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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ALG419-1 : 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 : n014.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 09:30:30 AM UTC 2026

% Result   : Unsatisfiable 112.53s 27.29s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   95 (  39 unt;   4 def)
%            Number of atoms       :  169 (  57 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  139 (  65   ~;  70   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :   14 (  12 usr;   5 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   5 con; 0-3 aty)
%            Number of variables   :   76 (   0 sgn  76   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f48,axiom,
    ! [X2,X0,X1] :
      ( ~ class_Divides_Osemiring__div(X0)
      | c_Divides_Odiv__class_Omod(X1,X2,X0) = c_HOL_Ozero__class_Ozero(X0)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dvd__imp__mod__0_0) ).

fof(f82,axiom,
    ! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__add__commute_0) ).

fof(f275,axiom,
    ! [X2,X0,X1] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
      | c_Polynomial_Ocoeff(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(X1,X0),c_Polynomial_Odegree(X2,X0),tc_nat),X0) = c_HOL_Otimes__class_Otimes(c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0),c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_coeff__mult__degree__sum_0) ).

fof(f457,axiom,
    ! [X2,X0,X1] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dvd__triv__right_0) ).

fof(f553,axiom,
    ! [X2,X0,X1] :
      ( ~ class_Ring__and__Field_Ofield(X0)
      | c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(X0)) = X1
      | ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(X1,X0),c_Polynomial_Odegree(X2,X0),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mod__poly__less_0) ).

fof(f615,axiom,
    ! [X2,X0,X1] :
      ( ~ class_HOL_Ozero(X0)
      | c_Polynomial_Ocoeff(X1,X2,X0) = c_HOL_Ozero__class_Ozero(X0)
      | ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(X1,X0),X2,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_coeff__eq__0_0) ).

fof(f616,plain,
    ! [X2,X0,X1] :
      ( ~ class_HOL_Ozero(X0)
      | c_HOL_Ozero__class_Ozero(X0) = c_Polynomial_Ocoeff(X1,X2,X0)
      | ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(X1,X0),X2,tc_nat) ),
    inference(reorient_equations,[],[f615]) ).

fof(f617,axiom,
    ! [X0,X1] :
      ( ~ class_HOL_Ozero(X0)
      | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
      | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_leading__coeff__0__iff_0) ).

fof(f618,plain,
    ! [X0,X1] :
      ( c_HOL_Ozero__class_Ozero(X0) != c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0)
      | ~ class_HOL_Ozero(X0)
      | c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X1 ),
    inference(reorient_equations,[],[f617]) ).

fof(f656,axiom,
    ! [X0] : X0 = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_natgb_Oadd__r0__iff_1) ).

fof(f657,plain,
    ! [X0] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X0,
    inference(reorient_equations,[],[f656]) ).

fof(f681,axiom,
    ! [X2,X0,X1] :
      ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),c_HOL_Oplus__class_Oplus(X0,X2,tc_nat),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__add__left__cancel__less_1) ).

fof(f747,axiom,
    ! [X0] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
      | c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_one__poly__def_0) ).

fof(f786,axiom,
    ! [X2,X0,X1] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
      | c_Polynomial_Ocoeff(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0)),X2,X0) = c_HOL_Oone__class_Oone(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_coeff__linear__power_0) ).

fof(f787,plain,
    ! [X2,X0,X1] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
      | c_HOL_Oone__class_Oone(X0) = c_Polynomial_Ocoeff(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0)),X2,X0) ),
    inference(reorient_equations,[],[f786]) ).

fof(f804,axiom,
    ! [X2,X0,X1] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
      | c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0)),X0) = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_degree__linear__power_0) ).

fof(f862,axiom,
    v_s____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sne_0) ).

fof(f863,plain,
    c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_s____,
    inference(reorient_equations,[],[f862]) ).

fof(f938,axiom,
    ! [X0,X1] :
      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__neq__iff_0) ).

fof(f939,plain,
    ! [X0,X1] :
      ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
      | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
      | X0 = X1 ),
    inference(reorient_equations,[],[f938]) ).

fof(f958,axiom,
    v_pa____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pne_0) ).

fof(f959,plain,
    c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____,
    inference(reorient_equations,[],[f958]) ).

fof(f974,axiom,
    ! [X0,X1] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__1_0) ).

fof(f990,axiom,
    v_pa____ = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_s_0) ).

fof(f1023,negated_conjecture,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1024,negated_conjecture,
    ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),c_Polynomial_Odegree(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1133,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) ).

fof(f1134,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).

fof(f1138,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult) ).

fof(f1153,axiom,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).

fof(f1162,axiom,
    class_HOL_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__HOL_Ozero) ).

fof(f1181,axiom,
    ! [X0] :
      ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1) ).

fof(f1204,axiom,
    ! [X0] :
      ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
      | ~ class_Ring__and__Field_Ofield(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Divides_Osemiring__div) ).

fof(f1238,plain,
    ! [X2,X0,X1] :
      ( ~ class_Divides_Osemiring__div(X0)
      | c_Divides_Odiv__class_Omod(X1,X2,X0) = c_HOL_Ozero__class_Ozero(X0)
      | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f1468,plain,
    ! [X2,X0,X1] :
      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
    inference(consistent_polarity_flipping,[],[f457]) ).

