TSTP Solution File: SWV632-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV632-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 Aug 31 21:47:35 EDT 2023
% Result : Unsatisfiable 149.40s 149.51s
% Output : CNFRefutation 149.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 106
% Syntax : Number of formulae : 114 ( 11 unt; 101 typ; 0 def)
% Number of atoms : 15 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 119 ( 92 >; 27 *; 0 +; 0 <<)
% Number of predicates : 75 ( 73 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 9 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_23,type,
c_Ring__and__Field_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_25,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(decl_28,type,
tc_nat: $i ).
tff(decl_29,type,
c_Parity_Oeven__odd__class_Oeven: ( $i * $i ) > $o ).
tff(decl_30,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_31,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_33,type,
c_Suc: $i > $i ).
tff(decl_34,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_36,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_38,type,
class_Ring__and__Field_Opordered__ring__abs: $i > $o ).
tff(decl_39,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_42,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_43,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_44,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_45,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_46,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_47,type,
class_Int_Onumber: $i > $o ).
tff(decl_48,type,
c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i ).
tff(decl_50,type,
c_HOL_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(decl_51,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_52,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_53,type,
class_Power_Opower: $i > $o ).
tff(decl_54,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_55,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_56,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_57,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_58,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_59,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(decl_60,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_61,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_62,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_63,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_64,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_65,type,
class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).
tff(decl_66,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_67,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_68,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_70,type,
tc_Int_Oint: $i ).
tff(decl_71,type,
class_Ring__and__Field_Ocomm__ring__1: $i > $o ).
tff(decl_72,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_73,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_74,type,
class_Ring__and__Field_Oabs__if: $i > $o ).
tff(decl_75,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_76,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(decl_77,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_78,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_79,type,
class_Ring__and__Field_Odivision__ring: $i > $o ).
tff(decl_80,type,
c_Int_OMin: $i ).
tff(decl_81,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_82,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_83,type,
class_Ring__and__Field_Odvd: $i > $o ).
tff(decl_84,type,
class_Ring__and__Field_Ocomm__ring: $i > $o ).
tff(decl_85,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_86,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_87,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_88,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_89,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_90,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(decl_91,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_92,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_93,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(decl_94,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_95,type,
c_FFT__Mirabelle_Oroot: $i > $i ).
tff(decl_96,type,
tc_Complex_Ocomplex: $i ).
tff(decl_97,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_98,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_99,type,
c_Int_Oiszero: ( $i * $i ) > $o ).
tff(decl_100,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_101,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_102,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_103,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_104,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_105,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_106,type,
c_Int_OPls: $i ).
tff(decl_107,type,
c_Int_OBit1: $i > $i ).
tff(decl_108,type,
c_Int_OBit0: $i > $i ).
tff(decl_109,type,
c_Complex_Oii: $i ).
tff(decl_110,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_111,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_112,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_113,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_114,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(decl_115,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_116,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_117,type,
c_Parity_Osko__Parity__Xeven__mult__two__ex__1__1: $i > $i ).
tff(decl_118,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_119,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_120,type,
v_m: $i ).
tff(decl_121,type,
v_i: $i ).
tff(decl_122,type,
v_j: $i ).
cnf(cls_conjecture_0,negated_conjecture,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_m),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_nat__mult__2_0,axiom,
c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__2_0) ).
cnf(cls_add__mult__distrib2_0,axiom,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__mult__distrib2_0) ).
cnf(cls_root__cancel_0,axiom,
( c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X2),X3,tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_root__cancel_0) ).
cnf(cls_pos2_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pos2_0) ).
cnf(c_0_5,negated_conjecture,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_m),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_Complex_Ocomplex),
cls_conjecture_0 ).
cnf(c_0_6,axiom,
c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),
cls_nat__mult__2_0 ).
cnf(c_0_7,axiom,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
cls_add__mult__distrib2_0 ).
cnf(c_0_8,axiom,
( c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X2),X3,tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
cls_root__cancel_0 ).
cnf(c_0_9,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),
cls_pos2_0 ).
cnf(c_0_10,negated_conjecture,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oplus__class_Oplus(v_m,v_m,tc_nat)),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_m),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_Complex_Ocomplex),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_6]),c_0_7]) ).
cnf(c_0_11,plain,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat)),c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X2,tc_Complex_Ocomplex),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_6]),c_0_6]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV632-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.17/0.34 % Computer : n019.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Aug 29 06:13:58 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 149.40/149.51 % Version : CSE_E---1.5
% 149.40/149.51 % Problem : theBenchmark.p
% 149.40/149.51 % Proof found
% 149.40/149.51 % SZS status Theorem for theBenchmark.p
% 149.40/149.51 % SZS output start Proof
% See solution above
% 149.40/149.52 % Total time : 148.929000 s
% 149.40/149.52 % SZS output end Proof
% 149.40/149.52 % Total time : 148.961000 s
%------------------------------------------------------------------------------