%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV601-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KkY9x5CbKc true
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:01:43 PM UTC 2025
% Result : Unsatisfiable 29.37s 4.83s
% Output : Refutation 29.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV601-1 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KkY9x5CbKc true
% 0.14/0.34 % Computer : n031.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 : Wed Oct 1 12:35:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/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
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 29.37/4.83 % Solved by fo/fo5.sh.
% 29.37/4.83 % done 2018 iterations in 4.054s
% 29.37/4.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 29.37/4.83 % SZS output start Refutation
% 29.37/4.83 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i >
% 29.37/4.83 $i > $i).
% 29.37/4.83 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 29.37/4.83 thf(tc_nat_type, type, tc_nat: $i).
% 29.37/4.83 thf(c_HOL_Oinverse__class_Odivide_type, type, c_HOL_Oinverse__class_Odivide:
% 29.37/4.83 $i > $i > $i > $i).
% 29.37/4.83 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 29.37/4.83 thf(class_Ring__and__Field_Oring__no__zero__divisors_type, type, class_Ring__and__Field_Oring__no__zero__divisors:
% 29.37/4.83 $i > $o).
% 29.37/4.83 thf(c_Int_OBit0_type, type, c_Int_OBit0: $i > $i).
% 29.37/4.83 thf(c_Transcendental_Otan_type, type, c_Transcendental_Otan: $i > $i).
% 29.37/4.83 thf(tc_RealDef_Oreal_type, type, tc_RealDef_Oreal: $i).
% 29.37/4.83 thf(class_OrderedGroup_Omonoid__add_type, type, class_OrderedGroup_Omonoid__add:
% 29.37/4.83 $i > $o).
% 29.37/4.83 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 29.37/4.83 thf(c_Int_Onumber__class_Onumber__of_type, type, c_Int_Onumber__class_Onumber__of:
% 29.37/4.83 $i > $i > $i).
% 29.37/4.83 thf(c_RealDef_Oreal_type, type, c_RealDef_Oreal: $i > $i > $i).
% 29.37/4.83 thf(c_Int_OPls_type, type, c_Int_OPls: $i).
% 29.37/4.83 thf(c_Transcendental_Osin_type, type, c_Transcendental_Osin: $i > $i).
% 29.37/4.83 thf(v_n_type, type, v_n: $i).
% 29.37/4.83 thf(c_Int_OBit1_type, type, c_Int_OBit1: $i > $i).
% 29.37/4.83 thf(c_Complex_Ocomplex_OComplex_type, type, c_Complex_Ocomplex_OComplex:
% 29.37/4.83 $i > $i > $i).
% 29.37/4.83 thf(c_Transcendental_Ocos_type, type, c_Transcendental_Ocos: $i > $i).
% 29.37/4.83 thf(c_Transcendental_Opi_type, type, c_Transcendental_Opi: $i).
% 29.37/4.83 thf(c_HOL_Otimes__class_Otimes_type, type, c_HOL_Otimes__class_Otimes:
% 29.37/4.83 $i > $i > $i > $i).
% 29.37/4.83 thf(cls_conjecture_0, conjecture,
% 29.37/4.83 (( c_Complex_Ocomplex_OComplex @
% 29.37/4.83 ( c_Transcendental_Ocos @
% 29.37/4.83 ( c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 ( c_HOL_Otimes__class_Otimes @
% 29.37/4.83 ( c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 29.37/4.83 tc_RealDef_Oreal ) @
% 29.37/4.83 c_Transcendental_Opi @ tc_RealDef_Oreal ) @
% 29.37/4.83 ( c_RealDef_Oreal @ v_n @ tc_nat ) @ tc_RealDef_Oreal ) ) @
% 29.37/4.83 ( c_Transcendental_Osin @
% 29.37/4.83 ( c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 ( c_HOL_Otimes__class_Otimes @
% 29.37/4.83 ( c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 29.37/4.83 tc_RealDef_Oreal ) @
% 29.37/4.83 c_Transcendental_Opi @ tc_RealDef_Oreal ) @
% 29.37/4.83 ( c_RealDef_Oreal @ v_n @ tc_nat ) @ tc_RealDef_Oreal ) ) ) !=
% 29.37/4.83 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ))).