fof(f1508,plain,
    ! [X2,X0,X1] :
      ( ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(X1,X0),c_Polynomial_Odegree(X2,X0),tc_nat)
      | c_Divides_Odiv__class_Omod(X1,X2,tc_Polynomial_Opoly(X0)) = X1
      | class_Ring__and__Field_Ofield(X0) ),
    inference(consistent_polarity_flipping,[],[f553]) ).

fof(f1711,plain,
    ~ class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    inference(consistent_polarity_flipping,[],[f1153]) ).

fof(f1733,plain,
    ! [X0] :
      ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
      | class_Ring__and__Field_Ofield(X0) ),
    inference(consistent_polarity_flipping,[],[f1204]) ).

fof(f1853,plain,
    ! [X0] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X0,
    inference(resolution,[],[f974,f1138]) ).

fof(f3331,plain,
    c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(resolution,[],[f747,f1133]) ).

fof(f3388,plain,
    ! [X2,X0,X1] :
      ( c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Polynomial_Opoly(X2))
      | c_Divides_Odiv__class_Omod(X0,X1,tc_Polynomial_Opoly(X2)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
      | class_Ring__and__Field_Ofield(X2) ),
    inference(resolution,[],[f1238,f1733]) ).

fof(f3762,plain,
    ! [X0] : c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X0,c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_nat),tc_nat),
    inference(resolution,[],[f681,f1023]) ).

fof(f5046,plain,
    ! [X0,X1] :
      ( ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(X0,tc_Complex_Ocomplex),X1,tc_nat)
      | c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Ocoeff(X0,X1,tc_Complex_Ocomplex) ),
    inference(resolution,[],[f616,f1162]) ).

fof(f8168,definition,
    ( spl0_98
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f8170,plain,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | spl0_98 ),
    inference(avatar_component_clause,[],[f8168]) ).

fof(f8744,plain,
    ! [X0,X1] : c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = X1,
    inference(resolution,[],[f804,f1133]) ).

fof(f12250,plain,
    ! [X0,X1] : c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Polynomial_Ocoeff(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Complex_Ocomplex),
    inference(resolution,[],[f787,f1133]) ).

fof(f12890,plain,
    ! [X0] : c_HOL_Oord__class_Oless(X0,c_HOL_Oplus__class_Oplus(X0,c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_nat),tc_nat),
    inference(forward_demodulation,[],[f3762,f657]) ).

fof(f12976,plain,
    ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex),tc_nat),
    inference(superposition,[],[f1024,f990]) ).

fof(f12993,plain,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(v_s____,v_pa____,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(superposition,[],[f1468,f990]) ).

fof(f13117,definition,
    ( spl0_275
  <=> c_Ring__and__Field_Odvd__class_Odvd(v_s____,v_pa____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).

fof(f13119,plain,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(v_s____,v_pa____,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | spl0_275 ),
    inference(avatar_component_clause,[],[f13117]) ).

fof(f13120,plain,
    ( ~ spl0_98
    | ~ spl0_275 ),
    inference(avatar_split_clause,[],[f12993,f13117,f8168]) ).

fof(f13641,plain,
    ! [X0,X1] : c_Polynomial_Ocoeff(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(X0,tc_Complex_Ocomplex),c_Polynomial_Odegree(X1,tc_Complex_Ocomplex),tc_nat),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Polynomial_Ocoeff(X0,c_Polynomial_Odegree(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(resolution,[],[f275,f1134]) ).

fof(f14709,plain,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
    | spl0_98 ),
    inference(resolution,[],[f8170,f1181]) ).

fof(f14710,plain,
    ( $false
    | spl0_98 ),
    inference(forward_subsumption_resolution,[],[f14709,f1133]) ).

fof(f14711,plain,
    spl0_98,
    inference(avatar_contradiction_clause,[],[f14710]) ).

fof(f19025,plain,
    ( c_HOL_Oord__class_Oless(c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_nat)
    | c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex) = c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex) ),
    inference(resolution,[],[f12976,f939]) ).

fof(f19028,definition,
    ( spl0_424
  <=> c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex) = c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex) ),
    introduced(definition,[new_symbols(definition,[spl0_424])],[avatar_definition]) ).

fof(f19030,plain,
    ( c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex) = c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex)
    | ~ spl0_424 ),
    inference(avatar_component_clause,[],[f19028]) ).

fof(f19032,definition,
    ( spl0_425
  <=> c_HOL_Oord__class_Oless(c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_nat) ),
    introduced(definition,[new_symbols(definition,[spl0_425])],[avatar_definition]) ).

fof(f19034,plain,
    ( c_HOL_Oord__class_Oless(c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_nat)
    | ~ spl0_425 ),
    inference(avatar_component_clause,[],[f19032]) ).

fof(f19036,plain,
    ( spl0_424
    | spl0_425 ),
    inference(avatar_split_clause,[],[f19025,f19032,f19028]) ).

fof(f19233,plain,
    ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Ocoeff(v_s____,c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
    | ~ class_HOL_Ozero(tc_Complex_Ocomplex)
    | c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_s____
    | ~ spl0_424 ),
    inference(superposition,[],[f618,f19030]) ).

