TSTP Solution File: SWV674-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV674-1 : 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.KDm786J7Lr true
% Computer : n023.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 00:11:44 EDT 2023
% Result : Unsatisfiable 28.52s 4.69s
% Output : Refutation 28.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV674-1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KDm786J7Lr true
% 0.14/0.34 % Computer : n023.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 09:52:55 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
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.47/0.63 % Total configuration time : 435
% 0.47/0.63 % Estimated wc time : 1092
% 0.47/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 28.52/4.69 % Solved by fo/fo6_bce.sh.
% 28.52/4.69 % BCE start: 685
% 28.52/4.69 % BCE eliminated: 264
% 28.52/4.69 % PE start: 421
% 28.52/4.69 logic: eq
% 28.52/4.69 % PE eliminated: -41
% 28.52/4.69 % done 1524 iterations in 3.932s
% 28.52/4.69 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 28.52/4.69 % SZS output start Refutation
% 28.52/4.69 thf(class_Ring__and__Field_Ofield_type, type, class_Ring__and__Field_Ofield:
% 28.52/4.69 $i > $o).
% 28.52/4.69 thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes:
% 28.52/4.69 $i > $i > $i > $i).
% 28.52/4.69 thf(class_Ring__and__Field_Ocomm__semiring__1_type, type, class_Ring__and__Field_Ocomm__semiring__1:
% 28.52/4.69 $i > $o).
% 28.52/4.69 thf(c_Power_Opower__class_Opower_type, type, c_Power_Opower__class_Opower:
% 28.52/4.69 $i > $i > $i > $i).
% 28.52/4.69 thf(c_HOL_Ominus__class_Ominus_type, type, c_HOL_Ominus__class_Ominus:
% 28.52/4.69 $i > $i > $i > $i).
% 28.52/4.69 thf(v_a_type, type, v_a: $i).
% 28.52/4.69 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 28.52/4.69 thf(c_HOL_Oinverse__class_Oinverse_type, type, c_HOL_Oinverse__class_Oinverse:
% 28.52/4.69 $i > $i > $i).
% 28.52/4.69 thf(class_Ring__and__Field_Odivision__ring_type, type, class_Ring__and__Field_Odivision__ring:
% 28.52/4.69 $i > $o).
% 28.52/4.69 thf(class_Power_Opower_type, type, class_Power_Opower: $i > $o).
% 28.52/4.69 thf(t_a_type, type, t_a: $i).
% 28.52/4.69 thf(class_Ring__and__Field_Osemiring__0_type, type, class_Ring__and__Field_Osemiring__0:
% 28.52/4.69 $i > $o).
% 28.52/4.69 thf(v_x_type, type, v_x: $i).
% 28.52/4.69 thf(tc_nat_type, type, tc_nat: $i).
% 28.52/4.69 thf(c_HOL_Oinverse__class_Odivide_type, type, c_HOL_Oinverse__class_Odivide:
% 28.52/4.69 $i > $i > $i > $i).
% 28.52/4.69 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 28.52/4.69 thf(tfree_tcs, conjecture, (~( class_Ring__and__Field_Ofield @ t_a ))).
% 28.52/4.69 thf(zf_stmt_0, negated_conjecture, (class_Ring__and__Field_Ofield @ t_a),
% 28.52/4.69 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 28.52/4.69 thf(zip_derived_cl612, plain, ( (class_Ring__and__Field_Ofield @ t_a)),
% 28.52/4.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 28.52/4.69 thf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring, axiom,
% 28.52/4.69 (( ~( class_Ring__and__Field_Ofield @ T ) ) |
% 28.52/4.69 ( class_Ring__and__Field_Odivision__ring @ T ))).
% 28.52/4.69 thf(zip_derived_cl621, plain,
% 28.52/4.69 (![X0 : $i]:
% 28.52/4.69 (~ (class_Ring__and__Field_Ofield @ X0)
% 28.52/4.69 | (class_Ring__and__Field_Odivision__ring @ X0))),
% 28.52/4.69 inference('cnf', [status(esa)],
% 28.52/4.69 [clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring])).
