TSTP Solution File: SWV629-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV629-1 : 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 : 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 : Thu Aug 31 21:47:34 EDT 2023
% Result : Unsatisfiable 0.17s 0.58s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 55
% Syntax : Number of formulae : 60 ( 7 unt; 51 typ; 0 def)
% Number of atoms : 11 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 69 ( 48 >; 21 *; 0 +; 0 <<)
% Number of predicates : 35 ( 33 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
tc_nat: $i ).
tff(decl_23,type,
c_GCD_Ogcd__class_Ogcd: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
c_GCD_Ogcd__class_Olcm: ( $i * $i * $i ) > $i ).
tff(decl_25,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_26,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_27,type,
c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
c_Ring__and__Field_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_31,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_32,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_34,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_35,type,
c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(decl_36,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_37,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_38,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_39,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_40,type,
class_Power_Opower: $i > $o ).
tff(decl_41,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_42,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_43,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_45,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_46,type,
c_HOL_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(decl_47,type,
class_Ring__and__Field_Odivision__ring: $i > $o ).
tff(decl_48,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_49,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_50,type,
c_HOL_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(decl_51,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_52,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_53,type,
c_Fact_Ofact__class_Ofact: ( $i * $i ) > $i ).
tff(decl_54,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_55,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_56,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_57,type,
class_Ring__and__Field_Odvd: $i > $o ).
tff(decl_58,type,
tc_Complex_Ocomplex: $i ).
tff(decl_59,type,
c_Complex_Ocnj: $i > $i ).
tff(decl_60,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(decl_61,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_62,type,
c_Parity_Oeven__odd__class_Oeven: ( $i * $i ) > $o ).
tff(decl_63,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_64,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_65,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_66,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_67,type,
c_Int_Oiszero: ( $i * $i ) > $o ).
tff(decl_68,type,
class_Ring__and__Field_Osgn__if: $i > $o ).
tff(decl_69,type,
c_Complex_Oii: $i ).
tff(decl_70,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_71,type,
c_FFT__Mirabelle_Oroot: $i > $i ).
tff(decl_72,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
cnf(cls_root__unity_0,axiom,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X1,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_root__unity_0) ).
cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom,
( c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I33_J_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_4,axiom,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X1,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
cls_root__unity_0 ).
cnf(c_0_5,axiom,
( c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I33_J_0 ).
cnf(c_0_6,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_7,negated_conjecture,
c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
cls_conjecture_0 ).
cnf(c_0_8,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6])]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV629-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n017.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 29 08:05:13 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.17/0.54 start to proof: theBenchmark
% 0.17/0.58 % Version : CSE_E---1.5
% 0.17/0.58 % Problem : theBenchmark.p
% 0.17/0.58 % Proof found
% 0.17/0.58 % SZS status Theorem for theBenchmark.p
% 0.17/0.58 % SZS output start Proof
% See solution above
% 0.17/0.58 % Total time : 0.020000 s
% 0.17/0.58 % SZS output end Proof
% 0.17/0.58 % Total time : 0.030000 s
%------------------------------------------------------------------------------