%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV621-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:26:08 PM UTC 2026
% Result : Unsatisfiable 14.73s 5.37s
% Output : Refutation 14.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 21
% Syntax : Number of formulae : 87 ( 42 unt; 1 def)
% Number of atoms : 154 ( 69 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 113 ( 46 ~; 66 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 2 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-4 aty)
% Number of variables : 80 ( 0 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f43,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Odivision__ring(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inverse__inverse__eq_0) ).
fof(f243,axiom,
! [X0,X1] :
( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
| hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neqE__nat_0) ).
fof(f244,plain,
! [X0,X1] :
( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
| hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
| X0 = X1 ),
inference(reorient_equations,[],[f243]) ).
fof(f731,axiom,
! [X0] : ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__not__refl_0) ).
fof(f799,axiom,
! [X2,X0,X1] :
( ~ class_Orderings_Opreorder(X0)
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__asym_0) ).
fof(f852,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Oinverse(X1,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inverse__eq__divide_0) ).
fof(f858,axiom,
! [X0] : c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_SetInterval_Oord__class_OlessThan(X0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeast0LessThan_0) ).
fof(f860,axiom,
hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),v_k)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_k_I1_J_0) ).
fof(f861,axiom,
hBOOL(hAPP(c_HOL_Oord__class_Oless(v_k,tc_nat),v_n)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_k_I2_J_0) ).
fof(f887,axiom,
! [X0,X1] :
( c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_root__summation_0) ).
fof(f888,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat,tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
inference(reorient_equations,[],[f887]) ).
fof(f891,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__divide__eq_2) ).
fof(f901,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__1_0) ).
fof(f922,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_0) ).
fof(f923,plain,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ominus__class_Ominus(X1,X1,X0) ),
inference(reorient_equations,[],[f922]) ).
fof(f931,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),hAPP(c_Power_Opower__class_Opower(X1,X0),X2),X0) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__one__over_0) ).
fof(f957,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(X1,X0),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(X1,X0),X2),c_HOL_Oone__class_Oone(X0),X0),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(X0),X0),X0)
| X1 = c_HOL_Oone__class_Oone(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_geometric__sum_0) ).
fof(f958,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(X1,X0),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(X1,X0),X2),c_HOL_Oone__class_Oone(X0),X0),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(X0),X0),X0)
| c_HOL_Oone__class_Oone(X0) = X1 ),
inference(reorient_equations,[],[f957]) ).
fof(f959,negated_conjecture,
c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat),tc_nat,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f984,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
fof(f1040,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).
fof(f1046,axiom,
class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring) ).
fof(f1052,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).
fof(f1057,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
fof(f1096,plain,
! [X0,X1] :
( class_Ring__and__Field_Odivision__ring(X0)
| class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f1196,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f244]) ).
fof(f1416,plain,
! [X0] : hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X0)),
inference(consistent_polarity_flipping,[],[f731]) ).
fof(f1462,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
| hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1))
| class_Orderings_Opreorder(X0) ),
inference(consistent_polarity_flipping,[],[f799]) ).
fof(f1487,plain,
! [X0,X1] :
( class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Oinverse(X1,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) ),
inference(consistent_polarity_flipping,[],[f852]) ).
fof(f1490,plain,
~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),v_k)),
inference(consistent_polarity_flipping,[],[f860]) ).
fof(f1491,plain,
~ hBOOL(hAPP(c_HOL_Oord__class_Oless(v_k,tc_nat),v_n)),
inference(consistent_polarity_flipping,[],[f861]) ).
fof(f1502,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),tc_nat,tc_Complex_Ocomplex)
| hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
| hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
inference(consistent_polarity_flipping,[],[f888]) ).
fof(f1504,plain,
! [X0,X1] :
( class_Ring__and__Field_Ofield(X0)
| class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
inference(consistent_polarity_flipping,[],[f891]) ).
fof(f1508,plain,
! [X0,X1] :
( class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
inference(consistent_polarity_flipping,[],[f901]) ).
fof(f1516,plain,
! [X0,X1] :
( class_OrderedGroup_Oab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ominus__class_Ominus(X1,X1,X0) ),
inference(consistent_polarity_flipping,[],[f923]) ).
fof(f1521,plain,
! [X2,X0,X1] :
( class_Ring__and__Field_Ofield(X0)
| class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),hAPP(c_Power_Opower__class_Opower(X1,X0),X2),X0) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0),X2) ),
inference(consistent_polarity_flipping,[],[f931]) ).
