TSTP Solution File: SWV686-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV686-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 21:47:45 EDT 2023
% Result : Unsatisfiable 199.63s 200.63s
% Output : CNFRefutation 199.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 101
% Syntax : Number of formulae : 124 ( 25 unt; 88 typ; 0 def)
% Number of atoms : 54 ( 28 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 43 ( 25 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 120 ( 82 >; 38 *; 0 +; 0 <<)
% Number of predicates : 65 ( 63 usr; 1 prp; 0-5 aty)
% Number of functors : 25 ( 25 usr; 6 con; 0-5 aty)
% Number of variables : 85 ( 33 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_23,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_24,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_25,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_26,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
tc_nat: $i ).
tff(decl_28,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_29,type,
c_Suc: $i > $i ).
tff(decl_30,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_31,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_32,type,
c_COMBB: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
c_HOL_Otimes__class_Otimes: $i > $i ).
tff(decl_34,type,
c_COMBS: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
c_HOL_Oplus__class_Oplus: $i > $i ).
tff(decl_36,type,
c_Deriv_Oderiv: ( $i * $i * $i * $i ) > $o ).
tff(decl_37,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_38,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_39,type,
c_COMBC: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
c_HOL_Oinverse__class_Odivide: $i > $i ).
tff(decl_41,type,
c_HOL_Ominus__class_Ominus: $i > $i ).
tff(decl_42,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_43,type,
class_Power_Opower: $i > $o ).
tff(decl_44,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_45,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_46,type,
tc_Complex_Ocomplex: $i ).
tff(decl_47,type,
c_FFT__Mirabelle_Oroot: $i > $i ).
tff(decl_48,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_49,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_50,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_51,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_52,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_53,type,
c_COMBI: $i > $i ).
tff(decl_54,type,
c_Deriv_Odifferentiable: ( $i * $i * $i ) > $o ).
tff(decl_55,type,
class_RealVector_Ometric__space: $i > $o ).
tff(decl_56,type,
c_Lim_OLIM: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_57,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_58,type,
c_Series_Osums: ( $i * $i * $i ) > $o ).
tff(decl_59,type,
tc_bool: $i ).
tff(decl_60,type,
c_Finite__Set_Osetsum: ( $i * $i ) > $i ).
tff(decl_61,type,
c_SetInterval_Oord__class_OatLeastLessThan: ( $i * $i ) > $i ).
tff(decl_62,type,
c_SEQ_OLIMSEQ: ( $i * $i * $i ) > $o ).
tff(decl_63,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_64,type,
c_Series_Osuminf: ( $i * $i ) > $i ).
tff(decl_65,type,
c_Series_Osummable: ( $i * $i ) > $o ).
tff(decl_66,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_67,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_68,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_69,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_70,type,
class_HOL_Oinverse: $i > $o ).
tff(decl_71,type,
c_SEQ_OZseq: ( $i * $i ) > $o ).
tff(decl_72,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_73,type,
c_Limits_Otendsto: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_74,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_75,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_76,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_77,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_78,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_79,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_80,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_81,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_82,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_83,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_84,type,
c_SEQ_OCauchy: ( $i * $i ) > $o ).
tff(decl_85,type,
v_i: $i ).
tff(decl_86,type,
v_n: $i ).
tff(decl_87,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_88,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_89,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_90,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_91,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_92,type,
hBOOL: $i > $o ).
tff(decl_93,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_94,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_95,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_96,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_97,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_98,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_99,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_100,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(decl_101,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_102,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_103,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_104,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_105,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_106,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_107,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_108,type,
v_a: $i ).
tff(decl_109,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| X2 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__ringb_Oadd__r0__iff_0) ).
cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Oone__class_Oone(X1))),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I2_J_0) ).
cnf(cls_mult__1__right_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Oone__class_Oone(X1)) = X2
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__1__right_0) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).
cnf(cls_one__neq__zero_0,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_one__neq__zero_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one) ).
cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Int_Onumber__ring) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).
cnf(cls_COMBS__def_0,axiom,
hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBS__def_0) ).
cnf(cls_COMBB__def_0,axiom,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBB__def_0) ).
cnf(cls_COMBI__def_0,axiom,
hAPP(c_COMBI(X1),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBI__def_0) ).
cnf(c_0_13,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| X2 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) ),
cls_class__ringb_Oadd__r0__iff_0 ).
cnf(c_0_14,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Oone__class_Oone(X1))),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I2_J_0 ).
cnf(c_0_15,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Oone__class_Oone(X1)) = X2
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
cls_mult__1__right_0 ).
cnf(c_0_16,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult ).
cnf(c_0_17,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_one__neq__zero_0 ).
cnf(c_0_18,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one ).
cnf(c_0_19,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),c_HOL_Oone__class_Oone(X2))),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Int_Onumber__ring ).
cnf(c_0_22,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Oidom ).
cnf(c_0_23,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_24,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,axiom,
( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I24_J_0 ).
cnf(c_0_26,plain,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),X1),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) != X1,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_27,plain,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),X2),X1),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
cnf(c_0_28,axiom,
hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
cls_COMBS__def_0 ).
cnf(c_0_29,axiom,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
cls_COMBB__def_0 ).
cnf(c_0_30,plain,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),X1) != X1,
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
hAPP(c_COMBS(hAPP(c_COMBB(X1,X2,X3),X4),X5,X6,X7,X8),X9) = hAPP(X4,hAPP(X9,hAPP(X5,X9))),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
hAPP(c_COMBS(hAPP(c_COMBB(X1,X2,X3),hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))),X4,X5,X6,X7),X8) != hAPP(X8,hAPP(X4,X8)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,axiom,
hAPP(c_COMBI(X1),X2) = X2,
cls_COMBI__def_0 ).
cnf(c_0_34,plain,
hAPP(c_COMBS(hAPP(c_COMBB(X1,X2,X3),hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))),c_COMBI(X4),X5,X6,X7),X8) != hAPP(X8,X8),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_35,plain,
$false,
inference(er,[status(thm)],[c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWV686-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Aug 29 05:47:46 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.15/0.48 start to proof: theBenchmark
% 199.63/200.63 % Version : CSE_E---1.5
% 199.63/200.63 % Problem : theBenchmark.p
% 199.63/200.63 % Proof found
% 199.63/200.63 % SZS status Theorem for theBenchmark.p
% 199.63/200.63 % SZS output start Proof
% See solution above
% 199.63/200.63 % Total time : 199.146000 s
% 199.63/200.63 % SZS output end Proof
% 199.63/200.63 % Total time : 199.172000 s
%------------------------------------------------------------------------------