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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : AGT026+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n016.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 09:06:49 AM UTC 2026

% Result   : Theorem 9.28s 3.07s
% Output   : Refutation 9.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  137 (  38 unt;   8 def)
%            Number of atoms       :  307 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  312 ( 142   ~; 129   |;  20   &)
%                                         (  12 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   9 prp; 0-4 aty)
%            Number of functors    :   28 (  28 usr;  25 con; 0-2 aty)
%            Number of variables   :  140 (   0 sgn 136   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2,X3] :
      ( accept_team(X0,X3,X1,X2)
    <=> ( accept_city(X0,X1)
        & accept_leader(X0,X3)
        & accept_number(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_1) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( accept_population(X0,X3,X1)
        & less(X2,X1) )
     => accept_population(X0,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_3) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( the_agent_in_all_proposed_teams(X0,X1,X2)
     => ( accept_leader(X0,X1)
        & accept_city(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_4) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( any_agent_in_all_proposed_teams(X0,X1,X2)
     => accept_leader(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_5) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( the_agent_not_in_any_proposed_teams(X0,X1,X2)
     => ~ ( accept_city(X0,X2)
          & accept_leader(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_6) ).

fof(f16,axiom,
    ! [X0] :
      ( ( accept_population(X0,atheist,n75)
        & accept_population(X0,christian,n24)
        & accept_population(X0,muslim,n1)
        & accept_population(X0,native,n0)
        & accept_population(X0,other,n0) )
    <=> accept_city(X0,towna) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_9) ).

fof(f19,axiom,
    ! [X0] :
      ( ( accept_population(X0,atheist,n78)
        & accept_population(X0,christian,n20)
        & accept_population(X0,muslim,n1)
        & accept_population(X0,native,n0)
        & accept_population(X0,other,n1) )
    <=> accept_city(X0,cityb) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_12) ).

fof(f20,axiom,
    ! [X0] :
      ( ( accept_population(X0,atheist,n30)
        & accept_population(X0,christian,n0)
        & accept_population(X0,muslim,n65)
        & accept_population(X0,native,n0)
        & accept_population(X0,other,n5) )
    <=> accept_city(X0,townc) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_13) ).

fof(f28,axiom,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_8) ).

fof(f31,axiom,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_11) ).

fof(f32,axiom,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_12) ).

fof(f124,axiom,
    the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_104) ).

fof(f270,axiom,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn0) ).

fof(f294,axiom,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn24) ).

fof(f345,axiom,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn75) ).

fof(f370,axiom,
    rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn100) ).

fof(f526,axiom,
    rdn_non_zero_digit(rdnn(n1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit1) ).

fof(f545,axiom,
    ! [X0,X1,X2,X3] :
      ( rdn_positive_less(X1,X3)
     => rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_high) ).

fof(f547,axiom,
    ! [X0,X1,X2] :
      ( rdn_non_zero(X2)
     => rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_extra_digits_positive_less) ).

fof(f548,axiom,
    ! [X0] :
      ( rdn_non_zero_digit(rdnn(X0))
     => rdn_non_zero(rdnn(X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).

fof(f549,axiom,
    ! [X0,X1] :
      ( rdn_non_zero(X1)
     => rdn_non_zero(rdn(rdnn(X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_structure) ).

fof(f550,axiom,
    ! [X0,X1,X2,X3] :
      ( ( rdn_translate(X0,rdn_pos(X2))
        & rdn_translate(X1,rdn_pos(X3))
        & rdn_positive_less(X2,X3) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).

fof(f556,conjecture,
    ? [X0,X1] : ~ accept_population(X0,X1,n100),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_26) ).

fof(f557,negated_conjecture,
    ~ ? [X0,X1] : ~ accept_population(X0,X1,n100),
    inference(negated_conjecture,[status(cth)],[f556]) ).

fof(f564,plain,
    ! [X0,X1,X2,X3] :
      ( accept_population(X0,X3,X2)
      | ~ accept_population(X0,X3,X1)
      | ~ less(X2,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f565,plain,
    ! [X0,X1,X2,X3] :
      ( accept_population(X0,X3,X2)
      | ~ accept_population(X0,X3,X1)
      | ~ less(X2,X1) ),
    inference(flattening,[],[f564]) ).