fof(f19254,plain,
    ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Ocoeff(v_s____,c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
    | c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_s____
    | ~ spl0_424 ),
    inference(forward_subsumption_resolution,[],[f19233,f1162]) ).

fof(f19267,plain,
    ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Ocoeff(v_s____,c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
    | ~ spl0_424 ),
    inference(forward_subsumption_resolution,[],[f19254,f863]) ).

fof(f19930,plain,
    ( v_pa____ = c_Divides_Odiv__class_Omod(v_pa____,v_s____,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)
    | ~ spl0_425 ),
    inference(resolution,[],[f19034,f1508]) ).

fof(f19977,plain,
    ( v_pa____ = c_Divides_Odiv__class_Omod(v_pa____,v_s____,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ spl0_425 ),
    inference(forward_subsumption_resolution,[],[f19930,f1711]) ).

fof(f44664,plain,
    ! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Ocoeff(X0,c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(X0,tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_nat),tc_Complex_Ocomplex),
    inference(resolution,[],[f5046,f12890]) ).

fof(f75217,plain,
    ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(v_pa____,v_s____,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)
    | spl0_275 ),
    inference(resolution,[],[f3388,f13119]) ).

fof(f75218,plain,
    ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(v_pa____,v_s____,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | spl0_275 ),
    inference(forward_subsumption_resolution,[],[f75217,f1711]) ).

fof(f75223,plain,
    ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_pa____
    | spl0_275
    | ~ spl0_425 ),
    inference(forward_demodulation,[],[f75218,f19977]) ).

fof(f75225,plain,
    ( $false
    | spl0_275
    | ~ spl0_425 ),
    inference(forward_subsumption_resolution,[],[f75223,f959]) ).

fof(f75226,plain,
    ( spl0_275
    | ~ spl0_425 ),
    inference(avatar_contradiction_clause,[],[f75225]) ).

fof(f102208,plain,
    ! [X0,X1] : c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = X1,
    inference(forward_demodulation,[],[f8744,f3331]) ).

fof(f121063,plain,
    ! [X0,X1] : c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Polynomial_Ocoeff(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X0,c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1,tc_Complex_Ocomplex),
    inference(forward_demodulation,[],[f12250,f3331]) ).

fof(f198973,plain,
    c_HOL_Otimes__class_Otimes(c_Polynomial_Ocoeff(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Ocoeff(v_s____,c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Ocoeff(v_pa____,c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_nat),tc_Complex_Ocomplex),
    inference(superposition,[],[f13641,f990]) ).

fof(f199011,plain,
    c_HOL_Otimes__class_Otimes(c_Polynomial_Ocoeff(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Ocoeff(v_s____,c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Ocoeff(v_pa____,c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_nat),tc_Complex_Ocomplex),
    inference(forward_demodulation,[],[f198973,f82]) ).

fof(f242007,plain,
    c_HOL_Otimes__class_Otimes(c_Polynomial_Ocoeff(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Ocoeff(v_s____,c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Ocoeff(v_pa____,c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_nat),tc_Complex_Ocomplex),
    inference(forward_demodulation,[],[f199011,f3331]) ).

fof(f242313,plain,
    c_HOL_Otimes__class_Otimes(c_Polynomial_Ocoeff(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Ocoeff(v_s____,c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Ocoeff(v_pa____,c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_nat),tc_Complex_Ocomplex),
    inference(forward_demodulation,[],[f242007,f102208]) ).

fof(f242426,plain,
    ( c_HOL_Otimes__class_Otimes(c_Polynomial_Ocoeff(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Ocoeff(v_s____,c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Ocoeff(v_pa____,c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_nat),tc_Complex_Ocomplex)
    | ~ spl0_424 ),
    inference(forward_demodulation,[],[f242313,f19030]) ).

fof(f242475,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Polynomial_Ocoeff(v_s____,c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Ocoeff(v_pa____,c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_nat),tc_Complex_Ocomplex)
    | ~ spl0_424 ),
    inference(forward_demodulation,[],[f242426,f121063]) ).

fof(f242499,plain,
    ( c_Polynomial_Ocoeff(v_s____,c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Ocoeff(v_pa____,c_HOL_Oplus__class_Oplus(c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_nat),tc_Complex_Ocomplex)
    | ~ spl0_424 ),
    inference(forward_demodulation,[],[f242475,f1853]) ).

fof(f664481,plain,
    ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Ocoeff(v_s____,c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
    | ~ spl0_424 ),
    inference(forward_demodulation,[],[f242499,f44664]) ).

fof(f664482,plain,
    ( $false
    | ~ spl0_424 ),
    inference(forward_subsumption_resolution,[],[f664481,f19267]) ).

fof(f664483,plain,
    ~ spl0_424,
    inference(avatar_contradiction_clause,[],[f664482]) ).

cnf(s328,plain,
    ( ~ spl0_98
    | ~ spl0_275 ),
    inference(sat_conversion,[],[f13120]) ).

cnf(s377,plain,
    spl0_98,
    inference(sat_conversion,[],[f14711]) ).

cnf(s579,plain,
    ( spl0_424
    | spl0_425 ),
    inference(sat_conversion,[],[f19036]) ).

cnf(s2374,plain,
    ( spl0_275
    | ~ spl0_425 ),
    inference(sat_conversion,[],[f75226]) ).