% 28.52/4.69 thf(cls_nonzero__power__inverse_0, axiom,
% 28.52/4.69 (( ~( class_Ring__and__Field_Odivision__ring @ T_a ) ) |
% 28.52/4.69 ( ( c_HOL_Oinverse__class_Oinverse @
% 28.52/4.69 ( c_Power_Opower__class_Opower @ V_a @ V_n @ T_a ) @ T_a ) =
% 28.52/4.69 ( c_Power_Opower__class_Opower @
% 28.52/4.69 ( c_HOL_Oinverse__class_Oinverse @ V_a @ T_a ) @ V_n @ T_a ) ) |
% 28.52/4.69 ( ( V_a ) = ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 28.52/4.69 thf(zip_derived_cl535, plain,
% 28.52/4.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.52/4.69 (~ (class_Ring__and__Field_Odivision__ring @ X0)
% 28.52/4.69 | ((c_HOL_Oinverse__class_Oinverse @
% 28.52/4.69 (c_Power_Opower__class_Opower @ X1 @ X2 @ X0) @ X0)
% 28.52/4.69 = (c_Power_Opower__class_Opower @
% 28.52/4.69 (c_HOL_Oinverse__class_Oinverse @ X1 @ X0) @ X2 @ X0))
% 28.52/4.69 | ((X1) = (c_HOL_Ozero__class_Ozero @ X0)))),
% 28.52/4.69 inference('cnf', [status(esa)], [cls_nonzero__power__inverse_0])).
% 28.52/4.69 thf(zip_derived_cl2326, plain,
% 28.52/4.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.52/4.69 (~ (class_Ring__and__Field_Ofield @ X0)
% 28.52/4.69 | ((X2) = (c_HOL_Ozero__class_Ozero @ X0))
% 28.52/4.69 | ((c_HOL_Oinverse__class_Oinverse @
% 28.52/4.69 (c_Power_Opower__class_Opower @ X2 @ X1 @ X0) @ X0)
% 28.52/4.69 = (c_Power_Opower__class_Opower @
% 28.52/4.69 (c_HOL_Oinverse__class_Oinverse @ X2 @ X0) @ X1 @ X0)))),
% 28.52/4.69 inference('dp-resolution', [status(thm)],
% 28.52/4.69 [zip_derived_cl621, zip_derived_cl535])).
% 28.52/4.69 thf(zip_derived_cl2853, plain,
% 28.52/4.69 (![X0 : $i, X1 : $i]:
% 28.52/4.69 (((c_HOL_Oinverse__class_Oinverse @
% 28.52/4.69 (c_Power_Opower__class_Opower @ X0 @ X1 @ t_a) @ t_a)
% 28.52/4.69 = (c_Power_Opower__class_Opower @
% 28.52/4.69 (c_HOL_Oinverse__class_Oinverse @ X0 @ t_a) @ X1 @ t_a))
% 28.52/4.69 | ((X0) = (c_HOL_Ozero__class_Ozero @ t_a)))),
% 28.52/4.69 inference('dp-resolution', [status(thm)],
% 28.52/4.69 [zip_derived_cl612, zip_derived_cl2326])).
% 28.52/4.69 thf(cls_conjecture_1, conjecture,
% 28.52/4.69 (( c_Power_Opower__class_Opower @
% 28.52/4.69 ( c_HOL_Oinverse__class_Oinverse @ v_a @ t_a ) @
% 28.52/4.69 ( c_HOL_Ominus__class_Ominus @
% 28.52/4.69 v_x @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ tc_nat ) @
% 28.52/4.69 t_a ) =
% 28.52/4.69 ( c_HOL_Oinverse__class_Odivide @
% 28.52/4.69 ( c_Power_Opower__class_Opower @
% 28.52/4.69 v_a @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ t_a ) @
% 28.52/4.69 ( c_Power_Opower__class_Opower @ v_a @ v_x @ t_a ) @ t_a ))).