% 29.37/4.83 thf(zf_stmt_0, negated_conjecture,
% 29.37/4.83 (( c_Complex_Ocomplex_OComplex @
% 29.37/4.83 ( c_Transcendental_Ocos @
% 29.37/4.83 ( c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 ( c_HOL_Otimes__class_Otimes @
% 29.37/4.83 ( c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 29.37/4.83 tc_RealDef_Oreal ) @
% 29.37/4.83 c_Transcendental_Opi @ tc_RealDef_Oreal ) @
% 29.37/4.83 ( c_RealDef_Oreal @ v_n @ tc_nat ) @ tc_RealDef_Oreal ) ) @
% 29.37/4.83 ( c_Transcendental_Osin @
% 29.37/4.83 ( c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 ( c_HOL_Otimes__class_Otimes @
% 29.37/4.83 ( c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) @
% 29.37/4.83 tc_RealDef_Oreal ) @
% 29.37/4.83 c_Transcendental_Opi @ tc_RealDef_Oreal ) @
% 29.37/4.83 ( c_RealDef_Oreal @ v_n @ tc_nat ) @ tc_RealDef_Oreal ) ) ) =
% 29.37/4.83 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex )),
% 29.37/4.83 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 29.37/4.83 thf(zip_derived_cl879, plain,
% 29.37/4.83 (((c_Complex_Ocomplex_OComplex @
% 29.37/4.83 (c_Transcendental_Ocos @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 c_Transcendental_Opi @ tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal)) @
% 29.37/4.83 (c_Transcendental_Osin @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 c_Transcendental_Opi @ tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal)))
% 29.37/4.83 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 29.37/4.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 29.37/4.83 thf(cls_real__mult__commute_0, axiom,
% 29.37/4.83 (( c_HOL_Otimes__class_Otimes @ V_z @ V_w @ tc_RealDef_Oreal ) =
% 29.37/4.83 ( c_HOL_Otimes__class_Otimes @ V_w @ V_z @ tc_RealDef_Oreal ))).
% 29.37/4.83 thf(zip_derived_cl867, plain,
% 29.37/4.83 (![X0 : $i, X1 : $i]:
% 29.37/4.83 ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_RealDef_Oreal)
% 29.37/4.83 = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_real__mult__commute_0])).
% 29.37/4.83 thf(zip_derived_cl867, plain,
% 29.37/4.83 (![X0 : $i, X1 : $i]:
% 29.37/4.83 ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_RealDef_Oreal)
% 29.37/4.83 = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_real__mult__commute_0])).
% 29.37/4.83 thf(zip_derived_cl28555, plain,
% 29.37/4.83 (((c_Complex_Ocomplex_OComplex @
% 29.37/4.83 (c_Transcendental_Ocos @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal)) @
% 29.37/4.83 (c_Transcendental_Osin @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal)))
% 29.37/4.83 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 29.37/4.83 inference('demod', [status(thm)],
% 29.37/4.83 [zip_derived_cl879, zip_derived_cl867, zip_derived_cl867])).
% 29.37/4.83 thf(cls_Complex__eq__0_0, axiom,
% 29.37/4.83 (( ( c_Complex_Ocomplex_OComplex @ V_a @ V_b ) !=
% 29.37/4.83 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 29.37/4.83 ( ( V_a ) = ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) ))).
% 29.37/4.83 thf(zip_derived_cl729, plain,
% 29.37/4.83 (![X0 : $i, X1 : $i]:
% 29.37/4.83 (((c_Complex_Ocomplex_OComplex @ X0 @ X1)
% 29.37/4.83 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 29.37/4.83 | ((X0) = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_Complex__eq__0_0])).
% 29.37/4.83 thf(zip_derived_cl28557, plain,
% 29.37/4.83 ((((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 29.37/4.83 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 29.37/4.83 | ((c_Transcendental_Ocos @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal))
% 29.37/4.83 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 29.37/4.83 inference('sup-', [status(thm)], [zip_derived_cl28555, zip_derived_cl729])).
% 29.37/4.83 thf(cls_tan__pi_0, axiom,
% 29.37/4.83 (( c_Transcendental_Otan @ c_Transcendental_Opi ) =
% 29.37/4.83 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ))).