fof(f566,plain,
    ! [X0,X1,X2] :
      ( ( accept_leader(X0,X1)
        & accept_city(X0,X2) )
      | ~ the_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f567,plain,
    ! [X0,X1,X2] :
      ( accept_leader(X0,X1)
      | ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f568,plain,
    ! [X0,X1,X2] :
      ( ~ accept_city(X0,X2)
      | ~ accept_leader(X0,X1)
      | ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f569,plain,
    ! [X0,X1,X2] :
      ( ~ accept_city(X0,X2)
      | ~ accept_leader(X0,X1)
      | ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
    inference(flattening,[],[f568]) ).

fof(f572,plain,
    ! [X0,X1,X2,X3] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
      | ~ rdn_positive_less(X1,X3) ),
    inference(ennf_transformation,[],[f545]) ).

fof(f575,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
      | ~ rdn_non_zero(X2) ),
    inference(ennf_transformation,[],[f547]) ).

fof(f576,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(ennf_transformation,[],[f548]) ).

fof(f577,plain,
    ! [X0,X1] :
      ( rdn_non_zero(rdn(rdnn(X0),X1))
      | ~ rdn_non_zero(X1) ),
    inference(ennf_transformation,[],[f549]) ).

fof(f578,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_positive_less(X2,X3) ),
    inference(ennf_transformation,[],[f550]) ).

fof(f579,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_positive_less(X2,X3) ),
    inference(flattening,[],[f578]) ).

fof(f584,plain,
    ! [X0,X1] : accept_population(X0,X1,n100),
    inference(ennf_transformation,[],[f557]) ).

fof(f587,plain,
    ! [X2,X3,X0,X1] :
      ( accept_city(X0,X1)
      | ~ accept_team(X0,X3,X1,X2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f590,plain,
    ! [X2,X3,X0,X1] :
      ( accept_population(X0,X3,X2)
      | ~ accept_population(X0,X3,X1)
      | ~ less(X2,X1) ),
    inference(cnf_transformation,[],[f565]) ).

fof(f591,plain,
    ! [X2,X0,X1] :
      ( accept_city(X0,X2)
      | ~ the_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(cnf_transformation,[],[f566]) ).

fof(f593,plain,
    ! [X2,X0,X1] :
      ( accept_leader(X0,X1)
      | ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(cnf_transformation,[],[f567]) ).

fof(f594,plain,
    ! [X2,X0,X1] :
      ( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
      | ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2) ),
    inference(cnf_transformation,[],[f569]) ).

fof(f643,plain,
    ! [X0] :
      ( ~ accept_population(X0,other,n0)
      | accept_city(X0,towna)
      | ~ accept_population(X0,native,n0)
      | ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,christian,n24)
      | ~ accept_population(X0,atheist,n75) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f664,plain,
    ! [X0] :
      ( accept_population(X0,muslim,n1)
      | ~ accept_city(X0,cityb) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f669,plain,
    ! [X0] :
      ( accept_population(X0,native,n0)
      | ~ accept_city(X0,townc) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f680,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
    inference(cnf_transformation,[],[f28]) ).

fof(f683,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f31]) ).

fof(f684,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f32]) ).

fof(f776,plain,
    the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
    inference(cnf_transformation,[],[f124]) ).

fof(f922,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(cnf_transformation,[],[f270]) ).

fof(f946,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    inference(cnf_transformation,[],[f294]) ).

fof(f997,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    inference(cnf_transformation,[],[f345]) ).

fof(f1022,plain,
    rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
    inference(cnf_transformation,[],[f370]) ).

fof(f1178,plain,
    rdn_non_zero_digit(rdnn(n1)),
    inference(cnf_transformation,[],[f526]) ).

fof(f1197,plain,
    ! [X2,X3,X0,X1] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
      | ~ rdn_positive_less(X1,X3) ),
    inference(cnf_transformation,[],[f572]) ).

fof(f1199,plain,
    ! [X2,X0,X1] :
      ( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
      | ~ rdn_non_zero(X2) ),
    inference(cnf_transformation,[],[f575]) ).

fof(f1200,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(cnf_transformation,[],[f576]) ).

fof(f1201,plain,
    ! [X0,X1] :
      ( rdn_non_zero(rdn(rdnn(X0),X1))
      | ~ rdn_non_zero(X1) ),
    inference(cnf_transformation,[],[f577]) ).