% 28.52/4.69 thf(zf_stmt_1, negated_conjecture,
% 28.52/4.69 (( c_Power_Opower__class_Opower @
% 28.52/4.69 ( c_HOL_Oinverse__class_Oinverse @ v_a @ t_a ) @
% 28.52/4.69 ( c_HOL_Ominus__class_Ominus @
% 28.52/4.69 v_x @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ tc_nat ) @
% 28.52/4.69 t_a ) !=
% 28.52/4.69 ( c_HOL_Oinverse__class_Odivide @
% 28.52/4.69 ( c_Power_Opower__class_Opower @
% 28.52/4.69 v_a @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ t_a ) @
% 28.52/4.69 ( c_Power_Opower__class_Opower @ v_a @ v_x @ t_a ) @ t_a )),
% 28.52/4.69 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 28.52/4.69 thf(zip_derived_cl614, plain,
% 28.52/4.69 (((c_Power_Opower__class_Opower @
% 28.52/4.69 (c_HOL_Oinverse__class_Oinverse @ v_a @ t_a) @
% 28.52/4.69 (c_HOL_Ominus__class_Ominus @ v_x @
% 28.52/4.69 (c_HOL_Ozero__class_Ozero @ tc_nat) @ tc_nat) @
% 28.52/4.69 t_a)
% 28.52/4.69 != (c_HOL_Oinverse__class_Odivide @
% 28.52/4.69 (c_Power_Opower__class_Opower @ v_a @
% 28.52/4.69 (c_HOL_Ozero__class_Ozero @ tc_nat) @ t_a) @
% 28.52/4.69 (c_Power_Opower__class_Opower @ v_a @ v_x @ t_a) @ t_a))),
% 28.52/4.69 inference('cnf', [status(esa)], [zf_stmt_1])).
% 28.52/4.69 thf(cls_minus__nat_Odiff__0_0, axiom,
% 28.52/4.69 (( c_HOL_Ominus__class_Ominus @
% 28.52/4.69 V_m @ ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ tc_nat ) =
% 28.52/4.69 ( V_m ))).
% 28.52/4.69 thf(zip_derived_cl579, plain,
% 28.52/4.69 (![X0 : $i]:
% 28.52/4.69 ((c_HOL_Ominus__class_Ominus @ X0 @
% 28.52/4.69 (c_HOL_Ozero__class_Ozero @ tc_nat) @ tc_nat) = (X0))),
% 28.52/4.69 inference('cnf', [status(esa)], [cls_minus__nat_Odiff__0_0])).
% 28.52/4.69 thf(zip_derived_cl3289, plain,
% 28.52/4.69 (((c_Power_Opower__class_Opower @
% 28.52/4.69 (c_HOL_Oinverse__class_Oinverse @ v_a @ t_a) @ v_x @ t_a)
% 28.52/4.69 != (c_HOL_Oinverse__class_Odivide @
% 28.52/4.69 (c_Power_Opower__class_Opower @ v_a @
% 28.52/4.69 (c_HOL_Ozero__class_Ozero @ tc_nat) @ t_a) @
% 28.52/4.69 (c_Power_Opower__class_Opower @ v_a @ v_x @ t_a) @ t_a))),
% 28.52/4.69 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl579])).
% 28.52/4.69 thf(zip_derived_cl612, plain, ( (class_Ring__and__Field_Ofield @ t_a)),
% 28.52/4.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 28.52/4.69 thf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Osemiring__0, axiom,
% 28.52/4.69 (( ~( class_Ring__and__Field_Ofield @ T ) ) |
% 28.52/4.69 ( class_Ring__and__Field_Osemiring__0 @ T ))).
% 28.52/4.69 thf(zip_derived_cl623, plain,
% 28.52/4.69 (![X0 : $i]:
% 28.52/4.69 (~ (class_Ring__and__Field_Ofield @ X0)
% 28.52/4.69 | (class_Ring__and__Field_Osemiring__0 @ X0))),
% 28.52/4.69 inference('cnf', [status(esa)],
% 28.52/4.69 [clsrel_Ring__and__Field_Ofield_Ring__and__Field_Osemiring__0])).
% 28.52/4.69 thf(zip_derived_cl2830, plain,
% 28.52/4.69 ( (class_Ring__and__Field_Osemiring__0 @ t_a)),
% 28.52/4.69 inference('dp-resolution', [status(thm)],
% 28.52/4.69 [zip_derived_cl612, zip_derived_cl623])).