% 29.37/4.83 thf(zip_derived_cl326, plain,
% 29.37/4.83 (((c_Transcendental_Otan @ c_Transcendental_Opi)
% 29.37/4.83 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_tan__pi_0])).
% 29.37/4.83 thf(zip_derived_cl28576, plain,
% 29.37/4.83 ((((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 29.37/4.83 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 29.37/4.83 | ((c_Transcendental_Ocos @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal))
% 29.37/4.83 = (c_Transcendental_Otan @ c_Transcendental_Opi)))),
% 29.37/4.83 inference('demod', [status(thm)],
% 29.37/4.83 [zip_derived_cl28557, zip_derived_cl326])).
% 29.37/4.83 thf(zip_derived_cl28577, plain,
% 29.37/4.83 (((c_Transcendental_Ocos @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal))
% 29.37/4.83 = (c_Transcendental_Otan @ c_Transcendental_Opi))),
% 29.37/4.83 inference('simplify', [status(thm)], [zip_derived_cl28576])).
% 29.37/4.83 thf(cls_sin__cos__squared__add3_0, axiom,
% 29.37/4.83 (( c_HOL_Oplus__class_Oplus @
% 29.37/4.83 ( c_HOL_Otimes__class_Otimes @
% 29.37/4.83 ( c_Transcendental_Ocos @ V_x ) @ ( c_Transcendental_Ocos @ V_x ) @
% 29.37/4.83 tc_RealDef_Oreal ) @
% 29.37/4.83 ( c_HOL_Otimes__class_Otimes @
% 29.37/4.83 ( c_Transcendental_Osin @ V_x ) @ ( c_Transcendental_Osin @ V_x ) @
% 29.37/4.83 tc_RealDef_Oreal ) @
% 29.37/4.83 tc_RealDef_Oreal ) =
% 29.37/4.83 ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ))).
% 29.37/4.83 thf(zip_derived_cl565, plain,
% 29.37/4.83 (![X0 : $i]:
% 29.37/4.83 ((c_HOL_Oplus__class_Oplus @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ (c_Transcendental_Ocos @ X0) @
% 29.37/4.83 (c_Transcendental_Ocos @ X0) @ tc_RealDef_Oreal) @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ (c_Transcendental_Osin @ X0) @
% 29.37/4.83 (c_Transcendental_Osin @ X0) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) = (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_sin__cos__squared__add3_0])).
% 29.37/4.83 thf(zip_derived_cl28806, plain,
% 29.37/4.83 (((c_HOL_Oplus__class_Oplus @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @
% 29.37/4.83 (c_Transcendental_Ocos @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal)) @
% 29.37/4.83 (c_Transcendental_Otan @ c_Transcendental_Opi) @ tc_RealDef_Oreal) @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @
% 29.37/4.83 (c_Transcendental_Osin @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal)) @
% 29.37/4.83 (c_Transcendental_Osin @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal)) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) = (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('sup+', [status(thm)], [zip_derived_cl28577, zip_derived_cl565])).
% 29.37/4.83 thf(zip_derived_cl28577, plain,
% 29.37/4.83 (((c_Transcendental_Ocos @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal))
% 29.37/4.83 = (c_Transcendental_Otan @ c_Transcendental_Opi))),
% 29.37/4.83 inference('simplify', [status(thm)], [zip_derived_cl28576])).
% 29.37/4.83 thf(zip_derived_cl867, plain,
% 29.37/4.83 (![X0 : $i, X1 : $i]:
% 29.37/4.83 ((c_HOL_Otimes__class_Otimes @ X1 @ X0 @ tc_RealDef_Oreal)
% 29.37/4.83 = (c_HOL_Otimes__class_Otimes @ X0 @ X1 @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_real__mult__commute_0])).
% 29.37/4.83 thf(cls_mult__eq__0__iff_2, axiom,
% 29.37/4.83 (( ~( class_Ring__and__Field_Oring__no__zero__divisors @ T_a ) ) |
% 29.37/4.83 ( ( c_HOL_Otimes__class_Otimes @
% 29.37/4.83 V_a @ ( c_HOL_Ozero__class_Ozero @ T_a ) @ T_a ) =
% 29.37/4.83 ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 29.37/4.83 thf(zip_derived_cl797, plain,
% 29.37/4.83 (![X0 : $i, X1 : $i]:
% 29.37/4.83 (~ (class_Ring__and__Field_Oring__no__zero__divisors @ X0)
% 29.37/4.83 | ((c_HOL_Otimes__class_Otimes @ X1 @
% 29.37/4.83 (c_HOL_Ozero__class_Ozero @ X0) @ X0)
% 29.37/4.83 = (c_HOL_Ozero__class_Ozero @ X0)))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_mult__eq__0__iff_2])).