fof(f1202,plain,
    ! [X2,X3,X0,X1] :
      ( less(X0,X1)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_positive_less(X2,X3) ),
    inference(cnf_transformation,[],[f579]) ).

fof(f1208,plain,
    ! [X0,X1] : accept_population(X0,X1,n100),
    inference(cnf_transformation,[],[f584]) ).

fof(f1214,plain,
    ( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
    | ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(resolution,[],[f594,f683]) ).

fof(f1218,definition,
    ( spl0_1
  <=> accept_city(muslimcountrybhumanitarianorganization,towna) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f1220,plain,
    ( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1222,definition,
    ( spl0_2
  <=> accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f1224,plain,
    ( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f1222]) ).

fof(f1225,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1214,f1222,f1218]) ).

fof(f1590,plain,
    ! [X0,X1] :
      ( accept_city(X0,towna)
      | ~ accept_population(X0,native,n0)
      | ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,christian,n24)
      | ~ accept_population(X0,atheist,n75)
      | ~ accept_population(X0,other,X1)
      | ~ less(n0,X1) ),
    inference(resolution,[],[f643,f590]) ).

fof(f3097,plain,
    ( ! [X0] :
        ( ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
        | ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
        | ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
        | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
        | ~ accept_population(muslimcountrybhumanitarianorganization,other,X0)
        | ~ less(n0,X0) )
    | spl0_1 ),
    inference(resolution,[],[f1590,f1220]) ).

fof(f47275,definition,
    ( spl0_18
  <=> ! [X0] :
        ( ~ accept_population(muslimcountrybhumanitarianorganization,other,X0)
        | ~ less(n0,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f47276,plain,
    ( ! [X0] :
        ( ~ accept_population(muslimcountrybhumanitarianorganization,other,X0)
        | ~ less(n0,X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f47275]) ).

fof(f47278,definition,
    ( spl0_19
  <=> accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f47280,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f47278]) ).

fof(f47282,definition,
    ( spl0_20
  <=> accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f47284,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f47282]) ).

fof(f47286,definition,
    ( spl0_21
  <=> accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f47288,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f47286]) ).

fof(f47290,definition,
    ( spl0_22
  <=> accept_population(muslimcountrybhumanitarianorganization,native,n0) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f47292,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f47290]) ).

fof(f47293,plain,
    ( spl0_18
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_21
    | ~ spl0_22
    | spl0_1 ),
    inference(avatar_split_clause,[],[f3097,f1218,f47290,f47286,f47282,f47278,f47275]) ).

fof(f47300,plain,
    ( ! [X0] :
        ( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,X0)
        | ~ less(n75,X0) )
    | spl0_19 ),
    inference(resolution,[],[f47280,f590]) ).

fof(f107865,plain,
    ( ~ less(n75,n100)
    | spl0_19 ),
    inference(resolution,[],[f47300,f1208]) ).

fof(f107902,plain,
    ( ~ accept_city(muslimcountrybhumanitarianorganization,townc)
    | spl0_22 ),
    inference(resolution,[],[f47292,f669]) ).

fof(f107910,plain,
    ( ! [X0] : ~ the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,X0,townc)
    | spl0_22 ),
    inference(resolution,[],[f107902,f591]) ).

fof(f107927,plain,
    ( $false
    | spl0_22 ),
    inference(resolution,[],[f107910,f776]) ).

fof(f107928,plain,
    spl0_22,
    inference(avatar_contradiction_clause,[],[f107927]) ).

fof(f107930,plain,
    ( ! [X0] :
        ( ~ accept_population(muslimcountrybhumanitarianorganization,christian,X0)
        | ~ less(n24,X0) )
    | spl0_20 ),
    inference(resolution,[],[f47284,f590]) ).

fof(f107979,plain,
    ( ~ less(n24,n100)
    | spl0_20 ),
    inference(resolution,[],[f107930,f1208]) ).

fof(f108027,plain,
    ( ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
    | spl0_21 ),
    inference(resolution,[],[f47288,f664]) ).

fof(f108034,plain,
    ( ! [X0,X1] : ~ accept_team(muslimcountrybhumanitarianorganization,X0,cityb,X1)
    | spl0_21 ),
    inference(resolution,[],[f108027,f587]) ).

fof(f108046,plain,
    ( $false
    | spl0_21 ),
    inference(resolution,[],[f108034,f680]) ).

