_Onumber__of @ c_Int_OPls @ X0)))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_comp__arith_I112_J_0])).
% 20.29/3.49 thf(zip_derived_cl4178, plain,
% 20.29/3.49 (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_Int_Onumber__class_Onumber__of @ c_Int_OPls @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('dp-resolution', [status(thm)],
% 20.29/3.49 [zip_derived_cl558, zip_derived_cl295])).
% 20.29/3.49 thf(zip_derived_cl8088, plain,
% 20.29/3.49 (![X0 : $i]:
% 20.29/3.49 ((c_HOL_Oplus__class_Oplus @ X0 @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 20.29/3.49 = (X0))),
% 20.29/3.49 inference('demod', [status(thm)],
% 20.29/3.49 [zip_derived_cl4181, zip_derived_cl4178])).
% 20.29/3.49 thf(zip_derived_cl558, plain,
% 20.29/3.49 ( (class_Int_Onumber__ring @ tc_RealDef_Oreal)),
% 20.29/3.49 inference('cnf', [status(esa)],
% 20.29/3.49 [clsarity_RealDef__Oreal__Int_Onumber__ring])).
% 20.29/3.49 thf(cls_mult__2_0, axiom,
% 20.29/3.49 (( ~( class_Int_Onumber__ring @ T_a ) ) |
% 20.29/3.49 ( ( c_HOL_Otimes__class_Otimes @
% 20.29/3.49 ( c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ T_a ) @
% 20.29/3.49 V_z @ T_a ) =
% 20.29/3.49 ( c_HOL_Oplus__class_Oplus @ V_z @ V_z @ T_a ) ))).
% 20.29/3.49 thf(zip_derived_cl460, plain,
% 20.29/3.49 (![X0 : $i, X1 : $i]:
% 20.29/3.49 (~ (class_Int_Onumber__ring @ X0)
% 20.29/3.49 | ((c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ X0) @
% 20.29/3.49 X1 @ X0) = (c_HOL_Oplus__class_Oplus @ X1 @ X1 @ X0)))),
% 20.29/3.49 inference('cnf', [status(esa)], [cls_mult__2_0])).
% 20.29/3.49 thf(zip_derived_cl4184, plain,
% 20.29/3.49 (![X0 : $i]:
% 20.29/3.49 ((c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 X0 @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Oplus__class_Oplus @ X0 @ X0 @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('dp-resolution', [status(thm)],
% 20.29/3.49 [zip_derived_cl558, zip_derived_cl460])).
% 20.29/3.49 thf(zip_derived_cl11283, plain,
% 20.29/3.49 (((c_HOL_Otimes__class_Otimes @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 20.29/3.49 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 20.29/3.49 inference('sup+', [status(thm)], [zip_derived_cl8088, zip_derived_cl4184])).
% 20.29/3.49 thf(zip_derived_cl19597, plain,
% 20.29/3.49 ( (c_HOL_Oord__class_Oless @
% 20.29/3.49 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @
% 20.29/3.49 (c_Int_Onumber__class_Onumber__of @
% 20.29/3.49 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 20.29/3.49 tc_RealDef_Oreal)),
% 20.29/3.49 inference('demod', [status(thm)],
% 20.29/3.49 [zip_derived_cl19575, zip_derived_cl325])).
% 20.29/3.49 thf(zip_derived_cl27211, plain, ($false),
% 20.29/3.49 inference('demod', [status(thm)],
% 20.29/3.49 [zip_derived_cl21868, zip_derived_cl27202, zip_derived_cl9459,
% 20.29/3.49 zip_derived_cl11283, zip_derived_cl19597])).
% 20.29/3.49
% 20.29/3.49 % SZS output end Refutation
% 20.29/3.49
% 20.29/3.49
% 20.29/3.49 % Terminating...
% 20.29/3.58 % Runner terminated.
% 20.29/3.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------