cnf(s30176,plain,
    ~ spl0_424,
    inference(sat_conversion,[],[f664483]) ).

cnf(s30214,plain,
    spl0_425,
    inference(rat,[],[s579,s30176]) ).

cnf(s30215,plain,
    spl0_275,
    inference(rat,[],[s2374,s30214]) ).

cnf(s30314,plain,
    $false,
    inference(rat,[],[s328,s30215,s377]) ).

fof(f664484,plain,
    $false,
    inference(avatar_sat_refutation,[],[s30314]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG419-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  % Computer : n014.cluster.edu
% 0.09/0.22  % Model    : x86_64 x86_64
% 0.09/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22  % Memory   : 8046.5625MB
% 0.09/0.22  % OS       : Linux 6.8.0-71-generic
% 0.09/0.22  % CPULimit : 300
% 0.09/0.22  % WCLimit  : 300
% 0.09/0.22  % DateTime : Mon Sep 28 20:20:16 UTC 2026
% 0.09/0.22  % CPUTime  : 
% 0.09/0.22  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.26  Running first-order model finding
% 0.09/0.26  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
% 15.69/2.59  % (2129150)Will run a generic schedule for satisfiability detection.
% 15.69/2.59  % (2129159)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=327365527:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.69/2.59  % (2129156)% WARNING: option uhcvi not known.
% 15.69/2.59  % (2129155)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3397510607_2999 on theBenchmark for (2999ds/0Mi)
% 15.69/2.59  % (2129156)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=889546238:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.69/2.59  % (2129157)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2878378952:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.69/2.59  % (2129158)dis+10_1_sil=32000:sp=arity:random_seed=1951685914:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.69/2.59  % (2129160)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3029728521:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.69/2.59  % (2129161)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1086301494:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.69/2.59  % (2129159)Instruction limit reached! 
% 15.69/2.59  % (2129159)------------------------------
% 15.69/2.59  % (2129159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/2.59  % (2129159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/2.59  % (2129159)CaDiCaL version: 2.1.3
% 15.69/2.59  % (2129159)Termination reason: Instruction limit
% 15.69/2.59  % (2129159)Termination phase: Saturation
% 15.69/2.59  % (2129159)Time elapsed: 0.041 s
% 15.69/2.59  % (2129159)Peak memory usage: 14 MB
% 15.69/2.59  % (2129159)Instructions burned: 117 (million)
% 15.69/2.59  % (2129169)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1151968138:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.69/2.59  % (2129158)Instruction limit reached! 
% 15.69/2.59  % (2129158)------------------------------
% 15.69/2.59  % (2129158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/2.59  % (2129158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/2.59  % (2129158)CaDiCaL version: 2.1.3
% 15.69/2.59  % (2129158)Termination reason: Instruction limit
% 15.69/2.59  % (2129158)Termination phase: Saturation
% 15.69/2.59  % (2129158)Time elapsed: 0.069 s
% 15.69/2.59  % (2129158)Peak memory usage: 13 MB
% 15.69/2.59  % (2129158)Instructions burned: 105 (million)
% 15.69/2.59  % (2129160)Instruction limit reached! 
% 15.69/2.59  % (2129160)------------------------------
% 15.69/2.59  % (2129160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/2.59  % (2129160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/2.59  % (2129160)CaDiCaL version: 2.1.3
% 15.69/2.59  % (2129160)Termination reason: Instruction limit
% 15.69/2.59  % (2129160)Termination phase: Saturation
% 15.69/2.59  % (2129160)Time elapsed: 0.076 s
% 15.69/2.59  % (2129160)Peak memory usage: 14 MB
% 15.69/2.59  % (2129160)Instructions burned: 133 (million)
% 15.69/2.59  % TRYING [1]
% 15.69/2.59  % (2129171)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2803953184:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.69/2.59  % TRYING [1]
% 15.69/2.59  % TRYING [2]
% 15.69/2.59  % TRYING [2]
% 15.69/2.59  % (2129172)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=1483610953:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.69/2.59  % (2129161)Instruction limit reached! 
% 15.69/2.59  % (2129161)------------------------------
% 15.69/2.59  % (2129161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/2.59  % (2129161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.69/2.59  % (2129161)CaDiCaL version: 2.1.3
% 15.69/2.59  % (2129161)Termination reason: Instruction limit
% 15.69/2.59  % (2129161)Termination phase: Saturation
% 15.69/2.59  % (2129161)Time elapsed: 0.097 s
% 15.69/2.59  % (2129161)Peak memory usage: 14 MB
% 15.69/2.59  % (2129161)Instructions burned: 161 (million)
% 15.69/2.59  % (2129175)ott-21_1_sil=16000:fs=off:random_seed=366303508:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.69/2.59  % TRYING [3]
% 15.69/2.59  % TRYING [3]
% 15.69/2.59  % (2129171)Instruction limit reached! 
% 15.69/2.59  % (2129171)------------------------------
% 15.69/2.59  % (2129171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.69/2.59  % (2129171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.82/6.01  % (2129171)CaDiCaL version: 2.1.3