fof(f108052,plain,
    spl0_21,
    inference(avatar_contradiction_clause,[],[f108046]) ).

fof(f108098,plain,
    ( ~ less(n0,n100)
    | ~ spl0_18 ),
    inference(resolution,[],[f47276,f1208]) ).

fof(f108123,plain,
    ( ! [X0,X1] :
        ( ~ rdn_translate(n100,rdn_pos(X0))
        | ~ rdn_translate(n75,rdn_pos(X1))
        | ~ rdn_positive_less(X1,X0) )
    | spl0_19 ),
    inference(resolution,[],[f107865,f1202]) ).

fof(f108163,plain,
    ( ! [X0] :
        ( ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),X0)
        | ~ rdn_translate(n100,rdn_pos(X0)) )
    | spl0_19 ),
    inference(resolution,[],[f108123,f997]) ).

fof(f108182,plain,
    ( ! [X0,X1] :
        ( ~ rdn_translate(n100,rdn_pos(rdn(rdnn(X0),X1)))
        | ~ rdn_positive_less(rdnn(n7),X1) )
    | spl0_19 ),
    inference(resolution,[],[f108163,f1197]) ).

fof(f108191,plain,
    ( ~ rdn_positive_less(rdnn(n7),rdn(rdnn(n0),rdnn(n1)))
    | spl0_19 ),
    inference(resolution,[],[f108182,f1022]) ).

fof(f108202,plain,
    ( ~ rdn_non_zero(rdnn(n1))
    | spl0_19 ),
    inference(resolution,[],[f108191,f1199]) ).

fof(f108207,plain,
    ( ~ rdn_non_zero_digit(rdnn(n1))
    | spl0_19 ),
    inference(resolution,[],[f108202,f1200]) ).

fof(f108208,plain,
    ( $false
    | spl0_19 ),
    inference(forward_subsumption_resolution,[],[f108207,f1178]) ).

fof(f108209,plain,
    spl0_19,
    inference(avatar_contradiction_clause,[],[f108208]) ).

fof(f108211,plain,
    ( ! [X0,X1] :
        ( ~ rdn_translate(n100,rdn_pos(X0))
        | ~ rdn_translate(n24,rdn_pos(X1))
        | ~ rdn_positive_less(X1,X0) )
    | spl0_20 ),
    inference(resolution,[],[f107979,f1202]) ).

fof(f108265,plain,
    ( ! [X0] :
        ( ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),X0)
        | ~ rdn_translate(n100,rdn_pos(X0)) )
    | spl0_20 ),
    inference(resolution,[],[f108211,f946]) ).

fof(f108408,plain,
    ( ! [X0,X1] :
        ( ~ rdn_translate(n100,rdn_pos(rdn(rdnn(X0),X1)))
        | ~ rdn_positive_less(rdnn(n2),X1) )
    | spl0_20 ),
    inference(resolution,[],[f108265,f1197]) ).

fof(f108425,plain,
    ( ~ rdn_positive_less(rdnn(n2),rdn(rdnn(n0),rdnn(n1)))
    | spl0_20 ),
    inference(resolution,[],[f108408,f1022]) ).

fof(f108426,plain,
    ( ~ rdn_non_zero(rdnn(n1))
    | spl0_20 ),
    inference(resolution,[],[f108425,f1199]) ).

fof(f108428,plain,
    ( ~ rdn_non_zero_digit(rdnn(n1))
    | spl0_20 ),
    inference(resolution,[],[f108426,f1200]) ).

fof(f108429,plain,
    ( $false
    | spl0_20 ),
    inference(forward_subsumption_resolution,[],[f108428,f1178]) ).

fof(f108430,plain,
    spl0_20,
    inference(avatar_contradiction_clause,[],[f108429]) ).

fof(f108444,plain,
    ( ! [X0,X1] :
        ( ~ rdn_translate(n100,rdn_pos(X0))
        | ~ rdn_translate(n0,rdn_pos(X1))
        | ~ rdn_positive_less(X1,X0) )
    | ~ spl0_18 ),
    inference(resolution,[],[f108098,f1202]) ).

fof(f108485,plain,
    ( ! [X0] :
        ( ~ rdn_positive_less(rdnn(n0),X0)
        | ~ rdn_translate(n100,rdn_pos(X0)) )
    | ~ spl0_18 ),
    inference(resolution,[],[f108444,f922]) ).

