TSTP Solution File: SWV602-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV602-1 : 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.gp1V296aDD 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 00:11:31 EDT 2023

% Result   : Unsatisfiable 4.72s 1.33s
% Output   : Refutation 4.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV602-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gp1V296aDD 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 09:44:28 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.12/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.29/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.29/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.29/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.72/1.33  % Solved by fo/fo3_bce.sh.
% 4.72/1.33  % BCE start: 588
% 4.72/1.33  % BCE eliminated: 27
% 4.72/1.33  % PE start: 561
% 4.72/1.33  logic: eq
% 4.72/1.33  % PE eliminated: -51
% 4.72/1.33  % done 423 iterations in 0.584s
% 4.72/1.33  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.72/1.33  % SZS output start Refutation
% 4.72/1.33  thf(class_Ring__and__Field_Ocomm__semiring__1_type, type, class_Ring__and__Field_Ocomm__semiring__1: 
% 4.72/1.33      $i > $o).
% 4.72/1.33  thf(c_RealDef_Oreal_type, type, c_RealDef_Oreal: $i > $i > $i).
% 4.72/1.33  thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes: 
% 4.72/1.33      $i > $i > $i > $i).
% 4.72/1.33  thf(c_Int_OPls_type, type, c_Int_OPls: $i).
% 4.72/1.33  thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 4.72/1.33  thf(c_Transcendental_Opi_type, type, c_Transcendental_Opi: $i).
% 4.72/1.33  thf(c_Int_Onumber__class_Onumber__of_type, type, c_Int_Onumber__class_Onumber__of: 
% 4.72/1.33      $i > $i > $i).
% 4.72/1.33  thf(tc_nat_type, type, tc_nat: $i).
% 4.72/1.33  thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 4.72/1.33  thf(c_HOL_Oinverse__class_Odivide_type, type, c_HOL_Oinverse__class_Odivide: 
% 4.72/1.33      $i > $i > $i > $i).
% 4.72/1.33  thf(tc_RealDef_Oreal_type, type, tc_RealDef_Oreal: $i).
% 4.72/1.33  thf(v_n_type, type, v_n: $i).
% 4.72/1.33  thf(c_Transcendental_Ocos_type, type, c_Transcendental_Ocos: $i > $i).
% 4.72/1.33  thf(c_Int_OBit1_type, type, c_Int_OBit1: $i > $i).
% 4.72/1.33  thf(c_Int_OBit0_type, type, c_Int_OBit0: $i > $i).
% 4.72/1.33  thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i > 
% 4.72/1.33                                                                     $i > $i).
% 4.72/1.33  thf(class_Int_Onumber__ring_type, type, class_Int_Onumber__ring: $i > $o).
% 4.72/1.33  thf(c_Transcendental_Osin_type, type, c_Transcendental_Osin: $i > $i).
% 4.72/1.33  thf(cls_conjecture_1, conjecture,
% 4.72/1.33    (( c_Transcendental_Osin @
% 4.72/1.33       ( c_HOL_Oinverse__class_Odivide @
% 4.72/1.33         ( c_HOL_Otimes__class_Otimes @
% 4.72/1.33           ( c_Int_Onumber__class_Onumber__of @
% 4.72/1.33             ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_RealDef_Oreal ) @ 
% 4.72/1.33           c_Transcendental_Opi @ tc_RealDef_Oreal ) @ 
% 4.72/1.33         ( c_RealDef_Oreal @ v_n @ tc_nat ) @ tc_RealDef_Oreal ) ) !=
% 4.72/1.33     ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ))).
% 4.72/1.33  thf(zf_stmt_0, negated_conjecture,
% 4.72/1.33    (( c_Transcendental_Osin @
% 4.72/1.33       ( c_HOL_Oinverse__class_Odivide @
% 4.72/1.33         ( c_HOL_Otimes__class_Otimes @
% 4.72/1.33           ( c_Int_Onumber__class_Onumber__of @
% 4.72/1.33             ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_RealDef_Oreal ) @ 
% 4.72/1.33           c_Transcendental_Opi @ tc_RealDef_Oreal ) @ 
% 4.72/1.33         ( c_RealDef_Oreal @ v_n @ tc_nat ) @ tc_RealDef_Oreal ) ) =
% 4.72/1.33     ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal )),
% 4.72/1.33    inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 4.72/1.33  thf(zip_derived_cl586, plain,
% 4.72/1.33      (((c_Transcendental_Osin @ 
% 4.72/1.33         (c_HOL_Oinverse__class_Odivide @ 
% 4.72/1.33          (c_HOL_Otimes__class_Otimes @ 
% 4.72/1.33           (c_Int_Onumber__class_Onumber__of @ 
% 4.72/1.33            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @ 
% 4.72/1.33           c_Transcendental_Opi @ tc_RealDef_Oreal) @ 
% 4.72/1.33          (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal))
% 4.72/1.33         = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.72/1.33  thf(cls_real__mult__commute_0, axiom,
% 4.72/1.33    (( c_HOL_Otimes__class_Otimes @ V_z @ V_w @ tc_RealDef_Oreal ) =
% 4.72/1.33     ( c_HOL_Otimes__class_Otimes @ V_w @ V_z @ tc_RealDef_Oreal ))).
