TSTP Solution File: SWV693-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV693-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %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 23:29:17 EDT 2023
% Result : Unsatisfiable 135.72s 20.01s
% Output : Refutation 135.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 35 ( 28 unt; 0 def)
% Number of atoms : 45 ( 24 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 16 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 7 con; 0-5 aty)
% Number of variables : 38 (; 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f724141,plain,
$false,
inference(trivial_inequality_removal,[],[f724140]) ).
fof(f724140,plain,
hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Obot__class_Obot(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat)) != hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Obot__class_Obot(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat)),
inference(backward_demodulation,[],[f526515,f724107]) ).
fof(f724107,plain,
c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat) = c_Set_Oinsert(v_i,c_SetInterval_Oord__class_OgreaterThanLessThan(v_i,v_n,tc_nat),tc_nat),
inference(unit_resulting_resolution,[],[f1356,f1311,f1488]) ).
fof(f1488,plain,
! [X28,X29,X5] :
( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X29,X5),X28))
| ~ class_Orderings_Olinorder(X5)
| c_SetInterval_Oord__class_OatLeastLessThan(X29,X28,X5) = c_Set_Oinsert(X29,c_SetInterval_Oord__class_OgreaterThanLessThan(X29,X28,X5),X5) ),
inference(forward_demodulation,[],[f1194,f1307]) ).
fof(f1307,axiom,
! [X6,X5,X25] : c_Set_Oinsert(X6,X25,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X25,tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',cls_insert__is__Un_0) ).
fof(f1194,axiom,
! [X28,X29,X5] :
( ~ class_Orderings_Olinorder(X5)
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X29,X5),X28))
| c_SetInterval_Oord__class_OatLeastLessThan(X29,X28,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X29,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),c_SetInterval_Oord__class_OgreaterThanLessThan(X29,X28,X5),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',cls_ivl__disj__un_I3_J_0) ).
fof(f1311,axiom,
hBOOL(hAPP(c_HOL_Oord__class_Oless(v_i,tc_nat),v_n)),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',cls_CHAINED_0) ).
fof(f1356,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',clsarity_nat__Orderings_Olinorder) ).
fof(f526515,plain,
hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Obot__class_Obot(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat)) != hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Obot__class_Obot(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_Set_Oinsert(v_i,c_SetInterval_Oord__class_OgreaterThanLessThan(v_i,v_n,tc_nat),tc_nat)),
inference(backward_demodulation,[],[f2182,f526514]) ).
fof(f526514,plain,
! [X14,X15] : c_Set_Oinsert(X14,X15,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(X15,c_SetInterval_Oord__class_OatLeastLessThan(X14,hAPP(c_Suc,X14),tc_nat),tc_fun(tc_nat,tc_bool)),
inference(forward_demodulation,[],[f526469,f180068]) ).
fof(f180068,plain,
! [X6] : c_Lattices_Oupper__semilattice__class_Osup(X6,c_SetInterval_Oord__class_OgreaterThanLessThan(v_n,v_i,tc_nat),tc_fun(tc_nat,tc_bool)) = X6,
inference(superposition,[],[f1257,f179609]) ).
fof(f179609,plain,
c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanLessThan(v_n,v_i,tc_nat),
inference(forward_demodulation,[],[f179574,f1119]) ).
fof(f1119,axiom,
! [X28,X29] : c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,X29),X28,tc_nat) = c_SetInterval_Oord__class_OgreaterThanLessThan(X29,X28,tc_nat),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',cls_atLeastSucLessThan__greaterThanLessThan_0) ).
fof(f179574,plain,
c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,v_n),v_i,tc_nat),
inference(unit_resulting_resolution,[],[f1358,f7909,f1003]) ).
fof(f1003,axiom,
! [X6,X7,X5] :
( ~ hBOOL(hAPP(c_lessequals(X7,X5),X6))
| ~ class_Orderings_Oorder(X5)
| c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X6,X7,X5) ),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',cls_atLeastLessThan__empty_0) ).
fof(f7909,plain,
hBOOL(hAPP(c_lessequals(v_i,tc_nat),hAPP(c_Suc,v_n))),
inference(unit_resulting_resolution,[],[f7892,f540]) ).
fof(f540,axiom,
! [X11,X12] :
( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X11,tc_nat),X12))
| hBOOL(hAPP(c_lessequals(X11,tc_nat),X12)) ),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',cls_termination__basic__simps_I5_J_0) ).
fof(f7892,plain,
hBOOL(hAPP(c_HOL_Oord__class_Oless(v_i,tc_nat),hAPP(c_Suc,v_n))),
inference(unit_resulting_resolution,[],[f1311,f4]) ).
fof(f4,axiom,
! [X2,X1] :
( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(c_Suc,X2)))
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',cls_less__SucI_0) ).
fof(f1358,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',clsarity_nat__Orderings_Oorder) ).
fof(f1257,axiom,
! [X5,X25] : c_Lattices_Oupper__semilattice__class_Osup(X25,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = X25,
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',cls_Un__empty__right_0) ).
fof(f526469,plain,
! [X14,X15] : c_Lattices_Oupper__semilattice__class_Osup(X15,c_SetInterval_Oord__class_OatLeastLessThan(X14,hAPP(c_Suc,X14),tc_nat),tc_fun(tc_nat,tc_bool)) = c_Set_Oinsert(X14,c_Lattices_Oupper__semilattice__class_Osup(X15,c_SetInterval_Oord__class_OgreaterThanLessThan(v_n,v_i,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat),
inference(superposition,[],[f1222,f179613]) ).