% 39.82/6.01  % (2129171)Termination reason: Instruction limit
% 39.82/6.01  % (2129171)Termination phase: Saturation
% 39.82/6.01  % (2129171)Time elapsed: 0.077 s
% 39.82/6.01  % (2129171)Peak memory usage: 13 MB
% 39.82/6.01  % (2129171)Instructions burned: 131 (million)
% 39.82/6.01  % (2129177)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1829587526:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 39.82/6.01  % (2129169)Instruction limit reached! 
% 39.82/6.01  % (2129169)------------------------------
% 39.82/6.01  % (2129169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.82/6.01  % (2129169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.82/6.01  % (2129169)CaDiCaL version: 2.1.3
% 39.82/6.01  % (2129169)Termination reason: Instruction limit
% 39.82/6.01  % (2129169)Termination phase: Finite model building constraint generation
% 39.82/6.01  % (2129169)Time elapsed: 0.153 s
% 39.82/6.01  % (2129169)Peak memory usage: 44 MB
% 39.82/6.01  % (2129169)Instructions burned: 716 (million)
% 39.82/6.01  % (2129179)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=845854364:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 39.82/6.01  % (2129175)Instruction limit reached! 
% 39.82/6.01  % (2129175)------------------------------
% 39.82/6.01  % (2129175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.82/6.01  % (2129175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.82/6.01  % (2129175)CaDiCaL version: 2.1.3
% 39.82/6.01  % (2129175)Termination reason: Instruction limit
% 39.82/6.01  % (2129175)Termination phase: Saturation
% 39.82/6.01  % (2129175)Time elapsed: 0.097 s
% 39.82/6.01  % (2129175)Peak memory usage: 13 MB
% 39.82/6.01  % (2129175)Instructions burned: 185 (million)
% 39.82/6.01  % (2129181)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4244149955:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 39.82/6.01  % TRYING [1]
% 39.82/6.01  % TRYING [2]
% 39.82/6.01  % TRYING [3]
% 39.82/6.01  % (2129179)Instruction limit reached! 
% 39.82/6.01  % (2129179)------------------------------
% 39.82/6.01  % (2129179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.82/6.01  % (2129179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.82/6.01  % (2129179)CaDiCaL version: 2.1.3
% 39.82/6.01  % (2129179)Termination reason: Instruction limit
% 39.82/6.01  % (2129179)Termination phase: Finite model building constraint generation
% 39.82/6.01  % (2129179)Time elapsed: 0.199 s
% 39.82/6.01  % (2129179)Peak memory usage: 31 MB
% 39.82/6.01  % (2129179)Instructions burned: 866 (million)
% 39.82/6.01  % (2129183)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2696838583:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 39.82/6.01  % (2129177)Instruction limit reached! 
% 39.82/6.01  % (2129177)------------------------------
% 39.82/6.01  % (2129177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.82/6.01  % (2129177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.82/6.01  % (2129177)CaDiCaL version: 2.1.3
% 39.82/6.01  % (2129177)Termination reason: Instruction limit
% 39.82/6.01  % (2129177)Termination phase: Saturation
% 39.82/6.01  % (2129177)Time elapsed: 0.304 s
% 39.82/6.01  % (2129177)Peak memory usage: 15 MB
% 39.82/6.01  % (2129177)Instructions burned: 478 (million)
% 39.82/6.01  % (2129172)Instruction limit reached! 
% 39.82/6.01  % (2129172)------------------------------
% 39.82/6.01  % (2129172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.82/6.01  % (2129172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.82/6.01  % (2129172)CaDiCaL version: 2.1.3
% 39.82/6.01  % (2129172)Termination reason: Instruction limit
% 39.82/6.01  % (2129172)Termination phase: Saturation
% 39.82/6.01  % (2129172)Time elapsed: 0.398 s
% 39.82/6.01  % (2129172)Peak memory usage: 18 MB
% 39.82/6.01  % (2129172)Instructions burned: 684 (million)
% 39.82/6.01  % (2129185)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=791201423: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)
% 39.82/6.01  % (2129186)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1473230847:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 39.82/6.01  % TRYING [4]
% 39.82/6.01  % (2129183)Instruction limit reached! 
% 39.82/6.01  % (2129183)------------------------------
% 39.82/6.01  % (2129183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 81.65/11.89  % (2129183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.65/11.89  % (2129183)CaDiCaL version: 2.1.3
% 81.65/11.89  % (2129183)Termination reason: Instruction limit
% 81.65/11.89  % (2129183)Termination phase: Finite model building constraint generation
% 81.65/11.89  % (2129183)Time elapsed: 0.267 s
% 81.65/11.89  % (2129183)Peak memory usage: 98 MB
% 81.65/11.89  % (2129183)Instructions burned: 894 (million)
% 81.65/11.89  % (2129189)fmb+10_1_sil=64000:random_seed=2402378861:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 81.65/11.89  % TRYING [1]
% 81.65/11.89  % TRYING [2]
% 81.65/11.89  % (2129185)Instruction limit reached! 
% 81.65/11.89  % (2129185)------------------------------
% 81.65/11.89  % (2129185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 81.65/11.89  % (2129185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.65/11.89  % (2129185)CaDiCaL version: 2.1.3