% 29.37/4.83 thf(zip_derived_cl2996, plain,
% 29.37/4.83 (![X0 : $i]:
% 29.37/4.83 (((c_HOL_Otimes__class_Otimes @
% 29.37/4.83 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ X0 @
% 29.37/4.83 tc_RealDef_Oreal) = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 29.37/4.83 | ~ (class_Ring__and__Field_Oring__no__zero__divisors @
% 29.37/4.83 tc_RealDef_Oreal))),
% 29.37/4.83 inference('sup+', [status(thm)], [zip_derived_cl867, zip_derived_cl797])).
% 29.37/4.83 thf(zip_derived_cl326, plain,
% 29.37/4.83 (((c_Transcendental_Otan @ c_Transcendental_Opi)
% 29.37/4.83 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_tan__pi_0])).
% 29.37/4.83 thf(zip_derived_cl326, plain,
% 29.37/4.83 (((c_Transcendental_Otan @ c_Transcendental_Opi)
% 29.37/4.83 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_tan__pi_0])).
% 29.37/4.83 thf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors, axiom,
% 29.37/4.83 (class_Ring__and__Field_Oring__no__zero__divisors @ tc_RealDef_Oreal)).
% 29.37/4.83 thf(zip_derived_cl960, plain,
% 29.37/4.83 ( (class_Ring__and__Field_Oring__no__zero__divisors @ tc_RealDef_Oreal)),
% 29.37/4.83 inference('cnf', [status(esa)],
% 29.37/4.83 [clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors])).
% 29.37/4.83 thf(zip_derived_cl3001, plain,
% 29.37/4.83 (![X0 : $i]:
% 29.37/4.83 ((c_HOL_Otimes__class_Otimes @
% 29.37/4.83 (c_Transcendental_Otan @ c_Transcendental_Opi) @ X0 @
% 29.37/4.83 tc_RealDef_Oreal) = (c_Transcendental_Otan @ c_Transcendental_Opi))),
% 29.37/4.83 inference('demod', [status(thm)],
% 29.37/4.83 [zip_derived_cl2996, zip_derived_cl326, zip_derived_cl326,
% 29.37/4.83 zip_derived_cl960])).
% 29.37/4.83 thf(zip_derived_cl28555, plain,
% 29.37/4.83 (((c_Complex_Ocomplex_OComplex @
% 29.37/4.83 (c_Transcendental_Ocos @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal)) @
% 29.37/4.83 (c_Transcendental_Osin @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal)))
% 29.37/4.83 = (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))),
% 29.37/4.83 inference('demod', [status(thm)],
% 29.37/4.83 [zip_derived_cl879, zip_derived_cl867, zip_derived_cl867])).
% 29.37/4.83 thf(cls_Complex__eq__0_1, axiom,
% 29.37/4.83 (( ( c_Complex_Ocomplex_OComplex @ V_a @ V_b ) !=
% 29.37/4.83 ( c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) |
% 29.37/4.83 ( ( V_b ) = ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) ))).
% 29.37/4.83 thf(zip_derived_cl728, plain,
% 29.37/4.83 (![X0 : $i, X1 : $i]:
% 29.37/4.83 (((c_Complex_Ocomplex_OComplex @ X0 @ X1)
% 29.37/4.83 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 29.37/4.83 | ((X1) = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_Complex__eq__0_1])).
% 29.37/4.83 thf(zip_derived_cl28556, plain,
% 29.37/4.83 ((((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 29.37/4.83 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 29.37/4.83 | ((c_Transcendental_Osin @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal))
% 29.37/4.83 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 29.37/4.83 inference('sup-', [status(thm)], [zip_derived_cl28555, zip_derived_cl728])).
% 29.37/4.83 thf(zip_derived_cl326, plain,
% 29.37/4.83 (((c_Transcendental_Otan @ c_Transcendental_Opi)
% 29.37/4.83 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_tan__pi_0])).