fof(f1535,plain,
! [X2,X0,X1] :
( class_Ring__and__Field_Ofield(X0)
| c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(X1,X0),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(X1,X0),X2),c_HOL_Oone__class_Oone(X0),X0),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(X0),X0),X0)
| c_HOL_Oone__class_Oone(X0) = X1 ),
inference(consistent_polarity_flipping,[],[f958]) ).
fof(f1546,plain,
~ class_Orderings_Opreorder(tc_nat),
inference(consistent_polarity_flipping,[],[f984]) ).
fof(f1572,plain,
~ class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
inference(consistent_polarity_flipping,[],[f1040]) ).
fof(f1574,plain,
~ class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
inference(consistent_polarity_flipping,[],[f1046]) ).
fof(f1578,plain,
~ class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
inference(consistent_polarity_flipping,[],[f1052]) ).
fof(f1581,plain,
~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
inference(consistent_polarity_flipping,[],[f1057]) ).
fof(f1655,plain,
! [X0] : c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(resolution,[],[f1508,f1581]) ).
fof(f1657,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex),
inference(resolution,[],[f1516,f1578]) ).
fof(f1715,plain,
! [X0] :
( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0 ),
inference(resolution,[],[f1096,f1574]) ).
fof(f1716,plain,
! [X0] : c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X0,
inference(forward_subsumption_resolution,[],[f1715,f1572]) ).
fof(f1737,plain,
! [X0] : c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(resolution,[],[f1487,f1581]) ).
fof(f1820,plain,
! [X0] :
( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolution,[],[f1504,f1581]) ).
fof(f1821,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[],[f1820,f1572]) ).
fof(f2188,plain,
( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),v_k))
| class_Orderings_Opreorder(tc_nat) ),
inference(resolution,[],[f1462,f1491]) ).
fof(f2191,plain,
hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),v_k)),
inference(forward_subsumption_resolution,[],[f2188,f1546]) ).
fof(f2415,definition,
( spl0_11
<=> v_n = v_k ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f2416,plain,
( v_n != v_k
| spl0_11 ),
inference(avatar_component_clause,[],[f2415]) ).
fof(f2417,plain,
( v_n = v_k
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f2415]) ).
fof(f2462,plain,
( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),v_n))
| ~ spl0_11 ),
inference(superposition,[],[f1491,f2417]) ).
fof(f2468,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f2462,f1416]) ).
fof(f2469,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f2468]) ).
fof(f4843,plain,
! [X0,X1] :
( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1) ),
inference(resolution,[],[f1521,f1581]) ).
fof(f4844,plain,
! [X0,X1] : c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1),
inference(forward_subsumption_resolution,[],[f4843,f1572]) ).
fof(f6176,plain,
c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat),tc_nat,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f959,f1737]) ).
fof(f6179,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f6176,f858]) ).
fof(f7656,plain,
! [X0,X1] :
( hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
| hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(X0,tc_nat),tc_nat,tc_Complex_Ocomplex) ),
inference(forward_demodulation,[],[f1502,f858]) ).
fof(f7663,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),tc_Complex_Ocomplex),X0),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(X1,tc_nat),tc_nat,tc_Complex_Ocomplex)
| hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
| X0 = X1 ),
inference(resolution,[],[f7656,f1196]) ).
fof(f7834,plain,
! [X2,X0,X1] :
( class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(X1,X0),X2),c_HOL_Oone__class_Oone(X0),X0),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(X0),X0),X0) = c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(X1,X0),c_SetInterval_Oord__class_OlessThan(X2,tc_nat),tc_nat,X0)
| c_HOL_Oone__class_Oone(X0) = X1 ),
inference(forward_demodulation,[],[f1535,f858]) ).
fof(f7835,plain,
! [X0,X1] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X1),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(X1,tc_nat),tc_nat,tc_Complex_Ocomplex)
| c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = X0 ),
inference(resolution,[],[f7834,f1581]) ).
fof(f34642,plain,
! [X0,X1] : hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(c_Power_Opower__class_Opower(X0,tc_Complex_Ocomplex),X1),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f4844,f1737]) ).
fof(f110869,plain,
( c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat),tc_nat,tc_Complex_Ocomplex) != c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)
| c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k) ),
inference(superposition,[],[f959,f7835]) ).
fof(f118812,plain,
( c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat),tc_nat,tc_Complex_Ocomplex) != c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)
| c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k) ),
inference(forward_demodulation,[],[f110869,f1737]) ).