% 28.52/4.69 thf(cls_power__0__left_0, axiom,
% 28.52/4.69 (( ~( class_Ring__and__Field_Osemiring__0 @ T_a ) ) |
% 28.52/4.69 ( ~( class_Power_Opower @ T_a ) ) |
% 28.52/4.69 ( ( c_Power_Opower__class_Opower @
% 28.52/4.69 ( c_HOL_Ozero__class_Ozero @ T_a ) @
% 28.52/4.69 ( c_HOL_Ozero__class_Ozero @ tc_nat ) @ T_a ) =
% 28.52/4.69 ( c_HOL_Oone__class_Oone @ T_a ) ))).
% 28.52/4.69 thf(zip_derived_cl399, plain,
% 28.52/4.69 (![X0 : $i]:
% 28.52/4.69 (~ (class_Ring__and__Field_Osemiring__0 @ X0)
% 28.52/4.69 | ~ (class_Power_Opower @ X0)
% 28.52/4.69 | ((c_Power_Opower__class_Opower @ (c_HOL_Ozero__class_Ozero @ X0) @
% 28.52/4.69 (c_HOL_Ozero__class_Ozero @ tc_nat) @ X0)
% 28.52/4.69 = (c_HOL_Oone__class_Oone @ X0)))),
% 28.52/4.69 inference('cnf', [status(esa)], [cls_power__0__left_0])).
% 28.52/4.69 thf(zip_derived_cl2910, plain,
% 28.52/4.69 ((((c_Power_Opower__class_Opower @ (c_HOL_Ozero__class_Ozero @ t_a) @
% 28.52/4.69 (c_HOL_Ozero__class_Ozero @ tc_nat) @ t_a)
% 28.52/4.69 = (c_HOL_Oone__class_Oone @ t_a))
% 28.52/4.69 | ~ (class_Power_Opower @ t_a))),
% 28.52/4.69 inference('dp-resolution', [status(thm)],
% 28.52/4.69 [zip_derived_cl2830, zip_derived_cl399])).
% 28.52/4.69 thf(zip_derived_cl612, plain, ( (class_Ring__and__Field_Ofield @ t_a)),
% 28.52/4.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 28.52/4.69 thf(clsrel_Ring__and__Field_Ofield_Power_Opower, axiom,
% 28.52/4.69 (( ~( class_Ring__and__Field_Ofield @ T ) ) | ( class_Power_Opower @ T ))).
% 28.52/4.69 thf(zip_derived_cl630, plain,
% 28.52/4.69 (![X0 : $i]:
% 28.52/4.69 (~ (class_Ring__and__Field_Ofield @ X0) | (class_Power_Opower @ X0))),
% 28.52/4.69 inference('cnf', [status(esa)],
% 28.52/4.69 [clsrel_Ring__and__Field_Ofield_Power_Opower])).
% 28.52/4.69 thf(zip_derived_cl2837, plain, ( (class_Power_Opower @ t_a)),
% 28.52/4.69 inference('dp-resolution', [status(thm)],
% 28.52/4.69 [zip_derived_cl612, zip_derived_cl630])).
% 28.52/4.69 thf(zip_derived_cl3318, plain,
% 28.52/4.69 (((c_Power_Opower__class_Opower @ (c_HOL_Ozero__class_Ozero @ t_a) @
% 28.52/4.69 (c_HOL_Ozero__class_Ozero @ tc_nat) @ t_a)
% 28.52/4.69 = (c_HOL_Oone__class_Oone @ t_a))),
% 28.52/4.69 inference('demod', [status(thm)],
% 28.52/4.69 [zip_derived_cl2910, zip_derived_cl2837])).
% 28.52/4.69 thf(cls_class__semiring_Osemiring__rules_I7_J_0, axiom,
% 28.52/4.69 (( ~( class_Ring__and__Field_Ocomm__semiring__1 @ T_a ) ) |
% 28.52/4.69 ( ( c_HOL_Otimes__class_Otimes @ V_a @ V_b @ T_a ) =
% 28.52/4.69 ( c_HOL_Otimes__class_Otimes @ V_b @ V_a @ T_a ) ))).