% 81.65/11.89  % (2129185)Termination reason: Instruction limit
% 81.65/11.89  % (2129185)Termination phase: Saturation
% 81.65/11.89  % (2129185)Time elapsed: 0.376 s
% 81.65/11.89  % (2129185)Peak memory usage: 18 MB
% 81.65/11.89  % (2129185)Instructions burned: 692 (million)
% 81.65/11.89  % (2129191)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1384836234:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 81.65/11.89  % TRYING [3]
% 81.65/11.89  % (2129181)Instruction limit reached! 
% 81.65/11.89  % (2129181)------------------------------
% 81.65/11.89  % (2129181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 81.65/11.89  % (2129181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.65/11.89  % (2129181)CaDiCaL version: 2.1.3
% 81.65/11.89  % (2129181)Termination reason: Instruction limit
% 81.65/11.89  % (2129181)Termination phase: Saturation
% 81.65/11.89  % (2129181)Time elapsed: 0.735 s
% 81.65/11.89  % (2129181)Peak memory usage: 22 MB
% 81.65/11.89  % (2129181)Instructions burned: 1179 (million)
% 81.65/11.89  % TRYING [20]
% 81.65/11.89  % (2129193)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2275086435:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 81.65/11.89  % (2129186)Instruction limit reached! 
% 81.65/11.89  % (2129186)------------------------------
% 81.65/11.89  % (2129186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 81.65/11.89  % (2129186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.65/11.89  % (2129186)CaDiCaL version: 2.1.3
% 81.65/11.89  % (2129186)Termination reason: Instruction limit
% 81.65/11.89  % (2129186)Termination phase: Saturation
% 81.65/11.89  % (2129186)Time elapsed: 0.490 s
% 81.65/11.89  % (2129186)Peak memory usage: 20 MB
% 81.65/11.89  % (2129186)Instructions burned: 879 (million)
% 81.65/11.89  % (2129195)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1190922813:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 81.65/11.89  % TRYING [8]
% 81.65/11.89  % (2129193)Instruction limit reached! 
% 81.65/11.89  % (2129193)------------------------------
% 81.65/11.89  % (2129193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 81.65/11.89  % (2129193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.65/11.89  % (2129193)CaDiCaL version: 2.1.3
% 81.65/11.89  % (2129193)Termination reason: Instruction limit
% 81.65/11.89  % (2129193)Termination phase: Finite model building constraint generation
% 81.65/11.89  % (2129193)Time elapsed: 0.332 s
% 81.65/11.89  % (2129193)Peak memory usage: 59 MB
% 81.65/11.89  % (2129193)Instructions burned: 921 (million)
% 81.65/11.89  % (2129197)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=455959132:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 81.65/11.89  % TRYING [4]
% 81.65/11.89  % (2129197)Instruction limit reached! 
% 81.65/11.89  % (2129197)------------------------------
% 81.65/11.89  % (2129197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 81.65/11.89  % (2129197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.65/11.89  % (2129197)CaDiCaL version: 2.1.3
% 81.65/11.89  % (2129197)Termination reason: Instruction limit
% 81.65/11.89  % (2129197)Termination phase: Saturation
% 81.65/11.89  % (2129197)Time elapsed: 0.801 s
% 81.65/11.89  % (2129197)Peak memory usage: 29 MB
% 81.65/11.89  % (2129197)Instructions burned: 1474 (million)
% 81.65/11.89  % (2129199)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1132432813:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 81.65/11.89  % (2129199)Cannot represent all propositional literals internally
% 81.65/11.89  % (2129199)Refutation not found, incomplete strategy
% 112.53/27.29  % (2129199)------------------------------
% 112.53/27.29  % (2129199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129199)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129199)Termination reason: Refutation not found, incomplete strategy
% 112.53/27.29  % (2129199)Time elapsed: 0.087 s
% 112.53/27.29  % (2129199)Peak memory usage: 14 MB
% 112.53/27.29  % (2129199)Instructions burned: 175 (million)
% 112.53/27.29  % (2129199)------------------------------
% 112.53/27.29  % (2129199)------------------------------
% 112.53/27.29  % (2129201)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=587456042:fmbsr=2.30978:i=2174_2976 on theBenchmark for (2976ds/2174Mi)
% 112.53/27.29  % TRYING [5]
% 112.53/27.29  % TRYING [16]
% 112.53/27.29  % (2129201)Instruction limit reached! 
% 112.53/27.29  % (2129201)------------------------------
% 112.53/27.29  % (2129201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129201)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129201)Termination reason: Instruction limit
% 112.53/27.29  % (2129201)Termination phase: Finite model building constraint generation
% 112.53/27.29  % (2129201)Time elapsed: 0.884 s
% 112.53/27.29  % (2129201)Peak memory usage: 95 MB
% 112.53/27.29  % (2129201)Instructions burned: 2177 (million)
% 112.53/27.29  % (2129203)ott-2_1_sil=16000:newcnf=on:random_seed=1650070572:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2967 on theBenchmark for (2967ds/869Mi)
% 112.53/27.29  % (2129203)Instruction limit reached! 
% 112.53/27.29  % (2129203)------------------------------
% 112.53/27.29  % (2129203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129203)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129203)Termination reason: Instruction limit