fof(f119042,plain,
( c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex) != c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)
| c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k) ),
inference(forward_demodulation,[],[f118812,f858]) ).
fof(f119043,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),
inference(trivial_inequality_removal,[],[f119042]) ).
fof(f119086,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),
inference(forward_demodulation,[],[f119043,f1737]) ).
fof(f119454,plain,
c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f6179,f119086]) ).
fof(f119473,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_k),
inference(superposition,[],[f34642,f119086]) ).
fof(f119476,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k),
inference(forward_demodulation,[],[f119473,f1716]) ).
fof(f119489,plain,
c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_n),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f119454,f1657]) ).
fof(f119491,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k),
inference(forward_demodulation,[],[f119476,f1655]) ).
fof(f119497,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f119489,f1821]) ).
fof(f137735,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)
| hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),v_k))
| v_n = v_k ),
inference(resolution,[],[f7663,f2191]) ).
fof(f137746,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)
| v_n = v_k ),
inference(forward_subsumption_resolution,[],[f137735,f1490]) ).
fof(f137812,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(hAPP(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),tc_Complex_Ocomplex),v_k),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f137746,f2416]) ).
fof(f137853,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Finite__Set_Osetsum(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OlessThan(v_n,tc_nat),tc_nat,tc_Complex_Ocomplex)
| spl0_11 ),
inference(forward_demodulation,[],[f137812,f119491]) ).
fof(f137895,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f137853,f119497]) ).
fof(f137896,plain,
spl0_11,
inference(avatar_contradiction_clause,[],[f137895]) ).
cnf(s12,plain,
~ spl0_11,
inference(sat_conversion,[],[f2469]) ).
cnf(s2311,plain,
spl0_11,
inference(sat_conversion,[],[f137896]) ).
cnf(s2432,plain,
$false,
inference(rat,[],[s12,s2311]) ).
fof(f137898,plain,
$false,
inference(avatar_sat_refutation,[],[s2432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV621-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n008.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 12:04:24 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.74/1.78 % (2205668)Will run a generic schedule for satisfiability detection.
% 8.74/1.78 % (2205678)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2513445126:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.74/1.78 % (2205674)% WARNING: option uhcvi not known.
% 8.74/1.78 % (2205673)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3933868521_2999 on theBenchmark for (2999ds/0Mi)
% 8.74/1.78 % (2205674)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=542269680:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.74/1.78 % (2205675)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1887070105:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.74/1.78 % (2205676)dis+10_1_sil=32000:sp=arity:random_seed=841719740:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.74/1.78 % (2205677)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2915599005:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.74/1.78 % (2205679)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4104714390:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.74/1.78 % (2205678)Instruction limit reached!
% 8.74/1.78 % (2205678)------------------------------
% 8.74/1.78 % (2205678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.74/1.78 % (2205678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/1.78 % (2205678)CaDiCaL version: 2.1.3
% 8.74/1.78 % (2205678)Termination reason: Instruction limit
% 8.74/1.78 % (2205678)Termination phase: Saturation
% 8.74/1.78 % (2205678)Time elapsed: 0.045 s
% 8.74/1.78 % (2205678)Peak memory usage: 14 MB
% 8.74/1.78 % (2205678)Instructions burned: 135 (million)
% 8.74/1.78 % (2205687)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3644160163:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.74/1.78 % (2205676)Instruction limit reached!
% 8.74/1.78 % (2205676)------------------------------
% 8.74/1.78 % (2205676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.74/1.78 % (2205676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/1.78 % (2205676)CaDiCaL version: 2.1.3
% 8.74/1.78 % (2205676)Termination reason: Instruction limit
% 8.74/1.78 % (2205676)Termination phase: Saturation
% 8.74/1.78 % (2205676)Time elapsed: 0.068 s
% 8.74/1.78 % (2205676)Peak memory usage: 13 MB
% 8.74/1.78 % (2205676)Instructions burned: 103 (million)
% 8.74/1.78 % (2205677)Instruction limit reached!
% 8.74/1.78 % (2205677)------------------------------
% 8.74/1.78 % (2205677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.74/1.78 % (2205677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/1.78 % (2205677)CaDiCaL version: 2.1.3
% 8.74/1.78 % (2205677)Termination reason: Instruction limit
% 8.74/1.78 % (2205677)Termination phase: Saturation
% 8.74/1.78 % (2205677)Time elapsed: 0.070 s
% 8.74/1.78 % (2205677)Peak memory usage: 13 MB
% 8.74/1.78 % (2205677)Instructions burned: 116 (million)
% 8.74/1.78 % (2205689)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=958973224:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.74/1.78 % (2205690)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1912326719:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.74/1.78 % (2205679)Instruction limit reached!