% 4.72/1.33  thf(zip_derived_cl560, plain,
% 4.72/1.33      (![X0 : $i, X1 : $i]:
% 4.72/1.33         ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_RealDef_Oreal)
% 4.72/1.33           = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('cnf', [status(esa)], [cls_real__mult__commute_0])).
% 4.72/1.33  thf(zip_derived_cl7214, plain,
% 4.72/1.33      (((c_Transcendental_Osin @ 
% 4.72/1.33         (c_HOL_Oinverse__class_Odivide @ 
% 4.72/1.33          (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @ 
% 4.72/1.33           (c_Int_Onumber__class_Onumber__of @ 
% 4.72/1.33            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @ 
% 4.72/1.33           tc_RealDef_Oreal) @ 
% 4.72/1.33          (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal))
% 4.72/1.33         = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('demod', [status(thm)], [zip_derived_cl586, zip_derived_cl560])).
% 4.72/1.33  thf(cls_sin__cos__squared__add3_0, axiom,
% 4.72/1.33    (( c_HOL_Oplus__class_Oplus @
% 4.72/1.33       ( c_HOL_Otimes__class_Otimes @
% 4.72/1.33         ( c_Transcendental_Ocos @ V_x ) @ ( c_Transcendental_Ocos @ V_x ) @ 
% 4.72/1.33         tc_RealDef_Oreal ) @ 
% 4.72/1.33       ( c_HOL_Otimes__class_Otimes @
% 4.72/1.33         ( c_Transcendental_Osin @ V_x ) @ ( c_Transcendental_Osin @ V_x ) @ 
% 4.72/1.33         tc_RealDef_Oreal ) @ 
% 4.72/1.33       tc_RealDef_Oreal ) =
% 4.72/1.33     ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ))).
% 4.72/1.33  thf(zip_derived_cl94, plain,
% 4.72/1.33      (![X0 : $i]:
% 4.72/1.33         ((c_HOL_Oplus__class_Oplus @ 
% 4.72/1.33           (c_HOL_Otimes__class_Otimes @ (c_Transcendental_Ocos @ X0) @ 
% 4.72/1.33            (c_Transcendental_Ocos @ X0) @ tc_RealDef_Oreal) @ 
% 4.72/1.33           (c_HOL_Otimes__class_Otimes @ (c_Transcendental_Osin @ X0) @ 
% 4.72/1.33            (c_Transcendental_Osin @ X0) @ tc_RealDef_Oreal) @ 
% 4.72/1.33           tc_RealDef_Oreal) = (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('cnf', [status(esa)], [cls_sin__cos__squared__add3_0])).
% 4.72/1.33  thf(zip_derived_cl9410, plain,
% 4.72/1.33      (((c_HOL_Oplus__class_Oplus @ 
% 4.72/1.33         (c_HOL_Otimes__class_Otimes @ 
% 4.72/1.33          (c_Transcendental_Ocos @ 
% 4.72/1.33           (c_HOL_Oinverse__class_Odivide @ 
% 4.72/1.33            (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @ 
% 4.72/1.33             (c_Int_Onumber__class_Onumber__of @ 
% 4.72/1.33              (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @ 
% 4.72/1.33             tc_RealDef_Oreal) @ 
% 4.72/1.33            (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal)) @ 
% 4.72/1.33          (c_Transcendental_Ocos @ 
% 4.72/1.33           (c_HOL_Oinverse__class_Odivide @ 
% 4.72/1.33            (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @ 
% 4.72/1.33             (c_Int_Onumber__class_Onumber__of @ 
% 4.72/1.33              (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @ 
% 4.72/1.33             tc_RealDef_Oreal) @ 
% 4.72/1.33            (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal)) @ 
% 4.72/1.33          tc_RealDef_Oreal) @ 
% 4.72/1.33         (c_HOL_Otimes__class_Otimes @ 
% 4.72/1.33          (c_Transcendental_Osin @ 
% 4.72/1.33           (c_HOL_Oinverse__class_Odivide @ 
% 4.72/1.33            (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @ 
% 4.72/1.33             (c_Int_Onumber__class_Onumber__of @ 
% 4.72/1.33              (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @ 
% 4.72/1.33             tc_RealDef_Oreal) @ 
% 4.72/1.33            (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal)) @ 
% 4.72/1.33          (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @ 
% 4.72/1.33         tc_RealDef_Oreal) = (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('sup+', [status(thm)], [zip_derived_cl7214, zip_derived_cl94])).