% 28.52/4.69 thf(zip_derived_cl39, plain,
% 28.52/4.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.52/4.69 (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 28.52/4.69 | ((c_HOL_Otimes__class_Otimes @ X2 @ X1 @ X0)
% 28.52/4.69 = (c_HOL_Otimes__class_Otimes @ X1 @ X2 @ X0)))),
% 28.52/4.69 inference('cnf', [status(esa)],
% 28.52/4.69 [cls_class__semiring_Osemiring__rules_I7_J_0])).
% 28.52/4.69 thf(cls_class__semiring_Opwr__mul_0, axiom,
% 28.52/4.69 (( ~( class_Ring__and__Field_Ocomm__semiring__1 @ T_a ) ) |
% 28.52/4.69 ( ( c_Power_Opower__class_Opower @
% 28.52/4.69 ( c_HOL_Otimes__class_Otimes @ V_x @ V_y @ T_a ) @ V_q @ T_a ) =
% 28.52/4.69 ( c_HOL_Otimes__class_Otimes @
% 28.52/4.69 ( c_Power_Opower__class_Opower @ V_x @ V_q @ T_a ) @
% 28.52/4.69 ( c_Power_Opower__class_Opower @ V_y @ V_q @ T_a ) @ T_a ) ))).
% 28.52/4.69 thf(zip_derived_cl20, plain,
% 28.52/4.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 28.52/4.69 (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 28.52/4.69 | ((c_Power_Opower__class_Opower @
% 28.52/4.69 (c_HOL_Otimes__class_Otimes @ X1 @ X3 @ X0) @ X2 @ X0)
% 28.52/4.69 = (c_HOL_Otimes__class_Otimes @
% 28.52/4.69 (c_Power_Opower__class_Opower @ X1 @ X2 @ X0) @
% 28.52/4.69 (c_Power_Opower__class_Opower @ X3 @ X2 @ X0) @ X0)))),
% 28.52/4.69 inference('cnf', [status(esa)], [cls_class__semiring_Opwr__mul_0])).
% 28.52/4.69 thf(zip_derived_cl3360, plain,
% 28.52/4.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 28.52/4.69 (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 28.52/4.69 | ~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 28.52/4.69 | ((c_Power_Opower__class_Opower @
% 28.52/4.69 (c_HOL_Otimes__class_Otimes @ X2 @ X3 @ X0) @ X1 @ X0)
% 28.52/4.69 = (c_HOL_Otimes__class_Otimes @
% 28.52/4.69 (c_Power_Opower__class_Opower @ X3 @ X1 @ X0) @
% 28.52/4.69 (c_Power_Opower__class_Opower @ X2 @ X1 @ X0) @ X0)))),
% 28.52/4.69 inference('s_sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl20])).
% 28.52/4.69 thf(zip_derived_cl3396, plain,
% 28.52/4.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 28.52/4.69 (((c_Power_Opower__class_Opower @
% 28.52/4.69 (c_HOL_Otimes__class_Otimes @ X2 @ X3 @ X0) @ X1 @ X0)
% 28.52/4.69 = (c_HOL_Otimes__class_Otimes @
% 28.52/4.69 (c_Power_Opower__class_Opower @ X3 @ X1 @ X0) @
% 28.52/4.69 (c_Power_Opower__class_Opower @ X2 @ X1 @ X0) @ X0))
% 28.52/4.69 | ~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0))),
% 28.52/4.69 inference('simplify', [status(thm)], [zip_derived_cl3360])).
% 28.52/4.69 thf(zip_derived_cl4811, plain,
% 28.52/4.69 (![X0 : $i]:
% 28.52/4.69 (((c_Power_Opower__class_Opower @
% 28.52/4.69 (c_HOL_Otimes__class_Otimes @ X0 @
% 28.52/4.69 (c_HOL_Ozero__class_Ozero @ t_a) @ t_a) @
% 28.52/4.69 (c_HOL_Ozero__class_Ozero @ tc_nat) @ t_a)
% 28.52/4.69 = (c_HOL_Otimes__class_Otimes @ (c_HOL_Oone__class_Oone @ t_a) @
% 28.52/4.69 (c_Power_Opower__class_Opower @ X0 @
% 28.52/4.69 (c_HOL_Ozero__class_Ozero @ tc_nat) @ t_a) @
% 28.52/4.69 t_a))
% 28.52/4.69 | ~ (class_Ring__and__Field_Ocomm__semiring__1 @ t_a))),
% 28.52/4.69 inference('s_sup+', [status(thm)],
% 28.52/4.69 [zip_derived_cl3318, zip_derived_cl3396])).