% 8.74/1.78 % (2205679)------------------------------
% 8.74/1.78 % (2205679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.74/1.78 % (2205679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/1.78 % (2205679)CaDiCaL version: 2.1.3
% 8.74/1.78 % (2205679)Termination reason: Instruction limit
% 8.74/1.78 % (2205679)Termination phase: Saturation
% 8.74/1.78 % (2205679)Time elapsed: 0.101 s
% 8.74/1.78 % (2205679)Peak memory usage: 14 MB
% 8.74/1.78 % (2205679)Instructions burned: 159 (million)
% 8.74/1.78 % TRYING [1]
% 8.74/1.78 % TRYING [2]
% 8.74/1.78 % (2205693)ott-21_1_sil=16000:fs=off:random_seed=2241131295:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.74/1.78 % TRYING [1]
% 8.74/1.78 % TRYING [2]
% 8.74/1.78 % TRYING [3]
% 8.74/1.78 % (2205689)Instruction limit reached!
% 8.74/1.78 % (2205689)------------------------------
% 8.74/1.78 % (2205689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.74/1.78 % (2205689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205689)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205689)Termination reason: Instruction limit
% 14.73/5.37 % (2205689)Termination phase: Saturation
% 14.73/5.37 % (2205689)Time elapsed: 0.084 s
% 14.73/5.37 % (2205689)Peak memory usage: 14 MB
% 14.73/5.37 % (2205689)Instructions burned: 132 (million)
% 14.73/5.37 % (2205695)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2034404650:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 14.73/5.37 % TRYING [3]
% 14.73/5.37 % (2205687)Instruction limit reached!
% 14.73/5.37 % (2205687)------------------------------
% 14.73/5.37 % (2205687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205687)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205687)Termination reason: Instruction limit
% 14.73/5.37 % (2205687)Termination phase: Finite model building constraint generation
% 14.73/5.37 % (2205687)Time elapsed: 0.153 s
% 14.73/5.37 % (2205687)Peak memory usage: 31 MB
% 14.73/5.37 % (2205687)Instructions burned: 718 (million)
% 14.73/5.37 % (2205693)Instruction limit reached!
% 14.73/5.37 % (2205693)------------------------------
% 14.73/5.37 % (2205693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205693)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205693)Termination reason: Instruction limit
% 14.73/5.37 % (2205693)Termination phase: Saturation
% 14.73/5.37 % (2205693)Time elapsed: 0.094 s
% 14.73/5.37 % (2205693)Peak memory usage: 13 MB
% 14.73/5.37 % (2205693)Instructions burned: 181 (million)
% 14.73/5.37 % (2205697)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3487877372:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 14.73/5.37 % (2205699)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2375104577:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 14.73/5.37 % TRYING [1]
% 14.73/5.37 % TRYING [2]
% 14.73/5.37 % (2205697)Instruction limit reached!
% 14.73/5.37 % (2205697)------------------------------
% 14.73/5.37 % (2205697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205697)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205697)Termination reason: Instruction limit
% 14.73/5.37 % (2205697)Termination phase: Finite model building SAT solving
% 14.73/5.37 % (2205697)Time elapsed: 0.214 s
% 14.73/5.37 % (2205697)Peak memory usage: 33 MB
% 14.73/5.37 % (2205697)Instructions burned: 868 (million)
% 14.73/5.37 % (2205701)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1974225721:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 14.73/5.37 % (2205690)Instruction limit reached!
% 14.73/5.37 % (2205690)------------------------------
% 14.73/5.37 % (2205690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205690)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205690)Termination reason: Instruction limit
% 14.73/5.37 % (2205690)Termination phase: Saturation
% 14.73/5.37 % (2205690)Time elapsed: 0.393 s
% 14.73/5.37 % (2205690)Peak memory usage: 17 MB
% 14.73/5.37 % (2205690)Instructions burned: 684 (million)
% 14.73/5.37 % (2205703)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3519694690:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 14.73/5.37 % (2205695)Instruction limit reached!
% 14.73/5.37 % (2205695)------------------------------
% 14.73/5.37 % (2205695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205695)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205695)Termination reason: Instruction limit
% 14.73/5.37 % (2205695)Termination phase: Saturation
% 14.73/5.37 % (2205695)Time elapsed: 0.318 s
% 14.73/5.37 % (2205695)Peak memory usage: 15 MB
% 14.73/5.37 % (2205695)Instructions burned: 478 (million)
% 14.73/5.37 % (2205705)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=875336068:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 14.73/5.37 % TRYING [4]
% 14.73/5.37 % (2205701)Instruction limit reached!