% 4.72/1.33  thf(cls_conjecture_0, conjecture,
% 4.72/1.33    (( c_Transcendental_Ocos @
% 4.72/1.33       ( c_HOL_Oinverse__class_Odivide @
% 4.72/1.33         ( c_HOL_Otimes__class_Otimes @
% 4.72/1.33           ( c_Int_Onumber__class_Onumber__of @
% 4.72/1.33             ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_RealDef_Oreal ) @ 
% 4.72/1.33           c_Transcendental_Opi @ tc_RealDef_Oreal ) @ 
% 4.72/1.33         ( c_RealDef_Oreal @ v_n @ tc_nat ) @ tc_RealDef_Oreal ) ) !=
% 4.72/1.33     ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ))).
% 4.72/1.33  thf(zf_stmt_1, negated_conjecture,
% 4.72/1.33    (( c_Transcendental_Ocos @
% 4.72/1.33       ( c_HOL_Oinverse__class_Odivide @
% 4.72/1.33         ( c_HOL_Otimes__class_Otimes @
% 4.72/1.33           ( c_Int_Onumber__class_Onumber__of @
% 4.72/1.33             ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @ tc_RealDef_Oreal ) @ 
% 4.72/1.33           c_Transcendental_Opi @ tc_RealDef_Oreal ) @ 
% 4.72/1.33         ( c_RealDef_Oreal @ v_n @ tc_nat ) @ tc_RealDef_Oreal ) ) =
% 4.72/1.33     ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal )),
% 4.72/1.33    inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 4.72/1.33  thf(zip_derived_cl587, plain,
% 4.72/1.33      (((c_Transcendental_Ocos @ 
% 4.72/1.33         (c_HOL_Oinverse__class_Odivide @ 
% 4.72/1.33          (c_HOL_Otimes__class_Otimes @ 
% 4.72/1.33           (c_Int_Onumber__class_Onumber__of @ 
% 4.72/1.33            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @ 
% 4.72/1.33           c_Transcendental_Opi @ tc_RealDef_Oreal) @ 
% 4.72/1.33          (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal))
% 4.72/1.33         = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.72/1.33  thf(zip_derived_cl560, plain,
% 4.72/1.33      (![X0 : $i, X1 : $i]:
% 4.72/1.33         ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_RealDef_Oreal)
% 4.72/1.33           = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('cnf', [status(esa)], [cls_real__mult__commute_0])).
% 4.72/1.33  thf(zip_derived_cl7215, plain,
% 4.72/1.33      (((c_Transcendental_Ocos @ 
% 4.72/1.33         (c_HOL_Oinverse__class_Odivide @ 
% 4.72/1.33          (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @ 
% 4.72/1.33           (c_Int_Onumber__class_Onumber__of @ 
% 4.72/1.33            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @ 
% 4.72/1.33           tc_RealDef_Oreal) @ 
% 4.72/1.33          (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal))
% 4.72/1.33         = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('demod', [status(thm)], [zip_derived_cl587, zip_derived_cl560])).
% 4.72/1.33  thf(zip_derived_cl7215, plain,
% 4.72/1.33      (((c_Transcendental_Ocos @ 
% 4.72/1.33         (c_HOL_Oinverse__class_Odivide @ 
% 4.72/1.33          (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @ 
% 4.72/1.33           (c_Int_Onumber__class_Onumber__of @ 
% 4.72/1.33            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @ 
% 4.72/1.33           tc_RealDef_Oreal) @ 
% 4.72/1.33          (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal))
% 4.72/1.33         = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('demod', [status(thm)], [zip_derived_cl587, zip_derived_cl560])).
% 4.72/1.33  thf(zip_derived_cl560, plain,
% 4.72/1.33      (![X0 : $i, X1 : $i]:
% 4.72/1.33         ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_RealDef_Oreal)
% 4.72/1.33           = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('cnf', [status(esa)], [cls_real__mult__commute_0])).