% 28.52/4.69 thf(zip_derived_cl612, plain, ( (class_Ring__and__Field_Ofield @ t_a)),
% 28.52/4.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 28.52/4.69 thf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1, axiom,
% 28.52/4.69 (( ~( class_Ring__and__Field_Ofield @ T ) ) |
% 28.52/4.69 ( class_Ring__and__Field_Ocomm__semiring__1 @ T ))).
% 28.52/4.69 thf(zip_derived_cl618, plain,
% 28.52/4.69 (![X0 : $i]:
% 28.52/4.69 (~ (class_Ring__and__Field_Ofield @ X0)
% 28.52/4.69 | (class_Ring__and__Field_Ocomm__semiring__1 @ X0))),
% 28.52/4.69 inference('cnf', [status(esa)],
% 28.52/4.69 [clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1])).
% 28.52/4.69 thf(zip_derived_cl2827, plain,
% 28.52/4.69 ( (class_Ring__and__Field_Ocomm__semiring__1 @ t_a)),
% 28.52/4.69 inference('dp-resolution', [status(thm)],
% 28.52/4.69 [zip_derived_cl612, zip_derived_cl618])).
% 28.52/4.69 thf(cls_class__semiring_Osemiring__rules_I10_J_0, axiom,
% 28.52/4.69 (( ~( class_Ring__and__Field_Ocomm__semiring__1 @ T_a ) ) |
% 28.52/4.69 ( ( c_HOL_Otimes__class_Otimes @
% 28.52/4.69 V_a @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) =
% 28.52/4.69 ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 28.52/4.69 thf(zip_derived_cl7, plain,
% 28.52/4.69 (![X0 : $i, X1 : $i]:
% 28.52/4.69 (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 28.52/4.69 | ((c_HOL_Otimes__class_Otimes @ X1 @
% 28.52/4.69 (c_HOL_Ozero__class_Ozero @ X0) @ X0)
% 28.52/4.69 = (c_HOL_Ozero__class_Ozero @ X0)))),
% 28.52/4.69 inference('cnf', [status(esa)],
% 28.52/4.69 [cls_class__semiring_Osemiring__rules_I10_J_0])).
% 28.52/4.69 thf(zip_derived_cl3245, plain,
% 28.52/4.69 (![X0 : $i]:
% 28.52/4.69 ((c_HOL_Otimes__class_Otimes @ X0 @
% 28.52/4.69 (c_HOL_Ozero__class_Ozero @ t_a) @ t_a)
% 28.52/4.69 = (c_HOL_Ozero__class_Ozero @ t_a))),
% 28.52/4.69 inference('s_sup-', [status(thm)], [zip_derived_cl2827, zip_derived_cl7])).
% 28.52/4.69 thf(zip_derived_cl3318, plain,
% 28.52/4.69 (((c_Power_Opower__class_Opower @ (c_HOL_Ozero__class_Ozero @ t_a) @
% 28.52/4.69 (c_HOL_Ozero__class_Ozero @ tc_nat) @ t_a)
% 28.52/4.69 = (c_HOL_Oone__class_Oone @ t_a))),
% 28.52/4.69 inference('demod', [status(thm)],
% 28.52/4.69 [zip_derived_cl2910, zip_derived_cl2837])).
% 28.52/4.69 thf(zip_derived_cl2827, plain,
% 28.52/4.69 ( (class_Ring__and__Field_Ocomm__semiring__1 @ t_a)),
% 28.52/4.69 inference('dp-resolution', [status(thm)],
% 28.52/4.69 [zip_derived_cl612, zip_derived_cl618])).
% 28.52/4.69 thf(cls_class__semiring_Osemiring__rules_I11_J_0, axiom,
% 28.52/4.69 (( ~( class_Ring__and__Field_Ocomm__semiring__1 @ T_a ) ) |
% 28.52/4.69 ( ( c_HOL_Otimes__class_Otimes @
% 28.52/4.69 ( c_HOL_Oone__class_Oone @ T_a ) @ V_a @ T_a ) =
% 28.52/4.69 ( V_a ) ))).