fof(f109515,plain,
    ( ! [X0,X1] :
        ( ~ rdn_translate(n100,rdn_pos(rdn(rdnn(X0),X1)))
        | ~ rdn_non_zero(X1) )
    | ~ spl0_18 ),
    inference(resolution,[],[f108485,f1199]) ).

fof(f109667,definition,
    ( spl0_122
  <=> rdn_non_zero(rdnn(n1)) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f109668,plain,
    ( rdn_non_zero(rdnn(n1))
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f109667]) ).

fof(f109669,plain,
    ( ~ rdn_non_zero(rdnn(n1))
    | spl0_122 ),
    inference(avatar_component_clause,[],[f109667]) ).

fof(f109674,plain,
    ( ~ rdn_non_zero_digit(rdnn(n1))
    | spl0_122 ),
    inference(resolution,[],[f109669,f1200]) ).

fof(f109675,plain,
    ( $false
    | spl0_122 ),
    inference(forward_subsumption_resolution,[],[f109674,f1178]) ).

fof(f109676,plain,
    spl0_122,
    inference(avatar_contradiction_clause,[],[f109675]) ).

fof(f109707,plain,
    ( ~ rdn_non_zero(rdn(rdnn(n0),rdnn(n1)))
    | ~ spl0_18 ),
    inference(resolution,[],[f109515,f1022]) ).

fof(f109725,plain,
    ( ~ rdn_non_zero(rdnn(n1))
    | ~ spl0_18 ),
    inference(resolution,[],[f109707,f1201]) ).

fof(f109726,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f109725,f109668]) ).

fof(f109727,plain,
    ( ~ spl0_18
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f109726]) ).

fof(f109753,plain,
    ( ! [X0] : ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,X0)
    | spl0_2 ),
    inference(resolution,[],[f1224,f593]) ).

fof(f109847,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f109753,f684]) ).

fof(f109848,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f109847]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f1225]) ).

cnf(s8,plain,
    ( spl0_1
    | spl0_18
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_21
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f47293]) ).

cnf(s13,plain,
    spl0_22,
    inference(sat_conversion,[],[f107928]) ).

cnf(s19,plain,
    spl0_21,
    inference(sat_conversion,[],[f108052]) ).

cnf(s22,plain,
    spl0_19,
    inference(sat_conversion,[],[f108209]) ).

cnf(s35,plain,
    spl0_20,
    inference(sat_conversion,[],[f108430]) ).

cnf(s93,plain,
    spl0_122,
    inference(sat_conversion,[],[f109676]) ).

cnf(s98,plain,
    ( ~ spl0_18
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f109727]) ).

cnf(s101,plain,
    spl0_2,
    inference(sat_conversion,[],[f109848]) ).

cnf(s104,plain,
    ~ spl0_18,
    inference(rat,[],[s98,s93]) ).

cnf(s118,plain,
    spl0_1,
    inference(rat,[],[s8,s13,s19,s35,s22,s104]) ).

cnf(s122,plain,
    $false,
    inference(rat,[],[s1,s101,s118]) ).