% 14.73/5.37 % (2205701)------------------------------
% 14.73/5.37 % (2205701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205701)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205701)Termination reason: Instruction limit
% 14.73/5.37 % (2205701)Termination phase: Finite model building constraint generation
% 14.73/5.37 % (2205701)Time elapsed: 0.238 s
% 14.73/5.37 % (2205701)Peak memory usage: 93 MB
% 14.73/5.37 % (2205701)Instructions burned: 893 (million)
% 14.73/5.37 % (2205707)fmb+10_1_sil=64000:random_seed=2781040849:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 14.73/5.37 % TRYING [1]
% 14.73/5.37 % TRYING [2]
% 14.73/5.37 % (2205703)Instruction limit reached!
% 14.73/5.37 % (2205703)------------------------------
% 14.73/5.37 % (2205703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205703)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205703)Termination reason: Instruction limit
% 14.73/5.37 % (2205703)Termination phase: Saturation
% 14.73/5.37 % (2205703)Time elapsed: 0.433 s
% 14.73/5.37 % (2205703)Peak memory usage: 18 MB
% 14.73/5.37 % (2205703)Instructions burned: 692 (million)
% 14.73/5.37 % (2205699)Instruction limit reached!
% 14.73/5.37 % (2205699)------------------------------
% 14.73/5.37 % (2205699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205699)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205699)Termination reason: Instruction limit
% 14.73/5.37 % (2205699)Termination phase: Saturation
% 14.73/5.37 % (2205699)Time elapsed: 0.714 s
% 14.73/5.37 % (2205699)Peak memory usage: 19 MB
% 14.73/5.37 % (2205699)Instructions burned: 1179 (million)
% 14.73/5.37 % TRYING [3]
% 14.73/5.37 % (2205709)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=53599045:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 14.73/5.37 % (2205710)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2634346328:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 14.73/5.37 % (2205705)Instruction limit reached!
% 14.73/5.37 % (2205705)------------------------------
% 14.73/5.37 % (2205705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205705)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205705)Termination reason: Instruction limit
% 14.73/5.37 % (2205705)Termination phase: Saturation
% 14.73/5.37 % (2205705)Time elapsed: 0.504 s
% 14.73/5.37 % (2205705)Peak memory usage: 21 MB
% 14.73/5.37 % (2205705)Instructions burned: 879 (million)
% 14.73/5.37 % (2205713)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1099129767:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 14.73/5.37 % (2205709)Cannot represent all propositional literals internally
% 14.73/5.37 % (2205709)Refutation not found, incomplete strategy
% 14.73/5.37 % (2205709)------------------------------
% 14.73/5.37 % (2205709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205709)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205709)Termination reason: Refutation not found, incomplete strategy
% 14.73/5.37 % (2205709)Time elapsed: 0.116 s
% 14.73/5.37 % (2205709)Peak memory usage: 15 MB
% 14.73/5.37 % (2205709)Instructions burned: 239 (million)
% 14.73/5.37 % (2205709)------------------------------
% 14.73/5.37 % (2205709)------------------------------
% 14.73/5.37 % TRYING [8]
% 14.73/5.37 % (2205715)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2416835484:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 14.73/5.37 % (2205710)Instruction limit reached!
% 14.73/5.37 % (2205710)------------------------------
% 14.73/5.37 % (2205710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205710)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205710)Termination reason: Instruction limit
% 14.73/5.37 % (2205710)Termination phase: Finite model building constraint generation
% 14.73/5.37 % (2205710)Time elapsed: 0.350 s
% 14.73/5.37 % (2205710)Peak memory usage: 59 MB
% 14.73/5.37 % (2205710)Instructions burned: 921 (million)
% 14.73/5.37 % (2205717)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2424354016:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 14.73/5.37 % (2205717)Cannot represent all propositional literals internally
% 14.73/5.37 % (2205717)Refutation not found, incomplete strategy
% 14.73/5.37 % (2205717)------------------------------
% 14.73/5.37 % (2205717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205717)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205717)Termination reason: Refutation not found, incomplete strategy
% 14.73/5.37 % (2205717)Time elapsed: 0.124 s
% 14.73/5.37 % (2205717)Peak memory usage: 16 MB
% 14.73/5.37 % (2205717)Instructions burned: 255 (million)
% 14.73/5.37 % (2205717)------------------------------
% 14.73/5.37 % (2205717)------------------------------
% 14.73/5.37 % (2205719)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=958548399:fmbsr=2.30978:i=2174_2984 on theBenchmark for (2984ds/2174Mi)
% 14.73/5.37 % TRYING [4]
% 14.73/5.37 % (2205715)Instruction limit reached!