fof(f179613,plain,
! [X1] : c_SetInterval_Oord__class_OatLeastLessThan(X1,hAPP(c_Suc,X1),tc_nat) = c_Set_Oinsert(X1,c_SetInterval_Oord__class_OgreaterThanLessThan(v_n,v_i,tc_nat),tc_nat),
inference(backward_demodulation,[],[f1182,f179609]) ).
fof(f1182,axiom,
! [X1] : c_SetInterval_Oord__class_OatLeastLessThan(X1,hAPP(c_Suc,X1),tc_nat) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',cls_atLeastLessThan__singleton_0) ).
fof(f1222,axiom,
! [X6,X26,X5,X25] : c_Lattices_Oupper__semilattice__class_Osup(X25,c_Set_Oinsert(X6,X26,X5),tc_fun(X5,tc_bool)) = c_Set_Oinsert(X6,c_Lattices_Oupper__semilattice__class_Osup(X25,X26,tc_fun(X5,tc_bool)),X5),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',cls_Un__insert__right_0) ).
fof(f2182,plain,
hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Obot__class_Obot(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat)) != hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_Orderings_Obot__class_Obot(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanLessThan(v_i,v_n,tc_nat),c_SetInterval_Oord__class_OatLeastLessThan(v_i,hAPP(c_Suc,v_i),tc_nat),tc_fun(tc_nat,tc_bool))),
inference(backward_demodulation,[],[f1474,f2076]) ).
fof(f2076,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = c_Orderings_Obot__class_Obot(tc_nat),
inference(unit_resulting_resolution,[],[f1677,f886]) ).
fof(f886,axiom,
! [X2] :
( ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)))
| c_HOL_Ozero__class_Ozero(tc_nat) = X2 ),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',cls_le__0__eq_0) ).
fof(f1677,plain,
! [X0] : hBOOL(hAPP(c_lessequals(c_Orderings_Obot__class_Obot(tc_nat),tc_nat),X0)),
inference(unit_resulting_resolution,[],[f1359,f901]) ).
fof(f901,axiom,
! [X11,X5] :
( hBOOL(hAPP(c_lessequals(c_Orderings_Obot__class_Obot(X5),X5),X11))
| ~ class_Orderings_Obot(X5) ),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',cls_bot__least_0) ).
fof(f1359,axiom,
class_Orderings_Obot(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',clsarity_nat__Orderings_Obot) ).
fof(f1474,plain,
hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat)) != hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanLessThan(v_i,v_n,tc_nat),c_SetInterval_Oord__class_OatLeastLessThan(v_i,hAPP(c_Suc,v_i),tc_nat),tc_fun(tc_nat,tc_bool))),
inference(backward_demodulation,[],[f1473,f1182]) ).
fof(f1473,plain,
hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat)) != hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanLessThan(v_i,v_n,tc_nat),c_Set_Oinsert(v_i,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_fun(tc_nat,tc_bool))),
inference(backward_demodulation,[],[f1312,f1305]) ).
fof(f1305,axiom,
! [X26,X5,X25] : c_Lattices_Oupper__semilattice__class_Osup(X25,X26,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X26,X25,tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',cls_Un__commute_0) ).
fof(f1312,axiom,
hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat)) != hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_i,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_i,v_n,tc_nat),tc_fun(tc_nat,tc_bool))),
file('/export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.23 % Problem : SWV693-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.25 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.25/0.44 % Computer : n032.cluster.edu
% 0.25/0.44 % Model : x86_64 x86_64
% 0.25/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.44 % Memory : 8042.1875MB
% 0.25/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.25/0.44 % CPULimit : 300
% 0.25/0.44 % WCLimit : 300
% 0.25/0.44 % DateTime : Tue Aug 29 10:45:46 EDT 2023
% 0.25/0.45 % CPUTime :
% 0.25/0.45 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.25/0.45 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.3RzwJ4NqRg/Vampire---4.8_21297
% 0.25/0.45 % (21412)Running in auto input_syntax mode. Trying TPTP
% 0.31/0.56 % (21418)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.31/0.57 % (21417)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.31/0.57 % (21415)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.31/0.57 % (21414)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.31/0.58 % (21420)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.31/0.58 % (21416)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.31/0.59 % (21419)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 135.56/19.96 % (21419)First to succeed.
% 135.72/20.01 % (21419)Refutation found. Thanks to Tanya!
% 135.72/20.01 % SZS status Unsatisfiable for Vampire---4
% 135.72/20.01 % SZS output start Proof for Vampire---4
% See solution above
% 135.72/20.01 % (21419)------------------------------
% 135.72/20.01 % (21419)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 135.72/20.01 % (21419)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 135.72/20.01 % (21419)Termination reason: Refutation
% 135.72/20.01
% 135.72/20.01 % (21419)Memory used [KB]: 483318
% 135.72/20.01 % (21419)Time elapsed: 19.393 s
% 135.72/20.01 % (21419)------------------------------
% 135.72/20.01 % (21419)------------------------------
% 135.72/20.01 % (21412)Success in time 19.469 s
% 135.72/20.01 % Vampire---4.8 exiting
%------------------------------------------------------------------------------