fof(f109849,plain,
    $false,
    inference(avatar_sat_refutation,[],[s122]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : AGT026+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n016.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 19:19:33 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.34/3.01  % (3908930)Will run a generic schedule for satisfiability detection.
% 18.34/3.01  % (3908941)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1120377545:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 18.34/3.01  % (3908936)% WARNING: option uhcvi not known.
% 18.34/3.01  % (3908935)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=52212366_2999 on theBenchmark for (2999ds/0Mi)
% 18.34/3.01  % (3908936)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=259939272:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 18.34/3.01  % (3908937)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1581942929:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 18.34/3.01  % (3908938)dis+10_1_sil=32000:sp=arity:random_seed=2708969212:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 18.34/3.01  % (3908939)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2715619991:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 18.34/3.01  % (3908940)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2012441792:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 18.34/3.01  % (3908941)Instruction limit reached! 
% 18.34/3.01  % (3908941)------------------------------
% 18.34/3.01  % (3908941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.01  % (3908941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.01  % (3908941)CaDiCaL version: 2.1.3
% 18.34/3.01  % (3908941)Termination reason: Instruction limit
% 18.34/3.01  % (3908941)Termination phase: Saturation
% 18.34/3.01  % (3908941)Time elapsed: 0.033 s
% 18.34/3.01  % (3908941)Peak memory usage: 13 MB
% 18.34/3.01  % (3908941)Instructions burned: 163 (million)
% 18.34/3.01  % (3908949)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2747835087:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 18.34/3.01  % TRYING [1]
% 18.34/3.01  % TRYING [2]
% 18.34/3.01  % (3908938)Instruction limit reached! 
% 18.34/3.01  % (3908938)------------------------------
% 18.34/3.01  % (3908938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.01  % (3908938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.01  % (3908938)CaDiCaL version: 2.1.3
% 18.34/3.01  % (3908938)Termination reason: Instruction limit
% 18.34/3.01  % (3908938)Termination phase: Saturation
% 18.34/3.01  % (3908938)Time elapsed: 0.052 s
% 18.34/3.01  % (3908938)Peak memory usage: 13 MB
% 18.34/3.01  % (3908938)Instructions burned: 104 (million)
% 18.34/3.01  % TRYING [1]
% 18.34/3.01  % TRYING [3]
% 18.34/3.01  % TRYING [2]
% 18.34/3.01  % (3908939)Instruction limit reached! 
% 18.34/3.01  % (3908939)------------------------------
% 18.34/3.01  % (3908939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.01  % (3908939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.01  % (3908939)CaDiCaL version: 2.1.3
% 18.34/3.01  % (3908939)Termination reason: Instruction limit
% 18.34/3.01  % (3908939)Termination phase: Saturation
% 18.34/3.01  % (3908939)Time elapsed: 0.060 s
% 18.34/3.01  % (3908939)Peak memory usage: 14 MB
% 18.34/3.01  % (3908939)Instructions burned: 116 (million)
% 18.34/3.01  % TRYING [3]
% 18.34/3.01  % (3908940)Instruction limit reached! 
% 18.34/3.01  % (3908940)------------------------------
% 18.34/3.01  % (3908940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.01  % (3908940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.01  % (3908940)CaDiCaL version: 2.1.3
% 18.34/3.01  % (3908940)Termination reason: Instruction limit
% 18.34/3.01  % (3908940)Termination phase: Saturation
% 18.34/3.01  % (3908940)Time elapsed: 0.066 s
% 18.34/3.01  % (3908940)Peak memory usage: 15 MB
% 18.34/3.01  % (3908940)Instructions burned: 132 (million)
% 18.34/3.01  % (3908951)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2187940580:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 18.34/3.01  % (3908952)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=121689092:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 18.34/3.01  % (3908953)ott-21_1_sil=16000:fs=off:random_seed=3320988146:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 18.34/3.01  % TRYING [4]
% 18.34/3.01  % TRYING [4]
% 18.34/3.01  % (3908951)Instruction limit reached! 
% 18.34/3.01  % (3908951)------------------------------
% 18.34/3.01  % (3908951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.01  % (3908951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/3.07  % (3908951)CaDiCaL version: 2.1.3
% 9.28/3.07  % (3908951)Termination reason: Instruction limit