% 29.37/4.83 thf(zip_derived_cl28574, plain,
% 29.37/4.83 ((((c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex)
% 29.37/4.83 != (c_HOL_Ozero__class_Ozero @ tc_Complex_Ocomplex))
% 29.37/4.83 | ((c_Transcendental_Osin @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal))
% 29.37/4.83 = (c_Transcendental_Otan @ c_Transcendental_Opi)))),
% 29.37/4.83 inference('demod', [status(thm)],
% 29.37/4.83 [zip_derived_cl28556, zip_derived_cl326])).
% 29.37/4.83 thf(zip_derived_cl28575, plain,
% 29.37/4.83 (((c_Transcendental_Osin @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal))
% 29.37/4.83 = (c_Transcendental_Otan @ c_Transcendental_Opi))),
% 29.37/4.83 inference('simplify', [status(thm)], [zip_derived_cl28574])).
% 29.37/4.83 thf(zip_derived_cl28575, plain,
% 29.37/4.83 (((c_Transcendental_Osin @
% 29.37/4.83 (c_HOL_Oinverse__class_Odivide @
% 29.37/4.83 (c_HOL_Otimes__class_Otimes @ c_Transcendental_Opi @
% 29.37/4.83 (c_Int_Onumber__class_Onumber__of @
% 29.37/4.83 (c_Int_OBit0 @ (c_Int_OBit1 @ c_Int_OPls)) @ tc_RealDef_Oreal) @
% 29.37/4.83 tc_RealDef_Oreal) @
% 29.37/4.83 (c_RealDef_Oreal @ v_n @ tc_nat) @ tc_RealDef_Oreal))
% 29.37/4.83 = (c_Transcendental_Otan @ c_Transcendental_Opi))),
% 29.37/4.83 inference('simplify', [status(thm)], [zip_derived_cl28574])).
% 29.37/4.83 thf(zip_derived_cl3001, plain,
% 29.37/4.83 (![X0 : $i]:
% 29.37/4.83 ((c_HOL_Otimes__class_Otimes @
% 29.37/4.83 (c_Transcendental_Otan @ c_Transcendental_Opi) @ X0 @
% 29.37/4.83 tc_RealDef_Oreal) = (c_Transcendental_Otan @ c_Transcendental_Opi))),
% 29.37/4.83 inference('demod', [status(thm)],
% 29.37/4.83 [zip_derived_cl2996, zip_derived_cl326, zip_derived_cl326,
% 29.37/4.83 zip_derived_cl960])).
% 29.37/4.83 thf(zip_derived_cl326, plain,
% 29.37/4.83 (((c_Transcendental_Otan @ c_Transcendental_Opi)
% 29.37/4.83 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_tan__pi_0])).
% 29.37/4.83 thf(cls_add__0__left_0, axiom,
% 29.37/4.83 (( ~( class_OrderedGroup_Omonoid__add @ T_a ) ) |
% 29.37/4.83 ( ( c_HOL_Oplus__class_Oplus @
% 29.37/4.83 ( c_HOL_Ozero__class_Ozero @ T_a ) @ V_a @ T_a ) =
% 29.37/4.83 ( V_a ) ))).
% 29.37/4.83 thf(zip_derived_cl602, plain,
% 29.37/4.83 (![X0 : $i, X1 : $i]:
% 29.37/4.83 (~ (class_OrderedGroup_Omonoid__add @ X0)
% 29.37/4.83 | ((c_HOL_Oplus__class_Oplus @ (c_HOL_Ozero__class_Ozero @ X0) @
% 29.37/4.83 X1 @ X0) = (X1)))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_add__0__left_0])).
% 29.37/4.83 thf(zip_derived_cl2449, plain,
% 29.37/4.83 (![X0 : $i]:
% 29.37/4.83 (((c_HOL_Oplus__class_Oplus @
% 29.37/4.83 (c_Transcendental_Otan @ c_Transcendental_Opi) @ X0 @
% 29.37/4.83 tc_RealDef_Oreal) = (X0))
% 29.37/4.83 | ~ (class_OrderedGroup_Omonoid__add @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('sup+', [status(thm)], [zip_derived_cl326, zip_derived_cl602])).