% 14.73/5.37 % (2205715)------------------------------
% 14.73/5.37 % (2205715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205715)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205715)Termination reason: Instruction limit
% 14.73/5.37 % (2205715)Termination phase: Saturation
% 14.73/5.37 % (2205715)Time elapsed: 0.834 s
% 14.73/5.37 % (2205715)Peak memory usage: 33 MB
% 14.73/5.37 % (2205715)Instructions burned: 1472 (million)
% 14.73/5.37 % (2205721)ott-2_1_sil=16000:newcnf=on:random_seed=1693800420:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2979 on theBenchmark for (2979ds/869Mi)
% 14.73/5.37 % (2205719)Cannot represent all propositional literals internally
% 14.73/5.37 % (2205719)Refutation not found, incomplete strategy
% 14.73/5.37 % (2205719)------------------------------
% 14.73/5.37 % (2205719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205719)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205719)Termination reason: Refutation not found, incomplete strategy
% 14.73/5.37 % (2205719)Time elapsed: 0.555 s
% 14.73/5.37 % (2205719)Peak memory usage: 24 MB
% 14.73/5.37 % (2205719)Instructions burned: 1156 (million)
% 14.73/5.37 % (2205719)------------------------------
% 14.73/5.37 % (2205719)------------------------------
% 14.73/5.37 % (2205723)ott+10_1_sil=32000:tgt=ground:random_seed=3644803005:i=5114:av=off_2978 on theBenchmark for (2978ds/5114Mi)
% 14.73/5.37 % (2205721)Instruction limit reached!
% 14.73/5.37 % (2205721)------------------------------
% 14.73/5.37 % (2205721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205721)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205721)Termination reason: Instruction limit
% 14.73/5.37 % (2205721)Termination phase: Saturation
% 14.73/5.37 % (2205721)Time elapsed: 0.482 s
% 14.73/5.37 % (2205721)Peak memory usage: 17 MB
% 14.73/5.37 % (2205721)Instructions burned: 869 (million)
% 14.73/5.37 % TRYING [5]
% 14.73/5.37 % (2205725)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1164817358:i=54282_2974 on theBenchmark for (2974ds/54282Mi)
% 14.73/5.37 % TRYING [1]
% 14.73/5.37 % TRYING [2]
% 14.73/5.37 % TRYING [3]
% 14.73/5.37 % TRYING [4]
% 14.73/5.37 % (2205713)Instruction limit reached!
% 14.73/5.37 % (2205713)------------------------------
% 14.73/5.37 % (2205713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205713)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205713)Termination reason: Instruction limit
% 14.73/5.37 % (2205713)Termination phase: Saturation
% 14.73/5.37 % (2205713)Time elapsed: 2.952 s
% 14.73/5.37 % (2205713)Peak memory usage: 35 MB
% 14.73/5.37 % (2205713)Instructions burned: 5131 (million)
% 14.73/5.37 % (2205727)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1463116245:i=3512:aac=none_2959 on theBenchmark for (2959ds/3512Mi)
% 14.73/5.37 % TRYING [5]
% 14.73/5.37 % TRYING [5]
% 14.73/5.37 % (2205674) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2205668-2205674"...
% 14.73/5.37 % (2205674)...printing done.
% 14.73/5.37 % (2205674)Refutation found. Thanks to Tanya!
% 14.73/5.37 % SZS status Unsatisfiable for theBenchmark
% 14.73/5.37 % SZS output start Proof for theBenchmark
% See solution above
% 14.73/5.37 % (2205674)------------------------------
% 14.73/5.37 % (2205674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.73/5.37 % (2205674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.73/5.37 % (2205674)CaDiCaL version: 2.1.3
% 14.73/5.37 % (2205674)Termination reason: Refutation
% 14.73/5.37 % (2205674)Time elapsed: 4.978 s
% 14.73/5.37 % (2205674)Peak memory usage: 43 MB
% 14.73/5.37 % (2205674)Instructions burned: 8599 (million)
% 14.73/5.37 % (2205668)Success in time 5.129 s
% 14.73/5.37 % Vampire exiting
%------------------------------------------------------------------------------