% 9.28/3.07  % (3908951)Termination phase: Saturation
% 9.28/3.07  % (3908951)Time elapsed: 0.070 s
% 9.28/3.07  % (3908951)Peak memory usage: 14 MB
% 9.28/3.07  % (3908951)Instructions burned: 131 (million)
% 9.28/3.07  % (3908957)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=59192890:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 9.28/3.07  % (3908953)Instruction limit reached! 
% 9.28/3.07  % (3908953)------------------------------
% 9.28/3.07  % (3908953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.28/3.07  % (3908953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/3.07  % (3908953)CaDiCaL version: 2.1.3
% 9.28/3.07  % (3908953)Termination reason: Instruction limit
% 9.28/3.07  % (3908953)Termination phase: Saturation
% 9.28/3.07  % (3908953)Time elapsed: 0.084 s
% 9.28/3.07  % (3908953)Peak memory usage: 13 MB
% 9.28/3.07  % (3908953)Instructions burned: 181 (million)
% 9.28/3.07  % (3908959)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=476357966:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 9.28/3.07  % (3908949)Instruction limit reached! 
% 9.28/3.07  % (3908949)------------------------------
% 9.28/3.07  % (3908949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.28/3.07  % (3908949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/3.07  % (3908949)CaDiCaL version: 2.1.3
% 9.28/3.07  % (3908949)Termination reason: Instruction limit
% 9.28/3.07  % (3908949)Termination phase: Finite model building SAT solving
% 9.28/3.07  % (3908949)Time elapsed: 0.175 s
% 9.28/3.07  % (3908949)Peak memory usage: 31 MB
% 9.28/3.07  % (3908949)Instructions burned: 715 (million)
% 9.28/3.07  % (3908961)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=638591512:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 9.28/3.07  % TRYING [1]
% 9.28/3.07  % TRYING [2]
% 9.28/3.07  % TRYING [3]
% 9.28/3.07  % TRYING [5]
% 9.28/3.07  % (3908957)Instruction limit reached! 
% 9.28/3.07  % (3908957)------------------------------
% 9.28/3.07  % (3908957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.28/3.07  % (3908957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/3.07  % (3908957)CaDiCaL version: 2.1.3
% 9.28/3.07  % (3908957)Termination reason: Instruction limit
% 9.28/3.07  % (3908957)Termination phase: Saturation
% 9.28/3.07  % (3908957)Time elapsed: 0.243 s
% 9.28/3.07  % (3908957)Peak memory usage: 17 MB
% 9.28/3.07  % (3908957)Instructions burned: 478 (million)
% 9.28/3.07  % (3908963)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=31746339:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 9.28/3.07  % (3908952)Instruction limit reached! 
% 9.28/3.07  % (3908952)------------------------------
% 9.28/3.07  % (3908952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.28/3.07  % (3908952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/3.07  % (3908952)CaDiCaL version: 2.1.3
% 9.28/3.07  % (3908952)Termination reason: Instruction limit
% 9.28/3.07  % (3908952)Termination phase: Saturation
% 9.28/3.07  % (3908952)Time elapsed: 0.362 s
% 9.28/3.07  % (3908952)Peak memory usage: 23 MB
% 9.28/3.07  % (3908952)Instructions burned: 685 (million)
% 9.28/3.07  % (3908965)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=2225838201:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 9.28/3.07  % TRYING [4]
% 9.28/3.07  % TRYING [14]
% 9.28/3.07  % (3908959)Instruction limit reached! 
% 9.28/3.07  % (3908959)------------------------------
% 9.28/3.07  % (3908959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.28/3.07  % (3908959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/3.07  % (3908959)CaDiCaL version: 2.1.3
% 9.28/3.07  % (3908959)Termination reason: Instruction limit
% 9.28/3.07  % (3908959)Termination phase: Finite model building constraint generation
% 9.28/3.07  % (3908959)Time elapsed: 0.316 s
% 9.28/3.07  % (3908959)Peak memory usage: 20 MB
% 9.28/3.07  % (3908959)Instructions burned: 869 (million)
% 9.28/3.07  % (3908967)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2471744528:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 9.28/3.07  % (3908961)Instruction limit reached! 
% 9.28/3.07  % (3908961)------------------------------
% 9.28/3.07  % (3908961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.28/3.07  % (3908961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/3.07  % (3908961)CaDiCaL version: 2.1.3
% 9.28/3.07  % (3908961)Termination reason: Instruction limit
% 9.28/3.07  % (3908961)Termination phase: Saturation
% 9.28/3.07  % (3908961)Time elapsed: 0.348 s
% 9.28/3.07  % (3908961)Peak memory usage: 28 MB
% 9.28/3.07  % (3908961)Instructions burned: 1180 (million)
% 9.28/3.07  % (3908969)fmb+10_1_sil=64000:random_seed=4236701715:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 9.28/3.07  % TRYING [1]
% 9.28/3.07  % TRYING [2]