% 28.52/4.69 thf(zip_derived_cl41, plain,
% 28.52/4.69 (![X0 : $i, X1 : $i]:
% 28.52/4.69 (~ (class_Ring__and__Field_Ocomm__semiring__1 @ X0)
% 28.52/4.69 | ((c_HOL_Otimes__class_Otimes @ (c_HOL_Oone__class_Oone @ X0) @
% 28.52/4.69 X1 @ X0) = (X1)))),
% 28.52/4.69 inference('cnf', [status(esa)],
% 28.52/4.69 [cls_class__semiring_Osemiring__rules_I11_J_0])).
% 28.52/4.69 thf(zip_derived_cl3406, plain,
% 28.52/4.69 (![X0 : $i]:
% 28.52/4.69 ((c_HOL_Otimes__class_Otimes @ (c_HOL_Oone__class_Oone @ t_a) @ X0 @
% 28.52/4.69 t_a) = (X0))),
% 28.52/4.69 inference('s_sup-', [status(thm)], [zip_derived_cl2827, zip_derived_cl41])).
% 28.52/4.69 thf(zip_derived_cl2827, plain,
% 28.52/4.69 ( (class_Ring__and__Field_Ocomm__semiring__1 @ t_a)),
% 28.52/4.69 inference('dp-resolution', [status(thm)],
% 28.52/4.69 [zip_derived_cl612, zip_derived_cl618])).
% 28.52/4.69 thf(zip_derived_cl4825, plain,
% 28.52/4.69 (![X0 : $i]:
% 28.52/4.69 ((c_HOL_Oone__class_Oone @ t_a)
% 28.52/4.69 = (c_Power_Opower__class_Opower @ X0 @
% 28.52/4.69 (c_HOL_Ozero__class_Ozero @ tc_nat) @ t_a))),
% 28.52/4.69 inference('demod', [status(thm)],
% 28.52/4.69 [zip_derived_cl4811, zip_derived_cl3245, zip_derived_cl3318,
% 28.52/4.69 zip_derived_cl3406, zip_derived_cl2827])).
% 28.52/4.69 thf(zip_derived_cl4857, plain,
% 28.52/4.69 (((c_Power_Opower__class_Opower @
% 28.52/4.69 (c_HOL_Oinverse__class_Oinverse @ v_a @ t_a) @ v_x @ t_a)
% 28.52/4.69 != (c_HOL_Oinverse__class_Odivide @ (c_HOL_Oone__class_Oone @ t_a) @
% 28.52/4.69 (c_Power_Opower__class_Opower @ v_a @ v_x @ t_a) @ t_a))),
% 28.52/4.69 inference('demod', [status(thm)],
% 28.52/4.69 [zip_derived_cl3289, zip_derived_cl4825])).
% 28.52/4.69 thf(zip_derived_cl612, plain, ( (class_Ring__and__Field_Ofield @ t_a)),
% 28.52/4.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 28.52/4.69 thf(cls_inverse__eq__divide_0, axiom,
% 28.52/4.69 (( ~( class_Ring__and__Field_Ofield @ T_a ) ) |
% 28.52/4.69 ( ( c_HOL_Oinverse__class_Oinverse @ V_a @ T_a ) =
% 28.52/4.69 ( c_HOL_Oinverse__class_Odivide @
% 28.52/4.69 ( c_HOL_Oone__class_Oone @ T_a ) @ V_a @ T_a ) ))).
% 28.52/4.69 thf(zip_derived_cl365, plain,
% 28.52/4.69 (![X0 : $i, X1 : $i]:
% 28.52/4.69 (~ (class_Ring__and__Field_Ofield @ X0)
% 28.52/4.69 | ((c_HOL_Oinverse__class_Oinverse @ X1 @ X0)
% 28.52/4.69 = (c_HOL_Oinverse__class_Odivide @
% 28.52/4.69 (c_HOL_Oone__class_Oone @ X0) @ X1 @ X0)))),
% 28.52/4.69 inference('cnf', [status(esa)], [cls_inverse__eq__divide_0])).