% 112.53/27.29  % (2129203)Termination phase: Saturation
% 112.53/27.29  % (2129203)Time elapsed: 0.537 s
% 112.53/27.29  % (2129203)Peak memory usage: 16 MB
% 112.53/27.29  % (2129203)Instructions burned: 870 (million)
% 112.53/27.29  % (2129205)ott+10_1_sil=32000:tgt=ground:random_seed=2867715501:i=5114:av=off_2961 on theBenchmark for (2961ds/5114Mi)
% 112.53/27.29  % (2129195)Instruction limit reached! 
% 112.53/27.29  % (2129195)------------------------------
% 112.53/27.29  % (2129195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129195)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129195)Termination reason: Instruction limit
% 112.53/27.29  % (2129195)Termination phase: Saturation
% 112.53/27.29  % (2129195)Time elapsed: 2.958 s
% 112.53/27.29  % (2129195)Peak memory usage: 36 MB
% 112.53/27.29  % (2129195)Instructions burned: 5132 (million)
% 112.53/27.29  % (2129207)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3347591146:i=54282_2959 on theBenchmark for (2959ds/54282Mi)
% 112.53/27.29  % TRYING [1]
% 112.53/27.29  % TRYING [2]
% 112.53/27.29  % TRYING [3]
% 112.53/27.29  % (2129191)Instruction limit reached! 
% 112.53/27.29  % (2129191)------------------------------
% 112.53/27.29  % (2129191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129191)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129191)Termination reason: Instruction limit
% 112.53/27.29  % (2129191)Termination phase: Finite model building constraint generation
% 112.53/27.29  % (2129191)Time elapsed: 3.385 s
% 112.53/27.29  % (2129191)Peak memory usage: 582 MB
% 112.53/27.29  % (2129191)Instructions burned: 9515 (million)
% 112.53/27.29  % (2129209)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2495668715:i=3512:aac=none_2955 on theBenchmark for (2955ds/3512Mi)
% 112.53/27.29  % TRYING [4]
% 112.53/27.29  % TRYING [5]
% 112.53/27.29  % (2129189)Instruction limit reached! 
% 112.53/27.29  % (2129189)------------------------------
% 112.53/27.29  % (2129189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129189)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129189)Termination reason: Instruction limit
% 112.53/27.29  % (2129189)Termination phase: Finite model building constraint generation
% 112.53/27.29  % (2129189)Time elapsed: 4.932 s
% 112.53/27.29  % (2129189)Peak memory usage: 274 MB
% 112.53/27.29  % (2129189)Instructions burned: 22063 (million)
% 112.53/27.29  % (2129211)dis+21_1_sil=32000:sas=cadical:random_seed=3643238784:i=3773:amm=off_2942 on theBenchmark for (2942ds/3773Mi)
% 112.53/27.29  % (2129209)Instruction limit reached! 
% 112.53/27.29  % (2129209)------------------------------
% 112.53/27.29  % (2129209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129209)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129209)Termination reason: Instruction limit
% 112.53/27.29  % (2129209)Termination phase: Saturation
% 112.53/27.29  % (2129209)Time elapsed: 2.021 s
% 112.53/27.29  % (2129209)Peak memory usage: 34 MB
% 112.53/27.29  % (2129209)Instructions burned: 3513 (million)
% 112.53/27.29  % (2129213)ott+11_1_sil=16000:gs=on:random_seed=452772046:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2935 on theBenchmark for (2935ds/2251Mi)
% 112.53/27.29  % TRYING [5]
% 112.53/27.29  % (2129211)Instruction limit reached! 
% 112.53/27.29  % (2129211)------------------------------
% 112.53/27.29  % (2129211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129211)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129211)Termination reason: Instruction limit
% 112.53/27.29  % (2129211)Termination phase: Saturation
% 112.53/27.29  % (2129211)Time elapsed: 1.166 s
% 112.53/27.29  % (2129211)Peak memory usage: 34 MB
% 112.53/27.29  % (2129211)Instructions burned: 3774 (million)
% 112.53/27.29  % (2129215)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2262201361:fmbsr=1.6:i=67534_2930 on theBenchmark for (2930ds/67534Mi)
% 112.53/27.29  % (2129205)Instruction limit reached! 
% 112.53/27.29  % (2129205)------------------------------
% 112.53/27.29  % (2129205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129205)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129205)Termination reason: Instruction limit
% 112.53/27.29  % (2129205)Termination phase: Saturation
% 112.53/27.29  % (2129205)Time elapsed: 3.225 s
% 112.53/27.29  % (2129205)Peak memory usage: 36 MB
% 112.53/27.29  % (2129205)Instructions burned: 5116 (million)
% 112.53/27.29  % (2129217)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2409309727:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2929 on theBenchmark for (2929ds/4591Mi)
% 112.53/27.29  % TRYING [7]
% 112.53/27.29  % (2129213)Instruction limit reached! 
% 112.53/27.29  % (2129213)------------------------------
% 112.53/27.29  % (2129213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129213)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129213)Termination reason: Instruction limit
% 112.53/27.29  % (2129213)Termination phase: Saturation
% 112.53/27.29  % (2129213)Time elapsed: 1.378 s
% 112.53/27.29  % (2129213)Peak memory usage: 35 MB
% 112.53/27.29  % (2129213)Instructions burned: 2252 (million)