% 9.28/3.07  % TRYING [3]
% 9.28/3.07  % TRYING [4]
% 9.28/3.07  % (3908963)Instruction limit reached! 
% 9.28/3.07  % (3908963)------------------------------
% 9.28/3.07  % (3908963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.28/3.07  % (3908963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/3.07  % (3908963)CaDiCaL version: 2.1.3
% 9.28/3.07  % (3908963)Termination reason: Instruction limit
% 9.28/3.07  % (3908963)Termination phase: Finite model building constraint generation
% 9.28/3.07  % (3908963)Time elapsed: 0.328 s
% 9.28/3.07  % (3908963)Peak memory usage: 73 MB
% 9.28/3.07  % (3908963)Instructions burned: 891 (million)
% 9.28/3.07  % (3908971)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3769966756:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 9.28/3.07  % TRYING [6]
% 9.28/3.07  % (3908965)Instruction limit reached! 
% 9.28/3.07  % (3908965)------------------------------
% 9.28/3.07  % (3908965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.28/3.07  % (3908965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/3.07  % (3908965)CaDiCaL version: 2.1.3
% 9.28/3.07  % (3908965)Termination reason: Instruction limit
% 9.28/3.07  % (3908965)Termination phase: Saturation
% 9.28/3.07  % (3908965)Time elapsed: 0.353 s
% 9.28/3.07  % (3908965)Peak memory usage: 26 MB
% 9.28/3.07  % (3908965)Instructions burned: 693 (million)
% 9.28/3.07  % TRYING [20]
% 9.28/3.07  % (3908973)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1111644543:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 9.28/3.07  % TRYING [8]
% 9.28/3.07  % (3908967)Instruction limit reached! 
% 9.28/3.07  % (3908967)------------------------------
% 9.28/3.07  % (3908967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.28/3.07  % (3908967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/3.07  % (3908967)CaDiCaL version: 2.1.3
% 9.28/3.07  % (3908967)Termination reason: Instruction limit
% 9.28/3.07  % (3908967)Termination phase: Saturation
% 9.28/3.07  % (3908967)Time elapsed: 0.405 s
% 9.28/3.07  % (3908967)Peak memory usage: 23 MB
% 9.28/3.07  % (3908967)Instructions burned: 879 (million)
% 9.28/3.07  % (3908975)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1467784492:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 9.28/3.07  % TRYING [5]
% 9.28/3.07  % (3908973)Instruction limit reached! 
% 9.28/3.07  % (3908973)------------------------------
% 9.28/3.07  % (3908973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.28/3.07  % (3908973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/3.07  % (3908973)CaDiCaL version: 2.1.3
% 9.28/3.07  % (3908973)Termination reason: Instruction limit
% 9.28/3.07  % (3908973)Termination phase: Finite model building constraint generation
% 9.28/3.07  % (3908973)Time elapsed: 0.332 s
% 9.28/3.07  % (3908973)Peak memory usage: 68 MB
% 9.28/3.07  % (3908973)Instructions burned: 923 (million)
% 9.28/3.07  % (3908977)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=155816419:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 9.28/3.07  % TRYING [6]
% 9.28/3.07  % TRYING [7]
% 9.28/3.07  % (3908977)Instruction limit reached! 
% 9.28/3.07  % (3908977)------------------------------
% 9.28/3.07  % (3908977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.28/3.07  % (3908977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/3.07  % (3908977)CaDiCaL version: 2.1.3
% 9.28/3.07  % (3908977)Termination reason: Instruction limit
% 9.28/3.07  % (3908977)Termination phase: Saturation
% 9.28/3.07  % (3908977)Time elapsed: 0.793 s
% 9.28/3.07  % (3908977)Peak memory usage: 30 MB
% 9.28/3.07  % (3908977)Instructions burned: 1474 (million)
% 9.28/3.07  % (3908979)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1331257609:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 9.28/3.07  % TRYING [77]
% 9.28/3.07  % TRYING [7]
% 9.28/3.07  % (3908975) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3908930-3908975"...
% 9.28/3.07  % (3908975)...printing done.
% 9.28/3.07  % (3908975)Refutation found. Thanks to Tanya!
% 9.28/3.07  % SZS status Theorem for theBenchmark
% 9.28/3.07  % SZS output start Proof for theBenchmark
% See solution above
% 9.28/3.08  % (3908975)------------------------------
% 9.28/3.08  % (3908975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.28/3.08  % (3908975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.28/3.08  % (3908975)CaDiCaL version: 2.1.3
% 9.28/3.08  % (3908975)Termination reason: Refutation
% 9.28/3.08  % (3908975)Time elapsed: 1.799 s
% 9.28/3.08  % (3908975)Peak memory usage: 41 MB
% 9.28/3.08  % (3908975)Instructions burned: 3555 (million)
% 9.28/3.08  % (3908930)Success in time 2.851 s
% 9.28/3.08  % Vampire exiting
%------------------------------------------------------------------------------