% 28.52/4.69 thf(zip_derived_cl2814, plain,
% 28.52/4.69 (![X0 : $i]:
% 28.52/4.69 ((c_HOL_Oinverse__class_Oinverse @ X0 @ t_a)
% 28.52/4.69 = (c_HOL_Oinverse__class_Odivide @ (c_HOL_Oone__class_Oone @ t_a) @
% 28.52/4.69 X0 @ t_a))),
% 28.52/4.69 inference('dp-resolution', [status(thm)],
% 28.52/4.69 [zip_derived_cl612, zip_derived_cl365])).
% 28.52/4.69 thf(zip_derived_cl5462, plain,
% 28.52/4.69 (((c_Power_Opower__class_Opower @
% 28.52/4.69 (c_HOL_Oinverse__class_Oinverse @ v_a @ t_a) @ v_x @ t_a)
% 28.52/4.69 != (c_HOL_Oinverse__class_Oinverse @
% 28.52/4.69 (c_Power_Opower__class_Opower @ v_a @ v_x @ t_a) @ t_a))),
% 28.52/4.69 inference('demod', [status(thm)],
% 28.52/4.69 [zip_derived_cl4857, zip_derived_cl2814])).
% 28.52/4.69 thf(zip_derived_cl16503, plain,
% 28.52/4.69 ((((v_a) = (c_HOL_Ozero__class_Ozero @ t_a))
% 28.52/4.69 | ((c_Power_Opower__class_Opower @
% 28.52/4.69 (c_HOL_Oinverse__class_Oinverse @ v_a @ t_a) @ v_x @ t_a)
% 28.52/4.69 != (c_Power_Opower__class_Opower @
% 28.52/4.69 (c_HOL_Oinverse__class_Oinverse @ v_a @ t_a) @ v_x @ t_a)))),
% 28.52/4.69 inference('s_sup-', [status(thm)],
% 28.52/4.69 [zip_derived_cl2853, zip_derived_cl5462])).
% 28.52/4.69 thf(zip_derived_cl16527, plain, (((v_a) = (c_HOL_Ozero__class_Ozero @ t_a))),
% 28.52/4.69 inference('simplify', [status(thm)], [zip_derived_cl16503])).
% 28.52/4.69 thf(zip_derived_cl612, plain, ( (class_Ring__and__Field_Ofield @ t_a)),
% 28.52/4.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 28.52/4.69 thf(cls_nz_0, axiom,
% 28.52/4.69 (( ~( class_Ring__and__Field_Ofield @ t_a ) ) |
% 28.52/4.69 ( ( v_a ) != ( c_HOL_Ozero__class_Ozero @ t_a ) ))).
% 28.52/4.69 thf(zip_derived_cl570, plain,
% 28.52/4.69 ((~ (class_Ring__and__Field_Ofield @ t_a)
% 28.52/4.69 | ((v_a) != (c_HOL_Ozero__class_Ozero @ t_a)))),
% 28.52/4.69 inference('cnf', [status(esa)], [cls_nz_0])).
% 28.52/4.69 thf(zip_derived_cl2821, plain,
% 28.52/4.69 ((((t_a) != (t_a)) | ((v_a) != (c_HOL_Ozero__class_Ozero @ t_a)))),
% 28.52/4.69 inference('dp-resolution', [status(thm)],
% 28.52/4.69 [zip_derived_cl612, zip_derived_cl570])).
% 28.52/4.69 thf(zip_derived_cl3228, plain, (((v_a) != (c_HOL_Ozero__class_Ozero @ t_a))),
% 28.52/4.69 inference('simplify', [status(thm)], [zip_derived_cl2821])).
% 28.52/4.69 thf(zip_derived_cl16528, plain, ($false),
% 28.52/4.69 inference('simplify_reflect-', [status(thm)],
% 28.52/4.69 [zip_derived_cl16527, zip_derived_cl3228])).
% 28.52/4.69
% 28.52/4.69 % SZS output end Refutation
% 28.52/4.69
% 28.52/4.69
% 28.52/4.69 % Terminating...
% 29.00/4.76 % Runner terminated.
% 29.00/4.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------