% 4.72/1.33  thf(cls_class__semiring_Osemiring__rules_I10_J_0, axiom,
% 4.72/1.33    (( ~( class_Ring__and__Field_Ocomm__semiring__1 @ T_a ) ) | 
% 4.72/1.33     ( ( c_HOL_Otimes__class_Otimes @
% 4.72/1.33         V_a @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) =
% 4.72/1.33       ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 4.72/1.33  thf(zip_derived_cl497, plain,
% 4.72/1.33      (![X0 : $i, X1 : $i]:
% 4.72/1.33         (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 4.72/1.33          | ((c_HOL_Otimes__class_Otimes @ X1 @ 
% 4.72/1.33              (c_HOL_Ozero__class_Ozero @ X0) @ X0)
% 4.72/1.33              = (c_HOL_Ozero__class_Ozero @ X0)))),
% 4.72/1.33      inference('cnf', [status(esa)],
% 4.72/1.33                [cls_class__semiring_Osemiring__rules_I10_J_0])).
% 4.72/1.33  thf(zip_derived_cl7422, plain,
% 4.72/1.33      (![X0 : $i]:
% 4.72/1.33         (((c_HOL_Otimes__class_Otimes @ 
% 4.72/1.33            (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0 @ 
% 4.72/1.33            tc_RealDef_Oreal) = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 4.72/1.33          | ~ (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('sup+', [status(thm)], [zip_derived_cl560, zip_derived_cl497])).
% 4.72/1.33  thf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1, axiom,
% 4.72/1.33    (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal)).
% 4.72/1.33  thf(zip_derived_cl578, plain,
% 4.72/1.33      ( (class_Ring__and__Field_Ocomm__semiring__1 @ tc_RealDef_Oreal)),
% 4.72/1.33      inference('cnf', [status(esa)],
% 4.72/1.33                [clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1])).
% 4.72/1.33  thf(zip_derived_cl7424, plain,
% 4.72/1.33      (![X0 : $i]:
% 4.72/1.33         ((c_HOL_Otimes__class_Otimes @ 
% 4.72/1.33           (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0 @ 
% 4.72/1.33           tc_RealDef_Oreal) = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('demod', [status(thm)], [zip_derived_cl7422, zip_derived_cl578])).
% 4.72/1.33  thf(zip_derived_cl7214, plain,
% 4.72/1.33      (((c_Transcendental_Osin @ 
% 4.72/1.33         (c_HOL_Oinverse__class_Odivide @ 
% 4.72/1.33          (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @ 
% 4.72/1.33           (c_Int_Onumber__class_Onumber__of @ 
% 4.72/1.33            (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @ 
% 4.72/1.33           tc_RealDef_Oreal) @ 
% 4.72/1.33          (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal))
% 4.72/1.33         = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('demod', [status(thm)], [zip_derived_cl586, zip_derived_cl560])).
% 4.72/1.33  thf(zip_derived_cl7424, plain,
% 4.72/1.33      (![X0 : $i]:
% 4.72/1.33         ((c_HOL_Otimes__class_Otimes @ 
% 4.72/1.33           (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0 @ 
% 4.72/1.33           tc_RealDef_Oreal) = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('demod', [status(thm)], [zip_derived_cl7422, zip_derived_cl578])).
% 4.72/1.33  thf(clsarity_RealDef__Oreal__Int_Onumber__ring, axiom,
% 4.72/1.33    (class_Int_Onumber__ring @ tc_RealDef_Oreal)).
% 4.72/1.33  thf(zip_derived_cl581, plain,
% 4.72/1.33      ( (class_Int_Onumber__ring @ tc_RealDef_Oreal)),
% 4.72/1.33      inference('cnf', [status(esa)],
% 4.72/1.33                [clsarity_RealDef__Oreal__Int_Onumber__ring])).
% 4.72/1.33  thf(cls_add__numeral__0_0, axiom,
% 4.72/1.33    (( ~( class_Int_Onumber__ring @ T_a ) ) | 
% 4.72/1.33     ( ( c_HOL_Oplus__class_Oplus @
% 4.72/1.33         ( c_Int_Onumber__class_Onumber__of @ c_Int_OPls @ T_a ) @ V_a @ T_a ) =
% 4.72/1.33       ( V_a ) ))).