% 29.37/4.83 thf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add, axiom,
% 29.37/4.83 (class_OrderedGroup_Omonoid__add @ tc_RealDef_Oreal)).
% 29.37/4.83 thf(zip_derived_cl990, plain,
% 29.37/4.83 ( (class_OrderedGroup_Omonoid__add @ tc_RealDef_Oreal)),
% 29.37/4.83 inference('cnf', [status(esa)],
% 29.37/4.83 [clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add])).
% 29.37/4.83 thf(zip_derived_cl2451, plain,
% 29.37/4.83 (![X0 : $i]:
% 29.37/4.83 ((c_HOL_Oplus__class_Oplus @
% 29.37/4.83 (c_Transcendental_Otan @ c_Transcendental_Opi) @ X0 @
% 29.37/4.83 tc_RealDef_Oreal) = (X0))),
% 29.37/4.83 inference('demod', [status(thm)], [zip_derived_cl2449, zip_derived_cl990])).
% 29.37/4.83 thf(zip_derived_cl28831, plain,
% 29.37/4.83 (((c_Transcendental_Otan @ c_Transcendental_Opi)
% 29.37/4.83 = (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('demod', [status(thm)],
% 29.37/4.83 [zip_derived_cl28806, zip_derived_cl28577, zip_derived_cl3001,
% 29.37/4.83 zip_derived_cl28575, zip_derived_cl28575, zip_derived_cl3001,
% 29.37/4.83 zip_derived_cl2451])).
% 29.37/4.83 thf(cls_real__zero__not__eq__one_0, axiom,
% 29.37/4.83 (( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) !=
% 29.37/4.83 ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ))).
% 29.37/4.83 thf(zip_derived_cl776, plain,
% 29.37/4.83 (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 29.37/4.83 != (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_real__zero__not__eq__one_0])).
% 29.37/4.83 thf(cls_sin__pi_0, axiom,
% 29.37/4.83 (( c_Transcendental_Osin @ c_Transcendental_Opi ) =
% 29.37/4.83 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ))).
% 29.37/4.83 thf(zip_derived_cl730, plain,
% 29.37/4.83 (((c_Transcendental_Osin @ c_Transcendental_Opi)
% 29.37/4.83 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_sin__pi_0])).
% 29.37/4.83 thf(zip_derived_cl1034, plain,
% 29.37/4.83 (((c_Transcendental_Osin @ c_Transcendental_Opi)
% 29.37/4.83 != (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('demod', [status(thm)], [zip_derived_cl776, zip_derived_cl730])).
% 29.37/4.83 thf(zip_derived_cl730, plain,
% 29.37/4.83 (((c_Transcendental_Osin @ c_Transcendental_Opi)
% 29.37/4.83 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_sin__pi_0])).
% 29.37/4.83 thf(zip_derived_cl326, plain,
% 29.37/4.83 (((c_Transcendental_Otan @ c_Transcendental_Opi)
% 29.37/4.83 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('cnf', [status(esa)], [cls_tan__pi_0])).
% 29.37/4.83 thf(zip_derived_cl1060, plain,
% 29.37/4.83 (((c_Transcendental_Osin @ c_Transcendental_Opi)
% 29.37/4.83 = (c_Transcendental_Otan @ c_Transcendental_Opi))),
% 29.37/4.83 inference('demod', [status(thm)], [zip_derived_cl730, zip_derived_cl326])).
% 29.37/4.83 thf(zip_derived_cl1085, plain,
% 29.37/4.83 (((c_Transcendental_Otan @ c_Transcendental_Opi)
% 29.37/4.83 != (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal))),
% 29.37/4.83 inference('demod', [status(thm)],
% 29.37/4.83 [zip_derived_cl1034, zip_derived_cl1060])).
% 29.37/4.83 thf(zip_derived_cl28832, plain, ($false),
% 29.37/4.83 inference('simplify_reflect-', [status(thm)],
% 29.37/4.83 [zip_derived_cl28831, zip_derived_cl1085])).
% 29.37/4.83
% 29.37/4.83 % SZS output end Refutation
% 29.37/4.83
% 29.37/4.83
% 29.37/4.83 % Terminating...
% 29.87/4.88 % Runner terminated.
% 29.87/4.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------