% 112.53/27.29  % (2129219)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2750164679:i=29340_2921 on theBenchmark for (2921ds/29340Mi)
% 112.53/27.29  % (2129217)Instruction limit reached! 
% 112.53/27.29  % (2129217)------------------------------
% 112.53/27.29  % (2129217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129217)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129217)Termination reason: Instruction limit
% 112.53/27.29  % (2129217)Termination phase: Saturation
% 112.53/27.29  % (2129217)Time elapsed: 1.799 s
% 112.53/27.29  % (2129217)Peak memory usage: 30 MB
% 112.53/27.29  % (2129217)Instructions burned: 4592 (million)
% 112.53/27.29  % (2129221)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3028774432:i=5211_2911 on theBenchmark for (2911ds/5211Mi)
% 112.53/27.29  % TRYING [6]
% 112.53/27.29  % (2129221)Instruction limit reached! 
% 112.53/27.29  % (2129221)------------------------------
% 112.53/27.29  % (2129221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129221)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129221)Termination reason: Instruction limit
% 112.53/27.29  % (2129221)Termination phase: Saturation
% 112.53/27.29  % (2129221)Time elapsed: 2.702 s
% 112.53/27.29  % (2129221)Peak memory usage: 48 MB
% 112.53/27.29  % (2129221)Instructions burned: 5213 (million)
% 112.53/27.29  % (2129224)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2999463258:i=5497:nm=2_2883 on theBenchmark for (2883ds/5497Mi)
% 112.53/27.29  % TRYING [17]
% 112.53/27.29  % TRYING [6]
% 112.53/27.29  % (2129224)Instruction limit reached! 
% 112.53/27.29  % (2129224)------------------------------
% 112.53/27.29  % (2129224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129224)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129224)Termination reason: Instruction limit
% 112.53/27.29  % (2129224)Termination phase: Finite model building constraint generation
% 112.53/27.29  % (2129224)Time elapsed: 1.903 s
% 112.53/27.29  % (2129224)Peak memory usage: 330 MB
% 112.53/27.29  % (2129224)Instructions burned: 5499 (million)
% 112.53/27.29  % (2129226)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1493632690:fmbsr=2:i=46332_2864 on theBenchmark for (2864ds/46332Mi)
% 112.53/27.29  % TRYING [15]
% 112.53/27.29  % (2129219)Instruction limit reached! 
% 112.53/27.29  % (2129219)------------------------------
% 112.53/27.29  % (2129219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129219)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129219)Termination reason: Instruction limit
% 112.53/27.29  % (2129219)Termination phase: Saturation
% 112.53/27.29  % (2129219)Time elapsed: 14.131 s
% 112.53/27.29  % (2129219)Peak memory usage: 103 MB
% 112.53/27.29  % (2129219)Instructions burned: 29341 (million)
% 112.53/27.29  % (2129380)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1535824586:i=14071_2779 on theBenchmark for (2779ds/14071Mi)
% 112.53/27.29  % TRYING [12]
% 112.53/27.29  % (2129215)Instruction limit reached! 
% 112.53/27.29  % (2129215)------------------------------
% 112.53/27.29  % (2129215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129215)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129215)Termination reason: Instruction limit
% 112.53/27.29  % (2129215)Termination phase: Finite model building constraint generation
% 112.53/27.29  % (2129215)Time elapsed: 16.343 s
% 112.53/27.29  % (2129215)Peak memory usage: 3566 MB
% 112.53/27.29  % (2129215)Instructions burned: 67538 (million)
% 112.53/27.29  % (2129382)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2363766941:i=22565:add=on:rawr=on_2764 on theBenchmark for (2764ds/22565Mi)
% 112.53/27.29  % (2129207)Instruction limit reached! 
% 112.53/27.29  % (2129207)------------------------------
% 112.53/27.29  % (2129207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.53/27.29  % (2129207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.53/27.29  % (2129207)CaDiCaL version: 2.1.3
% 112.53/27.29  % (2129207)Termination reason: Instruction limit
% 112.53/27.29  % (2129207)Termination phase: Finite model building constraint generation
% 112.53/27.29  % (2129207)Time elapsed: 20.745 s
% 112.53/27.29  % (2129207)Peak memory usage: 2008 MB
% 112.53/27.29  % (2129207)Instructions burned: 54283 (million)
% 112.53/27.29  % (2129384)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3017707403:i=8173:av=off_2749 on theBenchmark for (2749ds/8173Mi)
% 112.53/27.29  % (2129156) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2129150-2129156"...
% 112.53/27.29  % (2129156)...printing done.
% 112.53/27.29  % (2129156)Refutation found. Thanks to Tanya!
% 112.53/27.29  % SZS status Unsatisfiable for theBenchmark
% 112.53/27.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/27.30  % (2129156)------------------------------
% 0.20/27.30  % (2129156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/27.30  % (2129156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/27.30  % (2129156)CaDiCaL version: 2.1.3
% 0.20/27.30  % (2129156)Termination reason: Refutation
% 0.20/27.30  % (2129156)Time elapsed: 26.585 s
% 0.20/27.30  % (2129156)Peak memory usage: 149 MB
% 0.20/27.30  % (2129156)Instructions burned: 44530 (million)
% 0.20/27.30  % (2129150)Success in time 27.029 s
% 0.20/27.30  % Vampire exiting
%------------------------------------------------------------------------------