% 4.72/1.33  thf(zip_derived_cl232, plain,
% 4.72/1.33      (![X0 : $i, X1 : $i]:
% 4.72/1.33         (~ (class_Int_Onumber__ring @ X0)
% 4.72/1.33          | ((c_HOL_Oplus__class_Oplus @ 
% 4.72/1.33              (c_Int_Onumber__class_Onumber__of @ c_Int_OPls @ X0) @ X1 @ X0)
% 4.72/1.33              = (X1)))),
% 4.72/1.33      inference('cnf', [status(esa)], [cls_add__numeral__0_0])).
% 4.72/1.33  thf(zip_derived_cl3625, plain,
% 4.72/1.33      (![X0 : $i]:
% 4.72/1.33         ((c_HOL_Oplus__class_Oplus @ 
% 4.72/1.33           (c_Int_Onumber__class_Onumber__of @ c_Int_OPls @ tc_RealDef_Oreal) @ 
% 4.72/1.33           X0 @ tc_RealDef_Oreal) = (X0))),
% 4.72/1.33      inference('dp-resolution', [status(thm)],
% 4.72/1.33                [zip_derived_cl581, zip_derived_cl232])).
% 4.72/1.33  thf(zip_derived_cl581, plain,
% 4.72/1.33      ( (class_Int_Onumber__ring @ tc_RealDef_Oreal)),
% 4.72/1.33      inference('cnf', [status(esa)],
% 4.72/1.33                [clsarity_RealDef__Oreal__Int_Onumber__ring])).
% 4.72/1.33  thf(cls_comp__arith_I112_J_0, axiom,
% 4.72/1.33    (( ~( class_Int_Onumber__ring @ T_a ) ) | 
% 4.72/1.33     ( ( c_HOL_Ozero__class_Ozero @ T_a ) =
% 4.72/1.33       ( c_Int_Onumber__class_Onumber__of @ c_Int_OPls @ T_a ) ))).
% 4.72/1.33  thf(zip_derived_cl488, plain,
% 4.72/1.33      (![X0 : $i]:
% 4.72/1.33         (~ (class_Int_Onumber__ring @ X0)
% 4.72/1.33          | ((c_HOL_Ozero__class_Ozero @ X0)
% 4.72/1.33              = (c_Int_Onumber__class_Onumber__of @ c_Int_OPls @ X0)))),
% 4.72/1.33      inference('cnf', [status(esa)], [cls_comp__arith_I112_J_0])).
% 4.72/1.33  thf(zip_derived_cl3639, plain,
% 4.72/1.33      (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 4.72/1.33         = (c_Int_Onumber__class_Onumber__of @ c_Int_OPls @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('dp-resolution', [status(thm)],
% 4.72/1.33                [zip_derived_cl581, zip_derived_cl488])).
% 4.72/1.33  thf(zip_derived_cl7373, plain,
% 4.72/1.33      (![X0 : $i]:
% 4.72/1.33         ((c_HOL_Oplus__class_Oplus @ 
% 4.72/1.33           (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0 @ 
% 4.72/1.33           tc_RealDef_Oreal) = (X0))),
% 4.72/1.33      inference('demod', [status(thm)],
% 4.72/1.33                [zip_derived_cl3625, zip_derived_cl3639])).
% 4.72/1.33  thf(zip_derived_cl9459, plain,
% 4.72/1.33      (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 4.72/1.33         = (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('demod', [status(thm)],
% 4.72/1.33                [zip_derived_cl9410, zip_derived_cl7215, zip_derived_cl7215, 
% 4.72/1.33                 zip_derived_cl7424, zip_derived_cl7214, zip_derived_cl7424, 
% 4.72/1.33                 zip_derived_cl7373])).
% 4.72/1.33  thf(cls_real__zero__not__eq__one_0, axiom,
% 4.72/1.33    (( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) !=
% 4.72/1.33     ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ))).
% 4.72/1.33  thf(zip_derived_cl363, plain,
% 4.72/1.33      (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 4.72/1.33         != (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal))),
% 4.72/1.33      inference('cnf', [status(esa)], [cls_real__zero__not__eq__one_0])).
% 4.72/1.33  thf(zip_derived_cl9460, plain, ($false),
% 4.72/1.33      inference('simplify_reflect-', [status(thm)],
% 4.72/1.33                [zip_derived_cl9459, zip_derived_cl363])).
% 4.72/1.33  
% 4.72/1.33  % SZS output end Refutation
% 4.72/1.33  
% 4.72/1.33  
% 4.72/1.33  % Terminating...
% 4.72/1.38  % Runner terminated.
% 4.72/1.39  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------